id
stringlengths 9
14
| submitter
stringlengths 1
56
⌀ | authors
stringlengths 5
835
| title
stringlengths 5
209
| comments
stringlengths 2
590
⌀ | journal-ref
stringlengths 11
239
⌀ | doi
stringlengths 14
94
⌀ | report-no
stringlengths 4
104
⌀ | categories
stringclasses 610
values | license
stringclasses 9
values | orig_abstract
stringlengths 22
2.01k
| versions
listlengths 1
16
| update_date
stringdate 2007-05-23 00:00:00
2024-08-16 00:00:00
| authors_parsed
listlengths 1
32
| abstract
stringlengths 19
2.01k
| perplexity_Llama-3.1-8B
float64 2.29
655
| perplexity_s1-L-3.1-8B-base
float64 2.77
362
| perplexity_s2-L-3.1-8B-base
float64 3.14
496
| perplexity_s3-L-3.1-8B-base_v3
float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
467
| perplexity_s8-L-3.1-8B-base
float64 2.89
220
| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
600
| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
729
| perplexity_s2-L-3.1-8B-qkv
float64 3.05
621
| perplexity_s3-L-3.1-8B-qkv
float64 2.96
631
| perplexity_s4-L-3.1-8B-qkv
float64 2.86
570
| perplexity_s5-L-3.1-8B-qkv
float64 2.93
558
| perplexity_s6-L-3.1-8B-qkv
float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
682
| perplexity_s8-L-3.1-8B-qkv
float64 2.92
502
| perplexity_s9-L-3.1-8B-qkv
float64 3.06
549
| perplexity_s10-L-3.1-8B-qkv
float64 2.95
795
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2012.15563
|
Yegor Zenkevich
|
Yegor Zenkevich
|
Mixed network calculus
|
23 pages
| null |
10.1007/JHEP12(2021)027
|
ITEP/TH-35/20; MIPT/TH-20/20
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how to combine higgsed topological vertices introduced in our
previous work with conventional refined topological vertices. We demonstrate
that the extended formalism describes very general interacting D5-NS5-D3 brane
systems. In particular, we introduce new types of intertwining operators of
Ding-Iohara-Miki algebra between different types of Fock representations
corresponding to the crossings of NS5 and D5 branes. As a byproduct we obtain
an algebraic description of the Hanany-Witten brane creation effect, give an
efficient recipe to compute the brane factors in 3d N=2 and N=4 quiver gauge
theories and demonstrate how 3d S-duality appears in our setup.
|
[
{
"created": "Thu, 31 Dec 2020 11:38:05 GMT",
"version": "v1"
}
] |
2021-12-22
|
[
[
"Zenkevich",
"Yegor",
""
]
] |
We show how to combine higgsed topological vertices introduced in our previous work with conventional refined topological vertices. We demonstrate that the extended formalism describes very general interacting D5-NS5-D3 brane systems. In particular, we introduce new types of intertwining operators of Ding-Iohara-Miki algebra between different types of Fock representations corresponding to the crossings of NS5 and D5 branes. As a byproduct we obtain an algebraic description of the Hanany-Witten brane creation effect, give an efficient recipe to compute the brane factors in 3d N=2 and N=4 quiver gauge theories and demonstrate how 3d S-duality appears in our setup.
| 11.718555
| 11.173523
| 15.1221
| 10.599001
| 11.013166
| 11.272908
| 10.995569
| 11.146605
| 10.786054
| 18.034796
| 11.147208
| 11.073553
| 13.185372
| 11.40872
| 11.735723
| 11.825613
| 11.724783
| 11.688481
| 11.114505
| 12.417377
| 11.527361
|
1804.11343
|
Siye Wu
|
Siye Wu
|
Non-orientable surfaces and electric-magnetic duality
|
34 pages, more corrections in v3
| null |
10.1007/JHEP10(2018)169
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the reduction along two compact directions of a twisted N=4 gauge
theory on a 4-dimensional orientable manifold which is not a global product of
two surfaces but contains a non-orientable surface. The low energy theory is a
sigma-model on a 2-dimensional worldsheet with a boundary which lives on branes
constructed from the Hitchin moduli space of the non-orientable surface. We
modify 't Hooft's notion of discrete electric and magnetic fluxes in gauge
theory due to the breaking of discrete symmetry and we match these fluxes with
the homotopy classes of maps in sigma-model. We verify the mirror symmetry of
branes as predicted by S-duality in gauge theory.
|
[
{
"created": "Mon, 30 Apr 2018 17:46:21 GMT",
"version": "v1"
},
{
"created": "Tue, 22 May 2018 17:46:54 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Oct 2018 08:31:15 GMT",
"version": "v3"
}
] |
2018-11-14
|
[
[
"Wu",
"Siye",
""
]
] |
We consider the reduction along two compact directions of a twisted N=4 gauge theory on a 4-dimensional orientable manifold which is not a global product of two surfaces but contains a non-orientable surface. The low energy theory is a sigma-model on a 2-dimensional worldsheet with a boundary which lives on branes constructed from the Hitchin moduli space of the non-orientable surface. We modify 't Hooft's notion of discrete electric and magnetic fluxes in gauge theory due to the breaking of discrete symmetry and we match these fluxes with the homotopy classes of maps in sigma-model. We verify the mirror symmetry of branes as predicted by S-duality in gauge theory.
| 10.945544
| 10.034219
| 13.023008
| 10.210334
| 10.267011
| 10.012364
| 10.36037
| 9.584014
| 10.741308
| 14.44069
| 10.378328
| 10.679219
| 11.102688
| 10.338946
| 10.128707
| 10.471221
| 10.239319
| 10.147454
| 10.68143
| 11.021083
| 10.530266
|
hep-th/9709121
|
Valeri Dvoeglazov
|
Valeri V. Dvoeglazov (Escuela de Fisica, UAZ)
|
Chiral Interactions of Massive Particles in the (1/2,0)+(0,1/2)
Representation
|
CRCKAPB.STY used, 7pp. Presented at the Second Vigier Symposium,
August 25-29, 1997, York University, Toronto, Canada
|
Causality and Locality in Modern Physics -- Proceedings of a
Symposium in honour of Jean-Pierre Vigier (Eds. G. Hunter, S. Jeffers, J.-P.
Vigier), Kluwer Academic, Dordrecht, pp. 269-276
| null |
EFUAZ FT-97-47
|
hep-th
| null |
On the basis of the first principles we argue that self/anti-self charge
conjugate states of the (1/2,0)+(0,1/2) representation can possess the axial
charge. Finally, we briefly discuss recent claims of the \sim \vec \sigma \cdot
[ \vec A \times \vec A^\ast ] interaction term for the particles of this
representation.
|
[
{
"created": "Tue, 16 Sep 1997 22:22:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dvoeglazov",
"Valeri V.",
"",
"Escuela de Fisica, UAZ"
]
] |
On the basis of the first principles we argue that self/anti-self charge conjugate states of the (1/2,0)+(0,1/2) representation can possess the axial charge. Finally, we briefly discuss recent claims of the \sim \vec \sigma \cdot [ \vec A \times \vec A^\ast ] interaction term for the particles of this representation.
| 16.547947
| 11.452434
| 12.580865
| 10.573925
| 12.099689
| 10.970164
| 12.112549
| 10.432482
| 9.619688
| 16.241117
| 11.317542
| 11.130894
| 11.180849
| 11.968077
| 11.631512
| 12.251637
| 11.710604
| 11.640417
| 11.32635
| 12.687942
| 11.335784
|
hep-th/0001095
|
Hossain Motavally
|
H. Salehi, Y. Bisabr
|
Conformal Anomaly and Large Scale Gravitational Coupling
|
4 pages, latex, no figures
|
Int.J.Theor.Phys. 39 (2000) 1241-1244
| null | null |
hep-th
| null |
We present a model in which the breackdown of conformal symmetry of a quantum
stress-tensor due to the trace anomaly is related to a cosmological effect in a
gravitational model. This is done by characterizing the traceless part of the
quantum stress-tensor in terms of the stress-tensor of a conformal invariant
classical scalar field. We introduce a conformal frame in which the anomalous
trace is identified with a cosmological constant. In this conformal frame we
establish the Einstein field equations by connecting the quantum stress-tensor
with the large scale distribution of matter in the universe.
|
[
{
"created": "Mon, 17 Jan 2000 07:23:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Salehi",
"H.",
""
],
[
"Bisabr",
"Y.",
""
]
] |
We present a model in which the breackdown of conformal symmetry of a quantum stress-tensor due to the trace anomaly is related to a cosmological effect in a gravitational model. This is done by characterizing the traceless part of the quantum stress-tensor in terms of the stress-tensor of a conformal invariant classical scalar field. We introduce a conformal frame in which the anomalous trace is identified with a cosmological constant. In this conformal frame we establish the Einstein field equations by connecting the quantum stress-tensor with the large scale distribution of matter in the universe.
| 8.377071
| 5.613568
| 8.038342
| 6.848797
| 7.873133
| 7.772642
| 8.085566
| 6.726854
| 7.108072
| 8.407779
| 6.942812
| 6.968186
| 7.804324
| 7.570081
| 7.769255
| 7.59449
| 7.869053
| 7.610672
| 7.85155
| 7.900933
| 7.816184
|
1410.5869
|
Klaus Kirsten
|
Matthew Beauregard, Michael Bordag and Klaus Kirsten
|
Casimir energies in spherically symmetric background potentials
revisited
|
14 pages, 6 figures
| null |
10.1088/1751-8113/48/9/095401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we reconsider the formulation for the computation of the
Casimir energy in spherically symmetric background potentials. Compared to the
previous analysis, the technicalities are much easier to handle and final
answers are surprisingly simple.
|
[
{
"created": "Tue, 21 Oct 2014 22:05:20 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Beauregard",
"Matthew",
""
],
[
"Bordag",
"Michael",
""
],
[
"Kirsten",
"Klaus",
""
]
] |
In this paper we reconsider the formulation for the computation of the Casimir energy in spherically symmetric background potentials. Compared to the previous analysis, the technicalities are much easier to handle and final answers are surprisingly simple.
| 18.901262
| 16.010147
| 16.209627
| 14.738808
| 14.882582
| 15.642993
| 14.738692
| 15.287923
| 14.643736
| 16.891825
| 15.035057
| 14.958805
| 16.934788
| 15.270915
| 15.215924
| 15.52161
| 14.846957
| 14.925823
| 14.977615
| 16.997255
| 14.667461
|
2003.02864
|
Gaston Giribet
|
Gaston Giribet, Matias Leoni
|
Current-current deformations, conformal integrals and correlation
functions
|
14 pages, 1 figure
| null |
10.1007/JHEP04(2020)194
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the recent work on $T\bar{T}$-type deformations of 2D CFTs, a
especial class of single-trace deformations of AdS$_3$/CFT$_2$ correspondence
has been investigated. From the worldsheet perspective, this corresponds to a
marginal deformation of the $\sigma $-model on AdS$_3$ that yields a string
background that interpolates between AdS$_3$ and a flat linear dilaton
solution. Here, with the intention of studying this worldsheet CFT further, we
consider it in the presence of a boundary. In a previous paper, we computed
different correlation functions of this theory on the disk, including the bulk
1-point function, the boundary-boundary 2-point function, and the bulk-boundary
2-point function. This led us to compute the anomalous dimension of both bulk
and boundary vertex operators, which first required a proper regularization of
the ultraviolet divergences of the conformal integrals. Here, we extend the
analysis by computing the bulk-bulk 2-point function on the disk and other
observables on the sphere. We prove that the renormalization of the vertex
operators proposed in our previous works is consistent with the form of the
sphere $N$-point functions.
|
[
{
"created": "Thu, 5 Mar 2020 19:03:44 GMT",
"version": "v1"
}
] |
2020-05-20
|
[
[
"Giribet",
"Gaston",
""
],
[
"Leoni",
"Matias",
""
]
] |
Motivated by the recent work on $T\bar{T}$-type deformations of 2D CFTs, a especial class of single-trace deformations of AdS$_3$/CFT$_2$ correspondence has been investigated. From the worldsheet perspective, this corresponds to a marginal deformation of the $\sigma $-model on AdS$_3$ that yields a string background that interpolates between AdS$_3$ and a flat linear dilaton solution. Here, with the intention of studying this worldsheet CFT further, we consider it in the presence of a boundary. In a previous paper, we computed different correlation functions of this theory on the disk, including the bulk 1-point function, the boundary-boundary 2-point function, and the bulk-boundary 2-point function. This led us to compute the anomalous dimension of both bulk and boundary vertex operators, which first required a proper regularization of the ultraviolet divergences of the conformal integrals. Here, we extend the analysis by computing the bulk-bulk 2-point function on the disk and other observables on the sphere. We prove that the renormalization of the vertex operators proposed in our previous works is consistent with the form of the sphere $N$-point functions.
| 6.488178
| 6.143555
| 7.117015
| 6.178135
| 6.237767
| 6.166761
| 6.534293
| 5.833473
| 6.023956
| 7.388268
| 5.898144
| 6.299417
| 6.589158
| 6.212951
| 6.347208
| 6.229691
| 6.321231
| 6.184465
| 6.485104
| 6.685011
| 6.210371
|
1508.02676
|
Daniel Robbins
|
Fernando Rejon-Barrera and Daniel Robbins
|
Scalar-Vector Bootstrap
|
76 pages, v3 moved several details into appendices, expanded
discussion of mixed symmetry projector
| null |
10.1007/JHEP01(2016)139
|
MI-TH-1530
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We work out all of the details required for implementation of the conformal
bootstrap program applied to the four-point function of two scalars and two
vectors in an abstract conformal field theory in arbitrary dimension. This
includes a review of which tensor structures make appearances, a construction
of the projectors onto the required mixed symmetry representations, and a
computation of the conformal blocks for all possible operators which can be
exchanged. These blocks are presented as differential operators acting upon the
previously known scalar conformal blocks. Finally, we set up the bootstrap
equations which implement crossing symmetry. Special attention is given to the
case of conserved vectors, where several simplifications occur.
|
[
{
"created": "Tue, 11 Aug 2015 18:24:42 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 2015 18:11:50 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Jan 2016 23:04:05 GMT",
"version": "v3"
}
] |
2016-02-17
|
[
[
"Rejon-Barrera",
"Fernando",
""
],
[
"Robbins",
"Daniel",
""
]
] |
We work out all of the details required for implementation of the conformal bootstrap program applied to the four-point function of two scalars and two vectors in an abstract conformal field theory in arbitrary dimension. This includes a review of which tensor structures make appearances, a construction of the projectors onto the required mixed symmetry representations, and a computation of the conformal blocks for all possible operators which can be exchanged. These blocks are presented as differential operators acting upon the previously known scalar conformal blocks. Finally, we set up the bootstrap equations which implement crossing symmetry. Special attention is given to the case of conserved vectors, where several simplifications occur.
| 7.276627
| 7.748394
| 9.183159
| 7.484122
| 7.736772
| 7.679579
| 7.867226
| 7.617564
| 7.601674
| 9.622275
| 7.241224
| 7.486888
| 8.171564
| 7.593506
| 7.274033
| 7.747633
| 7.379678
| 7.261293
| 7.388602
| 7.947393
| 7.345679
|
hep-th/9511053
|
Atish Dabholkar
|
A. Dabholkar, J. P. Gauntlett, J. A. Harvey and D. Waldram
|
Strings as Solitons & Black Holes as Strings
|
52 pages, harvmac (b)
|
Nucl.Phys. B474 (1996) 85-121
|
10.1016/0550-3213(96)00266-0
|
CALT-68-2028, EFI-95-67, UPR-681T
|
hep-th gr-qc
| null |
Supersymmetric closed string theories contain an infinite tower of
BPS-saturated, oscillating, macroscopic strings in the perturbative spectrum.
When these theories have dual formulations, this tower of states must exist
nonperturbatively as solitons in the dual theories. We present a general class
of exact solutions of low-energy supergravity that corresponds to all these
states. After dimensional reduction they can be interpreted as supersymmetric
black holes with a degeneracy related to the degeneracy of the string states.
{}For example, in four dimensions we obtain a point-like solution which is
asymptotic to a stationary, rotating, electrically-charged black hole with
Regge-bounded angular momentum and with the usual ring-singularity replaced by
a string source. This further supports the idea that the entropy of
supersymmetric black holes can be understood in terms of counting of string
states. We also discuss some applications of these solutions to string duality.
|
[
{
"created": "Wed, 8 Nov 1995 02:13:24 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Dabholkar",
"A.",
""
],
[
"Gauntlett",
"J. P.",
""
],
[
"Harvey",
"J. A.",
""
],
[
"Waldram",
"D.",
""
]
] |
Supersymmetric closed string theories contain an infinite tower of BPS-saturated, oscillating, macroscopic strings in the perturbative spectrum. When these theories have dual formulations, this tower of states must exist nonperturbatively as solitons in the dual theories. We present a general class of exact solutions of low-energy supergravity that corresponds to all these states. After dimensional reduction they can be interpreted as supersymmetric black holes with a degeneracy related to the degeneracy of the string states. {}For example, in four dimensions we obtain a point-like solution which is asymptotic to a stationary, rotating, electrically-charged black hole with Regge-bounded angular momentum and with the usual ring-singularity replaced by a string source. This further supports the idea that the entropy of supersymmetric black holes can be understood in terms of counting of string states. We also discuss some applications of these solutions to string duality.
| 9.134339
| 9.17609
| 10.015027
| 8.958052
| 9.318092
| 9.295189
| 9.28828
| 9.04124
| 8.746877
| 9.897867
| 9.042521
| 8.823895
| 9.28766
| 8.753026
| 9.083495
| 8.72611
| 9.094658
| 8.755149
| 8.658956
| 9.513996
| 8.737997
|
hep-th/9611019
|
Gerald Dunne
|
Gerald Dunne
|
An All-Orders Derivative Expansion
|
9pp LaTeX; Talk at Telluride Workshop on Low Dimensional Field Theory
|
Int.J.Mod.Phys.A12:1143-1152,1997
|
10.1142/S0217751X97000876
| null |
hep-th
| null |
We evaluate the exact $QED_{2+1}$ effective action for fermions in the
presence of a family of static but spatially inhomogeneous magnetic field
profiles. This exact result yields an all-orders derivative expansion of the
effective action, and indicates that the derivative expansion is an asymptotic,
rather than a convergent, expansion.
|
[
{
"created": "Mon, 4 Nov 1996 22:23:54 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Dunne",
"Gerald",
""
]
] |
We evaluate the exact $QED_{2+1}$ effective action for fermions in the presence of a family of static but spatially inhomogeneous magnetic field profiles. This exact result yields an all-orders derivative expansion of the effective action, and indicates that the derivative expansion is an asymptotic, rather than a convergent, expansion.
| 9.575641
| 6.188115
| 9.198551
| 6.603156
| 6.581708
| 6.280492
| 6.541518
| 6.231304
| 6.636099
| 8.636676
| 6.849989
| 7.557506
| 8.98033
| 7.873392
| 7.784566
| 7.914906
| 7.542262
| 7.785522
| 7.972332
| 8.622843
| 7.563781
|
hep-th/9904184
|
O. B. Zaslavskii
|
O.B.Zaslavskii (Department of Physics, Kharkov State University)
|
Semi-infinite throats at finite temperature and static solutions in
exactly solvable models of 2d dilaton gravity
|
12 pages, REVTeX 3.0
|
Phys.Lett. B459 (1999) 105-111
|
10.1016/S0370-2693(99)00661-9
| null |
hep-th gr-qc
| null |
Found is a general form of static solutions in exactly solvable models of 2d
dilaton gravity at finite temperature. We reveal a possibility for the
existence of everywhere regular solutions including black holes, semi-infinite
throats and star-like configurations. In particular, we consider the
Bose-Parker-Peleg (BPP) model which possesses a semi-infinite throat and
analyze it at finite temperature. We also suggest generalization of the BPP
model in which the appearance of semi-infinite throat has a generic character
and does not need special fine tuning between parameters of the solution.
|
[
{
"created": "Tue, 27 Apr 1999 08:17:17 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Zaslavskii",
"O. B.",
"",
"Department of Physics, Kharkov State University"
]
] |
Found is a general form of static solutions in exactly solvable models of 2d dilaton gravity at finite temperature. We reveal a possibility for the existence of everywhere regular solutions including black holes, semi-infinite throats and star-like configurations. In particular, we consider the Bose-Parker-Peleg (BPP) model which possesses a semi-infinite throat and analyze it at finite temperature. We also suggest generalization of the BPP model in which the appearance of semi-infinite throat has a generic character and does not need special fine tuning between parameters of the solution.
| 15.687398
| 11.211821
| 11.404733
| 10.674088
| 13.197068
| 12.615301
| 12.852365
| 11.212592
| 11.212438
| 14.188952
| 11.468631
| 12.60584
| 13.036866
| 11.875778
| 12.521286
| 12.570295
| 12.176867
| 12.501732
| 12.057358
| 13.095164
| 12.867888
|
1912.06144
|
Houri-Christina Tarazi
|
Hee-Cheol Kim, Houri-Christina Tarazi and Cumrun Vafa
|
Four Dimensional $\mathbf{\mathcal{N}=4}$ SYM and the Swampland
|
8 pages, v2: minor changes
|
Phys. Rev. D 102, 026003 (2020)
|
10.1103/PhysRevD.102.026003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider supergravity theories with 16 supercharges in Minkowski space
with dimensions $d>3$. We argue that there is an upper bound on the number of
massless modes in such theories depending on $d$. In particular we show that
the rank of the gauge symmetry group $G$ in $d$ dimensions is bounded by
$r_G\leq 26-d$. This in particular demonstrates that 4 dimensional ${\cal N}=4$
SYM theories with rank bigger than 22, despite being consistent and indeed
finite before coupling to gravity, cannot be consistently coupled to ${\cal
N}=4$ supergravity in Minkowski space and belong to the swampland. Our argument
is based on the swampland conditions of completeness of spectrum of defects as
well as a strong form of the distance conjecture and relies on unitarity as
well as supersymmetry of the worldsheet theory of BPS strings. The results are
compatible with known string constructions and provide further evidence for the
string lamppost principle (SLP): that string theory lamppost seems to capture
${\it all}$ consistent quantum gravitational theories.
|
[
{
"created": "Thu, 12 Dec 2019 19:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 2021 21:23:36 GMT",
"version": "v2"
}
] |
2021-11-04
|
[
[
"Kim",
"Hee-Cheol",
""
],
[
"Tarazi",
"Houri-Christina",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We consider supergravity theories with 16 supercharges in Minkowski space with dimensions $d>3$. We argue that there is an upper bound on the number of massless modes in such theories depending on $d$. In particular we show that the rank of the gauge symmetry group $G$ in $d$ dimensions is bounded by $r_G\leq 26-d$. This in particular demonstrates that 4 dimensional ${\cal N}=4$ SYM theories with rank bigger than 22, despite being consistent and indeed finite before coupling to gravity, cannot be consistently coupled to ${\cal N}=4$ supergravity in Minkowski space and belong to the swampland. Our argument is based on the swampland conditions of completeness of spectrum of defects as well as a strong form of the distance conjecture and relies on unitarity as well as supersymmetry of the worldsheet theory of BPS strings. The results are compatible with known string constructions and provide further evidence for the string lamppost principle (SLP): that string theory lamppost seems to capture ${\it all}$ consistent quantum gravitational theories.
| 8.343047
| 7.840109
| 9.281729
| 7.64443
| 8.480523
| 8.180127
| 7.923157
| 7.394423
| 7.680676
| 10.34283
| 7.910391
| 7.781653
| 9.049264
| 8.13937
| 8.072404
| 7.920841
| 7.999955
| 8.100645
| 8.142932
| 8.772225
| 7.855484
|
0908.0878
|
Constantin Candu
|
Constantin Candu, Vladimir Mitev, Thomas Quella, Hubert Saleur and
Volker Schomerus
|
The Sigma Model on Complex Projective Superspaces
|
59 pages, 6 figures, 1 table
|
JHEP 1002:015,2010
|
10.1007/JHEP02(2010)015
|
DESY 09-120
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The sigma model on complex projective superspaces CP^{S-1|S} gives rise to a
continuous family of interacting 2D conformal field theories which are
parametrized by the curvature radius R and the theta angle \theta. Our main
goal is to determine the spectrum of the model, non-perturbatively as a
function of both parameters. We succeed to do so for all open boundary
conditions preserving the full global symmetry of the model. In string theory
parlor, these correspond to volume filling branes that are equipped with a
monopole line bundle and connection. The paper consists of two parts. In the
first part, we approach the problem within the continuum formulation. Combining
combinatorial arguments with perturbative studies and some simple free field
calculations, we determine a closed formula for the partition function of the
theory. This is then tested numerically in the second part. There we propose a
spin chain regularization of the CP^{S-1|S} model with open boundary conditions
and use it to determine the spectrum at the conformal fixed point. The
numerical results are in remarkable agreement with the continuum analysis.
|
[
{
"created": "Thu, 6 Aug 2009 14:16:30 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 2009 16:35:17 GMT",
"version": "v2"
}
] |
2010-02-11
|
[
[
"Candu",
"Constantin",
""
],
[
"Mitev",
"Vladimir",
""
],
[
"Quella",
"Thomas",
""
],
[
"Saleur",
"Hubert",
""
],
[
"Schomerus",
"Volker",
""
]
] |
The sigma model on complex projective superspaces CP^{S-1|S} gives rise to a continuous family of interacting 2D conformal field theories which are parametrized by the curvature radius R and the theta angle \theta. Our main goal is to determine the spectrum of the model, non-perturbatively as a function of both parameters. We succeed to do so for all open boundary conditions preserving the full global symmetry of the model. In string theory parlor, these correspond to volume filling branes that are equipped with a monopole line bundle and connection. The paper consists of two parts. In the first part, we approach the problem within the continuum formulation. Combining combinatorial arguments with perturbative studies and some simple free field calculations, we determine a closed formula for the partition function of the theory. This is then tested numerically in the second part. There we propose a spin chain regularization of the CP^{S-1|S} model with open boundary conditions and use it to determine the spectrum at the conformal fixed point. The numerical results are in remarkable agreement with the continuum analysis.
| 8.138623
| 8.778718
| 10.126659
| 8.614578
| 9.283064
| 9.376503
| 9.039656
| 9.083424
| 8.80004
| 9.783186
| 8.470625
| 7.744349
| 9.080029
| 8.423423
| 8.239606
| 8.127069
| 8.150372
| 8.134146
| 8.178614
| 9.102096
| 8.161517
|
hep-th/9706086
|
Robert Weston
|
Tetsuji Miwa and Robert Weston
|
The Monodromy Matrices of the XXZ Model in the Infinite Volume Limit
|
19 pages
|
J.Phys.A30:7509-7523,1997
|
10.1088/0305-4470/30/21/022
|
RIMS-1145, DTP-97-17
|
hep-th math.QA q-alg
| null |
We consider the XXZ model in the infinite volume limit with spin half quantum
space and higher spin auxiliary space. Using perturbation theory arguments, we
relate the half infinite transfer matrices of this class of models to certain
$U_q(\hat{sl_2})$ intertwiners introduced by Nakayashiki. We construct the
monodromy matrices, and show that the one with spin one auxiliary space gives
rise to the L operator.
|
[
{
"created": "Thu, 12 Jun 1997 09:58:55 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Miwa",
"Tetsuji",
""
],
[
"Weston",
"Robert",
""
]
] |
We consider the XXZ model in the infinite volume limit with spin half quantum space and higher spin auxiliary space. Using perturbation theory arguments, we relate the half infinite transfer matrices of this class of models to certain $U_q(\hat{sl_2})$ intertwiners introduced by Nakayashiki. We construct the monodromy matrices, and show that the one with spin one auxiliary space gives rise to the L operator.
| 11.208121
| 9.834337
| 15.960221
| 11.783468
| 11.655177
| 11.333004
| 11.998996
| 11.132051
| 10.32004
| 17.63991
| 10.656534
| 11.294614
| 12.90956
| 10.197472
| 11.147958
| 10.991472
| 11.21884
| 10.023556
| 10.428904
| 12.120547
| 10.069409
|
2208.03457
|
Alexander Molochkov
|
Alexander Molochkov
|
Nonperturbative Casimir effects: Vacuum structure, Confinement, and
Chiral Symmetry Breaking
|
12 pages, 8 figures; to appear in the Proceedings of Nobel Symposium
167: "Chiral Matter", Stockholm, June 2021
| null | null | null |
hep-th cond-mat.mes-hall hep-lat nucl-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The review of vacuum and matter restructuring in space-time with boundaries
is presented. We consider phase properties of confining gauge theories and
strongly interacting fermion systems. In particular, the chiral and
deconfinement phase transitions properties in the presence of Casimir plates.
We also discuss mass scale shifts in such systems and their possible dynamical
and geometrical nature.
|
[
{
"created": "Sat, 6 Aug 2022 07:39:36 GMT",
"version": "v1"
}
] |
2022-08-09
|
[
[
"Molochkov",
"Alexander",
""
]
] |
The review of vacuum and matter restructuring in space-time with boundaries is presented. We consider phase properties of confining gauge theories and strongly interacting fermion systems. In particular, the chiral and deconfinement phase transitions properties in the presence of Casimir plates. We also discuss mass scale shifts in such systems and their possible dynamical and geometrical nature.
| 25.401768
| 19.154366
| 20.032404
| 17.767359
| 18.299015
| 16.779701
| 19.808712
| 19.49847
| 17.565634
| 19.206873
| 17.884911
| 17.524031
| 18.570066
| 17.437582
| 18.435173
| 16.801739
| 16.632624
| 18.392584
| 16.62525
| 18.035583
| 17.647192
|
2404.07254
|
Lucas De Souza
|
Pedro Bittar, Sylvain Fichet, Lucas de Souza
|
Gravity-Induced Photon Interactions and Infrared Consistency in any
Dimensions
|
44 pages, 6 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We compute the four-photon ($F^4$) operators generated by loops of charged
particles of spin $0$, $\frac{1}{2}$, $1$ in the presence of gravity and in any
spacetime dimension $d$. To this end, we expand the one-loop effective action
via the heat kernel coefficients, which provide both the gravity-induced
renormalization of the $F^4$ operators and the low-energy Einstein-Maxwell
effective field theory (EFT) produced by massive charged particles. Reduction
of the operator basis is achieved using that the Gauss-Bonnet combination
vanishes at quadratic order in any dimension. A standard infrared consistency
argument applies to four-photon scattering in any dimension $d\geq 3$, setting
a positivity bound on the $F^4$ operators. We assume that the graviton
$t$-channel pole may be discarded. Surprisingly, the $d=6$ gravity-induced beta
functions of $F^4$ operators from charged particles of any spin are positive.
This implies that the EFT of massless charged particles is
infrared-inconsistent in $d=6$. For massive charged particles in $d$
dimensions, infrared consistency implies a variety of bounds on the
charge-to-mass ratio, under the condition that the Planckian $F^4$ operators
are sufficiently small or negative. These bounds imply a version of the
$d$-dimensional Weak Gravity Conjecture (WGC) in most but not all dimensions.
In the special case of $d=6$, the WGC-like bounds are logarithmically enhanced.
|
[
{
"created": "Wed, 10 Apr 2024 18:00:00 GMT",
"version": "v1"
}
] |
2024-04-12
|
[
[
"Bittar",
"Pedro",
""
],
[
"Fichet",
"Sylvain",
""
],
[
"de Souza",
"Lucas",
""
]
] |
We compute the four-photon ($F^4$) operators generated by loops of charged particles of spin $0$, $\frac{1}{2}$, $1$ in the presence of gravity and in any spacetime dimension $d$. To this end, we expand the one-loop effective action via the heat kernel coefficients, which provide both the gravity-induced renormalization of the $F^4$ operators and the low-energy Einstein-Maxwell effective field theory (EFT) produced by massive charged particles. Reduction of the operator basis is achieved using that the Gauss-Bonnet combination vanishes at quadratic order in any dimension. A standard infrared consistency argument applies to four-photon scattering in any dimension $d\geq 3$, setting a positivity bound on the $F^4$ operators. We assume that the graviton $t$-channel pole may be discarded. Surprisingly, the $d=6$ gravity-induced beta functions of $F^4$ operators from charged particles of any spin are positive. This implies that the EFT of massless charged particles is infrared-inconsistent in $d=6$. For massive charged particles in $d$ dimensions, infrared consistency implies a variety of bounds on the charge-to-mass ratio, under the condition that the Planckian $F^4$ operators are sufficiently small or negative. These bounds imply a version of the $d$-dimensional Weak Gravity Conjecture (WGC) in most but not all dimensions. In the special case of $d=6$, the WGC-like bounds are logarithmically enhanced.
| 8.147367
| 8.224929
| 8.824833
| 7.840618
| 8.424643
| 8.857615
| 8.458996
| 8.024354
| 7.927937
| 8.994342
| 7.831523
| 7.848203
| 8.304224
| 7.944408
| 8.288858
| 8.09989
| 8.068135
| 7.78732
| 7.88555
| 8.265817
| 7.919466
|
0903.5118
|
Masato Ito
|
Masato Ito
|
Anisotropic Evolution Driven by Kinetic Term
|
8 pages, added references
| null | null |
AUE-09-01
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a simple model where anisotropic evolution is driven by kinetic
term in extra dimensions. By introducing a canonical or a ghost kinetic term,
the possibility of anisotropy is studied.
|
[
{
"created": "Mon, 30 Mar 2009 03:39:00 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Apr 2009 02:17:08 GMT",
"version": "v2"
}
] |
2009-04-26
|
[
[
"Ito",
"Masato",
""
]
] |
We present a simple model where anisotropic evolution is driven by kinetic term in extra dimensions. By introducing a canonical or a ghost kinetic term, the possibility of anisotropy is studied.
| 19.673326
| 18.235645
| 17.869097
| 17.687178
| 19.654381
| 16.909266
| 19.121412
| 17.688148
| 16.295845
| 21.422462
| 16.143433
| 15.512314
| 17.296244
| 16.515505
| 15.711998
| 15.938489
| 16.707228
| 17.808266
| 16.711483
| 18.074512
| 15.774301
|
2105.12130
|
Andrea Dei
|
Andrea Dei and Lorenz Eberhardt
|
String correlators on $\text{AdS}_3$: Three-point functions
|
33 + 14 pages
| null |
10.1007/JHEP08(2021)025
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We revisit the computation of string worldsheet correlators on Euclidean
$\text{AdS}_3$ with pure NS-NS background. We compute correlation functions
with insertions of spectrally flowed operators. We explicitly solve all the
known constraints of the model and for the first time conjecture a closed
formula for three-point functions with arbitrary amount of spectral flow. We
explain the relation of our results with previous computations in the
literature and derive the fusion rules of the model. This paper is the first in
a series with several installments.
|
[
{
"created": "Tue, 25 May 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2021 17:57:57 GMT",
"version": "v2"
}
] |
2021-09-01
|
[
[
"Dei",
"Andrea",
""
],
[
"Eberhardt",
"Lorenz",
""
]
] |
We revisit the computation of string worldsheet correlators on Euclidean $\text{AdS}_3$ with pure NS-NS background. We compute correlation functions with insertions of spectrally flowed operators. We explicitly solve all the known constraints of the model and for the first time conjecture a closed formula for three-point functions with arbitrary amount of spectral flow. We explain the relation of our results with previous computations in the literature and derive the fusion rules of the model. This paper is the first in a series with several installments.
| 9.551734
| 7.508487
| 10.703136
| 7.717053
| 7.72351
| 8.003352
| 7.695422
| 7.540031
| 7.344604
| 12.696714
| 7.718815
| 8.312796
| 9.514166
| 8.554604
| 9.033069
| 8.584908
| 8.698671
| 8.611051
| 8.78722
| 10.025562
| 8.78374
|
hep-th/0105099
|
Robert Marnelius
|
Simon Lyakhovich, Robert Marnelius
|
Extended observables in theories with constraints
|
26 pages, Latexfile,Minor misprints on page 4 are corrected
|
Int.J.Mod.Phys. A16 (2001) 4271-4296
|
10.1142/S0217751X01005316
| null |
hep-th
| null |
In a classical Hamiltonian theory with second class constraints the phase
space functions on the constraint surface are observables. We give general
formulas for extended observables, which are expressions representing the
observables in the enveloping unconstrained phase space. These expressions
satisfy in the unconstrained phase space a Poisson algebra of the same form as
the Dirac bracket algebra of the observables on the constraint surface. The
general formulas involve new differential operators that differentiate the
Dirac bracket. Similar extended observables are also constructed for theories
with first class constraints which, however, are gauge dependent. For such
theories one may also construct gauge invariant extensions with similar
properties. Whenever extended observables exist the theory is expected to allow
for a covariant quantization. A mapping procedure is proposed for covariant
quantization of theories with second class constraints.
|
[
{
"created": "Fri, 11 May 2001 10:03:21 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2001 12:03:34 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Lyakhovich",
"Simon",
""
],
[
"Marnelius",
"Robert",
""
]
] |
In a classical Hamiltonian theory with second class constraints the phase space functions on the constraint surface are observables. We give general formulas for extended observables, which are expressions representing the observables in the enveloping unconstrained phase space. These expressions satisfy in the unconstrained phase space a Poisson algebra of the same form as the Dirac bracket algebra of the observables on the constraint surface. The general formulas involve new differential operators that differentiate the Dirac bracket. Similar extended observables are also constructed for theories with first class constraints which, however, are gauge dependent. For such theories one may also construct gauge invariant extensions with similar properties. Whenever extended observables exist the theory is expected to allow for a covariant quantization. A mapping procedure is proposed for covariant quantization of theories with second class constraints.
| 9.054324
| 9.500417
| 8.984957
| 9.156166
| 8.881743
| 9.065575
| 9.431596
| 8.95194
| 9.13222
| 9.893292
| 8.912593
| 8.507354
| 8.893871
| 8.531523
| 8.427306
| 8.56067
| 8.41006
| 8.565622
| 8.700119
| 9.032976
| 8.301777
|
1409.5983
|
Thijs van den Broek
|
Wim Beenakker, Walter D. van Suijlekom, Thijs van den Broek
|
Supersymmetry and noncommutative geometry Part II: Supersymmetry
breaking
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe how a soft supersymmetry breaking Lagrangian arises naturally in
the context of almost-commutative geometries that fall within the
classification of those having a supersymmetric particle content as well as a
supersymmetric spectral action. All contributions to such a Lagrangian are seen
to either be generated automatically after introducing gaugino masses to the
theory or coming from the second Seeley-DeWitt coefficient that is already part
of the spectral action. In noncommutative geometry, a supersymmetric particle
content and the appearance of a soft breaking Lagrangian thus appear to be
intimately connected to each other.
|
[
{
"created": "Sun, 21 Sep 2014 13:54:39 GMT",
"version": "v1"
}
] |
2014-09-23
|
[
[
"Beenakker",
"Wim",
""
],
[
"van Suijlekom",
"Walter D.",
""
],
[
"Broek",
"Thijs van den",
""
]
] |
We describe how a soft supersymmetry breaking Lagrangian arises naturally in the context of almost-commutative geometries that fall within the classification of those having a supersymmetric particle content as well as a supersymmetric spectral action. All contributions to such a Lagrangian are seen to either be generated automatically after introducing gaugino masses to the theory or coming from the second Seeley-DeWitt coefficient that is already part of the spectral action. In noncommutative geometry, a supersymmetric particle content and the appearance of a soft breaking Lagrangian thus appear to be intimately connected to each other.
| 10.98475
| 11.26695
| 10.845543
| 9.910042
| 11.378217
| 10.46241
| 9.598352
| 10.709105
| 10.340458
| 11.964662
| 9.930493
| 9.70035
| 10.338621
| 9.966159
| 10.173629
| 9.708471
| 9.615544
| 9.818536
| 9.968647
| 10.767413
| 9.611185
|
0707.2304
|
Gorsky Alexander
|
A. Gorsky and V. Mikhailov
|
Nonabelian strings in a dense matter
|
14 pages
|
Phys.Rev.D76:105008,2007
|
10.1103/PhysRevD.76.105008
| null |
hep-th hep-ph
| null |
We consider gauge theories with scalar matter with and without supersymmetry
at nonzero chemical potential. It is argued that a chemical potential plays a
role similar to the FI term. We analyze theory at weak coupling regime at large
chemical potential and argue that it supports nonabelian non-BPS strings.
Worldsheet theory on the nonabelian string in a dense matter is briefly
discussed.
|
[
{
"created": "Mon, 16 Jul 2007 11:38:43 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gorsky",
"A.",
""
],
[
"Mikhailov",
"V.",
""
]
] |
We consider gauge theories with scalar matter with and without supersymmetry at nonzero chemical potential. It is argued that a chemical potential plays a role similar to the FI term. We analyze theory at weak coupling regime at large chemical potential and argue that it supports nonabelian non-BPS strings. Worldsheet theory on the nonabelian string in a dense matter is briefly discussed.
| 15.145141
| 11.629745
| 15.170513
| 12.50088
| 13.950492
| 13.094234
| 13.945304
| 11.852849
| 12.566535
| 13.321964
| 12.694104
| 13.117641
| 14.036358
| 13.077068
| 13.306899
| 12.959516
| 12.96141
| 13.184837
| 13.059355
| 13.725744
| 12.900161
|
hep-th/0703021
|
Asato Tsuchiya
|
Takaaki Ishii, Goro Ishiki, Shinji Shimasaki, Asato Tsuchiya
|
T-duality, Fiber Bundles and Matrices
|
24 pages, typos corrected
|
JHEP 0705:014,2007
|
10.1088/1126-6708/2007/05/014
|
OU-HET 575
|
hep-th
| null |
We extend the T-duality for gauge theory to that on curved space described as
a nontrivial fiber bundle. We also present a new viewpoint concerning the
consistent truncation and the T-duality for gauge theory and discuss the
relation between the vacua on the total space and on the base space. As
examples, we consider S^3(/Z_k), S^5(/Z_k) and the Heisenberg nilmanifold.
|
[
{
"created": "Fri, 2 Mar 2007 13:39:44 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Oct 2007 03:57:03 GMT",
"version": "v2"
}
] |
2010-10-27
|
[
[
"Ishii",
"Takaaki",
""
],
[
"Ishiki",
"Goro",
""
],
[
"Shimasaki",
"Shinji",
""
],
[
"Tsuchiya",
"Asato",
""
]
] |
We extend the T-duality for gauge theory to that on curved space described as a nontrivial fiber bundle. We also present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory and discuss the relation between the vacua on the total space and on the base space. As examples, we consider S^3(/Z_k), S^5(/Z_k) and the Heisenberg nilmanifold.
| 11.213216
| 9.156659
| 12.104413
| 9.507053
| 10.95032
| 9.199696
| 9.662064
| 9.509638
| 9.697205
| 13.778188
| 10.218779
| 10.193659
| 11.42311
| 9.760154
| 9.932713
| 9.898442
| 9.849636
| 9.833069
| 9.802969
| 10.77625
| 9.644307
|
2405.10784
|
Aryaman Mishra
|
Aryaman Mishra
|
Dynamics of Heavy Operators in $AdS/CFT$
|
39 pages, 6 figures, Thesis to partially fulfill the honors
requirement in Bachelor's of Physics and Bachelor's of Mathematics at Stony
Brook University
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The correlation function in Ads/CFT are correlation of the operator
insertions on the boundary (at CFT) through the complete geometry of bulk.
These are represented by Witten diagrams which at tree level doesn't have any
quantum corrections. Generally, correlation functions are of low scaling (or
conformal) dimension, $\Delta$, which is related to the mass of insertion of
the scalar operator by, $\Delta(\Delta - 1) = m^2 L_{AdS}^2$. At low scaling
dimensions the operator insertion on the CFT boundary does not back-react the
metric of the geometry. On the other hand, at large scaling dimensions which
scale with central charge the operator is considered heavy. This leads to an
interesting question of what in the dual bulk (AdS) geometry of such heavy
operators. At the heavy limit $\Delta = m L_{AdS}$, which means that the mass
of the operator insertion is large too. The two-point function of
heavy-operator is assumed to be Black hole in $(d+1)$-dimensions and the
two-point form of CFT is recovered by calculating the action. In $3$-dimension
we have more control over the geometry because of existence of exact metric
called Ba\~nados metric with boundary stress-tensor insertion along with a map
which maps it to Euclidean Poincare upper half plane. These methods are used to
find the geometry for three-point function. The geometry is not simply of a
black-hole but a wormhole solution for whose action is calculated which
recovers the "square" of the classical DOZZ formula. We review the recent work
of arXiv:2306.15105 and arXiv:2307.13188 in this thesis to form an
understanding of heavy operators in the context of AdS/CFT.
|
[
{
"created": "Fri, 17 May 2024 13:48:09 GMT",
"version": "v1"
}
] |
2024-05-20
|
[
[
"Mishra",
"Aryaman",
""
]
] |
The correlation function in Ads/CFT are correlation of the operator insertions on the boundary (at CFT) through the complete geometry of bulk. These are represented by Witten diagrams which at tree level doesn't have any quantum corrections. Generally, correlation functions are of low scaling (or conformal) dimension, $\Delta$, which is related to the mass of insertion of the scalar operator by, $\Delta(\Delta - 1) = m^2 L_{AdS}^2$. At low scaling dimensions the operator insertion on the CFT boundary does not back-react the metric of the geometry. On the other hand, at large scaling dimensions which scale with central charge the operator is considered heavy. This leads to an interesting question of what in the dual bulk (AdS) geometry of such heavy operators. At the heavy limit $\Delta = m L_{AdS}$, which means that the mass of the operator insertion is large too. The two-point function of heavy-operator is assumed to be Black hole in $(d+1)$-dimensions and the two-point form of CFT is recovered by calculating the action. In $3$-dimension we have more control over the geometry because of existence of exact metric called Ba\~nados metric with boundary stress-tensor insertion along with a map which maps it to Euclidean Poincare upper half plane. These methods are used to find the geometry for three-point function. The geometry is not simply of a black-hole but a wormhole solution for whose action is calculated which recovers the "square" of the classical DOZZ formula. We review the recent work of arXiv:2306.15105 and arXiv:2307.13188 in this thesis to form an understanding of heavy operators in the context of AdS/CFT.
| 14.130558
| 16.398298
| 16.794167
| 13.714037
| 14.591643
| 14.800696
| 14.153082
| 14.277117
| 14.541248
| 17.02599
| 13.802491
| 13.889946
| 14.841661
| 14.143794
| 14.027472
| 13.933416
| 13.963099
| 13.887473
| 13.850261
| 14.636549
| 13.739008
|
hep-th/0101062
|
Valery N. Marachevsky
|
Valery N.Marachevsky
|
Casimir energy and realistic model of dilute dielectric ball
|
12 pages, 1 figure, latex 2e, journal version
|
Mod.Phys.Lett. A16 (2001) 1007-1016
|
10.1142/S0217732301004078
| null |
hep-th
| null |
The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at
zero temperature is derived analytically for the first time for an arbitrary
physically possible frequency dispersion of dielectric permittivity
$\epsilon(i\omega)$. A microscopic model of dielectrics is considered,
divergences are absent in calculations because an average interatomic distance
$\lambda$ is a {\it physical} cut-off in the theory. This fact has been
overlooked before, which led to divergences in various macroscopic approaches
to the Casimir energy of connected dielectrics.
|
[
{
"created": "Wed, 10 Jan 2001 21:38:16 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jun 2001 07:06:39 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Marachevsky",
"Valery N.",
""
]
] |
The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at zero temperature is derived analytically for the first time for an arbitrary physically possible frequency dispersion of dielectric permittivity $\epsilon(i\omega)$. A microscopic model of dielectrics is considered, divergences are absent in calculations because an average interatomic distance $\lambda$ is a {\it physical} cut-off in the theory. This fact has been overlooked before, which led to divergences in various macroscopic approaches to the Casimir energy of connected dielectrics.
| 12.049475
| 12.765647
| 13.104875
| 10.756156
| 13.254233
| 13.893593
| 13.245236
| 11.517542
| 11.77965
| 15.229748
| 11.164206
| 11.968376
| 11.894887
| 11.327177
| 11.351018
| 11.632103
| 11.79042
| 11.109869
| 11.252455
| 12.177256
| 11.460711
|
1301.1556
|
Davide Campagnari
|
Davide Campagnari and Hugo Reinhardt
|
Hamiltonian Dyson--Schwinger Equations of QCD
|
7 pages, 3 eps figures. Talk given by D. Campagnari at Xth Quark
Confinement and the Hadron Spectrum, October 8--12, 2012 TUM Campus Garching,
Munich, Germany
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The general method for treating non-Gaussian wave functionals in the
Hamiltonian formulation of a quantum field theory, which was previously
developed and applied to Yang--Mills theory in Coulomb gauge, is generalized to
full QCD. The Hamiltonian Dyson-Schwinger equations as well as the quark and
gluon gap equations are derived and analysed in the IR and UV momentum regime.
The back-reaction of the quarks on the gluon sector is investigated.
|
[
{
"created": "Tue, 8 Jan 2013 14:58:59 GMT",
"version": "v1"
}
] |
2013-01-09
|
[
[
"Campagnari",
"Davide",
""
],
[
"Reinhardt",
"Hugo",
""
]
] |
The general method for treating non-Gaussian wave functionals in the Hamiltonian formulation of a quantum field theory, which was previously developed and applied to Yang--Mills theory in Coulomb gauge, is generalized to full QCD. The Hamiltonian Dyson-Schwinger equations as well as the quark and gluon gap equations are derived and analysed in the IR and UV momentum regime. The back-reaction of the quarks on the gluon sector is investigated.
| 8.073367
| 6.882133
| 6.688763
| 6.284224
| 7.168064
| 6.928802
| 6.412393
| 6.908154
| 6.312925
| 7.536469
| 6.454454
| 7.218805
| 7.049677
| 6.885084
| 6.891134
| 6.835285
| 7.059904
| 7.074965
| 6.807716
| 7.109209
| 6.874266
|
0912.5105
|
Radu Roiban
|
S. Giombi, R. Ricci, R. Roiban, A.A. Tseytlin, C. Vergu
|
Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
|
21pages, Latex
|
JHEP 1003:003,2010
|
10.1007/JHEP03(2010)003
|
Imperial-TP-RR-02-2009, Brown-HET-1597
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the AdS_5 x S^5 superstring in the light-cone gauge adapted to a
massless geodesic in AdS5 in the Poincare patch. The resulting action has a
relatively simple structure which makes it a natural starting point for various
perturbative quantum computations. We illustrate the utility of this AdS
light-cone gauge action by computing the 1-loop and 2-loop corrections to the
null cusp anomalous dimension reproducing in a much simpler and efficient way
earlier results obtained in conformal gauge. This leads to a further insight
into the structure of the superstring partition function in non-trivial
background.
|
[
{
"created": "Sun, 27 Dec 2009 20:41:03 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Giombi",
"S.",
""
],
[
"Ricci",
"R.",
""
],
[
"Roiban",
"R.",
""
],
[
"Tseytlin",
"A. A.",
""
],
[
"Vergu",
"C.",
""
]
] |
We consider the AdS_5 x S^5 superstring in the light-cone gauge adapted to a massless geodesic in AdS5 in the Poincare patch. The resulting action has a relatively simple structure which makes it a natural starting point for various perturbative quantum computations. We illustrate the utility of this AdS light-cone gauge action by computing the 1-loop and 2-loop corrections to the null cusp anomalous dimension reproducing in a much simpler and efficient way earlier results obtained in conformal gauge. This leads to a further insight into the structure of the superstring partition function in non-trivial background.
| 6.937595
| 6.765402
| 7.55231
| 6.729159
| 7.71367
| 7.144339
| 7.253749
| 6.948328
| 7.001269
| 7.852793
| 6.833121
| 6.932198
| 7.201156
| 6.737813
| 6.896076
| 6.828081
| 6.959981
| 6.921865
| 6.92754
| 7.149797
| 6.739905
|
1310.5128
|
Gautam Sengupta
|
Pankaj Chaturvedi and Gautam Sengupta
|
Rotating BTZ Black Holes and One Dimensional Holographic Superconductors
|
Title and abstract changed, submission revised extensively, all
figures and the claims modified, references modified. 23 Pages Latex, 16
figures numbered 1 to 5
|
Phys. Rev. D 90, 046002 (2014)
|
10.1103/PhysRevD.90.046002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider charged rotating BTZ black holes in 2+1 dimensions and obtain 1+1
dimensional holographic superconductors on a spatial circle in the context of
the $AdS_3/CFT_2$ correspondence. The charged condensate for the boundary
superconductor is computed both in the analytic and the numerical framework in
a probe limit and a low angular momentum approximation. A critical value of the
angular momentum for the onset of superconductivity is established. We also
numerically compute the electrical conductivity of the 1+1 dimensional boundary
theory on a circle. The conductivity exhibits a dependence on angular momentum
of the rotating black hole both for the normal and the superconducting phase of
the boundary field theory. The significance of the boundary field theory in the
context of a Fermi-Luttinger liquid on a circle is discussed.
|
[
{
"created": "Fri, 18 Oct 2013 18:57:45 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Dec 2013 14:02:33 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Feb 2014 16:33:50 GMT",
"version": "v3"
},
{
"created": "Mon, 30 Jun 2014 15:36:06 GMT",
"version": "v4"
}
] |
2014-08-13
|
[
[
"Chaturvedi",
"Pankaj",
""
],
[
"Sengupta",
"Gautam",
""
]
] |
We consider charged rotating BTZ black holes in 2+1 dimensions and obtain 1+1 dimensional holographic superconductors on a spatial circle in the context of the $AdS_3/CFT_2$ correspondence. The charged condensate for the boundary superconductor is computed both in the analytic and the numerical framework in a probe limit and a low angular momentum approximation. A critical value of the angular momentum for the onset of superconductivity is established. We also numerically compute the electrical conductivity of the 1+1 dimensional boundary theory on a circle. The conductivity exhibits a dependence on angular momentum of the rotating black hole both for the normal and the superconducting phase of the boundary field theory. The significance of the boundary field theory in the context of a Fermi-Luttinger liquid on a circle is discussed.
| 6.707678
| 6.100153
| 6.56286
| 5.783912
| 6.086255
| 6.555841
| 6.155259
| 5.764221
| 5.734403
| 6.950293
| 6.043966
| 5.880668
| 6.718903
| 6.083327
| 6.147693
| 6.131922
| 5.94338
| 5.982993
| 6.126356
| 6.365016
| 6.193804
|
hep-th/9512055
|
Luigi Cappiello
|
M. Abud, J.-P. Ader and L. Cappiello
|
Consistent anomalies of the induced W gravities
|
Latex, no figures, 12 pages (To appear on Physics Letters B.)
|
Phys.Lett. B369 (1996) 108-116
|
10.1016/0370-2693(95)01520-5
|
DSF-T-95/12, INFN NA-IV-95/12, CPTMB/PT/95-2/
|
hep-th
| null |
The BRST anomaly which may be present in the induced $W_n$ gravity quantized
on the light-cone is evaluated in the geometrical framework of Zucchini. The
cocycles linked by the cohomology of the BRST operator to the anomaly are
straightforwardly calculated thanks to the analogy between this formulation and
the Yang-Mills theory. We give also a conformally covariant formulation of
these quantities including the anomaly, which is valid on arbitrary Riemann
surfaces. The example of the $W_3$ theory is discussed and a comparison with
other candidates for the anomaly available in the literature is presented.
|
[
{
"created": "Sat, 9 Dec 1995 10:08:35 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Abud",
"M.",
""
],
[
"Ader",
"J. -P.",
""
],
[
"Cappiello",
"L.",
""
]
] |
The BRST anomaly which may be present in the induced $W_n$ gravity quantized on the light-cone is evaluated in the geometrical framework of Zucchini. The cocycles linked by the cohomology of the BRST operator to the anomaly are straightforwardly calculated thanks to the analogy between this formulation and the Yang-Mills theory. We give also a conformally covariant formulation of these quantities including the anomaly, which is valid on arbitrary Riemann surfaces. The example of the $W_3$ theory is discussed and a comparison with other candidates for the anomaly available in the literature is presented.
| 13.93725
| 11.706735
| 13.237398
| 11.493255
| 11.769662
| 11.564322
| 11.801379
| 11.269074
| 11.686626
| 14.059856
| 12.098692
| 12.130466
| 13.485759
| 11.942404
| 11.689309
| 11.716738
| 11.768918
| 12.060393
| 12.271643
| 13.448754
| 11.410077
|
hep-th/0007077
|
Gerard Watts
|
P. Dorey, M. Pillin, R. Tateo and G.M.T. Watts
|
One-point functions in perturbed boundary conformal field theories
|
Latex, 34 pages, 16 figures
|
Nucl.Phys. B594 (2001) 625-659
|
10.1016/S0550-3213(00)00622-2
|
T00/070, KCL-MTH-00-29, ITFA 00-11, DTP/00/51
|
hep-th cond-mat nlin.SI
| null |
We consider the one-point functions of bulk and boundary fields in the
scaling Lee-Yang model for various combinations of bulk and boundary
perturbations. The one-point functions of the bulk fields are analysed using
the truncated conformal space approach and the form-factor expansion. Good
agreement is found between the results of the two methods, though we find that
the expression for the general boundary state given by Ghoshal and
Zamolodchikov has to be corrected slightly. For the boundary fields we use
thermodynamic Bethe ansatz equations to find exact expressions for the strip
and semi-infinite cylinder geometries. We also find a novel off-critical
identity between the cylinder partition functions of models with differing
boundary conditions, and use this to investigate the regions of
boundary-induced instability exhibited by the model on a finite strip.
|
[
{
"created": "Mon, 10 Jul 2000 17:18:21 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Dorey",
"P.",
""
],
[
"Pillin",
"M.",
""
],
[
"Tateo",
"R.",
""
],
[
"Watts",
"G. M. T.",
""
]
] |
We consider the one-point functions of bulk and boundary fields in the scaling Lee-Yang model for various combinations of bulk and boundary perturbations. The one-point functions of the bulk fields are analysed using the truncated conformal space approach and the form-factor expansion. Good agreement is found between the results of the two methods, though we find that the expression for the general boundary state given by Ghoshal and Zamolodchikov has to be corrected slightly. For the boundary fields we use thermodynamic Bethe ansatz equations to find exact expressions for the strip and semi-infinite cylinder geometries. We also find a novel off-critical identity between the cylinder partition functions of models with differing boundary conditions, and use this to investigate the regions of boundary-induced instability exhibited by the model on a finite strip.
| 8.245089
| 7.959342
| 11.014784
| 8.019567
| 8.43668
| 8.212903
| 8.252528
| 8.009541
| 7.743042
| 11.453673
| 7.851888
| 8.333323
| 8.889906
| 7.995845
| 8.334552
| 8.462502
| 8.5943
| 7.87914
| 7.93851
| 9.064001
| 8.083987
|
hep-th/9803104
|
Gabor Takacs
|
G. Feverati, F. Ravanini, G. Takacs (INFN Bologna)
|
Truncated Conformal Space at c=1, Nonlinear Integral Equation and
Quantization Rules for Multi-Soliton States
|
12 pages, 5 eps figures, LaTeX2e. Reference added, changes in the
discussion of TCS method
|
Phys.Lett. B430 (1998) 264-273
|
10.1016/S0370-2693(98)00543-7
|
DFUB-98-04
|
hep-th
| null |
We develop Truncated Conformal Space (TCS) technique for perturbations of c=1
Conformal Field Theories. We use it to give the first numerical evidence of the
validity of the non-linear integral equation (NLIE) derived from light-cone
lattice regularization at intermediate scales. A controversy on the
quantization of Bethe states is solved by this numerical comparison and by
using the locality principle at the ultra- violet fixed point. It turns out
that the correct quantization for pure hole states is the one with half-integer
quantum numbers originally proposed by Mariottini et al. Once the correct rule
is imposed, the agreement between TCS and NLIE for pure hole states turns out
to be impressive.
|
[
{
"created": "Thu, 12 Mar 1998 16:06:58 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 1998 08:48:11 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Feverati",
"G.",
"",
"INFN Bologna"
],
[
"Ravanini",
"F.",
"",
"INFN Bologna"
],
[
"Takacs",
"G.",
"",
"INFN Bologna"
]
] |
We develop Truncated Conformal Space (TCS) technique for perturbations of c=1 Conformal Field Theories. We use it to give the first numerical evidence of the validity of the non-linear integral equation (NLIE) derived from light-cone lattice regularization at intermediate scales. A controversy on the quantization of Bethe states is solved by this numerical comparison and by using the locality principle at the ultra- violet fixed point. It turns out that the correct quantization for pure hole states is the one with half-integer quantum numbers originally proposed by Mariottini et al. Once the correct rule is imposed, the agreement between TCS and NLIE for pure hole states turns out to be impressive.
| 13.12466
| 12.359527
| 14.86158
| 12.679496
| 13.297279
| 13.65456
| 12.609344
| 13.113301
| 13.028188
| 15.421845
| 12.506362
| 12.894512
| 13.267702
| 12.419766
| 12.950116
| 12.483183
| 12.28199
| 12.893427
| 12.550196
| 12.985991
| 12.538167
|
hep-th/9211042
| null |
H. Nishino
|
Self--Dual Supergravity and Supersymmetric Yang--Mills Coupled to
Green--Schwarz Superstring
|
LATEX 29 pages
|
Int. J. Mod. Phys. A9 (1994) 3077-3101
|
10.1142/S0217751X94001217
|
Maryland preprint UMDEPP 93-79
|
hep-th
| null |
We present the {\it canonical} set of superspace constraints for self-dual
supergravity, a ``self-dual'' tensor multiplet and a self-dual Yang-Mills
multiplet with $~N=1~$ supersymmetry in the space-time with signature
$(+,+,-,-)$. For this set of constraints, the consistency of the self-duality
conditions on these multiplets with supersymmetry is manifest. The
energy-momentum tensors of all the self-dual ``matter'' multiplets vanish, to
be consistent with the self-duality of the Riemann tensor. In particular, the
special significance of the ``self-dual'' tensor multiplet is noted. This
result fills the gap left over in our previous series of papers, with respect
to the consistent couplings among the self-dual matter multiplets. We also
couple these non-trivial backgrounds to a Green-Schwarz superstring
$~\s\-$model, under the requirement of invariance under fermionic (kappa)
symmetry. The finiteness of the self-dual supergravity is discussed, based on
its ``off-shell'' structure. A set of exact solutions for the ``self-dual''
tensor and self-dual Yang-Mills multiplets for the gauge group $~SL(2)$~ on
self-dual gravitational instanton background is given, and its consistency with
the Green-Schwarz string ~$\s\-$model is demonstrated.
|
[
{
"created": "Tue, 10 Nov 1992 01:45:00 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Nov 1992 02:02:00 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Nishino",
"H.",
""
]
] |
We present the {\it canonical} set of superspace constraints for self-dual supergravity, a ``self-dual'' tensor multiplet and a self-dual Yang-Mills multiplet with $~N=1~$ supersymmetry in the space-time with signature $(+,+,-,-)$. For this set of constraints, the consistency of the self-duality conditions on these multiplets with supersymmetry is manifest. The energy-momentum tensors of all the self-dual ``matter'' multiplets vanish, to be consistent with the self-duality of the Riemann tensor. In particular, the special significance of the ``self-dual'' tensor multiplet is noted. This result fills the gap left over in our previous series of papers, with respect to the consistent couplings among the self-dual matter multiplets. We also couple these non-trivial backgrounds to a Green-Schwarz superstring $~\s\-$model, under the requirement of invariance under fermionic (kappa) symmetry. The finiteness of the self-dual supergravity is discussed, based on its ``off-shell'' structure. A set of exact solutions for the ``self-dual'' tensor and self-dual Yang-Mills multiplets for the gauge group $~SL(2)$~ on self-dual gravitational instanton background is given, and its consistency with the Green-Schwarz string ~$\s\-$model is demonstrated.
| 8.038409
| 7.546173
| 8.950358
| 7.755958
| 8.390718
| 7.862458
| 8.007134
| 7.901054
| 7.48378
| 9.223927
| 7.883178
| 7.853044
| 8.157813
| 7.741949
| 8.12463
| 7.677596
| 7.919311
| 7.946787
| 7.800779
| 8.482486
| 7.82583
|
1903.02452
|
Debabrata Ghorai
|
Debabrata Ghorai, Sunandan Gangopadhyay, Rabin Banerjee
|
Meissner effect in holographic superconductors with Dirac-Born-Infeld
electrodynamics
|
15 pages, accepted in Mod. Phys. Lett. A
|
Mod. Phys. Lett. A 35 No. 06 (2020) 2050020
|
10.1142/S0217732320500200
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we have investigated the Meissner effect of holographic
superconductors in the presence of Dirac-Born-Infeld electrodynamics. The
matching method is applied to obtain the critical magnetic field and the
critical temperature. The critical magnetic field obtained from this
investigation shows the effects of the DBI parameter $b$ and differs from that
obtained from Born electrodynamics because of the extra $\vec{E}.\vec{B}$ term
in the Dirac-Born-Infeld theory. It is observed that the critical magnetic
field increases in Dirac-Born-Infeld theory compared to that in the Born
theory.
|
[
{
"created": "Wed, 6 Mar 2019 15:40:37 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Nov 2019 06:42:19 GMT",
"version": "v2"
}
] |
2020-03-05
|
[
[
"Ghorai",
"Debabrata",
""
],
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Banerjee",
"Rabin",
""
]
] |
In this paper, we have investigated the Meissner effect of holographic superconductors in the presence of Dirac-Born-Infeld electrodynamics. The matching method is applied to obtain the critical magnetic field and the critical temperature. The critical magnetic field obtained from this investigation shows the effects of the DBI parameter $b$ and differs from that obtained from Born electrodynamics because of the extra $\vec{E}.\vec{B}$ term in the Dirac-Born-Infeld theory. It is observed that the critical magnetic field increases in Dirac-Born-Infeld theory compared to that in the Born theory.
| 5.861713
| 6.05961
| 5.873048
| 5.410094
| 5.725088
| 5.595333
| 5.958405
| 5.596783
| 5.558821
| 6.47755
| 5.624888
| 5.649652
| 5.498302
| 5.389842
| 5.555058
| 5.465243
| 5.545733
| 5.496326
| 5.723897
| 5.613701
| 5.425591
|
1605.07015
|
D.S. Kulshreshtha
|
Sanjeev Kumar, Usha Kulshreshtha and Daya Shankar Kulshreshtha
|
Boson Stars in a Theory of Complex Scalar Field coupled to Gravity
|
12 figures
|
Gen Relativ Gravit (2015) 47:76
|
10.1007/s10714-015-1918-0
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study boson stars in a theory of complex scalar field coupled to Einstein
gravity with the potential: $V(|\Phi|) := m^{2} |\Phi|^2 +2 \lambda |\Phi|$
(where $m^2$ and $\lambda$ are positive constant parameters). This could be
considered either as a theory of massive complex scalar field coupled to
gravity in a conical potential or as a theory in the presence of a potential
which is an overlap of a parabolic and a conical potential. We study our theory
with positive as well as negative values of the cosmological constant
$\Lambda$. Boson stars are found to come in two types, having either ball-like
or shell-like charge density. We have studied the properties of these solutions
and have also determined their domains of existence for some specific values of
the parameters of the theory. Similar solutions have also been obtained by
Hartmann, Kleihaus, Kunz, and Schaffer, in a V-shaped scalar potential.
|
[
{
"created": "Tue, 10 May 2016 10:35:24 GMT",
"version": "v1"
}
] |
2016-05-24
|
[
[
"Kumar",
"Sanjeev",
""
],
[
"Kulshreshtha",
"Usha",
""
],
[
"Kulshreshtha",
"Daya Shankar",
""
]
] |
We study boson stars in a theory of complex scalar field coupled to Einstein gravity with the potential: $V(|\Phi|) := m^{2} |\Phi|^2 +2 \lambda |\Phi|$ (where $m^2$ and $\lambda$ are positive constant parameters). This could be considered either as a theory of massive complex scalar field coupled to gravity in a conical potential or as a theory in the presence of a potential which is an overlap of a parabolic and a conical potential. We study our theory with positive as well as negative values of the cosmological constant $\Lambda$. Boson stars are found to come in two types, having either ball-like or shell-like charge density. We have studied the properties of these solutions and have also determined their domains of existence for some specific values of the parameters of the theory. Similar solutions have also been obtained by Hartmann, Kleihaus, Kunz, and Schaffer, in a V-shaped scalar potential.
| 7.771161
| 7.626863
| 8.180869
| 7.683799
| 7.946299
| 7.059533
| 7.342022
| 7.651826
| 7.290719
| 9.136433
| 7.566633
| 7.570152
| 7.601661
| 7.462529
| 7.332631
| 7.397932
| 7.452521
| 7.797911
| 7.535591
| 7.577568
| 7.556283
|
2402.00099
|
Thomas Steingasser
|
Thomas Steingasser, David I. Kaiser
|
Quantum tunneling from excited states: Recovering imaginary-time
instantons from a real-time analysis
|
17 pages, 16 figures
| null | null |
MIT-CTP/5672
|
hep-th hep-ph quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We revisit the path integral description of quantum tunneling and show how it
can be generalized to excited states. For clarity, we focus on the simple toy
model of a point particle in a double-well potential, for which we perform all
steps explicitly. Instead of performing the familiar Wick rotation from
physical to imaginary time - which is inconsistent with the requisite boundary
conditions when treating tunneling from excited states - we regularize the path
integral by adding an infinitesimal complex contribution to the Hamiltonian,
while keeping time strictly real. We find that this gives rise to a complex
stationary-phase solution, in agreement with recent insights from
Picard-Lefshitz theory. We then show that there exists a class of analytic
solutions for the corresponding equations of motion, which can be made to match
the appropriate boundary conditions in the physically relevant limits of a
vanishing regulator and an infinite physical time. We provide a detailed
discussion of this non-trivial limit. We find that, for systems without an
explicit time-dependence, our approach reproduces the picture of an
instanton-like solution defined on a finite Euclidean-time interval. Lastly, we
discuss the generalization of our approach to broader classes of systems, for
which it serves as a reliable framework for high-precision calculations.
|
[
{
"created": "Wed, 31 Jan 2024 19:00:00 GMT",
"version": "v1"
}
] |
2024-02-02
|
[
[
"Steingasser",
"Thomas",
""
],
[
"Kaiser",
"David I.",
""
]
] |
We revisit the path integral description of quantum tunneling and show how it can be generalized to excited states. For clarity, we focus on the simple toy model of a point particle in a double-well potential, for which we perform all steps explicitly. Instead of performing the familiar Wick rotation from physical to imaginary time - which is inconsistent with the requisite boundary conditions when treating tunneling from excited states - we regularize the path integral by adding an infinitesimal complex contribution to the Hamiltonian, while keeping time strictly real. We find that this gives rise to a complex stationary-phase solution, in agreement with recent insights from Picard-Lefshitz theory. We then show that there exists a class of analytic solutions for the corresponding equations of motion, which can be made to match the appropriate boundary conditions in the physically relevant limits of a vanishing regulator and an infinite physical time. We provide a detailed discussion of this non-trivial limit. We find that, for systems without an explicit time-dependence, our approach reproduces the picture of an instanton-like solution defined on a finite Euclidean-time interval. Lastly, we discuss the generalization of our approach to broader classes of systems, for which it serves as a reliable framework for high-precision calculations.
| 9.627306
| 9.585687
| 9.69877
| 8.579734
| 10.504744
| 9.874495
| 10.584325
| 9.185321
| 9.859841
| 9.716539
| 9.412149
| 9.903733
| 9.393551
| 9.516707
| 9.46577
| 9.669344
| 9.769893
| 9.62126
| 9.481906
| 9.591165
| 9.432878
|
1311.4487
|
Antonio Capolupo Dr
|
Antonio Capolupo, Giuseppe Vitiello
|
Spontaneous supersymmetry breaking probed by geometric invariants
|
5 pages
|
Advances in High Energy Physics, Volume 2013, Article ID 850395,
(2013)
|
10.1155/2013/850395
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The presence of the Aharonov-Anandan invariant in phenomena in which vacuum
condensates are physically relevant can help to reveal the spontaneous
supersymmetry breaking induced by condensates. The analysis is presented in the
case of the Wess--Zumino model. The manifestation of the Aharonov-Anandan
invariant of atoms and their superpartners, generated at non-zero temperature,
could reveal the signature of SUSY violation in a recently proposed
experimental setup based on an optical lattice in which SUSY is broken at
non-zero temperature.
|
[
{
"created": "Mon, 18 Nov 2013 18:43:06 GMT",
"version": "v1"
}
] |
2013-11-19
|
[
[
"Capolupo",
"Antonio",
""
],
[
"Vitiello",
"Giuseppe",
""
]
] |
The presence of the Aharonov-Anandan invariant in phenomena in which vacuum condensates are physically relevant can help to reveal the spontaneous supersymmetry breaking induced by condensates. The analysis is presented in the case of the Wess--Zumino model. The manifestation of the Aharonov-Anandan invariant of atoms and their superpartners, generated at non-zero temperature, could reveal the signature of SUSY violation in a recently proposed experimental setup based on an optical lattice in which SUSY is broken at non-zero temperature.
| 15.046762
| 13.736996
| 14.4042
| 14.501565
| 13.860193
| 15.344608
| 15.298089
| 14.455264
| 13.856324
| 17.436871
| 14.586684
| 15.135715
| 14.878041
| 13.995115
| 14.235681
| 14.472228
| 14.699848
| 14.49346
| 14.421388
| 15.159443
| 14.544099
|
2304.01550
|
Yuta Nagoya
|
Masataka Koide, Yuta Nagoya, Satoshi Yamaguchi
|
Non-invertible symmetries and boundaries in four dimensions
|
18 pages, 19 figures: v2: references and comments added
|
Phys. Rev. D 108, 065009(2023)
|
10.1103/PhysRevD.108.065009
|
OU-HET 1180
|
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study quantum field theories with boundary by utilizing non-invertible
symmetries. We consider three kinds of boundary conditions of the four
dimensional $\mathbb{Z}_2$ lattice gauge theory at the critical point as
examples. The weights of the elements on the boundary is determined so that
these boundary conditions are related by the Kramers-Wannier-Wegner (KWW)
duality. In other words, it is required that the KWW duality defects ending on
the boundary is topological. Moreover, we obtain the ratios of the hemisphere
partition functions with these boundary conditions; this result constrains the
boundary renormalization group flows under the assumption of the conjectured
g-theorem in four dimensions.
|
[
{
"created": "Tue, 4 Apr 2023 05:57:10 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Apr 2023 06:24:03 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Sep 2023 09:33:09 GMT",
"version": "v3"
}
] |
2023-09-26
|
[
[
"Koide",
"Masataka",
""
],
[
"Nagoya",
"Yuta",
""
],
[
"Yamaguchi",
"Satoshi",
""
]
] |
We study quantum field theories with boundary by utilizing non-invertible symmetries. We consider three kinds of boundary conditions of the four dimensional $\mathbb{Z}_2$ lattice gauge theory at the critical point as examples. The weights of the elements on the boundary is determined so that these boundary conditions are related by the Kramers-Wannier-Wegner (KWW) duality. In other words, it is required that the KWW duality defects ending on the boundary is topological. Moreover, we obtain the ratios of the hemisphere partition functions with these boundary conditions; this result constrains the boundary renormalization group flows under the assumption of the conjectured g-theorem in four dimensions.
| 9.405995
| 9.410728
| 12.370432
| 9.084642
| 9.822799
| 9.327761
| 8.456784
| 9.268062
| 9.3665
| 14.112863
| 9.553681
| 9.531017
| 10.547797
| 9.44375
| 9.866168
| 9.708467
| 9.960458
| 9.552852
| 9.596002
| 10.558073
| 9.796841
|
1701.07511
|
Tarek Anous
|
Tarek Anous and Cameron Cogburn
|
Mini-BFSS in Silico
|
26 pages, 2 figures, 1 table
|
Phys. Rev. D 100, 066023 (2019)
|
10.1103/PhysRevD.100.066023
|
MIT-CTP-4877
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a mass-deformed $\mathcal{N}=4$ version of the BFSS matrix model
with three matrices and gauge group $SU(2)$. This model has zero Witten index.
Despite this, we give numerical evidence for the existence of four
supersymmetric ground states, two bosonic and two fermionic, in the limit where
the mass deformation is tuned to zero.
|
[
{
"created": "Wed, 25 Jan 2017 22:35:47 GMT",
"version": "v1"
}
] |
2019-09-25
|
[
[
"Anous",
"Tarek",
""
],
[
"Cogburn",
"Cameron",
""
]
] |
We study a mass-deformed $\mathcal{N}=4$ version of the BFSS matrix model with three matrices and gauge group $SU(2)$. This model has zero Witten index. Despite this, we give numerical evidence for the existence of four supersymmetric ground states, two bosonic and two fermionic, in the limit where the mass deformation is tuned to zero.
| 6.737716
| 5.726792
| 6.539885
| 6.177962
| 5.879822
| 5.781763
| 6.014706
| 6.231513
| 6.306232
| 6.952856
| 6.222338
| 5.812312
| 6.518209
| 6.137678
| 5.990622
| 5.854947
| 5.840915
| 5.992342
| 6.243595
| 6.563922
| 5.867829
|
0906.0011
|
Dieter Van den Bleeken
|
Jan de Boer, Sheer El-Showk, Ilies Messamah and Dieter Van den Bleeken
|
A bound on the entropy of supergravity?
|
33 pages, 5 figures
|
JHEP 1002:062,2010
|
10.1007/JHEP02(2010)062
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine, in two independent ways, the number of BPS quantum states
arising from supergravity degrees of freedom in a system with fixed total D4D0
charge. First, we count states generated by quantizing the spacetime degrees of
freedom of 'entropyless' multicentered solutions consisting of anti-D0-branes
bound to a D6-anti-D6 pair. Second, we determine the number of free
supergravity excitations of the corresponding AdS_3 geometry with the same
total charge. We find that, although these two approaches yield a priori
different sets of states, the leading degeneracies in a large charge expansion
are equal to each other and that, furthermore, the number of such states is
parametrically smaller than that arising from the D4D0 black hole's entropy.
This strongly suggests that supergravity alone is not sufficient to capture all
degrees of freedom of large supersymmetric black holes. Comparing the free
supergravity calculation to that of the D6-anti-D6-D0 system we find that the
bound on the free spectrum imposed by the stringy exclusion principle (a
unitarity bound in the dual CFT) seems to be captured in the dynamics of the
fully interacting but classcial supergravity equations of motion.
|
[
{
"created": "Mon, 1 Jun 2009 19:20:52 GMT",
"version": "v1"
}
] |
2010-02-23
|
[
[
"de Boer",
"Jan",
""
],
[
"El-Showk",
"Sheer",
""
],
[
"Messamah",
"Ilies",
""
],
[
"Bleeken",
"Dieter Van den",
""
]
] |
We determine, in two independent ways, the number of BPS quantum states arising from supergravity degrees of freedom in a system with fixed total D4D0 charge. First, we count states generated by quantizing the spacetime degrees of freedom of 'entropyless' multicentered solutions consisting of anti-D0-branes bound to a D6-anti-D6 pair. Second, we determine the number of free supergravity excitations of the corresponding AdS_3 geometry with the same total charge. We find that, although these two approaches yield a priori different sets of states, the leading degeneracies in a large charge expansion are equal to each other and that, furthermore, the number of such states is parametrically smaller than that arising from the D4D0 black hole's entropy. This strongly suggests that supergravity alone is not sufficient to capture all degrees of freedom of large supersymmetric black holes. Comparing the free supergravity calculation to that of the D6-anti-D6-D0 system we find that the bound on the free spectrum imposed by the stringy exclusion principle (a unitarity bound in the dual CFT) seems to be captured in the dynamics of the fully interacting but classcial supergravity equations of motion.
| 9.362298
| 10.078299
| 11.214177
| 9.793554
| 9.910541
| 9.356666
| 10.048327
| 10.008704
| 9.711107
| 11.707388
| 9.562733
| 9.773984
| 9.975428
| 9.329329
| 9.457195
| 9.390355
| 9.421971
| 9.349209
| 9.396605
| 9.858118
| 9.306502
|
hep-th/9508142
|
Ivo Sachs
|
I.Sachs (DIAS) and A.Wipf (Jena)
|
Generalized Thirring Models
|
LaTex 55 pages, 2 figures, extended version of our previous work
(hep-th/9308067)
|
Annals Phys. 249 (1996) 380-429
|
10.1006/aphy.1996.0077
|
DIAS-STP-95-19, FSUJ TPI 4/95
|
hep-th
| null |
The Thirring model and various generalizations of it are analyzed in detail.
The four-Fermi interaction modifies the equation of state. Chemical potentials
and twisted boundary conditions both result in complex fermionic determinants
which are analyzed. The non-minimal coupling to gravity does deform the
conformal algebra which in particular contains the minimal models. We compute
the central charges, conformal weights and finite size effects. For the gauged
model we derive the partition functions and the explicit expression for the
chiral condensate at finite temperature and curvature. The Bosonization in
compact curved space-times is also investigated.
|
[
{
"created": "Fri, 25 Aug 1995 18:47:06 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Sachs",
"I.",
"",
"DIAS"
],
[
"Wipf",
"A.",
"",
"Jena"
]
] |
The Thirring model and various generalizations of it are analyzed in detail. The four-Fermi interaction modifies the equation of state. Chemical potentials and twisted boundary conditions both result in complex fermionic determinants which are analyzed. The non-minimal coupling to gravity does deform the conformal algebra which in particular contains the minimal models. We compute the central charges, conformal weights and finite size effects. For the gauged model we derive the partition functions and the explicit expression for the chiral condensate at finite temperature and curvature. The Bosonization in compact curved space-times is also investigated.
| 16.855808
| 15.723015
| 14.972616
| 14.378443
| 16.063293
| 14.512847
| 14.619986
| 14.198359
| 14.400525
| 18.819099
| 15.513534
| 15.326338
| 16.078497
| 15.459366
| 15.41288
| 15.56475
| 15.662131
| 15.152598
| 15.405588
| 16.072464
| 15.74187
|
1804.04654
|
Kristan Jensen
|
Kristan Jensen, Raja Marjieh, Natalia Pinzani-Fokeeva and Amos Yarom
|
A panoply of Schwinger-Keldysh transport
|
96 pages; v2. Corrected an error regarding CPT transformation
properties of dissipative transport and added references; v3. Minor fixes
|
SciPost Phys. 5, 053 (2018)
|
10.21468/SciPostPhys.5.5.053
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify all possible allowed constitutive relations of relativistic
fluids in a statistical mechanical limit using the Schwinger-Keldysh effective
action for hydrodynamics. We find that microscopic unitarity enforces genuinely
new constraints on the allowed transport coefficients that are invisible in the
classical hydrodynamic description; they are not implied by the second law or
the Onsager relations. We term these conditions Schwinger-Keldysh positivity
and provide explicit examples of the various allowed terms.
|
[
{
"created": "Thu, 12 Apr 2018 17:59:58 GMT",
"version": "v1"
},
{
"created": "Fri, 4 May 2018 11:08:27 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Nov 2018 22:18:39 GMT",
"version": "v3"
}
] |
2018-11-28
|
[
[
"Jensen",
"Kristan",
""
],
[
"Marjieh",
"Raja",
""
],
[
"Pinzani-Fokeeva",
"Natalia",
""
],
[
"Yarom",
"Amos",
""
]
] |
We classify all possible allowed constitutive relations of relativistic fluids in a statistical mechanical limit using the Schwinger-Keldysh effective action for hydrodynamics. We find that microscopic unitarity enforces genuinely new constraints on the allowed transport coefficients that are invisible in the classical hydrodynamic description; they are not implied by the second law or the Onsager relations. We term these conditions Schwinger-Keldysh positivity and provide explicit examples of the various allowed terms.
| 15.186553
| 14.604288
| 16.516796
| 14.395637
| 14.544512
| 13.863406
| 14.682443
| 13.170404
| 13.828535
| 17.977917
| 13.310053
| 13.270606
| 14.923994
| 13.852783
| 13.674143
| 13.401323
| 13.659021
| 13.535955
| 13.197581
| 14.674653
| 12.889883
|
1207.7268
|
Christoph N\"olle
|
Christoph N\"olle
|
Instantons, five-branes and fractional strings
|
20 pages, 5 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note I review the construction of higher-dimensional instantons and
heterotic NS5-branes on Ricci-flat cones from arXiv:1109.3552, as well as
fractional strings from arXiv:1202.5046. The focus is on methods and
interpretation. I show, furthermore, that smeared 5-brane supergravity
solutions on manifolds with holonomy G2 or Spin(7) can be obtained quite
generally by a conformal deformation of the Ricci-flat metric, whereas
Calabi-Yau and hyperk\"ahler manifolds require more sophisticated deformations
and a case by case treatment.
|
[
{
"created": "Tue, 31 Jul 2012 14:41:34 GMT",
"version": "v1"
}
] |
2012-08-01
|
[
[
"Nölle",
"Christoph",
""
]
] |
In this note I review the construction of higher-dimensional instantons and heterotic NS5-branes on Ricci-flat cones from arXiv:1109.3552, as well as fractional strings from arXiv:1202.5046. The focus is on methods and interpretation. I show, furthermore, that smeared 5-brane supergravity solutions on manifolds with holonomy G2 or Spin(7) can be obtained quite generally by a conformal deformation of the Ricci-flat metric, whereas Calabi-Yau and hyperk\"ahler manifolds require more sophisticated deformations and a case by case treatment.
| 10.857001
| 10.648816
| 10.917923
| 10.369078
| 10.962838
| 10.721211
| 10.1516
| 10.38304
| 9.907654
| 12.412494
| 10.238616
| 9.994757
| 10.559572
| 9.594728
| 9.729993
| 10.010906
| 9.807074
| 9.886836
| 9.858131
| 10.47728
| 9.679652
|
2406.17449
|
Nibedita Padhi
|
Rashmi R Nayak, Nibedita Padhi, Manoranjan Samal
|
Pulsating string solution and stability in two parameter $\chi$-deformed
background
|
18 pages,5 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we investigate pulsating string solutions within the context
of a two-parameter $\chi$-deformed $\mathcal{R} \times S^2$ background. We
derive the energy and oscillation number relation for the deformed $\mathcal{R}
\times S^2$ in a short string limit. Additionally, we derive the first-order
perturbation equation for a pulsating string in this specific background. As a
special case of the two-parameter deformed background, we examine the stability
of the pulsating string solution in one-parameter deformed $\mathcal{R} \times
S^2$ and $AdS_3$ background by setting one of the deformation parameters to
zero.
|
[
{
"created": "Tue, 25 Jun 2024 10:41:21 GMT",
"version": "v1"
}
] |
2024-06-26
|
[
[
"Nayak",
"Rashmi R",
""
],
[
"Padhi",
"Nibedita",
""
],
[
"Samal",
"Manoranjan",
""
]
] |
In this paper, we investigate pulsating string solutions within the context of a two-parameter $\chi$-deformed $\mathcal{R} \times S^2$ background. We derive the energy and oscillation number relation for the deformed $\mathcal{R} \times S^2$ in a short string limit. Additionally, we derive the first-order perturbation equation for a pulsating string in this specific background. As a special case of the two-parameter deformed background, we examine the stability of the pulsating string solution in one-parameter deformed $\mathcal{R} \times S^2$ and $AdS_3$ background by setting one of the deformation parameters to zero.
| 5.78044
| 4.817964
| 5.981018
| 5.219917
| 5.034798
| 4.953957
| 5.039384
| 4.765987
| 4.979703
| 5.971005
| 4.801896
| 5.17301
| 5.500446
| 5.079214
| 5.204845
| 5.050196
| 5.158937
| 4.985698
| 5.243721
| 5.41885
| 5.161438
|
hep-th/0209182
|
Yi-Xin Chen
|
Yi-Xin Chen
|
Matrix models of 4-dimensional quantum Hall fluids
|
4 pages, no figures, revtex, replaced by new version
| null | null | null |
hep-th cond-mat.mes-hall
| null |
We propose two non-abelian Chern-Simons matrix models as the effective
descriptions of 4-dimensional quantum Hall fluids. One of them describes a new
type of 4-dimensional quantum Hall fluid on the space of quaternions, the other
provides the description of non-commutative field theory for Zhang and Hu's
4-dimensional quantum Hall fluid of $S^4$. The complete sets of physical
quantum states of these matrix models are determined, and the properties of
quantum Hall fluids related with them are discussed.
|
[
{
"created": "Mon, 23 Sep 2002 08:24:26 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Dec 2002 08:08:41 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Chen",
"Yi-Xin",
""
]
] |
We propose two non-abelian Chern-Simons matrix models as the effective descriptions of 4-dimensional quantum Hall fluids. One of them describes a new type of 4-dimensional quantum Hall fluid on the space of quaternions, the other provides the description of non-commutative field theory for Zhang and Hu's 4-dimensional quantum Hall fluid of $S^4$. The complete sets of physical quantum states of these matrix models are determined, and the properties of quantum Hall fluids related with them are discussed.
| 10.32333
| 9.369295
| 11.24738
| 9.3055
| 9.305731
| 9.250582
| 9.297696
| 8.673837
| 9.015444
| 11.851954
| 8.466864
| 9.172367
| 9.965014
| 8.948005
| 8.7934
| 9.384335
| 8.714988
| 9.038801
| 9.323939
| 9.77014
| 9.309872
|
2307.06884
|
Maria Nocchi
|
Luis F. Alday, Vasco Gon\c{c}alves, Maria Nocchi, and Xinan Zhou
|
Six-Point AdS Gluon Amplitudes from Flat Space and Factorization
|
6 pages, 6 figures v2: typos corrected, one notebook with results
included. To be published on Physical Review Research
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present a powerful new approach to compute tree-level higher-point
holographic correlators. Our method only exploits the flat-space limit, where
we point out a novel and important simplification, and factorization of
amplitudes in AdS. In particular, it makes minimal use of supersymmetry,
crucial in all previous bootstrap methods. We demonstrate our method by
computing the six-point super gluon amplitude of super Yang-Mills in AdS$_5$.
|
[
{
"created": "Thu, 13 Jul 2023 16:35:50 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Feb 2024 09:05:52 GMT",
"version": "v2"
}
] |
2024-02-09
|
[
[
"Alday",
"Luis F.",
""
],
[
"Gonçalves",
"Vasco",
""
],
[
"Nocchi",
"Maria",
""
],
[
"Zhou",
"Xinan",
""
]
] |
We present a powerful new approach to compute tree-level higher-point holographic correlators. Our method only exploits the flat-space limit, where we point out a novel and important simplification, and factorization of amplitudes in AdS. In particular, it makes minimal use of supersymmetry, crucial in all previous bootstrap methods. We demonstrate our method by computing the six-point super gluon amplitude of super Yang-Mills in AdS$_5$.
| 14.616142
| 12.972979
| 13.593662
| 11.22071
| 11.559723
| 12.68024
| 11.098085
| 11.284582
| 12.024791
| 15.883952
| 11.507574
| 12.896547
| 14.427138
| 13.127208
| 12.68185
| 12.521229
| 12.737105
| 12.86116
| 12.458163
| 14.739276
| 13.073283
|
2202.10466
|
Max Wiesner
|
Fernando Marchesano, Max Wiesner
|
4d strings at strong coupling
|
80 pages, 6 figures, v2: minor corrections, references and 1 appendix
added; published version
| null |
10.1007/JHEP08(2022)004
|
IFT-UAM/CSIC-22-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Weakly coupled regions of 4d EFTs coupled to gravity are particularly
suitable to describe the backreaction of BPS fundamental axionic strings,
dubbed EFT strings, in a local patch of spacetime around their core. We study
the extension of these local solutions to global ones, which implies probing
regions of strong coupling and provides an estimate of the EFT string tension
therein. We conjecture that for the EFT string charge generators such a global
extension is always possible and yields a sub-Planckian tension. We
substantiate this claim by analysing global solutions of 4d strings made up
from NS5-branes wrapping Calabi-Yau threefold divisors in either type IIA or
heterotic string theory. We argue that in this case the global,
non-perturbative data of the backreaction can be simply encoded in terms of a
GLSM describing the compactification, as we demonstrate in explicit examples.
|
[
{
"created": "Mon, 21 Feb 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2022 14:00:12 GMT",
"version": "v2"
}
] |
2022-08-05
|
[
[
"Marchesano",
"Fernando",
""
],
[
"Wiesner",
"Max",
""
]
] |
Weakly coupled regions of 4d EFTs coupled to gravity are particularly suitable to describe the backreaction of BPS fundamental axionic strings, dubbed EFT strings, in a local patch of spacetime around their core. We study the extension of these local solutions to global ones, which implies probing regions of strong coupling and provides an estimate of the EFT string tension therein. We conjecture that for the EFT string charge generators such a global extension is always possible and yields a sub-Planckian tension. We substantiate this claim by analysing global solutions of 4d strings made up from NS5-branes wrapping Calabi-Yau threefold divisors in either type IIA or heterotic string theory. We argue that in this case the global, non-perturbative data of the backreaction can be simply encoded in terms of a GLSM describing the compactification, as we demonstrate in explicit examples.
| 13.326844
| 11.236992
| 14.122991
| 11.694948
| 11.910721
| 12.494005
| 11.820415
| 11.926787
| 11.689471
| 15.821579
| 12.307463
| 11.851109
| 12.849091
| 11.860227
| 11.37928
| 11.691279
| 11.700872
| 11.627197
| 11.902256
| 13.083623
| 12.114379
|
1710.03054
|
Siyi Zhou
|
Aditya Varna Iyer, Shi Pi, Yi Wang, Ziwei Wang, Siyi Zhou
|
Strongly Coupled Quasi-Single Field Inflation
|
25 pages
| null |
10.1088/1475-7516/2018/01/041
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the power spectrum of quasi-single field inflation where strong
coupling is considered. The contribution from the massive propagator can be
divided into local and non-local contributions. The local one is the leading
contribution and is power-law suppressed as a function of mass, while the
non-local contribution is exponentially suppressed in the large mass limit. For
the local contribution, it is possible to use the effective field theory
approach to study the power spectrum in the strongly coupled region of the
parameter space. For the non-local contribution, we developed a partial
effective field theory method to simplify the calculation: When there are
multiple massive propagators, one can fully compute it after integrating out
all but one massive propagator by effective field theory. The result retains
the "standard clock" signal, which is interesting for probing the expansion
history of the primordial universe and the physics of a "cosmological
collider". The error involved compared to the full calculation is power law
suppressed by the effective mass of the heavy field.
|
[
{
"created": "Mon, 9 Oct 2017 12:23:54 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2017 02:08:35 GMT",
"version": "v2"
}
] |
2018-02-07
|
[
[
"Iyer",
"Aditya Varna",
""
],
[
"Pi",
"Shi",
""
],
[
"Wang",
"Yi",
""
],
[
"Wang",
"Ziwei",
""
],
[
"Zhou",
"Siyi",
""
]
] |
We study the power spectrum of quasi-single field inflation where strong coupling is considered. The contribution from the massive propagator can be divided into local and non-local contributions. The local one is the leading contribution and is power-law suppressed as a function of mass, while the non-local contribution is exponentially suppressed in the large mass limit. For the local contribution, it is possible to use the effective field theory approach to study the power spectrum in the strongly coupled region of the parameter space. For the non-local contribution, we developed a partial effective field theory method to simplify the calculation: When there are multiple massive propagators, one can fully compute it after integrating out all but one massive propagator by effective field theory. The result retains the "standard clock" signal, which is interesting for probing the expansion history of the primordial universe and the physics of a "cosmological collider". The error involved compared to the full calculation is power law suppressed by the effective mass of the heavy field.
| 10.944826
| 10.680148
| 11.222272
| 10.052283
| 10.998962
| 10.769449
| 11.444023
| 10.202483
| 10.301231
| 11.753364
| 10.403155
| 10.381761
| 10.24603
| 9.989908
| 9.815729
| 10.155915
| 10.125001
| 10.078806
| 10.301023
| 10.52033
| 10.204213
|
hep-th/0602231
|
Stefano Bellucci
|
Stefano Bellucci, Levon Mardoyan and Armen Nersessian
|
Hyperboloid, instanton, oscillator
|
6 pages, PACS numbers: 03.65-w, 11.30.Pb
|
Phys.Lett. B636 (2006) 137-141
|
10.1016/j.physletb.2006.03.044
| null |
hep-th quant-ph
| null |
We suggest the exactly solvable model of the oscillator on a four-dimensional
hyperboloid which interacts with a SU(2) instanton. We calculate its
wavefunctions and spectrum.
|
[
{
"created": "Wed, 22 Feb 2006 16:55:40 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Mardoyan",
"Levon",
""
],
[
"Nersessian",
"Armen",
""
]
] |
We suggest the exactly solvable model of the oscillator on a four-dimensional hyperboloid which interacts with a SU(2) instanton. We calculate its wavefunctions and spectrum.
| 18.170811
| 12.000659
| 16.540686
| 13.036515
| 12.224872
| 12.885852
| 11.772569
| 13.401942
| 13.162647
| 16.687721
| 13.645971
| 14.589387
| 16.680532
| 14.278708
| 15.388683
| 14.357851
| 14.349552
| 13.72014
| 14.271638
| 16.25449
| 13.562116
|
0805.4615
|
Nikolay Gromov
|
Nikolay Gromov
|
Generalized Scaling Function at Strong Coupling
| null |
JHEP 0811:085,2008
|
10.1088/1126-6708/2008/11/085
|
LPTENS 08/31, SPhT-t08/094
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We considered folded spinning string in AdS_5 x S^5 background dual to the
Tr(D^S Phi^J) operators of N=4 SYM theory. In the limit S,J-> \infty and l=pi
J/\sqrt\lambda\log S fixed we compute the string energy with the 2-loop
accuracy in the worldsheet coupling \sqrt\lambda from the asymptotical Bethe
ansatz. In the limit l-> 0 the result is finite due to the massive cancelations
with terms coming from the conjectured dressing phase. We also managed to
compute all leading logarithm terms l^{2m}\log^n l/\lambda^n/2 to an arbitrary
order in perturbation theory. In particular for m=1 we reproduced results of
Alday and Maldacena computed from a sigma model. The method developed in this
paper could be used for a systematic expansion in 1/\sqrt\lambda and also at
weak coupling.
|
[
{
"created": "Thu, 29 May 2008 19:57:49 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jun 2008 17:15:44 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Oct 2008 16:24:02 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Gromov",
"Nikolay",
""
]
] |
We considered folded spinning string in AdS_5 x S^5 background dual to the Tr(D^S Phi^J) operators of N=4 SYM theory. In the limit S,J-> \infty and l=pi J/\sqrt\lambda\log S fixed we compute the string energy with the 2-loop accuracy in the worldsheet coupling \sqrt\lambda from the asymptotical Bethe ansatz. In the limit l-> 0 the result is finite due to the massive cancelations with terms coming from the conjectured dressing phase. We also managed to compute all leading logarithm terms l^{2m}\log^n l/\lambda^n/2 to an arbitrary order in perturbation theory. In particular for m=1 we reproduced results of Alday and Maldacena computed from a sigma model. The method developed in this paper could be used for a systematic expansion in 1/\sqrt\lambda and also at weak coupling.
| 14.460704
| 11.223633
| 15.31232
| 11.26923
| 12.373189
| 12.047946
| 12.187483
| 11.527583
| 10.650415
| 16.155483
| 11.323685
| 11.016028
| 12.712741
| 11.185655
| 11.009898
| 10.894743
| 10.81585
| 11.498422
| 10.927354
| 13.012083
| 11.320405
|
hep-th/9909105
|
B. Stefanski jr.
|
B. Stefanski Jr
|
WZ Couplings of D-branes and O-planes
|
4 pages, LaTeX. To appear in the gong show section of the Proceedings
of the Cargese `99 ASI "Progress in String Theory and M-Theory"
| null | null | null |
hep-th
| null |
In this short note we review the construction and role of Wess-Zumino
couplings of Dirichlet branes and Orientifold planes, and show how these
combine to give the Green-Schwarz anomaly cancelling terms.
|
[
{
"created": "Wed, 15 Sep 1999 09:14:03 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 1999 09:22:29 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Stefanski",
"B.",
"Jr"
]
] |
In this short note we review the construction and role of Wess-Zumino couplings of Dirichlet branes and Orientifold planes, and show how these combine to give the Green-Schwarz anomaly cancelling terms.
| 13.456116
| 7.903618
| 11.849544
| 8.820786
| 9.209444
| 7.718564
| 7.347009
| 8.973479
| 8.120599
| 11.412118
| 8.632568
| 8.778373
| 11.05207
| 9.47037
| 9.532175
| 8.910475
| 9.490743
| 8.925688
| 9.65962
| 11.518894
| 9.074312
|
hep-th/9807177
|
Qiong-gui Lin
|
Qiong-gui Lin
|
Nonlocal electrodynamics in 2+1 dimensions from Chern-Simons theory
|
LaTeX, no figure
|
Commun.Theor.Phys. 30 (1998) 249-256
|
10.1088/0253-6102/30/2/249
| null |
hep-th
| null |
The theory of a spinor field interacting with a pure Chern-Simons gauge field
in 2+1 dimensions is quantized. Dynamical and nondynamical variables are
separated in a gauge-independent way. After the nondynamical variables are
dropped, this theory reduces to a pure spinor field theory with nonlocal
interaction. Several two-body scattering processes are studied and the cross
sections are obtained in explicitly Lorentz invariant forms.
|
[
{
"created": "Thu, 23 Jul 1998 04:29:53 GMT",
"version": "v1"
}
] |
2018-01-17
|
[
[
"Lin",
"Qiong-gui",
""
]
] |
The theory of a spinor field interacting with a pure Chern-Simons gauge field in 2+1 dimensions is quantized. Dynamical and nondynamical variables are separated in a gauge-independent way. After the nondynamical variables are dropped, this theory reduces to a pure spinor field theory with nonlocal interaction. Several two-body scattering processes are studied and the cross sections are obtained in explicitly Lorentz invariant forms.
| 8.970797
| 7.402002
| 9.443305
| 7.125126
| 7.935679
| 7.586807
| 8.083345
| 7.268325
| 7.596353
| 9.099346
| 7.15558
| 7.845184
| 8.607593
| 8.244681
| 8.123852
| 8.192633
| 8.137367
| 8.13311
| 8.232912
| 8.376214
| 7.950602
|
hep-th/9510115
|
Miguel Ortiz
|
Gilad Lifschytz and Miguel E. Ortiz
|
Black hole thermodynamics from quantum gravity
|
Latex, 18 pages, no figures
|
Nucl.Phys. B486 (1997) 131-148
|
10.1016/S0550-3213(96)00596-2
| null |
hep-th gr-qc
| null |
The semiclassical approximation is studied on hypersurfaces approaching the
union of future null infinity and the event horizon on a large class of four
dimensional black hole backgrounds. Quantum fluctuations in the background
geometry are shown to lead to a breakdown of the semiclassical approximation in
these models. The boundary of the region where the semiclassical approximation
breaks down is used to define a `stretched horizon'. It is shown that the same
effect that brings about the breakdown in semiclassical evolution associates a
temperature and an entropy to the region behind the stretched horizon, and
identifies the microstates that underlie the thermodynamical properties. The
temperature defined in this way is equal to that of the black hole and the
entropy is equal to the Bekenstein entropy up to a factor of order unity.
|
[
{
"created": "Tue, 17 Oct 1995 15:02:39 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Oct 1995 14:05:57 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Lifschytz",
"Gilad",
""
],
[
"Ortiz",
"Miguel E.",
""
]
] |
The semiclassical approximation is studied on hypersurfaces approaching the union of future null infinity and the event horizon on a large class of four dimensional black hole backgrounds. Quantum fluctuations in the background geometry are shown to lead to a breakdown of the semiclassical approximation in these models. The boundary of the region where the semiclassical approximation breaks down is used to define a `stretched horizon'. It is shown that the same effect that brings about the breakdown in semiclassical evolution associates a temperature and an entropy to the region behind the stretched horizon, and identifies the microstates that underlie the thermodynamical properties. The temperature defined in this way is equal to that of the black hole and the entropy is equal to the Bekenstein entropy up to a factor of order unity.
| 8.372128
| 7.476257
| 8.241085
| 7.502878
| 7.851381
| 8.036188
| 7.450469
| 7.506691
| 7.2022
| 8.271492
| 7.618797
| 7.583632
| 8.042006
| 7.736966
| 7.416178
| 7.874265
| 7.618137
| 7.731303
| 7.696516
| 7.872146
| 7.806585
|
hep-th/9411094
|
Annette Holtkamp
|
Hermann Hessling
|
On the Local Equilibrium Condition
|
5 pages, latex
| null | null |
DESY 94-208
|
hep-th quant-ph
| null |
A physical system is in local equilibrium if it cannot be distinguished from
a global equilibrium by ``infinitesimally localized measurements''. This should
be a natural characterization of local equilibrium, but the problem is to give
a precise meaning to the qualitative phrase ``infinitesimally localized
measurements''. A solution is suggested in form of a Local Equilibrium
Condition, which can be applied to linear relativistic quantum field theories
but not directly to selfinteracting quantum fields. The concept of local
temperature resulting from LEC is compared to an old approach to local
temperature based on the principle of maximal entropy. It is shown that the
principle of maximal entropy does not always lead to physical states if it is
applied to relativistic quantum field theories.
|
[
{
"created": "Mon, 14 Nov 1994 12:38:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hessling",
"Hermann",
""
]
] |
A physical system is in local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements''. This should be a natural characterization of local equilibrium, but the problem is to give a precise meaning to the qualitative phrase ``infinitesimally localized measurements''. A solution is suggested in form of a Local Equilibrium Condition, which can be applied to linear relativistic quantum field theories but not directly to selfinteracting quantum fields. The concept of local temperature resulting from LEC is compared to an old approach to local temperature based on the principle of maximal entropy. It is shown that the principle of maximal entropy does not always lead to physical states if it is applied to relativistic quantum field theories.
| 7.851593
| 7.050361
| 8.204018
| 7.550718
| 7.11575
| 6.785849
| 7.40941
| 7.704555
| 7.454825
| 8.431557
| 7.37149
| 7.406911
| 7.380119
| 7.41833
| 7.377526
| 7.446512
| 7.472617
| 7.6316
| 7.47712
| 7.821532
| 7.465407
|
1207.2789
|
Jay Armas
|
Jay Armas, Troels Harmark, Niels A. Obers, Marta Orselli, Andreas
Vigand Pedersen
|
Thermal Giant Gravitons
|
v1: 32 pages + 11 pages appendices, 13 figures, v2: typos fixed in
Sec.2 and other misprints, references added
|
JHEP 1211 (2012) 123
|
10.1007/JHEP11(2012)123
|
NORDITA-2012-53; NSF-KITP-12-128
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the giant graviton solution as the AdS_5 X S^5 background is heated
up to finite temperature. The analysis employs the thermal brane probe
technique based on the blackfold approach. We focus mainly on the thermal giant
graviton corresponding to a thermal D3-brane probe wrapped on an S^3 moving on
the S^5 of the background at finite temperature. We find several interesting
new effects, including that the thermal giant graviton has a minimal possible
value for the angular momentum and correspondingly also a minimal possible
radius of the S^3. We compute the free energy of the thermal giant graviton in
the low temperature regime, which potentially could be compared to that of a
thermal state on the gauge theory side. Moreover, we analyze the space of
solutions and stability of the thermal giant graviton and find that, in
parallel with the extremal case, there are two available solutions for a given
temperature and angular momentum, one stable and one unstable. In order to
write down the equations of motion, action and conserved charges for the
thermal giant graviton we present a slight generalization of the blackfold
formalism for charged black branes. Finally, we also briefly consider the
thermal giant graviton moving in the AdS_5 part.
|
[
{
"created": "Wed, 11 Jul 2012 20:51:53 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Aug 2012 12:45:58 GMT",
"version": "v2"
}
] |
2014-12-23
|
[
[
"Armas",
"Jay",
""
],
[
"Harmark",
"Troels",
""
],
[
"Obers",
"Niels A.",
""
],
[
"Orselli",
"Marta",
""
],
[
"Pedersen",
"Andreas Vigand",
""
]
] |
We study the giant graviton solution as the AdS_5 X S^5 background is heated up to finite temperature. The analysis employs the thermal brane probe technique based on the blackfold approach. We focus mainly on the thermal giant graviton corresponding to a thermal D3-brane probe wrapped on an S^3 moving on the S^5 of the background at finite temperature. We find several interesting new effects, including that the thermal giant graviton has a minimal possible value for the angular momentum and correspondingly also a minimal possible radius of the S^3. We compute the free energy of the thermal giant graviton in the low temperature regime, which potentially could be compared to that of a thermal state on the gauge theory side. Moreover, we analyze the space of solutions and stability of the thermal giant graviton and find that, in parallel with the extremal case, there are two available solutions for a given temperature and angular momentum, one stable and one unstable. In order to write down the equations of motion, action and conserved charges for the thermal giant graviton we present a slight generalization of the blackfold formalism for charged black branes. Finally, we also briefly consider the thermal giant graviton moving in the AdS_5 part.
| 6.759583
| 6.546295
| 7.236098
| 6.704334
| 6.555369
| 6.490708
| 6.703427
| 6.587345
| 6.597072
| 7.316806
| 6.637869
| 6.59878
| 6.961363
| 6.515863
| 6.566937
| 6.644326
| 6.59414
| 6.587433
| 6.613632
| 6.763184
| 6.516945
|
hep-th/0208073
| null |
A. Gorsky, M. Shifman
|
Testing Nonperturbative Orbifold Conjecture
|
Latex, 13 pages, 1 eps figure
|
Phys.Rev. D67 (2003) 022003
|
10.1103/PhysRevD.67.022003
|
ITEP-TH-35/02, TPI-MINN-02/14, UMN-TH-2101/02
|
hep-th hep-ph
| null |
We discuss Strassler's hypothesis of matching nonperturbative effects in
orbifold pairs of gauge theories which are perturbatively planar equivalent.
One of the examples considered is the parent N=1 SU(N) supersymmetric
Yang-Mills theory and its nonsupersymmetric orbifold daughter. We apply two
strategies allowing us to study nonperturbative effects: (i) low-energy
theorems; (ii) putting the theory on small-size T^4 or R^3 x S^1 the parent and
daughter theories are weakly coupled and amenable to quasiclassical treatment.
In all cases our consideration yields a mismatch between the parent and
daughter theories. Thus, regretfully, we present evidence against Strassler's
hypothesis.
|
[
{
"created": "Fri, 9 Aug 2002 21:33:38 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Gorsky",
"A.",
""
],
[
"Shifman",
"M.",
""
]
] |
We discuss Strassler's hypothesis of matching nonperturbative effects in orbifold pairs of gauge theories which are perturbatively planar equivalent. One of the examples considered is the parent N=1 SU(N) supersymmetric Yang-Mills theory and its nonsupersymmetric orbifold daughter. We apply two strategies allowing us to study nonperturbative effects: (i) low-energy theorems; (ii) putting the theory on small-size T^4 or R^3 x S^1 the parent and daughter theories are weakly coupled and amenable to quasiclassical treatment. In all cases our consideration yields a mismatch between the parent and daughter theories. Thus, regretfully, we present evidence against Strassler's hypothesis.
| 11.448022
| 12.191257
| 12.38755
| 10.733439
| 11.594024
| 11.555477
| 12.085217
| 11.583179
| 10.738328
| 12.966507
| 10.475701
| 11.393579
| 11.154662
| 10.796881
| 10.979736
| 10.827765
| 11.448065
| 10.71634
| 11.006299
| 10.820934
| 10.905203
|
hep-th/0002200
|
Kirill Bronnikov
|
K.A. Bronnikov and V.N. Melnikov
|
p-Brane Black Holes as Stability Islands
|
16 pages, Latex2e
|
Nucl.Phys.B584:436-458,2000
|
10.1016/S0550-3213(00)00240-6
| null |
hep-th
| null |
In multidimensional gravity with an arbitrary number of internal Ricci-flat
factor spaces, interacting with electric and magnetic $p$-branes, spherically
symmetric configurations are considered. It is shown that all single-brane
black-hole solutions are stable under spherically symmetric perturbations,
whereas similar solutions possessing naked singularities turn out to be
catastrophically unstable. The black hole stability conclusion is extended to
some classes of configurations with intersecting branes. These results do not
depend on the particular composition of the $D$-dimensional space-time, on the
number of dilatonic scalar fields $\phi^a$ and on the values of their coupling
constants. Some examples from 11-dimensional supergravity are considered.
|
[
{
"created": "Wed, 23 Feb 2000 20:18:48 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Bronnikov",
"K. A.",
""
],
[
"Melnikov",
"V. N.",
""
]
] |
In multidimensional gravity with an arbitrary number of internal Ricci-flat factor spaces, interacting with electric and magnetic $p$-branes, spherically symmetric configurations are considered. It is shown that all single-brane black-hole solutions are stable under spherically symmetric perturbations, whereas similar solutions possessing naked singularities turn out to be catastrophically unstable. The black hole stability conclusion is extended to some classes of configurations with intersecting branes. These results do not depend on the particular composition of the $D$-dimensional space-time, on the number of dilatonic scalar fields $\phi^a$ and on the values of their coupling constants. Some examples from 11-dimensional supergravity are considered.
| 8.698083
| 7.850601
| 6.859594
| 6.650857
| 7.731275
| 7.767449
| 7.990585
| 6.791495
| 7.392683
| 7.002886
| 7.613769
| 7.302716
| 7.295093
| 7.21343
| 7.559404
| 7.554894
| 7.621587
| 7.280021
| 7.53196
| 7.576381
| 7.703338
|
1107.3892
|
Kiyoshi Shiraishi
|
Nahomi Kan (Yamaguchi Junior College), Koichiro Kobayashi and Kiyoshi
Shiraishi (Yamaguchi University)
|
Fermion spectrum and localization on kinks in a deconstructed dimension
|
19pages, 39figures, revised version
|
International Journal of Modern Physics A, Vol. 26, Issue 32
(2011) 5369-5386
|
10.1142/S0217751X11054991
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the deconstructed scalar theory having nonlinear interactions and
being renormalizable. It is shown that the kink-like configurations exist in
such models. The possible forms of Yukawa coupling are considered. We find the
degeneracy in mass spectrum of fermions coupled to the nontrivial scalar
configuration.
|
[
{
"created": "Wed, 20 Jul 2011 05:32:51 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Dec 2011 01:42:49 GMT",
"version": "v2"
}
] |
2015-03-19
|
[
[
"Kan",
"Nahomi",
"",
"Yamaguchi Junior College"
],
[
"Kobayashi",
"Koichiro",
"",
"Yamaguchi University"
],
[
"Shiraishi",
"Kiyoshi",
"",
"Yamaguchi University"
]
] |
We study the deconstructed scalar theory having nonlinear interactions and being renormalizable. It is shown that the kink-like configurations exist in such models. The possible forms of Yukawa coupling are considered. We find the degeneracy in mass spectrum of fermions coupled to the nontrivial scalar configuration.
| 17.759935
| 15.82929
| 13.042671
| 13.701279
| 14.087283
| 14.574986
| 14.339921
| 14.343727
| 14.508489
| 14.47228
| 13.548965
| 14.764853
| 14.258409
| 14.128271
| 14.192752
| 14.553869
| 14.693698
| 14.522522
| 14.148155
| 14.594817
| 14.177463
|
2106.12195
|
Yolanda Lozano
|
Yolanda Lozano, Anayeli Ramirez
|
New advancements in AdS/CFT in lower dimensions
|
30 pages, contribution to the Open Access Special Issue "Women
Physicists in Astrophysics, Cosmology and Particle Physics", to be published
in [Universe] (ISSN 2218-1997, IF 1.752), version expanded to meet journal
requirements, references added
| null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We review recent developments in the study of the AdS/CFT correspondence in
lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$
solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the
construction of their 2d dual quiver CFTs. These theories are the seed for
further developments, that we review next. First, we construct a new class of
AdS$_3$ solutions in M-theory that describe M-strings in M5-brane
intersections. Second, we generate a new class of AdS$_2\times$S$^3$ solutions
in massive IIA with 4 supercharges that we interpret as describing backreacted
baryon vertices within the 5d $\mathcal{N}=1$ QFT living in D4-D8 branes.
Third, we construct two classes of AdS$_2$ solutions in Type IIB. The first are
dual to discrete light-cone quantised quantum mechanics living in null
cylinders. The second class is interpreted as dual to backreacted baryon
vertices within 4d $\mathcal{N}=2$ QFT living in D3-D7 branes. Explicit dual
quiver field theories are given for all classes of solutions. These are used to
compute the central charges of the CFTs, that are shown to agree with the
holographic expressions.
|
[
{
"created": "Wed, 23 Jun 2021 06:55:44 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 2021 06:53:34 GMT",
"version": "v2"
}
] |
2021-06-30
|
[
[
"Lozano",
"Yolanda",
""
],
[
"Ramirez",
"Anayeli",
""
]
] |
We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$ solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the construction of their 2d dual quiver CFTs. These theories are the seed for further developments, that we review next. First, we construct a new class of AdS$_3$ solutions in M-theory that describe M-strings in M5-brane intersections. Second, we generate a new class of AdS$_2\times$S$^3$ solutions in massive IIA with 4 supercharges that we interpret as describing backreacted baryon vertices within the 5d $\mathcal{N}=1$ QFT living in D4-D8 branes. Third, we construct two classes of AdS$_2$ solutions in Type IIB. The first are dual to discrete light-cone quantised quantum mechanics living in null cylinders. The second class is interpreted as dual to backreacted baryon vertices within 4d $\mathcal{N}=2$ QFT living in D3-D7 branes. Explicit dual quiver field theories are given for all classes of solutions. These are used to compute the central charges of the CFTs, that are shown to agree with the holographic expressions.
| 5.252501
| 4.882984
| 6.160437
| 4.781124
| 4.800662
| 4.859021
| 4.931675
| 4.95615
| 5.03836
| 6.403672
| 4.773328
| 5.052481
| 5.327081
| 5.020669
| 5.106957
| 5.053776
| 5.027413
| 5.037386
| 4.972941
| 5.306077
| 5.032451
|
1311.2090
|
Kassahun Betre
|
Kassahun Betre
|
Three-point current correlation functions as probes of Effective
Conformal Theories
| null | null |
10.1007/JHEP04(2014)098
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The three-point current correlation function in Euclidean spacetime for a
strongly coupled system with non-Abelian global symmetry, $\langle
J^a_i(x)J^b_j(y)J^c_k(z)\rangle$, is calculated from the weakly coupled AdS
dual. The contribution from the first non-renormalizable bulk operator,
$(F_{\mu\nu})^3$, is calculated and shown to lead to a polarization structure
different from the leading contribution, which comes from the renormalizable
$(F_{\mu\nu})^2$ operator. The non-renormalizable correction is suppressed by
powers of the cutoff scale $\Lambda$. This suggests a possible experimental
probe of the effective description through a measurement of the cutoff scale
$\Lambda$ in strongly coupled condensed matter systems.
|
[
{
"created": "Fri, 8 Nov 2013 21:49:46 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Betre",
"Kassahun",
""
]
] |
The three-point current correlation function in Euclidean spacetime for a strongly coupled system with non-Abelian global symmetry, $\langle J^a_i(x)J^b_j(y)J^c_k(z)\rangle$, is calculated from the weakly coupled AdS dual. The contribution from the first non-renormalizable bulk operator, $(F_{\mu\nu})^3$, is calculated and shown to lead to a polarization structure different from the leading contribution, which comes from the renormalizable $(F_{\mu\nu})^2$ operator. The non-renormalizable correction is suppressed by powers of the cutoff scale $\Lambda$. This suggests a possible experimental probe of the effective description through a measurement of the cutoff scale $\Lambda$ in strongly coupled condensed matter systems.
| 6.620073
| 6.610377
| 6.765888
| 6.099709
| 7.287056
| 6.531152
| 6.866529
| 6.656983
| 6.22774
| 6.423669
| 6.198408
| 6.193066
| 6.383403
| 6.154009
| 5.937519
| 5.882521
| 5.997527
| 6.247302
| 6.169869
| 6.426
| 6.318522
|
1808.02628
|
Seyed Ali Hosseini Mansoori
|
Ahmad Jamali Hafshejani and Seyed Ali Hosseini Mansoori
|
Unbalanced St\"{u}ckelberg Holographic Superconductors with Backreaction
|
30 pages, 74 figures, Accepted by JHEP
| null | null | null |
hep-th cond-mat.supr-con gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We numerically investigate some properties of unbalanced St\"{u}ckelberg
holographic superconductors, by considering backreaction effects of fields on
the background geometry. More precisely, we study the impacts of the chemical
potential mismatch and St\"{u}ckelberg mechanism on the condensation and
conductivity types (electrical, spin, mixed, thermo-electric, thermo-spin and
thermal conductivity). Our results show that the St\"{u}ckelberg's model
parameters $C_{\alpha}$ and $\alpha$ not only have significant impacts on the
phase transition, but also affect the conductivity pseudo-gap and the strength
of conductivity fluctuations. Moreover, the effects of these parameters on a
system will be gradually reduced as the imbalance grows. We also find that the
influence of $\alpha$ on the amplitude of conductivity fluctuations depends on
the magnitude of the both $C_{\alpha}$ and $\delta\mu/\mu$ in the electric and
thermal conductivity cases. This results in that increasing $\alpha$ can damp
the conductivity fluctuations of an unbalanced system in contrast to balanced
ones.
|
[
{
"created": "Wed, 8 Aug 2018 05:18:02 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2018 08:25:39 GMT",
"version": "v2"
}
] |
2018-12-19
|
[
[
"Hafshejani",
"Ahmad Jamali",
""
],
[
"Mansoori",
"Seyed Ali Hosseini",
""
]
] |
We numerically investigate some properties of unbalanced St\"{u}ckelberg holographic superconductors, by considering backreaction effects of fields on the background geometry. More precisely, we study the impacts of the chemical potential mismatch and St\"{u}ckelberg mechanism on the condensation and conductivity types (electrical, spin, mixed, thermo-electric, thermo-spin and thermal conductivity). Our results show that the St\"{u}ckelberg's model parameters $C_{\alpha}$ and $\alpha$ not only have significant impacts on the phase transition, but also affect the conductivity pseudo-gap and the strength of conductivity fluctuations. Moreover, the effects of these parameters on a system will be gradually reduced as the imbalance grows. We also find that the influence of $\alpha$ on the amplitude of conductivity fluctuations depends on the magnitude of the both $C_{\alpha}$ and $\delta\mu/\mu$ in the electric and thermal conductivity cases. This results in that increasing $\alpha$ can damp the conductivity fluctuations of an unbalanced system in contrast to balanced ones.
| 9.380301
| 10.125116
| 8.848174
| 9.044296
| 9.454592
| 9.193883
| 9.33009
| 9.295335
| 8.84025
| 9.802307
| 8.813205
| 9.131161
| 9.412697
| 8.971702
| 8.972399
| 9.060317
| 9.301196
| 8.987786
| 9.083638
| 9.350568
| 9.256201
|
2202.04079
|
Mukund Rangamani
|
Temple He, R. Loganayagam, Mukund Rangamani, Akhil Sivakumar, Julio
Virrueta
|
The timbre of Hawking gravitons: an effective description of energy
transport from holography
|
29 pages + appendices. v2: minor improvements and fixed typos
| null |
10.1007/JHEP09(2022)092
| null |
hep-th cond-mat.stat-mech gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Planar black holes in AdS, which are holographically dual to compressible
relativistic fluids, have a long-lived phonon mode that captures the physics of
attenuated sound propagation and transports energy in the plasma. We describe
the open effective field theory of this fluctuating phonon degree of freedom.
The dynamics of the phonon is encoded in a single scalar field whose
gravitational coupling has non-trivial spatial momentum dependence. This
description fits neatly into the paradigm of classifying gravitational modes by
their Markovianity index, depending on whether they are long-lived. The sound
scalar is a non-Markovian field with index (3-d) for a d-dimensional fluid. We
reproduce (and extend) the dispersion relation of the holographic sound mode to
quartic order in derivatives, constructing in the process the effective field
theory governing its attenuated dynamics and associated stochastic
fluctuations. We also remark on the presence of additional spatially
homogeneous zero modes in the gravitational problem, which remain disconnected
from the phonon Goldstone mode.
|
[
{
"created": "Tue, 8 Feb 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Apr 2022 20:56:26 GMT",
"version": "v2"
}
] |
2022-09-28
|
[
[
"He",
"Temple",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Sivakumar",
"Akhil",
""
],
[
"Virrueta",
"Julio",
""
]
] |
Planar black holes in AdS, which are holographically dual to compressible relativistic fluids, have a long-lived phonon mode that captures the physics of attenuated sound propagation and transports energy in the plasma. We describe the open effective field theory of this fluctuating phonon degree of freedom. The dynamics of the phonon is encoded in a single scalar field whose gravitational coupling has non-trivial spatial momentum dependence. This description fits neatly into the paradigm of classifying gravitational modes by their Markovianity index, depending on whether they are long-lived. The sound scalar is a non-Markovian field with index (3-d) for a d-dimensional fluid. We reproduce (and extend) the dispersion relation of the holographic sound mode to quartic order in derivatives, constructing in the process the effective field theory governing its attenuated dynamics and associated stochastic fluctuations. We also remark on the presence of additional spatially homogeneous zero modes in the gravitational problem, which remain disconnected from the phonon Goldstone mode.
| 15.096401
| 14.169683
| 15.408409
| 14.158483
| 13.900938
| 13.129004
| 13.676356
| 13.256521
| 13.869135
| 17.310879
| 13.64585
| 13.60061
| 14.240816
| 13.449499
| 13.780148
| 14.167633
| 13.771507
| 13.608637
| 13.605765
| 14.324914
| 13.656132
|
hep-th/0412006
|
Andrei Micu
|
Thomas House, Andrei Micu
|
M-theory Compactifications on Manifolds with G2 Structure
|
34 pages. Minor changes: typos corrected, references added. Version
to appear in Class. Quantum Grav
|
Class.Quant.Grav. 22 (2005) 1709-1738
|
10.1088/0264-9381/22/9/016
| null |
hep-th
| null |
In this paper we study M-theory compactifications on manifolds of G2
structure. By computing the gravitino mass term in four dimensions we derive
the general form for the superpotential which appears in such compactifications
and show that beside the normal flux term there is a term which appears only
for non-minimal G2 structure. We further apply these results to
compactifications on manifolds with weak G2 holonomy and make a couple of
statements regarding the deformation space of such manifolds. Finally we show
that the superpotential derived from fermionic terms leads to the potential
that can be derived from the explicit compactification, thus strengthening the
conjectures we make about the space of deformations of manifolds with weak G2
holonomy.
|
[
{
"created": "Wed, 1 Dec 2004 20:27:54 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Apr 2005 09:20:31 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"House",
"Thomas",
""
],
[
"Micu",
"Andrei",
""
]
] |
In this paper we study M-theory compactifications on manifolds of G2 structure. By computing the gravitino mass term in four dimensions we derive the general form for the superpotential which appears in such compactifications and show that beside the normal flux term there is a term which appears only for non-minimal G2 structure. We further apply these results to compactifications on manifolds with weak G2 holonomy and make a couple of statements regarding the deformation space of such manifolds. Finally we show that the superpotential derived from fermionic terms leads to the potential that can be derived from the explicit compactification, thus strengthening the conjectures we make about the space of deformations of manifolds with weak G2 holonomy.
| 7.85633
| 7.442364
| 9.284996
| 7.80292
| 7.421847
| 8.167887
| 7.46351
| 7.24019
| 7.576845
| 8.863977
| 7.510114
| 7.487571
| 7.967238
| 7.619558
| 7.569294
| 7.616881
| 7.379974
| 7.37902
| 7.411974
| 7.977911
| 7.521324
|
1506.09017
|
Dietmar Klemm
|
Dietmar Klemm, Masato Nozawa and Marco Rabbiosi
|
On the integrability of Einstein-Maxwell-(A)dS gravity in presence of
Killing vectors
|
24 pages, uses jheppub.sty. v2: Final version to be published in CQG
| null |
10.1088/0264-9381/32/20/205008
|
IFUM-1039-FT
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study some symmetry and integrability properties of four-dimensional
Einstein-Maxwell gravity with nonvanishing cosmological constant in the
presence of Killing vectors. First of all, we consider stationary spacetimes,
which lead, after a timelike Kaluza-Klein reduction followed by a dualization
of the two vector fields, to a three-dimensional nonlinear sigma model coupled
to gravity, whose target space is a noncompact version of
$\mathbb{C}\text{P}^2$ with SU(2,1) isometry group. It is shown that the
potential for the scalars, that arises from the cosmological constant in four
dimensions, breaks three of the eight SU(2,1) symmetries, corresponding to the
generalized Ehlers and the two Harrison transformations. This leaves a
semidirect product of a one-dimensional Heisenberg group and a translation
group $\mathbb{R}^2$ as residual symmetry. We show that, under the additional
assumptions that the three-dimensional manifold is conformal to a product space
$\mathbb{R}\times\Sigma$, and all fields depend only on the coordinate along
$\mathbb{R}$, the equations of motion are integrable. This generalizes the
results of Leigh et al. in arXiv:1403.6511 to the case where also
electromagnetic fields are present. In the second part of the paper we consider
the purely gravitational spacetime admitting a second Killing vector that
commutes with the timelike one. We write down the resulting two-dimensional
action and discuss its symmetries. If the fields depend only on one of the two
coordinates, the equations of motion are again integrable, and the solution
turns out to be one constructed by Krasinski many years ago.
|
[
{
"created": "Tue, 30 Jun 2015 10:08:38 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2015 13:22:52 GMT",
"version": "v2"
}
] |
2015-10-07
|
[
[
"Klemm",
"Dietmar",
""
],
[
"Nozawa",
"Masato",
""
],
[
"Rabbiosi",
"Marco",
""
]
] |
We study some symmetry and integrability properties of four-dimensional Einstein-Maxwell gravity with nonvanishing cosmological constant in the presence of Killing vectors. First of all, we consider stationary spacetimes, which lead, after a timelike Kaluza-Klein reduction followed by a dualization of the two vector fields, to a three-dimensional nonlinear sigma model coupled to gravity, whose target space is a noncompact version of $\mathbb{C}\text{P}^2$ with SU(2,1) isometry group. It is shown that the potential for the scalars, that arises from the cosmological constant in four dimensions, breaks three of the eight SU(2,1) symmetries, corresponding to the generalized Ehlers and the two Harrison transformations. This leaves a semidirect product of a one-dimensional Heisenberg group and a translation group $\mathbb{R}^2$ as residual symmetry. We show that, under the additional assumptions that the three-dimensional manifold is conformal to a product space $\mathbb{R}\times\Sigma$, and all fields depend only on the coordinate along $\mathbb{R}$, the equations of motion are integrable. This generalizes the results of Leigh et al. in arXiv:1403.6511 to the case where also electromagnetic fields are present. In the second part of the paper we consider the purely gravitational spacetime admitting a second Killing vector that commutes with the timelike one. We write down the resulting two-dimensional action and discuss its symmetries. If the fields depend only on one of the two coordinates, the equations of motion are again integrable, and the solution turns out to be one constructed by Krasinski many years ago.
| 5.684955
| 5.971087
| 6.102316
| 5.685727
| 5.890906
| 5.969724
| 5.803774
| 5.604517
| 5.830151
| 6.244771
| 5.710349
| 5.550941
| 5.648472
| 5.538908
| 5.714634
| 5.619521
| 5.721016
| 5.617204
| 5.612101
| 5.655697
| 5.755447
|
hep-th/9811210
|
Jorge Ananias Neto
|
Jorge Ananias Neto and Wilson Oliveira(Departamento de Fisica,
Universidade Federal de Juiz de Fora, Brazil)
|
Does the Weyl ordering prescription lead to the correct energy levels
for the quantum particle on the D-dimensional sphere ?
|
Revised version. To appear in Int.Jour.Mod.Phys.A
|
Int.J.Mod.Phys. A14 (1999) 3699-3713
| null |
DF/UFJF-98-04
|
hep-th
| null |
The energy eigenvalues of the quantum particle constrained in a surface of
the sphere of D dimensions embedded in a $R^{D+1}$ space are obtained by using
two different procedures: in the first, we derive the Hamiltonian operator by
squaring the expression of the momentum, written in cartesian components, which
satisfies the Dirac brackets between the canonical operators of this second
class system. We use the Weyl ordering prescription to construct the Hermitian
operators. When D=2 we verify that there is no constant parameter in the
expression of the eigenvalues energy, a result that is in agreement with the
fact that an extra term would change the level spacings in the hydrogen atom;
in the second procedure it is adopted the non-abelian BFFT formalism to convert
the second class constraints into first class ones. The non-abelian first class
Hamiltonian operator is symmetrized by also using the Weyl ordering rule. We
observe that their energy eigenvalues differ from a constant parameter when we
compare with the second class system. Thus, a conversion of the D-dimensional
sphere second class system for a first class one does not reproduce the same
values.
|
[
{
"created": "Tue, 24 Nov 1998 16:27:27 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Mar 1999 16:24:16 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Neto",
"Jorge Ananias",
"",
"Departamento de Fisica,\n Universidade Federal de Juiz de Fora, Brazil"
],
[
"Oliveira",
"Wilson",
"",
"Departamento de Fisica,\n Universidade Federal de Juiz de Fora, Brazil"
]
] |
The energy eigenvalues of the quantum particle constrained in a surface of the sphere of D dimensions embedded in a $R^{D+1}$ space are obtained by using two different procedures: in the first, we derive the Hamiltonian operator by squaring the expression of the momentum, written in cartesian components, which satisfies the Dirac brackets between the canonical operators of this second class system. We use the Weyl ordering prescription to construct the Hermitian operators. When D=2 we verify that there is no constant parameter in the expression of the eigenvalues energy, a result that is in agreement with the fact that an extra term would change the level spacings in the hydrogen atom; in the second procedure it is adopted the non-abelian BFFT formalism to convert the second class constraints into first class ones. The non-abelian first class Hamiltonian operator is symmetrized by also using the Weyl ordering rule. We observe that their energy eigenvalues differ from a constant parameter when we compare with the second class system. Thus, a conversion of the D-dimensional sphere second class system for a first class one does not reproduce the same values.
| 11.170106
| 11.025254
| 11.382719
| 9.796759
| 11.573722
| 10.66023
| 10.258576
| 10.323064
| 10.086359
| 13.620611
| 10.404634
| 10.868162
| 11.251139
| 10.555887
| 10.664557
| 10.768325
| 10.717702
| 10.522804
| 10.384501
| 10.926517
| 10.444699
|
2307.03150
|
Dmitry Galakhov
|
Dmitry Galakhov, Alexei Morozov and Nikita Tselousov
|
Super-Schur Polynomials for Affine Super Yangian
$\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$
|
27 pages, 3 figures
|
JHEP08(2023)049
|
10.1007/JHEP08(2023)049
| null |
hep-th math-ph math.AG math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explicitly construct cut-and-join operators and their eigenfunctions --
the Super-Schur functions -- for the case of the affine super-Yangian
$\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. This is the simplest non-trivial
(semi-Fock) representation, where eigenfunctions are labeled by the
superanalogue of 2d Young diagrams, and depend on the supertime variables
$(p_k,\theta_k)$. The action of other generators on diagrams is described by
the analogue of the Pieri rule. As well we present generalizations of the hook
formula for the measure on super-Young diagrams and of the Cauchy formula. Also
a discussion of string theory origins for these relations is provided.
|
[
{
"created": "Thu, 6 Jul 2023 17:25:01 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Aug 2023 15:19:23 GMT",
"version": "v2"
}
] |
2023-08-15
|
[
[
"Galakhov",
"Dmitry",
""
],
[
"Morozov",
"Alexei",
""
],
[
"Tselousov",
"Nikita",
""
]
] |
We explicitly construct cut-and-join operators and their eigenfunctions -- the Super-Schur functions -- for the case of the affine super-Yangian $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. This is the simplest non-trivial (semi-Fock) representation, where eigenfunctions are labeled by the superanalogue of 2d Young diagrams, and depend on the supertime variables $(p_k,\theta_k)$. The action of other generators on diagrams is described by the analogue of the Pieri rule. As well we present generalizations of the hook formula for the measure on super-Young diagrams and of the Cauchy formula. Also a discussion of string theory origins for these relations is provided.
| 12.631836
| 12.78464
| 14.132611
| 12.433867
| 13.427692
| 13.040948
| 12.197506
| 11.792391
| 11.278388
| 15.862904
| 11.880418
| 11.391449
| 12.867588
| 11.570367
| 11.859563
| 11.79425
| 11.567418
| 11.925804
| 11.236483
| 13.142697
| 11.178976
|
1412.2003
|
David Tong
|
Mike Blake, Aristomenis Donos and David Tong
|
Holographic Charge Oscillations
|
15 pages + appendix, 13 figures
| null |
10.1007/JHEP04(2015)019
|
DAMTP 2014-89, DCPT-14/71
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Reissner-Nordstrom black hole provides the prototypical description of a
holographic system at finite density. We study the response of this system to
the presence of a local, charged impurity. Below a critical temperature, the
induced charge density, which screens the impurity, exhibits oscillations.
These oscillations can be traced to the singularities in the density-density
correlation function moving in the complex momentum plane. At finite
temperature, the oscillations are very similar to the Friedel oscillations seen
in Fermi liquids. However, at zero temperature the oscillations in the black
hole background remain exponentially damped, while Friedel oscillations relax
to a power-law
|
[
{
"created": "Fri, 5 Dec 2014 14:12:47 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Blake",
"Mike",
""
],
[
"Donos",
"Aristomenis",
""
],
[
"Tong",
"David",
""
]
] |
The Reissner-Nordstrom black hole provides the prototypical description of a holographic system at finite density. We study the response of this system to the presence of a local, charged impurity. Below a critical temperature, the induced charge density, which screens the impurity, exhibits oscillations. These oscillations can be traced to the singularities in the density-density correlation function moving in the complex momentum plane. At finite temperature, the oscillations are very similar to the Friedel oscillations seen in Fermi liquids. However, at zero temperature the oscillations in the black hole background remain exponentially damped, while Friedel oscillations relax to a power-law
| 7.180362
| 7.039144
| 7.489599
| 6.528591
| 6.507029
| 6.725785
| 6.989483
| 6.591398
| 6.80282
| 6.916306
| 6.543357
| 6.367667
| 7.123244
| 6.718257
| 6.686079
| 6.699436
| 6.662613
| 6.443636
| 6.711895
| 6.694721
| 6.616896
|
1702.04134
|
Aradhya Shukla
|
R. Kumar and A. Shukla
|
Christ-Lee Model: Augmented Supervariable Approach
|
LaTeX file, 18 pages, no figures, typos fixed, version to appear in
Advances in High Energy Physics (2018)
|
Advances in High Energy Physics 2018, 7381387 (2018)
|
10.1155/2018/7381387
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the complete set of off-shell nilpotent and absolutely
anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations
for the gauge-invariant Christ-Lee model by exploiting the celebrated
(dual-)horizontality conditions together with the gauge-invariant and
(anti-)co-BRST invariant restrictions within the framework of geometrical
"augmented" supervariable approach to BRST formalism. We show the (anti-) BRST
and (anti-)co-BRST invariances of the Lagrangian in the context of
supervariable approach. We also provide the geometrical origin and capture the
key properties associated with the (anti-)BRST and (anti-)co-BRST symmetry
transformations (and corresponding conserved charges) in terms of the
supervariables and Grassmannian translational generators.
|
[
{
"created": "Tue, 14 Feb 2017 09:57:04 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Mar 2018 11:19:34 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Oct 2018 07:58:38 GMT",
"version": "v3"
}
] |
2018-10-16
|
[
[
"Kumar",
"R.",
""
],
[
"Shukla",
"A.",
""
]
] |
We derive the complete set of off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations for the gauge-invariant Christ-Lee model by exploiting the celebrated (dual-)horizontality conditions together with the gauge-invariant and (anti-)co-BRST invariant restrictions within the framework of geometrical "augmented" supervariable approach to BRST formalism. We show the (anti-) BRST and (anti-)co-BRST invariances of the Lagrangian in the context of supervariable approach. We also provide the geometrical origin and capture the key properties associated with the (anti-)BRST and (anti-)co-BRST symmetry transformations (and corresponding conserved charges) in terms of the supervariables and Grassmannian translational generators.
| 5.746211
| 3.653124
| 7.104946
| 4.049948
| 4.080298
| 3.847124
| 4.175268
| 3.790333
| 4.071538
| 7.217538
| 4.056967
| 4.877738
| 6.320489
| 5.001893
| 4.812809
| 4.746441
| 4.835114
| 4.919901
| 4.876627
| 6.220119
| 5.145789
|
2402.04308
|
Toby Wiseman
|
Xiaoyi Liu, Jorge E. Santos, Toby Wiseman
|
New Well-Posed Boundary Conditions for Semi-Classical Euclidean Gravity
|
45+30 pages, 20 figures; v2 references added
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider four-dimensional Euclidean gravity in a finite cavity. Dirichlet
conditions do not yield a well-posed elliptic system, and Anderson has
suggested boundary conditions that do. Here we point out that there exists a
one-parameter family of boundary conditions, parameterized by a constant $p$,
where a suitably Weyl rescaled boundary metric is fixed, and all give a
well-posed elliptic system. Anderson and Dirichlet boundary conditions can be
seen as the limits $p \to 0$ and $\infty$ of these. Focussing on static
Euclidean solutions, we derive a thermodynamic first law. Restricting to a
spherical spatial boundary, the infillings are flat space or the Schwarzschild
solution, and have similar thermodynamics to the Dirichlet case. We consider
smooth Euclidean fluctuations about the flat space saddle; for $p > 1/6$ the
spectrum of the Lichnerowicz operator is stable -- its eigenvalues have
positive real part. Thus we may regard large $p$ as a regularization of the
ill-posed Dirichlet boundary conditions. However for $p < 1/6$ there are
unstable modes, even in the spherically symmetric and static sector. We then
turn to Lorentzian signature. For $p < 1/6$ we may understand this spherical
Euclidean instability as being paired with a Lorentzian instability associated
with the dynamics of the boundary itself. However, a mystery emerges when we
consider perturbations that break spherical symmetry. Here we find a plethora
of dynamically unstable modes even for $p > 1/6$, contrasting starkly with the
Euclidean stability we found. Thus we seemingly obtain a system with stable
thermodynamics, but unstable dynamics, calling into question the standard
assumption of smoothness that we have implemented when discussing the Euclidean
theory.
|
[
{
"created": "Tue, 6 Feb 2024 19:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Apr 2024 17:41:57 GMT",
"version": "v2"
}
] |
2024-04-05
|
[
[
"Liu",
"Xiaoyi",
""
],
[
"Santos",
"Jorge E.",
""
],
[
"Wiseman",
"Toby",
""
]
] |
We consider four-dimensional Euclidean gravity in a finite cavity. Dirichlet conditions do not yield a well-posed elliptic system, and Anderson has suggested boundary conditions that do. Here we point out that there exists a one-parameter family of boundary conditions, parameterized by a constant $p$, where a suitably Weyl rescaled boundary metric is fixed, and all give a well-posed elliptic system. Anderson and Dirichlet boundary conditions can be seen as the limits $p \to 0$ and $\infty$ of these. Focussing on static Euclidean solutions, we derive a thermodynamic first law. Restricting to a spherical spatial boundary, the infillings are flat space or the Schwarzschild solution, and have similar thermodynamics to the Dirichlet case. We consider smooth Euclidean fluctuations about the flat space saddle; for $p > 1/6$ the spectrum of the Lichnerowicz operator is stable -- its eigenvalues have positive real part. Thus we may regard large $p$ as a regularization of the ill-posed Dirichlet boundary conditions. However for $p < 1/6$ there are unstable modes, even in the spherically symmetric and static sector. We then turn to Lorentzian signature. For $p < 1/6$ we may understand this spherical Euclidean instability as being paired with a Lorentzian instability associated with the dynamics of the boundary itself. However, a mystery emerges when we consider perturbations that break spherical symmetry. Here we find a plethora of dynamically unstable modes even for $p > 1/6$, contrasting starkly with the Euclidean stability we found. Thus we seemingly obtain a system with stable thermodynamics, but unstable dynamics, calling into question the standard assumption of smoothness that we have implemented when discussing the Euclidean theory.
| 9.344438
| 10.348199
| 9.264359
| 9.022118
| 9.862805
| 9.669528
| 10.384092
| 9.31544
| 8.899795
| 10.045934
| 8.948538
| 8.995197
| 8.995086
| 8.679025
| 8.934308
| 8.61414
| 8.922606
| 8.822942
| 8.805837
| 9.007896
| 8.677794
|
hep-th/9611007
|
Alok Kumar
|
Alok Kumar and Cumrun Vafa
|
U-Manifolds
|
11 pages, minor changes in references and text (version to appear in
Phys. Lett. B)
|
Phys.Lett. B396 (1997) 85-90
|
10.1016/S0370-2693(97)00108-1
|
HUTP-96/A049, IP/BBSR/96-48
|
hep-th
| null |
We use non-perturbative U-duality symmetries of type II strings to construct
new vacuum solutions. In some ways this generalizes the F-theory vacuum
constructions. We find the possibilities of new vacuum constructions are very
limited. Among them we construct new theories with N=2 supersymmetry in
3-dimensions and (1, 1) supersymmetry in 2-dimensions.
|
[
{
"created": "Fri, 1 Nov 1996 07:17:25 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 1997 07:10:13 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Kumar",
"Alok",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We use non-perturbative U-duality symmetries of type II strings to construct new vacuum solutions. In some ways this generalizes the F-theory vacuum constructions. We find the possibilities of new vacuum constructions are very limited. Among them we construct new theories with N=2 supersymmetry in 3-dimensions and (1, 1) supersymmetry in 2-dimensions.
| 10.523314
| 9.23525
| 10.285233
| 9.574767
| 9.218242
| 8.040602
| 9.153509
| 8.108712
| 9.383252
| 11.003602
| 8.770644
| 9.335299
| 10.305656
| 9.376402
| 8.890244
| 9.134595
| 9.402708
| 8.962849
| 8.931224
| 9.607469
| 9.03185
|
hep-th/9208001
|
Itzhak Bars
|
I. Bars and K. Sfetsos
|
$SL(2,R)xSU(2)/R^2$ string model in curved spacetime and exact conformal
results
|
USC-92/HEP-B3, 13 pages and 1 figure
|
Phys.Lett. B301 (1993) 183-190
|
10.1016/0370-2693(93)90686-C
| null |
hep-th
| null |
Pursuing further the recent methods in the algebraic Hamiltonian approach to
gauged WZW models, we apply them to the bosonic SL(2,R) X SU(2)/R^2 model
recently investigated by Nappi and Witten. We find the global space and compute
the conformally exact metric and dilaton fields to all orders in the $1/k$
expansion. The semiclassical limit $k',k\to \infty$ of our exact results agree
with the lowest order perturbation computation which was done in the Lagrangian
formalism. We also discuss the supersymmetric type-II and heterotic versions of
this model and verify the non-renormalization of $e^\Phi\sqrt{-G}$.
|
[
{
"created": "Sun, 2 Aug 1992 04:49:41 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bars",
"I.",
""
],
[
"Sfetsos",
"K.",
""
]
] |
Pursuing further the recent methods in the algebraic Hamiltonian approach to gauged WZW models, we apply them to the bosonic SL(2,R) X SU(2)/R^2 model recently investigated by Nappi and Witten. We find the global space and compute the conformally exact metric and dilaton fields to all orders in the $1/k$ expansion. The semiclassical limit $k',k\to \infty$ of our exact results agree with the lowest order perturbation computation which was done in the Lagrangian formalism. We also discuss the supersymmetric type-II and heterotic versions of this model and verify the non-renormalization of $e^\Phi\sqrt{-G}$.
| 11.543078
| 10.165996
| 13.099436
| 9.827744
| 9.4252
| 9.041513
| 9.590556
| 8.931835
| 9.424531
| 12.561424
| 9.865047
| 10.109159
| 10.744472
| 10.020188
| 9.864746
| 9.770156
| 9.986962
| 10.056979
| 9.824007
| 11.37035
| 9.946262
|
1005.4412
|
Norihiro Iizuka
|
Koji Hashimoto, Norihiro Iizuka
|
Three-Body Nuclear Forces from a Matrix Model
|
25 pages. v2: references added
|
JHEP 1011:058,2010
|
10.1007/JHEP11(2010)058
|
CERN-PH-TH-2010-063, RIKEN-MP-2
|
hep-th hep-lat nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute three-body nuclear forces at short distances by using the nuclear
matrix model of holographic QCD proposed in our previous paper with P. Yi. We
find that the three-body forces at short distances are repulsive for (a)
aligned three neutrons with averaged spins, and (b) aligned
proton-proton-neutron / proton-neutron-neutron. These indicate that in dense
states of neutrons such as cores of neutron stars, or in Helium-3 / tritium
nucleus, the repulsive forces are larger than the ones estimated from two-body
forces only.
|
[
{
"created": "Mon, 24 May 2010 20:02:59 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 2010 12:43:14 GMT",
"version": "v2"
}
] |
2011-01-05
|
[
[
"Hashimoto",
"Koji",
""
],
[
"Iizuka",
"Norihiro",
""
]
] |
We compute three-body nuclear forces at short distances by using the nuclear matrix model of holographic QCD proposed in our previous paper with P. Yi. We find that the three-body forces at short distances are repulsive for (a) aligned three neutrons with averaged spins, and (b) aligned proton-proton-neutron / proton-neutron-neutron. These indicate that in dense states of neutrons such as cores of neutron stars, or in Helium-3 / tritium nucleus, the repulsive forces are larger than the ones estimated from two-body forces only.
| 11.138825
| 10.347731
| 11.510622
| 10.642316
| 10.880427
| 9.929646
| 10.400203
| 9.37229
| 10.545277
| 13.013417
| 9.486623
| 10.232644
| 10.743473
| 10.087603
| 9.991456
| 9.566251
| 9.846066
| 9.678699
| 10.30471
| 11.102757
| 9.784022
|
0905.2468
|
Jakob Palmkvist
|
Jakob Palmkvist
|
Three-algebras, triple systems and 3-graded Lie superalgebras
|
21 pages. v2: published version
|
J.Phys.A43:015205,2010
|
10.1088/1751-8113/43/1/015205
|
AEI-2009-046
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The three-algebras used by Bagger and Lambert in N=6 theories of ABJM type
are in one-to-one correspondence with a certain type of Lie superalgebras. We
show that the description of three-algebras as generalized Jordan triple
systems naturally leads to this correspondence. Furthermore, we show that
simple three-algebras correspond to simple Lie superalgebras, and vice versa.
This gives a classification of simple three-algebras from the well known
classification of simple Lie superalgebras.
|
[
{
"created": "Fri, 15 May 2009 19:30:45 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Dec 2009 21:47:40 GMT",
"version": "v2"
}
] |
2009-12-15
|
[
[
"Palmkvist",
"Jakob",
""
]
] |
The three-algebras used by Bagger and Lambert in N=6 theories of ABJM type are in one-to-one correspondence with a certain type of Lie superalgebras. We show that the description of three-algebras as generalized Jordan triple systems naturally leads to this correspondence. Furthermore, we show that simple three-algebras correspond to simple Lie superalgebras, and vice versa. This gives a classification of simple three-algebras from the well known classification of simple Lie superalgebras.
| 5.990295
| 4.699239
| 6.172317
| 4.825367
| 5.112153
| 4.520823
| 5.065456
| 5.360808
| 5.248422
| 6.150543
| 5.084192
| 4.855591
| 5.557376
| 4.982475
| 4.849564
| 5.002829
| 4.94768
| 4.812678
| 5.156449
| 5.435289
| 4.934552
|
hep-th/0506254
|
Cupatitzio Ram\'irez
|
J.C. Lopez-Dominguez, O. Obregon, C. Ramirez
|
Noncommutative 6D Gauge Higgs Unification Models
|
Latex file, 11 pages, 1 figure
|
Phys.Rev. D73 (2006) 095003
|
10.1103/PhysRevD.73.095003
|
FCFM-BUAP/05-20
|
hep-th
| null |
The influence of higher dimensions in noncommutative field theories is
considered. For this purpose, we analyze the bosonic sector of a recently
proposed 6 dimensional SU(3) orbifold model for the electroweak interactions.
The corresponding noncommutative theory is constructed by means of the
Seiberg-Witten map in 6D. We find in the reduced bosonic interactions in 4D
theory, couplings which are new with respect to other known 4D noncommutative
formulations of the Standard Model using the Seiberg-Witten map.
Phenomenological implications due to the noncommutativity of extra dimensions
are explored. In particular, assuming that the commutative model leads to the
standard model values, a bound -5.63 10^{-8} GeV^{-2}< theta <1.06
10^{-7}GeV^{-2} on the corresponding noncommutativity scale is derived from
current experimental constraints on the S and T oblique parameters. This bound
is used to predict a possibly significant impact of noncommutativity effects of
extra dimensions on the rare Higgs boson decay H-> gamma gamma.
|
[
{
"created": "Thu, 30 Jun 2005 03:21:25 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 2006 03:50:11 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Lopez-Dominguez",
"J. C.",
""
],
[
"Obregon",
"O.",
""
],
[
"Ramirez",
"C.",
""
]
] |
The influence of higher dimensions in noncommutative field theories is considered. For this purpose, we analyze the bosonic sector of a recently proposed 6 dimensional SU(3) orbifold model for the electroweak interactions. The corresponding noncommutative theory is constructed by means of the Seiberg-Witten map in 6D. We find in the reduced bosonic interactions in 4D theory, couplings which are new with respect to other known 4D noncommutative formulations of the Standard Model using the Seiberg-Witten map. Phenomenological implications due to the noncommutativity of extra dimensions are explored. In particular, assuming that the commutative model leads to the standard model values, a bound -5.63 10^{-8} GeV^{-2}< theta <1.06 10^{-7}GeV^{-2} on the corresponding noncommutativity scale is derived from current experimental constraints on the S and T oblique parameters. This bound is used to predict a possibly significant impact of noncommutativity effects of extra dimensions on the rare Higgs boson decay H-> gamma gamma.
| 7.116046
| 8.050713
| 6.75445
| 6.743946
| 6.975073
| 7.536283
| 6.872281
| 7.00531
| 6.58897
| 7.037714
| 7.389616
| 7.162789
| 6.765969
| 6.784147
| 7.044489
| 7.045259
| 7.130903
| 7.217866
| 6.843062
| 6.727826
| 7.031447
|
2312.01879
|
Soumya Adhikari
|
Soumya Adhikari and Bindusar Sahoo
|
N=2 conformal supergravity in five dimensions
|
23 pages. Some minor typos fixed. Some minor errors fixed. Final
published version
|
JHEP 07 (2024) 028
|
10.1007/JHEP07(2024)028
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
N=2 conformal supergravity in five dimensions is constructed via a systematic
off-shell reduction scheme from maximal conformal supergravity in six
dimensions which is (2,0). The dimensional reduction of the (2,0) Weyl
multiplet in six dimensions gives us the Weyl multiplet in five dimensions
which is a dilaton Weyl multiplet as it has a dilaton scalar. The dimensional
reduction of the (2,0) tensor multiplet in six dimensions gives us the N=2
vector multiplet in five dimensions coupled to conformal supergravity. We also
comment on Nahm's classification regarding the non-existence of an N=2
superconformal algebra in five dimensions and why it does not contradict the
existence of N=2 conformal supergravity in five dimensions that is constructed
in this paper.
|
[
{
"created": "Mon, 4 Dec 2023 13:22:04 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Dec 2023 06:12:30 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Jan 2024 12:38:54 GMT",
"version": "v3"
},
{
"created": "Mon, 8 Jan 2024 13:03:27 GMT",
"version": "v4"
},
{
"created": "Mon, 8 Jul 2024 12:47:02 GMT",
"version": "v5"
}
] |
2024-07-09
|
[
[
"Adhikari",
"Soumya",
""
],
[
"Sahoo",
"Bindusar",
""
]
] |
N=2 conformal supergravity in five dimensions is constructed via a systematic off-shell reduction scheme from maximal conformal supergravity in six dimensions which is (2,0). The dimensional reduction of the (2,0) Weyl multiplet in six dimensions gives us the Weyl multiplet in five dimensions which is a dilaton Weyl multiplet as it has a dilaton scalar. The dimensional reduction of the (2,0) tensor multiplet in six dimensions gives us the N=2 vector multiplet in five dimensions coupled to conformal supergravity. We also comment on Nahm's classification regarding the non-existence of an N=2 superconformal algebra in five dimensions and why it does not contradict the existence of N=2 conformal supergravity in five dimensions that is constructed in this paper.
| 4.950511
| 4.452731
| 5.197449
| 4.569309
| 4.567739
| 4.617473
| 4.397865
| 4.37608
| 4.617983
| 5.26607
| 4.220768
| 4.328706
| 4.637336
| 4.424929
| 4.313031
| 4.282515
| 4.384225
| 4.371814
| 4.275342
| 4.664435
| 4.351969
|
0912.2811
|
Masato Nozawa
|
Kei-ichi Maeda and Masato Nozawa
|
Black Hole in the Expanding Universe from Intersecting Branes
|
30 pages, 10 figures, 1 table; v2: minor modifications, typos
corrected, to appear in PRD
|
Phys.Rev.D81:044017,2010
|
10.1103/PhysRevD.81.044017
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study physical properties and global structures of a time-dependent,
spherically symmetric solution obtained via the dimensional reduction of
intersecting M-branes. We find that the spacetime describes a maximally charged
black hole which asymptotically tends to the
Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe filled by a stiff matter.
The metric solves the field equations of Einstein-Maxwell-dilaton system, in
which four Abelian gauge fields couple to the dilation with different coupling
constants. The spacetime satisfies the dominant energy condition and is
characterized by two parameters, $Q$ and $\tau$, related to the Maxwell charge
and the relative ratio of black-hole horizon radii, respectively. In spite of
the nontrivial time-dependence of the metric, it turns out that the black hole
event horizon is a Killing horizon. This unexpected symmetry may be ascribed to
the fact that the 11-dimensional (11D) brane configurations are supersymmetric
in the static limit. Finally, combining with laws of trapping horizon, we
discuss the thermodynamic properties of the black hole. It is shown that the
horizon possesses a nonvanishing temperature, contrary to the extremal
Reissner-Nordstr{\o}m (RN) solution.
|
[
{
"created": "Tue, 15 Dec 2009 08:29:33 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Feb 2010 05:13:08 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Maeda",
"Kei-ichi",
""
],
[
"Nozawa",
"Masato",
""
]
] |
We study physical properties and global structures of a time-dependent, spherically symmetric solution obtained via the dimensional reduction of intersecting M-branes. We find that the spacetime describes a maximally charged black hole which asymptotically tends to the Friedmann-Lema\^itre-Robertson-Walker (FLRW) universe filled by a stiff matter. The metric solves the field equations of Einstein-Maxwell-dilaton system, in which four Abelian gauge fields couple to the dilation with different coupling constants. The spacetime satisfies the dominant energy condition and is characterized by two parameters, $Q$ and $\tau$, related to the Maxwell charge and the relative ratio of black-hole horizon radii, respectively. In spite of the nontrivial time-dependence of the metric, it turns out that the black hole event horizon is a Killing horizon. This unexpected symmetry may be ascribed to the fact that the 11-dimensional (11D) brane configurations are supersymmetric in the static limit. Finally, combining with laws of trapping horizon, we discuss the thermodynamic properties of the black hole. It is shown that the horizon possesses a nonvanishing temperature, contrary to the extremal Reissner-Nordstr{\o}m (RN) solution.
| 7.3972
| 7.273641
| 7.210817
| 6.832412
| 7.31182
| 7.094089
| 7.19805
| 6.489582
| 7.019339
| 7.227063
| 7.071927
| 7.059622
| 6.988646
| 6.765561
| 7.018564
| 7.031497
| 7.022209
| 6.799902
| 6.994872
| 7.121174
| 6.817945
|
hep-th/0005130
|
Harold Blas
|
Harold Blas
|
Reduction of affine two-loop WZNW model, the Toda system coupled to the
matter and topological confinement
|
31 pages, LaTex
| null | null | null |
hep-th hep-ph nlin.SI
| null |
The conformal affine Toda model coupled to the matter field (CATM) is
obtained through a classical reduction of the $sl(2)^{(1)}$ affine two-loop
WZNW model. After spontaneously broken the conformal symmetry by means of BRST
analysis, we end up with an effective theory, the so called affine Toda model
coupled to the matter (ATM). Further, using a bosonization technique we recover
from this theory the sine-Gordon model plus a free massless scalar field. The
ATM model is considered as a QCD-motivated integrable field theory, since it
describes various features in the baryonic sector of the low-energy effective
Lagrangian of QCD in two dimensions with one flavor and two colors. Imposing
the equivalence of the Noether and topological currrents as a constraint, it is
shown that the intercharge ``quark''- ``anti-quark'' static potential reveals a
linear confinement behavior for large intercharge separation.
|
[
{
"created": "Mon, 15 May 2000 00:52:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Blas",
"Harold",
""
]
] |
The conformal affine Toda model coupled to the matter field (CATM) is obtained through a classical reduction of the $sl(2)^{(1)}$ affine two-loop WZNW model. After spontaneously broken the conformal symmetry by means of BRST analysis, we end up with an effective theory, the so called affine Toda model coupled to the matter (ATM). Further, using a bosonization technique we recover from this theory the sine-Gordon model plus a free massless scalar field. The ATM model is considered as a QCD-motivated integrable field theory, since it describes various features in the baryonic sector of the low-energy effective Lagrangian of QCD in two dimensions with one flavor and two colors. Imposing the equivalence of the Noether and topological currrents as a constraint, it is shown that the intercharge ``quark''- ``anti-quark'' static potential reveals a linear confinement behavior for large intercharge separation.
| 10.819309
| 9.386414
| 12.672666
| 9.461936
| 9.758549
| 10.256641
| 9.909548
| 9.065464
| 9.422397
| 12.821955
| 9.531243
| 10.046677
| 10.587598
| 10.225123
| 10.243143
| 10.11976
| 9.905197
| 9.991163
| 9.915489
| 10.909674
| 10.015985
|
1910.12495
|
Mihai Visinescu
|
Mihai Visinescu
|
Sasaki-Ricci flow equation on five-dimensional Sasaki-Einstein space
$Y^{p,q}$
|
12 pages
|
Mod. Phys. Lett. A 35 (2020) 2050114
|
10.1142/S021773232050114X
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the transverse K\"{a}hler-Ricci flow equation on Sasaki-Ein\-stein
space $Y^{p,q}$. Explicit solutions are produced representing new
five-dimensional Sasaki structures. Solutions which do not modify the
transverse metric preserve the Sasaki-Einstein feature of the contact
structure. If the transverse metric is altered, the deformed metrics remain
Sasaki, but not Einstein.
|
[
{
"created": "Mon, 28 Oct 2019 08:25:22 GMT",
"version": "v1"
}
] |
2020-06-11
|
[
[
"Visinescu",
"Mihai",
""
]
] |
We analyze the transverse K\"{a}hler-Ricci flow equation on Sasaki-Ein\-stein space $Y^{p,q}$. Explicit solutions are produced representing new five-dimensional Sasaki structures. Solutions which do not modify the transverse metric preserve the Sasaki-Einstein feature of the contact structure. If the transverse metric is altered, the deformed metrics remain Sasaki, but not Einstein.
| 15.504061
| 16.020601
| 16.685104
| 13.659453
| 15.168818
| 16.023024
| 14.126563
| 13.634637
| 15.014306
| 19.135527
| 13.900889
| 13.746209
| 14.853156
| 14.752111
| 13.372999
| 13.427676
| 14.081139
| 14.26245
| 15.044144
| 14.809981
| 14.057185
|
hep-th/9303092
| null |
S. P. Tsarev
|
Classical differential geometry and integrability of systems of
hydrodynamic type
|
12 pages. To be published in: Proc. NATO ARW "Applications of
analytic and geometric methods to nonlinear differential equations, 14-19
July 1992, Exeter, UK)
| null | null | null |
hep-th math.DG
| null |
Remarkable parallelism between the theory of integrable systems of
first-order quasilinear PDE and some old results in projective and affine
differential geometry of conjugate nets, Laplace equations, their
Bianchi-Baecklund transformations is exposed.
These results were recently applied by I.M.Krichever and B.A.Dubrovin to
prove integrability of some models in topological field theories. Within the
geometric framework we derive some new integrable (in a sense to be discussed)
generalizations describing N-wave resonant interactions.
|
[
{
"created": "Tue, 16 Mar 1993 10:03:04 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Tsarev",
"S. P.",
""
]
] |
Remarkable parallelism between the theory of integrable systems of first-order quasilinear PDE and some old results in projective and affine differential geometry of conjugate nets, Laplace equations, their Bianchi-Baecklund transformations is exposed. These results were recently applied by I.M.Krichever and B.A.Dubrovin to prove integrability of some models in topological field theories. Within the geometric framework we derive some new integrable (in a sense to be discussed) generalizations describing N-wave resonant interactions.
| 13.011616
| 15.98223
| 14.017035
| 13.639924
| 15.697245
| 18.500286
| 16.943558
| 14.643575
| 14.536087
| 18.502928
| 13.755563
| 12.461514
| 12.043119
| 11.319582
| 12.122515
| 12.429814
| 11.994359
| 12.202976
| 11.823239
| 12.105184
| 12.452684
|
hep-th/0505154
|
R Loll
|
J. Ambjorn (NBI Copenhagen and U. Utrecht), J. Jurkiewicz (U. Krakow),
R. Loll (U. Utrecht)
|
Reconstructing the Universe
|
52 pages, 20 postscript figures, added references
|
Phys.Rev.D72:064014,2005
|
10.1103/PhysRevD.72.064014
|
SPIN-05/14, ITP-UU-05/18
|
hep-th gr-qc hep-lat
| null |
We provide detailed evidence for the claim that nonperturbative quantum
gravity, defined through state sums of causal triangulated geometries,
possesses a large-scale limit in which the dimension of spacetime is four and
the dynamics of the volume of the universe behaves semiclassically. This is a
first step in reconstructing the universe from a dynamical principle at the
Planck scale, and at the same time provides a nontrivial consistency check of
the method of causal dynamical triangulations. A closer look at the quantum
geometry reveals a number of highly nonclassical aspects, including a dynamical
reduction of spacetime to two dimensions on short scales and a fractal
structure of slices of constant time.
|
[
{
"created": "Tue, 17 May 2005 20:55:58 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jun 2005 21:03:57 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Ambjorn",
"J.",
"",
"NBI Copenhagen and U. Utrecht"
],
[
"Jurkiewicz",
"J.",
"",
"U. Krakow"
],
[
"Loll",
"R.",
"",
"U. Utrecht"
]
] |
We provide detailed evidence for the claim that nonperturbative quantum gravity, defined through state sums of causal triangulated geometries, possesses a large-scale limit in which the dimension of spacetime is four and the dynamics of the volume of the universe behaves semiclassically. This is a first step in reconstructing the universe from a dynamical principle at the Planck scale, and at the same time provides a nontrivial consistency check of the method of causal dynamical triangulations. A closer look at the quantum geometry reveals a number of highly nonclassical aspects, including a dynamical reduction of spacetime to two dimensions on short scales and a fractal structure of slices of constant time.
| 8.49301
| 8.51809
| 9.31848
| 8.079275
| 8.901836
| 8.331045
| 8.928003
| 8.225235
| 7.904504
| 9.814065
| 8.146674
| 8.681193
| 8.586617
| 8.343525
| 8.508039
| 8.173637
| 8.121606
| 8.425466
| 8.305501
| 8.781675
| 8.131269
|
2306.08030
|
Junggi Yoon
|
Kyung-Sun Lee and Junggi Yoon
|
$T\overline{T}$ Deformation of $\mathcal{N}=(1,1)$ Off-Shell
Supersymmetry and Partially Broken Supersymmetry
|
17 pages; v2: reference added; v3: reference added, major revision
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the superaction for the $T\overline{T}$ deformation of 2D free
$\mathcal{N}=(1,1)$ supersymmetric model with a deformed superfield. We show
that the $\mathcal{N}=(1,1)$ off-shell supersymmetry in the free theory is
deformed under the $T\overline{T}$ deformation, which is incorporated in the
deformed superfield. We interpret this superaction as an effective action of
the Goldstone superfield for the partial spontaneous breaking of
$\mathcal{N}=(2,2)$ supersymmetry to $\mathcal{N}=(1,1)$. We show that the
unbroken and broken supersymmetry of the effective superaction corresponds to
the off-shell $\mathcal{N}=(1,1)$ supersymmetry and the off-shell fermi global
non-linear symmetry in the $T\overline{T}$-deformed theory, respectively. We
demonstrate that this effective superaction can be obtained by the non-linear
realization of the partially broken global supersymmetry~(PBGS) from the coset
superspace. Furthermore, we reproduce the superaction by the constrained
superfield method accompanied by a field redefinition.
|
[
{
"created": "Tue, 13 Jun 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2023 07:35:39 GMT",
"version": "v2"
},
{
"created": "Sat, 16 Mar 2024 09:03:04 GMT",
"version": "v3"
}
] |
2024-03-19
|
[
[
"Lee",
"Kyung-Sun",
""
],
[
"Yoon",
"Junggi",
""
]
] |
We construct the superaction for the $T\overline{T}$ deformation of 2D free $\mathcal{N}=(1,1)$ supersymmetric model with a deformed superfield. We show that the $\mathcal{N}=(1,1)$ off-shell supersymmetry in the free theory is deformed under the $T\overline{T}$ deformation, which is incorporated in the deformed superfield. We interpret this superaction as an effective action of the Goldstone superfield for the partial spontaneous breaking of $\mathcal{N}=(2,2)$ supersymmetry to $\mathcal{N}=(1,1)$. We show that the unbroken and broken supersymmetry of the effective superaction corresponds to the off-shell $\mathcal{N}=(1,1)$ supersymmetry and the off-shell fermi global non-linear symmetry in the $T\overline{T}$-deformed theory, respectively. We demonstrate that this effective superaction can be obtained by the non-linear realization of the partially broken global supersymmetry~(PBGS) from the coset superspace. Furthermore, we reproduce the superaction by the constrained superfield method accompanied by a field redefinition.
| 5.043603
| 4.895817
| 5.350161
| 4.702956
| 4.955748
| 4.985917
| 4.766504
| 4.669048
| 4.592782
| 5.532655
| 4.517586
| 4.663215
| 5.052209
| 4.710649
| 4.799329
| 4.497917
| 4.624533
| 4.49613
| 4.681936
| 4.830774
| 4.549195
|
hep-th/0107102
|
Alex Buchel
|
Alex Buchel
|
On the thermodynamic instability of LST
|
14 pages, 1 figure, v2: reference added
| null | null |
NSF-ITP-01-72
|
hep-th
| null |
The high energy thermodynamics of Little String Theory (LST) is known to be
unstable. An unresolved question is whether the corresponding instability in
LST holographic dual is of stringy or supergravity origin. We study UV
thermodynamics of a large metric deformation of the LST dual realized (in the
extremal case) by type IIB fivebranes wrapping a two-sphere of a resolved
conifold, and demonstrate that the resulting black hole has negative specific
heat. This explicitly shows that the high energy thermodynamic instability of
the LST holographic dual is of the supergravity origin.
|
[
{
"created": "Thu, 12 Jul 2001 08:07:11 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jul 2001 23:34:18 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Buchel",
"Alex",
""
]
] |
The high energy thermodynamics of Little String Theory (LST) is known to be unstable. An unresolved question is whether the corresponding instability in LST holographic dual is of stringy or supergravity origin. We study UV thermodynamics of a large metric deformation of the LST dual realized (in the extremal case) by type IIB fivebranes wrapping a two-sphere of a resolved conifold, and demonstrate that the resulting black hole has negative specific heat. This explicitly shows that the high energy thermodynamic instability of the LST holographic dual is of the supergravity origin.
| 10.205595
| 8.261444
| 10.616371
| 8.469113
| 9.163726
| 8.546129
| 8.540058
| 8.791501
| 8.793297
| 11.282016
| 9.218345
| 8.892219
| 9.166777
| 8.824023
| 8.873705
| 8.490343
| 8.887946
| 8.718949
| 9.169308
| 9.181808
| 8.904422
|
2012.12892
|
Jie Ren
|
Jie Ren
|
Analytic critical points of charged Renyi entropies from hyperbolic
black holes
|
20 pages, 5 figures, jheppub. v2: improved version; v3: minor
corrections, published version. Section 2 is a one-parameter generalization
of arXiv:1210.2722. A Mathematica notebook for verifying a solution in
section 2 is attached as an ancillary file
|
JHEP 05 (2021) 080
|
10.1007/JHEP05(2021)080
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We analytically study phase transitions of holographic charged Renyi
entropies in two gravitational systems dual to the $\mathcal{N}=4$
super-Yang-Mills theory at finite density and zero temperature. The first
system is the Reissner-Nordstrom-AdS$_5$ black hole, which has finite entropy
at zero temperature. The second system is a charged dilatonic black hole in
AdS$_5$, which has zero entropy at zero temperature. Hyperbolic black holes are
employed to calculate the Renyi entropies with the entangling surface being a
sphere. We perturb each system by a charged scalar field, and look for a zero
mode signaling the instability of the extremal hyperbolic black hole. Zero
modes as well as the leading order of the full retarded Green's function are
analytically solved for both systems, in contrast to previous studies in which
only the IR (near horizon) instability was analytically treated.
|
[
{
"created": "Wed, 23 Dec 2020 18:57:03 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2021 17:33:54 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Apr 2022 15:46:24 GMT",
"version": "v3"
}
] |
2022-04-13
|
[
[
"Ren",
"Jie",
""
]
] |
We analytically study phase transitions of holographic charged Renyi entropies in two gravitational systems dual to the $\mathcal{N}=4$ super-Yang-Mills theory at finite density and zero temperature. The first system is the Reissner-Nordstrom-AdS$_5$ black hole, which has finite entropy at zero temperature. The second system is a charged dilatonic black hole in AdS$_5$, which has zero entropy at zero temperature. Hyperbolic black holes are employed to calculate the Renyi entropies with the entangling surface being a sphere. We perturb each system by a charged scalar field, and look for a zero mode signaling the instability of the extremal hyperbolic black hole. Zero modes as well as the leading order of the full retarded Green's function are analytically solved for both systems, in contrast to previous studies in which only the IR (near horizon) instability was analytically treated.
| 6.317261
| 5.953818
| 7.091759
| 5.999375
| 6.483443
| 5.772903
| 6.218616
| 5.882315
| 5.777485
| 7.474204
| 5.660467
| 6.022143
| 6.399963
| 5.946449
| 6.146728
| 5.994179
| 6.105968
| 5.885065
| 5.973124
| 6.65297
| 6.01658
|
hep-th/9309019
|
Nemanja Kaloper
|
Nemanja Kaloper
|
Three Dimensional Black Holes and Four Dimensional Black Strings as
Nonlinear Sigma Models
|
8 pages plain TeX, Alberta preprint Alberta-Thy-25-93
| null | null | null |
hep-th
| null |
Two solutions of stringy gravity in three and four dimensions which admit
interpretation as a black hole and a black string, respectively, are discussed.
It is demonstrated that they are exact WZWN nonlinear sigma models to all
orders in the inverse string tension, and hence represent exact conformal field
theories on the world-sheet. Furthermore, since the dilaton for these two
solutions is constant, they also solve the equations of motion of standard GR
with a minimally coupled three form field strength. (Based on a talk presented
at the Conference on Quantum Aspects of Black Holes, U. of California, Santa
Barbara CA June 21-27 '93, and a poster presented at 5th Canadian Conference on
General Relativity and Relativistic Astrophysics, Waterloo, Ont., May 13-15,
1993.)
|
[
{
"created": "Thu, 2 Sep 1993 23:29:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kaloper",
"Nemanja",
""
]
] |
Two solutions of stringy gravity in three and four dimensions which admit interpretation as a black hole and a black string, respectively, are discussed. It is demonstrated that they are exact WZWN nonlinear sigma models to all orders in the inverse string tension, and hence represent exact conformal field theories on the world-sheet. Furthermore, since the dilaton for these two solutions is constant, they also solve the equations of motion of standard GR with a minimally coupled three form field strength. (Based on a talk presented at the Conference on Quantum Aspects of Black Holes, U. of California, Santa Barbara CA June 21-27 '93, and a poster presented at 5th Canadian Conference on General Relativity and Relativistic Astrophysics, Waterloo, Ont., May 13-15, 1993.)
| 7.787505
| 8.150672
| 7.96255
| 7.229908
| 7.526691
| 7.324317
| 8.066462
| 7.190514
| 7.249382
| 9.408653
| 7.627257
| 7.341789
| 7.634218
| 7.146513
| 7.129108
| 7.105783
| 7.220201
| 7.103608
| 7.215587
| 7.631363
| 7.467993
|
2405.16497
|
Anna Pachol
|
Jerzy Lukierski, Anna Pacho{\l}
|
Doubly $\kappa$-deformed Yang models, Born-selfdual $\kappa$-deformed
quantum phase spaces and two generalizations of Yang models
|
15 pages, Contribution to PoS Corfu 2023
|
PoS(CORFU2023)247
|
10.22323/1.463.0247
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently it was shown that by using two different realizations of
$\hat{o}(1,4)$ Lie algebra one can describe one-parameter standard Snyder model
and two-parameter $\kappa$-deformed Snyder model. In this paper, by using the
generalized Born duality and Jacobi identities we obtain from the
$\kappa$-deformed Snyder model the doubly $\kappa$-deformed Yang model which
provides the new class of quantum relativistic phase spaces. These phase spaces
contain as subalgebras the $\kappa$-deformed Minkowski space-time as well as
quantum $\tilde{\kappa}$-deformed fourmomenta and are depending on five
independent parameters. Such a large class of quantum phase spaces can be
described in $D=4$ by particular realizations of $\hat{o}(1,5)$ algebra, what
illustrates the property that in noncommutative geometry different $D=4$
physical models may be described by various realizations of the same algebraic
structure. Finally, in the last Section we propose two new ways of generalizing
Yang models: by introducing $\hat o(1,3+2N)$ algebras ($N=1,2\ldots$) we
provide internal symmetries $O(N)$ symmetries in Kaluza-Klein extended Yang
model, and by replacing the classical $\hat{o}(1,5)$ algebras which describe
the algebraic structure of Yang models by $\hat o(1,5)$ quantum groups with
suitably chosen nonprimitive coproducts.
|
[
{
"created": "Sun, 26 May 2024 09:20:23 GMT",
"version": "v1"
}
] |
2024-08-08
|
[
[
"Lukierski",
"Jerzy",
""
],
[
"Pachoł",
"Anna",
""
]
] |
Recently it was shown that by using two different realizations of $\hat{o}(1,4)$ Lie algebra one can describe one-parameter standard Snyder model and two-parameter $\kappa$-deformed Snyder model. In this paper, by using the generalized Born duality and Jacobi identities we obtain from the $\kappa$-deformed Snyder model the doubly $\kappa$-deformed Yang model which provides the new class of quantum relativistic phase spaces. These phase spaces contain as subalgebras the $\kappa$-deformed Minkowski space-time as well as quantum $\tilde{\kappa}$-deformed fourmomenta and are depending on five independent parameters. Such a large class of quantum phase spaces can be described in $D=4$ by particular realizations of $\hat{o}(1,5)$ algebra, what illustrates the property that in noncommutative geometry different $D=4$ physical models may be described by various realizations of the same algebraic structure. Finally, in the last Section we propose two new ways of generalizing Yang models: by introducing $\hat o(1,3+2N)$ algebras ($N=1,2\ldots$) we provide internal symmetries $O(N)$ symmetries in Kaluza-Klein extended Yang model, and by replacing the classical $\hat{o}(1,5)$ algebras which describe the algebraic structure of Yang models by $\hat o(1,5)$ quantum groups with suitably chosen nonprimitive coproducts.
| 8.592532
| 8.593783
| 9.203012
| 8.172823
| 8.562441
| 8.606312
| 8.317416
| 7.937375
| 7.940783
| 9.829991
| 7.613037
| 8.184097
| 8.736162
| 8.165778
| 8.321802
| 8.159842
| 8.395559
| 8.217615
| 8.21009
| 8.476364
| 8.198609
|
hep-th/0008078
|
Ktoridis Christos
|
A. I. Karanikas, C. N. Ktorides (University of Athens, Greece)
|
Polyakov's spin factor and new algorithms for efficient perturbative
computations in QCD
|
13 pages, 2 figures
|
Phys.Lett. B500 (2001) 75-86
|
10.1016/S0370-2693(01)00062-4
|
UA/NPPS-20-00
|
hep-th
| null |
Polyakov's spin factor enters as a weight in the path-integral description of
particle-like modes propagating in Euclidean space-times, accounting for
particle spin. The Fock-Feynman-Schwinger path integral applied to QCD
accomodates Polyakov's spin factor in a natural manner while, at the same time,
it identifies Wilson line (loop) operators as sole agents of interaction
dynamics among matter and gauge field quanta. A direct application of such a
separation between spin content and dynamics is the emergence of master
expressions for the perturbative series involving either open or closed
fermionic lines which provide new, comprehensive approaches to perturbative
QCD.
|
[
{
"created": "Wed, 9 Aug 2000 10:47:58 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Aug 2000 08:13:43 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Karanikas",
"A. I.",
"",
"University of Athens, Greece"
],
[
"Ktorides",
"C. N.",
"",
"University of Athens, Greece"
]
] |
Polyakov's spin factor enters as a weight in the path-integral description of particle-like modes propagating in Euclidean space-times, accounting for particle spin. The Fock-Feynman-Schwinger path integral applied to QCD accomodates Polyakov's spin factor in a natural manner while, at the same time, it identifies Wilson line (loop) operators as sole agents of interaction dynamics among matter and gauge field quanta. A direct application of such a separation between spin content and dynamics is the emergence of master expressions for the perturbative series involving either open or closed fermionic lines which provide new, comprehensive approaches to perturbative QCD.
| 21.269747
| 20.431974
| 19.996969
| 19.71726
| 23.959099
| 22.358803
| 21.430048
| 22.36454
| 18.531227
| 21.994034
| 19.546808
| 19.961357
| 18.683832
| 19.952536
| 19.611811
| 20.442038
| 20.006935
| 21.811863
| 19.992245
| 19.405853
| 20.379732
|
1808.00583
|
Ulf Lindstr\"om
|
P.S. Howe and U. Lindstr\"om
|
Some remarks on (super)-conformal Killing-Yano tensors
|
28 pages, Latex, Reference added, minor corrections
| null |
10.1007/JHEP11(2018)049
|
KCL-MTH-02 , UUITP-31/18, Imperial-TP-UL-02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A Killing-Yano tensor is an antisymmetric tensor obeying a first-order
differential constraint similar to that obeyed by a Killing vector. In this
article we consider generalisations of such objects, focusing on the conformal
case. These generalised conformal Killing-Yano tensors are of mixed symmetry
type and obey the constraint that the largest irreducible representation of
$o(n)$ contained in the tensor constructed from the first-derivative applied to
such an object should vanish. Such tensors appear naturally in the context of
spinning particles having $N_0=1$ worldline supersymmetry and in the related
problem of higher symmetries of Dirac operators. Generalisations corresponding
to extended worldline supersymmetries and to spacetime supersymmetry are
discussed.
|
[
{
"created": "Wed, 1 Aug 2018 22:09:15 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Aug 2018 18:04:08 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Oct 2018 19:01:57 GMT",
"version": "v3"
}
] |
2018-12-05
|
[
[
"Howe",
"P. S.",
""
],
[
"Lindström",
"U.",
""
]
] |
A Killing-Yano tensor is an antisymmetric tensor obeying a first-order differential constraint similar to that obeyed by a Killing vector. In this article we consider generalisations of such objects, focusing on the conformal case. These generalised conformal Killing-Yano tensors are of mixed symmetry type and obey the constraint that the largest irreducible representation of $o(n)$ contained in the tensor constructed from the first-derivative applied to such an object should vanish. Such tensors appear naturally in the context of spinning particles having $N_0=1$ worldline supersymmetry and in the related problem of higher symmetries of Dirac operators. Generalisations corresponding to extended worldline supersymmetries and to spacetime supersymmetry are discussed.
| 11.10819
| 11.528504
| 10.371073
| 9.343489
| 11.585292
| 10.798945
| 10.693077
| 10.141794
| 8.971802
| 11.645725
| 9.79347
| 9.262546
| 9.675167
| 8.907526
| 9.344589
| 9.295639
| 9.074087
| 9.347052
| 9.357129
| 10.165085
| 9.205207
|
1905.08296
|
Eduardo Antonio dos Reis
|
Peter M. Lavrov, Eduardo Antonio dos Reis, Tib\'erio de Paula Netto,
Ilya L.Shapiro
|
Gauge invariance of the background average effective action
|
Fits the version accepted in EPJC
| null |
10.1140/epjc/s10052-019-7153-1
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the background field method for the functional renormalization group
approach in the case of a generic gauge theory, we study the background field
symmetry and gauge dependence of the background average effective action, when
the regulator action depends on external fields. The final result is that the
symmetry of the average effective action can be maintained for a wide class of
regulator functions, but in all cases the dependence of the gauge fixing
remains on-shell. The Yang-Mills theory is considered as the main particular
example.
|
[
{
"created": "Mon, 20 May 2019 18:58:03 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Aug 2019 19:00:53 GMT",
"version": "v2"
}
] |
2019-08-23
|
[
[
"Lavrov",
"Peter M.",
""
],
[
"Reis",
"Eduardo Antonio dos",
""
],
[
"Netto",
"Tibério de Paula",
""
],
[
"Shapiro",
"Ilya L.",
""
]
] |
Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the background average effective action, when the regulator action depends on external fields. The final result is that the symmetry of the average effective action can be maintained for a wide class of regulator functions, but in all cases the dependence of the gauge fixing remains on-shell. The Yang-Mills theory is considered as the main particular example.
| 12.744612
| 12.255588
| 12.951776
| 10.74263
| 11.765434
| 12.075427
| 13.187513
| 11.895705
| 11.78662
| 12.239031
| 11.496914
| 11.287663
| 12.395058
| 11.151411
| 11.961147
| 11.958998
| 11.159715
| 11.606182
| 11.00821
| 11.667149
| 11.319002
|
1401.7977
|
Karapet Mkrtchyan
|
Euihun Joung and Karapet Mkrtchyan
|
Notes on higher-spin algebras: minimal representations and structure
constants
|
minor corrections, references added
| null |
10.1007/JHEP05(2014)103
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The higher-spin (HS) algebras so far known can be interpreted as the
symmetries of the minimal representation of the isometry algebra. After
discussing this connection briefly, we generalize this concept to any classical
Lie algebras and consider the corresponding HS algebras. For sp(2N) and so(N),
the minimal representations are unique so we get unique HS algebras. For sl(N),
the minimal representation has one-parameter family, so does the corresponding
HS algebra. The so(N) HS algebra is what underlies the Vasiliev theory while
the sl(2) one coincides with the 3D HS algebra hs[lambda]. Finally, we derive
the explicit expression of the structure constant of these algebras --- more
precisely, their bilinear and trilinear forms. Several consistency checks are
carried out for our results.
|
[
{
"created": "Thu, 30 Jan 2014 20:43:45 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Aug 2015 23:53:06 GMT",
"version": "v2"
}
] |
2015-09-01
|
[
[
"Joung",
"Euihun",
""
],
[
"Mkrtchyan",
"Karapet",
""
]
] |
The higher-spin (HS) algebras so far known can be interpreted as the symmetries of the minimal representation of the isometry algebra. After discussing this connection briefly, we generalize this concept to any classical Lie algebras and consider the corresponding HS algebras. For sp(2N) and so(N), the minimal representations are unique so we get unique HS algebras. For sl(N), the minimal representation has one-parameter family, so does the corresponding HS algebra. The so(N) HS algebra is what underlies the Vasiliev theory while the sl(2) one coincides with the 3D HS algebra hs[lambda]. Finally, we derive the explicit expression of the structure constant of these algebras --- more precisely, their bilinear and trilinear forms. Several consistency checks are carried out for our results.
| 8.803605
| 9.207597
| 10.284155
| 8.389403
| 8.771548
| 9.509821
| 9.37699
| 8.329528
| 8.987829
| 9.715901
| 8.653085
| 8.261749
| 9.062475
| 8.562282
| 8.580695
| 8.574272
| 8.540638
| 8.52352
| 8.451712
| 8.967433
| 8.531492
|
1809.01159
|
Michele Cicoli
|
Michele Cicoli, Gabriel A. Piovano
|
Reheating and Dark Radiation after Fibre Inflation
|
29 pages + references, 6 figures; matches published version
| null |
10.1088/1475-7516/2019/02/048
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study perturbative reheating at the end of fibre inflation where the
inflaton is a closed string modulus with a Starobinsky-like potential. We first
derive the spectral index $n_s$ and the tensor-to-scalar ratio $r$ as a
function of the number of efoldings and the parameter $R$ which controls
slow-roll breaking corrections. We then compute the inflaton couplings and
decay rates into ultra-light bulk axions and visible sector fields on D7-branes
wrapping the inflaton divisor. This leads to a reheating temperature of order
$10^{10}$ GeV which requires $52$ efoldings. Ultra-light axions contribute to
dark radiation even if $\Delta N_{\rm eff}$ is almost negligible in the generic
case where the visible sector D7-stack supports a non-zero gauge flux. If the
parameter $R$ is chosen to be small enough, $n_s\simeq 0.965$ is then in
perfect agreement with current observations while $r$ turns out to be of order
$r\simeq 0.007$. If instead the flux on the inflaton divisor is turned off,
$\Delta N_{\rm eff}\lesssim 0.6$ which, when used as a prior for Planck data,
requires $n_s\simeq 0.99$. After $R$ is fixed to obtain such a value of $n_s$,
primordial gravity waves are larger since $r\simeq 0.01$.
|
[
{
"created": "Tue, 4 Sep 2018 18:00:06 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2019 15:14:14 GMT",
"version": "v2"
}
] |
2019-03-26
|
[
[
"Cicoli",
"Michele",
""
],
[
"Piovano",
"Gabriel A.",
""
]
] |
We study perturbative reheating at the end of fibre inflation where the inflaton is a closed string modulus with a Starobinsky-like potential. We first derive the spectral index $n_s$ and the tensor-to-scalar ratio $r$ as a function of the number of efoldings and the parameter $R$ which controls slow-roll breaking corrections. We then compute the inflaton couplings and decay rates into ultra-light bulk axions and visible sector fields on D7-branes wrapping the inflaton divisor. This leads to a reheating temperature of order $10^{10}$ GeV which requires $52$ efoldings. Ultra-light axions contribute to dark radiation even if $\Delta N_{\rm eff}$ is almost negligible in the generic case where the visible sector D7-stack supports a non-zero gauge flux. If the parameter $R$ is chosen to be small enough, $n_s\simeq 0.965$ is then in perfect agreement with current observations while $r$ turns out to be of order $r\simeq 0.007$. If instead the flux on the inflaton divisor is turned off, $\Delta N_{\rm eff}\lesssim 0.6$ which, when used as a prior for Planck data, requires $n_s\simeq 0.99$. After $R$ is fixed to obtain such a value of $n_s$, primordial gravity waves are larger since $r\simeq 0.01$.
| 7.217672
| 8.331474
| 7.339115
| 7.010351
| 7.457874
| 7.539438
| 6.966125
| 6.970079
| 6.553132
| 7.776074
| 7.117127
| 7.111583
| 6.98053
| 6.757093
| 7.117384
| 6.904539
| 7.221515
| 6.846577
| 6.835507
| 7.018219
| 7.047239
|
2110.01627
|
Niall Macpherson
|
Niall T. Macpherson, Alessandro Tomasiello
|
${\cal N}=(1,1)$ supersymmetric AdS$_3$ in 10 dimensions
|
49 pages, 4 figures. v2: references, typos, new appendix on general
N=(1,0) conditions, correction to sufficient N=(1,1) conditions when spinor
norms are non equal
| null |
10.1007/JHEP03(2022)112
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Warped AdS$_3$ solutions in 10 dimensional supergravity that preserve ${\cal
N}=(1,1)$ supersymmetry are considered. Sufficient geometric conditions for
their existence, and to stop the AdS$_3$ factor experiencing an enhancement to
AdS$_4$, are presented. The internal space of such solutions decomposes as a
foliation of M$_6$ over an interval where M$_6$ supports either an SU(3)- or
SU(2)-structure. The former case is classified in terms of torsion classes and
new solutions are found
|
[
{
"created": "Mon, 4 Oct 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Feb 2022 08:45:59 GMT",
"version": "v2"
}
] |
2022-04-13
|
[
[
"Macpherson",
"Niall T.",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] |
Warped AdS$_3$ solutions in 10 dimensional supergravity that preserve ${\cal N}=(1,1)$ supersymmetry are considered. Sufficient geometric conditions for their existence, and to stop the AdS$_3$ factor experiencing an enhancement to AdS$_4$, are presented. The internal space of such solutions decomposes as a foliation of M$_6$ over an interval where M$_6$ supports either an SU(3)- or SU(2)-structure. The former case is classified in terms of torsion classes and new solutions are found
| 10.681819
| 7.34717
| 10.159291
| 7.201396
| 8.163099
| 7.902346
| 7.864466
| 7.29554
| 7.296006
| 10.201822
| 7.225539
| 7.577176
| 8.399119
| 7.971629
| 7.752567
| 7.428363
| 7.753552
| 7.906235
| 7.905604
| 9.016109
| 8.042315
|
2303.12837
|
David Berenstein
|
David Berenstein
|
Staggered bosons
|
27 pages, 4 figures
| null | null | null |
hep-th cond-mat.str-el hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A model with a half boson degree of freedom per lattice site in one dimension
is developed. The boson is protected from developing a gap by translation
symmetry: while the left movers are at zero quasi-momentum, the associated
right movers are at the midpoint of the quasi-momentum period. The model has
different properties depending on if a periodic lattice has an even or an odd
number of sites and similar features are found for open boundary conditions. A
special case of the non-linear half boson model where even and odd lattice
sites contribute differently to the Hamiltonian gives rise to the Toda chain
and a more symmetric generalization of the Toda chain is found. Upon periodic
identifications of the half bosons degrees of freedom under a shift, the total
Hilbert space has a finite dimension and can be encoded in finitely many qubits
per unit length. This way one finds interesting critical spin chains, examples
of which include the critical Ising model in a transverse magnetic field and
the 3-state Potts model at criticality. Extensions to higher dimensions are
considered. Models obtained this way automatically produce dynamical systems of
gapless fractons.
|
[
{
"created": "Wed, 22 Mar 2023 18:00:05 GMT",
"version": "v1"
}
] |
2023-03-24
|
[
[
"Berenstein",
"David",
""
]
] |
A model with a half boson degree of freedom per lattice site in one dimension is developed. The boson is protected from developing a gap by translation symmetry: while the left movers are at zero quasi-momentum, the associated right movers are at the midpoint of the quasi-momentum period. The model has different properties depending on if a periodic lattice has an even or an odd number of sites and similar features are found for open boundary conditions. A special case of the non-linear half boson model where even and odd lattice sites contribute differently to the Hamiltonian gives rise to the Toda chain and a more symmetric generalization of the Toda chain is found. Upon periodic identifications of the half bosons degrees of freedom under a shift, the total Hilbert space has a finite dimension and can be encoded in finitely many qubits per unit length. This way one finds interesting critical spin chains, examples of which include the critical Ising model in a transverse magnetic field and the 3-state Potts model at criticality. Extensions to higher dimensions are considered. Models obtained this way automatically produce dynamical systems of gapless fractons.
| 13.501449
| 14.957301
| 14.658431
| 13.472487
| 13.633737
| 13.71506
| 14.510564
| 14.312449
| 14.020454
| 16.350386
| 13.449139
| 12.504385
| 13.102015
| 12.73315
| 13.009629
| 12.921933
| 12.971976
| 12.762794
| 13.00362
| 13.24438
| 12.958076
|
hep-th/0411217
|
Koenraad Schalm
|
Brian R. Greene, Koenraad Schalm, Gary Shiu, Jan Pieter van der Schaar
|
Decoupling in an expanding universe: backreaction barely constrains
short distance effects in the CMB
|
LaTeX, 26 pages, 3 figures; JCAP version, minor corrections +
references added
|
JCAP 0502 (2005) 001
|
10.1088/1475-7516/2005/02/001
|
CERN-PH-TH/2004-143, CU-TP-1123, MAD-TH-04-07
|
hep-th
| null |
We clarify the status of transplanckian effects on the cosmic microwave
background (CMB) anisotropy. We do so using the boundary effective action
formalism of hep-th/0401164 which accounts quantitatively for the cosmological
vacuum ambiguity. In this formalism we can clearly 1) delineate the validity of
cosmological effective actions in an expanding universe. The corollary of the
initial state ambiguity is the existence of an earliest time. The inability of
an effective action to describe physics before this time demands that one sets
initial conditions on the earliest time hypersurface. A calculation then shows
that CMB anisotropy measurements are generically sensitive to high energy
corrections to the initial conditions. 2) We compute the one-loop contribution
to the stress-tensor due to high-energy physics corrections to an arbitrary
cosmological initial state. We find that phenomenological bounds on the
backreaction do not lead to strong constraints on the coefficient of the
leading boundary irrelevant operator. Rather, we find that the power spectrum
itself is the quantity most sensitive to initial state corrections. 3) The
computation of the one-loop backreaction confirms arguments that irrelevant
corrections to the Bunch-Davies initial state yield non-adiabatic vacua
characterized by an energy excess at some earlier time. However, this excess
only dominates over the classical background at times before the `earliest
time' at which the effective action is valid. We conclude that the cosmological
effective action with boundaries is a fully self-consistent and quantitative
approach to transplanckian corrections to the CMB.
|
[
{
"created": "Tue, 23 Nov 2004 20:56:24 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Apr 2005 20:59:07 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Greene",
"Brian R.",
""
],
[
"Schalm",
"Koenraad",
""
],
[
"Shiu",
"Gary",
""
],
[
"van der Schaar",
"Jan Pieter",
""
]
] |
We clarify the status of transplanckian effects on the cosmic microwave background (CMB) anisotropy. We do so using the boundary effective action formalism of hep-th/0401164 which accounts quantitatively for the cosmological vacuum ambiguity. In this formalism we can clearly 1) delineate the validity of cosmological effective actions in an expanding universe. The corollary of the initial state ambiguity is the existence of an earliest time. The inability of an effective action to describe physics before this time demands that one sets initial conditions on the earliest time hypersurface. A calculation then shows that CMB anisotropy measurements are generically sensitive to high energy corrections to the initial conditions. 2) We compute the one-loop contribution to the stress-tensor due to high-energy physics corrections to an arbitrary cosmological initial state. We find that phenomenological bounds on the backreaction do not lead to strong constraints on the coefficient of the leading boundary irrelevant operator. Rather, we find that the power spectrum itself is the quantity most sensitive to initial state corrections. 3) The computation of the one-loop backreaction confirms arguments that irrelevant corrections to the Bunch-Davies initial state yield non-adiabatic vacua characterized by an energy excess at some earlier time. However, this excess only dominates over the classical background at times before the `earliest time' at which the effective action is valid. We conclude that the cosmological effective action with boundaries is a fully self-consistent and quantitative approach to transplanckian corrections to the CMB.
| 10.678184
| 11.010962
| 11.108775
| 10.380273
| 11.069633
| 11.292521
| 11.306477
| 11.086153
| 10.740814
| 11.691678
| 10.721058
| 10.65607
| 10.712179
| 10.503629
| 10.506562
| 10.708076
| 10.633198
| 10.519926
| 10.511781
| 10.611921
| 10.756338
|
2305.00142
|
Alexander Reshetnyak
|
A. Reshetnyak, P. Moshin
|
Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin
Bosonic Fields in AdS Spaces
|
71 pages, 1 figure, presentation clarified and improved, relation to
Cosmology and 11 references added; elaborated and developed conference paper
[arXiv:1111.5516[hep-th]], published version in Universe
|
Universe 2023, 9, 495
|
10.3390/universe9120495
| null |
hep-th math-ph math.MP math.RT
|
http://creativecommons.org/licenses/by/4.0/
|
We deduce a non-linear commutator higher-spin (HS) symmetry algebra which
encodes unitary irreducible representations of the AdS group -- subject to a
Young tableaux $Y(s_1,\ldots ,s_k)$ with $k\geq 2$ rows -- in a $d$-dimensional
anti-de-Sitter space. Auxiliary representations for a deformed non-linear HS
symmetry algebra in terms of a generalized Verma module, as applied to
additively convert a subsystem of second-class constraints in the HS symmetry
algebra into one with first-class constraints, are found explicitly in the case
of a $k=2$ Young tableaux. An oscillator realization over the Heisenberg
algebra for the Verma module is constructed. The results generalize the method
of constructing auxiliary representations for the symplectic $sp(2k)$ algebra
used for mixed-symmetry HS fields in flat spaces \cite{BRbos}. Polynomial
deformations of the $su(1,1)$ algebra related to the Bethe ansatz are studied
as a by-product. A nilpotent BRST operator for a non-linear HS symmetry algebra
of the converted constraints for $Y(s_1, s_2)$ is found, with non-vanishing
terms (resolving the Jacobi identities) of third order in powers of ghost
coordinates. A gauge-invariant unconstrained reducible Lagrangian formulation
for a free bosonic HS field of generalized spin $(s_1,s_2)$ is deduced.
Following the results of \cite{BuchbinderReshetnyak, BRmasscub}, we develop a
BRST approach to constructing general off-shell local cubic interaction
vertices for irreducible massive higher-spin fields (being candidates for
massive particles in the Dark Matter problem). A new reducible gauge-invariant
Lagrangian formulation for an antisymmetric massive tensor field of spin
$(1,1)$ is obtained.
|
[
{
"created": "Sat, 29 Apr 2023 01:23:49 GMT",
"version": "v1"
},
{
"created": "Sun, 7 May 2023 16:04:02 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jul 2023 04:07:19 GMT",
"version": "v3"
},
{
"created": "Mon, 27 Nov 2023 16:23:49 GMT",
"version": "v4"
}
] |
2023-11-28
|
[
[
"Reshetnyak",
"A.",
""
],
[
"Moshin",
"P.",
""
]
] |
We deduce a non-linear commutator higher-spin (HS) symmetry algebra which encodes unitary irreducible representations of the AdS group -- subject to a Young tableaux $Y(s_1,\ldots ,s_k)$ with $k\geq 2$ rows -- in a $d$-dimensional anti-de-Sitter space. Auxiliary representations for a deformed non-linear HS symmetry algebra in terms of a generalized Verma module, as applied to additively convert a subsystem of second-class constraints in the HS symmetry algebra into one with first-class constraints, are found explicitly in the case of a $k=2$ Young tableaux. An oscillator realization over the Heisenberg algebra for the Verma module is constructed. The results generalize the method of constructing auxiliary representations for the symplectic $sp(2k)$ algebra used for mixed-symmetry HS fields in flat spaces \cite{BRbos}. Polynomial deformations of the $su(1,1)$ algebra related to the Bethe ansatz are studied as a by-product. A nilpotent BRST operator for a non-linear HS symmetry algebra of the converted constraints for $Y(s_1, s_2)$ is found, with non-vanishing terms (resolving the Jacobi identities) of third order in powers of ghost coordinates. A gauge-invariant unconstrained reducible Lagrangian formulation for a free bosonic HS field of generalized spin $(s_1,s_2)$ is deduced. Following the results of \cite{BuchbinderReshetnyak, BRmasscub}, we develop a BRST approach to constructing general off-shell local cubic interaction vertices for irreducible massive higher-spin fields (being candidates for massive particles in the Dark Matter problem). A new reducible gauge-invariant Lagrangian formulation for an antisymmetric massive tensor field of spin $(1,1)$ is obtained.
| 10.421462
| 10.104424
| 11.885443
| 10.016094
| 9.865557
| 9.888251
| 9.795906
| 10.086118
| 9.850132
| 12.925356
| 9.96094
| 10.373039
| 10.819527
| 10.527569
| 10.585079
| 10.348544
| 10.367921
| 10.329348
| 10.602021
| 10.940864
| 10.168203
|
hep-th/0302043
|
Boris Pioline
|
B. Pioline (LPTHE)
|
Cubic Free Field Theory
|
4 pages, Latex2e, Kluwer style file included; talk given at the
Cargese 2002 gong-show, july 2002; v2: minor corrections, final version
| null | null |
LPTHE-P03-01
|
hep-th
| null |
We point out the existence of a class of non-Gaussian yet free "quantum field
theories" in 0+0 dimensions, based on a cubic action classified by simple Lie
groups. A "three-pronged" version of the Wick theorem applies.
|
[
{
"created": "Fri, 7 Feb 2003 09:18:49 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Feb 2003 13:27:46 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Pioline",
"B.",
"",
"LPTHE"
]
] |
We point out the existence of a class of non-Gaussian yet free "quantum field theories" in 0+0 dimensions, based on a cubic action classified by simple Lie groups. A "three-pronged" version of the Wick theorem applies.
| 24.194757
| 18.326733
| 20.618248
| 18.857607
| 18.74579
| 19.55311
| 19.772537
| 18.196949
| 18.148146
| 21.528753
| 18.939581
| 21.430319
| 23.39971
| 19.306274
| 20.098385
| 19.871635
| 19.114603
| 20.006678
| 19.200924
| 20.152542
| 19.769949
|
hep-th/0104119
|
Patrick E. Dorey
|
Patrick Dorey, Clare Dunning and Roberto Tateo
|
Supersymmetry and the spontaneous breakdown of PT symmetry
|
11 pages, 12 figures, Latex2e, amssymb, cite and graphicx. v2: a
comment and two references added. v3: minor changes, and two references
updated
|
J.Phys.A34:L391,2001
|
10.1088/0305-4470/34/28/102
|
DCTP/01/37
|
hep-th cond-mat math-ph math.MP nlin.SI quant-ph
| null |
The appearances of complex eigenvalues in the spectra of PT-symmetric
quantum-mechanical systems are usually associated with a spontaneous breaking
of PT. In this letter we discuss a family of models for which this phenomenon
is also linked with an explicit breaking of supersymmetry. Exact
level-crossings are located, and connections with N-fold supersymmetry and
quasi-exact solvability in certain special cases are pointed out.
|
[
{
"created": "Thu, 12 Apr 2001 16:38:10 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2001 15:14:17 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Jul 2001 14:23:16 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Dorey",
"Patrick",
""
],
[
"Dunning",
"Clare",
""
],
[
"Tateo",
"Roberto",
""
]
] |
The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT. In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with N-fold supersymmetry and quasi-exact solvability in certain special cases are pointed out.
| 11.856218
| 9.652346
| 12.323905
| 8.928701
| 10.363994
| 9.940742
| 10.589504
| 9.376207
| 9.843118
| 14.002582
| 9.514192
| 10.246415
| 10.213375
| 10.245492
| 10.143869
| 10.002227
| 10.313295
| 9.979177
| 10.024518
| 10.738205
| 10.286535
|
hep-th/9312208
|
Hidetoshi Awata
|
H. Awata, M. Fukuma, S. Odake and Y.-H. Quano
|
Eigensystem and Full Character Formula of the W_{1+infinity} Algebra
with c=1
|
12 pages, YITP/K-1049, SULDP-1993-1, RIMS-959, Plain TEX, ( New
references )
|
Lett.Math.Phys. 31 (1994) 289-298
|
10.1007/BF00762791
| null |
hep-th
| null |
By using the free field realizations, we analyze the representation theory of
the W_{1+infinity} algebra with c=1. The eigenvectors for the Cartan subalgebra
of W_{1+infinity} are parametrized by the Young diagrams, and explicitly
written down by W_{1+infinity} generators. Moreover, their eigenvalues and full
character formula are also obtained.
|
[
{
"created": "Thu, 30 Dec 1993 08:13:41 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jan 1994 15:03:05 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Awata",
"H.",
""
],
[
"Fukuma",
"M.",
""
],
[
"Odake",
"S.",
""
],
[
"Quano",
"Y. -H.",
""
]
] |
By using the free field realizations, we analyze the representation theory of the W_{1+infinity} algebra with c=1. The eigenvectors for the Cartan subalgebra of W_{1+infinity} are parametrized by the Young diagrams, and explicitly written down by W_{1+infinity} generators. Moreover, their eigenvalues and full character formula are also obtained.
| 9.209576
| 7.02529
| 9.217035
| 6.657459
| 6.968156
| 6.734109
| 6.284155
| 6.553818
| 6.413291
| 9.160571
| 6.552279
| 6.81251
| 8.132864
| 7.248982
| 7.401855
| 7.026028
| 6.828506
| 7.028129
| 7.207245
| 7.943522
| 7.264942
|
2304.12207
|
Niall Macpherson
|
Niall T. Macpherson, Anayeli Ramirez
|
AdS$_3$ vacua realising $\mathfrak{osp}(n|2)$ superconformal symmetry
|
29 pages + appendices. v4: Minor improvements, references added
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider ${\cal N}=(n,0)$ supersymmetric AdS$_3$ vacua of type II
supergravity realising the superconformal algebra $\mathfrak{osp}(n|2)$ for
$n>4$. For the cases $n=6$ and $n=5$, one can realise these algebras on
backgrounds that decompose as foliations of AdS$_3\times \mathbb{CP}^3$ (
squashed $\mathbb{CP}^3$ for $n=5$) over an interval. We classify such
solutions with bi-spinor techniques and find the local form of each of them:
They only exist in (massive) IIA and are defined locally in terms of an order 3
polynomial $h$ similar to the AdS$_7$ vacua of (massive) IIA. Many distinct
local solutions exist for different tunings of $h$ that give rise to bounded
(or semi infinite) intervals bounded by physical behaviour. We show that it is
possible to glue these local solutions together by placing D8 branes on the
interior of the interval without breaking supersymmetry, which expands the
possibilities for global solutions immensely. We illustrate this point with
some simple examples. Finally we also show that AdS$_3$ vacua for $n=7,8$ only
exist in $d=11$ supergravity and are all locally AdS$_4\times$S$^7$.
|
[
{
"created": "Mon, 24 Apr 2023 15:47:46 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jun 2023 20:03:01 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jun 2023 09:51:07 GMT",
"version": "v3"
},
{
"created": "Wed, 23 Aug 2023 07:00:27 GMT",
"version": "v4"
}
] |
2023-08-24
|
[
[
"Macpherson",
"Niall T.",
""
],
[
"Ramirez",
"Anayeli",
""
]
] |
We consider ${\cal N}=(n,0)$ supersymmetric AdS$_3$ vacua of type II supergravity realising the superconformal algebra $\mathfrak{osp}(n|2)$ for $n>4$. For the cases $n=6$ and $n=5$, one can realise these algebras on backgrounds that decompose as foliations of AdS$_3\times \mathbb{CP}^3$ ( squashed $\mathbb{CP}^3$ for $n=5$) over an interval. We classify such solutions with bi-spinor techniques and find the local form of each of them: They only exist in (massive) IIA and are defined locally in terms of an order 3 polynomial $h$ similar to the AdS$_7$ vacua of (massive) IIA. Many distinct local solutions exist for different tunings of $h$ that give rise to bounded (or semi infinite) intervals bounded by physical behaviour. We show that it is possible to glue these local solutions together by placing D8 branes on the interior of the interval without breaking supersymmetry, which expands the possibilities for global solutions immensely. We illustrate this point with some simple examples. Finally we also show that AdS$_3$ vacua for $n=7,8$ only exist in $d=11$ supergravity and are all locally AdS$_4\times$S$^7$.
| 8.561831
| 8.023744
| 10.152379
| 7.938943
| 8.937773
| 8.054383
| 8.879363
| 7.968693
| 8.04374
| 10.516103
| 8.302034
| 8.140451
| 8.815748
| 8.255009
| 8.29462
| 8.313856
| 8.206244
| 8.055408
| 7.956308
| 8.758571
| 8.230888
|
1003.0399
|
Igor Bandos A.
|
Igor A. Bandos
|
Multiple M-wave interaction with fluxes
|
4 pages, no figures, RevTeX4. V2. The discussion on BPS conditions
and some supersymmetric solutions is added. The explicit values of the
coefficients for the interacting terms are presented. Also a couple of minor
changes. V3: a small misrint corrected. Published: Phys.Rev.Lett.105 (2010)
071602
|
Phys.Rev.Lett.105:071602,2010
|
10.1103/PhysRevLett.105.071602
| null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the equations of motion for multiple M0-brane (multiple M-wave or
mM0) system in general eleven dimensional supergravity background. These are
obtained in the frame of superembedding approach, but have a rigid structure:
they can be restored from SO(1,1) x SO(9) symmetry characteristic for M0. BPS
conditions for the 1/2 supersymmetric solution of these equations have the
fuzzy 2-sphere solution describing M2-brane.
|
[
{
"created": "Mon, 1 Mar 2010 16:46:45 GMT",
"version": "v1"
},
{
"created": "Fri, 14 May 2010 17:33:17 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Dec 2010 16:32:58 GMT",
"version": "v3"
}
] |
2010-12-16
|
[
[
"Bandos",
"Igor A.",
""
]
] |
We present the equations of motion for multiple M0-brane (multiple M-wave or mM0) system in general eleven dimensional supergravity background. These are obtained in the frame of superembedding approach, but have a rigid structure: they can be restored from SO(1,1) x SO(9) symmetry characteristic for M0. BPS conditions for the 1/2 supersymmetric solution of these equations have the fuzzy 2-sphere solution describing M2-brane.
| 16.792229
| 11.951769
| 22.993067
| 12.679819
| 11.462931
| 11.491379
| 11.503607
| 12.254304
| 12.825315
| 19.305584
| 12.935673
| 14.365938
| 18.620281
| 15.131526
| 14.470603
| 14.578121
| 14.408992
| 14.791863
| 14.37959
| 19.434574
| 14.637676
|
0902.0615
|
Neil Barnaby
|
Neil Barnaby, Zhiqi Huang, Lev Kofman and Dmitry Pogosyan
|
Cosmological Fluctuations from Infra-Red Cascading During Inflation
|
13 pages, 9 figures. Accepted for publication in Phys. Rev. D
|
Phys.Rev.D80:043501,2009
|
10.1103/PhysRevD.80.043501
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a qualitatively new mechanism for generating cosmological
fluctuations from inflation. The non-equilibrium excitation of interacting
scalar fields often evolves into infra-red (IR) and ultra-violet (UV)
cascading, resulting in an intermediate scaling regime. We observe elements of
this phenomenon in a simple model with inflaton \phi and iso-inflaton \chi
fields interacting during inflation via the coupling g^2 (\phi-\phi_0)^2
\chi^2. Iso-inflaton particles are created during inflation when they become
instantaneously massless at \phi=\phi_0, with occupation numbers not exceeding
unity. We point out that very quickly the produced \chi particles become heavy
and their multiple re-scatterings off the homogeneous condensate \phi(t)
generates bremschtrahlung radiation of light inflaton IR fluctuations with high
occupation numbers. The subsequent evolution of these IR fluctuations is
qualitatively similar to that of the usual inflationary fluctuations, but their
initial amplitude is different. The IR cascading generates a bump-shaped
contribution to the cosmological curvature fluctuations, which can even
dominate over the usual fluctuations for g^2>0.06. The IR cascading curvature
fluctuations are significantly non-gaussian and the strength and location of
the bump are model-dependent, through g^2 and \phi_0. The effect from IR
cascading fluctuations is significantly larger than that from the momentary
slowing-down of \phi(t). With a sequence of such bursts of particle production,
the superposition of the bumps can lead to a new broad band non-gaussian
component of cosmological fluctuations added to the usual fluctuations. Such a
sequence of particle creation events can, but need not, lead to trapped
inflation.
|
[
{
"created": "Wed, 4 Feb 2009 20:55:26 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2009 14:13:06 GMT",
"version": "v2"
}
] |
2009-09-02
|
[
[
"Barnaby",
"Neil",
""
],
[
"Huang",
"Zhiqi",
""
],
[
"Kofman",
"Lev",
""
],
[
"Pogosyan",
"Dmitry",
""
]
] |
We propose a qualitatively new mechanism for generating cosmological fluctuations from inflation. The non-equilibrium excitation of interacting scalar fields often evolves into infra-red (IR) and ultra-violet (UV) cascading, resulting in an intermediate scaling regime. We observe elements of this phenomenon in a simple model with inflaton \phi and iso-inflaton \chi fields interacting during inflation via the coupling g^2 (\phi-\phi_0)^2 \chi^2. Iso-inflaton particles are created during inflation when they become instantaneously massless at \phi=\phi_0, with occupation numbers not exceeding unity. We point out that very quickly the produced \chi particles become heavy and their multiple re-scatterings off the homogeneous condensate \phi(t) generates bremschtrahlung radiation of light inflaton IR fluctuations with high occupation numbers. The subsequent evolution of these IR fluctuations is qualitatively similar to that of the usual inflationary fluctuations, but their initial amplitude is different. The IR cascading generates a bump-shaped contribution to the cosmological curvature fluctuations, which can even dominate over the usual fluctuations for g^2>0.06. The IR cascading curvature fluctuations are significantly non-gaussian and the strength and location of the bump are model-dependent, through g^2 and \phi_0. The effect from IR cascading fluctuations is significantly larger than that from the momentary slowing-down of \phi(t). With a sequence of such bursts of particle production, the superposition of the bumps can lead to a new broad band non-gaussian component of cosmological fluctuations added to the usual fluctuations. Such a sequence of particle creation events can, but need not, lead to trapped inflation.
| 12.128589
| 14.197795
| 12.568085
| 12.166507
| 14.79599
| 13.464299
| 14.255572
| 12.821255
| 12.952337
| 13.294183
| 12.988304
| 11.838045
| 11.920216
| 11.701427
| 11.926682
| 11.963204
| 12.077843
| 12.074345
| 12.082777
| 11.911366
| 11.646183
|
hep-th/9801019
|
Danny Birmingham Staff
|
Danny Birmingham, Ivo Sachs, and Siddhartha Sen
|
Entropy of Three-Dimensional Black Holes in String Theory
|
7 pages, Latex, Two additional references
|
Phys.Lett. B424 (1998) 275-280
|
10.1016/S0370-2693(98)00236-6
| null |
hep-th gr-qc
| null |
It is observed that the three-dimensional BTZ black hole is a supersymmetric
solution of the low-energy field equations of heterotic string theory
compactified on an Einstein space. The solution involves a non-zero dilaton and
NS-NS H-field. The entropy of the extreme black hole can then be computed using
string theory and the asymptotic properties of anti-de Sitter space, without
recourse to a D-brane analysis. This provides an explicit example of a black
hole whose entropy can be computed using fundamental string theory, as
advocated by Susskind.
|
[
{
"created": "Mon, 5 Jan 1998 21:01:10 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jan 1998 13:55:21 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Birmingham",
"Danny",
""
],
[
"Sachs",
"Ivo",
""
],
[
"Sen",
"Siddhartha",
""
]
] |
It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS H-field. The entropy of the extreme black hole can then be computed using string theory and the asymptotic properties of anti-de Sitter space, without recourse to a D-brane analysis. This provides an explicit example of a black hole whose entropy can be computed using fundamental string theory, as advocated by Susskind.
| 8.413419
| 7.016408
| 8.485207
| 6.792844
| 7.010214
| 6.667645
| 6.743769
| 7.129917
| 6.80577
| 8.805468
| 7.128094
| 7.235765
| 7.516688
| 7.410764
| 7.17297
| 7.386933
| 7.418633
| 7.086808
| 7.332107
| 8.098228
| 7.277059
|
hep-th/9512089
| null |
J. Rahmfeld
|
Extremal Black Holes as Bound States
|
9 pages, LaTex, to appear in PLB, references added
|
Phys.Lett. B372 (1996) 198-203
|
10.1016/0370-2693(96)00063-9
| null |
hep-th
| null |
We consider a simple static extremal multi-black hole solution with
constituents charged under different $U(1)$ fields. Each of the constituents by
itself is an extremal dilatonic black hole of coupling $a=\srt$. For a special
case with two electrically and two magnetically charged black holes the
multi-black hole solution interpolates between the familiar
$a=\sqrt{3},1,\frac{1}{\sqrt{3}}$ and $0$ solutions, depending on how many
black holes are placed at infinity. This proves the hypothesis that black holes
with the above dilaton couplings arise in string theory as bound states of
fundamental $a=\sqrt{3}$ states with zero binding energy. We also generalize
the result to states where the action does not admit a single scalar truncation
and show that a wide class of dyonic black holes in toroidally compactified
string theory can be viewed as bound states of fundamental $a=\srt$ black
holes.
|
[
{
"created": "Wed, 13 Dec 1995 07:49:15 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Feb 1996 07:28:10 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Rahmfeld",
"J.",
""
]
] |
We consider a simple static extremal multi-black hole solution with constituents charged under different $U(1)$ fields. Each of the constituents by itself is an extremal dilatonic black hole of coupling $a=\srt$. For a special case with two electrically and two magnetically charged black holes the multi-black hole solution interpolates between the familiar $a=\sqrt{3},1,\frac{1}{\sqrt{3}}$ and $0$ solutions, depending on how many black holes are placed at infinity. This proves the hypothesis that black holes with the above dilaton couplings arise in string theory as bound states of fundamental $a=\sqrt{3}$ states with zero binding energy. We also generalize the result to states where the action does not admit a single scalar truncation and show that a wide class of dyonic black holes in toroidally compactified string theory can be viewed as bound states of fundamental $a=\srt$ black holes.
| 9.219916
| 8.204899
| 9.389375
| 8.457087
| 8.744872
| 8.891608
| 8.20318
| 7.896558
| 8.556217
| 9.122824
| 8.384441
| 8.738901
| 8.746037
| 8.365108
| 8.622478
| 8.501549
| 8.193583
| 8.111381
| 8.393962
| 9.139365
| 8.435789
|
1809.05102
|
Christopher Verhaaren
|
John Terning and Christopher B. Verhaaren
|
Resolving the Weinberg Paradox with Topology
|
29 pages, 4 figures; Small typos fixed, references added
|
JHEP 1903 (2019) 177
|
10.1007/JHEP03(2019)177
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Long ago Weinberg showed, from first principles, that the amplitude for a
single photon exchange between an electric current and a magnetic current
violates Lorentz invariance. The obvious conclusion at the time was that
monopoles were not allowed in quantum field theory. Since the discovery of
topological monopoles there has thus been a paradox. On the one hand,
topological monopoles are constructed in Lorentz invariant quantum field
theories, while on the other hand, the low-energy effective theory for such
monopoles will reproduce Weinberg's result. We examine a toy model where both
electric and magnetic charges are perturbatively coupled and show how
soft-photon resummation for hard scattering exponentiates the Lorentz violating
pieces to a phase that is the covariant form of the Aharonov-Bohm phase due to
the Dirac string. The modulus of the scattering amplitudes (and hence
observables) are Lorentz invariant, and when Dirac charge quantization is
imposed the amplitude itself is also Lorentz invariant. For closed paths there
is a topological component of the phase that relates to aspects of 4D
topological quantum field theory.
|
[
{
"created": "Thu, 13 Sep 2018 18:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Apr 2019 23:28:01 GMT",
"version": "v2"
}
] |
2019-04-04
|
[
[
"Terning",
"John",
""
],
[
"Verhaaren",
"Christopher B.",
""
]
] |
Long ago Weinberg showed, from first principles, that the amplitude for a single photon exchange between an electric current and a magnetic current violates Lorentz invariance. The obvious conclusion at the time was that monopoles were not allowed in quantum field theory. Since the discovery of topological monopoles there has thus been a paradox. On the one hand, topological monopoles are constructed in Lorentz invariant quantum field theories, while on the other hand, the low-energy effective theory for such monopoles will reproduce Weinberg's result. We examine a toy model where both electric and magnetic charges are perturbatively coupled and show how soft-photon resummation for hard scattering exponentiates the Lorentz violating pieces to a phase that is the covariant form of the Aharonov-Bohm phase due to the Dirac string. The modulus of the scattering amplitudes (and hence observables) are Lorentz invariant, and when Dirac charge quantization is imposed the amplitude itself is also Lorentz invariant. For closed paths there is a topological component of the phase that relates to aspects of 4D topological quantum field theory.
| 8.611465
| 9.497685
| 8.671652
| 8.655691
| 9.002703
| 8.578203
| 8.598205
| 8.746916
| 8.650224
| 9.403637
| 8.774309
| 8.312875
| 8.456057
| 8.367918
| 8.446279
| 8.517362
| 8.341021
| 8.330408
| 8.410934
| 8.645074
| 8.490556
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.