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2.01k
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| perplexity_s5-L-3.1-8B-base
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414
| perplexity_s6-L-3.1-8B-base
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340
| perplexity_s7-L-3.1-8B-base
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795
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1802.10263
|
Grigory Tarnopolsky
|
Igor R. Klebanov, Alexey Milekhin, Fedor Popov, Grigory Tarnopolsky
|
Spectra of Eigenstates in Fermionic Tensor Quantum Mechanics
|
42 pages, 1 figure. v2: minor improvements, references added. v3:
minor corrections. v4: minor improvements
|
Phys. Rev. D 97, 106023 (2018)
|
10.1103/PhysRevD.97.106023
|
PUPT-2552
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the $O(N_1)\times O(N_2)\times O(N_3)$ symmetric quantum mechanics
of 3-index Majorana fermions. When the ranks $N_i$ are all equal, this model
has a large $N$ limit which is dominated by the melonic Feynman diagrams. We
derive an integral formula which computes the number of $SO(N_1)\times
SO(N_2)\times SO(N_3)$ invariant states for any set of $N_i$. For equal ranks
the number of singlets is non-vanishing only when $N$ is even, and it exhibits
rapid growth: it jumps from $36$ in the $O(4)^3$ model to $595354780$ in the
$O(6)^3$ model. We derive bounds on the values of energy, which show that they
scale at most as $N^3$ in the large $N$ limit, in agreement with expectations.
We also show that the splitting between the lowest singlet and non-singlet
states is of order $1/N$. For $N_3=1$ the tensor model reduces to $O(N_1)\times
O(N_2)$ fermionic matrix quantum mechanics, and we find a simple expression for
the Hamiltonian in terms of the quadratic Casimir operators of the symmetry
group. A similar expression is derived for the complex matrix model with
$SU(N_1)\times SU(N_2)\times U(1)$ symmetry. Finally, we study the $N_3=2$ case
of the tensor model, which gives a more intricate complex matrix model whose
symmetry is only $O(N_1)\times O(N_2)\times U(1)$. All energies are again
integers in appropriate units, and we derive a concise formula for the
spectrum. The fermionic matrix models we studied possess standard 't Hooft
large $N$ limits where the ground state energies are of order $N^2$, while the
energy gaps are of order $1$.
|
[
{
"created": "Wed, 28 Feb 2018 05:06:35 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Mar 2018 22:19:21 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Jul 2018 06:55:04 GMT",
"version": "v3"
},
{
"created": "Tue, 31 Jul 2018 03:03:52 GMT",
"version": "v4"
}
] |
2018-08-01
|
[
[
"Klebanov",
"Igor R.",
""
],
[
"Milekhin",
"Alexey",
""
],
[
"Popov",
"Fedor",
""
],
[
"Tarnopolsky",
"Grigory",
""
]
] |
We study the $O(N_1)\times O(N_2)\times O(N_3)$ symmetric quantum mechanics of 3-index Majorana fermions. When the ranks $N_i$ are all equal, this model has a large $N$ limit which is dominated by the melonic Feynman diagrams. We derive an integral formula which computes the number of $SO(N_1)\times SO(N_2)\times SO(N_3)$ invariant states for any set of $N_i$. For equal ranks the number of singlets is non-vanishing only when $N$ is even, and it exhibits rapid growth: it jumps from $36$ in the $O(4)^3$ model to $595354780$ in the $O(6)^3$ model. We derive bounds on the values of energy, which show that they scale at most as $N^3$ in the large $N$ limit, in agreement with expectations. We also show that the splitting between the lowest singlet and non-singlet states is of order $1/N$. For $N_3=1$ the tensor model reduces to $O(N_1)\times O(N_2)$ fermionic matrix quantum mechanics, and we find a simple expression for the Hamiltonian in terms of the quadratic Casimir operators of the symmetry group. A similar expression is derived for the complex matrix model with $SU(N_1)\times SU(N_2)\times U(1)$ symmetry. Finally, we study the $N_3=2$ case of the tensor model, which gives a more intricate complex matrix model whose symmetry is only $O(N_1)\times O(N_2)\times U(1)$. All energies are again integers in appropriate units, and we derive a concise formula for the spectrum. The fermionic matrix models we studied possess standard 't Hooft large $N$ limits where the ground state energies are of order $N^2$, while the energy gaps are of order $1$.
| 5.419546
| 5.493606
| 5.862377
| 5.146841
| 5.216193
| 5.307472
| 4.971683
| 5.285882
| 5.15624
| 5.947873
| 5.011661
| 5.325127
| 5.525027
| 5.203315
| 5.14915
| 5.373657
| 5.282782
| 5.274541
| 5.273926
| 5.631748
| 5.228801
|
0705.3532
|
Hiroaki Nakajima
|
Katsushi Ito, Hiroaki Nakajima, Shin Sasaki
|
Deformation of Super Yang-Mills Theories in R-R 3-form Background
|
v2: reference added, v3: published version in JHEP
|
JHEP 0707:068,2007
|
10.1088/1126-6708/2007/07/068
|
TIT/HEP-572, HIP-2007-29/TH
|
hep-th
| null |
We study deformation of N=2 and N=4 super Yang-Mills theories, which are
obtained as the low-energy effective theories on the (fractional) D3-branes in
the presence of constant Ramond-Ramond 3-form background. We calculate the
Lagrangian at the second order in the deformation parameter from open string
disk amplitudes. In N=4 case we find that all supersymmetries are broken for
generic deformation parameter but part of supersymmetries are unbroken for
special case. We also find that classical vacua admit fuzzy sphere
configuration. In N=2 case we determine the deformed supersymmetries. We
rewrite the deformed Lagrangians in terms of N=1 superspace, where the
deformation is interpreted as that of coupling constants.
|
[
{
"created": "Thu, 24 May 2007 09:10:24 GMT",
"version": "v1"
},
{
"created": "Thu, 31 May 2007 05:33:49 GMT",
"version": "v2"
},
{
"created": "Sat, 28 Jul 2007 12:44:21 GMT",
"version": "v3"
}
] |
2009-04-17
|
[
[
"Ito",
"Katsushi",
""
],
[
"Nakajima",
"Hiroaki",
""
],
[
"Sasaki",
"Shin",
""
]
] |
We study deformation of N=2 and N=4 super Yang-Mills theories, which are obtained as the low-energy effective theories on the (fractional) D3-branes in the presence of constant Ramond-Ramond 3-form background. We calculate the Lagrangian at the second order in the deformation parameter from open string disk amplitudes. In N=4 case we find that all supersymmetries are broken for generic deformation parameter but part of supersymmetries are unbroken for special case. We also find that classical vacua admit fuzzy sphere configuration. In N=2 case we determine the deformed supersymmetries. We rewrite the deformed Lagrangians in terms of N=1 superspace, where the deformation is interpreted as that of coupling constants.
| 6.405816
| 5.307986
| 6.626828
| 5.556066
| 5.2554
| 5.515464
| 5.341231
| 5.391045
| 5.633172
| 6.96233
| 5.442156
| 6.007934
| 6.519401
| 5.918594
| 5.720448
| 5.674235
| 5.730266
| 5.813176
| 5.896821
| 6.373611
| 5.860932
|
hep-th/0401191
|
Giovanni Felder
|
Giovanni Felder and Roman Riser (ETH Zurich)
|
Holomorphic matrix integrals
|
9 pages, 1 figure, reference added
|
Nucl.Phys. B691 (2004) 251-258
|
10.1016/j.nuclphysb.2004.05.010
| null |
hep-th
| null |
We study a class of holomorphic matrix models. The integrals are taken over
middle dimensional cycles in the space of complex square matrices. As the size
of the matrices tends to infinity, the distribution of eigenvalues is given by
a measure with support on a collection of arcs in the complex planes. We show
that the arcs are level sets of the imaginary part of a hyperelliptic integral
connecting branch points.
|
[
{
"created": "Mon, 26 Jan 2004 07:02:23 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Feb 2004 15:35:57 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Felder",
"Giovanni",
"",
"ETH Zurich"
],
[
"Riser",
"Roman",
"",
"ETH Zurich"
]
] |
We study a class of holomorphic matrix models. The integrals are taken over middle dimensional cycles in the space of complex square matrices. As the size of the matrices tends to infinity, the distribution of eigenvalues is given by a measure with support on a collection of arcs in the complex planes. We show that the arcs are level sets of the imaginary part of a hyperelliptic integral connecting branch points.
| 9.169962
| 9.100631
| 9.675649
| 8.390651
| 9.377381
| 9.257697
| 8.096177
| 7.928234
| 8.703091
| 10.288461
| 8.003375
| 8.128619
| 8.641857
| 8.20905
| 8.191593
| 8.136947
| 8.214361
| 8.160715
| 7.886891
| 8.386965
| 7.929101
|
0808.1357
|
Carlo Angelantonj
|
C. Angelantonj, C. Kounnas, H. Partouche and N. Toumbas
|
Resolution of Hagedorn singularity in superstrings with gravito-magnetic
fluxes
|
LaTeX, 1+23 pages. v2 Section 2.1 expanded. Misprints corrected. To
appear in Nuclear Physics B
|
Nucl.Phys.B809:291-307,2009
|
10.1016/j.nuclphysb.2008.10.010
|
LPTENS 08/43, CPHT-RR055.0708, DFTT 24/2008
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider closed type II and orientifold backgrounds where supersymmetry is
spontaneously broken by asymmetric geometrical fluxes. We show that these can
be used to describe thermal ensembles with chemical potentials associated to
"gravito-magnetic" fluxes. The thermal free energy is computed at the one-loop
string level, and it is shown to be free of the usual Hagedorn-like
instabilities for a certain choice of the chemical potentials. In the closed
string gravitational sector, as well as in the open string matter sector of the
proposed orientifold construction, the free energy turns out to have
"Temperature duality" symmetry, ${\cal F}(T/T_H)={T^2\over T_H^2} {\cal
F}(T_H/T)$, which requires interchanging the space-time spinor representations
$S\leftrightarrow C$. For small temperatures, $T\to 0$, the anti-spinor $C$
decouples from the spectrum while for large temperatures, $T\to \infty$, the
spinor $S$ decouples. In both limits the free energy vanishes, as we recover a
conventional type II superstring theory. At the self dual point $T=T_H$, the
thermal spectra of $S$ and $C$ are identical. Moreover, there are extra
massless scalars in the adjoint representation of an SO(4) non-abelian gauge
symmetry in the closed-string sector, and open-string massless states charged
simultaneously under both the Chan-Paton and the closed-string SO(4) gauge
group.
|
[
{
"created": "Sat, 9 Aug 2008 14:16:31 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Nov 2008 14:22:14 GMT",
"version": "v2"
}
] |
2008-12-18
|
[
[
"Angelantonj",
"C.",
""
],
[
"Kounnas",
"C.",
""
],
[
"Partouche",
"H.",
""
],
[
"Toumbas",
"N.",
""
]
] |
We consider closed type II and orientifold backgrounds where supersymmetry is spontaneously broken by asymmetric geometrical fluxes. We show that these can be used to describe thermal ensembles with chemical potentials associated to "gravito-magnetic" fluxes. The thermal free energy is computed at the one-loop string level, and it is shown to be free of the usual Hagedorn-like instabilities for a certain choice of the chemical potentials. In the closed string gravitational sector, as well as in the open string matter sector of the proposed orientifold construction, the free energy turns out to have "Temperature duality" symmetry, ${\cal F}(T/T_H)={T^2\over T_H^2} {\cal F}(T_H/T)$, which requires interchanging the space-time spinor representations $S\leftrightarrow C$. For small temperatures, $T\to 0$, the anti-spinor $C$ decouples from the spectrum while for large temperatures, $T\to \infty$, the spinor $S$ decouples. In both limits the free energy vanishes, as we recover a conventional type II superstring theory. At the self dual point $T=T_H$, the thermal spectra of $S$ and $C$ are identical. Moreover, there are extra massless scalars in the adjoint representation of an SO(4) non-abelian gauge symmetry in the closed-string sector, and open-string massless states charged simultaneously under both the Chan-Paton and the closed-string SO(4) gauge group.
| 7.78426
| 8.115989
| 8.645891
| 8.36987
| 8.298246
| 8.349116
| 8.346766
| 8.264194
| 7.777624
| 9.65169
| 7.747066
| 7.726941
| 7.880942
| 7.6623
| 7.584913
| 7.73649
| 7.681053
| 7.741584
| 7.613527
| 7.771722
| 7.618423
|
2407.04789
|
Bin Zhu
|
Romain Ruzziconi, Stephan Stieberger, Tomasz R. Taylor, Bin Zhu
|
Differential Equations for Carrollian Amplitudes
|
29 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Differential equations are powerful tools in the study of correlation
functions in conformal field theories (CFTs). Carrollian amplitudes behave as
correlation functions of Carrollian CFT that holographically describes
asymptotically flat spacetime. We derive linear differential equations
satisfied by Carrollian MHV gluon and graviton amplitudes. We obtain
non-distributional solutions for both the gluon and graviton cases. We perform
various consistency checks for these differential equations, including
compatibility with conformal Carrollian symmetries.
|
[
{
"created": "Fri, 5 Jul 2024 18:04:05 GMT",
"version": "v1"
}
] |
2024-07-09
|
[
[
"Ruzziconi",
"Romain",
""
],
[
"Stieberger",
"Stephan",
""
],
[
"Taylor",
"Tomasz R.",
""
],
[
"Zhu",
"Bin",
""
]
] |
Differential equations are powerful tools in the study of correlation functions in conformal field theories (CFTs). Carrollian amplitudes behave as correlation functions of Carrollian CFT that holographically describes asymptotically flat spacetime. We derive linear differential equations satisfied by Carrollian MHV gluon and graviton amplitudes. We obtain non-distributional solutions for both the gluon and graviton cases. We perform various consistency checks for these differential equations, including compatibility with conformal Carrollian symmetries.
| 9.580638
| 8.065254
| 9.908145
| 7.614059
| 8.278719
| 7.659368
| 7.381755
| 7.953249
| 7.393111
| 10.80855
| 8.742861
| 8.306577
| 9.002625
| 8.398468
| 7.972615
| 8.534959
| 8.18769
| 8.693153
| 8.512136
| 9.247749
| 8.363951
|
0901.1182
|
Christoffer Petersson
|
Gabriele Ferretti, Christoffer Petersson
|
Non-Perturbative Effects on a Fractional D3-Brane
|
18 pages, v3: refs added
| null |
10.1088/1126-6708/2009/03/040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we study the N=1 abelian gauge theory on the world volume of a
single fractional D3-brane. In the limit where gravitational interactions are
not completely decoupled we find that a superpotential and a fermionic bilinear
condensate are generated by a D-brane instanton effect. A related situation
arises for an isolated cycle invariant under an orientifold projection, even in
the absence of any gauge theory brane. Moreover, in presence of supersymmetry
breaking background fluxes, such instanton configurations induce new couplings
in the 4-dimensional effective action, including non-perturbative contributions
to the cosmological constant and non-supersymmetric mass terms.
|
[
{
"created": "Fri, 9 Jan 2009 16:51:41 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jan 2009 16:22:08 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Mar 2009 16:04:56 GMT",
"version": "v3"
}
] |
2009-11-13
|
[
[
"Ferretti",
"Gabriele",
""
],
[
"Petersson",
"Christoffer",
""
]
] |
In this note we study the N=1 abelian gauge theory on the world volume of a single fractional D3-brane. In the limit where gravitational interactions are not completely decoupled we find that a superpotential and a fermionic bilinear condensate are generated by a D-brane instanton effect. A related situation arises for an isolated cycle invariant under an orientifold projection, even in the absence of any gauge theory brane. Moreover, in presence of supersymmetry breaking background fluxes, such instanton configurations induce new couplings in the 4-dimensional effective action, including non-perturbative contributions to the cosmological constant and non-supersymmetric mass terms.
| 9.334411
| 8.501603
| 10.123169
| 9.221549
| 9.064076
| 8.696976
| 9.057142
| 8.545243
| 9.06602
| 11.157722
| 8.572665
| 8.825292
| 9.469781
| 8.748163
| 8.66232
| 9.05489
| 9.161313
| 8.88842
| 8.992978
| 9.381774
| 8.90827
|
1405.5215
|
Christoph Adam
|
C. Adam, T. Romanczukiewicz, J. Sanchez-Guillen, A. Wereszczynski
|
Magnetothermodynamics of BPS baby skyrmions
|
Latex, 39 pages, 14 figures. v2: New results and references added,
physical interpretation partly changed
| null |
10.1007/JHEP11(2014)095
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The magnetothermodynamics of skyrmion type matter described by the gauged BPS
baby Skyrme model at zero temperature is investigated. We prove that the BPS
property of the model is preserved also for boundary conditions corresponding
to an asymptotically constant magnetic field. The BPS bound and the
corresponding BPS equations saturating the bound are found. Further, we show
that one may introduce pressure in the gauged model by a redefinition of the
superpotential. Interestingly, this is related to non-extremal type solutions
in the so-called fake supersymmetry method. Finally, we compute the equation of
state of magnetized BSP baby skyrmions inserted into an external constant
magnetic field $H$ and under external pressure $P$, i.e., $V=V(P,H)$, where $V$
is the "volume" (area) occupied by the skyrmions. We show that the BPS baby
skyrmions form a ferromagnetic medium.
|
[
{
"created": "Tue, 20 May 2014 20:00:07 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Jun 2014 18:02:14 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Adam",
"C.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
The magnetothermodynamics of skyrmion type matter described by the gauged BPS baby Skyrme model at zero temperature is investigated. We prove that the BPS property of the model is preserved also for boundary conditions corresponding to an asymptotically constant magnetic field. The BPS bound and the corresponding BPS equations saturating the bound are found. Further, we show that one may introduce pressure in the gauged model by a redefinition of the superpotential. Interestingly, this is related to non-extremal type solutions in the so-called fake supersymmetry method. Finally, we compute the equation of state of magnetized BSP baby skyrmions inserted into an external constant magnetic field $H$ and under external pressure $P$, i.e., $V=V(P,H)$, where $V$ is the "volume" (area) occupied by the skyrmions. We show that the BPS baby skyrmions form a ferromagnetic medium.
| 8.596288
| 8.751224
| 8.785037
| 8.783587
| 8.594536
| 8.789781
| 8.404451
| 8.120044
| 7.74343
| 9.94535
| 8.308975
| 8.230743
| 8.75731
| 8.520883
| 8.46135
| 8.24142
| 8.172124
| 8.272642
| 8.36142
| 8.898162
| 8.382515
|
hep-th/9311021
|
Henry Tye
|
S.-H.H. Tye
|
Status of Fractional Superstrings
|
15 pages
| null | null | null |
hep-th
| null |
A brief review of the motivation and the present status of Fractional
Superstring is presented. Talk at ``Strings 93'', Berkeley, May 1993.
|
[
{
"created": "Wed, 3 Nov 1993 16:01:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tye",
"S. -H. H.",
""
]
] |
A brief review of the motivation and the present status of Fractional Superstring is presented. Talk at ``Strings 93'', Berkeley, May 1993.
| 21.845951
| 7.454038
| 14.038841
| 7.641068
| 8.276642
| 7.965851
| 7.177238
| 7.304807
| 7.456034
| 21.696585
| 7.688527
| 10.386481
| 13.785676
| 10.34409
| 10.713243
| 11.8511
| 10.338131
| 11.477501
| 10.305039
| 13.8499
| 11.653005
|
2010.06106
|
Masashi Zenkai
|
Tadakatsu Sakai and Masashi Zenkai
|
Comments on contact terms and conformal manifolds in the AdS/CFT
correspondence
|
16 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the contact terms that appear in the correlation functions of
exactly marginal operators using the AdS/CFT correspondence. It is known that
CFT with an exactly marginal deformation requires the existence of the contact
terms with their coefficients having a geometrical interpretation in the
context of conformal manifolds. We show that the AdS/CFT correspondence
captures properly the mathematical structure of the correlation functions that
is expected from the CFT analysis. For this purpose, we employ holographic RG
to formulate a most general setup in the bulk for describing an exactly
marginal deformation. The resultant bulk equations of motion are nonlinear and
solved perturbatively to obtain the on-shell action. We compute three- and
four-point functions of the exactly marginal operators using the GKP-Witten
prescription, and show that they match with the expected results precisely. The
cut-off surface prescription in the bulk serves as a regularization scheme for
conformal perturbation theory in the boundary CFT. As an application, we
examine a double OPE limit of the four-point functions. The anomalous
dimensions of double trace operators are written in terms of the geometrical
data of a conformal manifold.
|
[
{
"created": "Tue, 13 Oct 2020 01:22:45 GMT",
"version": "v1"
}
] |
2020-10-14
|
[
[
"Sakai",
"Tadakatsu",
""
],
[
"Zenkai",
"Masashi",
""
]
] |
We study the contact terms that appear in the correlation functions of exactly marginal operators using the AdS/CFT correspondence. It is known that CFT with an exactly marginal deformation requires the existence of the contact terms with their coefficients having a geometrical interpretation in the context of conformal manifolds. We show that the AdS/CFT correspondence captures properly the mathematical structure of the correlation functions that is expected from the CFT analysis. For this purpose, we employ holographic RG to formulate a most general setup in the bulk for describing an exactly marginal deformation. The resultant bulk equations of motion are nonlinear and solved perturbatively to obtain the on-shell action. We compute three- and four-point functions of the exactly marginal operators using the GKP-Witten prescription, and show that they match with the expected results precisely. The cut-off surface prescription in the bulk serves as a regularization scheme for conformal perturbation theory in the boundary CFT. As an application, we examine a double OPE limit of the four-point functions. The anomalous dimensions of double trace operators are written in terms of the geometrical data of a conformal manifold.
| 8.104222
| 8.277493
| 8.896893
| 7.817276
| 8.367168
| 8.200672
| 7.98447
| 8.072628
| 7.921417
| 9.590207
| 7.937049
| 7.846909
| 8.215414
| 7.927699
| 7.935655
| 7.983488
| 7.835497
| 7.945556
| 7.756664
| 8.209766
| 7.900826
|
1402.2557
|
Fabio Riccioni
|
Eric A. Bergshoeff, Fabio Riccioni and Luca Romano
|
Towards a classification of branes in theories with eight supercharges
|
47 pages, 8 figures
| null |
10.1007/JHEP05(2014)070
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a classification of half-supersymmetric branes in quarter-maximal
supergravity theories with scalars parametrising coset manifolds. Guided by the
results previously obtained for the half-maximal theories, we are able to show
that half-supersymmetric branes correspond to the real longest weights of the
representations of the brane charges, where the reality properties of the
weights are determined from the Tits-Satake diagrams associated to the global
symmetry groups. We show that the resulting brane structure is universal for
all theories that can be uplifted to six dimensions. We also show that when
viewing these theories as low-energy theories for the suitably compactified
heterotic string, the classification we obtain is in perfect agreement with the
wrapping rules derived in previous works for the same theory compactified on
tori. Finally, we relate the branes to the R-symmetry representations of the
central charges and we show that in general the degeneracies of the BPS
conditions are twice those of the half-maximal theories and four times those of
the maximal ones.
|
[
{
"created": "Tue, 11 Feb 2014 16:44:25 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Bergshoeff",
"Eric A.",
""
],
[
"Riccioni",
"Fabio",
""
],
[
"Romano",
"Luca",
""
]
] |
We provide a classification of half-supersymmetric branes in quarter-maximal supergravity theories with scalars parametrising coset manifolds. Guided by the results previously obtained for the half-maximal theories, we are able to show that half-supersymmetric branes correspond to the real longest weights of the representations of the brane charges, where the reality properties of the weights are determined from the Tits-Satake diagrams associated to the global symmetry groups. We show that the resulting brane structure is universal for all theories that can be uplifted to six dimensions. We also show that when viewing these theories as low-energy theories for the suitably compactified heterotic string, the classification we obtain is in perfect agreement with the wrapping rules derived in previous works for the same theory compactified on tori. Finally, we relate the branes to the R-symmetry representations of the central charges and we show that in general the degeneracies of the BPS conditions are twice those of the half-maximal theories and four times those of the maximal ones.
| 8.737079
| 8.676257
| 10.504973
| 8.223023
| 9.195277
| 8.302135
| 9.050775
| 8.017919
| 8.68185
| 10.909216
| 8.317028
| 8.350257
| 9.105312
| 8.269795
| 8.266486
| 8.277321
| 8.250353
| 8.289026
| 8.241669
| 8.622161
| 8.07741
|
2201.08762
|
Leonid Bork Dr
|
L.V. Bork, N.B. Muzhichkov, E.S. Sozinov
|
Infrared properties of five-point massive amplitudes in N=4 SYM on the
Coulomb branch
|
29 pages, 7 figures v3: minor changes, typos corrected
| null |
10.1007/JHEP08(2022)173
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the structure of the five-point W boson scattering amplitude
in N=4 SYM on the Coulomb branch in a small mass limit. We show that up to two
loops the IR divergences exponentiate and are controlled by the $\Gamma_{oct}$
anomalous dimension similar to the four-point amplitude case considered
recently in the literature. We also make a conjecture regarding the all-loop
structure of the five-point amplitude
|
[
{
"created": "Fri, 21 Jan 2022 16:21:22 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jan 2022 19:42:12 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Apr 2022 15:33:33 GMT",
"version": "v3"
}
] |
2022-09-07
|
[
[
"Bork",
"L. V.",
""
],
[
"Muzhichkov",
"N. B.",
""
],
[
"Sozinov",
"E. S.",
""
]
] |
We investigate the structure of the five-point W boson scattering amplitude in N=4 SYM on the Coulomb branch in a small mass limit. We show that up to two loops the IR divergences exponentiate and are controlled by the $\Gamma_{oct}$ anomalous dimension similar to the four-point amplitude case considered recently in the literature. We also make a conjecture regarding the all-loop structure of the five-point amplitude
| 9.425331
| 6.580545
| 8.627872
| 7.69776
| 8.285517
| 7.36322
| 7.903652
| 7.113449
| 7.515713
| 8.894738
| 7.550636
| 7.900172
| 8.567583
| 8.087984
| 8.119488
| 8.256097
| 8.007801
| 7.999529
| 8.348998
| 8.25424
| 8.032071
|
0709.3069
|
Srikumar Sen Gupta
|
Srikumar Sen Gupta
|
Brane Solutions in Time Dependent Backgrounds in D = 11 Supergravity and
in Type II String Theories
|
20 pages
|
Int.J.Mod.Phys.A23:2525-2540,2008
|
10.1142/S0217751X08039797
| null |
hep-th
| null |
We obtain explicit time dependent brane solutions in M-theory as well as in
string theory by solving the reduced equations of motion (which follow from
11-d supergravity) for a class of brane solutions in curved backgrounds. The
behaviour of our solutions in both asymptotic and near-horizon limits are
studied. It is shown that our time dependent solutions serve as explicit
examples of branes in singular, cosmological backgrounds. In some special cases
the asymptotic and the boundary AdS solutions can be identified as Milne X R^n
spacetime.
|
[
{
"created": "Wed, 19 Sep 2007 16:55:15 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gupta",
"Srikumar Sen",
""
]
] |
We obtain explicit time dependent brane solutions in M-theory as well as in string theory by solving the reduced equations of motion (which follow from 11-d supergravity) for a class of brane solutions in curved backgrounds. The behaviour of our solutions in both asymptotic and near-horizon limits are studied. It is shown that our time dependent solutions serve as explicit examples of branes in singular, cosmological backgrounds. In some special cases the asymptotic and the boundary AdS solutions can be identified as Milne X R^n spacetime.
| 13.894872
| 11.622445
| 13.92417
| 11.815738
| 11.287364
| 12.226788
| 11.617386
| 12.335746
| 11.649521
| 15.393934
| 11.798541
| 12.81569
| 13.583898
| 12.681005
| 12.509291
| 12.533478
| 12.626765
| 12.81118
| 12.792711
| 14.163891
| 12.859685
|
1004.0554
|
Alejandra Castro
|
Alejandra Castro, Cynthia Keeler and Finn Larsen
|
Three Dimensional Origin of AdS_2 Quantum Gravity
|
28 pages
|
JHEP 1007:033,2010
|
10.1007/JHEP07(2010)033
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study AdS_2 quantum gravity with emphasis on consistency with results from
AdS_3. We lift AdS_2 black holes to three dimensions and map fluctuations
around the solutions. Comparison with near extremal BTZ are discussed, with due
emphasis on global aspects. The results confirm that parameters like central
charges and conformal weights computed directly in 2D are consistent with
standard results in 3D. Applying our results to the thermodynamics of near
extreme Kerr black holes, we show that AdS_2 quantum gravity gives the correct
central charge c=12J, and the entropy of excitations above the extremal limit
is captured correctly.
|
[
{
"created": "Mon, 5 Apr 2010 02:16:33 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Castro",
"Alejandra",
""
],
[
"Keeler",
"Cynthia",
""
],
[
"Larsen",
"Finn",
""
]
] |
We study AdS_2 quantum gravity with emphasis on consistency with results from AdS_3. We lift AdS_2 black holes to three dimensions and map fluctuations around the solutions. Comparison with near extremal BTZ are discussed, with due emphasis on global aspects. The results confirm that parameters like central charges and conformal weights computed directly in 2D are consistent with standard results in 3D. Applying our results to the thermodynamics of near extreme Kerr black holes, we show that AdS_2 quantum gravity gives the correct central charge c=12J, and the entropy of excitations above the extremal limit is captured correctly.
| 12.272564
| 12.322863
| 13.552726
| 11.957433
| 13.726471
| 12.995794
| 12.644374
| 11.789065
| 12.319304
| 15.119168
| 10.907885
| 12.245818
| 12.028611
| 11.931933
| 12.129194
| 12.057174
| 12.640787
| 11.999844
| 11.877364
| 12.852962
| 11.612676
|
hep-th/9805148
|
Mkrtchyan Ruben
|
R. Manvelyan, A. Melikyan and R. Mkrtchyan
|
Representations and BPS states of 10+2 superalgebra
|
Minor changes.Accepted for publication in Mod.Phys.Lett.A.Latex file
|
Mod.Phys.Lett. A13 (1998) 2147-2152
|
10.1142/S0217732398002278
| null |
hep-th
| null |
The 12d supersymmetry algebra is considered, and classification of BPS states
for some canonical form of second-rank central charge is given. It is shown,
that possible fractions of survived supersymmetry can be 1/16, 1/8, 3/16, 1/4,
5/16 and 1/2, the values 3/8, 7/16 cannot be achieved in this way. The
consideration of a special case of non-zero sixth-rank tensor charge also is
included.
|
[
{
"created": "Fri, 22 May 1998 10:53:09 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Aug 1998 12:19:36 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Manvelyan",
"R.",
""
],
[
"Melikyan",
"A.",
""
],
[
"Mkrtchyan",
"R.",
""
]
] |
The 12d supersymmetry algebra is considered, and classification of BPS states for some canonical form of second-rank central charge is given. It is shown, that possible fractions of survived supersymmetry can be 1/16, 1/8, 3/16, 1/4, 5/16 and 1/2, the values 3/8, 7/16 cannot be achieved in this way. The consideration of a special case of non-zero sixth-rank tensor charge also is included.
| 10.165915
| 8.241722
| 10.088314
| 8.50938
| 9.526171
| 8.191887
| 8.646358
| 7.727538
| 8.771688
| 9.635923
| 8.464476
| 8.382685
| 9.225345
| 8.663543
| 8.589052
| 8.91556
| 8.404873
| 8.47651
| 8.292525
| 9.342838
| 8.550756
|
hep-th/9703093
|
Homayoun Hamidian
|
H. Hamidian (Stockholm University)
|
Quantum Critical Behavior in Gauged Yukawa Matrix Field Theories with
Quenched Disorder
|
8 pages, LaTeX, 1 eps figure
|
Phys.Lett. B403 (1997) 108-113
|
10.1016/S0370-2693(97)00469-3
| null |
hep-th cond-mat
| null |
We use the Wilson-Fisher $\epsilon$ expansion to study quantum critical
behavior in gauged Yukawa matrix field theories with weak quenched disorder. We
find that the resulting quantum critical behavior is in the universality class
of the pure system. As in the pure system, the phase transition is typically
first order, except for a limited range of parameters where it can be second
order with computable critical exponents. Our results apply to the study of
two-dimensional quantum antiferromagnets with weak quenched disorder and
provide an example for fluctuation-induced first order phase transitions in
circumstances where naively none is expected.
|
[
{
"created": "Wed, 12 Mar 1997 13:30:33 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Hamidian",
"H.",
"",
"Stockholm University"
]
] |
We use the Wilson-Fisher $\epsilon$ expansion to study quantum critical behavior in gauged Yukawa matrix field theories with weak quenched disorder. We find that the resulting quantum critical behavior is in the universality class of the pure system. As in the pure system, the phase transition is typically first order, except for a limited range of parameters where it can be second order with computable critical exponents. Our results apply to the study of two-dimensional quantum antiferromagnets with weak quenched disorder and provide an example for fluctuation-induced first order phase transitions in circumstances where naively none is expected.
| 8.922622
| 8.864827
| 7.838889
| 8.340841
| 9.077589
| 9.605328
| 9.393398
| 9.089253
| 8.598865
| 9.751513
| 8.257473
| 8.698786
| 8.725575
| 8.400347
| 8.650261
| 8.82312
| 8.609251
| 8.602414
| 8.18983
| 8.501122
| 8.680079
|
hep-th/0401189
|
Mauricio Cataldo MC
|
M. Cataldo, J. Crisostomo, S. del Campo and P. Salgado
|
On Magnetic solution to 2+1 Einstein--Maxwell gravity
|
3 pages, accepted for publication
|
Phys. Lett. B 584 (2004) 123-126
|
10.1016/j.physletb.2004.01.062
| null |
hep-th
| null |
The three--dimensional magnetic solution to the Einstein--Maxwell field
equations have been considered by some authors. Several interpretations have
been formulated for this magnetic spacetime. Up to now this solution has been
considered as a two--parameter self--consistent field. We point out that the
parameter related to the mass of this solution is just a pure gauge and can be
rescaled to minus one. This implies that the magnetic metric has really a
simple form and it is effectively one-parameter solution, which describes a
distribution of a radial magnetic field in a 2+1 anti--de Sitter background
space--time. We consider an alternative interpretation to the Dias--Lemos one
for the magnetic field source.
|
[
{
"created": "Sun, 25 Jan 2004 15:33:07 GMT",
"version": "v1"
}
] |
2014-10-15
|
[
[
"Cataldo",
"M.",
""
],
[
"Crisostomo",
"J.",
""
],
[
"del Campo",
"S.",
""
],
[
"Salgado",
"P.",
""
]
] |
The three--dimensional magnetic solution to the Einstein--Maxwell field equations have been considered by some authors. Several interpretations have been formulated for this magnetic spacetime. Up to now this solution has been considered as a two--parameter self--consistent field. We point out that the parameter related to the mass of this solution is just a pure gauge and can be rescaled to minus one. This implies that the magnetic metric has really a simple form and it is effectively one-parameter solution, which describes a distribution of a radial magnetic field in a 2+1 anti--de Sitter background space--time. We consider an alternative interpretation to the Dias--Lemos one for the magnetic field source.
| 14.071842
| 14.465273
| 12.702003
| 12.660686
| 14.069389
| 13.751762
| 13.788075
| 12.542249
| 12.845868
| 12.392766
| 14.406538
| 13.198389
| 12.704636
| 12.31345
| 12.425255
| 12.970291
| 13.107205
| 12.926885
| 13.1237
| 13.211197
| 13.040774
|
1905.01444
|
Gregory Korchemsky
|
G. P. Korchemsky
|
Energy correlations in the end-point region
|
31 pages, 1 figure
| null |
10.1007/JHEP01(2020)008
|
IPhT-T19/041
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The energy-energy correlation (EEC) measures the angular distribution of the
energy that flows through two calorimeters separated by some relative angle in
the final state created by a source. We study this observable in the limit of
small and large angles when it describes the correlation between particles
belonging, respectively, to the same jet and to two almost back-to-back jets.
We present a new approach to resumming large logarithmically enhanced
corrections in both limits that exploits the relation between the energy
correlations and four-point correlation functions of conserved currents. At
large angle, we derive the EEC from the behaviour of the correlation function
in the limit when four operators are light-like separated in a sequential
manner. At small angle, in a conformal theory, we obtain the EEC from
resummation of the conformal partial wave expansion of the correlation function
at short-distance separation between the calorimeters. In both cases, we obtain
a concise representation of the EEC in terms of the conformal data of twist-two
operators and verify it by comparing with the results of explicit calculation
at next-to-next-to-leading order in maximally supersymmetric Yang-Mills theory.
As a byproduct of our analysis, we predict the maximal weight part of the
analogous QCD expression in the back-to-back limit.
|
[
{
"created": "Sat, 4 May 2019 06:49:00 GMT",
"version": "v1"
}
] |
2020-01-29
|
[
[
"Korchemsky",
"G. P.",
""
]
] |
The energy-energy correlation (EEC) measures the angular distribution of the energy that flows through two calorimeters separated by some relative angle in the final state created by a source. We study this observable in the limit of small and large angles when it describes the correlation between particles belonging, respectively, to the same jet and to two almost back-to-back jets. We present a new approach to resumming large logarithmically enhanced corrections in both limits that exploits the relation between the energy correlations and four-point correlation functions of conserved currents. At large angle, we derive the EEC from the behaviour of the correlation function in the limit when four operators are light-like separated in a sequential manner. At small angle, in a conformal theory, we obtain the EEC from resummation of the conformal partial wave expansion of the correlation function at short-distance separation between the calorimeters. In both cases, we obtain a concise representation of the EEC in terms of the conformal data of twist-two operators and verify it by comparing with the results of explicit calculation at next-to-next-to-leading order in maximally supersymmetric Yang-Mills theory. As a byproduct of our analysis, we predict the maximal weight part of the analogous QCD expression in the back-to-back limit.
| 8.574423
| 9.329245
| 9.095033
| 8.065044
| 8.518946
| 8.805713
| 8.505959
| 8.030683
| 8.403608
| 9.595661
| 8.180885
| 7.978111
| 8.255919
| 8.264052
| 8.030028
| 8.16804
| 8.657615
| 8.216448
| 8.225094
| 8.613935
| 8.160926
|
0812.2992
|
Lorenz von Smekal
|
Lorenz von Smekal, Alexander Jorkowski, Dhagash Mehta and Andre
Sternbeck
|
Lattice Landau gauge via Stereographic Projection
|
5 pages, talk presented at the 8th Conference Quark Confinement and
the Hadron Spectrum, September 1-6, 2008, Mainz, Germany
|
PoS Confinement8:048,2008
| null |
ADP-08-15/T675
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The complete cancellation of Gribov copies and the Neuberger 0/0 problem of
lattice BRST can be avoided in modified lattice Landau gauge. In compact U(1),
where the problem is a lattice artifact, there remain to be Gribov copies but
their number is exponentially reduced. Moreover, there is no cancellation of
copies there as the sign of the Faddeev-Popov determinant is positive. Applied
to the maximal Abelian subgroup this avoids the perfect cancellation amongst
the remaining Gribov copies for SU(N) also. In addition, based on a definition
of gauge fields on the lattice as stereographically-projected link variables,
it provides a framework for gauge fixed Monte-Carlo simulations. This will
include all Gribov copies in the spirit of BRST. Their average is not zero, as
demonstrated explicitly in simple models. This might resolve present
discrepancies between gauge-fixed lattice and continuum studies of QCD Green's
functions.
|
[
{
"created": "Tue, 16 Dec 2008 07:52:28 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"von Smekal",
"Lorenz",
""
],
[
"Jorkowski",
"Alexander",
""
],
[
"Mehta",
"Dhagash",
""
],
[
"Sternbeck",
"Andre",
""
]
] |
The complete cancellation of Gribov copies and the Neuberger 0/0 problem of lattice BRST can be avoided in modified lattice Landau gauge. In compact U(1), where the problem is a lattice artifact, there remain to be Gribov copies but their number is exponentially reduced. Moreover, there is no cancellation of copies there as the sign of the Faddeev-Popov determinant is positive. Applied to the maximal Abelian subgroup this avoids the perfect cancellation amongst the remaining Gribov copies for SU(N) also. In addition, based on a definition of gauge fields on the lattice as stereographically-projected link variables, it provides a framework for gauge fixed Monte-Carlo simulations. This will include all Gribov copies in the spirit of BRST. Their average is not zero, as demonstrated explicitly in simple models. This might resolve present discrepancies between gauge-fixed lattice and continuum studies of QCD Green's functions.
| 15.952859
| 19.012678
| 16.586035
| 16.430075
| 16.374756
| 18.563498
| 18.387274
| 15.874163
| 15.937675
| 18.74612
| 16.926603
| 15.740271
| 15.351434
| 15.199224
| 15.393464
| 16.115883
| 15.667266
| 15.144028
| 14.96025
| 15.472964
| 15.277932
|
hep-th/9110025
|
Nigel J. Burroughs
|
Nigel J. Burroughs
|
Coadjoint Orbits of the Generalised Sl(2) Sl(3) Kdv Hierarchies
|
37 pages
|
Nucl.Phys. B379 (1992) 340-376
|
10.1016/0550-3213(92)90600-G
| null |
hep-th math.QA
| null |
In this paper we develop two coadjoint orbit constructions for the phase
spaces of the generalised $Sl(2)$ and $Sl(3)$ KdV hierachies. This involves the
construction of two group actions in terms of Yang Baxter operators, and an
Hamiltonian reduction of the coadjoint orbits. The Poisson brackets are
reproduced by the Kirillov construction. From this construction we obtain a
`natural' gauge fixing proceedure for the generalised hierarchies.
|
[
{
"created": "Wed, 9 Oct 1991 22:27:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Burroughs",
"Nigel J.",
""
]
] |
In this paper we develop two coadjoint orbit constructions for the phase spaces of the generalised $Sl(2)$ and $Sl(3)$ KdV hierachies. This involves the construction of two group actions in terms of Yang Baxter operators, and an Hamiltonian reduction of the coadjoint orbits. The Poisson brackets are reproduced by the Kirillov construction. From this construction we obtain a `natural' gauge fixing proceedure for the generalised hierarchies.
| 11.533015
| 10.392093
| 11.625643
| 10.431586
| 11.221961
| 10.860575
| 10.696904
| 10.894262
| 10.116206
| 14.112328
| 10.667633
| 10.027626
| 11.308814
| 9.871564
| 10.260066
| 10.392989
| 10.52071
| 10.271485
| 10.109409
| 10.997295
| 10.22877
|
hep-th/0108169
|
Alexander Sevrin
|
Paul Koerber and Alexander Sevrin
|
The non-abelian open superstring effective action through order
$\alpha'{}^3$
|
LaTeX, 29 pages; references added, typos corrected, following
suggestions of referee: title, introduction and conclusions altered
|
JHEP 0110:003,2001
|
10.1088/1126-6708/2001/10/003
| null |
hep-th
| null |
Using the method developed in {\tt hep-th/0103015}, we determine the
non-abelian Born-Infeld action through ${\cal O}(\alpha'{}^3)$. We start from
solutions to a Yang-Mills theory which define a stable holomorphic vector
bundle. Subsequently we investigate its deformation away from this limit.
Through $ {\cal O}(\alpha'{}^2)$, a unique, modulo field redefinitions,
solution emerges. At $ {\cal O}(\alpha'{}^3)$ we find a one-parameter family of
allowed deformations. The presence of derivative terms turns out to be
essential. Finally, we present a detailed comparison of our results to
existing, partial results.
|
[
{
"created": "Wed, 22 Aug 2001 19:09:12 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Sep 2001 16:24:19 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Koerber",
"Paul",
""
],
[
"Sevrin",
"Alexander",
""
]
] |
Using the method developed in {\tt hep-th/0103015}, we determine the non-abelian Born-Infeld action through ${\cal O}(\alpha'{}^3)$. We start from solutions to a Yang-Mills theory which define a stable holomorphic vector bundle. Subsequently we investigate its deformation away from this limit. Through $ {\cal O}(\alpha'{}^2)$, a unique, modulo field redefinitions, solution emerges. At $ {\cal O}(\alpha'{}^3)$ we find a one-parameter family of allowed deformations. The presence of derivative terms turns out to be essential. Finally, we present a detailed comparison of our results to existing, partial results.
| 9.14763
| 7.946265
| 9.296752
| 7.931669
| 8.149384
| 7.8365
| 8.150997
| 7.693176
| 7.969196
| 8.690368
| 8.028139
| 8.573963
| 8.709858
| 8.367715
| 8.441797
| 8.409956
| 8.364861
| 8.638602
| 8.288978
| 8.697142
| 8.514927
|
hep-th/0603104
|
Daniel Robbins
|
Emil J. Martinec, Daniel Robbins and Savdeep Sethi
|
Toward the End of Time
|
31 pages, reference added
|
JHEP0608:025,2006
|
10.1088/1126-6708/2006/08/025
|
EFI-06-03
|
hep-th
| null |
The null-brane space-time provides a simple model of a big crunch/big bang
singularity. A non-perturbative definition of M-theory on this space-time was
recently provided using matrix theory. We derive the fermion couplings for this
matrix model and study the leading quantum effects. These effects include
particle production and a time-dependent potential. Our results suggest that as
the null-brane develops a big crunch singularity, the usual notion of
space-time is replaced by an interacting gluon phase. This gluon phase appears
to constitute the end of our conventional picture of space and time.
|
[
{
"created": "Tue, 14 Mar 2006 00:54:59 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2006 20:42:14 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Martinec",
"Emil J.",
""
],
[
"Robbins",
"Daniel",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
The null-brane space-time provides a simple model of a big crunch/big bang singularity. A non-perturbative definition of M-theory on this space-time was recently provided using matrix theory. We derive the fermion couplings for this matrix model and study the leading quantum effects. These effects include particle production and a time-dependent potential. Our results suggest that as the null-brane develops a big crunch singularity, the usual notion of space-time is replaced by an interacting gluon phase. This gluon phase appears to constitute the end of our conventional picture of space and time.
| 10.75372
| 9.983524
| 12.873971
| 9.92964
| 10.031775
| 10.10273
| 10.691417
| 10.121646
| 10.052609
| 11.962111
| 9.500783
| 9.924461
| 10.885845
| 10.187751
| 9.823648
| 10.143153
| 9.859401
| 10.228305
| 9.824258
| 10.89838
| 9.977034
|
1612.01692
|
Emanuel Malek
|
Emanuel Malek
|
7-dimensional ${\cal N}=2$ Consistent Truncations using $\mathrm{SL}(5)$
Exceptional Field Theory
|
46 pages; v2: minor changes, published version
|
JHEP 1706 (2017) 026
|
10.1007/JHEP06(2017)026
|
LMU-ASC 61/16
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how to construct seven-dimensional half-maximally supersymmetric
consistent truncations of 11-/10-dimensional SUGRA using $\mathrm{SL}(5)$
exceptional field theory. Such truncations are defined on generalised
$\mathrm{SU}(2)$-structure manifolds and give rise to seven-dimensional
half-maximal gauged supergravities coupled to $n$ vector multiplets and thus
with scalar coset space $\mathbb{R}^+ \times
\mathrm{O}(3,n)/\mathrm{O}(3)\times\mathrm{O}(n)$. The consistency conditions
for the truncation can be written in terms of the generalised Lie derivative
and take a simple geometric form. We show that after imposing certain "doublet"
and "closure" conditions, the embedding tensor of the gauged supergravity is
given by the intrinsic torsion of generalised $\mathrm{SU}(2)$-connections and
automatically satisfies the linear constraint of seven-dimensional half-maximal
gauged supergravities, as well as the quadratic constraint when the section
condition is satisfied.
|
[
{
"created": "Tue, 6 Dec 2016 07:58:34 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jun 2017 12:50:08 GMT",
"version": "v2"
}
] |
2017-06-28
|
[
[
"Malek",
"Emanuel",
""
]
] |
We show how to construct seven-dimensional half-maximally supersymmetric consistent truncations of 11-/10-dimensional SUGRA using $\mathrm{SL}(5)$ exceptional field theory. Such truncations are defined on generalised $\mathrm{SU}(2)$-structure manifolds and give rise to seven-dimensional half-maximal gauged supergravities coupled to $n$ vector multiplets and thus with scalar coset space $\mathbb{R}^+ \times \mathrm{O}(3,n)/\mathrm{O}(3)\times\mathrm{O}(n)$. The consistency conditions for the truncation can be written in terms of the generalised Lie derivative and take a simple geometric form. We show that after imposing certain "doublet" and "closure" conditions, the embedding tensor of the gauged supergravity is given by the intrinsic torsion of generalised $\mathrm{SU}(2)$-connections and automatically satisfies the linear constraint of seven-dimensional half-maximal gauged supergravities, as well as the quadratic constraint when the section condition is satisfied.
| 5.019981
| 5.38874
| 5.611897
| 4.81941
| 5.220619
| 5.502918
| 5.106941
| 5.347785
| 5.234342
| 6.660593
| 4.941504
| 4.847861
| 5.056959
| 4.650127
| 4.778759
| 4.795146
| 4.758674
| 4.652094
| 4.751062
| 5.039248
| 4.758703
|
0901.2641
|
Francisco Diego Mazzitelli
|
Ezequiel Alvarez and Francisco D. Mazzitelli
|
Long range Casimir force induced by transverse electromagnetic modes
|
9 pages, 5 figures. A statement about the boundary conditions for the
Hertz potentials has been corrected. Some typos have been fixed. Results
remain unchanged
|
Phys.Rev.D79:045019,2009
|
10.1103/PhysRevD.79.045019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the interaction of two perfectly conducting plates of arbitrary
shape that are inside a non-simply connected cylinder with transverse section
of the same shape. We show that the existence of transverse electromagnetic
(TEM) modes produces a Casimir force that decays only as $1/a^2$, where $a$ is
the distance between plates. The TEM force does not depend on the area of the
plates and dominates at large distances over the force produced by the
transverse electric (TE) and transverse magnetic (TM) modes, providing in this
way a physical realization of the 1+1 dimensional Casimir effect. For the
particular case of a coaxial circular cylindrical cavity, we compute the TE, TM
and TEM contributions to the force, and find the critical distance for which
the TEM modes dominate.
|
[
{
"created": "Sat, 17 Jan 2009 14:48:50 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Mar 2009 13:35:08 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Apr 2009 19:01:13 GMT",
"version": "v3"
}
] |
2010-04-21
|
[
[
"Alvarez",
"Ezequiel",
""
],
[
"Mazzitelli",
"Francisco D.",
""
]
] |
We consider the interaction of two perfectly conducting plates of arbitrary shape that are inside a non-simply connected cylinder with transverse section of the same shape. We show that the existence of transverse electromagnetic (TEM) modes produces a Casimir force that decays only as $1/a^2$, where $a$ is the distance between plates. The TEM force does not depend on the area of the plates and dominates at large distances over the force produced by the transverse electric (TE) and transverse magnetic (TM) modes, providing in this way a physical realization of the 1+1 dimensional Casimir effect. For the particular case of a coaxial circular cylindrical cavity, we compute the TE, TM and TEM contributions to the force, and find the critical distance for which the TEM modes dominate.
| 6.480449
| 7.594652
| 6.966334
| 6.518548
| 6.737009
| 7.114267
| 6.628634
| 6.884037
| 6.8839
| 8.388409
| 6.499249
| 6.741644
| 6.700385
| 6.603587
| 6.674796
| 6.599397
| 6.522467
| 6.508935
| 6.621438
| 6.943963
| 6.479089
|
2312.07452
|
Carlo Heissenberg
|
Alessandro Georgoudis, Carlo Heissenberg, Rodolfo Russo
|
An eikonal-inspired approach to the gravitational scattering waveform
|
40 pages, v2: presentation improved
| null | null |
QMUL-PH-23-34
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the amplitude-based derivation of gravitational waveform for the
scattering of two scalar black holes at subleading post-Minkowskian (PM) order.
We take an eikonal-inspired approach to the two-massive-particle cut needed in
the KMOC framework, as highlighted in arXiv:2308.02125, and show that its
effect is to implement a simple change of frame. This clarifies one of the
points raised in arXiv:2309.14925 when comparing with the post-Newtonian (PN)
results. We then provide an explicit PM expression for the waveform in the soft
limit, $\omega\to0$, including the first non-universal, $\omega\log\omega$,
contribution. Focusing on this regime, we show that the small-velocity limit of
our result agrees with the soft limit of the PN waveform of arXiv:2309.14925,
provided that the two quantities are written in the same asymptotic frame.
Performing the BMS supertranslation that, as discussed in arXiv:2201.11607, is
responsible for the $\mathcal O(G)$ static contribution to the asymptotic field
employed in the PN literature, we find agreement between the amplitude-based
and the PN soft waveform up to and including $G^3/c^5$ order.
|
[
{
"created": "Tue, 12 Dec 2023 17:25:10 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jan 2024 14:45:42 GMT",
"version": "v2"
}
] |
2024-01-22
|
[
[
"Georgoudis",
"Alessandro",
""
],
[
"Heissenberg",
"Carlo",
""
],
[
"Russo",
"Rodolfo",
""
]
] |
We revisit the amplitude-based derivation of gravitational waveform for the scattering of two scalar black holes at subleading post-Minkowskian (PM) order. We take an eikonal-inspired approach to the two-massive-particle cut needed in the KMOC framework, as highlighted in arXiv:2308.02125, and show that its effect is to implement a simple change of frame. This clarifies one of the points raised in arXiv:2309.14925 when comparing with the post-Newtonian (PN) results. We then provide an explicit PM expression for the waveform in the soft limit, $\omega\to0$, including the first non-universal, $\omega\log\omega$, contribution. Focusing on this regime, we show that the small-velocity limit of our result agrees with the soft limit of the PN waveform of arXiv:2309.14925, provided that the two quantities are written in the same asymptotic frame. Performing the BMS supertranslation that, as discussed in arXiv:2201.11607, is responsible for the $\mathcal O(G)$ static contribution to the asymptotic field employed in the PN literature, we find agreement between the amplitude-based and the PN soft waveform up to and including $G^3/c^5$ order.
| 9.776922
| 8.938736
| 9.627383
| 8.522023
| 8.965122
| 9.53191
| 9.263864
| 8.377338
| 9.433426
| 9.856242
| 8.915011
| 8.943568
| 9.132926
| 8.868648
| 8.8005
| 9.021972
| 8.792593
| 8.740378
| 8.91763
| 9.53004
| 8.988943
|
hep-th/0609079
|
Spyros Avramis
|
Spyros D. Avramis, Konstadinos Sfetsos and Dimitrios Zoakos
|
On the velocity and chemical-potential dependence of the heavy-quark
interaction in N=4 SYM plasmas
|
24 pages, 10 figures; v2: energy regularization discussed in detail,
references added, version to appear in Phys. Rev. D
|
Phys.Rev.D75:025009,2007
|
10.1103/PhysRevD.75.025009
| null |
hep-th
| null |
We consider the interaction of a heavy quark-antiquark pair moving in N=4 SYM
plasma in the presence of non-vanishing chemical potentials. Of particular
importance is the maximal length beyond which the interaction is practically
turned off. We propose a simple phenomenological law that takes into account
the velocity dependence of this screening length beyond the leading order and
in addition its dependence on the R-charge. Our proposal is based on studies
using rotating D3-branes.
|
[
{
"created": "Tue, 12 Sep 2006 14:46:22 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Dec 2006 21:14:17 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Avramis",
"Spyros D.",
""
],
[
"Sfetsos",
"Konstadinos",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] |
We consider the interaction of a heavy quark-antiquark pair moving in N=4 SYM plasma in the presence of non-vanishing chemical potentials. Of particular importance is the maximal length beyond which the interaction is practically turned off. We propose a simple phenomenological law that takes into account the velocity dependence of this screening length beyond the leading order and in addition its dependence on the R-charge. Our proposal is based on studies using rotating D3-branes.
| 13.086783
| 10.805327
| 12.065107
| 10.011959
| 11.18227
| 11.996439
| 11.785142
| 9.509885
| 10.487466
| 12.54168
| 10.719099
| 10.952106
| 12.799677
| 11.42412
| 11.47325
| 11.446122
| 11.174861
| 11.526438
| 11.285479
| 12.75294
| 10.779997
|
1309.2281
|
Jean-Luc Lehners
|
Lorenzo Battarra and Jean-Luc Lehners
|
On the Quantum-To-Classical Transition for Ekpyrotic Perturbations
|
32 pages, 4 figures
|
Phys. Rev. D 89, 063516 (2014)
|
10.1103/PhysRevD.89.063516
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the processes of quantum squeezing and decoherence of density
perturbations produced during a slowly contracting ekpyrotic phase in which
entropic perturbations are converted to curvature perturbations before the
bounce to an expanding phase. During the generation phase, the entropic
fluctuations evolve into a highly squeezed quantum state, analogous to the
evolution of inflationary perturbations. Subsequently, during the conversion
phase, quantum coherence is lost very efficiently due to the interactions of
entropy and adiabatic modes. Moreover, while decoherence occurs, the adiabatic
curvature perturbations inherit their semi-classicality from the entropic
perturbations. Our results confirm that, just as for inflation, an ekpyrotic
phase can generate nearly scale-invariant curvature perturbations which may be
treated as a statistical ensemble of classical density perturbations, in
agreement with observations of the cosmic background radiation.
|
[
{
"created": "Mon, 9 Sep 2013 20:00:00 GMT",
"version": "v1"
}
] |
2014-03-26
|
[
[
"Battarra",
"Lorenzo",
""
],
[
"Lehners",
"Jean-Luc",
""
]
] |
We examine the processes of quantum squeezing and decoherence of density perturbations produced during a slowly contracting ekpyrotic phase in which entropic perturbations are converted to curvature perturbations before the bounce to an expanding phase. During the generation phase, the entropic fluctuations evolve into a highly squeezed quantum state, analogous to the evolution of inflationary perturbations. Subsequently, during the conversion phase, quantum coherence is lost very efficiently due to the interactions of entropy and adiabatic modes. Moreover, while decoherence occurs, the adiabatic curvature perturbations inherit their semi-classicality from the entropic perturbations. Our results confirm that, just as for inflation, an ekpyrotic phase can generate nearly scale-invariant curvature perturbations which may be treated as a statistical ensemble of classical density perturbations, in agreement with observations of the cosmic background radiation.
| 7.683975
| 7.499196
| 7.164948
| 6.685367
| 7.339425
| 7.651908
| 7.533177
| 6.836201
| 7.109688
| 7.297273
| 7.110901
| 7.38151
| 7.569155
| 7.381626
| 7.218414
| 7.129208
| 7.146707
| 7.34542
| 7.26369
| 7.618944
| 6.867982
|
1306.6730
|
Balachandran Sathiapalan
|
B. Sathiapalan
|
Loop Variables and Gauge Invariant Exact Renormalization Group Equations
for Closed String Theory
|
44 pages Latex. Some minor modifications
| null |
10.1142/S0217751X13501169
|
IMSC/2013/05/04
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We formulate the Exact Renormalization Group on the string world sheet for
closed string backgrounds. The same techniques that were used for open strings
is used here. There are some subtleties. One is that holomorphic factorization
of the closed string vertex operators does not hold in the presence of a cutoff
on the Euclidean world sheet. This introduces extra terms in the Lagrangian at
the cutoff scale and they turn out to be crucial for implementing gauge
invariance. This naive generalization from open string to closed strings
requires a {\em massive} graviton and the gauge symmetry is Abelian, just as in
open string theory. Interestingly, it turns out that if one introduces a non
dynamical background metric (as in background field formalism) and combines a
gauge transformation on the field with a transformation on the coordinates and
background metric, the graviton can be massless. Some examples of background
coordinate covariant equations are worked out explicitly. A preliminary
discussion of massive modes, massive gauge transformations and the role of
world sheet regulator terms is given. Some of the gauge transformations can be
given a geometric meaning if space time is assumed to be complex at some level.
|
[
{
"created": "Fri, 28 Jun 2013 06:50:08 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Aug 2013 04:35:15 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Sathiapalan",
"B.",
""
]
] |
We formulate the Exact Renormalization Group on the string world sheet for closed string backgrounds. The same techniques that were used for open strings is used here. There are some subtleties. One is that holomorphic factorization of the closed string vertex operators does not hold in the presence of a cutoff on the Euclidean world sheet. This introduces extra terms in the Lagrangian at the cutoff scale and they turn out to be crucial for implementing gauge invariance. This naive generalization from open string to closed strings requires a {\em massive} graviton and the gauge symmetry is Abelian, just as in open string theory. Interestingly, it turns out that if one introduces a non dynamical background metric (as in background field formalism) and combines a gauge transformation on the field with a transformation on the coordinates and background metric, the graviton can be massless. Some examples of background coordinate covariant equations are worked out explicitly. A preliminary discussion of massive modes, massive gauge transformations and the role of world sheet regulator terms is given. Some of the gauge transformations can be given a geometric meaning if space time is assumed to be complex at some level.
| 13.268151
| 13.804284
| 14.307778
| 12.520306
| 13.338526
| 14.060909
| 13.529613
| 13.904045
| 13.772853
| 15.029537
| 13.077545
| 12.530238
| 12.622609
| 12.411851
| 12.799142
| 13.130585
| 12.658249
| 12.654912
| 12.79531
| 13.261248
| 12.605188
|
hep-th/0605286
|
Daniel Are\'an
|
Daniel Arean
|
Killing spinors of some supergravity solutions
|
M.Sc. Thesis, 72 pages, LaTeX
| null | null | null |
hep-th
| null |
We compute explicitly the Killing spinors of some ten dimensional
supergravity solutions. We begin with a 10d metric of the form
$\RR^{1,3}\times{\cal Y}_6$, where ${\cal Y}_6$ is either the singular conifold
or any of its resolutions. Then, we move on to the Klebanov-Witten and
Klebanov-Tseytlin backgrounds, both constructed over the singular conifold; and
we also study the Klebanov-Strassler solution, built over the deformed
conifold. Finally, we determine the form of the Killing spinors for the
non-commutative deformation of the Maldacena-N\'u\~nez geometry.
|
[
{
"created": "Tue, 30 May 2006 10:32:26 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Arean",
"Daniel",
""
]
] |
We compute explicitly the Killing spinors of some ten dimensional supergravity solutions. We begin with a 10d metric of the form $\RR^{1,3}\times{\cal Y}_6$, where ${\cal Y}_6$ is either the singular conifold or any of its resolutions. Then, we move on to the Klebanov-Witten and Klebanov-Tseytlin backgrounds, both constructed over the singular conifold; and we also study the Klebanov-Strassler solution, built over the deformed conifold. Finally, we determine the form of the Killing spinors for the non-commutative deformation of the Maldacena-N\'u\~nez geometry.
| 5.251246
| 5.352191
| 5.824589
| 5.132091
| 5.205334
| 5.196244
| 5.237424
| 5.163778
| 5.226339
| 6.412531
| 5.23594
| 5.16868
| 5.319646
| 5.193935
| 5.06512
| 5.166829
| 5.235218
| 4.995344
| 5.1537
| 5.311451
| 5.095875
|
hep-th/0403036
|
Jerzy Szwed
|
Jerzy Szwed
|
The "square root" of the Dirac equation and solutions on superspace
|
9 pages
|
Acta Phys.Polon. B37 (2006) 455-462
| null |
CPT-2004/P.008
|
hep-th hep-ph
| null |
The "square root" of the Dirac operator derived on the superspace is used to
construct supersymmetric field equations. In addition to the recently found
solution - a vector supermultiplet I demonstrate how a chiral supermultiplet
follows as the solution. Both vector and chiral supermultiplets are shown to
obey appropriate (massless) equations of motion. This procedure yields thus a
complete set of fields and their equations necessary to construct
renormalizable supersymmetric theories. The problem of masses and interaction
is also discussed.
|
[
{
"created": "Tue, 2 Mar 2004 13:55:48 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2004 14:14:20 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jun 2004 10:50:01 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Szwed",
"Jerzy",
""
]
] |
The "square root" of the Dirac operator derived on the superspace is used to construct supersymmetric field equations. In addition to the recently found solution - a vector supermultiplet I demonstrate how a chiral supermultiplet follows as the solution. Both vector and chiral supermultiplets are shown to obey appropriate (massless) equations of motion. This procedure yields thus a complete set of fields and their equations necessary to construct renormalizable supersymmetric theories. The problem of masses and interaction is also discussed.
| 13.963077
| 12.136601
| 12.946437
| 11.78154
| 13.229911
| 13.124688
| 11.990088
| 11.310974
| 12.221273
| 13.421361
| 11.72847
| 12.662653
| 12.714113
| 11.85773
| 11.968976
| 12.328828
| 12.449808
| 13.314109
| 12.468257
| 13.469802
| 12.808954
|
hep-th/9302076
|
Shahn Majid
|
Shahn Majid
|
Free Braided Differential Calculus, Braided Binomial Theorem and the
Braided Exponential Map
|
19 pages
|
J.Math.Phys. 34 (1993) 4843-4856
|
10.1063/1.530326
|
DAMTP/93-3
|
hep-th math.QA
| null |
Braided differential operators $\del^i$ are obtained by differentiating the
addition law on the braided covector spaces introduced previously (such as the
braided addition law on the quantum plane). These are affiliated to a
Yang-Baxter matrix $R$. The quantum eigenfunctions $\exp_R(\vecx|\vecv)$ of the
$\del^i$ (braided-plane waves) are introduced in the free case where the
position components $x_i$ are totally non-commuting. We prove a braided
$R$-binomial theorem and a braided-Taylors theorem
$\exp_R(\veca|\del)f(\vecx)=f(\veca+\vecx)$. These various results precisely
generalise to a generic $R$-matrix (and hence to $n$-dimensions) the well-known
properties of the usual 1-dimensional $q$-differential and $q$-exponential. As
a related application, we show that the q-Heisenberg algebra $px-qxp=1$ is a
braided semidirect product $\C[x]\cocross \C[p]$ of the braided line acting on
itself (a braided Weyl algebra). Similarly for its generalization to an
arbitrary $R$-matrix.
|
[
{
"created": "Wed, 17 Feb 1993 11:52:34 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Majid",
"Shahn",
""
]
] |
Braided differential operators $\del^i$ are obtained by differentiating the addition law on the braided covector spaces introduced previously (such as the braided addition law on the quantum plane). These are affiliated to a Yang-Baxter matrix $R$. The quantum eigenfunctions $\exp_R(\vecx|\vecv)$ of the $\del^i$ (braided-plane waves) are introduced in the free case where the position components $x_i$ are totally non-commuting. We prove a braided $R$-binomial theorem and a braided-Taylors theorem $\exp_R(\veca|\del)f(\vecx)=f(\veca+\vecx)$. These various results precisely generalise to a generic $R$-matrix (and hence to $n$-dimensions) the well-known properties of the usual 1-dimensional $q$-differential and $q$-exponential. As a related application, we show that the q-Heisenberg algebra $px-qxp=1$ is a braided semidirect product $\C[x]\cocross \C[p]$ of the braided line acting on itself (a braided Weyl algebra). Similarly for its generalization to an arbitrary $R$-matrix.
| 11.684279
| 13.159955
| 14.100106
| 11.951066
| 12.767245
| 13.773845
| 12.719123
| 12.548961
| 11.622846
| 14.506029
| 12.006845
| 11.291956
| 11.080282
| 11.241317
| 11.143094
| 11.389899
| 11.397143
| 11.081515
| 11.378793
| 11.274836
| 10.963515
|
1410.4669
|
Dimitrios Tsimpis
|
Jean-Marc Richard, Robin Terrisse and Dimitrios Tsimpis
|
On the spin-2 Kaluza-Klein spectrum of AdS4 x S2(B4)
|
13 pages, 9 figures
| null |
10.1007/JHEP12(2014)144
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a numerical study of the four-dimensional spin-2 Kaluza-Klein
spectrum of supersymmetric AdS$_4\times S^2(\mathcal{B}_4)$ vacua and show that
they do not exhibit scale separation. Our methods are generally applicable to
similar problems where the compactification geometry is not known analytically,
hence an analytic treatment of the spectrum of Kaluza-Klein masses is not
available.
|
[
{
"created": "Fri, 17 Oct 2014 09:11:21 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Richard",
"Jean-Marc",
""
],
[
"Terrisse",
"Robin",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] |
We perform a numerical study of the four-dimensional spin-2 Kaluza-Klein spectrum of supersymmetric AdS$_4\times S^2(\mathcal{B}_4)$ vacua and show that they do not exhibit scale separation. Our methods are generally applicable to similar problems where the compactification geometry is not known analytically, hence an analytic treatment of the spectrum of Kaluza-Klein masses is not available.
| 10.175761
| 9.529136
| 10.381356
| 9.060402
| 9.346318
| 9.902148
| 9.213862
| 8.765888
| 9.31983
| 11.810639
| 8.738345
| 8.756845
| 10.431407
| 9.017564
| 9.298421
| 9.17271
| 9.273366
| 8.971864
| 9.500326
| 9.922845
| 8.840966
|
1410.3288
|
James Edwards Mr
|
James P. Edwards and Paul Mansfield
|
Delta-function Interactions for the Bosonic and Spinning Strings and the
Generation of Abelian Gauge Theory
|
68 pages, 9 figures Minor corrections to Appendix C
| null |
10.1007/JHEP01(2015)127
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct contact interactions for bosonic and spinning strings. In the
tensionless limit of the spinning string this reproduces the super-Wilson loop
that couples spinor matter to Abelian gauge theory. Adding boundary terms that
quantise the motion of charges results in a string model equivalent to spinor
QED. The strings represent lines of electric flux connected to the charges. The
purely bosonic model is spoilt by divergences that are excluded from the
spinning model by world-sheet supersymmetry, indicating a preference for spinor
matter.
|
[
{
"created": "Mon, 13 Oct 2014 12:55:06 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Oct 2014 15:46:48 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Nov 2014 10:09:26 GMT",
"version": "v3"
}
] |
2015-06-23
|
[
[
"Edwards",
"James P.",
""
],
[
"Mansfield",
"Paul",
""
]
] |
We construct contact interactions for bosonic and spinning strings. In the tensionless limit of the spinning string this reproduces the super-Wilson loop that couples spinor matter to Abelian gauge theory. Adding boundary terms that quantise the motion of charges results in a string model equivalent to spinor QED. The strings represent lines of electric flux connected to the charges. The purely bosonic model is spoilt by divergences that are excluded from the spinning model by world-sheet supersymmetry, indicating a preference for spinor matter.
| 19.146727
| 18.954226
| 20.455893
| 17.821518
| 18.080465
| 18.012314
| 17.942543
| 16.833845
| 18.452133
| 20.192904
| 17.321253
| 18.541798
| 19.180578
| 18.150396
| 18.958466
| 18.06361
| 18.133678
| 18.649199
| 18.295469
| 19.406168
| 17.644796
|
1802.06720
|
Oleg Novikov
|
Alexander A. Andrianov, Chen Lan, Oleg O. Novikov, Yi-Fan Wang
|
Integrable Minisuperspace Models with Liouville Field: Energy Density
Self-Adjointness and Semiclassical Wave Packets
|
Main points emphasized, less important material shortened; 24 pages,
13 figures
|
Eur. Phys. J. C (2018) 78: 786
|
10.1140/epjc/s10052-018-6255-5
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The homogeneous cosmological models with a Liouville scalar field are
investigated in classical and quantum context of Wheeler-DeWitt
geometrodynamics. In the quantum case of quintessence field with potential
unbounded from below and phantom field, the energy density operators are not
essentially self-adjoint and self-adjoint extensions contain ambiguities.
Therefore the same classical actions correspond to a family of distinct quantum
models. For the phantom field the energy spectrum happens to be discrete. The
probability conservation and appropriate classical limit can be achieved with a
certain restriction of the functional class. The appropriately localized wave
packets are studied numerically using the Schrodinger's norm and a conserved
Mostafazadeh's norm introduced from techniques of pseudo-Hermitian quantum
mechanics. These norms give a similar packet evolution that is confronted with
analytical classical solutions.
|
[
{
"created": "Mon, 19 Feb 2018 17:32:28 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Mar 2018 12:45:11 GMT",
"version": "v2"
},
{
"created": "Fri, 25 May 2018 07:36:56 GMT",
"version": "v3"
}
] |
2018-10-16
|
[
[
"Andrianov",
"Alexander A.",
""
],
[
"Lan",
"Chen",
""
],
[
"Novikov",
"Oleg O.",
""
],
[
"Wang",
"Yi-Fan",
""
]
] |
The homogeneous cosmological models with a Liouville scalar field are investigated in classical and quantum context of Wheeler-DeWitt geometrodynamics. In the quantum case of quintessence field with potential unbounded from below and phantom field, the energy density operators are not essentially self-adjoint and self-adjoint extensions contain ambiguities. Therefore the same classical actions correspond to a family of distinct quantum models. For the phantom field the energy spectrum happens to be discrete. The probability conservation and appropriate classical limit can be achieved with a certain restriction of the functional class. The appropriately localized wave packets are studied numerically using the Schrodinger's norm and a conserved Mostafazadeh's norm introduced from techniques of pseudo-Hermitian quantum mechanics. These norms give a similar packet evolution that is confronted with analytical classical solutions.
| 18.592028
| 22.252829
| 17.878069
| 17.316149
| 19.521254
| 17.010952
| 20.32588
| 17.896482
| 18.753229
| 19.837723
| 19.576567
| 18.818235
| 18.026148
| 17.953417
| 17.6798
| 17.62628
| 18.570206
| 17.34844
| 19.219547
| 17.969313
| 18.299482
|
2406.07334
|
Akash Jain
|
Akash Jain
|
Fractonic solids
|
5 pages + bibliography and supplementary material; a supplementary
mathematica notebook is included containing the details of dispersion
relations
| null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Fractons are exotic quasiparticles whose mobility in space is restricted by
symmetries. In potential real-world realisations, fractons are likely lodged to
a physical material rather than absolute space. Motivated by this, we propose
and explore a new symmetry principle that restricts the motion of fractons
relative to a physical solid. Unlike models with restricted mobility in
absolute space, these fractonic solids admit gauge-invariant momentum density,
are compatible with boost symmetry, and can consistently be coupled to gravity.
We also propose a holographic model for fractonic solids.
|
[
{
"created": "Tue, 11 Jun 2024 15:02:51 GMT",
"version": "v1"
}
] |
2024-06-12
|
[
[
"Jain",
"Akash",
""
]
] |
Fractons are exotic quasiparticles whose mobility in space is restricted by symmetries. In potential real-world realisations, fractons are likely lodged to a physical material rather than absolute space. Motivated by this, we propose and explore a new symmetry principle that restricts the motion of fractons relative to a physical solid. Unlike models with restricted mobility in absolute space, these fractonic solids admit gauge-invariant momentum density, are compatible with boost symmetry, and can consistently be coupled to gravity. We also propose a holographic model for fractonic solids.
| 11.917681
| 12.981246
| 13.499193
| 11.68791
| 13.126328
| 12.732318
| 13.318143
| 11.227859
| 11.994778
| 14.0057
| 11.900205
| 11.196381
| 11.185088
| 10.828886
| 11.105719
| 11.483232
| 11.332287
| 11.253424
| 11.285554
| 11.560437
| 11.022644
|
0906.4160
|
Gyula Fodor
|
Gyula Fodor, P\'eter Forg\'acs, Zal\'an Horv\'ath, M\'ark Mezei
|
Oscillons in dilaton-scalar theories
|
extended discussion on stability, to appear in JHEP, 29 pages, 7
figures
|
JHEP 0908:106,2009
|
10.1088/1126-6708/2009/08/106
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown by both analytical methods and numerical simulations that
extremely long living spherically symmetric oscillons appear in virtually any
real scalar field theory coupled to a massless dilaton (DS theories). In fact
such "dilatonic" oscillons are already present in the simplest non-trivial DS
theory -- a free massive scalar field coupled to the dilaton. It is shown that
in analogy to the previously considered cases with a single nonlinear scalar
field, in DS theories there are also time periodic quasibreathers (QB)
associated to small amplitude oscillons. Exploiting the QB picture the
radiation law of the small amplitude dilatonic oscillons is determined
analytically.
|
[
{
"created": "Tue, 23 Jun 2009 12:57:30 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Aug 2009 13:53:56 GMT",
"version": "v2"
}
] |
2009-09-28
|
[
[
"Fodor",
"Gyula",
""
],
[
"Forgács",
"Péter",
""
],
[
"Horváth",
"Zalán",
""
],
[
"Mezei",
"Márk",
""
]
] |
It is shown by both analytical methods and numerical simulations that extremely long living spherically symmetric oscillons appear in virtually any real scalar field theory coupled to a massless dilaton (DS theories). In fact such "dilatonic" oscillons are already present in the simplest non-trivial DS theory -- a free massive scalar field coupled to the dilaton. It is shown that in analogy to the previously considered cases with a single nonlinear scalar field, in DS theories there are also time periodic quasibreathers (QB) associated to small amplitude oscillons. Exploiting the QB picture the radiation law of the small amplitude dilatonic oscillons is determined analytically.
| 12.676276
| 11.698189
| 11.28168
| 10.52091
| 11.206087
| 10.797093
| 11.404837
| 11.254725
| 11.085565
| 13.645288
| 11.260171
| 11.376945
| 11.97208
| 11.609276
| 11.244469
| 11.604813
| 10.938151
| 11.381965
| 11.390624
| 11.842795
| 11.450268
|
hep-th/9703009
|
Jnanadeva Maharana
|
Jnanadeva Maharana
|
S-duality and Compactification of type IIB Superstring Action
|
14 pages, latex, no figures, references added, typos corrected and
two equations added
|
Phys.Lett. B402 (1997) 64-70
|
10.1016/S0370-2693(97)00444-9
|
FERMILAB-PUB-97/046-T
|
hep-th
| null |
The SL(2,R) invaraint ten dimensional type IIB superstring effective action
is compactified on a torus to D spacetime dimensions. The transformation
properties of scalar, vector and tensor fields, appearing after the dimensional
reduction, are obtained in order to maintain the SL(2,R)} invariance of the
reduced effective action. The symmetry of the action enables one to generate
new string vacua from known configurations. As illustrative examples, new black
hole solutions are obtained in five and four dimensions from a given set of
solutions of the equations of motion.
|
[
{
"created": "Fri, 28 Feb 1997 20:09:54 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Mar 1997 17:24:48 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Maharana",
"Jnanadeva",
""
]
] |
The SL(2,R) invaraint ten dimensional type IIB superstring effective action is compactified on a torus to D spacetime dimensions. The transformation properties of scalar, vector and tensor fields, appearing after the dimensional reduction, are obtained in order to maintain the SL(2,R)} invariance of the reduced effective action. The symmetry of the action enables one to generate new string vacua from known configurations. As illustrative examples, new black hole solutions are obtained in five and four dimensions from a given set of solutions of the equations of motion.
| 9.981968
| 7.751431
| 9.93799
| 7.700001
| 8.424604
| 7.846151
| 8.240001
| 8.03479
| 7.875485
| 11.008252
| 8.222307
| 8.648844
| 9.192977
| 8.52407
| 8.647387
| 8.692604
| 8.380884
| 8.818559
| 8.834687
| 9.512278
| 8.826509
|
1012.2883
|
P.A.G. Pisani
|
S.A. Franchino Vi\~nas and P.A.G. Pisani
|
Semi-transparent Boundary Conditions in the Worldline Formalism
|
12 pages
|
J.Phys.A44:295401,2011
|
10.1088/1751-8113/44/29/295401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The interaction of a quantum field with a background containing a Dirac delta
function with support on a surface of codimension 1 represents a particular
kind of matching conditions on that surface for the field. In this article we
show that the worldline formalism can be applied to this model. We obtain the
asymptotic expansion of the heat-kernel corresponding to a scalar field on
$\mathbb{R}^{d+1}$ in the presence of an arbitrary regular potential and
subject to this kind of matching conditions on a flat surface. We also consider
two such surfaces and compute their Casimir attraction due to the vacuum
fluctuations of a massive scalar field weakly coupled to the corresponding
Dirac deltas.
|
[
{
"created": "Mon, 13 Dec 2010 21:20:52 GMT",
"version": "v1"
}
] |
2011-06-21
|
[
[
"Viñas",
"S. A. Franchino",
""
],
[
"Pisani",
"P. A. G.",
""
]
] |
The interaction of a quantum field with a background containing a Dirac delta function with support on a surface of codimension 1 represents a particular kind of matching conditions on that surface for the field. In this article we show that the worldline formalism can be applied to this model. We obtain the asymptotic expansion of the heat-kernel corresponding to a scalar field on $\mathbb{R}^{d+1}$ in the presence of an arbitrary regular potential and subject to this kind of matching conditions on a flat surface. We also consider two such surfaces and compute their Casimir attraction due to the vacuum fluctuations of a massive scalar field weakly coupled to the corresponding Dirac deltas.
| 8.307708
| 8.019056
| 9.522445
| 7.416693
| 7.860433
| 7.670249
| 7.694218
| 7.309806
| 7.696189
| 9.184401
| 7.12534
| 7.375308
| 7.992483
| 7.905214
| 7.86201
| 7.89327
| 7.375138
| 7.741971
| 7.80211
| 8.027161
| 7.732433
|
hep-th/0408005
|
Giovanni Arcioni
|
Giovanni Arcioni
|
On 't Hooft's S-matrix Ansatz for quantum black holes
|
22 Pages. Latex File
|
JHEP0410:032,2004
|
10.1088/1126-6708/2004/10/032
| null |
hep-th
| null |
The S-matrix Ansatz has been proposed by 't Hooft to overcome difficulties
and apparent contradictions of standard quantum field theory close to the black
hole horizon. In this paper we revisit and explore some of its aspects. We
start by computing gravitational backreaction effects on the properties of the
Hawking radiation and explain why a more powerful formalism is needed to encode
them. We then use the map bulk-boundary fields to investigate the nature of
exchange algebras satisfied by operators associated with ingoing and outgoing
matter. We propose and comment on some analogies between the non covariant form
of the S-matrix amplitude and liquid droplet physics to end up with
similarities with string theory amplitudes via an electrostatic analogy. We
finally recall the difficulties that one encounters when trying to incorporate
non linear gravity effects in 't Hooft's S-matrix and observe how the inclusion
of higher order derivatives might help in the black hole microstate counting.
|
[
{
"created": "Sun, 1 Aug 2004 08:08:28 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Arcioni",
"Giovanni",
""
]
] |
The S-matrix Ansatz has been proposed by 't Hooft to overcome difficulties and apparent contradictions of standard quantum field theory close to the black hole horizon. In this paper we revisit and explore some of its aspects. We start by computing gravitational backreaction effects on the properties of the Hawking radiation and explain why a more powerful formalism is needed to encode them. We then use the map bulk-boundary fields to investigate the nature of exchange algebras satisfied by operators associated with ingoing and outgoing matter. We propose and comment on some analogies between the non covariant form of the S-matrix amplitude and liquid droplet physics to end up with similarities with string theory amplitudes via an electrostatic analogy. We finally recall the difficulties that one encounters when trying to incorporate non linear gravity effects in 't Hooft's S-matrix and observe how the inclusion of higher order derivatives might help in the black hole microstate counting.
| 15.100677
| 15.348447
| 16.059881
| 14.777486
| 16.028067
| 15.751867
| 15.250059
| 15.748418
| 13.954623
| 15.821679
| 15.007495
| 14.640601
| 15.022945
| 14.604852
| 15.06553
| 14.654559
| 14.722278
| 14.622329
| 14.415497
| 14.482471
| 14.651458
|
1403.7185
|
Martin Wolf
|
Branislav Jurco, Christian Saemann and Martin Wolf
|
Semistrict Higher Gauge Theory
|
v4: 76 pages, minor errors fixed, published version
|
JHEP 04 (2015) 087
|
10.1007/JHEP04(2015)087
|
EMPG-14-06, DMUS-MP-14/02
|
hep-th math-ph math.CT math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop semistrict higher gauge theory from first principles. In
particular, we describe the differential Deligne cohomology underlying
semistrict principal 2-bundles with connective structures. Principal 2-bundles
are obtained in terms of weak 2-functors from the Cech groupoid to weak Lie
2-groups. As is demonstrated, some of these Lie 2-groups can be differentiated
to semistrict Lie 2-algebras by a method due to Severa. We further derive the
full description of connective structures on semistrict principal 2-bundles
including the non-linear gauge transformations. As an application, we use a
twistor construction to derive superconformal constraint equations in six
dimensions for a non-Abelian N=(2,0) tensor multiplet taking values in a
semistrict Lie 2-algebra.
|
[
{
"created": "Thu, 27 Mar 2014 19:40:05 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2014 08:20:24 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Jan 2015 13:00:09 GMT",
"version": "v3"
},
{
"created": "Wed, 29 Apr 2015 14:04:13 GMT",
"version": "v4"
}
] |
2015-04-30
|
[
[
"Jurco",
"Branislav",
""
],
[
"Saemann",
"Christian",
""
],
[
"Wolf",
"Martin",
""
]
] |
We develop semistrict higher gauge theory from first principles. In particular, we describe the differential Deligne cohomology underlying semistrict principal 2-bundles with connective structures. Principal 2-bundles are obtained in terms of weak 2-functors from the Cech groupoid to weak Lie 2-groups. As is demonstrated, some of these Lie 2-groups can be differentiated to semistrict Lie 2-algebras by a method due to Severa. We further derive the full description of connective structures on semistrict principal 2-bundles including the non-linear gauge transformations. As an application, we use a twistor construction to derive superconformal constraint equations in six dimensions for a non-Abelian N=(2,0) tensor multiplet taking values in a semistrict Lie 2-algebra.
| 7.115135
| 8.364424
| 8.943178
| 6.912644
| 8.162428
| 8.056684
| 7.778143
| 7.460532
| 7.719429
| 8.975138
| 7.453946
| 7.388659
| 7.243207
| 6.844737
| 7.163913
| 6.987953
| 7.124689
| 6.903973
| 6.998137
| 7.643448
| 6.940315
|
2012.15521
|
Arsenii Pikalov
|
A. Pikalov
|
Holographic model of exciton condensation in double monolayer Dirac
semimetal
|
1 figure
| null |
10.1134/S0021364021040020
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we consider holographic model of exciton condensation in double
monolayer Dirac semimetal. Excitons is a bound states of an electron and a
hole. Being Bose particles, excitons can form a Bose-Einstein condensate. We
study formation of two types of condensates. In first case both the electron
and the hole forming the exciton are in the same layer (intralayer condensate),
in the second case the electron and the hole are in different layers
(interlayer condensate). We study how the condensates depend on the distance
between layers and the mass of the quasiparticles in presence of a strong
magnetic field. In order to take into account possible strong Coulomb
interaction between electrons we use holographic appoach. The holographic model
consists of two $D5$ branes embedded into anti de Sitter space. The condensates
are described by geometric configuration of the branes. We show that the
distance between layers at which interlayer condensate disappears decreases
with quasiparticle mass.
|
[
{
"created": "Thu, 31 Dec 2020 09:50:02 GMT",
"version": "v1"
}
] |
2021-03-17
|
[
[
"Pikalov",
"A.",
""
]
] |
In this paper we consider holographic model of exciton condensation in double monolayer Dirac semimetal. Excitons is a bound states of an electron and a hole. Being Bose particles, excitons can form a Bose-Einstein condensate. We study formation of two types of condensates. In first case both the electron and the hole forming the exciton are in the same layer (intralayer condensate), in the second case the electron and the hole are in different layers (interlayer condensate). We study how the condensates depend on the distance between layers and the mass of the quasiparticles in presence of a strong magnetic field. In order to take into account possible strong Coulomb interaction between electrons we use holographic appoach. The holographic model consists of two $D5$ branes embedded into anti de Sitter space. The condensates are described by geometric configuration of the branes. We show that the distance between layers at which interlayer condensate disappears decreases with quasiparticle mass.
| 4.875558
| 4.687789
| 5.100819
| 4.598556
| 4.941178
| 4.820607
| 4.889534
| 4.366388
| 4.511823
| 5.190413
| 4.583892
| 4.518335
| 4.66381
| 4.615635
| 4.660624
| 4.728882
| 4.684775
| 4.601823
| 4.555631
| 4.641055
| 4.480818
|
0910.2560
|
Miloslav Znojil
|
Miloslav Znojil
|
Fundamental length in quantum theories with PT-symmetric Hamiltonians
II: The case of quantum graphs
|
33 pp., 6 figures
|
Phys.Rev.D80:105004,2009
|
10.1103/PhysRevD.80.105004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Manifestly non-Hermitian quantum graphs with real spectra are introduced and
shown tractable as a new class of phenomenological models with several
appealing descriptive properties. For illustrative purposes, just equilateral
star-graphs are considered here in detail, with non-Hermiticities introduced by
interactions attached to the vertices. The facilitated feasibility of the
analysis of their spectra is achieved via their systematic approximative
Runge-Kutta-inspired reduction to star-shaped discrete lattices. The resulting
bound-state spectra are found real in a discretization-independent interval of
couplings. This conclusion is reinterpreted as the existence of a hidden
Hermiticity of our models, i.e., as the standard and manifest Hermiticity of
the underlying Hamiltonian in one of less usual, {\em ad hoc} representations
${\cal H}_j$ of the Hilbert space of states in which the inner product is local
(at $j=0$) or increasingly nonlocal (at $j=1,2, ...$). Explicit examples of
these (of course, Hamiltonian-dependent) hermitizing inner products are offered
in closed form. In this way each initial quantum graph is assigned a menu of
optional, non-equivalent standard probabilistic interpretations exhibiting a
controlled, tunable nonlocality.
|
[
{
"created": "Wed, 14 Oct 2009 09:08:50 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Znojil",
"Miloslav",
""
]
] |
Manifestly non-Hermitian quantum graphs with real spectra are introduced and shown tractable as a new class of phenomenological models with several appealing descriptive properties. For illustrative purposes, just equilateral star-graphs are considered here in detail, with non-Hermiticities introduced by interactions attached to the vertices. The facilitated feasibility of the analysis of their spectra is achieved via their systematic approximative Runge-Kutta-inspired reduction to star-shaped discrete lattices. The resulting bound-state spectra are found real in a discretization-independent interval of couplings. This conclusion is reinterpreted as the existence of a hidden Hermiticity of our models, i.e., as the standard and manifest Hermiticity of the underlying Hamiltonian in one of less usual, {\em ad hoc} representations ${\cal H}_j$ of the Hilbert space of states in which the inner product is local (at $j=0$) or increasingly nonlocal (at $j=1,2, ...$). Explicit examples of these (of course, Hamiltonian-dependent) hermitizing inner products are offered in closed form. In this way each initial quantum graph is assigned a menu of optional, non-equivalent standard probabilistic interpretations exhibiting a controlled, tunable nonlocality.
| 17.676731
| 20.4007
| 20.418039
| 18.722921
| 23.927708
| 20.768635
| 22.090199
| 19.297808
| 18.708923
| 20.400711
| 18.015585
| 18.23056
| 18.722248
| 18.3909
| 18.333736
| 18.324902
| 18.345854
| 18.423748
| 18.826176
| 18.643877
| 17.947317
|
0806.4900
|
James Bedford
|
James Bedford and David Berman
|
A note on Quantum Aspects of Multiple Membranes
|
12 pages, 2 figures. Uses axodraw. v3: Reference corrected, footnotes
modified
|
Phys.Lett.B668:67-71,2008
|
10.1016/j.physletb.2008.08.021
|
Imperial-TP-08-JB-01; QMUL-PH-08-14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we investigate quantum aspects of the newly proposed theory of
multiple membranes put forward by Bagger and Lambert. In particular we analyse
the possibility of a finite renormalisation of the coupling at one loop.
|
[
{
"created": "Mon, 30 Jun 2008 18:58:34 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jul 2008 09:48:27 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Aug 2008 10:17:31 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Bedford",
"James",
""
],
[
"Berman",
"David",
""
]
] |
In this note we investigate quantum aspects of the newly proposed theory of multiple membranes put forward by Bagger and Lambert. In particular we analyse the possibility of a finite renormalisation of the coupling at one loop.
| 14.980855
| 8.240608
| 13.114682
| 9.11149
| 8.417749
| 9.201556
| 8.561894
| 8.365003
| 9.638662
| 12.391
| 9.57595
| 9.178848
| 11.823323
| 10.192955
| 9.682703
| 9.68895
| 9.949424
| 9.665056
| 9.769492
| 11.842124
| 9.190623
|
1801.09337
|
Peter Lowdon
|
Peter Lowdon
|
Dyson-Schwinger equation constraints on the gluon propagator in BRST
quantised QCD
|
8 pages; v2: matches published version
|
Phys. Lett. B 786, 399 (2018)
|
10.1016/j.physletb.2018.10.023
|
SLAC-PUB-17219
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The gluon propagator plays a central role in determining the dynamics of QCD.
In this work we demonstrate for BRST quantised QCD that the Dyson-Schwinger
equation imposes significant analytic constraints on the structure of this
propagator. In particular, we find that these constraints control the
appearance of massless components in the gluon spectral density.
|
[
{
"created": "Mon, 29 Jan 2018 01:30:28 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2018 15:57:49 GMT",
"version": "v2"
}
] |
2018-10-31
|
[
[
"Lowdon",
"Peter",
""
]
] |
The gluon propagator plays a central role in determining the dynamics of QCD. In this work we demonstrate for BRST quantised QCD that the Dyson-Schwinger equation imposes significant analytic constraints on the structure of this propagator. In particular, we find that these constraints control the appearance of massless components in the gluon spectral density.
| 10.304866
| 9.84965
| 8.845588
| 8.851575
| 9.026417
| 8.510881
| 8.750641
| 8.384206
| 8.082273
| 9.051011
| 8.862131
| 9.297162
| 9.081611
| 8.852995
| 9.181688
| 9.37722
| 8.930552
| 8.755969
| 8.818332
| 9.350466
| 8.675144
|
hep-th/9310164
|
Dr John W. Barrett
|
John W. Barrett and Bruce W. Westbury
|
Spherical Categories
|
16 pages. Minor corrections
|
Adv.Math.143:357-375,1999
|
10.1006/aima.1998.1800
| null |
hep-th math.QA
| null |
This paper is a study of monoidal categories with duals where the tensor
product need not be commutative. The motivating examples are categories of
representations of Hopf algebras and the motivating application is the
definition of 6j-symbols as used in topological field theories.
We introduce the new notion of a spherical category. In the first section we
prove a coherence theorem for a monoidal category with duals following MacLane
(1963). In the second section we give the definition of a spherical category,
and construct a natural quotient which is also spherical.
In the third section we define spherical Hopf algebras so that the category
of representations is spherical. Examples of spherical Hopf algebras are
involutory Hopf algebras and ribbon Hopf algebras. Finally we study the natural
quotient in these cases and show it is semisimple.
|
[
{
"created": "Mon, 25 Oct 1993 15:45:14 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 1998 00:24:24 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Barrett",
"John W.",
""
],
[
"Westbury",
"Bruce W.",
""
]
] |
This paper is a study of monoidal categories with duals where the tensor product need not be commutative. The motivating examples are categories of representations of Hopf algebras and the motivating application is the definition of 6j-symbols as used in topological field theories. We introduce the new notion of a spherical category. In the first section we prove a coherence theorem for a monoidal category with duals following MacLane (1963). In the second section we give the definition of a spherical category, and construct a natural quotient which is also spherical. In the third section we define spherical Hopf algebras so that the category of representations is spherical. Examples of spherical Hopf algebras are involutory Hopf algebras and ribbon Hopf algebras. Finally we study the natural quotient in these cases and show it is semisimple.
| 5.461334
| 6.188329
| 6.230689
| 5.623902
| 6.209777
| 6.659171
| 6.362764
| 5.652082
| 5.877104
| 6.147739
| 5.701531
| 5.600991
| 5.725172
| 5.559507
| 5.617645
| 5.531845
| 5.633927
| 5.518966
| 5.379493
| 5.494851
| 5.519853
|
hep-th/0507046
|
Pavel Yu. Moshin
|
D.M. Gitman, P.Yu.Moshin, A.A. Reshetnyak
|
An Embedding of the BV Quantization into an N=1 Local Superfield
Formalism
|
12 pages, LaTex, corrected typos, extended Introduction
|
Phys.Lett. B621 (2005) 295-308
|
10.1016/j.physletb.2005.06.071
| null |
hep-th
| null |
We propose an N=1 superfield formulation of Lagrangian quantization in
general hypergauges by extending a reducible gauge theory to a superfield model
with a local dependence on a Grassmann parameter $\theta$. By means of
$\theta$-local functions of the quantum and gauge-fixing actions in terms of
Darboux coordinates on the antisymplectic manifold, we construct superfield
generating functionals of Green's functions, including the effective action. We
prove the gauge-independence of the S-matrix, obtain the Ward identities and
establish a relation of the proposed local quantization with the BV method and
the multilevel Batalin-Tyutin formalism.
|
[
{
"created": "Wed, 6 Jul 2005 01:48:53 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Aug 2005 18:12:39 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Gitman",
"D. M.",
""
],
[
"Moshin",
"P. Yu.",
""
],
[
"Reshetnyak",
"A. A.",
""
]
] |
We propose an N=1 superfield formulation of Lagrangian quantization in general hypergauges by extending a reducible gauge theory to a superfield model with a local dependence on a Grassmann parameter $\theta$. By means of $\theta$-local functions of the quantum and gauge-fixing actions in terms of Darboux coordinates on the antisymplectic manifold, we construct superfield generating functionals of Green's functions, including the effective action. We prove the gauge-independence of the S-matrix, obtain the Ward identities and establish a relation of the proposed local quantization with the BV method and the multilevel Batalin-Tyutin formalism.
| 11.577081
| 8.490774
| 13.696072
| 9.55582
| 10.930529
| 8.533783
| 8.853888
| 8.565331
| 9.328824
| 13.985473
| 9.443765
| 10.753667
| 11.744053
| 11.020897
| 11.354811
| 11.16116
| 10.64049
| 10.700138
| 10.874178
| 11.810916
| 10.51457
|
1804.03279
|
Kei-Ichi Kondo
|
Kei-Ichi Kondo
|
Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory
with a gauge-invariant gluon mass term
|
21 pages, no figures; version published
|
Eur. Phys. J. C 78 (2018) 577
|
10.1140/epjc/s10052-018-6051-2
|
CHIBA-EP-230
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the Yang-Mills theory coupled to a single scalar field in the fundamental
representation of the gauge group, we present a gauge-independent description
of the Brout-Englert-Higgs mechanism by which massless gauge bosons acquire
their mass. The new description should be compared with the conventional
gauge-dependent description relying on the spontaneous gauge symmetry breaking
due to a choice of the non-vanishing vacuum expectation value of the scalar
field. In this paper we focus our consideration on the fundamental scalar field
which extends the previous work done for the Yang-Mills theory with an adjoint
scalar field. Moreover, we show that the Yang-Mills theory with a
gauge-invariant mass term is obtained from the corresponding gauge-scalar model
when the radial degree of freedom (length) of the scalar field is fixed. The
result obtained in this paper is regarded as a continuum realization of the
Fradkin-Shenker continuity and Osterwalder-Seiler theorem for the
complementarity between Higgs regime and Confinement regime which was given in
the gauge-invariant framework of the lattice gauge theory. Moreover, we discuss
how confinement is investigated through the gauge-independent
Brout-Englert-Higgs mechanism by starting with the complementary gauge-scalar
model.
|
[
{
"created": "Tue, 10 Apr 2018 00:03:33 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Apr 2018 16:55:41 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Jul 2018 15:50:58 GMT",
"version": "v3"
},
{
"created": "Wed, 18 Jul 2018 15:08:56 GMT",
"version": "v4"
}
] |
2018-08-15
|
[
[
"Kondo",
"Kei-Ichi",
""
]
] |
For the Yang-Mills theory coupled to a single scalar field in the fundamental representation of the gauge group, we present a gauge-independent description of the Brout-Englert-Higgs mechanism by which massless gauge bosons acquire their mass. The new description should be compared with the conventional gauge-dependent description relying on the spontaneous gauge symmetry breaking due to a choice of the non-vanishing vacuum expectation value of the scalar field. In this paper we focus our consideration on the fundamental scalar field which extends the previous work done for the Yang-Mills theory with an adjoint scalar field. Moreover, we show that the Yang-Mills theory with a gauge-invariant mass term is obtained from the corresponding gauge-scalar model when the radial degree of freedom (length) of the scalar field is fixed. The result obtained in this paper is regarded as a continuum realization of the Fradkin-Shenker continuity and Osterwalder-Seiler theorem for the complementarity between Higgs regime and Confinement regime which was given in the gauge-invariant framework of the lattice gauge theory. Moreover, we discuss how confinement is investigated through the gauge-independent Brout-Englert-Higgs mechanism by starting with the complementary gauge-scalar model.
| 7.446219
| 7.485816
| 8.502049
| 7.5076
| 7.641837
| 7.340502
| 7.781462
| 7.08698
| 7.125948
| 8.682196
| 7.187173
| 6.999133
| 7.353054
| 7.030814
| 6.994273
| 7.334355
| 7.122853
| 7.205553
| 7.228761
| 7.480409
| 7.023558
|
hep-th/0307084
|
Senarath P. de Alwis
|
S.P. de Alwis
|
On Potentials from Fluxes
|
24 pages, changes in concluding section, added references
|
Phys.Rev. D68 (2003) 126001
|
10.1103/PhysRevD.68.126001
|
COLO-HEP 490
|
hep-th
| null |
We discuss the compactification of type IIB supergravity with fluxes to
generate a potential for the moduli. In particular we resolve an apparent
conflict with the no-go theorem for de Sitter space. It is shown that a
positive potential for certain moduli is possible in situations where the
volume modulus has no critical point. We also point out that the derivation of
the potential is strictly valid only for a trivial warp factor. To go beyond
that seems to require the inclusion of all the Kaluza-Klein excitations. We end
with a discussion of the stabilization of the volume modulus.
|
[
{
"created": "Tue, 8 Jul 2003 19:00:07 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jul 2003 22:48:32 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"de Alwis",
"S. P.",
""
]
] |
We discuss the compactification of type IIB supergravity with fluxes to generate a potential for the moduli. In particular we resolve an apparent conflict with the no-go theorem for de Sitter space. It is shown that a positive potential for certain moduli is possible in situations where the volume modulus has no critical point. We also point out that the derivation of the potential is strictly valid only for a trivial warp factor. To go beyond that seems to require the inclusion of all the Kaluza-Klein excitations. We end with a discussion of the stabilization of the volume modulus.
| 8.475847
| 7.307631
| 8.323199
| 7.461705
| 8.002728
| 7.685178
| 7.529789
| 8.083568
| 7.688458
| 8.770791
| 7.066813
| 7.452622
| 7.901762
| 7.617363
| 7.453358
| 7.527343
| 7.644995
| 7.589021
| 7.743814
| 7.75144
| 7.519362
|
hep-th/9905015
|
Timothy J. Hollowood
|
N. Michael Davies, Timothy J. Hollowood, Valentin V. Khoze and Michael
P. Mattis
|
Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
|
23 pages, amstex, minor corrections
|
Nucl.Phys.B559:123-142,1999
|
10.1016/S0550-3213(99)00434-4
| null |
hep-th hep-ph
| null |
We examine supersymmetric SU(N) gauge theories on R^3*S^1 with a circle of
circumference beta. These theories interpolate between four-dimensional N=1
pure gauge theory for beta=infinity and three-dimensional N=2 gauge theory for
beta=0. The dominant field configurations of the R^3*S^1 SU(N) theories in the
semi-classical regime arise from N varieties of monopole. Periodic instanton
configurations correspond to mixed configurations of N single monopoles of the
N different types. We semi-classically evaluate the non-perturbatively
generated superpotential of the R^3*S^1 theory and hence determine its vacuum
structure. We then calculate monopole contributions to the gluino condensate in
these theories and take the decompactification limit beta=infinity. In this way
we obtain a value for the gluino condensate in the four-dimensional N=1
supersymmetric SU(N) Yang-Mills theory, which agrees with the previously known
`weak coupling' expression but not with the `strong coupling' expression
derived in the early literature solely from instanton considerations. Moreover,
we discover that the superpotential gives a mass to the dual (magnetic) photon,
which implies confinement of the original electric photon and disappearance of
all the massless modes.
|
[
{
"created": "Mon, 3 May 1999 18:56:23 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 1999 14:01:29 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Nov 1999 19:18:38 GMT",
"version": "v3"
}
] |
2009-07-09
|
[
[
"Davies",
"N. Michael",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Khoze",
"Valentin V.",
""
],
[
"Mattis",
"Michael P.",
""
]
] |
We examine supersymmetric SU(N) gauge theories on R^3*S^1 with a circle of circumference beta. These theories interpolate between four-dimensional N=1 pure gauge theory for beta=infinity and three-dimensional N=2 gauge theory for beta=0. The dominant field configurations of the R^3*S^1 SU(N) theories in the semi-classical regime arise from N varieties of monopole. Periodic instanton configurations correspond to mixed configurations of N single monopoles of the N different types. We semi-classically evaluate the non-perturbatively generated superpotential of the R^3*S^1 theory and hence determine its vacuum structure. We then calculate monopole contributions to the gluino condensate in these theories and take the decompactification limit beta=infinity. In this way we obtain a value for the gluino condensate in the four-dimensional N=1 supersymmetric SU(N) Yang-Mills theory, which agrees with the previously known `weak coupling' expression but not with the `strong coupling' expression derived in the early literature solely from instanton considerations. Moreover, we discover that the superpotential gives a mass to the dual (magnetic) photon, which implies confinement of the original electric photon and disappearance of all the massless modes.
| 7.719134
| 7.776084
| 7.997717
| 7.303564
| 7.445825
| 7.533738
| 7.616317
| 7.611233
| 7.425036
| 8.576155
| 7.143731
| 7.525073
| 7.71269
| 7.310397
| 7.418362
| 7.440072
| 7.58504
| 7.478252
| 7.408286
| 7.802319
| 7.278883
|
1805.01919
|
Skenderis Kostas
|
Michela Petrini, Henning Samtleben, Stanislav Schmidt and Kostas
Skenderis
|
The 10d Uplift of the GPPZ Solution
|
45 pages, v3: JHEP version, Mathematica file with the IIB solution
and the verification of Einstein equations attached, corrected some typos,
v4: Note Added, typos corrected
|
J. High Energ. Phys. (2018) 2018: 26
|
10.1007/JHEP07(2018)026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the uplift of the GPPZ solution of the five-dimensional maximal
supergravity to ten dimensions. The five dimensional solution involves two real
scalar fields, with one of them encoding holographically the (norm of the
complex) supersymmetric ${\mathcal N}=1$ mass deformation and the other the
real part of the gaugino condensate. We embed this solution in a consistent
truncation of $D=5$ maximal supergravity which involves two complex scalars
dual to the complex mass deformations and the complex gaugino condensate, and a
$U(1)$ gauge field dual to the $U(1)_R$ current, and uplift it to ten
dimensions. The ten dimensional solution is completely explicit, with all
fields given in terms of elementary functions. The metric and the axion-dilaton
agree with those of a partial uplift of the GPPZ flow by Pilch and Warner. We
analyze the asymptotics and the singularity structure of the ten dimensional
solution. The uplifted solution is singular, but the singularity is milder than
that of the five dimensional solution, and there is conformal frame in which
the metric is only singular at one point of $S^5$. We compare the asymptotics
of the $10d$ solution with that of the Polchinski-Strassler and
Freedman-Minahan solutions, and find agreement with Freedman-Minahan and
disagreement with Polchinski-Strassler. In particular, we infer that while the
Polchinski-Strassler $10d$ fields satisfy the correct boundary conditions, they
do not solve the field equations near the boundary.
|
[
{
"created": "Fri, 4 May 2018 19:33:48 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jun 2018 10:41:58 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Jul 2018 11:46:47 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Feb 2019 13:44:18 GMT",
"version": "v4"
}
] |
2019-02-08
|
[
[
"Petrini",
"Michela",
""
],
[
"Samtleben",
"Henning",
""
],
[
"Schmidt",
"Stanislav",
""
],
[
"Skenderis",
"Kostas",
""
]
] |
We present the uplift of the GPPZ solution of the five-dimensional maximal supergravity to ten dimensions. The five dimensional solution involves two real scalar fields, with one of them encoding holographically the (norm of the complex) supersymmetric ${\mathcal N}=1$ mass deformation and the other the real part of the gaugino condensate. We embed this solution in a consistent truncation of $D=5$ maximal supergravity which involves two complex scalars dual to the complex mass deformations and the complex gaugino condensate, and a $U(1)$ gauge field dual to the $U(1)_R$ current, and uplift it to ten dimensions. The ten dimensional solution is completely explicit, with all fields given in terms of elementary functions. The metric and the axion-dilaton agree with those of a partial uplift of the GPPZ flow by Pilch and Warner. We analyze the asymptotics and the singularity structure of the ten dimensional solution. The uplifted solution is singular, but the singularity is milder than that of the five dimensional solution, and there is conformal frame in which the metric is only singular at one point of $S^5$. We compare the asymptotics of the $10d$ solution with that of the Polchinski-Strassler and Freedman-Minahan solutions, and find agreement with Freedman-Minahan and disagreement with Polchinski-Strassler. In particular, we infer that while the Polchinski-Strassler $10d$ fields satisfy the correct boundary conditions, they do not solve the field equations near the boundary.
| 6.079596
| 6.016973
| 6.287958
| 5.647926
| 5.930421
| 6.155458
| 5.960908
| 5.778075
| 5.900729
| 6.83221
| 5.667592
| 5.592
| 5.983286
| 5.596614
| 5.674074
| 5.797657
| 5.684356
| 5.710965
| 5.739088
| 5.86469
| 5.652238
|
1107.2357
|
Cesar Fosco
|
C. Ccapa Ttira, C. D. Fosco, F. D. Mazzitelli
|
Lifshitz formula for the Casimir force and the Gelfand-Yaglom theorem
|
13 pages, 1 figure
| null |
10.1088/1751-8113/44/46/465403
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a Quantum Field Theory derivation of Lifshitz formula for the
Casimir force due to a fluctuating real scalar field in $d+1$ dimensions. The
field is coupled to two imperfect, thick, plane mirrors, which are modeled by
background potentials localized on their positions. The derivation proceeds
from the calculation of the vacuum energy in the Euclidean version of the
system, reducing the problem to the evaluation of a functional determinant. The
latter is written, via Gelfand-Yaglom's formula, in terms of functions
depending on the structure of the potential describing each mirror; those
functions encode the properties which are relevant to the Casimir force and are
the reflection coefficients evaluated at imaginary frequencies.
|
[
{
"created": "Tue, 12 Jul 2011 17:43:39 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Ttira",
"C. Ccapa",
""
],
[
"Fosco",
"C. D.",
""
],
[
"Mazzitelli",
"F. D.",
""
]
] |
We provide a Quantum Field Theory derivation of Lifshitz formula for the Casimir force due to a fluctuating real scalar field in $d+1$ dimensions. The field is coupled to two imperfect, thick, plane mirrors, which are modeled by background potentials localized on their positions. The derivation proceeds from the calculation of the vacuum energy in the Euclidean version of the system, reducing the problem to the evaluation of a functional determinant. The latter is written, via Gelfand-Yaglom's formula, in terms of functions depending on the structure of the potential describing each mirror; those functions encode the properties which are relevant to the Casimir force and are the reflection coefficients evaluated at imaginary frequencies.
| 11.160577
| 9.902076
| 11.09046
| 9.606582
| 9.570629
| 8.912534
| 10.249617
| 9.575819
| 9.819759
| 12.836086
| 9.732585
| 10.638211
| 10.486501
| 10.157727
| 10.382357
| 10.557679
| 10.871466
| 10.805593
| 10.227683
| 10.908846
| 10.198996
|
hep-th/9409019
| null |
John Hiller, Steve Pinsky, and Brett van de Sande
|
Spontaneous symmetry breaking of (1+1)-dimensional $\bf \phi^4$ theory
in light-front field theory (III)
|
21 pages; OHSTPY-HEP-TH-94-014 and DOE/ER/01545-63
|
Phys.Rev. D51 (1995) 726-733
|
10.1103/PhysRevD.51.726
| null |
hep-th
| null |
We investigate (1+1)-dimensional $\phi^4$ field theory in the symmetric and
broken phases using discrete light-front quantization. We calculate the
perturbative solution of the zero-mode constraint equation for both the
symmetric and broken phases and show that standard renormalization of the
theory yields finite results. We study the perturbative zero-mode contribution
to two diagrams and show that the light-front formulation gives the same result
as the equal-time formulation. In the broken phase of the theory, we obtain the
nonperturbative solutions of the constraint equation and confirm our previous
speculation that the critical coupling is logarithmically divergent. We discuss
the renormalization of this divergence but are not able to find a satisfactory
nonperturbative technique. Finally we investigate properties that are
insensitive to this divergence, calculate the critical exponent of the theory,
and find agreement with mean field theory as expected.
|
[
{
"created": "Sat, 3 Sep 1994 16:38:55 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hiller",
"John",
""
],
[
"Pinsky",
"Steve",
""
],
[
"van de Sande",
"Brett",
""
]
] |
We investigate (1+1)-dimensional $\phi^4$ field theory in the symmetric and broken phases using discrete light-front quantization. We calculate the perturbative solution of the zero-mode constraint equation for both the symmetric and broken phases and show that standard renormalization of the theory yields finite results. We study the perturbative zero-mode contribution to two diagrams and show that the light-front formulation gives the same result as the equal-time formulation. In the broken phase of the theory, we obtain the nonperturbative solutions of the constraint equation and confirm our previous speculation that the critical coupling is logarithmically divergent. We discuss the renormalization of this divergence but are not able to find a satisfactory nonperturbative technique. Finally we investigate properties that are insensitive to this divergence, calculate the critical exponent of the theory, and find agreement with mean field theory as expected.
| 8.146073
| 7.272797
| 7.812443
| 7.527704
| 7.829027
| 7.795225
| 7.77185
| 7.390317
| 7.395528
| 8.049107
| 7.48082
| 7.46547
| 7.996696
| 7.556263
| 7.6121
| 7.843652
| 7.589072
| 7.528563
| 7.607674
| 8.019131
| 7.544361
|
hep-th/0212149
|
Andre van Tonder
|
Andre van Tonder (Brown University)
|
Cohomology and Decomposition of Tensor Product Representations of
SL(2,R)
|
22 pages, no figures, Latex2e Added section on product of finite and
continuous series
|
Nucl.Phys. B677 (2004) 614-632
|
10.1016/j.nuclphysb.2003.10.029
|
BROWN-HET-1338
|
hep-th math.RT
| null |
We analyze the decomposition of tensor products between infinite dimensional
(unitary) and finite-dimensional (non-unitary) representations of SL(2,R).
Using classical results on indefinite inner product spaces, we derive explicit
decomposition formulae, true modulo a natural cohomological reduction, for the
tensor products.
|
[
{
"created": "Thu, 12 Dec 2002 22:08:58 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Nov 2003 21:10:29 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"van Tonder",
"Andre",
"",
"Brown University"
]
] |
We analyze the decomposition of tensor products between infinite dimensional (unitary) and finite-dimensional (non-unitary) representations of SL(2,R). Using classical results on indefinite inner product spaces, we derive explicit decomposition formulae, true modulo a natural cohomological reduction, for the tensor products.
| 17.44459
| 18.819653
| 15.110776
| 13.670003
| 15.742449
| 15.951027
| 14.931561
| 17.592554
| 14.77231
| 16.236021
| 14.216401
| 14.573788
| 16.363535
| 15.991446
| 15.412277
| 15.148998
| 15.172355
| 15.431725
| 14.943819
| 15.877596
| 14.956105
|
2204.07590
|
Suzanne Bintanja
|
Luis Apolo, Alexandre Belin, Suzanne Bintanja, Alejandra Castro,
Christoph A. Keller
|
Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin
currents
|
47 pages, v2: minor changes, v3: version as published in JHEP
|
JHEP 8, 159 (2022)
|
10.1007/JHEP08(2022)159
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze how deforming symmetric product orbifolds of two-dimensional
$\mathcal{N}=2$ conformal field theories by an exactly marginal operator lifts
higher spin currents present at the orbifold point. We find on the one hand
that these currents are universally lifted regardless of the underlying CFT. On
the other hand the details of the lifting are surprisingly non-universal, with
dependence on the central charge of the underlying CFT and the specific
marginal operator in use. In the context of the AdS/CFT correspondence, our
results illustrate the mechanism by which the stringy spectrum turns into a
supergravity spectrum when moving through the moduli space. They also provide
further evidence that symmetric product orbifolds of $\mathcal{N}=2$ minimal
models are holographic.
|
[
{
"created": "Fri, 15 Apr 2022 18:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2022 09:20:38 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Aug 2022 12:19:56 GMT",
"version": "v3"
}
] |
2022-08-25
|
[
[
"Apolo",
"Luis",
""
],
[
"Belin",
"Alexandre",
""
],
[
"Bintanja",
"Suzanne",
""
],
[
"Castro",
"Alejandra",
""
],
[
"Keller",
"Christoph A.",
""
]
] |
We analyze how deforming symmetric product orbifolds of two-dimensional $\mathcal{N}=2$ conformal field theories by an exactly marginal operator lifts higher spin currents present at the orbifold point. We find on the one hand that these currents are universally lifted regardless of the underlying CFT. On the other hand the details of the lifting are surprisingly non-universal, with dependence on the central charge of the underlying CFT and the specific marginal operator in use. In the context of the AdS/CFT correspondence, our results illustrate the mechanism by which the stringy spectrum turns into a supergravity spectrum when moving through the moduli space. They also provide further evidence that symmetric product orbifolds of $\mathcal{N}=2$ minimal models are holographic.
| 6.931323
| 6.538797
| 8.480137
| 6.720985
| 6.49392
| 6.554155
| 6.29439
| 6.439599
| 6.424947
| 7.908835
| 6.253588
| 6.730677
| 7.258704
| 6.668059
| 6.70525
| 6.663574
| 6.47875
| 6.623616
| 6.585277
| 7.236847
| 6.560414
|
2407.16538
|
Jose Antonio Oller
|
J. A. Oller and Marcela Pel\'aez
|
Unitarization of the one-loop graviton-graviton scattering amplitudes
and study of the graviball
|
12 pages, 3 figures
| null | null | null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
From the graviton-graviton scattering amplitudes calculated perturbatively in
quantum gravity to the one-loop order, we develop further a formalism that
allows one to calculate infrared-finite partial-wave amplitudes fulfilling
perturbative unitarity. As a result of this process a parameter dubbed $\ln a$
emerges that separate between infrared and typical external momenta. The
resulting partial-wave amplitudes are next unitarized by employing the Inverse
Amplitude Method and the algebraic-$N/D$ method. Then, the graviball resonance,
with a similar pole position, is confirmed in the $S$-wave partial-wave
amplitude for all unitarization methods, also with respect to the unitarization
of only the leading-order amplitude. Based on the requirement for a
well-behaved unitarized effective-field theory of gravity, we can exclude
values $\ln a\lesssim 0.5$, and obtain hints that larger ones $\ln a\gtrsim
1.7$ are disfavored too. Briefly, we discuss the $D$-wave scattering that is
weaker than the $S-$wave scattering, repulsive and non-resonant for $\ln
a\approx 1$.
|
[
{
"created": "Tue, 23 Jul 2024 14:47:49 GMT",
"version": "v1"
}
] |
2024-07-24
|
[
[
"Oller",
"J. A.",
""
],
[
"Peláez",
"Marcela",
""
]
] |
From the graviton-graviton scattering amplitudes calculated perturbatively in quantum gravity to the one-loop order, we develop further a formalism that allows one to calculate infrared-finite partial-wave amplitudes fulfilling perturbative unitarity. As a result of this process a parameter dubbed $\ln a$ emerges that separate between infrared and typical external momenta. The resulting partial-wave amplitudes are next unitarized by employing the Inverse Amplitude Method and the algebraic-$N/D$ method. Then, the graviball resonance, with a similar pole position, is confirmed in the $S$-wave partial-wave amplitude for all unitarization methods, also with respect to the unitarization of only the leading-order amplitude. Based on the requirement for a well-behaved unitarized effective-field theory of gravity, we can exclude values $\ln a\lesssim 0.5$, and obtain hints that larger ones $\ln a\gtrsim 1.7$ are disfavored too. Briefly, we discuss the $D$-wave scattering that is weaker than the $S-$wave scattering, repulsive and non-resonant for $\ln a\approx 1$.
| 12.182068
| 13.578442
| 11.864353
| 11.587726
| 12.740289
| 12.632568
| 12.420585
| 12.489678
| 11.490197
| 13.062151
| 12.51077
| 11.809973
| 11.150745
| 11.049983
| 11.427193
| 11.810826
| 11.841689
| 11.774635
| 10.933635
| 11.077085
| 11.928892
|
1204.0126
|
Daniel Kabat
|
Daniel Kabat, Gilad Lifschytz, Shubho Roy, Debajyoti Sarkar
|
Holographic representation of bulk fields with spin in AdS/CFT
|
45 pages, LaTeX, 1 figure. v2: corrected typo in equation (75)
| null |
10.1103/PhysRevD.86.026004
|
NSF-KITP-12-045
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop the representation of bulk fields with spin one and spin two in
anti-de Sitter space, as non-local observables in the dual CFT. Working in
holographic gauge in the bulk, at leading order in 1/N bulk gauge fields are
obtained by smearing boundary currents over a sphere on the complexified
boundary, while linearized metric fluctuations are obtained by smearing the
boundary stress tensor over a ball. This representation respects AdS covariance
up to a compensating gauge transformation. We also consider massive vector
fields, where the bulk field is obtained by smearing a non-conserved current.
We compute bulk two-point functions and show that bulk locality is respected.
We show how to include interactions of massive vectors using 1/N perturbation
theory, and we comment on the issue of general backgrounds.
|
[
{
"created": "Sat, 31 Mar 2012 19:45:02 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jul 2012 17:30:50 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Kabat",
"Daniel",
""
],
[
"Lifschytz",
"Gilad",
""
],
[
"Roy",
"Shubho",
""
],
[
"Sarkar",
"Debajyoti",
""
]
] |
We develop the representation of bulk fields with spin one and spin two in anti-de Sitter space, as non-local observables in the dual CFT. Working in holographic gauge in the bulk, at leading order in 1/N bulk gauge fields are obtained by smearing boundary currents over a sphere on the complexified boundary, while linearized metric fluctuations are obtained by smearing the boundary stress tensor over a ball. This representation respects AdS covariance up to a compensating gauge transformation. We also consider massive vector fields, where the bulk field is obtained by smearing a non-conserved current. We compute bulk two-point functions and show that bulk locality is respected. We show how to include interactions of massive vectors using 1/N perturbation theory, and we comment on the issue of general backgrounds.
| 9.511865
| 8.642889
| 10.449836
| 8.853103
| 9.180617
| 9.057125
| 7.907819
| 8.728301
| 8.717265
| 11.045473
| 8.417167
| 9.087429
| 9.885881
| 9.037048
| 9.280107
| 9.121469
| 8.88864
| 9.03021
| 8.747566
| 10.354194
| 8.970278
|
1610.04163
|
Kallosh Renata
|
Sergio Ferrara and Renata Kallosh
|
Seven-Disk Manifold, alpha-attractors and B-modes
|
11 p, 1 figure
|
Phys. Rev. D 94, 126015 (2016)
|
10.1103/PhysRevD.94.126015
|
CERN-TH-2016-214
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cosmological alpha-attractor models in \cN=1 supergravity are based on
hyperbolic geometry of a Poincar\'e disk with the radius square {\cal
R}^2=3\alpha. The predictions for the B-modes, r\approx 3\alpha {4\over N^2},
depend on moduli space geometry and are robust for a rather general class of
potentials. Here we notice that starting with M-theory compactified on a
7-manifold with G_2 holonomy, with a special choice of Betti numbers, one can
obtain d=4 \cN=1 supergravity with rank 7 scalar coset \Big[{SL(2)\over
SO(2)}\Big]^7. In a model where these 7 unit size Poincar\'e disks have
identified moduli one finds that 3 alpha =7. Assuming that the moduli space
geometry of the phenomenological models is inherited from this version of
M-theory, one would predict r \approx 10^{-2} for 53 e-foldings. We also
describe the related maximal supergravity and M/string theory models leading to
preferred values 3 alpha =1,2,3,4,5,6,7.
|
[
{
"created": "Thu, 13 Oct 2016 16:35:47 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2016 20:11:06 GMT",
"version": "v2"
}
] |
2017-01-04
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Kallosh",
"Renata",
""
]
] |
Cosmological alpha-attractor models in \cN=1 supergravity are based on hyperbolic geometry of a Poincar\'e disk with the radius square {\cal R}^2=3\alpha. The predictions for the B-modes, r\approx 3\alpha {4\over N^2}, depend on moduli space geometry and are robust for a rather general class of potentials. Here we notice that starting with M-theory compactified on a 7-manifold with G_2 holonomy, with a special choice of Betti numbers, one can obtain d=4 \cN=1 supergravity with rank 7 scalar coset \Big[{SL(2)\over SO(2)}\Big]^7. In a model where these 7 unit size Poincar\'e disks have identified moduli one finds that 3 alpha =7. Assuming that the moduli space geometry of the phenomenological models is inherited from this version of M-theory, one would predict r \approx 10^{-2} for 53 e-foldings. We also describe the related maximal supergravity and M/string theory models leading to preferred values 3 alpha =1,2,3,4,5,6,7.
| 10.359295
| 10.994797
| 12.185797
| 10.489907
| 11.117264
| 12.886961
| 12.357285
| 10.236492
| 10.810264
| 12.485953
| 10.384271
| 10.247566
| 10.806329
| 10.154424
| 10.589951
| 10.760725
| 10.612573
| 10.060728
| 10.05394
| 10.949947
| 10.313741
|
hep-th/9511058
|
Rolf Schimmrigk
|
Monika Lynker and Rolf Schimmrigk
|
Conifold Transitions and Mirror Symmetries
|
23 pages
|
Nucl.Phys. B484 (1997) 562-582
|
10.1016/S0550-3213(96)00557-3
|
NSF-ITP-95-141, BONN-TH-95-20
|
hep-th
| null |
Recent work initiated by Strominger has lead to a consistent physical
interpretation of certain types of transitions between different string vacua.
These transitions, discovered several years ago, involve singular conifold
configurations which connect distinct Calabi-Yau manifolds. In this paper we
discuss a number of aspects of conifold transitions pertinent to both
worldsheet and spacetime mirror symmetry. It is shown that the mirror transform
based on fractional transformations allows an extension of the mirror map to
conifold boundary points of the moduli space of weighted Calabi-Yau manifolds.
The conifold points encountered in the mirror context are not amenable to an
analysis via the original splitting constructions. We describe the first
examples of such nonsplitting conifold transitions, which turn out to connect
the known web of Calabi-Yau spaces to new regions of the collective moduli
space. We then generalize the splitting conifold transition to weighted
manifolds and describe a class of connections between the webs of ordinary and
weighted projective Calabi-Yau spaces. Combining these two constructions we
find evidence for a dual analog of conifold transitions in heterotic N$=$2
compactifications on K3$\times $T$^2$ and in particular describe the first
conifold transition of a Calabi-Yau manifold whose heterotic dual has been
identified by Kachru and Vafa. We furthermore present a special type of
conifold transition which, when applied to certain classes of Calabi-Yau K3
fibrations, preserves the fiber structure.
|
[
{
"created": "Thu, 9 Nov 1995 07:42:45 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Lynker",
"Monika",
""
],
[
"Schimmrigk",
"Rolf",
""
]
] |
Recent work initiated by Strominger has lead to a consistent physical interpretation of certain types of transitions between different string vacua. These transitions, discovered several years ago, involve singular conifold configurations which connect distinct Calabi-Yau manifolds. In this paper we discuss a number of aspects of conifold transitions pertinent to both worldsheet and spacetime mirror symmetry. It is shown that the mirror transform based on fractional transformations allows an extension of the mirror map to conifold boundary points of the moduli space of weighted Calabi-Yau manifolds. The conifold points encountered in the mirror context are not amenable to an analysis via the original splitting constructions. We describe the first examples of such nonsplitting conifold transitions, which turn out to connect the known web of Calabi-Yau spaces to new regions of the collective moduli space. We then generalize the splitting conifold transition to weighted manifolds and describe a class of connections between the webs of ordinary and weighted projective Calabi-Yau spaces. Combining these two constructions we find evidence for a dual analog of conifold transitions in heterotic N$=$2 compactifications on K3$\times $T$^2$ and in particular describe the first conifold transition of a Calabi-Yau manifold whose heterotic dual has been identified by Kachru and Vafa. We furthermore present a special type of conifold transition which, when applied to certain classes of Calabi-Yau K3 fibrations, preserves the fiber structure.
| 10.760255
| 11.213993
| 12.035506
| 10.84021
| 11.491983
| 11.420115
| 11.065845
| 10.800413
| 10.744579
| 12.315018
| 10.530025
| 10.770969
| 11.026145
| 10.76411
| 10.916397
| 11.001666
| 10.858811
| 10.829084
| 10.615085
| 10.986794
| 10.594373
|
1412.4499
|
Diego Rubiera-Garcia
|
Francisco S. N. Lobo, Gonzalo J. Olmo, and D. Rubiera-Garcia
|
Crystal clear lessons on the microstructure of space-time and modified
gravity
|
7 pages; some minor corrections added
|
Phys. Rev. D 91, 124001 (2015)
|
10.1103/PhysRevD.91.124001
|
IFIC/14-82
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that a microscopic structure for space-time such as that expected in
a quantum foam scenario, in which microscopic wormholes and other topological
structures should play a relevant role, might lead to an effective
metric-affine geometry at larger scales. This idea is supported by the role
that microscopic defects play in crystalline structures. With an explicit model
we show that wormhole formation is possible in a metric-affine scenario, where
the wormhole and the matter fields play a role analogous to that of defects in
crystals. We also point out that in metric-affine geometries Einstein's
equations with an effective cosmological constant appear as an attractor in the
vacuum limit for a vast family of theories of gravity. This illustrates how
lessons from solid state physics can be useful in unveiling the properties of
the microcosmos and defining new avenues for modified theories of gravity.
|
[
{
"created": "Mon, 15 Dec 2014 08:52:06 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jun 2015 05:36:59 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Lobo",
"Francisco S. N.",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"D.",
""
]
] |
We argue that a microscopic structure for space-time such as that expected in a quantum foam scenario, in which microscopic wormholes and other topological structures should play a relevant role, might lead to an effective metric-affine geometry at larger scales. This idea is supported by the role that microscopic defects play in crystalline structures. With an explicit model we show that wormhole formation is possible in a metric-affine scenario, where the wormhole and the matter fields play a role analogous to that of defects in crystals. We also point out that in metric-affine geometries Einstein's equations with an effective cosmological constant appear as an attractor in the vacuum limit for a vast family of theories of gravity. This illustrates how lessons from solid state physics can be useful in unveiling the properties of the microcosmos and defining new avenues for modified theories of gravity.
| 12.439172
| 13.342094
| 10.809674
| 10.802661
| 12.158718
| 12.150558
| 13.476381
| 11.208
| 12.458302
| 12.061182
| 12.500022
| 11.512044
| 11.446293
| 11.436634
| 11.583494
| 11.639677
| 12.027411
| 11.630564
| 11.869675
| 11.824835
| 11.66753
|
hep-th/0206001
|
Hyun Seok Yang
|
Bum-Hoon Lee and Hyun Seok Yang
|
Propagators in Noncommutative Instantons
|
28 pages, Latex, v2: A few typos corrected
|
Phys.Rev. D66 (2002) 045027
|
10.1103/PhysRevD.66.045027
|
SOGANG-HEP 298/02
|
hep-th hep-ph
| null |
We explicitly construct Green functions for a field in an arbitrary
representation of gauge group propagating in noncommutative instanton
backgrounds based on the ADHM construction. The propagators for spinor and
vector fields can be constructed in terms of those for the scalar field in
noncommutative instanton background. We show that the propagators in the
adjoint representation are deformed by noncommutativity while those in the
fundamental representation have exactly the same form as the commutative case.
|
[
{
"created": "Mon, 3 Jun 2002 05:50:40 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2002 09:50:40 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Lee",
"Bum-Hoon",
""
],
[
"Yang",
"Hyun Seok",
""
]
] |
We explicitly construct Green functions for a field in an arbitrary representation of gauge group propagating in noncommutative instanton backgrounds based on the ADHM construction. The propagators for spinor and vector fields can be constructed in terms of those for the scalar field in noncommutative instanton background. We show that the propagators in the adjoint representation are deformed by noncommutativity while those in the fundamental representation have exactly the same form as the commutative case.
| 6.326136
| 5.613842
| 6.46788
| 5.701041
| 5.287784
| 5.698781
| 5.503719
| 5.4265
| 5.370869
| 7.052738
| 5.524225
| 5.677609
| 6.346845
| 5.793872
| 5.561834
| 5.598846
| 5.626035
| 5.744774
| 5.917403
| 6.346336
| 5.733216
|
2302.04827
|
Gustavo Brito
|
Gustavo P. de Brito, Philipe De Fabritiis, Antonio D. Pereira
|
Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau
gauge
|
18 pages + refs.; 6 figures; Matches the journal version
| null |
10.1103/PhysRevD.107.114006
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge accounts for
the existence of infinitesimal Gribov copies as well as the dynamical formation
of condensates in the infrared of Euclidean Yang-Mills theories. We couple
scalar fields to the RGZ action and compute the one-loop scalar propagator in
the adjoint representation of the gauge group. We compare our findings with
existing lattice data. The fate of BRST symmetry in this model is discussed,
and we provide a comparison to a previous proposal for a non-minimal coupling
between matter and the RGZ action. We find good agreement with the lattice data
of the scalar propagator for the values of the mass parameters that fit the RGZ
gluon propagator to the lattice. This suggests that the non-perturbative
information carried by the gluon propagator in the RGZ framework provides a
suitable mechanism to reproduce the behavior of correlation functions of
colored matter fields in the infrared.
|
[
{
"created": "Thu, 9 Feb 2023 18:31:55 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2023 16:59:04 GMT",
"version": "v2"
}
] |
2023-09-11
|
[
[
"de Brito",
"Gustavo P.",
""
],
[
"De Fabritiis",
"Philipe",
""
],
[
"Pereira",
"Antonio D.",
""
]
] |
The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge accounts for the existence of infinitesimal Gribov copies as well as the dynamical formation of condensates in the infrared of Euclidean Yang-Mills theories. We couple scalar fields to the RGZ action and compute the one-loop scalar propagator in the adjoint representation of the gauge group. We compare our findings with existing lattice data. The fate of BRST symmetry in this model is discussed, and we provide a comparison to a previous proposal for a non-minimal coupling between matter and the RGZ action. We find good agreement with the lattice data of the scalar propagator for the values of the mass parameters that fit the RGZ gluon propagator to the lattice. This suggests that the non-perturbative information carried by the gluon propagator in the RGZ framework provides a suitable mechanism to reproduce the behavior of correlation functions of colored matter fields in the infrared.
| 6.854884
| 5.95442
| 6.376325
| 5.691506
| 5.879004
| 5.828968
| 6.265109
| 5.76789
| 5.730329
| 6.443921
| 5.706187
| 6.042635
| 6.482946
| 5.962708
| 6.011082
| 6.108139
| 6.057845
| 5.952624
| 6.189843
| 6.343111
| 6.181142
|
1710.09994
|
Yasuyuki Hatsuda
|
Dongmin Gang, Yasuyuki Hatsuda
|
S-duality resurgence in SL(2) Chern-Simons theory
|
23 pages
| null |
10.1007/JHEP07(2018)053
|
RUP-17-22
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find that an S-duality in SL(2) Chern-Simons theory for hyperbolic
3-manifolds emerges by the Borel resummation of a semiclassical expansion
around a particular flat connection associated to the hyperbolic structure. We
demonstrate it numerically with two representative examples of hyperbolic
3-manifolds.
|
[
{
"created": "Fri, 27 Oct 2017 05:50:45 GMT",
"version": "v1"
}
] |
2018-08-01
|
[
[
"Gang",
"Dongmin",
""
],
[
"Hatsuda",
"Yasuyuki",
""
]
] |
We find that an S-duality in SL(2) Chern-Simons theory for hyperbolic 3-manifolds emerges by the Borel resummation of a semiclassical expansion around a particular flat connection associated to the hyperbolic structure. We demonstrate it numerically with two representative examples of hyperbolic 3-manifolds.
| 9.87696
| 7.828605
| 10.647938
| 7.931408
| 7.709108
| 8.169864
| 7.690116
| 7.900442
| 8.353112
| 10.28158
| 7.661574
| 8.228185
| 8.639238
| 8.556962
| 8.0172
| 8.209606
| 8.085483
| 8.349172
| 8.845644
| 8.057187
| 8.456732
|
hep-th/9507139
|
Moretti Walter
|
Valter Moretti, Luciano Vanzo (Dept. Phys. Univ. Trento Italy)
|
Thermal Wightman Functions and Renormalized Stress Tensors in the
Rindler Wedge
|
More comments and formulas added in the case of spin 1, a few signs
changed in some formulas, it will appear on Phys. Lett
|
Phys.Lett. B375 (1996) 54-59
|
10.1016/0370-2693(96)00223-7
|
UTF 352
|
hep-th gr-qc
| null |
The Wightman functions in the Rindler portion of Minkowski space-time are
presented for any value of the temperature and for massless spin fields up to
s=1 and the renormalized stress tensor relative to Minkowski vacuum is
discussed. A gauge ambiguity in the vector case is pointed out.
|
[
{
"created": "Wed, 26 Jul 1995 10:11:02 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 1996 09:55:09 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Moretti",
"Valter",
"",
"Dept. Phys. Univ. Trento Italy"
],
[
"Vanzo",
"Luciano",
"",
"Dept. Phys. Univ. Trento Italy"
]
] |
The Wightman functions in the Rindler portion of Minkowski space-time are presented for any value of the temperature and for massless spin fields up to s=1 and the renormalized stress tensor relative to Minkowski vacuum is discussed. A gauge ambiguity in the vector case is pointed out.
| 17.98992
| 13.540059
| 13.919737
| 12.580667
| 12.804783
| 14.374908
| 14.444385
| 14.542109
| 12.461155
| 17.470417
| 12.379324
| 13.457001
| 13.885437
| 12.699297
| 14.125863
| 15.901181
| 14.372752
| 13.117484
| 12.611828
| 13.726416
| 13.607366
|
2009.11305
|
Ronak M Soni
|
Adam Levine, Arvin Shahbazi-Moghaddam, Ronak M Soni
|
Seeing the Entanglement Wedge
|
53 pages, 7 figures; version accepted for publication
|
JHEP06(2021)134
|
10.1007/JHEP06(2021)134
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the problem of revealing the entanglement wedge using simple
operations. We ask what operation a semiclassical observer can do to bring the
entanglement wedge into causal contact with the boundary, via backreaction.
In a generic perturbative class of states, we propose a unitary operation in
the causal wedge whose backreaction brings all of the previously causally
inaccessible `peninsula' into causal contact with the boundary. This class of
cases includes entanglement wedges associated to boundary sub-regions that are
unions of disjoint spherical caps, and the protocol works to first order in the
size of the peninsula. The unitary is closely related to the so-called Connes
Cocycle flow, which is a unitary that is both well-defined in QFT and localised
to a sub-region. Our construction requires a generalization of the work by
Ceyhan & Faulkner to regions which are unions of disconnected spherical caps.
We discuss this generalization in the Appendix. We argue that this cocycle
should be thought of as naturally generalizing the non-local coupling
introduced in the work of Gao, Jafferis & Wall.
|
[
{
"created": "Wed, 23 Sep 2020 18:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Oct 2020 01:23:20 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Jun 2021 21:51:22 GMT",
"version": "v3"
}
] |
2021-06-24
|
[
[
"Levine",
"Adam",
""
],
[
"Shahbazi-Moghaddam",
"Arvin",
""
],
[
"Soni",
"Ronak M",
""
]
] |
We study the problem of revealing the entanglement wedge using simple operations. We ask what operation a semiclassical observer can do to bring the entanglement wedge into causal contact with the boundary, via backreaction. In a generic perturbative class of states, we propose a unitary operation in the causal wedge whose backreaction brings all of the previously causally inaccessible `peninsula' into causal contact with the boundary. This class of cases includes entanglement wedges associated to boundary sub-regions that are unions of disjoint spherical caps, and the protocol works to first order in the size of the peninsula. The unitary is closely related to the so-called Connes Cocycle flow, which is a unitary that is both well-defined in QFT and localised to a sub-region. Our construction requires a generalization of the work by Ceyhan & Faulkner to regions which are unions of disconnected spherical caps. We discuss this generalization in the Appendix. We argue that this cocycle should be thought of as naturally generalizing the non-local coupling introduced in the work of Gao, Jafferis & Wall.
| 11.785682
| 12.89862
| 13.803663
| 12.313409
| 13.347255
| 12.735988
| 14.246437
| 12.724409
| 12.661633
| 15.177927
| 12.334602
| 11.874748
| 12.233873
| 11.570607
| 11.411491
| 11.778808
| 12.177589
| 11.827223
| 11.960047
| 13.153324
| 11.342037
|
1102.0739
|
Gerry McKeon
|
D.G.C. McKeon
|
The Renormalization Group and the Effective Action
| null | null |
10.1139/P11-021
| null |
hep-th
|
http://creativecommons.org/licenses/by/3.0/
|
The renormalization group is used to sum the leading-log (LL) contributions
to the effective action for a large constant external gauge field in terms of
the one-loop renormalization group (RG) function beta, the next-to-leading-log
(NLL) contributions in terms of the two-loop RG function etc. The log
independent pieces are not determined by the RG equation, but can be fixed by
the anomaly in the trace of the energy-momentum tensor. Similar considerations
can be applied to the effective potential V for a scalar field phi; here the
log independent pieces are fixed by the condition V'(phi=v)=0.
|
[
{
"created": "Thu, 3 Feb 2011 17:31:31 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"McKeon",
"D. G. C.",
""
]
] |
The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function beta, the next-to-leading-log (NLL) contributions in terms of the two-loop RG function etc. The log independent pieces are not determined by the RG equation, but can be fixed by the anomaly in the trace of the energy-momentum tensor. Similar considerations can be applied to the effective potential V for a scalar field phi; here the log independent pieces are fixed by the condition V'(phi=v)=0.
| 8.034149
| 6.91458
| 7.843657
| 6.766915
| 7.008883
| 6.915791
| 7.273717
| 6.765936
| 6.951297
| 8.311347
| 6.710999
| 7.151541
| 7.165874
| 6.824505
| 7.233502
| 7.045459
| 7.148375
| 6.845933
| 7.04074
| 7.176861
| 7.014687
|
1704.05855
|
Harold Erbin
|
Corinne de Lacroix and Harold Erbin and Eirik E. Svanes
|
Minisuperspace computation of the Mabuchi spectrum
|
23 pages; v2: minor improvements, match published version
| null |
10.1088/1361-6382/aad7f3
|
LPTENS/17/08
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It was shown recently that, beside the traditional Liouville action, other
functionals appear in the gravitational action of two-dimensional quantum
gravity in the conformal gauge, the most important one being the Mabuchi
functional. In a letter we proposed a minisuperspace action for this theory and
used it to perform its canonical quantization. We found that the Hamiltonian of
the Mabuchi theory is equal to the one of the Liouville theory and thus that
the spectrum and correlation functions match in this approximation. In this
paper we provide motivations to support our conjecture.
|
[
{
"created": "Wed, 19 Apr 2017 18:00:07 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Aug 2018 13:22:31 GMT",
"version": "v2"
}
] |
2018-08-07
|
[
[
"de Lacroix",
"Corinne",
""
],
[
"Erbin",
"Harold",
""
],
[
"Svanes",
"Eirik E.",
""
]
] |
It was shown recently that, beside the traditional Liouville action, other functionals appear in the gravitational action of two-dimensional quantum gravity in the conformal gauge, the most important one being the Mabuchi functional. In a letter we proposed a minisuperspace action for this theory and used it to perform its canonical quantization. We found that the Hamiltonian of the Mabuchi theory is equal to the one of the Liouville theory and thus that the spectrum and correlation functions match in this approximation. In this paper we provide motivations to support our conjecture.
| 9.988958
| 8.720465
| 9.586521
| 8.962365
| 8.844872
| 9.015141
| 8.677904
| 8.776742
| 8.843415
| 9.689548
| 8.967629
| 8.960291
| 9.180744
| 9.172931
| 9.133009
| 8.941197
| 9.134706
| 9.006163
| 9.326274
| 9.580519
| 9.277291
|
1103.4759
|
Roldao da Rocha
|
Roldao da Rocha, Alex E. Bernardini, J. M. Hoff da Silva
|
Exotic Dark Spinor Fields
|
24 pages. Part of Section 2 was sent to Appendix. References updated
|
JHEP 1104:110,2011
|
10.1007/JHEP04(2011)110
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Exotic dark spinor fields are introduced and investigated in the context of
inequivalent spin structures on arbitrary curved spacetimes, which induces an
additional term on the associated Dirac operator, related to a Cech cohomology
class. For the most kinds of spinor fields, any exotic term in the Dirac
operator can be absorbed and encoded as a shift of the electromagnetic vector
potential representing an element of the cohomology group H^1(M, Z_2). The
possibility of concealing such an exotic term does not exist in case of dark
(ELKO) spinor fields, as they cannot carry electromagnetic charge, so that the
full topological analysis must be evaluated. Since exotic dark spinor fields
also satisfy Klein-Gordon propagators, the dynamical constraints related to the
exotic term in the Dirac equation can be explicitly calculated. It forthwith
implies that the non-trivial topology associated to the spacetime can
drastically engender --- from the dynamics of dark spinor fields ---
constraints in the spacetime metric structure. Meanwhile, such constraints may
be alleviated, at the cost of constraining the exotic spacetime topology.
Besides being prime candidates to the dark matter problem, dark spinor fields
are shown to be potential candidates to probe non-trivial topologies in
spacetime, as well as probe the spacetime metric structure.
|
[
{
"created": "Thu, 24 Mar 2011 13:19:35 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2011 09:40:35 GMT",
"version": "v2"
}
] |
2011-05-13
|
[
[
"da Rocha",
"Roldao",
""
],
[
"Bernardini",
"Alex E.",
""
],
[
"da Silva",
"J. M. Hoff",
""
]
] |
Exotic dark spinor fields are introduced and investigated in the context of inequivalent spin structures on arbitrary curved spacetimes, which induces an additional term on the associated Dirac operator, related to a Cech cohomology class. For the most kinds of spinor fields, any exotic term in the Dirac operator can be absorbed and encoded as a shift of the electromagnetic vector potential representing an element of the cohomology group H^1(M, Z_2). The possibility of concealing such an exotic term does not exist in case of dark (ELKO) spinor fields, as they cannot carry electromagnetic charge, so that the full topological analysis must be evaluated. Since exotic dark spinor fields also satisfy Klein-Gordon propagators, the dynamical constraints related to the exotic term in the Dirac equation can be explicitly calculated. It forthwith implies that the non-trivial topology associated to the spacetime can drastically engender --- from the dynamics of dark spinor fields --- constraints in the spacetime metric structure. Meanwhile, such constraints may be alleviated, at the cost of constraining the exotic spacetime topology. Besides being prime candidates to the dark matter problem, dark spinor fields are shown to be potential candidates to probe non-trivial topologies in spacetime, as well as probe the spacetime metric structure.
| 12.443582
| 13.235372
| 13.80574
| 12.68973
| 12.460228
| 13.871424
| 13.712746
| 12.403573
| 12.443286
| 13.414173
| 12.631466
| 11.900187
| 12.777391
| 12.311357
| 12.277999
| 12.621862
| 12.279835
| 12.199135
| 12.569852
| 12.528234
| 12.060546
|
0905.2856
|
Pavel Yu. Moshin
|
A.V. Timoshkin
|
Specially Coupled Dark Energy in the Oscillating FRW Cosmology
|
4 pages
|
Open Astron.J.2:39-42,2009
|
10.2174/1874381100902010039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a four-dimensional flat-space Friedman universe, which is filled
with two interacting ideal fluids (the coupling of dark energy with dark matter
of special form). The gravitational equations of motion are solved. It is shown
that in some cases there appears a periodic universe with finite-time
cosmological singularities and also the universe becomes static in the remote
future.
|
[
{
"created": "Mon, 18 May 2009 11:00:23 GMT",
"version": "v1"
}
] |
2009-09-07
|
[
[
"Timoshkin",
"A. V.",
""
]
] |
We consider a four-dimensional flat-space Friedman universe, which is filled with two interacting ideal fluids (the coupling of dark energy with dark matter of special form). The gravitational equations of motion are solved. It is shown that in some cases there appears a periodic universe with finite-time cosmological singularities and also the universe becomes static in the remote future.
| 17.427637
| 16.486553
| 15.433638
| 15.531272
| 14.973228
| 15.340782
| 15.398037
| 14.961758
| 15.537735
| 16.358604
| 14.923396
| 15.249289
| 15.781671
| 15.899218
| 15.85034
| 16.366049
| 16.145502
| 15.752316
| 17.011499
| 15.798973
| 15.862952
|
2012.11693
|
Joe Davighi
|
Joe Davighi, Nakarin Lohitsiri
|
Omega vs. pi, and 6d anomaly cancellation
|
36 pages, 6 figures. Footnotes added to clarify notation for
eta-invariant. Matches version accepted for publication
| null |
10.1007/JHEP05(2021)267
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we review the role of homotopy groups in determining
non-perturbative (henceforth `global') gauge anomalies, in light of recent
progress understanding global anomalies using bordism. We explain why
non-vanishing of $\pi_d(G)$ is neither a necessary nor a sufficient condition
for there being a possible global anomaly in a $d$-dimensional chiral gauge
theory with gauge group $G$. To showcase the failure of sufficiency, we revisit
`global anomalies' that have been previously studied in 6d gauge theories with
$G=SU(2)$, $SU(3)$, or $G_2$. Even though $\pi_6(G) \neq 0$, the bordism groups
$\Omega_7^\mathrm{Spin}(BG)$ vanish in all three cases, implying there are no
global anomalies. In the case of $G=SU(2)$ we carefully scrutinize the role of
homotopy, and explain why any 7-dimensional mapping torus must be trivial from
the bordism perspective. In all these 6d examples, the conditions previously
thought to be necessary for global anomaly cancellation are in fact necessary
conditions for the local anomalies to vanish.
|
[
{
"created": "Mon, 21 Dec 2020 21:40:27 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2021 16:40:17 GMT",
"version": "v2"
}
] |
2021-11-12
|
[
[
"Davighi",
"Joe",
""
],
[
"Lohitsiri",
"Nakarin",
""
]
] |
In this note we review the role of homotopy groups in determining non-perturbative (henceforth `global') gauge anomalies, in light of recent progress understanding global anomalies using bordism. We explain why non-vanishing of $\pi_d(G)$ is neither a necessary nor a sufficient condition for there being a possible global anomaly in a $d$-dimensional chiral gauge theory with gauge group $G$. To showcase the failure of sufficiency, we revisit `global anomalies' that have been previously studied in 6d gauge theories with $G=SU(2)$, $SU(3)$, or $G_2$. Even though $\pi_6(G) \neq 0$, the bordism groups $\Omega_7^\mathrm{Spin}(BG)$ vanish in all three cases, implying there are no global anomalies. In the case of $G=SU(2)$ we carefully scrutinize the role of homotopy, and explain why any 7-dimensional mapping torus must be trivial from the bordism perspective. In all these 6d examples, the conditions previously thought to be necessary for global anomaly cancellation are in fact necessary conditions for the local anomalies to vanish.
| 6.430677
| 6.929078
| 6.541613
| 6.046662
| 6.827001
| 6.927278
| 6.86482
| 6.426245
| 6.263206
| 7.522056
| 6.248602
| 6.022964
| 6.240172
| 6.011712
| 6.123201
| 6.017423
| 5.979239
| 6.15847
| 6.018907
| 6.172468
| 5.864271
|
2003.07381
|
Vladimir Rosenhaus
|
Vladimir Rosenhaus
|
Chaos in the Quantum Field Theory $S$-matrix
|
v2 - minor changes, 5 pages
|
Phys. Rev. Lett. 127, 021601 (2021)
|
10.1103/PhysRevLett.127.021601
| null |
hep-th cond-mat.str-el nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A number of studies have shown that chaos occurs in scattering: the outgoing
deflection angle is seen to be an erratic function of the impact parameter. We
propose to extend this to quantum field theory, and to use erratic behavior of
the many-particle $S$-matrix as a probe of chaos.
|
[
{
"created": "Mon, 16 Mar 2020 18:01:11 GMT",
"version": "v1"
},
{
"created": "Fri, 28 May 2021 00:36:28 GMT",
"version": "v2"
}
] |
2021-07-14
|
[
[
"Rosenhaus",
"Vladimir",
""
]
] |
A number of studies have shown that chaos occurs in scattering: the outgoing deflection angle is seen to be an erratic function of the impact parameter. We propose to extend this to quantum field theory, and to use erratic behavior of the many-particle $S$-matrix as a probe of chaos.
| 16.068893
| 14.194844
| 14.218429
| 13.380175
| 14.241729
| 11.894676
| 13.256992
| 13.087757
| 12.211792
| 14.406964
| 13.582955
| 12.174556
| 12.764508
| 12.095894
| 12.837503
| 12.622763
| 11.881695
| 12.269129
| 12.187195
| 13.579257
| 13.259445
|
hep-th/9209037
| null |
E. Bergshoeff, A. Sevrin and X. Shen
|
A Derivation of the BRST Operator for Non-Critical W-Strings
|
TEX file, pp14, UG-8/92, CERN-TH.6647/92,LBL-32806
|
Phys.Lett. B296 (1992) 95-103
|
10.1016/0370-2693(92)90808-H
| null |
hep-th
| null |
We derive the recently proposed BRST charge for non-critical W strings from a
Lagragian approach. The basic observation is that, despite appearances, the
combination of two classical ``matter'' and ``Toda'' w_3 systems leads to a
closed modified gauge algebra, which is of the so-called soft type. Based on
these observations, a novel way to construct critical W_3 strings is given.
|
[
{
"created": "Fri, 11 Sep 1992 16:34:20 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bergshoeff",
"E.",
""
],
[
"Sevrin",
"A.",
""
],
[
"Shen",
"X.",
""
]
] |
We derive the recently proposed BRST charge for non-critical W strings from a Lagragian approach. The basic observation is that, despite appearances, the combination of two classical ``matter'' and ``Toda'' w_3 systems leads to a closed modified gauge algebra, which is of the so-called soft type. Based on these observations, a novel way to construct critical W_3 strings is given.
| 25.962009
| 20.214388
| 28.337
| 20.152248
| 22.580471
| 23.354908
| 21.54501
| 21.529655
| 21.211702
| 31.296535
| 22.114361
| 21.437944
| 27.379406
| 21.685129
| 22.1546
| 22.226244
| 21.571016
| 22.960827
| 22.3722
| 26.691137
| 21.315279
|
hep-th/0104072
|
Karim Ait Moussa
|
Karim Ait Moussa
|
On the (im)possibility of a supersymmetric extension of NGT
|
17 pages, Latex,two references added, minor changes for clarity, v3:
E-mail changed, v4 : Ref(9) corrected
|
Class.Quant.Grav.20:193-204,2003
|
10.1088/0264-9381/20/1/314
| null |
hep-th
| null |
We investigate the possibility of constructing a locally supersymmetric
extension of NGT (Nonsymmetric Gravitation Theory), based on the graded
extension of the Poincare group. In the framework of the simple model that we
propose, we end up with a no-go result, namely the impossibility of cancelling
some linear contribution in the gravitino field. This drawback seems to
seriously undermine the construction of a supergravity based on NGT.
|
[
{
"created": "Mon, 9 Apr 2001 01:57:54 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Oct 2002 17:12:15 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Oct 2002 13:42:47 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Oct 2002 10:34:34 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Moussa",
"Karim Ait",
""
]
] |
We investigate the possibility of constructing a locally supersymmetric extension of NGT (Nonsymmetric Gravitation Theory), based on the graded extension of the Poincare group. In the framework of the simple model that we propose, we end up with a no-go result, namely the impossibility of cancelling some linear contribution in the gravitino field. This drawback seems to seriously undermine the construction of a supergravity based on NGT.
| 10.059819
| 10.773665
| 10.296382
| 8.660217
| 9.590788
| 9.208976
| 9.828848
| 8.987585
| 9.336283
| 9.503577
| 9.138549
| 8.754652
| 8.95414
| 8.858969
| 8.912627
| 9.315285
| 9.077229
| 8.907418
| 9.315642
| 8.980134
| 9.055438
|
2105.10526
|
Jakob Salzer
|
Kevin Nguyen and Jakob Salzer
|
Celestial IR divergences and the effective action of supertranslation
modes
|
24 pages, one figure
|
JHEP 09 (2021) 144
|
10.1007/JHEP09(2021)144
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Infrared divergences in perturbative gravitational scattering amplitudes have
been recently argued to be governed by the two-point function of the
supertranslation Goldstone mode on the celestial sphere. We show that the form
of this celestial two-point function simply derives from an effective action
that also controls infrared divergences in the symplectic structure of General
Relativity with asymptotically flat boundary conditions. This effective action
finds its natural place in a path integral formulation of a celestial conformal
field theory, as we illustrate by re-deriving the infrared soft factors in
terms of celestial correlators. Our analysis relies on a well-posed action
principle close to spatial infinity introduced by Comp\`ere and Dehouck.
|
[
{
"created": "Fri, 21 May 2021 18:29:29 GMT",
"version": "v1"
}
] |
2021-11-30
|
[
[
"Nguyen",
"Kevin",
""
],
[
"Salzer",
"Jakob",
""
]
] |
Infrared divergences in perturbative gravitational scattering amplitudes have been recently argued to be governed by the two-point function of the supertranslation Goldstone mode on the celestial sphere. We show that the form of this celestial two-point function simply derives from an effective action that also controls infrared divergences in the symplectic structure of General Relativity with asymptotically flat boundary conditions. This effective action finds its natural place in a path integral formulation of a celestial conformal field theory, as we illustrate by re-deriving the infrared soft factors in terms of celestial correlators. Our analysis relies on a well-posed action principle close to spatial infinity introduced by Comp\`ere and Dehouck.
| 10.197848
| 7.68413
| 8.742746
| 7.811709
| 8.115948
| 7.593359
| 7.864602
| 8.080411
| 7.688508
| 9.442411
| 8.221635
| 8.160669
| 8.01881
| 7.908947
| 7.920144
| 8.211895
| 8.197171
| 8.162826
| 8.42325
| 8.272549
| 8.13614
|
hep-th/9711050
|
Bodo Geyer
|
B. Geyer (Leipzig University) and D. M"ulsch (Wissenschaftszentrum
e.V.)
|
Symmetry properties of massive gauge theories in nonlinear background
gauges: Background dependence of Green functions
|
10 pages, LATEX
| null | null |
NTZ-29/97
|
hep-th
| null |
Nonabelian gauge theories with a generic background field A_mu in nonlinear
gauges due to Delbourgo and Jarvis are investigated. The A_mu-dependence is
completely determined by the help of a linear differential equation which
obtaines from the Kluberg-Stern-Zuber and the Lee identity. Its integration
leads to a relation between the one-particle irreducible vertex functional in
the background field A_mu and the corresponding functional for A_mu = 0. An
analogous relation holds for the generating functional of the complete Green
functions which, after restriction to physical Green functions, is used to
confirm a result obtained by Rouet in the case of linear background gauge.
|
[
{
"created": "Fri, 7 Nov 1997 16:17:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Geyer",
"B.",
"",
"Leipzig University"
],
[
"M\"ulsch",
"D.",
"",
"Wissenschaftszentrum\n e.V."
]
] |
Nonabelian gauge theories with a generic background field A_mu in nonlinear gauges due to Delbourgo and Jarvis are investigated. The A_mu-dependence is completely determined by the help of a linear differential equation which obtaines from the Kluberg-Stern-Zuber and the Lee identity. Its integration leads to a relation between the one-particle irreducible vertex functional in the background field A_mu and the corresponding functional for A_mu = 0. An analogous relation holds for the generating functional of the complete Green functions which, after restriction to physical Green functions, is used to confirm a result obtained by Rouet in the case of linear background gauge.
| 14.114811
| 15.199516
| 14.996625
| 13.617685
| 14.303494
| 16.164791
| 15.11493
| 14.732084
| 13.845585
| 19.192549
| 13.629678
| 13.058446
| 13.566685
| 12.747186
| 13.145897
| 13.086312
| 12.971819
| 13.485577
| 12.627506
| 14.295991
| 12.639699
|
0712.3529
|
Vladimir Nesterenko
|
V.V. Nesterenko
|
Surface modes and photonic modes in Casimir calculations for a compact
cylinder
|
8 pages, no tables and figures, RevTex4
|
J.Phys.A41:164005,2008
|
10.1088/1751-8113/41/16/164005
| null |
hep-th
| null |
A rigorous formulation of the problem of calculating the electromagnetic
vacuum energy of an infinite dielectric cylinder is discussed. It is shown that
the physically relevant spectrum of electromagnetic excitations includes the
surface modes and photonic modes. The mathematical procedure of summing over
this spectrum is proposed, and the transition to imaginary frequencies is
accomplished. As a result, it is justified the imaginary-frequency
representation for the vacuum energy which has been used in previous Casimir
studies for this configuration.
|
[
{
"created": "Thu, 20 Dec 2007 19:00:21 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Nesterenko",
"V. V.",
""
]
] |
A rigorous formulation of the problem of calculating the electromagnetic vacuum energy of an infinite dielectric cylinder is discussed. It is shown that the physically relevant spectrum of electromagnetic excitations includes the surface modes and photonic modes. The mathematical procedure of summing over this spectrum is proposed, and the transition to imaginary frequencies is accomplished. As a result, it is justified the imaginary-frequency representation for the vacuum energy which has been used in previous Casimir studies for this configuration.
| 14.900937
| 14.473403
| 14.286614
| 13.135464
| 15.426581
| 14.16518
| 14.153773
| 13.428985
| 12.604424
| 14.833229
| 14.172029
| 13.620907
| 13.843559
| 13.579604
| 13.556571
| 13.843222
| 13.401805
| 13.213168
| 13.353315
| 13.617881
| 13.832364
|
2301.10668
|
Dmitri Sorokin
|
Igor A. Bandos and Dmitri P. Sorokin
|
Superembedding approach to superstrings and super-p-branes
|
61 page; v2: typos corrected, references added. Chapter for the
Section "String Theories" (Eds. C. Angelantonj and I. Antoniadis) of the
"Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro,
Springer Singapore, expected in 2023)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review a geometrical, so called superembedding, approach to the
description of the dynamics of point-like and extended supersymmetric objects
(superbranes) in String Theory. The approach is based on a supersymmetric
extension of the classical surface theory to the description of superbrane
dynamics by means of embedding worldvolume supersurfaces into target
superspaces. Lorentz harmonics, twistors and pure spinors are its intrinsic
ingredients. Main new results obtained with this approach include the following
ones. Being manifestly doubly supersymmetric (on the worldvolume and in target
superspace) the superembedding approach explained that the local fermionic
kappa-symmetry of the Green-Schwarz-like superbrane actions originates from the
conventional local supersymmetry of the worldvolume. It established or
clarified a classical relationship between various formulations of the dynamics
of superparticles and superstrings, such as the Neveu-Schwarz-Ramond and the
Green-Schwarz formulation. The full set of the equations of motion of the
M-theory five-brane was first derived with the use of this approach.
|
[
{
"created": "Wed, 25 Jan 2023 16:16:05 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Mar 2024 17:39:33 GMT",
"version": "v2"
}
] |
2024-03-12
|
[
[
"Bandos",
"Igor A.",
""
],
[
"Sorokin",
"Dmitri P.",
""
]
] |
We review a geometrical, so called superembedding, approach to the description of the dynamics of point-like and extended supersymmetric objects (superbranes) in String Theory. The approach is based on a supersymmetric extension of the classical surface theory to the description of superbrane dynamics by means of embedding worldvolume supersurfaces into target superspaces. Lorentz harmonics, twistors and pure spinors are its intrinsic ingredients. Main new results obtained with this approach include the following ones. Being manifestly doubly supersymmetric (on the worldvolume and in target superspace) the superembedding approach explained that the local fermionic kappa-symmetry of the Green-Schwarz-like superbrane actions originates from the conventional local supersymmetry of the worldvolume. It established or clarified a classical relationship between various formulations of the dynamics of superparticles and superstrings, such as the Neveu-Schwarz-Ramond and the Green-Schwarz formulation. The full set of the equations of motion of the M-theory five-brane was first derived with the use of this approach.
| 8.098463
| 7.910487
| 8.737573
| 7.402863
| 7.725958
| 8.055985
| 7.952764
| 7.552613
| 7.499528
| 9.361106
| 7.529926
| 7.561439
| 8.195631
| 7.708588
| 7.7638
| 7.609749
| 7.856776
| 7.692838
| 7.64038
| 8.019242
| 7.618524
|
hep-th/9501141
|
Rupak Chatterjee
|
Rupak Chatterjee
|
Dynamical Symmetries and Nambu Mechanics
|
9 pages, Latex, Section four on the SO(4)-Kepler problem has been
expanded
|
Lett. Math. Phys. 36 (1996) 117
|
10.1007/BF00714375
|
hep-th/9501141
|
hep-th
| null |
It is shown that several Hamiltonian systems possessing dynamical or hidden
symmetries can be realized within the framework of Nambu's generalized
mechanics. Among such systems are the SU(n)-isotropic harmonic oscillator and
the SO(4)-Kepler problem. As required by the formulation of Nambu dynamics, the
integrals of motion for these systems necessarily become the so-called
generalized Hamiltonians. Furthermore, in most of these problems, the
definition of these generalized Hamiltonians is not unique.
|
[
{
"created": "Tue, 31 Jan 1995 19:16:40 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Feb 1995 16:49:46 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Chatterjee",
"Rupak",
""
]
] |
It is shown that several Hamiltonian systems possessing dynamical or hidden symmetries can be realized within the framework of Nambu's generalized mechanics. Among such systems are the SU(n)-isotropic harmonic oscillator and the SO(4)-Kepler problem. As required by the formulation of Nambu dynamics, the integrals of motion for these systems necessarily become the so-called generalized Hamiltonians. Furthermore, in most of these problems, the definition of these generalized Hamiltonians is not unique.
| 10.402027
| 10.1652
| 10.271574
| 9.001434
| 10.43039
| 9.695247
| 9.781133
| 9.73927
| 9.823558
| 11.113933
| 9.582948
| 9.072707
| 9.671502
| 9.187651
| 9.119112
| 9.080358
| 8.957785
| 9.253784
| 9.189688
| 9.677206
| 9.197432
|
hep-th/9509031
|
Leonardo Castellani
|
Leonardo Castellani and Alberto Perotto
|
Free Differential Algebras: Their Use in Field Theory and Dual
Formulation
|
10 pages, latex, no figures. Talk presented at the 4-th Colloquium on
"Quantum Groups and Integrable Sysytems", Prague, June 1995
|
Lett.Math.Phys.38:321-330,1996
|
10.1007/BF00398356
|
DFTT-52/95
|
hep-th
| null |
The gauging of free differential algebras (FDA's) produces gauge field
theories containing antisymmetric tensors. The FDA's extend the Cartan-Maurer
equations of ordinary Lie algebras by incorporating p-form potentials ($p >
1$). We study here the algebra of FDA transformations. To every p-form in the
FDA we associate an extended Lie derivative $\ell$ generating a corresponding
``gauge" transformation. The field theory based on the FDA is invariant under
these new transformations. This gives geometrical meaning to the antisymmetric
tensors. The algebra of Lie derivatives is shown to close and provides the dual
formulation of FDA's.
|
[
{
"created": "Thu, 7 Sep 1995 10:45:19 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Castellani",
"Leonardo",
""
],
[
"Perotto",
"Alberto",
""
]
] |
The gauging of free differential algebras (FDA's) produces gauge field theories containing antisymmetric tensors. The FDA's extend the Cartan-Maurer equations of ordinary Lie algebras by incorporating p-form potentials ($p > 1$). We study here the algebra of FDA transformations. To every p-form in the FDA we associate an extended Lie derivative $\ell$ generating a corresponding ``gauge" transformation. The field theory based on the FDA is invariant under these new transformations. This gives geometrical meaning to the antisymmetric tensors. The algebra of Lie derivatives is shown to close and provides the dual formulation of FDA's.
| 11.924494
| 10.513803
| 12.562489
| 9.808372
| 11.073722
| 11.143711
| 9.813812
| 9.959436
| 9.452671
| 12.541103
| 9.740988
| 10.66815
| 11.050423
| 10.151984
| 10.95459
| 10.090929
| 10.68198
| 10.858011
| 10.175265
| 11.608194
| 10.192291
|
1201.2314
|
Renato Nobili
|
Renato Nobili
|
The Conformal Universe I: Physical and Mathematical Basis of Conformal
General Relativity
|
44, 2 figs
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is the first of three papers on Conformal General Relativity (CGR),
which differs from Einstein's General Relativity (GR) in that it requires
action--integral invariance under local scale transformations in addition to
general coordinate transformations. The theory is here introduced in the
semiclassical approximation as a preliminary approach to a quantum theoretical
implementation. The idea of a conformal--invariant extension of GR was
introduced by Weyl in 1919. For several decades it had little impact, as CGR
implies that all fields are massless. Today this does not appear to be an
unsurmountable difficulty since nonzero mass parameters may result from the
spontaneous breakdown of conformal symmetry. The theory leads to very
interesting results and predictions: 1) the spontaneous breakdown of conformal
symmetry is only possible in a 4D--spacetime with small negative curvature; 2)
CGR requires the introduction of a ghost scalar field $\sigma(x)$ invested with
geometric meaning and a physical scalar field $\varphi(x)$ of zero mass, both
of which have nonzero vacuum expectation values; 3) in order to preserve
$S$--matrix unitarity, $\sigma(x)$ and $\varphi(x)$ must interact in such a way
that the total energy density is bounded from below; 4) this interaction makes
$\varphi(x)$ behave like a Higgs field of varying mass, which is capable of
promoting a huge energy transfer from geometry to matter identifiable as the
big bang; 5) in the course of time, the Higgs boson mass becomes a constant and
CGR converges to GR.
|
[
{
"created": "Wed, 11 Jan 2012 14:47:36 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Dec 2013 19:32:51 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Dec 2014 09:52:54 GMT",
"version": "v3"
},
{
"created": "Thu, 24 Mar 2016 01:45:32 GMT",
"version": "v4"
},
{
"created": "Sun, 14 Aug 2016 07:53:26 GMT",
"version": "v5"
}
] |
2016-08-16
|
[
[
"Nobili",
"Renato",
""
]
] |
This is the first of three papers on Conformal General Relativity (CGR), which differs from Einstein's General Relativity (GR) in that it requires action--integral invariance under local scale transformations in addition to general coordinate transformations. The theory is here introduced in the semiclassical approximation as a preliminary approach to a quantum theoretical implementation. The idea of a conformal--invariant extension of GR was introduced by Weyl in 1919. For several decades it had little impact, as CGR implies that all fields are massless. Today this does not appear to be an unsurmountable difficulty since nonzero mass parameters may result from the spontaneous breakdown of conformal symmetry. The theory leads to very interesting results and predictions: 1) the spontaneous breakdown of conformal symmetry is only possible in a 4D--spacetime with small negative curvature; 2) CGR requires the introduction of a ghost scalar field $\sigma(x)$ invested with geometric meaning and a physical scalar field $\varphi(x)$ of zero mass, both of which have nonzero vacuum expectation values; 3) in order to preserve $S$--matrix unitarity, $\sigma(x)$ and $\varphi(x)$ must interact in such a way that the total energy density is bounded from below; 4) this interaction makes $\varphi(x)$ behave like a Higgs field of varying mass, which is capable of promoting a huge energy transfer from geometry to matter identifiable as the big bang; 5) in the course of time, the Higgs boson mass becomes a constant and CGR converges to GR.
| 8.463566
| 9.265285
| 8.735826
| 8.602535
| 9.143591
| 9.218549
| 9.369814
| 8.660742
| 8.387747
| 9.332484
| 8.376597
| 8.359352
| 8.245356
| 8.269603
| 8.279516
| 8.320902
| 8.348254
| 8.301914
| 8.397634
| 8.447853
| 8.274817
|
2001.11745
|
Clay James Grewcoe
|
Clay James Grewcoe, Larisa Jonke
|
Courant sigma model and $L_\infty$-algebras
|
34 pages. v2: typos corrected, published version
|
Fortsch.Phys. 68 (2020) 6, 2000021
|
10.1002/prop.202000021
|
RBI-ThPhys-2020-04
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Courant sigma model is a 3-dimensional topological sigma model of AKSZ
type which has been used for the systematic description of closed strings in
non-geometric flux backgrounds. In particular, the expression for the fluxes
and their Bianchi identities coincide with the local form of the axioms of a
Courant algebroid. On the other hand, the axioms of a Courant algebroid also
coincide with the conditions for gauge invariance of the Courant sigma model.
In this paper we embed this interplay between background fluxes of closed
strings, gauge (or more precisely BRST) symmetries of the Courant sigma model
and axioms of a Courant algebroid into an $L_\infty$-algebra structure. We show
how the complete BV-BRST formulation of the Courant sigma model is described in
terms of $L_\infty$-algebras. Moreover, the morphism between the
$L_\infty$-algebra for a Courant algebroid and the one for the corresponding
sigma model is constructed.
|
[
{
"created": "Fri, 31 Jan 2020 10:14:01 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Apr 2020 16:12:05 GMT",
"version": "v2"
}
] |
2020-08-28
|
[
[
"Grewcoe",
"Clay James",
""
],
[
"Jonke",
"Larisa",
""
]
] |
The Courant sigma model is a 3-dimensional topological sigma model of AKSZ type which has been used for the systematic description of closed strings in non-geometric flux backgrounds. In particular, the expression for the fluxes and their Bianchi identities coincide with the local form of the axioms of a Courant algebroid. On the other hand, the axioms of a Courant algebroid also coincide with the conditions for gauge invariance of the Courant sigma model. In this paper we embed this interplay between background fluxes of closed strings, gauge (or more precisely BRST) symmetries of the Courant sigma model and axioms of a Courant algebroid into an $L_\infty$-algebra structure. We show how the complete BV-BRST formulation of the Courant sigma model is described in terms of $L_\infty$-algebras. Moreover, the morphism between the $L_\infty$-algebra for a Courant algebroid and the one for the corresponding sigma model is constructed.
| 5.074041
| 4.446262
| 5.68766
| 4.562857
| 4.910557
| 5.135875
| 4.57857
| 4.598125
| 4.697762
| 6.171383
| 4.539159
| 4.405318
| 5.130466
| 4.640606
| 4.440504
| 4.544253
| 4.505379
| 4.604993
| 4.512301
| 5.237631
| 4.504019
|
1512.04071
|
Roberto Casadio
|
R. Casadio, A. Giugno and O. Micu
|
Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
|
45 pages, 26 figures. Review paper to appear in IJMPD
| null |
10.1142/S0218271816300068
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is congruous with the quantum nature of the world to view the space-time
geometry as an emergent structure that shows classical features only at some
observational level. One can thus conceive the space-time manifold as a purely
theoretical arena, where quantum states are defined, with the additional
freedom of changing coordinates like any other symmetry. Observables, including
positions and distances, should then be described by suitable operators acting
on such quantum states. In principle, the top-down (canonical) quantisation of
Einstein-Hilbert gravity falls right into this picture, but is notoriously very
involved. The complication stems from allowing all the classical canonical
variables that appear in the (presumably) fundamental action to become quantum
observables acting on the "superspace" of all metrics, regardless of whether
they play any role in the description of a specific physical system. On can
instead revisit the more humble "minisuperspace" approach and choose the
gravitational observables not simply by imposing some symmetry, but motivated
by their proven relevance in the (classical) description of a given system. In
particular, this review focuses on compact, spherically symmetric, quantum
mechanical sources, in order to determine the probability they are black holes
rather than regular particles. The gravitational radius is therefore lifted to
the status of a quantum mechanical operator acting on the "horizon
wave-function", the latter being determined by the quantum state of the source.
This formalism is then applied to several sources with a mass around the
fundamental scale, which are viewed as natural candidates of quantum black
holes.
|
[
{
"created": "Sun, 13 Dec 2015 15:57:09 GMT",
"version": "v1"
}
] |
2016-03-16
|
[
[
"Casadio",
"R.",
""
],
[
"Giugno",
"A.",
""
],
[
"Micu",
"O.",
""
]
] |
It is congruous with the quantum nature of the world to view the space-time geometry as an emergent structure that shows classical features only at some observational level. One can thus conceive the space-time manifold as a purely theoretical arena, where quantum states are defined, with the additional freedom of changing coordinates like any other symmetry. Observables, including positions and distances, should then be described by suitable operators acting on such quantum states. In principle, the top-down (canonical) quantisation of Einstein-Hilbert gravity falls right into this picture, but is notoriously very involved. The complication stems from allowing all the classical canonical variables that appear in the (presumably) fundamental action to become quantum observables acting on the "superspace" of all metrics, regardless of whether they play any role in the description of a specific physical system. On can instead revisit the more humble "minisuperspace" approach and choose the gravitational observables not simply by imposing some symmetry, but motivated by their proven relevance in the (classical) description of a given system. In particular, this review focuses on compact, spherically symmetric, quantum mechanical sources, in order to determine the probability they are black holes rather than regular particles. The gravitational radius is therefore lifted to the status of a quantum mechanical operator acting on the "horizon wave-function", the latter being determined by the quantum state of the source. This formalism is then applied to several sources with a mass around the fundamental scale, which are viewed as natural candidates of quantum black holes.
| 15.028743
| 17.398935
| 15.217698
| 15.16043
| 15.443885
| 16.944902
| 16.610754
| 14.995313
| 15.071296
| 16.023016
| 15.195778
| 14.668783
| 14.778433
| 14.600601
| 14.967881
| 15.063105
| 15.03037
| 14.603296
| 14.83238
| 15.061693
| 14.36561
|
1501.05562
|
Carlos Mafra
|
Carlos R. Mafra, Oliver Schlotterer
|
A solution to the non-linear equations of D=10 super Yang-Mills theory
|
6 pages, v2: published version
|
Phys. Rev. D 92, 066001 (2015)
|
10.1103/PhysRevD.92.066001
|
AEI-2015-005, DAMTP-2015-5
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter, we present a formal solution to the non-linear field
equations of ten-dimensional super Yang--Mills theory. It is assembled from
products of linearized superfields which have been introduced as multiparticle
superfields in the context of superstring perturbation theory. Their explicit
form follows recursively from the conformal field theory description of the
gluon multiplet in the pure spinor superstring. Furthermore, superfields of
higher mass dimensions are defined and their equations of motion spelled out.
|
[
{
"created": "Thu, 22 Jan 2015 16:31:52 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Sep 2015 20:15:32 GMT",
"version": "v2"
}
] |
2015-09-22
|
[
[
"Mafra",
"Carlos R.",
""
],
[
"Schlotterer",
"Oliver",
""
]
] |
In this letter, we present a formal solution to the non-linear field equations of ten-dimensional super Yang--Mills theory. It is assembled from products of linearized superfields which have been introduced as multiparticle superfields in the context of superstring perturbation theory. Their explicit form follows recursively from the conformal field theory description of the gluon multiplet in the pure spinor superstring. Furthermore, superfields of higher mass dimensions are defined and their equations of motion spelled out.
| 12.184588
| 10.807058
| 13.989572
| 10.350864
| 9.83634
| 10.622313
| 10.790293
| 10.68829
| 10.739135
| 15.066821
| 10.938951
| 10.495431
| 11.129994
| 10.408743
| 10.394315
| 10.551044
| 10.366025
| 10.117699
| 10.622348
| 11.713265
| 10.779346
|
hep-th/9912223
|
Israel Klich
|
Israel Klich and August Romeo
|
Regularized Casimir energy for an infinite dielectric cylinder subject
to light-velocity conservation
| null |
Phys.Lett. B476 (2000) 369-378
|
10.1016/S0370-2693(00)00118-0
| null |
hep-th cond-mat.stat-mech quant-ph
| null |
The Casimir energy of a dilute dielectric cylinder, with the same
light-velocity as in its surrounding medium, is evaluated exactly to first
order in $\xi^2$ and numerically to higher orders in $\xi^2$. The first part is
carried out using addition formulas for Bessel functions, and no Debye
expansions are required.
|
[
{
"created": "Wed, 22 Dec 1999 14:58:40 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Klich",
"Israel",
""
],
[
"Romeo",
"August",
""
]
] |
The Casimir energy of a dilute dielectric cylinder, with the same light-velocity as in its surrounding medium, is evaluated exactly to first order in $\xi^2$ and numerically to higher orders in $\xi^2$. The first part is carried out using addition formulas for Bessel functions, and no Debye expansions are required.
| 12.648767
| 12.166503
| 15.133298
| 10.921484
| 10.389166
| 12.142878
| 12.05501
| 10.425374
| 9.836351
| 15.498055
| 11.266141
| 10.951558
| 12.607388
| 11.163208
| 10.320092
| 10.778174
| 10.556441
| 10.279402
| 10.635911
| 12.182547
| 10.473204
|
1309.4925
|
Takashi Miura
|
Tomo-hiro Abe, Yukihiro Fujimoto, Tatsuo Kobayashi, Takashi Miura,
Kenji Nishiwaki, Makoto Sakamoto
|
$Z_N$ twisted orbifold models with magnetic flux
|
34 pages, 4 figures
|
JHEP01(2014)065
|
10.1007/JHEP01(2014)065
|
KOBE-TH-13-07, KUNS-2463, HRI-P-13-09-001, RECAPP-HRI-2013-019
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose new backgrounds of extra dimensions to lead to four-dimensional
chiral models with three generations of matter fermions, that is $T^2/Z_N$
twisted orbifolds with magnetic fluxes. We consider gauge theory on
six-dimensional space-time, which contains the $T^2/Z_N$ orbifold with magnetic
flux, Scherk-Schwarz phases and Wilson line phases. We classify all the
possible Scherk-Schwarz and Wilson line phases on $T^2/Z_N$ orbifolds with
magnetic fluxes. The behavior of zero modes is studied. We derive the number of
zero modes for each eigenvalue of the $Z_N$ twist, showing explicitly examples
of wave functions. We also investigate Kaluza-Klein mode functions and mass
spectra.
|
[
{
"created": "Thu, 19 Sep 2013 10:49:54 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jan 2014 06:19:16 GMT",
"version": "v2"
}
] |
2014-01-27
|
[
[
"Abe",
"Tomo-hiro",
""
],
[
"Fujimoto",
"Yukihiro",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Miura",
"Takashi",
""
],
[
"Nishiwaki",
"Kenji",
""
],
[
"Sakamoto",
"Makoto",
""
]
] |
We propose new backgrounds of extra dimensions to lead to four-dimensional chiral models with three generations of matter fermions, that is $T^2/Z_N$ twisted orbifolds with magnetic fluxes. We consider gauge theory on six-dimensional space-time, which contains the $T^2/Z_N$ orbifold with magnetic flux, Scherk-Schwarz phases and Wilson line phases. We classify all the possible Scherk-Schwarz and Wilson line phases on $T^2/Z_N$ orbifolds with magnetic fluxes. The behavior of zero modes is studied. We derive the number of zero modes for each eigenvalue of the $Z_N$ twist, showing explicitly examples of wave functions. We also investigate Kaluza-Klein mode functions and mass spectra.
| 7.90721
| 7.412704
| 7.669051
| 7.23397
| 7.406341
| 7.4855
| 7.031208
| 7.084411
| 7.123936
| 7.983856
| 7.510003
| 7.417976
| 7.884697
| 7.209123
| 7.250566
| 7.129665
| 7.245365
| 7.405227
| 7.324851
| 7.650584
| 7.278214
|
hep-th/9904141
|
Jens Schnittger
|
J. Rasmussen, J. Schnittger
|
Negative Screenings in Conformal Field Theory and 2D Gravity: The
Braiding Matrix
|
31 pages, LaTeX, 1 figure
|
Nucl.Phys. B574 (2000) 525-550
|
10.1016/S0550-3213(99)00799-3
|
TIFR/TH/99-18
|
hep-th
| null |
We consider an extension of the Coulomb gas picture which is motivated by
Liouville theory and contains negative powers of screening operators on the
same footing as positive ones. The braiding problem for chiral vertex operators
in this extended framework is analyzed. We propose explicit expressions for the
R-matrix with general integer screening numbers, which are given in terms of
4F3 q-hypergeometric functions through natural analytic continuations of the
well-known expression for positive integer screenings. These proposals are
subsequently verified using a subset of the Moore-Seiberg equations that is
obtained by simple manipulations in the operator approach. Interesting new
relations for q-hypergeometric functions (particularly of type 4F3) arise on
the way.
|
[
{
"created": "Tue, 20 Apr 1999 20:56:26 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Rasmussen",
"J.",
""
],
[
"Schnittger",
"J.",
""
]
] |
We consider an extension of the Coulomb gas picture which is motivated by Liouville theory and contains negative powers of screening operators on the same footing as positive ones. The braiding problem for chiral vertex operators in this extended framework is analyzed. We propose explicit expressions for the R-matrix with general integer screening numbers, which are given in terms of 4F3 q-hypergeometric functions through natural analytic continuations of the well-known expression for positive integer screenings. These proposals are subsequently verified using a subset of the Moore-Seiberg equations that is obtained by simple manipulations in the operator approach. Interesting new relations for q-hypergeometric functions (particularly of type 4F3) arise on the way.
| 12.343016
| 13.617575
| 15.586027
| 12.112207
| 13.035729
| 13.358215
| 13.102313
| 12.976941
| 12.450258
| 14.929791
| 11.580404
| 11.875736
| 13.413949
| 11.73365
| 11.786528
| 11.995257
| 12.341002
| 12.001964
| 11.903454
| 12.982491
| 11.908893
|
2201.03404
|
Stuart Dowker
|
J.S.Dowker
|
Renyi entropy for monodromy defects of higher derivative free fields on
even-dimensional spheres
|
12 pages. 1 fig. Minor errors corrected. Comparison section rewritten
and extended. Acknowledgement and reference added
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Explicit polynomial forms for R\'enyi and entanglement entropies are given on
even --dimensional spheres which possess a codimension--2 U(1) monodromy
defect. Free scalar and Dirac fields are treated and higher-derivative
propagation operators employed. The central charge, $C_T$, is also calculated.
Comparison with existing results is made and it is shown how these can be
obtained from the values here.
|
[
{
"created": "Mon, 10 Jan 2022 15:36:51 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jan 2022 15:49:27 GMT",
"version": "v2"
}
] |
2022-01-21
|
[
[
"Dowker",
"J. S.",
""
]
] |
Explicit polynomial forms for R\'enyi and entanglement entropies are given on even --dimensional spheres which possess a codimension--2 U(1) monodromy defect. Free scalar and Dirac fields are treated and higher-derivative propagation operators employed. The central charge, $C_T$, is also calculated. Comparison with existing results is made and it is shown how these can be obtained from the values here.
| 21.812336
| 15.276604
| 21.161787
| 14.815327
| 16.323603
| 15.613025
| 15.493578
| 13.534807
| 14.212484
| 23.566957
| 14.444023
| 16.531775
| 18.558928
| 16.623253
| 18.095671
| 16.900162
| 16.528105
| 17.220919
| 17.541372
| 17.969532
| 16.530556
|
1908.10470
|
Mary K. Gaillard
|
Mary K. Gaillard and Jacob Leedom
|
Anomaly cancellation in effective supergravity from the heterotic string
with an anomalous U(1)
|
37 pages. arXiv admin note: text overlap with arXiv:1711.01023
| null |
10.1016/j.nuclphysb.2019.114785
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a choice of Pauli-Villars regulators allows the cancellation of
all conformal and chiral anomalies in an effective field theory from Z_3
compactification of the heterotic string with two Wilson lines and an anomalous
U(1).
|
[
{
"created": "Tue, 27 Aug 2019 21:22:06 GMT",
"version": "v1"
}
] |
2019-10-09
|
[
[
"Gaillard",
"Mary K.",
""
],
[
"Leedom",
"Jacob",
""
]
] |
We show that a choice of Pauli-Villars regulators allows the cancellation of all conformal and chiral anomalies in an effective field theory from Z_3 compactification of the heterotic string with two Wilson lines and an anomalous U(1).
| 11.376709
| 8.702269
| 8.782926
| 7.431612
| 7.462029
| 8.096313
| 8.775061
| 8.036997
| 7.641471
| 9.331556
| 8.343807
| 8.599779
| 8.374798
| 8.779633
| 8.578739
| 8.730456
| 8.506218
| 9.09736
| 8.744941
| 8.949534
| 8.832827
|
2302.06603
|
Jordan Cotler
|
Jordan Cotler, Kristan Jensen
|
Isometric evolution in de Sitter quantum gravity
|
12+8 pages, 4 figures; v2: typos fixed
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study time evolution in two simple models of de Sitter quantum gravity,
Jackiw-Teitelboim gravity and a minisuperspace approximation to Einstein
gravity with a positive cosmological constant. In the former we find that time
evolution is isometric rather than unitary, and find suggestions that this is
true in Einstein gravity as well. The states that are projected out under time
evolution are initial conditions that crunch. Along the way we establish a
matrix model dual for Jackiw-Teitelboim gravity where the dilaton varies on the
boundary.
|
[
{
"created": "Mon, 13 Feb 2023 18:59:01 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2023 22:36:43 GMT",
"version": "v2"
}
] |
2023-02-20
|
[
[
"Cotler",
"Jordan",
""
],
[
"Jensen",
"Kristan",
""
]
] |
We study time evolution in two simple models of de Sitter quantum gravity, Jackiw-Teitelboim gravity and a minisuperspace approximation to Einstein gravity with a positive cosmological constant. In the former we find that time evolution is isometric rather than unitary, and find suggestions that this is true in Einstein gravity as well. The states that are projected out under time evolution are initial conditions that crunch. Along the way we establish a matrix model dual for Jackiw-Teitelboim gravity where the dilaton varies on the boundary.
| 10.129591
| 8.821012
| 10.322486
| 8.859249
| 9.609373
| 8.732518
| 8.899521
| 9.106445
| 8.540755
| 10.693867
| 8.874825
| 9.282253
| 9.543587
| 9.396879
| 9.394258
| 9.218096
| 9.136136
| 9.356014
| 9.122428
| 9.968427
| 9.259875
|
2405.00776
|
Alessandro Tomasiello
|
Alessandro Tomasiello
|
Higher spins and Finsler geometry
|
36 pages
| null | null | null |
hep-th gr-qc math-ph math.DG math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
Finsler geometry is a natural generalization of (pseudo-)Riemannian geometry,
where the line element is not the square root of a quadratic form but a more
general homogeneous function. Parameterizing this in terms of symmetric tensors
suggests a possible interpretation in terms of higher-spin fields. We will see
here that, at linear level in these fields, the Finsler version of the Ricci
tensor leads to the curved-space Fronsdal equation for all spins, plus a
Stueckelberg-like coupling. Nonlinear terms can also be systematically
analyzed, suggesting a possible interacting structure. No particular choice of
spacetime dimension is needed. The Stueckelberg mechanism breaks gauge
transformations to a redundancy that does not change the geometry. This is
however not enough to eliminate non-transverse modes, at least for some
versions of Finsler dynamics.
|
[
{
"created": "Wed, 1 May 2024 18:00:04 GMT",
"version": "v1"
}
] |
2024-05-03
|
[
[
"Tomasiello",
"Alessandro",
""
]
] |
Finsler geometry is a natural generalization of (pseudo-)Riemannian geometry, where the line element is not the square root of a quadratic form but a more general homogeneous function. Parameterizing this in terms of symmetric tensors suggests a possible interpretation in terms of higher-spin fields. We will see here that, at linear level in these fields, the Finsler version of the Ricci tensor leads to the curved-space Fronsdal equation for all spins, plus a Stueckelberg-like coupling. Nonlinear terms can also be systematically analyzed, suggesting a possible interacting structure. No particular choice of spacetime dimension is needed. The Stueckelberg mechanism breaks gauge transformations to a redundancy that does not change the geometry. This is however not enough to eliminate non-transverse modes, at least for some versions of Finsler dynamics.
| 11.880211
| 11.800434
| 12.828547
| 10.890398
| 12.652251
| 12.192745
| 11.254988
| 11.846496
| 11.225301
| 13.412273
| 11.192576
| 11.002624
| 10.095595
| 10.368341
| 10.759848
| 10.865467
| 11.177019
| 10.695813
| 10.500423
| 10.627031
| 10.90426
|
hep-th/9808023
|
Peter Bantay
|
Peter Bantay
|
Orbifoldization, covering surfaces and uniformization theory
|
6 pages
|
Lett.Math.Phys. 57 (2001) 1-5
| null |
ITP Budapest 542
|
hep-th
| null |
The connection between the theory of permutation orbifolds, covering surfaces
and uniformization is investigated, and the higher genus partition functions of
an arbitrary permutation orbifold are expressed in terms of those of the
original theory.
|
[
{
"created": "Wed, 5 Aug 1998 14:12:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bantay",
"Peter",
""
]
] |
The connection between the theory of permutation orbifolds, covering surfaces and uniformization is investigated, and the higher genus partition functions of an arbitrary permutation orbifold are expressed in terms of those of the original theory.
| 15.31159
| 11.321345
| 15.413074
| 10.209823
| 11.313776
| 10.822598
| 10.404565
| 10.428774
| 10.851761
| 17.672537
| 12.608566
| 11.02374
| 14.964384
| 12.005342
| 11.987636
| 12.046617
| 11.145956
| 11.786207
| 12.458033
| 13.318703
| 11.756598
|
hep-th/0512243
|
Jan Pieter van der Schaar
|
Brian Greene, Maulik Parikh and Jan Pieter van der Schaar
|
Universal Correction to the Inflationary Vacuum
|
23 pages, 3 eps figures, uses JHEP.cls, small corrections and added
references
|
JHEP0604:057,2006
|
10.1088/1126-6708/2006/04/057
|
CU-TP-1136
|
hep-th
| null |
The Bunch-Davies state appears precisely thermal to a free-falling observer
in de Sitter space. However, precise thermality is unphysical because it
violates energy conservation. Instead, the true spectrum must take a certain
different form, with the Boltzmann factor $\exp(-\beta \omega_k)$ replaced by
$\exp(\Delta S)$, where $S$ is the entropy of the de Sitter horizon. The
deviation from precise thermality can be regarded as an explicitly calculable
correction to the Bunch-Davies state. This correction is mandatory in that it
relies only on energy conservation. The modified Bunch-Davies state leads, in
turn, to an ${\cal O} (H/M_p)^2$ modification of the primordial power spectrum
of inflationary perturbations, which we determine.
|
[
{
"created": "Tue, 20 Dec 2005 20:05:19 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Feb 2006 16:37:37 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Greene",
"Brian",
""
],
[
"Parikh",
"Maulik",
""
],
[
"van der Schaar",
"Jan Pieter",
""
]
] |
The Bunch-Davies state appears precisely thermal to a free-falling observer in de Sitter space. However, precise thermality is unphysical because it violates energy conservation. Instead, the true spectrum must take a certain different form, with the Boltzmann factor $\exp(-\beta \omega_k)$ replaced by $\exp(\Delta S)$, where $S$ is the entropy of the de Sitter horizon. The deviation from precise thermality can be regarded as an explicitly calculable correction to the Bunch-Davies state. This correction is mandatory in that it relies only on energy conservation. The modified Bunch-Davies state leads, in turn, to an ${\cal O} (H/M_p)^2$ modification of the primordial power spectrum of inflationary perturbations, which we determine.
| 7.573473
| 7.091179
| 8.606222
| 6.781219
| 7.415161
| 7.379712
| 7.584579
| 7.041675
| 8.079186
| 8.027986
| 7.668542
| 6.828811
| 7.049112
| 6.957914
| 7.022326
| 7.333951
| 7.204225
| 7.044833
| 7.113122
| 7.114439
| 7.062866
|
hep-th/9811156
|
Joseph A. Minahan
|
Joseph A. Minahan (Caltech)
|
Glueball Mass Spectra and Other Issues for Supergravity Duals of QCD
Models
|
19 pages, harvmac(b); v2: minor corrections, reference added
|
JHEP 9901:020,1999
|
10.1088/1126-6708/1999/01/020
|
CALT-68-2203
|
hep-th
| null |
We derive WKB expressions for glueball masses of various finite temperature
supergravity models. The results are very close to recent numerical
computations. We argue that the spectra has some universality that depends only
on the dimension of the AdS space and the singularity structure of the horizon.
This explains the stability of the $0^{++}$ glueball mass ratios between
various models. We also consider the recently proposed nonsupersymmetric model
arising from the type 0 string. In the supergravity limit of this model, the
heavy quark potential has an effective coupling with 1/(log u) behavior in the
UV. Unfortunately, the supergravity solution implies that the heavy quark
potential is still coulombic in the infrared, with an effective coupling of
order 1. We also argue that the type 0 supergravity background solution does
not have normalizable glueball solutions.
|
[
{
"created": "Mon, 16 Nov 1998 23:43:44 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 1998 19:47:34 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Minahan",
"Joseph A.",
"",
"Caltech"
]
] |
We derive WKB expressions for glueball masses of various finite temperature supergravity models. The results are very close to recent numerical computations. We argue that the spectra has some universality that depends only on the dimension of the AdS space and the singularity structure of the horizon. This explains the stability of the $0^{++}$ glueball mass ratios between various models. We also consider the recently proposed nonsupersymmetric model arising from the type 0 string. In the supergravity limit of this model, the heavy quark potential has an effective coupling with 1/(log u) behavior in the UV. Unfortunately, the supergravity solution implies that the heavy quark potential is still coulombic in the infrared, with an effective coupling of order 1. We also argue that the type 0 supergravity background solution does not have normalizable glueball solutions.
| 10.743298
| 11.609423
| 10.864285
| 10.163458
| 11.424095
| 11.043206
| 11.557268
| 11.160635
| 10.590939
| 11.583975
| 10.21523
| 10.493156
| 10.205563
| 10.201099
| 10.38581
| 10.527673
| 10.728724
| 10.553366
| 10.429306
| 10.448869
| 10.266864
|
1304.7978
|
Rafael I. Nepomechie
|
Rafael I. Nepomechie and Chunguang Wang
|
Algebraic Bethe ansatz for singular solutions
|
10 pages; v2: refs added; v3: new section on general singular
solutions, and more references
| null | null |
UMTG-275
|
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Bethe equations for the isotropic periodic spin-1/2 Heisenberg chain with
N sites have solutions containing i/2, -i/2 that are singular: both the
corresponding energy and the algebraic Bethe ansatz vector are divergent. Such
solutions must be carefully regularized. We consider a regularization involving
a parameter that can be determined using a generalization of the Bethe
equations. These generalized Bethe equations provide a practical way of
determining which singular solutions correspond to eigenvectors of the model.
|
[
{
"created": "Tue, 30 Apr 2013 12:52:49 GMT",
"version": "v1"
},
{
"created": "Thu, 2 May 2013 19:57:42 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jul 2013 13:48:25 GMT",
"version": "v3"
}
] |
2013-07-10
|
[
[
"Nepomechie",
"Rafael I.",
""
],
[
"Wang",
"Chunguang",
""
]
] |
The Bethe equations for the isotropic periodic spin-1/2 Heisenberg chain with N sites have solutions containing i/2, -i/2 that are singular: both the corresponding energy and the algebraic Bethe ansatz vector are divergent. Such solutions must be carefully regularized. We consider a regularization involving a parameter that can be determined using a generalization of the Bethe equations. These generalized Bethe equations provide a practical way of determining which singular solutions correspond to eigenvectors of the model.
| 9.951125
| 11.024831
| 13.582932
| 9.904264
| 10.464034
| 11.362501
| 9.849331
| 9.337127
| 10.247026
| 12.39717
| 9.586499
| 9.434765
| 11.105389
| 9.493604
| 10.030204
| 9.13159
| 9.872263
| 9.702117
| 9.312105
| 11.02396
| 8.931766
|
hep-th/9701119
|
Jens Hoppe
|
J. Froehlich, J. Hoppe (ETH Zuerich)
|
On Zero-Mass Ground States in Super-Membrane Matrix Models
|
16 pp., LaTex
| null |
10.1007/s002200050280
|
ETH-TH/96-53
|
hep-th
| null |
We recall a formulation of super-membrane theory in terms of certain matrix
models. These models are known to have a mass spectrum given by the positive
half-axis. We show that, for the simplest such matrix model, a normalizable
zero-mass ground state does not exist.
|
[
{
"created": "Thu, 23 Jan 1997 16:15:03 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Froehlich",
"J.",
"",
"ETH Zuerich"
],
[
"Hoppe",
"J.",
"",
"ETH Zuerich"
]
] |
We recall a formulation of super-membrane theory in terms of certain matrix models. These models are known to have a mass spectrum given by the positive half-axis. We show that, for the simplest such matrix model, a normalizable zero-mass ground state does not exist.
| 14.456526
| 11.836041
| 14.260193
| 11.180551
| 11.010076
| 12.248019
| 11.183758
| 9.687158
| 10.725261
| 15.441294
| 11.253116
| 12.249578
| 13.157367
| 12.067233
| 12.163685
| 12.394655
| 12.623425
| 12.170931
| 12.598928
| 14.18698
| 11.647758
|
2206.10547
|
Leonardo Pipolo De Gioia
|
Leonardo Pipolo de Gioia, Ana-Maria Raclariu
|
Eikonal Approximation in Celestial CFT
|
39 pages, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We identify an eikonal regime in celestial CFT$_2$ in which massless 2-2
scattering is dominated by t-channel exchange. We derive a formula for the
celestial amplitude that resums exchanges of arbitrary integer spin to all
orders in the coupling. The resulting eikonal phase takes the same form as in
flat space with the powers of center-of-mass energy replaced by weight-shifting
operators on the celestial sphere. We independently compute the celestial
two-point function for a scalar propagating in a shockwave background and show
that to leading order in the gravitational coupling and for a suitable choice
of the source, the result agrees with the prediction from the celestial eikonal
formula for graviton exchange. We demonstrate that this two-point function can
be directly obtained from the corresponding formula in AdS$_4$ in a flat space
limit. We finally establish a general relation between scalar celestial
amplitudes in celestial CFT$_{d-1}$ and the flat space limit of scalar
AdS$_{d+1}$ Witten diagrams.
|
[
{
"created": "Tue, 21 Jun 2022 17:26:14 GMT",
"version": "v1"
}
] |
2022-06-22
|
[
[
"de Gioia",
"Leonardo Pipolo",
""
],
[
"Raclariu",
"Ana-Maria",
""
]
] |
We identify an eikonal regime in celestial CFT$_2$ in which massless 2-2 scattering is dominated by t-channel exchange. We derive a formula for the celestial amplitude that resums exchanges of arbitrary integer spin to all orders in the coupling. The resulting eikonal phase takes the same form as in flat space with the powers of center-of-mass energy replaced by weight-shifting operators on the celestial sphere. We independently compute the celestial two-point function for a scalar propagating in a shockwave background and show that to leading order in the gravitational coupling and for a suitable choice of the source, the result agrees with the prediction from the celestial eikonal formula for graviton exchange. We demonstrate that this two-point function can be directly obtained from the corresponding formula in AdS$_4$ in a flat space limit. We finally establish a general relation between scalar celestial amplitudes in celestial CFT$_{d-1}$ and the flat space limit of scalar AdS$_{d+1}$ Witten diagrams.
| 7.896649
| 7.235169
| 8.355841
| 6.842918
| 7.441074
| 6.992251
| 7.376757
| 7.041481
| 6.784989
| 8.482285
| 6.853123
| 7.022418
| 7.287706
| 7.164944
| 7.108729
| 6.896
| 7.318136
| 7.162075
| 7.244856
| 7.449832
| 7.008245
|
hep-th/0403288
|
Keshav Dasgupta
|
Melanie Becker, Keshav Dasgupta, Anke Knauf, Radu Tatar
|
Geometric Transitions, Flops and Non-Kahler Manifolds: I
|
Harvmac, 79 pages, 1 .eps figure; v4: Text further expanded with
additional results, typos corrected and references added
|
Nucl.Phys. B702 (2004) 207-268
|
10.1016/j.nuclphysb.2004.09.020
|
SU-ITP-04/10, UCB-PTH-04/09, LBNL-54768, UMD-PP-04/035
|
hep-th
| null |
We construct a duality cycle which provides a complete supergravity
description of geometric transitions in type II theories via a flop in
M-theory. This cycle connects the different supergravity descriptions before
and after the geometric transitions. Our construction reproduces many of the
known phenomena studied earlier in the literature and allows us to describe
some new and interesting aspects in a simple and elegant fashion. A precise
supergravity description of new torsional manifolds that appear on the type IIA
side with branes and fluxes and the corresponding geometric transition are
obtained. A local description of new G_2 manifolds that are circle fibrations
over non-Kahler manifolds is presented.
|
[
{
"created": "Tue, 30 Mar 2004 21:20:45 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Apr 2004 05:22:33 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Sep 2004 19:23:04 GMT",
"version": "v3"
},
{
"created": "Fri, 2 Dec 2005 23:29:14 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Becker",
"Melanie",
""
],
[
"Dasgupta",
"Keshav",
""
],
[
"Knauf",
"Anke",
""
],
[
"Tatar",
"Radu",
""
]
] |
We construct a duality cycle which provides a complete supergravity description of geometric transitions in type II theories via a flop in M-theory. This cycle connects the different supergravity descriptions before and after the geometric transitions. Our construction reproduces many of the known phenomena studied earlier in the literature and allows us to describe some new and interesting aspects in a simple and elegant fashion. A precise supergravity description of new torsional manifolds that appear on the type IIA side with branes and fluxes and the corresponding geometric transition are obtained. A local description of new G_2 manifolds that are circle fibrations over non-Kahler manifolds is presented.
| 10.229617
| 9.674172
| 12.410359
| 9.494425
| 10.434967
| 9.933798
| 10.282699
| 10.223292
| 9.923192
| 12.95815
| 9.222484
| 9.790456
| 10.465386
| 9.836978
| 9.816405
| 10.294493
| 9.756285
| 9.972329
| 9.882509
| 10.579515
| 9.800863
|
1510.04324
|
Arkady Vainshtein
|
Jin Chen, Xiaoyi Cui, Mikhail Shifman, and Arkady Vainshtein
|
On Isometry Anomalies in Minimal N=(0,1) and N=(0,2) Sigma Models
|
28 pages, 2 figures
| null |
10.1142/S0217751X16501475
|
FTPI-MINN-14/35, UMN-TH-3406/14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The two-dimensional minimal supersymmetric sigma models with homogeneous
target spaces $G/H$ and chiral fermions of the same chirality are revisited. We
demonstrate that the Moore-Nelson consistency condition revealing a global
anomaly in CP(N-1) (with N>2 and ${\mathcal N}=(0,2)$ supersymmetry) due to a
nontrivial first Pontryagin class is in one-to-one correspondence with the
local anomalies of isometries in these models. These latter anomalies are
generated by fermion loop diagrams which we explicitly calculate. In the case
of O}(N) sigma models the first Pontryagin class vanishes, so there is no
global obstruction for the minimal ${\mathcal N}=(0,1)$ supersymmetrization of
these models. We show that at the local level isometries in these models are
anomaly free. Thus, there are no obstructions to quantizing the minimal
${\mathcal N}=(0,1)$ models with the $S^{N-1}= SO(N)/SO(N-1)$ target space.
This also includes CP(1) (equivalent to $S^{2}$) which is an exceptional case
from the CP(N-1) series. We also discuss a relation between the geometric and
gauged formulations of the CP}(N-1) models.
|
[
{
"created": "Wed, 14 Oct 2015 21:29:11 GMT",
"version": "v1"
}
] |
2016-10-12
|
[
[
"Chen",
"Jin",
""
],
[
"Cui",
"Xiaoyi",
""
],
[
"Shifman",
"Mikhail",
""
],
[
"Vainshtein",
"Arkady",
""
]
] |
The two-dimensional minimal supersymmetric sigma models with homogeneous target spaces $G/H$ and chiral fermions of the same chirality are revisited. We demonstrate that the Moore-Nelson consistency condition revealing a global anomaly in CP(N-1) (with N>2 and ${\mathcal N}=(0,2)$ supersymmetry) due to a nontrivial first Pontryagin class is in one-to-one correspondence with the local anomalies of isometries in these models. These latter anomalies are generated by fermion loop diagrams which we explicitly calculate. In the case of O}(N) sigma models the first Pontryagin class vanishes, so there is no global obstruction for the minimal ${\mathcal N}=(0,1)$ supersymmetrization of these models. We show that at the local level isometries in these models are anomaly free. Thus, there are no obstructions to quantizing the minimal ${\mathcal N}=(0,1)$ models with the $S^{N-1}= SO(N)/SO(N-1)$ target space. This also includes CP(1) (equivalent to $S^{2}$) which is an exceptional case from the CP(N-1) series. We also discuss a relation between the geometric and gauged formulations of the CP}(N-1) models.
| 7.039516
| 7.346126
| 7.522558
| 6.957278
| 7.145822
| 7.496595
| 6.952318
| 7.236108
| 6.963058
| 7.964283
| 6.798328
| 6.693949
| 7.327355
| 6.816455
| 7.0398
| 7.003712
| 6.978997
| 6.658465
| 7.078757
| 6.894055
| 6.767491
|
1205.5679
|
Harmen J. Warringa
|
Harmen J. Warringa
|
Dynamics of the Chiral Magnetic Effect in a weak magnetic field
|
13 pages, 7 figures, revtex
| null |
10.1103/PhysRevD.86.085029
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the real-time dynamics of the chiral magnetic effect in
quantum electrodynamics (QED) and quantum chromodynamics (QCD). We consider a
field configuration of parallel (chromo)electric and (chromo)magnetic fields
with a weak perpendicular electromagnetic magnetic field. The chiral magnetic
effect induces an electromagnetic current along this perpendicular magnetic
field, which we will compute using linear response theory. We discuss specific
results for a homogeneous sudden switch-on and a pulsed (chromo)electric field
in a static and homogeneous (chromo)magnetic field. Our methodology can be
easily extended to more general situations. The results are useful for
investigating the chiral magnetic effect with heavy ion collisions and with
lasers that create strong electromagnetic fields. As a side result we obtain
the rate of chirality production for massive fermions in parallel electric and
magnetic fields that are static and homogeneous.
|
[
{
"created": "Fri, 25 May 2012 12:36:22 GMT",
"version": "v1"
}
] |
2015-03-20
|
[
[
"Warringa",
"Harmen J.",
""
]
] |
We investigate the real-time dynamics of the chiral magnetic effect in quantum electrodynamics (QED) and quantum chromodynamics (QCD). We consider a field configuration of parallel (chromo)electric and (chromo)magnetic fields with a weak perpendicular electromagnetic magnetic field. The chiral magnetic effect induces an electromagnetic current along this perpendicular magnetic field, which we will compute using linear response theory. We discuss specific results for a homogeneous sudden switch-on and a pulsed (chromo)electric field in a static and homogeneous (chromo)magnetic field. Our methodology can be easily extended to more general situations. The results are useful for investigating the chiral magnetic effect with heavy ion collisions and with lasers that create strong electromagnetic fields. As a side result we obtain the rate of chirality production for massive fermions in parallel electric and magnetic fields that are static and homogeneous.
| 7.371739
| 7.511495
| 6.451261
| 6.855589
| 7.406344
| 7.542278
| 8.093383
| 7.456471
| 6.731692
| 7.141613
| 7.074144
| 7.272222
| 7.022026
| 7.141615
| 7.236637
| 7.261992
| 7.167199
| 7.429187
| 7.060953
| 7.013391
| 7.191994
|
1706.06104
|
Kazuya Yonekura
|
Hiroyuki Shimizu and Kazuya Yonekura
|
Anomaly constraints on deconfinement and chiral phase transition
|
6 pages, references added; v3:references added and minor change
|
Phys. Rev. D 97, 105011 (2018)
|
10.1103/PhysRevD.97.105011
|
IPMU 17-0082
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study constraints on thermal phase transitions of ${\rm SU}(N_c)$ gauge
theories by using the 't Hooft anomaly involving the center symmetry and chiral
symmetry. We consider two cases of massless fermions: (i) adjoint fermions, and
(ii) $N_f$ flavors of fundamental fermions with a nontrivial greatest common
divisor ${\rm gcd}(N_c,N_f) \neq 1$. For the first case (i), we show that the
chiral symmetry restoration in terms of the standard Landau-Ginzburg effective
action is impossible at a temperature lower than that of deconfinement. For the
second case (ii), we introduce a modified version of the center symmetry which
we call center-flavor symmetry, and draw similar conclusions under a certain
definition of confinement. Moreover, at zero temperature, our results give a
partial explanation of the appearance of dual magnetic gauge group in
(supersymmetric) QCD when ${\rm gcd}(N_c,N_f) \neq 1$.
|
[
{
"created": "Mon, 19 Jun 2017 18:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2017 11:38:01 GMT",
"version": "v2"
},
{
"created": "Thu, 24 May 2018 04:04:57 GMT",
"version": "v3"
}
] |
2018-05-25
|
[
[
"Shimizu",
"Hiroyuki",
""
],
[
"Yonekura",
"Kazuya",
""
]
] |
We study constraints on thermal phase transitions of ${\rm SU}(N_c)$ gauge theories by using the 't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two cases of massless fermions: (i) adjoint fermions, and (ii) $N_f$ flavors of fundamental fermions with a nontrivial greatest common divisor ${\rm gcd}(N_c,N_f) \neq 1$. For the first case (i), we show that the chiral symmetry restoration in terms of the standard Landau-Ginzburg effective action is impossible at a temperature lower than that of deconfinement. For the second case (ii), we introduce a modified version of the center symmetry which we call center-flavor symmetry, and draw similar conclusions under a certain definition of confinement. Moreover, at zero temperature, our results give a partial explanation of the appearance of dual magnetic gauge group in (supersymmetric) QCD when ${\rm gcd}(N_c,N_f) \neq 1$.
| 5.496012
| 5.376914
| 6.233398
| 5.566802
| 5.525843
| 5.52063
| 5.493694
| 5.389454
| 5.875033
| 6.553513
| 5.549438
| 5.314683
| 5.697129
| 5.444469
| 5.435096
| 5.526886
| 5.542791
| 5.387497
| 5.513211
| 5.645439
| 5.391346
|
1701.00764
|
Amir-Kian Kashani-Poor
|
Jie Gu, Min-xin Huang, Amir-Kian Kashani-Poor, Albrecht Klemm
|
Refined BPS invariants of 6d SCFTs from anomalies and modularity
|
64 pages; v2: typos corrected
| null |
10.1007/JHEP05(2017)130
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
F-theory compactifications on appropriate local elliptic Calabi-Yau manifolds
engineer six dimensional superconformal field theories and their mass
deformations. The partition function $Z_{top}$ of the refined topological
string on these geometries captures the particle BPS spectrum of this class of
theories compactified on a circle. Organizing $Z_{top}$ in terms of
contributions $Z_\beta$ at base degree $\beta$ of the elliptic fibration, we
find that these, up to a multiplier system, are meromorphic Jacobi forms of
weight zero with modular parameter the Kaehler class of the elliptic fiber and
elliptic parameters the couplings and mass parameters. The indices with regard
to the multiple elliptic parameters are fixed by the refined holomorphic
anomaly equations, which we show to be completely determined from knowledge of
the chiral anomaly of the corresponding SCFT. We express $Z_\beta$ as a
quotient of weak Jacobi forms, with a universal denominator inspired by its
pole structure as suggested by the form of $Z_{top}$ in terms of 5d BPS
numbers. The numerator is determined by modularity up to a finite number of
coefficients, which we prove to be fixed uniquely by imposing vanishing
conditions on 5d BPS numbers as boundary conditions. We demonstrate the
feasibility of our approach with many examples, in particular solving the
E-string and M-string theories including mass deformations, as well as theories
constructed as chains of these. We make contact with previous work by showing
that spurious singularities are cancelled when the partition function is
written in the form advocated here. Finally, we use the BPS invariants of the
E-string thus obtained to test a generalization of the
Goettsche-Nakajima-Yoshioka $K$-theoretic blowup equation, as inspired by the
Grassi-Hatsuda-Marino conjecture, to generic local Calabi-Yau threefolds.
|
[
{
"created": "Tue, 3 Jan 2017 18:10:42 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Feb 2018 13:19:05 GMT",
"version": "v2"
}
] |
2018-02-14
|
[
[
"Gu",
"Jie",
""
],
[
"Huang",
"Min-xin",
""
],
[
"Kashani-Poor",
"Amir-Kian",
""
],
[
"Klemm",
"Albrecht",
""
]
] |
F-theory compactifications on appropriate local elliptic Calabi-Yau manifolds engineer six dimensional superconformal field theories and their mass deformations. The partition function $Z_{top}$ of the refined topological string on these geometries captures the particle BPS spectrum of this class of theories compactified on a circle. Organizing $Z_{top}$ in terms of contributions $Z_\beta$ at base degree $\beta$ of the elliptic fibration, we find that these, up to a multiplier system, are meromorphic Jacobi forms of weight zero with modular parameter the Kaehler class of the elliptic fiber and elliptic parameters the couplings and mass parameters. The indices with regard to the multiple elliptic parameters are fixed by the refined holomorphic anomaly equations, which we show to be completely determined from knowledge of the chiral anomaly of the corresponding SCFT. We express $Z_\beta$ as a quotient of weak Jacobi forms, with a universal denominator inspired by its pole structure as suggested by the form of $Z_{top}$ in terms of 5d BPS numbers. The numerator is determined by modularity up to a finite number of coefficients, which we prove to be fixed uniquely by imposing vanishing conditions on 5d BPS numbers as boundary conditions. We demonstrate the feasibility of our approach with many examples, in particular solving the E-string and M-string theories including mass deformations, as well as theories constructed as chains of these. We make contact with previous work by showing that spurious singularities are cancelled when the partition function is written in the form advocated here. Finally, we use the BPS invariants of the E-string thus obtained to test a generalization of the Goettsche-Nakajima-Yoshioka $K$-theoretic blowup equation, as inspired by the Grassi-Hatsuda-Marino conjecture, to generic local Calabi-Yau threefolds.
| 8.650197
| 8.810711
| 10.18778
| 8.519361
| 9.113863
| 8.971252
| 9.143986
| 8.763488
| 8.846587
| 12.400162
| 8.596842
| 8.489699
| 8.884721
| 8.268042
| 8.496067
| 8.626618
| 8.43755
| 8.399822
| 8.440618
| 9.060143
| 8.376569
|
2211.11198
|
Michael P. Kinach
|
Michael P. Kinach, Matthew W. Choptuik
|
Dynamical evolution of $U(1)$ gauged Q-balls in axisymmetry
|
16 pages, 14 figures; v2: updated to reflect minor changes in
published version
|
Phys. Rev. D 107, 035022 (2023)
|
10.1103/PhysRevD.107.035022
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamics of $U(1)$ gauged Q-balls using fully non-linear
numerical evolutions in axisymmetry. Focusing on two models with logarithmic
and polynomial scalar field potentials, we numerically evolve perturbed gauged
Q-ball configurations in order to assess their stability and determine the fate
of unstable configurations. Our simulations suggest that there exist both
stable and unstable branches of solutions with respect to axisymmetric
perturbations. For solutions belonging to the stable branch, the gauged Q-balls
respond to the perturbations by oscillating continuously or weakly radiating
before returning to the initial configuration. For the unstable branch, the
solutions are eventually destroyed and can evolve in several ways, such as
dispersal of the fields to infinity or fragmentation into smaller gauged
Q-balls. In some cases, we observe the formation of ring-like structures which
we call "gauged Q-rings". We also investigate the stability of gauged Q-balls
when the gauge coupling is small, finding that the behaviour of these
configurations closely resembles that of ordinary (non-gauged) Q-balls.
|
[
{
"created": "Mon, 21 Nov 2022 06:14:42 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 2023 21:43:45 GMT",
"version": "v2"
}
] |
2023-04-04
|
[
[
"Kinach",
"Michael P.",
""
],
[
"Choptuik",
"Matthew W.",
""
]
] |
We study the dynamics of $U(1)$ gauged Q-balls using fully non-linear numerical evolutions in axisymmetry. Focusing on two models with logarithmic and polynomial scalar field potentials, we numerically evolve perturbed gauged Q-ball configurations in order to assess their stability and determine the fate of unstable configurations. Our simulations suggest that there exist both stable and unstable branches of solutions with respect to axisymmetric perturbations. For solutions belonging to the stable branch, the gauged Q-balls respond to the perturbations by oscillating continuously or weakly radiating before returning to the initial configuration. For the unstable branch, the solutions are eventually destroyed and can evolve in several ways, such as dispersal of the fields to infinity or fragmentation into smaller gauged Q-balls. In some cases, we observe the formation of ring-like structures which we call "gauged Q-rings". We also investigate the stability of gauged Q-balls when the gauge coupling is small, finding that the behaviour of these configurations closely resembles that of ordinary (non-gauged) Q-balls.
| 5.756191
| 5.372792
| 5.618547
| 4.981833
| 5.468404
| 5.064724
| 5.565047
| 5.138626
| 5.305423
| 5.94065
| 5.326644
| 5.702613
| 5.923563
| 5.600734
| 5.510549
| 5.434689
| 5.562418
| 5.40483
| 5.685859
| 5.849357
| 5.629613
|
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