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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1006.4132
|
Stanislaw D. Glazek
|
Stanislaw D. Glazek
|
Non-local structure of renormalized Hamiltonian densities on the
light-front hyperplane in space-time
|
latex, 41 pages, 5 figures
|
Acta Phys.Polon.B41:1937-1976,2010
| null |
IFT/10/05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When canonical Hamiltonians of local quantum field theories are transformed
using a renormalization group procedure for effective particles, the resulting
interaction terms are non-local. The range of their non-locality depends on the
arbitrary parameter of scale, which characterizes the size of effective
particles in terms of the allowed range of virtual energy changes caused by
interactions. This article describes a generic example of the non-locality that
characterizes light-front interaction Hamiltonian densities of first-order in
an effective coupling constant. The same non-locality is also related to a
relative motion wave function for a bound state of two particles.
|
[
{
"created": "Mon, 21 Jun 2010 18:05:16 GMT",
"version": "v1"
}
] |
2014-11-21
|
[
[
"Glazek",
"Stanislaw D.",
""
]
] |
When canonical Hamiltonians of local quantum field theories are transformed using a renormalization group procedure for effective particles, the resulting interaction terms are non-local. The range of their non-locality depends on the arbitrary parameter of scale, which characterizes the size of effective particles in terms of the allowed range of virtual energy changes caused by interactions. This article describes a generic example of the non-locality that characterizes light-front interaction Hamiltonian densities of first-order in an effective coupling constant. The same non-locality is also related to a relative motion wave function for a bound state of two particles.
| 16.491144
| 13.358572
| 17.403147
| 14.250813
| 16.345661
| 14.356549
| 14.832575
| 14.2844
| 13.86285
| 15.379542
| 14.385832
| 14.422983
| 15.206212
| 14.190414
| 14.717402
| 14.662951
| 14.967039
| 14.617094
| 14.308386
| 15.604872
| 14.798699
|
1710.05125
|
Hirohumi Sawayanagi
|
Hirohumi Sawayanagi
|
Condensate $\langle A_{\mu}^+A_{\mu}^-\rangle$ and massive magnetic
potential in Euclidean gauge theories
|
To appear in Progress of Theoretical and Experimental Physics
|
Prog Theor Exp Phys (2017)
|
10.1093/ptep/ptx149
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Euclidean $SU(2)$ gauge theory is studied in a nonlinear gauge. In this
theory, ghost condensation happens and gauge fields acquire tachyonic masses.
It is shown that these tachyonic masses are removed by a gauge field condensate
$\langle A_{\mu}^+A_{\mu}^-\rangle$. Because of the ghost condensation,
monopole solutions are included naturally. We find the condensate $\langle
A_{\mu}^+A_{\mu}^-\rangle$ makes the magnetic potential massive.
|
[
{
"created": "Sat, 14 Oct 2017 02:31:19 GMT",
"version": "v1"
}
] |
2019-12-06
|
[
[
"Sawayanagi",
"Hirohumi",
""
]
] |
Euclidean $SU(2)$ gauge theory is studied in a nonlinear gauge. In this theory, ghost condensation happens and gauge fields acquire tachyonic masses. It is shown that these tachyonic masses are removed by a gauge field condensate $\langle A_{\mu}^+A_{\mu}^-\rangle$. Because of the ghost condensation, monopole solutions are included naturally. We find the condensate $\langle A_{\mu}^+A_{\mu}^-\rangle$ makes the magnetic potential massive.
| 6.658909
| 6.145182
| 6.089973
| 5.822692
| 6.895504
| 6.128248
| 5.863379
| 6.360765
| 5.748124
| 7.452065
| 6.137943
| 5.900735
| 6.218429
| 6.117041
| 6.150298
| 6.052043
| 6.100437
| 6.147779
| 6.22737
| 6.168954
| 6.136783
|
1705.06482
|
Gao-Liang Zhou
|
Gao-Liang Zhou, Zheng-Xin Yan and Xin Zhang
|
Equivalence Between the Gauge $n\cdot\partial n\cdot A=0$ and the Axial
Gauge
|
5pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Discontinuity of gauge theory in the gauge condition $n\cdot\partial n\cdot
A=0$, which emerges at $n\cdot k=0$, is studied here. Such discontinuity is
different from that one confronts in axial gauge and can not be regularized by
conventional analytical continuation method. The Faddeev-Popov determinate of
the gauge $n\cdot\partial n\cdot A=0$, which is solved explicitly in the
manuscript, behaves like a $\delta$-functional of gauge potentials once
singularities in the functional integral is neglected and the length along
$n^{\mu}$ direction of the space tends to infinity. As a sequence, perturbation
series in the gauge $n\cdot\partial n\cdot A=0$ returns to that in axial gauge
for short-range correlated objects that are free from singularities in path
integral. However, the equivalence between the gauge $n\cdot\partial n\cdot
A=0$ and axil gauge is nontrivial for long-range correlated objects and
quantities that are affected by singularities in path integral. Continuity of
gauge links one encounter in perturbation theory and lattice calculation is
affected by such discontinuity.
|
[
{
"created": "Thu, 18 May 2017 09:05:28 GMT",
"version": "v1"
}
] |
2017-05-19
|
[
[
"Zhou",
"Gao-Liang",
""
],
[
"Yan",
"Zheng-Xin",
""
],
[
"Zhang",
"Xin",
""
]
] |
Discontinuity of gauge theory in the gauge condition $n\cdot\partial n\cdot A=0$, which emerges at $n\cdot k=0$, is studied here. Such discontinuity is different from that one confronts in axial gauge and can not be regularized by conventional analytical continuation method. The Faddeev-Popov determinate of the gauge $n\cdot\partial n\cdot A=0$, which is solved explicitly in the manuscript, behaves like a $\delta$-functional of gauge potentials once singularities in the functional integral is neglected and the length along $n^{\mu}$ direction of the space tends to infinity. As a sequence, perturbation series in the gauge $n\cdot\partial n\cdot A=0$ returns to that in axial gauge for short-range correlated objects that are free from singularities in path integral. However, the equivalence between the gauge $n\cdot\partial n\cdot A=0$ and axil gauge is nontrivial for long-range correlated objects and quantities that are affected by singularities in path integral. Continuity of gauge links one encounter in perturbation theory and lattice calculation is affected by such discontinuity.
| 9.60201
| 10.327523
| 9.903889
| 9.039021
| 9.946371
| 10.330224
| 10.76171
| 10.060551
| 9.565154
| 10.359834
| 9.836753
| 9.347167
| 9.379369
| 9.409438
| 9.647205
| 9.206548
| 9.290999
| 9.315145
| 9.36228
| 9.450361
| 9.210502
|
1506.02450
|
Asuka Ito
|
Asuka Ito, Jiro Soda
|
Designing Anisotropic Inflation with Form Fields
|
27 pages, 8 figures
|
Phys. Rev. D 92, 123533 (2015)
|
10.1103/PhysRevD.92.123533
|
KOBE-TH-15-05
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study inflation with anisotropic hair induced by form fields. In four
dimensions, the relevant form fields are gauge (one-form) fields and two-form
fields. Assuming the exponential form of potential and gauge kinetic functions,
we find new exact power-law solutions endowed with anisotropic hair. We also
explore the phase space of anisotropic inflation and find fixed points
corresponding to the exact power-law solutions. Moreover, we perform the
stability analysis around the fixed points to reveal the structure of the phase
space. It turns out that one of the fixed points becomes an attractor and
others (if any) are saddle points. In particular, the one corresponding to
anisotropic inflation becomes an attractor when it exists. We also argue that
various anisotropic inflation models can be designed by choosing coupling
constants.
|
[
{
"created": "Mon, 8 Jun 2015 11:43:33 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jan 2016 05:58:13 GMT",
"version": "v2"
}
] |
2016-01-11
|
[
[
"Ito",
"Asuka",
""
],
[
"Soda",
"Jiro",
""
]
] |
We study inflation with anisotropic hair induced by form fields. In four dimensions, the relevant form fields are gauge (one-form) fields and two-form fields. Assuming the exponential form of potential and gauge kinetic functions, we find new exact power-law solutions endowed with anisotropic hair. We also explore the phase space of anisotropic inflation and find fixed points corresponding to the exact power-law solutions. Moreover, we perform the stability analysis around the fixed points to reveal the structure of the phase space. It turns out that one of the fixed points becomes an attractor and others (if any) are saddle points. In particular, the one corresponding to anisotropic inflation becomes an attractor when it exists. We also argue that various anisotropic inflation models can be designed by choosing coupling constants.
| 7.918046
| 8.053865
| 8.053013
| 7.698294
| 7.87721
| 8.281555
| 8.098879
| 7.613219
| 7.778463
| 8.321253
| 7.344442
| 7.795013
| 7.589126
| 7.618254
| 7.631914
| 7.752386
| 7.72955
| 7.796043
| 7.541984
| 7.687945
| 7.736438
|
1210.0966
|
Miao Rongxin
|
Miao Li and Rong-Xin Miao
|
A New Model of Holographic Dark Energy with Action Principle
|
11 pages, no figures, typo corrected, English improved
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new model of holographic dark energy with an action. It is the
first time that one can derive a HDE model from the action principle. The
puzzles of causality and circular logic about HDE have been completely solved
in this model. The evolution of the universe only depends on the present state
of the universe, clearly showing that it obeys the law of causality.
Furthermore, the use of future event horizon as a present cut-off is not an
input but automatically follows from equations of motion. Interestingly, this
new model is very similar to the initial one of Li except a new term which may
be explained as dark radiation.
|
[
{
"created": "Wed, 3 Oct 2012 02:52:58 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Oct 2012 01:15:37 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Nov 2012 14:48:07 GMT",
"version": "v3"
}
] |
2012-11-26
|
[
[
"Li",
"Miao",
""
],
[
"Miao",
"Rong-Xin",
""
]
] |
We propose a new model of holographic dark energy with an action. It is the first time that one can derive a HDE model from the action principle. The puzzles of causality and circular logic about HDE have been completely solved in this model. The evolution of the universe only depends on the present state of the universe, clearly showing that it obeys the law of causality. Furthermore, the use of future event horizon as a present cut-off is not an input but automatically follows from equations of motion. Interestingly, this new model is very similar to the initial one of Li except a new term which may be explained as dark radiation.
| 13.636997
| 14.015577
| 13.50855
| 12.114232
| 12.142938
| 13.071905
| 12.787478
| 11.154886
| 12.794017
| 13.662656
| 11.977185
| 12.91097
| 12.968516
| 12.735909
| 13.10962
| 13.025669
| 12.766027
| 12.514814
| 13.104652
| 12.831472
| 13.057195
|
1902.11286
|
Marcus Spradlin
|
John Golden, Andrew J. McLeod, Marcus Spradlin, Anastasia Volovich
|
The Sklyanin Bracket and Cluster Adjacency at All Multiplicity
|
25 pages; v2: added reference
| null |
10.1007/JHEP03(2019)195
|
LCTP-19-03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the Sklyanin Poisson bracket on Gr(4,n) can be used to
efficiently test whether an amplitude in planar ${\cal{N}}=4$ supersymmetric
Yang-Mills theory satisfies cluster adjacency. We use this test to show that
cluster adjacency is satisfied by all one- and two-loop MHV amplitudes in this
theory, once suitably regulated. Using this technique we also demonstrate that
cluster adjacency implies the extended Steinmann relations at all particle
multiplicities.
|
[
{
"created": "Thu, 28 Feb 2019 18:43:21 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Mar 2019 17:24:11 GMT",
"version": "v2"
}
] |
2019-05-01
|
[
[
"Golden",
"John",
""
],
[
"McLeod",
"Andrew J.",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
We argue that the Sklyanin Poisson bracket on Gr(4,n) can be used to efficiently test whether an amplitude in planar ${\cal{N}}=4$ supersymmetric Yang-Mills theory satisfies cluster adjacency. We use this test to show that cluster adjacency is satisfied by all one- and two-loop MHV amplitudes in this theory, once suitably regulated. Using this technique we also demonstrate that cluster adjacency implies the extended Steinmann relations at all particle multiplicities.
| 9.569105
| 9.684319
| 12.836717
| 8.722868
| 9.702309
| 9.302571
| 9.53536
| 9.054584
| 7.928852
| 12.860629
| 8.118472
| 9.404677
| 10.416834
| 9.112617
| 9.680124
| 9.511088
| 9.035893
| 9.314084
| 9.16128
| 10.173544
| 9.170261
|
1203.2182
|
Piotr Sulkowski
|
Hiroyuki Fuji, Sergei Gukov, Piotr Su{\l}kowski
|
Volume Conjecture: Refined and Categorified
|
with an appendix by Hidetoshi Awata; 92 pages, 24 figures
|
Adv. Theor. Math. Phys. 16, 6 (2012) 1669-1777
|
10.4310/ATMP.2012.v16.n6.a3
|
CALT-68-2866
|
hep-th math.AG math.GT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The generalized volume conjecture relates asymptotic behavior of the colored
Jones polynomials to objects naturally defined on an algebraic curve, the zero
locus of the A-polynomial $A(x,y)$. Another "family version" of the volume
conjecture depends on a quantization parameter, usually denoted $q$ or $\hbar$;
this quantum volume conjecture (also known as the AJ-conjecture) can be stated
in a form of a q-difference equation that annihilates the colored Jones
polynomials and $SL(2,\C)$ Chern-Simons partition functions. We propose
refinements / categorifications of both conjectures that include an extra
deformation parameter $t$ and describe similar properties of homological knot
invariants and refined BPS invariants. Much like their unrefined /
decategorified predecessors, that correspond to $t=-1$, the new volume
conjectures involve objects naturally defined on an algebraic curve $A^{ref}
(x,y; t)$ obtained by a particular deformation of the A-polynomial, and its
quantization $\hat A^{ref} (\hat x, \hat y; q, t)$. We compute both classical
and quantum t-deformed curves in a number of examples coming from colored knot
homologies and refined BPS invariants.
|
[
{
"created": "Fri, 9 Mar 2012 21:00:05 GMT",
"version": "v1"
}
] |
2017-05-23
|
[
[
"Fuji",
"Hiroyuki",
""
],
[
"Gukov",
"Sergei",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
The generalized volume conjecture relates asymptotic behavior of the colored Jones polynomials to objects naturally defined on an algebraic curve, the zero locus of the A-polynomial $A(x,y)$. Another "family version" of the volume conjecture depends on a quantization parameter, usually denoted $q$ or $\hbar$; this quantum volume conjecture (also known as the AJ-conjecture) can be stated in a form of a q-difference equation that annihilates the colored Jones polynomials and $SL(2,\C)$ Chern-Simons partition functions. We propose refinements / categorifications of both conjectures that include an extra deformation parameter $t$ and describe similar properties of homological knot invariants and refined BPS invariants. Much like their unrefined / decategorified predecessors, that correspond to $t=-1$, the new volume conjectures involve objects naturally defined on an algebraic curve $A^{ref} (x,y; t)$ obtained by a particular deformation of the A-polynomial, and its quantization $\hat A^{ref} (\hat x, \hat y; q, t)$. We compute both classical and quantum t-deformed curves in a number of examples coming from colored knot homologies and refined BPS invariants.
| 7.532026
| 9.024909
| 9.548245
| 8.226439
| 8.498861
| 8.72675
| 9.717058
| 8.574963
| 8.062813
| 9.874043
| 8.323686
| 7.694222
| 7.860844
| 7.846463
| 7.573865
| 7.758751
| 7.653604
| 7.468287
| 7.892651
| 8.274559
| 7.530159
|
1502.08044
|
Yanyan Bu
|
Yanyan Bu and Michael Lublinsky
|
Linearly resummed hydrodynamics in a weakly curved spacetime
|
24 pages + appendices, 1 table, 6 muti-figures
| null |
10.1007/JHEP04(2015)136
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend our study of all-order linearly resummed hydrodynamics in a flat
space~\cite{1406.7222,1409.3095} to fluids in weakly curved spaces. The
underlying microscopic theory is a finite temperature $\mathcal{N}=4$
super-Yang-Mills theory at strong coupling. The AdS/CFT correspondence relates
black brane solutions of the Einstein gravity in asymptotically \emph{locally}
$\textrm{AdS}_5$ geometry to relativistic conformal fluids in a weakly curved
4D background. To linear order in the amplitude of hydrodynamic variables and
metric perturbations, the fluid's energy-momentum tensor is computed with
derivatives of both the fluid velocity and background metric resummed to all
orders. We extensively discuss the meaning of all order hydrodynamics by
expressing it in terms of the memory function formalism, which is also suitable
for practical simulations. In addition to two viscosity functions discussed at
length in refs.~\cite{1406.7222,1409.3095}, we find four curvature induced
structures coupled to the fluid via new transport coefficient functions. In
ref.~\cite{0905.4069}, the latter were referred to as gravitational
susceptibilities of the fluid. We analytically compute these coefficients in
the hydrodynamic limit, and then numerically up to large values of momenta.
|
[
{
"created": "Fri, 27 Feb 2015 20:24:01 GMT",
"version": "v1"
}
] |
2015-05-20
|
[
[
"Bu",
"Yanyan",
""
],
[
"Lublinsky",
"Michael",
""
]
] |
We extend our study of all-order linearly resummed hydrodynamics in a flat space~\cite{1406.7222,1409.3095} to fluids in weakly curved spaces. The underlying microscopic theory is a finite temperature $\mathcal{N}=4$ super-Yang-Mills theory at strong coupling. The AdS/CFT correspondence relates black brane solutions of the Einstein gravity in asymptotically \emph{locally} $\textrm{AdS}_5$ geometry to relativistic conformal fluids in a weakly curved 4D background. To linear order in the amplitude of hydrodynamic variables and metric perturbations, the fluid's energy-momentum tensor is computed with derivatives of both the fluid velocity and background metric resummed to all orders. We extensively discuss the meaning of all order hydrodynamics by expressing it in terms of the memory function formalism, which is also suitable for practical simulations. In addition to two viscosity functions discussed at length in refs.~\cite{1406.7222,1409.3095}, we find four curvature induced structures coupled to the fluid via new transport coefficient functions. In ref.~\cite{0905.4069}, the latter were referred to as gravitational susceptibilities of the fluid. We analytically compute these coefficients in the hydrodynamic limit, and then numerically up to large values of momenta.
| 7.31896
| 7.69566
| 8.398036
| 7.45684
| 7.942876
| 8.040195
| 7.487017
| 7.475081
| 7.4306
| 8.645449
| 7.546739
| 7.164409
| 7.522872
| 7.195788
| 7.165236
| 7.50198
| 7.112279
| 7.291231
| 7.207641
| 7.478754
| 7.118805
|
2203.12636
|
Matteo Morittu
|
Gianguido Dall'Agata, Maxim Emelin, Fotis Farakos, Matteo Morittu
|
Anti-brane uplift instability from goldstino condensation
|
40 pages, 6 plots. v2: references added and minor clarifications
| null |
10.1007/JHEP08(2022)005
| null |
hep-th cond-mat.stat-mech hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the possible appearance of composite states of the goldstino
in models with four-dimensional non-linear supersymmetry and we provide a
description of their dynamics in terms of a K\"ahler potential and a
superpotential. Our analysis shows that the critical point corresponding to the
Volkov-Akulov model is unstable. Similarly, we find that the uplifted stable de
Sitter critical point of the KKLT model is shifted and acquires a tachyonic
instability. Our findings indicate the existence of a potentially dangerous
instability shared by all anti-brane uplifts.
|
[
{
"created": "Wed, 23 Mar 2022 18:00:08 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Apr 2022 09:20:08 GMT",
"version": "v2"
}
] |
2022-08-24
|
[
[
"Dall'Agata",
"Gianguido",
""
],
[
"Emelin",
"Maxim",
""
],
[
"Farakos",
"Fotis",
""
],
[
"Morittu",
"Matteo",
""
]
] |
We investigate the possible appearance of composite states of the goldstino in models with four-dimensional non-linear supersymmetry and we provide a description of their dynamics in terms of a K\"ahler potential and a superpotential. Our analysis shows that the critical point corresponding to the Volkov-Akulov model is unstable. Similarly, we find that the uplifted stable de Sitter critical point of the KKLT model is shifted and acquires a tachyonic instability. Our findings indicate the existence of a potentially dangerous instability shared by all anti-brane uplifts.
| 11.183755
| 10.175285
| 11.205639
| 9.522302
| 10.161273
| 10.710624
| 9.794671
| 10.081483
| 9.451213
| 10.515069
| 10.172023
| 10.414773
| 10.78501
| 10.455415
| 9.884548
| 10.473768
| 10.094728
| 10.137433
| 10.607803
| 10.951435
| 10.371202
|
1712.09955
|
Jia-Hui Huang
|
Jia-Hui Huang
|
Group constraint relations for five-point amplitudes in gauge theories
with SO(N) and Sp(2N) groups
|
20 pages, reference added, typo corrected
| null |
10.1016/j.nuclphysb.2021.115370
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper,linear constraint relations among loop-order five-point
color-ordered amplitudes in $SO(N)$ and $Sp(2N)$ gauge theories are derived
with the group-theoretic method. These constrains are derived up to four-loop
order. It is found that in both theories, there are $n=6,22,34,44,50$ linear
constraint relations at $L=0,1,2,3,4$ loop orders. Then the numbers of
independent color-ordered five-point amplitudes are respectively
$n_{ind.}=6,12,22,34,50$ at each loop order.
|
[
{
"created": "Thu, 28 Dec 2017 18:00:58 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Dec 2017 14:57:15 GMT",
"version": "v2"
}
] |
2021-03-15
|
[
[
"Huang",
"Jia-Hui",
""
]
] |
In this paper,linear constraint relations among loop-order five-point color-ordered amplitudes in $SO(N)$ and $Sp(2N)$ gauge theories are derived with the group-theoretic method. These constrains are derived up to four-loop order. It is found that in both theories, there are $n=6,22,34,44,50$ linear constraint relations at $L=0,1,2,3,4$ loop orders. Then the numbers of independent color-ordered five-point amplitudes are respectively $n_{ind.}=6,12,22,34,50$ at each loop order.
| 7.310919
| 6.927806
| 6.2309
| 6.71293
| 7.930523
| 6.772083
| 6.025398
| 6.268908
| 6.361466
| 7.145803
| 7.332929
| 6.165264
| 6.347407
| 6.371987
| 6.295741
| 6.347637
| 6.269537
| 6.241597
| 6.044298
| 6.325574
| 6.432052
|
2012.12343
|
Ishmael Takyi
|
I. Takyi, B. Barnes, J. Ackora-Prah
|
Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models
|
12 pages, 8 figures, 4 tables
|
Turk J Phys, 45, (2021), 194-206
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the one-loop quantum corrections to the kink energies of the
sinh-deformed $\phi^{4}$ and $\varphi^{6}$ models in one space and one time
dimensions. These models are constructed from the well-known polynomial
$\phi^{4}$ and $\varphi^{6}$ models by a deformation procedure. We also compute
the vacuum polarization energy to the non-polynomial function
$U(\phi)=\frac{1}{4}(1-\sinh^{2}\phi)^{2}$. This potential approaches the
$\phi^{4}$ model in the limit of small values of the scalar function. These
energies are extracted from scattering data for fluctuations about the kink
solutions. We show that for certain topological sectors with non-equivalent
vacua the kink solutions of the sinh-deformed models are destabilized.
|
[
{
"created": "Tue, 22 Dec 2020 20:33:12 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 2021 14:35:01 GMT",
"version": "v2"
}
] |
2021-09-08
|
[
[
"Takyi",
"I.",
""
],
[
"Barnes",
"B.",
""
],
[
"Ackora-Prah",
"J.",
""
]
] |
We compute the one-loop quantum corrections to the kink energies of the sinh-deformed $\phi^{4}$ and $\varphi^{6}$ models in one space and one time dimensions. These models are constructed from the well-known polynomial $\phi^{4}$ and $\varphi^{6}$ models by a deformation procedure. We also compute the vacuum polarization energy to the non-polynomial function $U(\phi)=\frac{1}{4}(1-\sinh^{2}\phi)^{2}$. This potential approaches the $\phi^{4}$ model in the limit of small values of the scalar function. These energies are extracted from scattering data for fluctuations about the kink solutions. We show that for certain topological sectors with non-equivalent vacua the kink solutions of the sinh-deformed models are destabilized.
| 5.308273
| 5.19102
| 6.777555
| 5.437292
| 6.263592
| 5.495028
| 5.376503
| 5.857393
| 5.521657
| 6.271172
| 5.400069
| 5.370422
| 6.011584
| 5.304938
| 5.713735
| 5.40503
| 5.341711
| 5.591727
| 5.328297
| 5.595669
| 5.330171
|
1906.08252
|
Valentina Giangreco M. Puletti
|
J. Angel-Ramelli, V. Giangreco M. Puletti, L. Thorlacius
|
Entanglement Entropy in Generalised Quantum Lifshitz Models
|
60 pages (including appendices), 5 figures; v2: references added,
presentation improved, conclusions unchanged, v3: matching published version
| null |
10.1007/JHEP08(2019)072
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute universal finite corrections to entanglement entropy for
generalised quantum Lifshitz models in arbitrary odd spacetime dimensions.
These are generalised free field theories with Lifshitz scaling symmetry, where
the dynamical critical exponent $z$ equals the number of spatial dimensions
$d$, and which generalise the 2+1-dimensional quantum Lifshitz model to higher
dimensions. We analyse two cases: one where the spatial manifold is a
$d$-dimensional sphere and the entanglement entropy is evaluated for a
hemisphere, and another where a $d$-dimensional flat torus is divided into two
cylinders. In both examples the finite universal terms in the entanglement
entropy are scale invariant and depend on the compactification radius of the
scalar field.
|
[
{
"created": "Wed, 19 Jun 2019 17:51:53 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2019 17:51:52 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Aug 2019 16:31:59 GMT",
"version": "v3"
}
] |
2019-09-04
|
[
[
"Angel-Ramelli",
"J.",
""
],
[
"Puletti",
"V. Giangreco M.",
""
],
[
"Thorlacius",
"L.",
""
]
] |
We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical critical exponent $z$ equals the number of spatial dimensions $d$, and which generalise the 2+1-dimensional quantum Lifshitz model to higher dimensions. We analyse two cases: one where the spatial manifold is a $d$-dimensional sphere and the entanglement entropy is evaluated for a hemisphere, and another where a $d$-dimensional flat torus is divided into two cylinders. In both examples the finite universal terms in the entanglement entropy are scale invariant and depend on the compactification radius of the scalar field.
| 5.60976
| 5.938643
| 5.599249
| 5.682466
| 5.510217
| 5.742349
| 5.795322
| 5.950761
| 5.582374
| 5.991327
| 5.844346
| 5.417907
| 5.765113
| 5.456928
| 5.706544
| 5.535757
| 5.710106
| 5.527874
| 5.458613
| 5.490574
| 5.498918
|
2106.12780
|
Omer Faruk Dayi
|
\"O.F.Dayi and E. Kilin\c{c}arslan
|
Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions
|
Comments and refs added. Published version
|
JHEP11(2021)086
|
10.1007/JHEP11(2021)086
| null |
hep-th hep-ph math.AP
|
http://creativecommons.org/licenses/by/4.0/
|
Fluid of spin-1/2 fermions is represented by a complex scalar field and a
four-vector field coupled both to the scalar and the Dirac fields. We present
the underlying action and show that the resulting equations of motion are
identical to the (hydrodynamic) Euler equations in the presence of Coriolis
force. As a consequence of the gauge invariances of this action we established
the quantum kinetic equation which takes account of noninertial properties of
the fluid in the presence of electromagnetic fields. The equations of the field
components of Wigner function in Clifford algebra basis are employed to
construct new semiclassical covariant kinetic equations of the vector and
axial-vector field components for massless as well as massive fermions.
Nonrelativistic limit of the chiral kinetic equation is studied and shown that
it generates a novel three-dimensional transport theory which does not depend
on spatial variables explicitly and possesses a Coriolis force term. We
demonstrated that the three-dimensional chiral transport equations are
consistent with the chiral anomaly. For massive fermions the three-dimensional
kinetic transport theory generated by the new covariant kinetic equations is
established in small mass limit. It possesses the Coriolis force and the
massless limit can be obtained directly.
|
[
{
"created": "Thu, 24 Jun 2021 06:11:29 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Sep 2021 11:24:43 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Nov 2021 13:39:33 GMT",
"version": "v3"
}
] |
2021-11-16
|
[
[
"Dayi",
"Ö. F.",
""
],
[
"Kilinçarslan",
"E.",
""
]
] |
Fluid of spin-1/2 fermions is represented by a complex scalar field and a four-vector field coupled both to the scalar and the Dirac fields. We present the underlying action and show that the resulting equations of motion are identical to the (hydrodynamic) Euler equations in the presence of Coriolis force. As a consequence of the gauge invariances of this action we established the quantum kinetic equation which takes account of noninertial properties of the fluid in the presence of electromagnetic fields. The equations of the field components of Wigner function in Clifford algebra basis are employed to construct new semiclassical covariant kinetic equations of the vector and axial-vector field components for massless as well as massive fermions. Nonrelativistic limit of the chiral kinetic equation is studied and shown that it generates a novel three-dimensional transport theory which does not depend on spatial variables explicitly and possesses a Coriolis force term. We demonstrated that the three-dimensional chiral transport equations are consistent with the chiral anomaly. For massive fermions the three-dimensional kinetic transport theory generated by the new covariant kinetic equations is established in small mass limit. It possesses the Coriolis force and the massless limit can be obtained directly.
| 11.751433
| 11.681929
| 11.502478
| 11.099239
| 12.150679
| 12.201737
| 12.203137
| 11.109008
| 11.537122
| 12.399866
| 11.138638
| 11.197725
| 11.005442
| 11.000772
| 11.10398
| 11.186227
| 11.523731
| 11.107347
| 10.675337
| 11.668176
| 11.279743
|
2010.08498
|
Hasmik Poghosyan Mrs
|
Hasmik Poghosyan
|
Recursion relation for instanton counting for $SU(2)$ ${\cal N}=2$ SYM
in NS limit of $\Omega$ background
|
28 pages, 6 figures, some clarifications and citations added,
published version
| null |
10.1007/JHEP05(2021)088
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we investigate different ways of deriving the A-cycle period as
a series in instanton counting parameter $q$ for ${\cal N}=2$ SYM with up to
four antifundamental hypermultiplets in NS limit of $\Omega$ background. We
propose a new method for calculating the period and demonstrate its efficiency
by explicit calculations. The new way of doing instanton counting is more
advantageous compared to known standard techniques and allows to reach
substantially higher order terms with less effort. This approach is applied for
the pure case as well as for the case with several hypermultiplets.
We also investigate a numerical method for deriving the $A$-cycle period
valid for arbitrary values of $q$. Analyzing large $q$ asymptotic we get
convincing agreement with an analytic expression deduced from a conjecture by
Alexei Zamolodchikov in a different context.
|
[
{
"created": "Fri, 16 Oct 2020 16:55:21 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Oct 2020 09:11:06 GMT",
"version": "v2"
},
{
"created": "Wed, 19 May 2021 05:29:54 GMT",
"version": "v3"
}
] |
2021-06-02
|
[
[
"Poghosyan",
"Hasmik",
""
]
] |
In this paper we investigate different ways of deriving the A-cycle period as a series in instanton counting parameter $q$ for ${\cal N}=2$ SYM with up to four antifundamental hypermultiplets in NS limit of $\Omega$ background. We propose a new method for calculating the period and demonstrate its efficiency by explicit calculations. The new way of doing instanton counting is more advantageous compared to known standard techniques and allows to reach substantially higher order terms with less effort. This approach is applied for the pure case as well as for the case with several hypermultiplets. We also investigate a numerical method for deriving the $A$-cycle period valid for arbitrary values of $q$. Analyzing large $q$ asymptotic we get convincing agreement with an analytic expression deduced from a conjecture by Alexei Zamolodchikov in a different context.
| 12.093901
| 11.904155
| 12.326882
| 11.3361
| 11.682182
| 11.907712
| 11.971598
| 11.322593
| 11.020532
| 13.19027
| 10.986306
| 10.585288
| 11.036994
| 10.267061
| 10.723279
| 10.52147
| 10.588047
| 10.620335
| 10.486429
| 10.882059
| 10.236514
|
hep-th/0008169
|
I. L. Buchbinder
|
I.L. Buchbinder
|
Low-Energy Effective Action in N=4 Super Yang-Mills Theories
|
9 pages, LaTeX, Talk given at the Conference "Quantization, Gauge
Theory, and Strings" dedicated to the memory of Professor Efim Fradkin, June
5-10, 2000, Moscow, to be published in the Proceedings
| null | null | null |
hep-th
| null |
We review a recent progress in constructing low-energy effective action in
N=4 super Yang-Mills theories. Using harmonic superspace approach we consider
N=4 SYM in terms of unconstrained N=2 superfield and apply N=2 background field
method to finding effective action for N=4 SU(n) SYM broken down to
U(n)$^{n-1}$. General structure of leading low-energy corrections to effective
action is discussed.
|
[
{
"created": "Tue, 22 Aug 2000 11:06:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Buchbinder",
"I. L.",
""
]
] |
We review a recent progress in constructing low-energy effective action in N=4 super Yang-Mills theories. Using harmonic superspace approach we consider N=4 SYM in terms of unconstrained N=2 superfield and apply N=2 background field method to finding effective action for N=4 SU(n) SYM broken down to U(n)$^{n-1}$. General structure of leading low-energy corrections to effective action is discussed.
| 9.912622
| 5.818182
| 9.298061
| 6.678957
| 7.80377
| 7.818458
| 7.945285
| 6.462173
| 6.798323
| 10.810104
| 6.826264
| 8.072131
| 8.723349
| 8.017037
| 8.737246
| 8.649388
| 8.336765
| 7.842027
| 8.069466
| 9.00895
| 7.918171
|
hep-th/9901021
|
Edward Witten
|
C. Robin Graham and Edward Witten
|
Conformal Anomaly Of Submanifold Observables In AdS/CFT Correspondence
|
11 pp
|
Nucl.Phys.B546:52-64,1999
|
10.1016/S0550-3213(99)00055-3
| null |
hep-th
| null |
We analyze the conformal invariance of submanifold observables associated
with $k$-branes in the AdS/CFT correspondence. For odd $k$, the resulting
observables are conformally invariant, and for even $k$, they transform with a
conformal anomaly that is given by a local expression which we analyze in
detail for $k=2$
|
[
{
"created": "Wed, 6 Jan 1999 13:12:40 GMT",
"version": "v1"
}
] |
2010-04-07
|
[
[
"Graham",
"C. Robin",
""
],
[
"Witten",
"Edward",
""
]
] |
We analyze the conformal invariance of submanifold observables associated with $k$-branes in the AdS/CFT correspondence. For odd $k$, the resulting observables are conformally invariant, and for even $k$, they transform with a conformal anomaly that is given by a local expression which we analyze in detail for $k=2$
| 6.083036
| 5.566742
| 6.513128
| 6.060339
| 5.323158
| 5.298091
| 5.529905
| 5.529855
| 5.517145
| 6.659738
| 5.392045
| 5.798735
| 6.404627
| 5.785528
| 5.290045
| 5.678901
| 5.584888
| 5.811069
| 5.75933
| 6.604225
| 5.531951
|
hep-th/0312309
|
Axel Krause
|
Axel Krause (Maryland U.)
|
On the Bekenstein-Hawking Entropy, Non-Commutative Branes and
Logarithmic Corrections
|
17 pages, 2 figures; refs. added
|
Int.J.Mod.Phys.A21:4449-4461,2006
|
10.1142/S0217751X06033878
|
UMD-PP-04-014
|
hep-th
| null |
We extend earlier work on the origin of the Bekenstein-Hawking entropy to
higher-dimensional spacetimes. The mechanism of counting states is shown to
work for all spacetimes associated with a Euclidean doublet
$(E_1,M_1)+(E_2,M_2)$ of electric-magnetic dual brane pairs of type II
string-theory or M-theory wrapping the spacetime's event horizon plus the
complete internal compactification space. Non-Commutativity on the brane
worldvolume enters the derivation of the Bekenstein-Hawking entropy in a
natural way. Moreover, a logarithmic entropy correction with prefactor 1/2 is
derived.
|
[
{
"created": "Tue, 30 Dec 2003 17:05:35 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2004 22:47:28 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Jun 2006 22:01:51 GMT",
"version": "v3"
}
] |
2011-07-19
|
[
[
"Krause",
"Axel",
"",
"Maryland U."
]
] |
We extend earlier work on the origin of the Bekenstein-Hawking entropy to higher-dimensional spacetimes. The mechanism of counting states is shown to work for all spacetimes associated with a Euclidean doublet $(E_1,M_1)+(E_2,M_2)$ of electric-magnetic dual brane pairs of type II string-theory or M-theory wrapping the spacetime's event horizon plus the complete internal compactification space. Non-Commutativity on the brane worldvolume enters the derivation of the Bekenstein-Hawking entropy in a natural way. Moreover, a logarithmic entropy correction with prefactor 1/2 is derived.
| 12.266746
| 12.454415
| 12.399402
| 10.97832
| 10.941434
| 12.023765
| 12.237902
| 10.562117
| 11.510982
| 12.187
| 10.379134
| 11.078248
| 11.409778
| 10.711287
| 10.392479
| 11.291275
| 11.173212
| 11.024554
| 11.252666
| 11.527536
| 11.103246
|
hep-th/0107104
|
Amitabha Lahiri
|
Amitabha Lahiri (Bose Ctr., Kolkata)
|
Gauge transformations of the non-Abelian two-form
|
ReVTeX3.1, 4 pages
|
Mod.Phys.Lett. A17 (2002) 1643-1650
|
10.1142/S0217732302007752
| null |
hep-th
| null |
A novel inhomogeneous gauge transformation law is proposed for a non-Abelian
adjoint two-form in four dimensions. Rules for constructing actions invariant
under this are given. The auxiliary vector field which appears in some of these
models transforms like a second connection in the theory. Another local
symmetry leaves the compensated three-form field strength invariant, but does
not seem to be generated by any combination of local constraints. Both types of
symmetries change the action by total divergences, suggesting that boundary
degrees of freedom have to be taken into account for local quantization.
|
[
{
"created": "Thu, 12 Jul 2001 13:52:42 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Lahiri",
"Amitabha",
"",
"Bose Ctr., Kolkata"
]
] |
A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these models transforms like a second connection in the theory. Another local symmetry leaves the compensated three-form field strength invariant, but does not seem to be generated by any combination of local constraints. Both types of symmetries change the action by total divergences, suggesting that boundary degrees of freedom have to be taken into account for local quantization.
| 18.830475
| 16.073563
| 20.858955
| 18.224327
| 19.716373
| 14.970212
| 18.696224
| 19.316063
| 16.323175
| 25.157421
| 17.425983
| 16.814859
| 19.454582
| 17.78948
| 17.889414
| 16.711475
| 16.604338
| 17.114254
| 17.049337
| 19.369484
| 16.70063
|
hep-th/0103174
|
Masato Arai
|
Masato Arai and Nobuchika Okada
|
Potential analysis of N=2 SUSY gauge theory with the Fayet-Iliopoulos
term
|
8 pages, Latex. Contribution to the proceedings of the D.V.Volkov's
memorial conference ``Supersymmetry and Quantum Field Theory'', Kharkov, July
25-29,2000, to be published in Nuclear Physics B Conference Supplements
|
Nucl.Phys.Proc.Suppl.102:219-226,2001
|
10.1016/S0920-5632(01)01559-6
|
KEK-TH-751
|
hep-th
| null |
We analyze the vacuum structure of spontaneously broken N=2 supersymmetric
gauge theory with the Fayet-Iliopoulos term. Our theory is based on the gauge
group SU(2) \times U(1) with N_f=2 massless quark hypermultiplets having the
same U(1) charges. In the classical potential, there are degenerate vacua even
in the absence of supersymmetry. It is shown that this vacuum degeneracy is
smoothed out, once quantum corrections are taken into account. While there is
the runaway direction in the effective potential, we found the promising
possibility that there appears the local minimum with broken supersymmetry at
the degenerate dyon point.
|
[
{
"created": "Wed, 21 Mar 2001 05:11:37 GMT",
"version": "v1"
}
] |
2011-08-11
|
[
[
"Arai",
"Masato",
""
],
[
"Okada",
"Nobuchika",
""
]
] |
We analyze the vacuum structure of spontaneously broken N=2 supersymmetric gauge theory with the Fayet-Iliopoulos term. Our theory is based on the gauge group SU(2) \times U(1) with N_f=2 massless quark hypermultiplets having the same U(1) charges. In the classical potential, there are degenerate vacua even in the absence of supersymmetry. It is shown that this vacuum degeneracy is smoothed out, once quantum corrections are taken into account. While there is the runaway direction in the effective potential, we found the promising possibility that there appears the local minimum with broken supersymmetry at the degenerate dyon point.
| 6.935524
| 4.827644
| 6.687212
| 5.654476
| 5.055717
| 4.888954
| 4.865129
| 5.003255
| 5.467045
| 7.087266
| 5.336021
| 6.35025
| 6.712325
| 6.123917
| 6.169437
| 6.047313
| 6.117652
| 6.212437
| 6.233984
| 6.783553
| 6.205702
|
1004.0098
|
Sujay Ashok
|
Sujay K. Ashok and Nemani V. Suryanarayana
|
Supersymmetric Electromagnetic Waves on Giants and Dual-Giants
|
18 pages
| null |
10.1007/JHEP05(2012)074
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We set up the BPS equations for a D3-brane moving in AdS_5 \times S^5 which
preserves two supercharges and with all bosonic fields turned on in the
world-volume theory. By solving these, we find generalizations of Mikhailov
giants and wobbling dual-giants that include electromagnetic waves propagating
on their world-volume. For these giants (dual-giants) we show that the BPS
field strength is the real part of the pull-back of a holomorphic 2-form in the
ambient space C^3 (C^{1,2}) onto the world-volume.
|
[
{
"created": "Thu, 1 Apr 2010 10:10:54 GMT",
"version": "v1"
}
] |
2015-05-18
|
[
[
"Ashok",
"Sujay K.",
""
],
[
"Suryanarayana",
"Nemani V.",
""
]
] |
We set up the BPS equations for a D3-brane moving in AdS_5 \times S^5 which preserves two supercharges and with all bosonic fields turned on in the world-volume theory. By solving these, we find generalizations of Mikhailov giants and wobbling dual-giants that include electromagnetic waves propagating on their world-volume. For these giants (dual-giants) we show that the BPS field strength is the real part of the pull-back of a holomorphic 2-form in the ambient space C^3 (C^{1,2}) onto the world-volume.
| 11.551629
| 9.934832
| 12.597775
| 9.231748
| 9.787785
| 8.409148
| 9.038799
| 9.718003
| 9.366319
| 12.166926
| 8.88047
| 9.701583
| 10.653584
| 9.45055
| 9.678701
| 9.721981
| 9.44177
| 9.573226
| 9.464287
| 10.87913
| 9.841151
|
1603.02956
|
Guillermo Ballesteros
|
Guillermo Ballesteros, Denis Comelli, Luigi Pilo
|
Massive and modified gravity as self-gravitating media
|
41 pages, new section, to appear in Phys. Rev. D
|
Phys. Rev. D 94, 124023 (2016)
|
10.1103/PhysRevD.94.124023
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the effective field theory that describes the low-energy physics of
self-gravitating media. The field content consists of four derivatively coupled
scalar fields that can be identified with the internal comoving coordinates of
the medium. Imposing SO(3) internal spatial invariance, the theory describes
supersolids. Stronger symmetry requirements lead to superfluids, solids and
perfect fluids, at lowest order in derivatives. In the unitary gauge, massive
gravity emerges, being thus the result of a continuous medium propagating in
spacetime. Our results can be used to explore systematically the effects and
signatures of modifying gravity consistently at large distances. The dark
sector is then described as a self-gravitating medium with dynamical and
thermodynamic properties dictated by internal symmetries. These results
indicate that the divide between dark energy and modified gravity, at large
distance scales, is simply a gauge choice.
|
[
{
"created": "Wed, 9 Mar 2016 16:43:39 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 2016 11:14:01 GMT",
"version": "v2"
}
] |
2016-12-28
|
[
[
"Ballesteros",
"Guillermo",
""
],
[
"Comelli",
"Denis",
""
],
[
"Pilo",
"Luigi",
""
]
] |
We study the effective field theory that describes the low-energy physics of self-gravitating media. The field content consists of four derivatively coupled scalar fields that can be identified with the internal comoving coordinates of the medium. Imposing SO(3) internal spatial invariance, the theory describes supersolids. Stronger symmetry requirements lead to superfluids, solids and perfect fluids, at lowest order in derivatives. In the unitary gauge, massive gravity emerges, being thus the result of a continuous medium propagating in spacetime. Our results can be used to explore systematically the effects and signatures of modifying gravity consistently at large distances. The dark sector is then described as a self-gravitating medium with dynamical and thermodynamic properties dictated by internal symmetries. These results indicate that the divide between dark energy and modified gravity, at large distance scales, is simply a gauge choice.
| 12.044411
| 13.739511
| 12.505184
| 11.617156
| 13.003
| 12.774117
| 12.608491
| 11.144745
| 12.780777
| 12.538278
| 11.99403
| 12.466739
| 12.021332
| 11.958245
| 12.14517
| 12.021403
| 11.691921
| 11.78333
| 11.983558
| 12.368371
| 12.038123
|
hep-th/0103060
|
M. D. Maia
|
M. D. Maia & E. M. Monte
|
Geometric Stability of Brane-worlds
|
8 pages revtex, twocolumn, no figures
| null | null | null |
hep-th gr-qc
| null |
The stability conditions for coordinate gauge independent perturbations of
brane-worlds are analyzed. It is shown that, these conditions lead to the
Einstein-Hilbert dynamics and to a confined gauge potential, independently of
models and metric ansatzes. The size of the extra dimensions are estimated
without assuming a fixed topology. The quantum modes corresponding to high
frequency gravitational waves are defined through a canonical structure.
|
[
{
"created": "Fri, 9 Mar 2001 12:41:15 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Maia",
"M. D.",
""
],
[
"Monte",
"E. M.",
""
]
] |
The stability conditions for coordinate gauge independent perturbations of brane-worlds are analyzed. It is shown that, these conditions lead to the Einstein-Hilbert dynamics and to a confined gauge potential, independently of models and metric ansatzes. The size of the extra dimensions are estimated without assuming a fixed topology. The quantum modes corresponding to high frequency gravitational waves are defined through a canonical structure.
| 26.994587
| 28.353937
| 24.234396
| 23.658146
| 25.706968
| 25.054956
| 27.063902
| 24.802883
| 24.405821
| 25.434042
| 23.74996
| 26.225237
| 25.09239
| 24.532543
| 25.315742
| 25.397823
| 26.197721
| 24.31838
| 25.880159
| 25.587297
| 23.865925
|
2111.12765
|
Enrico Maria Malatesta
|
Ludovico T. Giorgini, Ulrich D. Jentschura, Enrico M. Malatesta,
Giorgio Parisi, Tommaso Rizzo, Jean Zinn-Justin
|
Correlation Functions of the Anharmonic Oscillator: Numerical
Verification of Two-Loop Corrections to the Large-Order Behavior
|
18 pages, 4 figures
| null |
10.1103/PhysRevD.105.105012
| null |
hep-th cond-mat.dis-nn cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, the large-order behavior of correlation functions of the
$O(N)$-anharmonic oscillator has been analyzed by us in [L. T. Giorgini et el.,
Phys. Rev. D 101, 125001 (2020)]. Two-loop corrections about the instanton
configurations were obtained for the partition function, and the two-point and
four-point functions, and the derivative of the two-point function at zero
momentum transfer. Here, we attempt to verify the obtained analytic results
against numerical calculations of higher-order coefficients for the $O(1)$,
$O(2)$, and $O(3)$ oscillators, and demonstrate the drastic improvement of the
agreement of the large-order asymptotic estimates and perturbation theory upon
the inclusion of the two-loop corrections to the large-order behavior.
|
[
{
"created": "Wed, 24 Nov 2021 19:54:21 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 2021 15:26:52 GMT",
"version": "v2"
}
] |
2022-06-01
|
[
[
"Giorgini",
"Ludovico T.",
""
],
[
"Jentschura",
"Ulrich D.",
""
],
[
"Malatesta",
"Enrico M.",
""
],
[
"Parisi",
"Giorgio",
""
],
[
"Rizzo",
"Tommaso",
""
],
[
"Zinn-Justin",
"Jean",
""
]
] |
Recently, the large-order behavior of correlation functions of the $O(N)$-anharmonic oscillator has been analyzed by us in [L. T. Giorgini et el., Phys. Rev. D 101, 125001 (2020)]. Two-loop corrections about the instanton configurations were obtained for the partition function, and the two-point and four-point functions, and the derivative of the two-point function at zero momentum transfer. Here, we attempt to verify the obtained analytic results against numerical calculations of higher-order coefficients for the $O(1)$, $O(2)$, and $O(3)$ oscillators, and demonstrate the drastic improvement of the agreement of the large-order asymptotic estimates and perturbation theory upon the inclusion of the two-loop corrections to the large-order behavior.
| 8.136031
| 8.363698
| 8.46924
| 8.048072
| 9.163104
| 8.595827
| 8.956493
| 8.567679
| 7.925269
| 10.56954
| 7.958885
| 7.986228
| 8.199561
| 7.623565
| 7.722372
| 7.861138
| 8.262327
| 7.554583
| 7.680963
| 8.074032
| 8.044072
|
2205.06869
|
Azadeh Mohammadi
|
Jo\~ao G. F. Campos and Azadeh Mohammadi
|
Kink-antikink collision in the supersymmetric $\phi^4$ model
| null | null |
10.1007/JHEP08(2022)180
| null |
hep-th nlin.PS
|
http://creativecommons.org/licenses/by/4.0/
|
This paper investigates a model containing $\phi^4$ kinks interacting with
fermions. The fermion back-reaction is included in the equations of motion,
which affects the kink-antikink collisions. We show that the fermion field
generates a force that can be either attractive or repulsive. Moreover, we
investigate three different scenarios, which exhibit a wide variety of
behaviors including the usual scenarios observed in the $\phi^4$ model as well
as the formation of two oscillons, reflection without contact, one-bounce
resonance windows, and the creation of kink-antikink pairs. We also find
evidence that the fermion field can store part of the energy responsible for
the energy exchange mechanism.
|
[
{
"created": "Fri, 13 May 2022 19:57:11 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Dec 2022 18:48:11 GMT",
"version": "v2"
}
] |
2022-12-09
|
[
[
"Campos",
"João G. F.",
""
],
[
"Mohammadi",
"Azadeh",
""
]
] |
This paper investigates a model containing $\phi^4$ kinks interacting with fermions. The fermion back-reaction is included in the equations of motion, which affects the kink-antikink collisions. We show that the fermion field generates a force that can be either attractive or repulsive. Moreover, we investigate three different scenarios, which exhibit a wide variety of behaviors including the usual scenarios observed in the $\phi^4$ model as well as the formation of two oscillons, reflection without contact, one-bounce resonance windows, and the creation of kink-antikink pairs. We also find evidence that the fermion field can store part of the energy responsible for the energy exchange mechanism.
| 10.021017
| 7.313881
| 9.254395
| 7.992485
| 7.712109
| 7.882086
| 8.448565
| 7.673764
| 7.984965
| 10.836538
| 7.93574
| 8.392624
| 9.393963
| 8.667238
| 8.361945
| 8.315003
| 8.631797
| 8.37129
| 8.954507
| 9.225189
| 8.615887
|
hep-th/0105114
|
Dumitru Baleanu
|
Dumitru Baleanu, Yurdahan Guler
|
Multi Hamilton-Jacobi quantization of O(3) nonlinear sigma model
|
10 pages, LaTeX, to be published in Mod. Phys. Lett. A
|
Mod.Phys.Lett. A16 (2001) 873-880
|
10.1142/S0217732301004157
|
CU-MBB-10/2001
|
hep-th
| null |
The O(3) non-linear sigma model is investigated using multi Hamilton-Jacobi
formalism. The integrability conditions are investigated and the results are in
agreement with those obtained by Dirac's method. By choosing an adequate
extension of phase space we describe the transformed system by a set of three
Hamilton-Jacobi equations and calculate the corresponding action.
|
[
{
"created": "Sat, 12 May 2001 17:51:10 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Baleanu",
"Dumitru",
""
],
[
"Guler",
"Yurdahan",
""
]
] |
The O(3) non-linear sigma model is investigated using multi Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method. By choosing an adequate extension of phase space we describe the transformed system by a set of three Hamilton-Jacobi equations and calculate the corresponding action.
| 23.084009
| 12.708647
| 12.689978
| 10.908592
| 12.829159
| 10.921038
| 12.148292
| 11.473598
| 12.470633
| 13.817799
| 10.946173
| 10.976083
| 12.136738
| 11.416935
| 11.293736
| 10.680648
| 10.609081
| 10.845189
| 11.511215
| 12.019555
| 10.509317
|
0911.4274
|
Olaf Hohm
|
Daniel Grumiller, Olaf Hohm
|
AdS_3/LCFT_2 - Correlators in New Massive Gravity
|
10 pages, v2: incorrect statement in conclusions deleted, reference
added, v3: version to appear in Phys. Lett. B
|
Phys.Lett.B686:264-267,2010
|
10.1016/j.physletb.2010.02.065
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate 2-point correlators for New Massive Gravity at the chiral point
and find that they behave precisely as those of a logarithmic conformal field
theory, which is characterized in addition to the central charges c_L = c_R = 0
by `new anomalies' b_L = b_R = -\sigma\frac{12\ell}{G_N}, where \sigma is the
sign of the Einstein-Hilbert term, \ell the AdS radius and G_N Newton's
constant.
|
[
{
"created": "Mon, 23 Nov 2009 19:17:47 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Dec 2009 18:18:05 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Mar 2010 14:49:51 GMT",
"version": "v3"
}
] |
2014-11-20
|
[
[
"Grumiller",
"Daniel",
""
],
[
"Hohm",
"Olaf",
""
]
] |
We calculate 2-point correlators for New Massive Gravity at the chiral point and find that they behave precisely as those of a logarithmic conformal field theory, which is characterized in addition to the central charges c_L = c_R = 0 by `new anomalies' b_L = b_R = -\sigma\frac{12\ell}{G_N}, where \sigma is the sign of the Einstein-Hilbert term, \ell the AdS radius and G_N Newton's constant.
| 8.068502
| 6.919931
| 9.228895
| 6.405047
| 7.28282
| 7.166014
| 7.121676
| 6.811829
| 6.889296
| 9.185697
| 6.793616
| 7.080544
| 7.841853
| 6.869596
| 7.188899
| 7.204985
| 7.185033
| 6.981083
| 7.076661
| 7.994543
| 7.039733
|
hep-th/9201054
| null |
Michael B. Green
|
Temperature Dependence of String Theory in the Presence of World-Sheet
Boundaries
|
13 pages
|
Phys.Lett.B282:380-386,1992
|
10.1016/0370-2693(92)90656-O
| null |
hep-th
| null |
The effect of world-sheet boundaries on the temperature-dependence of bosonic
string theory is studied to first order in string perturbation theory. The
high- temperature behaviour of a theory with Dirichlet boundary conditions has
features suggestive of the high-temperature limit of the confining phase of
large-$n$ $SU(n)$ Yang--Mills theory, recently discussed by Polchinski.
|
[
{
"created": "Mon, 27 Jan 1992 09:24:07 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jan 1992 12:43:49 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Green",
"Michael B.",
""
]
] |
The effect of world-sheet boundaries on the temperature-dependence of bosonic string theory is studied to first order in string perturbation theory. The high- temperature behaviour of a theory with Dirichlet boundary conditions has features suggestive of the high-temperature limit of the confining phase of large-$n$ $SU(n)$ Yang--Mills theory, recently discussed by Polchinski.
| 9.987587
| 7.909663
| 9.511191
| 7.46181
| 7.772964
| 7.685821
| 8.276104
| 8.037458
| 7.364608
| 8.685283
| 7.740194
| 8.34513
| 8.917377
| 8.457264
| 8.143777
| 7.872454
| 8.17689
| 8.381092
| 8.424171
| 8.774809
| 8.158303
|
hep-th/9911192
|
Gesualdo Delfino
|
G. Delfino
|
Correlators in integrable quantum field theory. The scaling RSOS models
|
22 pages, latex
|
Nucl.Phys. B583 (2000) 597-613
|
10.1016/S0550-3213(00)00324-2
| null |
hep-th cond-mat
| null |
The study of the scaling limit of two-dimensional models of statistical
mechanics within the framework of integrable field theory is illustrated
through the example of the RSOS models. Starting from the exact description of
regime III in terms of colliding particles, we compute the correlation
functions of the thermal, $\phi_{1,2}$ and (for some cases) spin operators in
the two-particle approximation. The accuracy obtained for the moments of these
correlators is analysed by computing the central charge and the scaling
dimensions and comparing with the exact results. We further consider the
(generally non-integrable) perturbation of the critical points with both the
operators $\phi_{1,3}$ and $\phi_{1,2}$ and locate the branches solved on the
lattice within the associated two-dimensional phase diagram. Finally we discuss
the fact that the RSOS models, the dilute $q$-state Potts model at and the O(n)
vector model are all described by the same perturbed conformal field theory.
|
[
{
"created": "Wed, 24 Nov 1999 15:13:44 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Delfino",
"G.",
""
]
] |
The study of the scaling limit of two-dimensional models of statistical mechanics within the framework of integrable field theory is illustrated through the example of the RSOS models. Starting from the exact description of regime III in terms of colliding particles, we compute the correlation functions of the thermal, $\phi_{1,2}$ and (for some cases) spin operators in the two-particle approximation. The accuracy obtained for the moments of these correlators is analysed by computing the central charge and the scaling dimensions and comparing with the exact results. We further consider the (generally non-integrable) perturbation of the critical points with both the operators $\phi_{1,3}$ and $\phi_{1,2}$ and locate the branches solved on the lattice within the associated two-dimensional phase diagram. Finally we discuss the fact that the RSOS models, the dilute $q$-state Potts model at and the O(n) vector model are all described by the same perturbed conformal field theory.
| 9.980048
| 9.95453
| 13.142259
| 9.568071
| 9.878787
| 10.157855
| 10.433447
| 10.013514
| 9.983669
| 13.346574
| 9.319747
| 9.520041
| 10.02667
| 9.353995
| 9.571745
| 9.662617
| 9.730346
| 9.396826
| 9.524829
| 10.181039
| 9.35862
|
hep-th/0304211
|
Troost Jan
|
Jan Troost and Asato Tsuchiya
|
Three-dimensional black hole entropy
|
20 pages, 2 figures; v2: error corrected, conclusions changed
|
JHEP 0306 (2003) 029
|
10.1088/1126-6708/2003/06/029
| null |
hep-th
| null |
We discuss in detail the properties of gravity with a negative cosmological
constant as viewed in Cherns-Simons theory on a line times a disc. We reanalyze
the problem of computing the BTZ entropy, and show how the demand of unitarity
and modular invariance of the boundary conformal field theory severely
constrain proposals in this framework.
|
[
{
"created": "Thu, 24 Apr 2003 21:59:21 GMT",
"version": "v1"
},
{
"created": "Sat, 3 May 2003 17:24:53 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Troost",
"Jan",
""
],
[
"Tsuchiya",
"Asato",
""
]
] |
We discuss in detail the properties of gravity with a negative cosmological constant as viewed in Cherns-Simons theory on a line times a disc. We reanalyze the problem of computing the BTZ entropy, and show how the demand of unitarity and modular invariance of the boundary conformal field theory severely constrain proposals in this framework.
| 15.684555
| 16.540909
| 16.11347
| 15.301794
| 15.854395
| 17.765743
| 16.560856
| 15.141747
| 15.284932
| 17.099237
| 15.893395
| 16.001057
| 16.366583
| 15.564382
| 14.783508
| 15.277844
| 15.31489
| 15.174819
| 15.763604
| 15.923137
| 15.08374
|
1105.6300
|
Xiang-Song Chen
|
Xiang-Song Chen, Ben-Chao Zhu, Niall \'O Murchadha
|
Spin and orbital angular momentum of the tensor gauge field
|
10 pages, no figure
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the recent studies of the trickiness in spin and orbital angular
momentum of the vector gauge fields, we perform here a parallel analysis for
the tensor gauge field, which has certain relation to gravitation. Similarly to
the vector case, we find a nice feature that after removing all gauge degrees
of freedom the angular momentum of the tensor gauge field vanishes for a
stationary system. This angular momentum also shows a one-parameter invariance
over the infinitely many ways of complete gauge fixing for the tensor field.
The tensor gauge coupling, however, does exhibit a critical difference from the
vector gauge coupling that it may induce intrinsic interaction terms into the
spatial translation and rotation generators, leaving none of the ten Poincar\'e
generators interaction-free.
|
[
{
"created": "Tue, 31 May 2011 14:30:22 GMT",
"version": "v1"
}
] |
2011-06-01
|
[
[
"Chen",
"Xiang-Song",
""
],
[
"Zhu",
"Ben-Chao",
""
],
[
"Murchadha",
"Niall Ó",
""
]
] |
Following the recent studies of the trickiness in spin and orbital angular momentum of the vector gauge fields, we perform here a parallel analysis for the tensor gauge field, which has certain relation to gravitation. Similarly to the vector case, we find a nice feature that after removing all gauge degrees of freedom the angular momentum of the tensor gauge field vanishes for a stationary system. This angular momentum also shows a one-parameter invariance over the infinitely many ways of complete gauge fixing for the tensor field. The tensor gauge coupling, however, does exhibit a critical difference from the vector gauge coupling that it may induce intrinsic interaction terms into the spatial translation and rotation generators, leaving none of the ten Poincar\'e generators interaction-free.
| 19.082661
| 18.826063
| 16.365974
| 17.342922
| 17.820944
| 17.14753
| 18.73012
| 17.673794
| 17.976568
| 18.811686
| 16.937208
| 16.704874
| 17.524937
| 17.463785
| 16.684284
| 17.143646
| 17.148817
| 16.519041
| 17.148993
| 16.772003
| 17.007387
|
hep-th/9210128
|
Michel Talon
|
J. Avan and M. Talon
|
Classical R-matrix structure for the Calogero model
|
Latex file 9 pages
|
Phys.Lett. B303 (1993) 33-37
|
10.1016/0370-2693(93)90039-K
| null |
hep-th
| null |
A classical R-matrix structure is described for the Lax representation of the
integrable n-particle chains of Calogero-Olshanetski-Perelo\-mov. This R-matrix
is dynamical, non antisymmetric and non-invertible. It immediately triggers the
integrability of the Type I, II and III potentials, and the algebraic
structures associated with the Type V potential.
|
[
{
"created": "Fri, 23 Oct 1992 15:50:01 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Avan",
"J.",
""
],
[
"Talon",
"M.",
""
]
] |
A classical R-matrix structure is described for the Lax representation of the integrable n-particle chains of Calogero-Olshanetski-Perelo\-mov. This R-matrix is dynamical, non antisymmetric and non-invertible. It immediately triggers the integrability of the Type I, II and III potentials, and the algebraic structures associated with the Type V potential.
| 18.631464
| 21.504442
| 24.050982
| 16.055153
| 19.477016
| 20.551161
| 18.248955
| 20.105412
| 20.229933
| 28.699594
| 18.076542
| 16.734663
| 20.093349
| 16.972672
| 17.172209
| 17.605682
| 16.571136
| 16.328791
| 16.341709
| 19.170763
| 16.018536
|
hep-th/0104188
|
Bodo Geyer
|
Bodo Geyer and Dietmar M\"ulsch
|
Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central
extension
|
37 pages, AMSTEX
|
Nucl.Phys. B616 (2001) 437-475
|
10.1016/S0550-3213(01)00466-7
|
U Leipzig, NTZ 04/2001
|
hep-th
| null |
We study the renormalizability of (massive) topological QCD based on the
algebraic BRST technique by adopting a non-covariant Landau type gauge and
making use of the full topological superalgebra. The most general local counter
terms are determined and it is shown that in the presence of central charges
the BRST cohomology remains trivial. By imposing an additional set of stability
constraints it is proven that the matter action of topological QCD is
perturbatively finite.
|
[
{
"created": "Mon, 23 Apr 2001 13:10:41 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Geyer",
"Bodo",
""
],
[
"Mülsch",
"Dietmar",
""
]
] |
We study the renormalizability of (massive) topological QCD based on the algebraic BRST technique by adopting a non-covariant Landau type gauge and making use of the full topological superalgebra. The most general local counter terms are determined and it is shown that in the presence of central charges the BRST cohomology remains trivial. By imposing an additional set of stability constraints it is proven that the matter action of topological QCD is perturbatively finite.
| 12.892993
| 12.304036
| 12.746769
| 10.589135
| 11.822447
| 13.253655
| 11.624385
| 12.788811
| 11.436416
| 13.573032
| 11.246059
| 11.738944
| 11.822411
| 11.203638
| 11.305082
| 11.747495
| 11.763112
| 11.655781
| 11.113564
| 11.494568
| 11.020289
|
hep-th/9807189
|
Delius
|
Gustav W. Delius
|
Restricting affine Toda theory to the half-line
|
39 pages, 4 ps figures
|
JHEP 9809:016,1998
|
10.1088/1126-6708/1998/09/016
| null |
hep-th math-ph math.MP nlin.SI solv-int
| null |
We restrict affine Toda field theory to the half-line by imposing certain
boundary conditions at $x=0$. The resulting theory possesses the same spectrum
of solitons and breathers as affine Toda theory on the whole line. The
classical solutions describing the reflection of these particles off the
boundary are obtained from those on the whole line by a kind of method of
mirror images. Depending on the boundary condition chosen, the mirror must be
placed either at, in front, or behind the boundary. We observe that incoming
solitons are converted into outgoing antisolitons during reflection. Neumann
boundary conditions allow additional solutions which are interpreted as
boundary excitations (boundary breathers). For $a_n^{(1)}$ and $c_n^{(1)}$ Toda
theories, on which we concentrate mostly, the boundary conditions which we
study are among the integrable boundary conditions classified by Corrigan
et.al. As applications of our work we study the vacuum solutions of real
coupling Toda theory on the half-line and we perform semiclassical calculations
which support recent conjectures for the $a_2^{(1)}$ soliton reflection
matrices by Gandenberger.
|
[
{
"created": "Mon, 27 Jul 1998 06:58:14 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Delius",
"Gustav W.",
""
]
] |
We restrict affine Toda field theory to the half-line by imposing certain boundary conditions at $x=0$. The resulting theory possesses the same spectrum of solitons and breathers as affine Toda theory on the whole line. The classical solutions describing the reflection of these particles off the boundary are obtained from those on the whole line by a kind of method of mirror images. Depending on the boundary condition chosen, the mirror must be placed either at, in front, or behind the boundary. We observe that incoming solitons are converted into outgoing antisolitons during reflection. Neumann boundary conditions allow additional solutions which are interpreted as boundary excitations (boundary breathers). For $a_n^{(1)}$ and $c_n^{(1)}$ Toda theories, on which we concentrate mostly, the boundary conditions which we study are among the integrable boundary conditions classified by Corrigan et.al. As applications of our work we study the vacuum solutions of real coupling Toda theory on the half-line and we perform semiclassical calculations which support recent conjectures for the $a_2^{(1)}$ soliton reflection matrices by Gandenberger.
| 8.558772
| 9.100057
| 10.395665
| 8.10793
| 9.222919
| 8.657771
| 9.467772
| 8.301423
| 8.337901
| 11.435383
| 8.360833
| 8.282337
| 8.788217
| 8.097789
| 8.140984
| 8.157496
| 8.442996
| 7.840016
| 7.932821
| 8.825007
| 7.825225
|
1708.08654
|
Mohammad Hassan Vahidinia
|
S.M. Noorbakhsh and M.H. Vahidinia
|
Extremal Vanishing Horizon Kerr-AdS Black Holes at Ultraspinning Limit
|
29 pages, 3 figures, references added, typos corrected, revised
version to match published version
|
JHEP 1801 (2018) 042
|
10.1007/JHEP01(2018)042
|
IPM/P-2017/093
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By utilizing the ultraspinning limit we generate a new class of extremal
vanishing horizon (EVH) black holes in odd dimensions ($d\geq5$). Starting from
the general multi-spinning Kerr-AdS metrics, we show the EVH limit commutes
with the ultraspinning limit, in which the resulting solutions possess a
non-compact but finite area manifold for all $(t,r\neq r_+)=const.$ slices. We
also demonstrate the near horizon geometries of obtained ultraspinning EVH
solutions contain an AdS$_3$ throats, where it would be a BTZ black hole in the
near EVH cases. The commutativity of the ultraspinning and near horizon limits
for EVH solutions is confirmed as well. Furthermore, we discuss only the
five-dimensional case near the EVH point can be viewed as a super-entropic
black hole. We also show that the thermodynamics of the obtained solutions
agree with the BTZ black hole. Moreover we investigate the EVH/CFT proposal,
demonstrating the entropy of $2$d dual CFT and Bekenstein-Hawking entropy are
equivalent.
|
[
{
"created": "Tue, 29 Aug 2017 09:23:07 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Apr 2019 12:37:17 GMT",
"version": "v2"
}
] |
2019-04-09
|
[
[
"Noorbakhsh",
"S. M.",
""
],
[
"Vahidinia",
"M. H.",
""
]
] |
By utilizing the ultraspinning limit we generate a new class of extremal vanishing horizon (EVH) black holes in odd dimensions ($d\geq5$). Starting from the general multi-spinning Kerr-AdS metrics, we show the EVH limit commutes with the ultraspinning limit, in which the resulting solutions possess a non-compact but finite area manifold for all $(t,r\neq r_+)=const.$ slices. We also demonstrate the near horizon geometries of obtained ultraspinning EVH solutions contain an AdS$_3$ throats, where it would be a BTZ black hole in the near EVH cases. The commutativity of the ultraspinning and near horizon limits for EVH solutions is confirmed as well. Furthermore, we discuss only the five-dimensional case near the EVH point can be viewed as a super-entropic black hole. We also show that the thermodynamics of the obtained solutions agree with the BTZ black hole. Moreover we investigate the EVH/CFT proposal, demonstrating the entropy of $2$d dual CFT and Bekenstein-Hawking entropy are equivalent.
| 10.502567
| 9.002007
| 9.922514
| 8.962842
| 10.536624
| 9.554625
| 10.071722
| 9.365278
| 9.335564
| 11.948194
| 9.557775
| 9.794283
| 10.021139
| 9.815116
| 10.150053
| 10.1718
| 9.923604
| 9.646746
| 9.798769
| 10.420351
| 9.591286
|
0901.0577
|
Ali Chamseddine
|
Ali H. Chamseddine
|
Noncommutative Geometry as the Key to Unlock the Secrets of Space-Time
|
Contribution to a special volume in honor of Alain Connes in occasion
of his 60th birthday. To be published in the Proceedings series of the Clay
Mathematics Institute. Editors E. Blanchard et al
| null | null |
Clay Math.Proc. 11 (2010) 127-148
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I give a summary of the progress made on using the elegant construction of
Alain Connes noncommutaive geometry to explore the nature of space-time at very
high energies. In particular I show that by making very few natural and weak
assumptions about the structure of the noncommutative space, one can deduce the
structure of all fundamental interactions at low energies.
|
[
{
"created": "Tue, 6 Jan 2009 11:14:21 GMT",
"version": "v1"
}
] |
2019-08-20
|
[
[
"Chamseddine",
"Ali H.",
""
]
] |
I give a summary of the progress made on using the elegant construction of Alain Connes noncommutaive geometry to explore the nature of space-time at very high energies. In particular I show that by making very few natural and weak assumptions about the structure of the noncommutative space, one can deduce the structure of all fundamental interactions at low energies.
| 12.958468
| 10.853241
| 10.13302
| 9.751101
| 11.469851
| 10.663733
| 10.115768
| 9.924716
| 9.747222
| 12.343069
| 9.921784
| 10.136191
| 11.463937
| 10.151919
| 10.648504
| 10.236317
| 10.569904
| 10.217361
| 9.939923
| 10.887325
| 10.595772
|
hep-th/9906223
|
Itzhak Bars
|
I. Bars, C. Deliduman, D. Minic
|
Strings, Branes and Two-Time Physics
|
Latex, 12 pages
|
Phys.Lett. B466 (1999) 135-143
|
10.1016/S0370-2693(99)01127-2
|
USC-99/HEP-B2
|
hep-th
| null |
We generalize the ideas and formalism of Two-Time Physics from particle
dynamics to some specific examples of string and p-brane (p >= 1) dynamics. The
two-time string or p-brane action can be gauge fixed to produce various
one-time string or p-brane actions that are dual to each other under gauge
transformations. We discuss the particular gauges that correspond to
tensionless strings and p-branes in flat (d-1)+1 spacetime, rigid strings and
p-branes in flat (d-1)+1 spacetime, and tensionless strings and p-branes
propagating in the AdS_{d-n} x S^n backgrounds.
|
[
{
"created": "Mon, 28 Jun 1999 23:59:00 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bars",
"I.",
""
],
[
"Deliduman",
"C.",
""
],
[
"Minic",
"D.",
""
]
] |
We generalize the ideas and formalism of Two-Time Physics from particle dynamics to some specific examples of string and p-brane (p >= 1) dynamics. The two-time string or p-brane action can be gauge fixed to produce various one-time string or p-brane actions that are dual to each other under gauge transformations. We discuss the particular gauges that correspond to tensionless strings and p-branes in flat (d-1)+1 spacetime, rigid strings and p-branes in flat (d-1)+1 spacetime, and tensionless strings and p-branes propagating in the AdS_{d-n} x S^n backgrounds.
| 8.424558
| 6.759053
| 8.034291
| 6.839839
| 6.738537
| 6.589705
| 6.732734
| 6.924565
| 6.950001
| 7.512746
| 6.594996
| 7.212998
| 8.255356
| 7.287611
| 7.383365
| 7.530226
| 7.51411
| 7.299119
| 7.384273
| 8.187009
| 7.304421
|
hep-th/9905059
|
Yosuke Imamura
|
Yosuke Imamura
|
String junctions on backgrounds with a positively charged orientifold
plane
|
16 pages + 3 eps figures, LaTeX, a reference added
|
JHEP 9907 (1999) 024
|
10.1088/1126-6708/1999/07/024
|
YITP-99-24
|
hep-th
| null |
By means of the heterotic/type IIB duality, we study properties of junctions
on backgrounds with a positively charged orientifold seven-plane and D-branes,
which are expected to give seven dimensional Sp(r) gauge theories. We give a
modified BPS condition for the junctions and show that it reproduces the
adjoint representation of the Sp(r) group.
|
[
{
"created": "Sun, 9 May 1999 14:13:31 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Aug 1999 16:06:58 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Imamura",
"Yosuke",
""
]
] |
By means of the heterotic/type IIB duality, we study properties of junctions on backgrounds with a positively charged orientifold seven-plane and D-branes, which are expected to give seven dimensional Sp(r) gauge theories. We give a modified BPS condition for the junctions and show that it reproduces the adjoint representation of the Sp(r) group.
| 14.054996
| 13.327839
| 16.302406
| 13.135235
| 14.112856
| 13.670087
| 13.396757
| 12.523743
| 13.025277
| 18.811546
| 12.139806
| 12.967688
| 14.42079
| 12.864128
| 13.163125
| 12.590469
| 13.199466
| 12.761341
| 12.954283
| 14.148533
| 12.361272
|
hep-th/9706097
|
Juan Maldacena
|
Sergio Ferrara and Juan M. Maldacena
|
Branes, central charges and U-duality invariant BPS conditions
|
15 pages, no figures, typos corrected
|
Class.Quant.Grav. 15 (1998) 749-758
|
10.1088/0264-9381/15/4/004
| null |
hep-th
| null |
In extended supergravity theories there are $p$-brane solutions preserving
different numbers of supersymmetries, depending on the charges, the spacetime
dimension and the number of original supersymmetries (8, 16 or 32). We find
U-duality invariant conditions on the quantized charges which specify the
number of supersymmetries preserved with a particular charge configuration.
These conditions relate U-duality invariants to the picture of intersecting
branes. The analysis is carried out for all extended supergravities with 16 or
32 supersymmetries in various dimensions.
|
[
{
"created": "Thu, 12 Jun 1997 20:42:25 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 1997 14:24:32 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Maldacena",
"Juan M.",
""
]
] |
In extended supergravity theories there are $p$-brane solutions preserving different numbers of supersymmetries, depending on the charges, the spacetime dimension and the number of original supersymmetries (8, 16 or 32). We find U-duality invariant conditions on the quantized charges which specify the number of supersymmetries preserved with a particular charge configuration. These conditions relate U-duality invariants to the picture of intersecting branes. The analysis is carried out for all extended supergravities with 16 or 32 supersymmetries in various dimensions.
| 6.126482
| 6.186746
| 6.070229
| 5.929775
| 5.775106
| 6.324708
| 6.414253
| 6.128323
| 5.898131
| 7.374898
| 5.669397
| 6.119878
| 6.221191
| 5.658217
| 5.837071
| 5.755247
| 5.652239
| 5.795846
| 5.746612
| 6.452177
| 5.791623
|
2108.11742
|
Saeedeh Sadeghian
|
Hovhannes Demirchian and Saeedeh Sadeghian
|
Separability of Klein-Gordon Equation on Near Horizon Extremal
Myers-Perry Black Hole
|
7 pages, references added, minor typos fixed
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the separability of Klein-Gordon equation on near horizon of
d-dimensional rotating Myers-Perry black hole in two limits : 1) generic
extremal case and 2) extremal vanishing horizon case. In the first case , there
is a relation between the mass and rotation parameters so that black hole
temperature vanishes. In the latter case, one of the rotation parameters is
restricted to zero on top of the extremality condition. We show that the
Klein-Gordon equation is separable in both cases. Also, we solved the radial
part of that equation and discuss its behaviour in small and large r regions.
|
[
{
"created": "Thu, 26 Aug 2021 12:39:18 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Sep 2021 09:10:40 GMT",
"version": "v2"
}
] |
2021-09-07
|
[
[
"Demirchian",
"Hovhannes",
""
],
[
"Sadeghian",
"Saeedeh",
""
]
] |
We investigate the separability of Klein-Gordon equation on near horizon of d-dimensional rotating Myers-Perry black hole in two limits : 1) generic extremal case and 2) extremal vanishing horizon case. In the first case , there is a relation between the mass and rotation parameters so that black hole temperature vanishes. In the latter case, one of the rotation parameters is restricted to zero on top of the extremality condition. We show that the Klein-Gordon equation is separable in both cases. Also, we solved the radial part of that equation and discuss its behaviour in small and large r regions.
| 8.334816
| 7.440956
| 7.237691
| 7.348395
| 7.836975
| 7.979966
| 8.338816
| 7.518903
| 6.820911
| 8.517727
| 7.322251
| 7.65601
| 7.326485
| 7.238664
| 7.322268
| 7.437431
| 7.467297
| 7.440079
| 7.15566
| 7.442371
| 7.297956
|
2110.04303
|
Cameron V. Cogburn
|
Cameron V. Cogburn
|
CFT$_2$ in the Bulk
|
35 pages, 2 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study non-Gaussian bulk 2d CFTs in AdS$_2$ using boundary CFT techniques
and recent results in JT/Schwarzian gravity. We highlight the constraints on
the operator content of a theory imposed by the boundary conditions by
examining the relation between correlator coefficients and OPE coefficients in
the presence of a boundary. We then calculate bulk and boundary correlators for
various boundary conditions. Schwarzian techniques are used to calculate
gravitational correlators perturbatively in $1/c$.
|
[
{
"created": "Fri, 8 Oct 2021 18:00:00 GMT",
"version": "v1"
}
] |
2021-10-12
|
[
[
"Cogburn",
"Cameron V.",
""
]
] |
We study non-Gaussian bulk 2d CFTs in AdS$_2$ using boundary CFT techniques and recent results in JT/Schwarzian gravity. We highlight the constraints on the operator content of a theory imposed by the boundary conditions by examining the relation between correlator coefficients and OPE coefficients in the presence of a boundary. We then calculate bulk and boundary correlators for various boundary conditions. Schwarzian techniques are used to calculate gravitational correlators perturbatively in $1/c$.
| 13.025266
| 11.119997
| 12.123922
| 11.342481
| 12.252032
| 11.39174
| 12.160576
| 11.590406
| 10.769744
| 13.106708
| 11.480677
| 11.778025
| 13.053254
| 12.172013
| 12.368852
| 12.47717
| 11.74035
| 12.12246
| 12.097024
| 13.082616
| 11.678655
|
hep-th/0410144
|
Gary McCartor
|
G. McCartor
|
Induced Operators in QCD
|
8 pages. Talk presented at Light-Cone 2004 at the VU Amsterdam
|
Few Body Syst.36:181-188,2005
|
10.1007/s00601-004-0098-3
|
SMUHEP/03/1
|
hep-th
| null |
Light-cone quantization always involves the solution of differential
constraint equations. The solutions to these equations include integration
constants (fields independent of $x_-$). These fields are unphysical but when
they are consistently removed from the dynamics, additional operators (induced
operators), which would not be present if the integration constants were simply
set to zero, are included in the dynamics. These induced operators can be taken
to act in the usual light-cone subspace, for instance, the space used for DLCQ.
Here, I shall give a derivation of two such operators. The operators are
derived starting from the QCD Lagrangian but the derivation involves some
guesses. The operators will provide for the linear growth of the pion mass
squared with the quark bare mass and for the splitting of the pi and the rho at
zero quark mass.
|
[
{
"created": "Tue, 12 Oct 2004 21:44:25 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"McCartor",
"G.",
""
]
] |
Light-cone quantization always involves the solution of differential constraint equations. The solutions to these equations include integration constants (fields independent of $x_-$). These fields are unphysical but when they are consistently removed from the dynamics, additional operators (induced operators), which would not be present if the integration constants were simply set to zero, are included in the dynamics. These induced operators can be taken to act in the usual light-cone subspace, for instance, the space used for DLCQ. Here, I shall give a derivation of two such operators. The operators are derived starting from the QCD Lagrangian but the derivation involves some guesses. The operators will provide for the linear growth of the pion mass squared with the quark bare mass and for the splitting of the pi and the rho at zero quark mass.
| 14.590058
| 15.776497
| 14.064
| 14.009885
| 14.639159
| 15.30312
| 14.419105
| 13.95661
| 13.745842
| 14.873735
| 14.171548
| 14.462628
| 13.842536
| 13.922359
| 14.03281
| 14.269682
| 14.05174
| 14.074596
| 13.608286
| 14.239754
| 13.793688
|
hep-th/0106162
|
Hong Lu
|
M. Cvetic, G.W. Gibbons, James T. Liu, H. Lu and C.N. Pope
|
A New Fractional D2-brane, G_2 Holonomy and T-duality
|
Latex, 13 pages
|
Class.Quant.Grav.19:5163-5172,2002
|
10.1088/0264-9381/19/20/310
| null |
hep-th
| null |
Recently, a new example of a complete non-compact Ricci-flat metric of G_2
holonomy was constructed, which has an asymptotically locally conical structure
at infinity with a circular direction whose radius stabilises. In this paper we
find a regular harmonic 3-form in this metric, which we then use in order to
obtain an explicit solution for a fractional D2-brane configuration. By
performing a T-duality transformation on the stabilised circle, we obtain the
type IIB description of the fractional brane, which now corresponds to D3-brane
with one of its world-volume directions wrapped around the circle.
|
[
{
"created": "Tue, 19 Jun 2001 22:16:56 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Cvetic",
"M.",
""
],
[
"Gibbons",
"G. W.",
""
],
[
"Liu",
"James T.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
Recently, a new example of a complete non-compact Ricci-flat metric of G_2 holonomy was constructed, which has an asymptotically locally conical structure at infinity with a circular direction whose radius stabilises. In this paper we find a regular harmonic 3-form in this metric, which we then use in order to obtain an explicit solution for a fractional D2-brane configuration. By performing a T-duality transformation on the stabilised circle, we obtain the type IIB description of the fractional brane, which now corresponds to D3-brane with one of its world-volume directions wrapped around the circle.
| 8.590234
| 7.141147
| 9.057926
| 7.437619
| 7.419088
| 7.635876
| 7.560112
| 8.00851
| 7.240421
| 10.44041
| 6.982566
| 7.052668
| 8.323735
| 7.289487
| 7.351504
| 7.384515
| 7.371037
| 7.134262
| 7.4694
| 8.393936
| 7.286474
|
1106.3307
|
Daniel Robbins
|
Katrin Becker, Guangyu Guo and Daniel Robbins
|
Disc amplitudes, picture changing and space-time actions
|
55 pages, 1 figure
| null |
10.1007/JHEP01(2012)127
|
MIFPA-11-18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study in detail the procedure for obtaining couplings of D-branes to
closed string fields by evaluating string theory disc amplitudes. We perform a
careful construction of the relevant vertex operators and discuss the effects
of inserting the boundary state which encodes the presence of the D-brane. We
confront the issue of non-decoupling of BRST-exact states and prove that the
problem is evaded for the computations we need, thus demonstrating that our
amplitudes are automatically gauge-invariant and independent of the
distribution of picture charge. Finally, we compute explicitly the two-point
amplitudes of two NS-NS fields or one NS-NS and one R-R field on the disc, and
we carefully compare all the lowest order terms with predictions from
supergravity.
|
[
{
"created": "Thu, 16 Jun 2011 18:54:38 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Becker",
"Katrin",
""
],
[
"Guo",
"Guangyu",
""
],
[
"Robbins",
"Daniel",
""
]
] |
We study in detail the procedure for obtaining couplings of D-branes to closed string fields by evaluating string theory disc amplitudes. We perform a careful construction of the relevant vertex operators and discuss the effects of inserting the boundary state which encodes the presence of the D-brane. We confront the issue of non-decoupling of BRST-exact states and prove that the problem is evaded for the computations we need, thus demonstrating that our amplitudes are automatically gauge-invariant and independent of the distribution of picture charge. Finally, we compute explicitly the two-point amplitudes of two NS-NS fields or one NS-NS and one R-R field on the disc, and we carefully compare all the lowest order terms with predictions from supergravity.
| 10.725537
| 9.690814
| 12.62143
| 10.303649
| 10.030101
| 11.031528
| 10.642174
| 9.899245
| 9.816228
| 12.184258
| 10.289258
| 10.471182
| 11.010489
| 10.444978
| 10.256835
| 10.378982
| 10.269111
| 10.346137
| 10.250338
| 10.979349
| 9.953301
|
1705.07943
|
Ning Bao
|
Ning Bao and Hirosi Ooguri
|
On Distinguishability of Black Hole Microstates
|
12 pages, 3 figures, Correction added to section 3 and references
added
|
Phys. Rev. D 96, 066017 (2017)
|
10.1103/PhysRevD.96.066017
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the Holevo information to estimate distinguishability of microstates
of a black hole in anti-de Sitter space by measurements one can perform on a
subregion of a Cauchy surface of the dual conformal field theory. We find that
microstates are not distinguishable at all until the subregion reaches a
certain size and that perfect distinguishability can be achieved before the
subregion covers the entire Cauchy surface. We will compare our results with
expectations from the entanglement wedge reconstruction, tensor network models,
and the bit threads interpretation of the Ryu-Takayanagi formula.
|
[
{
"created": "Mon, 22 May 2017 18:44:30 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Sep 2017 21:16:21 GMT",
"version": "v2"
}
] |
2017-09-27
|
[
[
"Bao",
"Ning",
""
],
[
"Ooguri",
"Hirosi",
""
]
] |
We use the Holevo information to estimate distinguishability of microstates of a black hole in anti-de Sitter space by measurements one can perform on a subregion of a Cauchy surface of the dual conformal field theory. We find that microstates are not distinguishable at all until the subregion reaches a certain size and that perfect distinguishability can be achieved before the subregion covers the entire Cauchy surface. We will compare our results with expectations from the entanglement wedge reconstruction, tensor network models, and the bit threads interpretation of the Ryu-Takayanagi formula.
| 6.44676
| 6.375086
| 7.899384
| 6.424654
| 6.57738
| 6.585526
| 6.417558
| 6.335836
| 6.556009
| 7.418003
| 6.407462
| 6.276637
| 6.644799
| 6.238174
| 6.267665
| 6.415776
| 6.333818
| 6.508098
| 6.157879
| 6.542676
| 6.433215
|
1806.10877
|
Georgi Dvali
|
Gia Dvali and Cesar Gomez
|
On Exclusion of Positive Cosmological Constant
|
2 pages
| null |
10.1002/prop.201800092
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Some time ago we have suggested that positive vacuum energy exhibits a finite
quantum break time, which can be a signal that a positive cosmological constant
is inconsistent. From the requirement that Universe never undergoes through
quantum breaking, we have derived an absolute lower bound on the speed of
variation of positive vacuum energy. The same suggestion about exclusion of
positive cosmological constant was made recently. We show that the new bound
represents a particular string theoretic version of the old bound, which is
more general. In this light, we show that the existing window still provides a
large room for the inflationary and dark energy model building. In particular,
the inflationary models with gravitational strength interactions, are protected
against fast quantum breaking.
|
[
{
"created": "Thu, 28 Jun 2018 11:02:12 GMT",
"version": "v1"
}
] |
2021-07-28
|
[
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
]
] |
Some time ago we have suggested that positive vacuum energy exhibits a finite quantum break time, which can be a signal that a positive cosmological constant is inconsistent. From the requirement that Universe never undergoes through quantum breaking, we have derived an absolute lower bound on the speed of variation of positive vacuum energy. The same suggestion about exclusion of positive cosmological constant was made recently. We show that the new bound represents a particular string theoretic version of the old bound, which is more general. In this light, we show that the existing window still provides a large room for the inflationary and dark energy model building. In particular, the inflationary models with gravitational strength interactions, are protected against fast quantum breaking.
| 19.8549
| 20.455322
| 19.039284
| 17.264528
| 19.233133
| 19.69445
| 19.450674
| 17.816233
| 19.164116
| 19.355358
| 18.117622
| 19.446028
| 18.843664
| 18.565256
| 18.472002
| 18.988636
| 17.943211
| 18.712818
| 18.047575
| 18.889896
| 18.284733
|
1908.02416
|
John F. Donoghue
|
John F. Donoghue and Gabriel Menezes
|
Unitarity, stability and loops of unstable ghosts
|
24 pages, 12 figures, some typos corrected and a discussion of
related work improved
|
Phys. Rev. D 100, 105006 (2019)
|
10.1103/PhysRevD.100.105006
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new understanding of the unstable ghost-like resonance which
appears in theories such as quadratic gravity and Lee-Wick type theories.
Quantum corrections make this resonance unstable, such that it does not appear
in the asymptotic spectrum. We prove that these theories are unitary to all
orders. Unitarity is satisfied by the inclusion of only cuts from stable states
in the unitarity sum. This removes the need to consider this as a ghost state
in the unitarity sum. However, we often use a narrow-width approximation where
we do include cuts through unstable states, and ignore cuts through the stable
decay products. If we do this with the unstable ghost resonance at one loop, we
get the correct answer only by using a contour which was originally defined by
Lee and Wick. The quantum effects also provide damping in both the Feynman and
the retarded propagators, leading to stability under perturbations.
|
[
{
"created": "Wed, 7 Aug 2019 01:54:19 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Aug 2019 18:54:37 GMT",
"version": "v2"
}
] |
2019-11-20
|
[
[
"Donoghue",
"John F.",
""
],
[
"Menezes",
"Gabriel",
""
]
] |
We present a new understanding of the unstable ghost-like resonance which appears in theories such as quadratic gravity and Lee-Wick type theories. Quantum corrections make this resonance unstable, such that it does not appear in the asymptotic spectrum. We prove that these theories are unitary to all orders. Unitarity is satisfied by the inclusion of only cuts from stable states in the unitarity sum. This removes the need to consider this as a ghost state in the unitarity sum. However, we often use a narrow-width approximation where we do include cuts through unstable states, and ignore cuts through the stable decay products. If we do this with the unstable ghost resonance at one loop, we get the correct answer only by using a contour which was originally defined by Lee and Wick. The quantum effects also provide damping in both the Feynman and the retarded propagators, leading to stability under perturbations.
| 13.801475
| 15.641126
| 15.293884
| 13.915851
| 14.839887
| 14.166852
| 15.580191
| 14.416513
| 14.55506
| 15.694677
| 14.046521
| 13.922362
| 14.139335
| 13.975264
| 14.131782
| 14.248923
| 13.593215
| 13.865082
| 13.873108
| 14.139732
| 14.520431
|
0911.4518
|
Per Kraus
|
Eric D'Hoker and Per Kraus
|
Charged Magnetic Brane Solutions in AdS_5 and the fate of the third law
of thermodynamics
|
45 pages v2: added note about subsequent results found in
arXiv:1003.1302
|
JHEP 1003:095,2010
|
10.1007/JHEP03(2010)095
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct asymptotically AdS_5 solutions to 5-dimensional Einstein-Maxwell
theory with Chern-Simons term which are dual to 4-dimensional gauge theories,
including N=4 SYM theory, in the presence of a constant background magnetic
field B and a uniform electric charge density \rho. For the solutions
corresponding to supersymmetric gauge theories, we find numerically that a
small magnetic field causes a drastic decrease in the entropy at low
temperatures. The near-horizon AdS_2 \times R^3 geometry of the purely
electrically charged brane thus appears to be unstable under the addition of a
small magnetic field. Based on this observation, we propose a formulation of
the third law of thermodynamics (or Nernst theorem) that can be applied to
black holes in the AdS/CFT context.
We also find interesting behavior for smaller, non-supersymmetric, values of
the Chern-Simons coupling k. For k=1 we exhibit exact solutions corresponding
to warped AdS_3 black holes, and show that these can be connected to
asymptotically AdS_5 spacetime. For k\leq 1 the entropy appears to go to a
finite value at extremality, but the solutions still exhibit a mild singularity
at strictly zero temperature. In addition to our numerics, we carry out a
complete perturbative analysis valid to order B^2, and find that this
corroborates our numerical results insofar as they overlap.
|
[
{
"created": "Mon, 23 Nov 2009 23:30:08 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2010 16:16:23 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Kraus",
"Per",
""
]
] |
We construct asymptotically AdS_5 solutions to 5-dimensional Einstein-Maxwell theory with Chern-Simons term which are dual to 4-dimensional gauge theories, including N=4 SYM theory, in the presence of a constant background magnetic field B and a uniform electric charge density \rho. For the solutions corresponding to supersymmetric gauge theories, we find numerically that a small magnetic field causes a drastic decrease in the entropy at low temperatures. The near-horizon AdS_2 \times R^3 geometry of the purely electrically charged brane thus appears to be unstable under the addition of a small magnetic field. Based on this observation, we propose a formulation of the third law of thermodynamics (or Nernst theorem) that can be applied to black holes in the AdS/CFT context. We also find interesting behavior for smaller, non-supersymmetric, values of the Chern-Simons coupling k. For k=1 we exhibit exact solutions corresponding to warped AdS_3 black holes, and show that these can be connected to asymptotically AdS_5 spacetime. For k\leq 1 the entropy appears to go to a finite value at extremality, but the solutions still exhibit a mild singularity at strictly zero temperature. In addition to our numerics, we carry out a complete perturbative analysis valid to order B^2, and find that this corroborates our numerical results insofar as they overlap.
| 6.881596
| 6.455451
| 6.881404
| 6.562384
| 6.963433
| 6.589954
| 6.700658
| 6.714275
| 6.708186
| 7.809223
| 6.332416
| 6.464963
| 6.788186
| 6.546813
| 6.453298
| 6.589555
| 6.633241
| 6.566648
| 6.500225
| 6.896994
| 6.522925
|
1512.01576
|
Miguel Riquelme
|
Alfredo Perez, Miguel Riquelme, David Tempo, Ricardo Troncoso
|
Asymptotic structure of the Einstein-Maxwell theory on AdS$_{3}$
|
18 pages, no figures
| null |
10.1007/JHEP02(2016)015
|
CECS-PHY-15/08
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The asymptotic structure of AdS spacetimes in the context of General
Relativity coupled to the Maxwell field in three spacetime dimensions is
analyzed. Although the fall-off of the fields is relaxed with respect to that
of Brown and Henneaux, the variation of the canonical generators associated to
the asymptotic Killing vectors can be shown to be finite once required to span
the Lie derivative of the fields. The corresponding surface integrals then
acquire explicit contributions from the electromagnetic field, and become
well-defined provided they fulfill suitable integrability conditions, implying
that the leading terms of the asymptotic form of the electromagnetic field are
functionally related. Consequently, for a generic choice of boundary
conditions, the asymptotic symmetries are broken down to $\mathbb{R}\otimes
U\left(1\right)\otimes U\left(1\right)$. Nonetheless, requiring compatibility
of the boundary conditions with one of the asymptotic Virasoro symmetries,
singles out the set to be characterized by an arbitrary function of a single
variable, whose precise form depends on the choice of the chiral copy.
Remarkably, requiring the asymptotic symmetries to contain the full conformal
group selects a very special set of boundary conditions that is labeled by a
unique constant parameter, so that the algebra of the canonical generators is
given by the direct sum of two copies of the Virasoro algebra with the standard
central extension and $U\left(1\right)$. This special set of boundary
conditions makes the energy spectrum of electrically charged rotating black
holes to be well-behaved.
|
[
{
"created": "Fri, 4 Dec 2015 22:01:51 GMT",
"version": "v1"
}
] |
2016-03-23
|
[
[
"Perez",
"Alfredo",
""
],
[
"Riquelme",
"Miguel",
""
],
[
"Tempo",
"David",
""
],
[
"Troncoso",
"Ricardo",
""
]
] |
The asymptotic structure of AdS spacetimes in the context of General Relativity coupled to the Maxwell field in three spacetime dimensions is analyzed. Although the fall-off of the fields is relaxed with respect to that of Brown and Henneaux, the variation of the canonical generators associated to the asymptotic Killing vectors can be shown to be finite once required to span the Lie derivative of the fields. The corresponding surface integrals then acquire explicit contributions from the electromagnetic field, and become well-defined provided they fulfill suitable integrability conditions, implying that the leading terms of the asymptotic form of the electromagnetic field are functionally related. Consequently, for a generic choice of boundary conditions, the asymptotic symmetries are broken down to $\mathbb{R}\otimes U\left(1\right)\otimes U\left(1\right)$. Nonetheless, requiring compatibility of the boundary conditions with one of the asymptotic Virasoro symmetries, singles out the set to be characterized by an arbitrary function of a single variable, whose precise form depends on the choice of the chiral copy. Remarkably, requiring the asymptotic symmetries to contain the full conformal group selects a very special set of boundary conditions that is labeled by a unique constant parameter, so that the algebra of the canonical generators is given by the direct sum of two copies of the Virasoro algebra with the standard central extension and $U\left(1\right)$. This special set of boundary conditions makes the energy spectrum of electrically charged rotating black holes to be well-behaved.
| 6.758472
| 7.551869
| 7.43694
| 6.591025
| 7.03741
| 7.026272
| 6.847075
| 7.043905
| 6.567256
| 7.96642
| 6.534992
| 6.455151
| 6.806104
| 6.614185
| 6.540546
| 6.537365
| 6.47643
| 6.470245
| 6.57443
| 6.616908
| 6.601261
|
hep-th/9409057
|
Shahn Majid
|
Shahn Majid
|
Duality Principle and Braided Geometry
|
24 pages
| null |
10.1007/3-540-59163-X_265
|
DAMTP/94-69
|
hep-th math.QA
| null |
We give an overview of a new kind symmetry in physics which exists between
observables and states and which is made possible by the language of Hopf
algebras and quantum geometry. It has been proposed by the author as a feature
of Planck scale physics. More recent work includes corresponding results at the
semiclassical level of Poisson-Lie groups and at the level of braided groups
and braided geometry.
|
[
{
"created": "Sat, 10 Sep 1994 23:14:55 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Majid",
"Shahn",
""
]
] |
We give an overview of a new kind symmetry in physics which exists between observables and states and which is made possible by the language of Hopf algebras and quantum geometry. It has been proposed by the author as a feature of Planck scale physics. More recent work includes corresponding results at the semiclassical level of Poisson-Lie groups and at the level of braided groups and braided geometry.
| 15.022476
| 15.462414
| 15.758307
| 15.174063
| 16.579206
| 16.608286
| 15.775099
| 15.214814
| 14.909505
| 18.583483
| 15.586685
| 15.079882
| 15.23423
| 14.996046
| 14.818358
| 14.945006
| 15.310656
| 14.842947
| 15.189794
| 15.104007
| 14.952732
|
hep-th/9902110
|
Nikita Nekrassov
|
Nikita Nekrasov and Samson L. Shatashvili
|
On Non-Supersymmetric CFT in Four Dimensions
|
harvmac, 4 pp; v2. Z_4 field content corrected, references reworked
|
Phys.Rept. 320 (1999) 127-129
|
10.1016/S0370-1573(99)00059-9
|
ITEP-TH-06/99, HUTP-99/A007
|
hep-th
| null |
We show that the $\mathcal{N}=0$ theories on the self-dual D3-branes of Type
0 string theory are in the class of the previously considered tadpole-free
orbifolds of $\mathcal{N} = 4$ theory (although they have SO(6) global
symmetry) and hence have vanishing beta function in the planar limit to all
orders in 't Hooft coupling. Also, all planar amplitudes in this theory are
equal to those of $\mathcal{N} = 4$ theory, up to a rescaling of the coupling.
|
[
{
"created": "Mon, 15 Feb 1999 23:16:32 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 1999 23:37:21 GMT",
"version": "v2"
}
] |
2017-09-07
|
[
[
"Nekrasov",
"Nikita",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] |
We show that the $\mathcal{N}=0$ theories on the self-dual D3-branes of Type 0 string theory are in the class of the previously considered tadpole-free orbifolds of $\mathcal{N} = 4$ theory (although they have SO(6) global symmetry) and hence have vanishing beta function in the planar limit to all orders in 't Hooft coupling. Also, all planar amplitudes in this theory are equal to those of $\mathcal{N} = 4$ theory, up to a rescaling of the coupling.
| 5.733773
| 5.506205
| 5.975396
| 5.634049
| 5.876718
| 5.794623
| 5.951143
| 5.368345
| 5.568841
| 6.854618
| 5.41907
| 5.710752
| 5.956595
| 5.609434
| 5.696988
| 5.670628
| 5.794095
| 5.814577
| 5.64879
| 5.860562
| 5.612832
|
hep-th/0611161
|
Antonio Soares de Castro
|
Luis B. Castro and Antonio S. de Castro
|
Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar
coupling with unequal shapes for the potentials
|
9 pages, 3 figures
|
Phys.Scripta75:170-173,2007
|
10.1088/0031-8949/75/2/009
| null |
hep-th quant-ph
| null |
The Klein-Gordon and the Dirac equations with vector and scalar potentials
are investigated under a more general condition, $V_{v}=V_{s} +
\mathrm{const.}$ These isospectral problems are solved in a case of squared
trigonometric potential functions and bound states for either particles or
antiparticles are found. The eigenvalues and eigenfuntions are discussed in
some detail. It is revealed that a spin-0 particle is better localized than a
spin-1/2 particle when they have the same mass and are subject to the same
potentials.
|
[
{
"created": "Tue, 14 Nov 2006 23:04:56 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Castro",
"Luis B.",
""
],
[
"de Castro",
"Antonio S.",
""
]
] |
The Klein-Gordon and the Dirac equations with vector and scalar potentials are investigated under a more general condition, $V_{v}=V_{s} + \mathrm{const.}$ These isospectral problems are solved in a case of squared trigonometric potential functions and bound states for either particles or antiparticles are found. The eigenvalues and eigenfuntions are discussed in some detail. It is revealed that a spin-0 particle is better localized than a spin-1/2 particle when they have the same mass and are subject to the same potentials.
| 9.534611
| 6.640446
| 9.236406
| 7.476438
| 8.576308
| 9.119621
| 9.016736
| 7.832952
| 7.741673
| 9.75364
| 7.803521
| 8.086056
| 8.468846
| 7.889134
| 8.223256
| 8.376643
| 8.415548
| 8.401669
| 8.007969
| 8.625278
| 8.187079
|
0909.3714
|
Michael Thies
|
Christian Boehmer, Michael Thies
|
Large N solution of generalized Gross-Neveu model with two coupling
constants
|
16 pages, 13 figures; v2: small corrections, improved readability;
v3: typos in references corrected
|
Phys.Rev.D80:125038,2009
|
10.1103/PhysRevD.80.125038
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Gross-Neveu model in 1+1 dimensions is generalized to the case of
different scalar and pseudoscalar coupling constants. This enables us to
interpolate smoothly between the standard massless Gross-Neveu models with
either discrete or continuous chiral symmetry. We present the solution of the
generalized model in the large N limit including the vacuum,
fermion-antifermion scattering and bound states, solitonic baryons with
fractional baryon number and the full phase diagram at finite temperature and
chemical potential.
|
[
{
"created": "Mon, 21 Sep 2009 08:59:25 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2009 08:42:17 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Jan 2010 09:10:03 GMT",
"version": "v3"
}
] |
2010-01-08
|
[
[
"Boehmer",
"Christian",
""
],
[
"Thies",
"Michael",
""
]
] |
The Gross-Neveu model in 1+1 dimensions is generalized to the case of different scalar and pseudoscalar coupling constants. This enables us to interpolate smoothly between the standard massless Gross-Neveu models with either discrete or continuous chiral symmetry. We present the solution of the generalized model in the large N limit including the vacuum, fermion-antifermion scattering and bound states, solitonic baryons with fractional baryon number and the full phase diagram at finite temperature and chemical potential.
| 6.417992
| 5.577328
| 5.758683
| 5.378312
| 6.431595
| 6.02557
| 5.84913
| 5.69113
| 5.29894
| 6.276867
| 5.765614
| 5.733535
| 6.06119
| 5.700556
| 5.867957
| 6.140333
| 6.008093
| 5.895912
| 5.871541
| 6.139405
| 5.827136
|
1309.5042
|
Nele Callebaut
|
Nele Callebaut, David Dudal
|
A magnetic instability of the non-Abelian Sakai-Sugimoto model
|
42 pages, v2: version accepted for publication in JHEP
| null |
10.1007/JHEP01(2014)055
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this follow-up paper of 1105.2217 we further discuss the occurrence of a
magnetically induced tachyonic instability of the rho meson in the two-flavour
Sakai-Sugimoto model, uplifting two remaining approximations in the previous
paper. That is, firstly, the magnetically induced splitting of the branes is
now taken into account, evaluating without approximations the symmetrized trace
which enters in the non-Abelian Dirac-Born-Infeld (DBI) action. This leads to
an extra mass generating effect for the charged heavy-light rho meson through a
holographic Higgs mechanism. Secondly, we compare the results in the
approximation to second order in the field strength to the results using the
full DBI-action. Both improvements cause an increase of the critical magnetic
field for the onset of rho meson condensation. In addition, the stability in
the scalar sector in the presence of the magnetic field is discussed.
|
[
{
"created": "Thu, 19 Sep 2013 16:33:36 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Dec 2013 18:21:34 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Callebaut",
"Nele",
""
],
[
"Dudal",
"David",
""
]
] |
In this follow-up paper of 1105.2217 we further discuss the occurrence of a magnetically induced tachyonic instability of the rho meson in the two-flavour Sakai-Sugimoto model, uplifting two remaining approximations in the previous paper. That is, firstly, the magnetically induced splitting of the branes is now taken into account, evaluating without approximations the symmetrized trace which enters in the non-Abelian Dirac-Born-Infeld (DBI) action. This leads to an extra mass generating effect for the charged heavy-light rho meson through a holographic Higgs mechanism. Secondly, we compare the results in the approximation to second order in the field strength to the results using the full DBI-action. Both improvements cause an increase of the critical magnetic field for the onset of rho meson condensation. In addition, the stability in the scalar sector in the presence of the magnetic field is discussed.
| 11.035861
| 11.030591
| 10.451161
| 9.69453
| 10.625939
| 10.768507
| 10.328815
| 10.067235
| 9.946099
| 11.936514
| 10.205997
| 10.097083
| 10.144423
| 9.927374
| 10.066942
| 10.234779
| 10.041066
| 9.97261
| 10.231254
| 10.161837
| 9.894685
|
1910.05131
|
Jerzy Lukierski
|
Richard Kerner and Jerzy Lukierski
|
Towards a $Z_3$-graded approach to quarks' symmetries
|
20 pages, 1 figure; submitted to Proceedings of ISOS26 Conference
held in Prague, Czech Republik (08-012.07.2019); to appear in Journal of
Physics (Conference Series). arXiv admin note: text overlap with
arXiv:1801.01403; v2 corrected formula (31), version to appear in Journal of
Physics, Conference Series
| null |
10.1088/1742-6596/1416/1/012016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Colour $SU(3)$ group is an exact symmetry of Quantum Chromodynamics, which
describes strong interactions between quarks and gluons. Supplemented by two
internal symmetries, $SU(2)$ and $U(1)$, it serves as the internal symmetry of
the Standard Model, describing as well the electroweak interactions of quarks
and leptons. The colour$SU(3)$ symmetry is exact, while two other symmetries
are broken by means of the Higgs-Kibble mechanism. The three colours and
fractional quarks charges with values $1/3$ and $2/3$ suggest that the cyclic
group $Z_3$ may play a crucial role in quark field dynamics. In this paper we
consequently apply the $Z_3$ symmetry to field multiplets describing colour
quark fields. Generalized Dirac equation for coloured $12$-component spinors is
introduced and its properties are discussed. Imposing $Z_3$-graded Lorentz and
Poincar\'e covariance leads to enlargement of quark fields multiplets and
incorporates additional $Z_2 \times Z_3$ symmetry which leads to the appearance
of three generations (families) of distinct quark doublets.
|
[
{
"created": "Thu, 10 Oct 2019 17:40:27 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 2019 14:41:36 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Kerner",
"Richard",
""
],
[
"Lukierski",
"Jerzy",
""
]
] |
Colour $SU(3)$ group is an exact symmetry of Quantum Chromodynamics, which describes strong interactions between quarks and gluons. Supplemented by two internal symmetries, $SU(2)$ and $U(1)$, it serves as the internal symmetry of the Standard Model, describing as well the electroweak interactions of quarks and leptons. The colour$SU(3)$ symmetry is exact, while two other symmetries are broken by means of the Higgs-Kibble mechanism. The three colours and fractional quarks charges with values $1/3$ and $2/3$ suggest that the cyclic group $Z_3$ may play a crucial role in quark field dynamics. In this paper we consequently apply the $Z_3$ symmetry to field multiplets describing colour quark fields. Generalized Dirac equation for coloured $12$-component spinors is introduced and its properties are discussed. Imposing $Z_3$-graded Lorentz and Poincar\'e covariance leads to enlargement of quark fields multiplets and incorporates additional $Z_2 \times Z_3$ symmetry which leads to the appearance of three generations (families) of distinct quark doublets.
| 7.730186
| 7.447132
| 7.637185
| 7.328451
| 7.43796
| 7.50379
| 7.6506
| 7.191669
| 7.479308
| 7.572361
| 7.216311
| 7.364491
| 7.256481
| 7.205512
| 7.194969
| 7.37352
| 7.456776
| 7.10844
| 7.20018
| 7.452144
| 7.017345
|
0902.1770
|
Sho Yaida
|
Sho Yaida
|
Landscape versus Swampland for Higher Derivative Gravity
|
2 pages, prepared for the Proceedings of the Cargese Summer School
2008
|
Nucl.Phys.Proc.Suppl.192-193:201-202,2009
|
10.1016/j.nuclphysbps.2009.07.081
|
SU-ITP-09/07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We survey recent studies of Gauss-Bonnet gravity and its dual conformal field
theories, including their relation to the violation of the Kovtun-Starinets-Son
viscosity bound. Via holography, we can also study properties such as
microcausality and unitarity of boundary field theory duals. Such studies in
turn supply constraints on bulk gravitational theories, consigning some of them
to the swampland.
|
[
{
"created": "Tue, 10 Feb 2009 22:57:03 GMT",
"version": "v1"
}
] |
2009-10-06
|
[
[
"Yaida",
"Sho",
""
]
] |
We survey recent studies of Gauss-Bonnet gravity and its dual conformal field theories, including their relation to the violation of the Kovtun-Starinets-Son viscosity bound. Via holography, we can also study properties such as microcausality and unitarity of boundary field theory duals. Such studies in turn supply constraints on bulk gravitational theories, consigning some of them to the swampland.
| 12.524651
| 11.495434
| 14.695884
| 10.480388
| 12.208429
| 11.402231
| 10.93394
| 10.908049
| 10.21896
| 14.220099
| 10.494428
| 10.568277
| 11.975256
| 10.733846
| 11.267852
| 10.685349
| 10.611529
| 10.7544
| 10.867545
| 12.674784
| 10.918128
|
hep-th/0204078
|
Takehiro Azuma
|
Takehiro Azuma, Hikaru Kawai
|
Matrix model with manifest general coordinate invariance
|
15 pages, 2 figures (V5) some explanation added. (V6) some typos
corrected. To appear in Phys. Lett. B
|
Phys.Lett. B538 (2002) 393-405
|
10.1016/S0370-2693(02)02021-X
|
KUNS-1776
|
hep-th
| null |
We present a formulation of a matrix model which manifestly possesses the
general coordinate invariance when we identify the large $N$ matrices with
differential operators. In order to build a matrix model which has the local
Lorentz invariance, we investigate how the $so(9,1)$ Lorentz symmetry and the
$u(N)$ gauge symmetry are mixed together. We first analyze the bosonic part of
the model, and we find that the Einstein gravity is reproduced in the classical
low-energy limit. And we present a proposal to build a matrix model which has
${\cal N}=2$ SUSY and reduces to the type IIB supergravity in the classical
low-energy limit.
|
[
{
"created": "Tue, 9 Apr 2002 10:31:31 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2002 14:06:40 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Apr 2002 14:01:05 GMT",
"version": "v3"
},
{
"created": "Thu, 2 May 2002 15:03:36 GMT",
"version": "v4"
},
{
"created": "Thu, 16 May 2002 06:37:32 GMT",
"version": "v5"
},
{
"created": "Wed, 22 May 2002 12:56:29 GMT",
"version": "v6"
}
] |
2015-06-26
|
[
[
"Azuma",
"Takehiro",
""
],
[
"Kawai",
"Hikaru",
""
]
] |
We present a formulation of a matrix model which manifestly possesses the general coordinate invariance when we identify the large $N$ matrices with differential operators. In order to build a matrix model which has the local Lorentz invariance, we investigate how the $so(9,1)$ Lorentz symmetry and the $u(N)$ gauge symmetry are mixed together. We first analyze the bosonic part of the model, and we find that the Einstein gravity is reproduced in the classical low-energy limit. And we present a proposal to build a matrix model which has ${\cal N}=2$ SUSY and reduces to the type IIB supergravity in the classical low-energy limit.
| 7.449724
| 7.5074
| 8.244637
| 7.028772
| 7.199768
| 6.907123
| 6.729455
| 7.389176
| 6.857483
| 8.081359
| 7.258768
| 7.467173
| 7.655003
| 7.429276
| 7.327911
| 7.245546
| 7.389914
| 7.502943
| 7.345129
| 7.444205
| 7.200789
|
1012.5681
|
Mihailo \v{C}ubrovi\'c
|
Mihailo \v{C}ubrovi\'c, Jan Zaanen, Koenraad Schalm
|
Constructing the AdS dual of a Fermi liquid: AdS Black holes with Dirac
hair
|
26 pages, 6 figures; sections 2-3 substantially revised for improved
clarity
| null |
10.1007/JHEP10(2011)017
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide new evidence that the holographic dual to a strongly coupled
charged Fermi Liquid has a non-zero fermion density in the bulk. We show that
the pole-strength of the stable quasiparticle characterizing the Fermi surface
is encoded in the spatially averaged AdS probability density of a single
normalizable fermion wavefunction in AdS. Recalling Migdal's theorem which
relates the pole strength to the Fermi-Dirac characteristic discontinuity in
the number density at $\ome_F$, we conclude that the AdS dual of a Fermi liquid
is described by occupied on-shell fermionic modes in AdS. Encoding the occupied
levels in the total probability density of the fermion field directly, we show
that an AdS Reissner-Nordstr\"{o}m black hole in a theory with charged fermions
has a critical temperature, at which the system undergoes a first-order
transition to a black hole with a non-vanishing profile for the bulk fermion
field. Thermodynamics and spectral analysis confirm that the solution with
non-zero AdS fermion-profile is the preferred ground state at low temperatures.
|
[
{
"created": "Tue, 28 Dec 2010 00:34:37 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jan 2011 21:08:54 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jul 2011 16:36:11 GMT",
"version": "v3"
}
] |
2015-05-20
|
[
[
"Čubrović",
"Mihailo",
""
],
[
"Zaanen",
"Jan",
""
],
[
"Schalm",
"Koenraad",
""
]
] |
We provide new evidence that the holographic dual to a strongly coupled charged Fermi Liquid has a non-zero fermion density in the bulk. We show that the pole-strength of the stable quasiparticle characterizing the Fermi surface is encoded in the spatially averaged AdS probability density of a single normalizable fermion wavefunction in AdS. Recalling Migdal's theorem which relates the pole strength to the Fermi-Dirac characteristic discontinuity in the number density at $\ome_F$, we conclude that the AdS dual of a Fermi liquid is described by occupied on-shell fermionic modes in AdS. Encoding the occupied levels in the total probability density of the fermion field directly, we show that an AdS Reissner-Nordstr\"{o}m black hole in a theory with charged fermions has a critical temperature, at which the system undergoes a first-order transition to a black hole with a non-vanishing profile for the bulk fermion field. Thermodynamics and spectral analysis confirm that the solution with non-zero AdS fermion-profile is the preferred ground state at low temperatures.
| 12.135402
| 12.702549
| 12.09521
| 10.42411
| 11.93174
| 12.100353
| 11.767117
| 10.940354
| 10.264991
| 13.626059
| 11.217291
| 10.982297
| 11.349408
| 10.951428
| 10.985756
| 10.999028
| 11.007918
| 10.789837
| 11.213387
| 11.581724
| 10.897871
|
1612.03631
|
Georgios Pastras
|
Georgios Pastras
|
Static Elliptic Minimal Surfaces in AdS(4)
|
47 pages, 15 figures
|
Eur. Phys. J. C (2017) 77: 797
|
10.1140/epjc/s10052-017-5292-9
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Ryu-Takayanagi conjecture connects the entanglement entropy in the
boundary CFT to the area of open co-dimension two minimal surfaces in the bulk.
Especially in AdS(4), the latter are two-dimensional surfaces, and, thus,
solutions of a Euclidean non-linear sigma model on a symmetric target space
that can be reduced to an integrable system via Pohlmeyer reduction. In this
work, we invert Pohlmeyer reduction to construct static minimal surfaces in
AdS(4) that correspond to elliptic solutions of the reduced system, namely the
cosh-Gordon equation. The constructed minimal surfaces comprise a two-parameter
family of surfaces that include helicoids and catenoids in H(3) as special
limits. Minimal surfaces that correspond to identical boundary conditions are
discovered within the constructed family of surfaces and the relevant geometric
phase transitions are studied.
|
[
{
"created": "Mon, 12 Dec 2016 11:54:48 GMT",
"version": "v1"
}
] |
2017-12-12
|
[
[
"Pastras",
"Georgios",
""
]
] |
The Ryu-Takayanagi conjecture connects the entanglement entropy in the boundary CFT to the area of open co-dimension two minimal surfaces in the bulk. Especially in AdS(4), the latter are two-dimensional surfaces, and, thus, solutions of a Euclidean non-linear sigma model on a symmetric target space that can be reduced to an integrable system via Pohlmeyer reduction. In this work, we invert Pohlmeyer reduction to construct static minimal surfaces in AdS(4) that correspond to elliptic solutions of the reduced system, namely the cosh-Gordon equation. The constructed minimal surfaces comprise a two-parameter family of surfaces that include helicoids and catenoids in H(3) as special limits. Minimal surfaces that correspond to identical boundary conditions are discovered within the constructed family of surfaces and the relevant geometric phase transitions are studied.
| 7.637253
| 7.751715
| 9.241083
| 8.091683
| 8.251738
| 8.974591
| 8.730285
| 8.575538
| 8.005436
| 10.851395
| 8.02072
| 7.797108
| 8.184792
| 7.723084
| 7.854701
| 7.645928
| 7.781579
| 7.990781
| 7.87157
| 8.124862
| 7.663092
|
hep-th/0312281
|
Ruben Mkrtchyan
|
H. Mkrtchyan and R. Mkrtchyan
|
10d N=1 Massless BPS supermultiplets
|
LaTeX, 15 pages, 2 references added, comment to eq.(21) changed, text
improved
|
Mod.Phys.Lett. A19 (2004) 931-944
|
10.1142/S0217732304013817
| null |
hep-th
| null |
We consider d=10 N=1 supersymmetry algebra with maximal number of tensor
charges Z and introduce a class of orbits of Z, invariant w.r.t. the $T_8$
subgroup of massless particles' little group $T_8\ltimes SO(8)$. For that class
of orbits we classify all possible orbits and little groups, which appear to be
semidirect products of $T_8\ltimes SO(k_1)\times ... SO(k_n)$ form, with
$k_1+...+k_n=8$, where compact factor is embedded into SO(8) by triality map.
We define actions of little groups on supercharge Q and construct corresponding
supermultiplets. In some particular cases we show the existence of
supermultiplets with both Fermi and Bose sectors consisting of the same
representations of tensorial Poincare. In addition, complete classification of
supermultiplets (not restricted to $T_8$-invariant orbits) with rank-2 matrix
of supersymmetry charges anticommutator, is given.
|
[
{
"created": "Tue, 23 Dec 2003 22:10:02 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2004 19:36:42 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Mkrtchyan",
"H.",
""
],
[
"Mkrtchyan",
"R.",
""
]
] |
We consider d=10 N=1 supersymmetry algebra with maximal number of tensor charges Z and introduce a class of orbits of Z, invariant w.r.t. the $T_8$ subgroup of massless particles' little group $T_8\ltimes SO(8)$. For that class of orbits we classify all possible orbits and little groups, which appear to be semidirect products of $T_8\ltimes SO(k_1)\times ... SO(k_n)$ form, with $k_1+...+k_n=8$, where compact factor is embedded into SO(8) by triality map. We define actions of little groups on supercharge Q and construct corresponding supermultiplets. In some particular cases we show the existence of supermultiplets with both Fermi and Bose sectors consisting of the same representations of tensorial Poincare. In addition, complete classification of supermultiplets (not restricted to $T_8$-invariant orbits) with rank-2 matrix of supersymmetry charges anticommutator, is given.
| 10.888207
| 10.695283
| 11.402479
| 10.379291
| 11.159424
| 11.21671
| 10.571596
| 10.823365
| 11.009087
| 12.300973
| 10.519161
| 10.54663
| 10.629652
| 10.342464
| 10.661898
| 10.416967
| 10.687456
| 10.446209
| 10.588012
| 10.825114
| 10.465916
|
hep-th/0604058
|
Steven Gubser
|
A. Dymarsky, S. Gubser, Z. Guralnik, and J. Maldacena
|
Calibrated Surfaces and Supersymmetric Wilson Loops
|
28 pages, 2 figures
|
JHEP0609:057,2006
|
10.1088/1126-6708/2006/09/057
|
PUPT-2194, Brown HET-1467, ITEP-TH-12-06
|
hep-th
| null |
We study the dual gravity description of supersymmetric Wilson loops whose
expectation value is unity. They are described by calibrated surfaces that end
on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect
to an almost complex structure on an eight-dimensional slice of AdS_5 x S^5.
The regularized area of these surfaces vanishes, in agreement with field theory
non-renormalization theorems for the corresponding operators.
|
[
{
"created": "Fri, 7 Apr 2006 22:17:04 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Dymarsky",
"A.",
""
],
[
"Gubser",
"S.",
""
],
[
"Guralnik",
"Z.",
""
],
[
"Maldacena",
"J.",
""
]
] |
We study the dual gravity description of supersymmetric Wilson loops whose expectation value is unity. They are described by calibrated surfaces that end on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect to an almost complex structure on an eight-dimensional slice of AdS_5 x S^5. The regularized area of these surfaces vanishes, in agreement with field theory non-renormalization theorems for the corresponding operators.
| 9.647422
| 7.380255
| 9.962346
| 7.060376
| 7.352343
| 7.900472
| 7.300705
| 7.587062
| 7.714939
| 11.452481
| 7.595154
| 8.148546
| 9.376736
| 8.219458
| 8.364751
| 8.341764
| 8.573372
| 8.422136
| 8.317911
| 9.408751
| 7.674714
|
2105.08220
|
Giulia Aleixo
|
Giulia Aleixo, Herondy Mota
|
Thermal Casimir effect for the scalar field in flat spacetime under a
helix boundary condition
|
16 pages, new discussions and appendix added, to be published in PRD
|
Phys. Rev. D 104, 045012 (2021)
|
10.1103/PhysRevD.104.045012
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we consider the generalized zeta function method to obtain
temperature corrections to the vacuum (Casimir) energy density, at zero
temperature, associated with quantum vacuum fluctuations of a scalar field
subjected to a helix boundary condition and whose modes propagate in
(3+1)-dimensional Euclidean spacetime. We find closed and analytical
expressions for both the two-point heat kernel function and free energy density
in the massive and massless scalar field cases. In particular, for the massless
scalar field case, we also calculate the thermodynamics quantities internal
energy density and entropy density, with their corresponding high- and
low-temperature limits. We show that the temperature correction term in the
free energy density must suffer a finite renormalization, by subtracting the
scalar thermal blackbody radiation contribution, in order to provide the
correct classical limit at high temperatures. We check that, at low
temperature, the entropy density vanishes as the temperature goes to zero, in
accordance with the third law of thermodynamics. We also point out that, at low
temperatures, the dominant term in the free energy and internal energy
densities is the vacuum energy density at zero temperature. Finally, we also
show that the pressure obeys an equation of state.
|
[
{
"created": "Tue, 18 May 2021 01:23:28 GMT",
"version": "v1"
},
{
"created": "Thu, 20 May 2021 23:16:24 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Jul 2021 15:28:01 GMT",
"version": "v3"
}
] |
2021-08-25
|
[
[
"Aleixo",
"Giulia",
""
],
[
"Mota",
"Herondy",
""
]
] |
In this work we consider the generalized zeta function method to obtain temperature corrections to the vacuum (Casimir) energy density, at zero temperature, associated with quantum vacuum fluctuations of a scalar field subjected to a helix boundary condition and whose modes propagate in (3+1)-dimensional Euclidean spacetime. We find closed and analytical expressions for both the two-point heat kernel function and free energy density in the massive and massless scalar field cases. In particular, for the massless scalar field case, we also calculate the thermodynamics quantities internal energy density and entropy density, with their corresponding high- and low-temperature limits. We show that the temperature correction term in the free energy density must suffer a finite renormalization, by subtracting the scalar thermal blackbody radiation contribution, in order to provide the correct classical limit at high temperatures. We check that, at low temperature, the entropy density vanishes as the temperature goes to zero, in accordance with the third law of thermodynamics. We also point out that, at low temperatures, the dominant term in the free energy and internal energy densities is the vacuum energy density at zero temperature. Finally, we also show that the pressure obeys an equation of state.
| 7.407129
| 6.671955
| 7.229194
| 6.418353
| 6.859972
| 6.477876
| 6.953049
| 6.569739
| 6.636588
| 7.71082
| 6.800001
| 6.855732
| 7.0204
| 6.752492
| 6.953702
| 7.040553
| 6.700275
| 6.816683
| 6.909124
| 7.026414
| 6.910826
|
0805.4328
|
Mu-In Park
|
Mu-in Park
|
Constraint Dynamics and Gravitons in Three Dimensions
|
Published version in JHEP
|
JHEP 0809:084,2008
|
10.1088/1126-6708/2008/09/084
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The complete non-linear three-dimensional Einstein gravity with gravitational
Chern-Simons term and cosmological constant are studied in dreibein
formulation. The constraints and their algebras are computed in an explicit
form. From counting the number of first and second class constraints, the
number of dynamical degrees of freedom, which equals to the number of
propagating graviton modes, is found to be 1, "regardless of" the value of
cosmological constant. I note also that the usual equivalence with Chern-Simons
gauge theory does "not" work for general circumstances.
|
[
{
"created": "Wed, 28 May 2008 13:40:49 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2008 06:49:11 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Aug 2008 12:35:08 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Sep 2008 01:51:08 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Park",
"Mu-in",
""
]
] |
The complete non-linear three-dimensional Einstein gravity with gravitational Chern-Simons term and cosmological constant are studied in dreibein formulation. The constraints and their algebras are computed in an explicit form. From counting the number of first and second class constraints, the number of dynamical degrees of freedom, which equals to the number of propagating graviton modes, is found to be 1, "regardless of" the value of cosmological constant. I note also that the usual equivalence with Chern-Simons gauge theory does "not" work for general circumstances.
| 10.446991
| 9.335407
| 11.606024
| 9.79809
| 10.612531
| 9.248907
| 8.578744
| 8.738122
| 9.00579
| 11.248073
| 9.098641
| 9.476613
| 9.297668
| 9.030061
| 9.574354
| 9.400176
| 9.500559
| 9.241036
| 9.392892
| 9.801036
| 9.287214
|
1404.7154
|
Jan Manschot
|
Jan Manschot, Boris Pioline and Ashoke Sen
|
The Coulomb Branch Formula for Quiver Moduli Spaces
|
24 pages. v2: final version; minor changes, including a new diagram
|
Confluentes Mathematici 9 (2017) 2, 49-69
|
10.5802/cml.41
|
CERN-PH-TH-2014-074
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent series of works, by translating properties of multi-centered
supersymmetric black holes into the language of quiver representations, we
proposed a formula that expresses the Hodge numbers of the moduli space of
semi-stable representations of quivers with generic superpotential in terms of
a set of invariants associated to `single-centered' or `pure-Higgs' states. The
distinguishing feature of these invariants is that they are independent of the
choice of stability condition. Furthermore they are uniquely determined by the
$\chi_y$-genus of the moduli space. Here, we provide a self-contained summary
of the Coulomb branch formula, spelling out mathematical details but leaving
out proofs and physical motivations.
|
[
{
"created": "Mon, 28 Apr 2014 20:03:34 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Dec 2017 11:21:42 GMT",
"version": "v2"
}
] |
2018-01-22
|
[
[
"Manschot",
"Jan",
""
],
[
"Pioline",
"Boris",
""
],
[
"Sen",
"Ashoke",
""
]
] |
In recent series of works, by translating properties of multi-centered supersymmetric black holes into the language of quiver representations, we proposed a formula that expresses the Hodge numbers of the moduli space of semi-stable representations of quivers with generic superpotential in terms of a set of invariants associated to `single-centered' or `pure-Higgs' states. The distinguishing feature of these invariants is that they are independent of the choice of stability condition. Furthermore they are uniquely determined by the $\chi_y$-genus of the moduli space. Here, we provide a self-contained summary of the Coulomb branch formula, spelling out mathematical details but leaving out proofs and physical motivations.
| 8.670349
| 7.042138
| 9.937496
| 7.171639
| 8.313566
| 7.709884
| 7.590806
| 7.370451
| 7.513352
| 10.870492
| 8.050908
| 7.668606
| 8.161957
| 7.880489
| 7.67006
| 7.95524
| 7.928716
| 7.457975
| 7.684282
| 8.28356
| 7.910716
|
1109.2331
|
Michael Mattes Dr.
|
M.Mattes and M.Sorg
|
Quadrupole Approximation for Para-Positronium in Relativistic
Schr\"odinger Theory
|
153 pages, 9 figures and 6 tables
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The non-relativistic energy levels of para-positronium are calculated in the
quadrupole approximation of the interaction potential. This approximation
technique takes into account the anisotropy of the electrostatic
electron-positron interaction in the lowest order. The states due to different
values of the quantum number $(l_z)$ of angular momentum are found to be no
longer degenerate as is the case in the conventional theory. The physical
origin of this elimination of the conventional degeneracy may intuitively be
attributed to the state-dependent inertial \emph{broadening} of the rotating
charge clouds; the corresponding \emph{anisotropic} deformation (in the
quadrupole approximation) lowers then the negative electrostatic interaction
energy. The result of this influence of anisotropy is that the states with
$l_z=0$ adopt smaller binding energy whereas the states with maximal value of
$|l_z|$ (for fixed principal quantum number $n$) have the largest binding
energy within the angular momentum multiplet $(-|l_{z,\mathrm{max}}| \le l_z
\le |l_{z,\mathrm{max}}|)$. This yields a certain kind of electric
fine-structure splitting with the splitted RST levels being placed in a
relatively narrow band around the (highly degenerated) conventional levels.
|
[
{
"created": "Sun, 11 Sep 2011 17:15:30 GMT",
"version": "v1"
}
] |
2011-09-13
|
[
[
"Mattes",
"M.",
""
],
[
"Sorg",
"M.",
""
]
] |
The non-relativistic energy levels of para-positronium are calculated in the quadrupole approximation of the interaction potential. This approximation technique takes into account the anisotropy of the electrostatic electron-positron interaction in the lowest order. The states due to different values of the quantum number $(l_z)$ of angular momentum are found to be no longer degenerate as is the case in the conventional theory. The physical origin of this elimination of the conventional degeneracy may intuitively be attributed to the state-dependent inertial \emph{broadening} of the rotating charge clouds; the corresponding \emph{anisotropic} deformation (in the quadrupole approximation) lowers then the negative electrostatic interaction energy. The result of this influence of anisotropy is that the states with $l_z=0$ adopt smaller binding energy whereas the states with maximal value of $|l_z|$ (for fixed principal quantum number $n$) have the largest binding energy within the angular momentum multiplet $(-|l_{z,\mathrm{max}}| \le l_z \le |l_{z,\mathrm{max}}|)$. This yields a certain kind of electric fine-structure splitting with the splitted RST levels being placed in a relatively narrow band around the (highly degenerated) conventional levels.
| 9.951834
| 10.112634
| 10.995578
| 10.136819
| 11.093191
| 11.407757
| 10.878016
| 10.446308
| 9.880439
| 10.327379
| 10.409361
| 10.373606
| 10.083647
| 10.05909
| 10.084224
| 10.277138
| 10.076826
| 10.279073
| 10.083817
| 10.105341
| 9.932828
|
1407.0801
|
Hiroshi Kunitomo
|
Hiroshi Kunitomo
|
First-Order Equations of Motion for Heterotic String Field Theory
|
24 pages, uses PTPTeX.cls, v2:typos
| null |
10.1093/ptep/ptu125
|
YITP-14-52
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the equations of motion of the full heterotic string field theory
including both the Neveu-Schwarz and the Ramond sectors. It is shown that they
can be formulated in the form of an infinite number of first-order equations
for an infinite number of independent string fields. We prove that the
conventional equations of motion are obtaned by solving the extra equations for
the extra string fields with a certain assumptions at the linearized level. The
conventional gauge transformations are also obtained from those in this
first-order formulation, which is clarified by deriving some lower oder
transformations explicitly.
|
[
{
"created": "Thu, 3 Jul 2014 07:37:18 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Aug 2014 02:07:20 GMT",
"version": "v2"
}
] |
2014-09-24
|
[
[
"Kunitomo",
"Hiroshi",
""
]
] |
We consider the equations of motion of the full heterotic string field theory including both the Neveu-Schwarz and the Ramond sectors. It is shown that they can be formulated in the form of an infinite number of first-order equations for an infinite number of independent string fields. We prove that the conventional equations of motion are obtaned by solving the extra equations for the extra string fields with a certain assumptions at the linearized level. The conventional gauge transformations are also obtained from those in this first-order formulation, which is clarified by deriving some lower oder transformations explicitly.
| 11.884091
| 10.738202
| 12.501929
| 10.418572
| 10.659103
| 11.310265
| 10.398613
| 10.256527
| 10.643171
| 13.304811
| 10.499222
| 9.962064
| 10.639383
| 9.926356
| 10.206602
| 10.47762
| 10.318274
| 10.404145
| 10.083043
| 10.721067
| 10.174888
|
2312.12512
|
Jaydeep Kumar Basak
|
Jaydeep Kumar Basak, Debarshi Basu, Vinay Malvimat, Himanshu Parihar
and Gautam Sengupta
|
Holographic Reflected Entropy and Islands in Interface CFTs
|
68 pages, 28 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the reflected entropy for various mixed state configurations
in the two dimensional holographic conformal field theories sharing a common
interface (ICFTs). In the AdS$_3$/ICFT$_2$ framework, we compute the
holographic reflected entropy for the required configurations in the vacuum
state of the ICFT$_{\text{2}}$ which is given by twice the entanglement wedge
cross section (EWCS) in a spacetime involving two AdS$_3$ geometries glued
along a thin interface brane. Subsequently, we evaluate the EWCS in the bulk
geometry involving eternal BTZ black strings with an AdS$_2$ interface brane,
which is dual to an ICFT$_2$ in the thermofield double (TFD) state. We explore
the system from a doubly holographic perspective and determine the island
contributions to the reflected entropy in the two dimensional semi-classical
description involving two CFT$_{\text{2}}$s coupled to an AdS$_2$ brane. We
demonstrate that the results from the island formula match precisely with the
bulk AdS$_3$ results in the large tension limit of the interface brane. We
illustrate that the phase structure of the reflected entropy is quite rich
involving many novel induced island phases and demonstrate that it obeys the
expected Page curve for the reflected entropy in a radiation bath coupled to
the AdS$_2$ black hole.
|
[
{
"created": "Tue, 19 Dec 2023 19:00:03 GMT",
"version": "v1"
}
] |
2023-12-21
|
[
[
"Basak",
"Jaydeep Kumar",
""
],
[
"Basu",
"Debarshi",
""
],
[
"Malvimat",
"Vinay",
""
],
[
"Parihar",
"Himanshu",
""
],
[
"Sengupta",
"Gautam",
""
]
] |
We investigate the reflected entropy for various mixed state configurations in the two dimensional holographic conformal field theories sharing a common interface (ICFTs). In the AdS$_3$/ICFT$_2$ framework, we compute the holographic reflected entropy for the required configurations in the vacuum state of the ICFT$_{\text{2}}$ which is given by twice the entanglement wedge cross section (EWCS) in a spacetime involving two AdS$_3$ geometries glued along a thin interface brane. Subsequently, we evaluate the EWCS in the bulk geometry involving eternal BTZ black strings with an AdS$_2$ interface brane, which is dual to an ICFT$_2$ in the thermofield double (TFD) state. We explore the system from a doubly holographic perspective and determine the island contributions to the reflected entropy in the two dimensional semi-classical description involving two CFT$_{\text{2}}$s coupled to an AdS$_2$ brane. We demonstrate that the results from the island formula match precisely with the bulk AdS$_3$ results in the large tension limit of the interface brane. We illustrate that the phase structure of the reflected entropy is quite rich involving many novel induced island phases and demonstrate that it obeys the expected Page curve for the reflected entropy in a radiation bath coupled to the AdS$_2$ black hole.
| 8.261456
| 6.759748
| 9.622103
| 6.860104
| 7.025411
| 7.056241
| 7.128464
| 6.742234
| 6.687561
| 10.314083
| 7.224847
| 7.306489
| 8.858035
| 7.69591
| 7.348737
| 7.281619
| 7.310592
| 7.514669
| 7.733472
| 8.882438
| 7.547549
|
hep-th/9308003
|
Martin Land
|
M. C. Land, N. Shnerb, and L. P. Horwitz
|
On Feynman's Approach to the Foundations of Gauge Theory
|
This is a complete re-write of our paper, using new techniques, with
a new section on non-Abelian gauge fields. (36 pages, latex, no figures)
| null | null |
TAUP-2076-93
|
hep-th
| null |
In 1948, Feynman showed Dyson how the Lorentz force and Maxwell equations
could be derived from commutation relations coordinates and velocities. Several
authors noted that the derived equations are not Lorentz covariant and so are
not the standard Maxwell theory. In particular, Hojman and Shepley proved that
the existence of commutation relations is a strong assumption, sufficient to
determine the corresponding action, which for Feynman's derivation is of
Newtonian form. Tanimura generalized Feynman's derivation to a Lorentz
covariant form, however, this derivation does not lead to the standard Maxwell
theory either. Tanimura's force equation depends on a fifth ({\it scalar})
electromagnetic potential, and the invariant evolution parameter cannot be
consistently identified with the proper time of the particle motion. Moreover,
the derivation cannot be made reparameterization invariant; the scalar
potential causes violations of the mass-shell constraint which this invariance
should guarantee. In this paper, we examine Tanimura's derivation in the
framework of the proper time method in relativistic mechanics, and use the
technique of Hojman and Shepley to study the unconstrained commutation
relations. We show that Tanimura's result then corresponds to the
five-dimensional electromagnetic theory previously derived from a
Stueckelberg-type quantum theory in which one gauges the invariant parameter in
the proper time method. This theory provides the final step in Feynman's
program of deriving the Maxwell theory from commutation relations; the Maxwell
theory emerges as the ``correlation limit'' of a more general gauge theory, in
which it is properly contained.
|
[
{
"created": "Mon, 2 Aug 1993 11:40:22 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jan 1995 07:00:19 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Land",
"M. C.",
""
],
[
"Shnerb",
"N.",
""
],
[
"Horwitz",
"L. P.",
""
]
] |
In 1948, Feynman showed Dyson how the Lorentz force and Maxwell equations could be derived from commutation relations coordinates and velocities. Several authors noted that the derived equations are not Lorentz covariant and so are not the standard Maxwell theory. In particular, Hojman and Shepley proved that the existence of commutation relations is a strong assumption, sufficient to determine the corresponding action, which for Feynman's derivation is of Newtonian form. Tanimura generalized Feynman's derivation to a Lorentz covariant form, however, this derivation does not lead to the standard Maxwell theory either. Tanimura's force equation depends on a fifth ({\it scalar}) electromagnetic potential, and the invariant evolution parameter cannot be consistently identified with the proper time of the particle motion. Moreover, the derivation cannot be made reparameterization invariant; the scalar potential causes violations of the mass-shell constraint which this invariance should guarantee. In this paper, we examine Tanimura's derivation in the framework of the proper time method in relativistic mechanics, and use the technique of Hojman and Shepley to study the unconstrained commutation relations. We show that Tanimura's result then corresponds to the five-dimensional electromagnetic theory previously derived from a Stueckelberg-type quantum theory in which one gauges the invariant parameter in the proper time method. This theory provides the final step in Feynman's program of deriving the Maxwell theory from commutation relations; the Maxwell theory emerges as the ``correlation limit'' of a more general gauge theory, in which it is properly contained.
| 10.078784
| 11.150818
| 11.362396
| 10.480742
| 11.043302
| 10.399408
| 11.264022
| 10.906428
| 10.212008
| 11.789819
| 9.971329
| 9.807956
| 10.095889
| 9.909555
| 9.774131
| 9.652281
| 10.191648
| 10.087217
| 9.901082
| 10.057756
| 9.901108
|
hep-th/9812042
|
A. Sagnotti
|
Fabio Riccioni, Augusto Sagnotti
|
Self-dual Tensors in Six-Dimensional Supergravity
|
14 pages, LATEX. LATEX error corrected
| null | null | null |
hep-th
| null |
We review some properties of the field equations of six-dimensional (1,0)
supergravity coupled to tensor and vector multiplets, and in particular their
relation to covariant and consistent anomalies and a peculiar Noether identity
for the energy-momentum tensor. We also describe a lagrangian formulation for
this system, obtained applying the Pasti-Sorokin-Tonin prescription.
|
[
{
"created": "Fri, 4 Dec 1998 16:52:04 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 1999 12:07:13 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Jan 1999 12:04:56 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Jan 1999 17:52:42 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Riccioni",
"Fabio",
""
],
[
"Sagnotti",
"Augusto",
""
]
] |
We review some properties of the field equations of six-dimensional (1,0) supergravity coupled to tensor and vector multiplets, and in particular their relation to covariant and consistent anomalies and a peculiar Noether identity for the energy-momentum tensor. We also describe a lagrangian formulation for this system, obtained applying the Pasti-Sorokin-Tonin prescription.
| 11.620148
| 7.974056
| 13.93127
| 8.004679
| 8.788602
| 8.4905
| 8.337304
| 8.062817
| 7.656036
| 13.342024
| 8.795482
| 8.938804
| 10.814995
| 9.904869
| 9.25534
| 9.381095
| 8.887507
| 9.803923
| 9.186724
| 10.519084
| 9.473679
|
hep-th/0501091
|
Lee Smolin
|
Lee Smolin
|
Falsifiable predictions from semiclassical quantum gravity
|
9 pages
|
Nucl.Phys. B742 (2006) 142-157
|
10.1016/j.nuclphysb.2006.02.017
| null |
hep-th astro-ph gr-qc hep-ph
| null |
Quantum gravity is studied in a semiclassical approximation and it is found
that to first order in the Planck length the effect of quantum gravity is to
make the low energy effective spacetime metric energy dependent. The
diffeomorphism invariance of the semiclassical theory forbids the appearance of
a preferred frame of reference, consequently the local symmetry of this
energy-dependent effective metric is a non-linear realization of the Lorentz
transformations, which renders the Planck energy observer independent. This
gives a form of deformed or doubly special relativity (DSR), previously
explored with Magueijo, called the rainbow metric. The general argument
determines the sign, but not the exact coefficient of the effect. But it
applies in all dimensions with and without supersymmetry, and is, at least to
leading order, universal for all matter couplings.
A consequence of DSR realized with an energy dependent effective metric is a
helicity independent energy dependence in the speed of light to first order in
the Planck length. However, thresholds for Tev photons and GZK protons are
unchanged from special relativistic predictions. These predictions of quantum
gravity are falsifiable by the upcoming AUGER and GLAST experiments.
|
[
{
"created": "Wed, 12 Jan 2005 21:01:07 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2005 09:38:27 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Smolin",
"Lee",
""
]
] |
Quantum gravity is studied in a semiclassical approximation and it is found that to first order in the Planck length the effect of quantum gravity is to make the low energy effective spacetime metric energy dependent. The diffeomorphism invariance of the semiclassical theory forbids the appearance of a preferred frame of reference, consequently the local symmetry of this energy-dependent effective metric is a non-linear realization of the Lorentz transformations, which renders the Planck energy observer independent. This gives a form of deformed or doubly special relativity (DSR), previously explored with Magueijo, called the rainbow metric. The general argument determines the sign, but not the exact coefficient of the effect. But it applies in all dimensions with and without supersymmetry, and is, at least to leading order, universal for all matter couplings. A consequence of DSR realized with an energy dependent effective metric is a helicity independent energy dependence in the speed of light to first order in the Planck length. However, thresholds for Tev photons and GZK protons are unchanged from special relativistic predictions. These predictions of quantum gravity are falsifiable by the upcoming AUGER and GLAST experiments.
| 10.046423
| 11.446482
| 11.031573
| 10.361753
| 10.844605
| 10.701218
| 11.600715
| 10.760589
| 10.419258
| 11.753177
| 9.965427
| 10.447232
| 10.523275
| 10.315833
| 10.547415
| 10.440801
| 10.316109
| 10.256938
| 10.390232
| 10.280849
| 10.257792
|
hep-th/9608179
|
Dmitri Gitman
|
D.M. Gitman and S.I. Zlatev
|
Spin Factor in Path Integral Representation for Dirac Propagator in
External Fields
|
34 pages, LaTeX
|
Phys.Rev.D55:7701-7714,1997
|
10.1103/PhysRevD.55.7701
|
IFUSP/P-1236, August/1996
|
hep-th
| null |
We study the spin factor problem both in $3+1$ and $2+1$ dimensions which are
essentially different for spin factor construction. Doing all Grassmann
integrations in the corresponding path integral representations for Dirac
propagator we get representations with spin factor in arbitrary external field.
Thus, the propagator appears to be presented by means of bosonic path integral
only. In $3+1$ dimensions we present a simple derivation of spin factor
avoiding some unnecessary steps in the original brief letter (Gitman,
Shvartsman, Phys. Lett. {\bf B318} (1993) 122) which themselves need some
additional justification. In this way the meaning of the surprising possibility
of complete integration over Grassmann variables gets clear. In $2+1$
dimensions the derivation of the spin factor is completely original. Then we
use the representations with spin factor for calculations of the propagator in
some configurations of external fields. Namely, in constant uniform
electromagnetic field and in its combination with a plane wave field.
|
[
{
"created": "Tue, 27 Aug 1996 19:19:33 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Gitman",
"D. M.",
""
],
[
"Zlatev",
"S. I.",
""
]
] |
We study the spin factor problem both in $3+1$ and $2+1$ dimensions which are essentially different for spin factor construction. Doing all Grassmann integrations in the corresponding path integral representations for Dirac propagator we get representations with spin factor in arbitrary external field. Thus, the propagator appears to be presented by means of bosonic path integral only. In $3+1$ dimensions we present a simple derivation of spin factor avoiding some unnecessary steps in the original brief letter (Gitman, Shvartsman, Phys. Lett. {\bf B318} (1993) 122) which themselves need some additional justification. In this way the meaning of the surprising possibility of complete integration over Grassmann variables gets clear. In $2+1$ dimensions the derivation of the spin factor is completely original. Then we use the representations with spin factor for calculations of the propagator in some configurations of external fields. Namely, in constant uniform electromagnetic field and in its combination with a plane wave field.
| 11.740752
| 11.750231
| 12.354378
| 10.807105
| 12.349939
| 12.220576
| 11.698961
| 11.586342
| 11.231016
| 13.186337
| 11.262117
| 11.344974
| 11.757298
| 11.396632
| 11.256019
| 11.661226
| 11.762349
| 11.696283
| 11.610787
| 11.529749
| 11.198158
|
0808.2781
|
Balasubramanian Ananthanarayan
|
B. Ananthanarayan
|
A note on the heat kernel coefficients for nonminimal operators
|
9 pages, plain latex, accepted for publication by Journal of Physics
A
|
J.Phys.A41:415402,2008
|
10.1088/1751-8113/41/41/415402
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider certain results for the heat kernel of nonminimal operators. The
general expressions provided by Gusynin and Kornyak resulting from symbolic
computation programmes for n dimensions are evaluated for 4 dimensions which
are checked against results given by Barvinsky and Vilkovisky. We also check
that the results in flat space are consistent with earlier results of
Guendelmen et al. We then consider a powerful construction of the Green
function of a nonminimal operator by Shore for covariantly constantly gauge
fields in flat spacetime, and employ dimensional arguments to produce a check
on the gauge parameter dependence of a certain coefficient. The connection of
the results for heat kernel coefficients emanating from the construction of
Shore, to those from other techniques is hereby established for the first time.
|
[
{
"created": "Wed, 20 Aug 2008 16:47:26 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ananthanarayan",
"B.",
""
]
] |
We consider certain results for the heat kernel of nonminimal operators. The general expressions provided by Gusynin and Kornyak resulting from symbolic computation programmes for n dimensions are evaluated for 4 dimensions which are checked against results given by Barvinsky and Vilkovisky. We also check that the results in flat space are consistent with earlier results of Guendelmen et al. We then consider a powerful construction of the Green function of a nonminimal operator by Shore for covariantly constantly gauge fields in flat spacetime, and employ dimensional arguments to produce a check on the gauge parameter dependence of a certain coefficient. The connection of the results for heat kernel coefficients emanating from the construction of Shore, to those from other techniques is hereby established for the first time.
| 24.613956
| 24.39579
| 24.462887
| 20.002008
| 23.920248
| 23.883976
| 23.9335
| 22.131174
| 22.976646
| 27.397957
| 22.116041
| 21.998335
| 23.432066
| 21.552557
| 21.994184
| 22.621447
| 23.065224
| 21.213326
| 22.419544
| 24.801767
| 22.681517
|
0706.3473
|
Eugene Loginov
|
E.K. Loginov
|
On a class of gauge theories
|
18 pages, LaTeX, no figures
|
J.Math.Phys.48:073522,2007
|
10.1063/1.2749173
| null |
hep-th
| null |
We give a framework to describe gauge theory in which a nonassociative
Moufang loop takes the place of the structure group. The structure of such
gauge theory has many formal similarities with that of Yang-Mills theory. We
extend the gauge invariance to this theory and construct an on-shell version of
N=1 supersymmetric gauge theory.
|
[
{
"created": "Sat, 23 Jun 2007 19:36:24 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Loginov",
"E. K.",
""
]
] |
We give a framework to describe gauge theory in which a nonassociative Moufang loop takes the place of the structure group. The structure of such gauge theory has many formal similarities with that of Yang-Mills theory. We extend the gauge invariance to this theory and construct an on-shell version of N=1 supersymmetric gauge theory.
| 12.99177
| 10.120025
| 12.993415
| 10.780365
| 10.611854
| 10.851976
| 10.875852
| 10.472258
| 9.989043
| 13.212517
| 10.882017
| 10.840022
| 12.215055
| 10.95124
| 10.9391
| 11.138093
| 10.799027
| 11.246932
| 10.806212
| 12.34038
| 11.090034
|
1702.03694
|
Pan Kessel
|
Pan Kessel
|
The Very Basics of Higher-Spin Theory
|
Contribution to the proceedings of the XII Modave Summer School in
Mathematical Physics
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
These notes are based on two lectures given at the Twelfth Modave Summer
School in Mathematical Physics 2016. The Fronsdal equation and action for both
Minkowski and (A)dS backgrounds are discussed in detail.
|
[
{
"created": "Mon, 13 Feb 2017 10:04:13 GMT",
"version": "v1"
}
] |
2017-02-14
|
[
[
"Kessel",
"Pan",
""
]
] |
These notes are based on two lectures given at the Twelfth Modave Summer School in Mathematical Physics 2016. The Fronsdal equation and action for both Minkowski and (A)dS backgrounds are discussed in detail.
| 12.225309
| 7.297487
| 9.566176
| 7.845977
| 7.633306
| 7.142117
| 8.081423
| 7.620541
| 6.98007
| 8.650525
| 7.844232
| 8.472429
| 8.191861
| 7.689384
| 7.709796
| 8.143395
| 8.052913
| 7.831079
| 8.078148
| 8.202768
| 7.43954
|
hep-th/9705066
|
Igor V. Volovich
|
I.V.Volovich
|
On the Second Quantization of M(atrix) Theory
|
3 pages, Latex, an explicit expression for the interaction
Hamiltonian in the Boltzmannian Fock space is given
| null | null |
SMI-14-97/5
|
hep-th
| null |
The second quantization of M(atrix) theory in the free (Boltzmannian) Fock
space is considered. It provides a possible framework to the recent Susskind
proposal that U(N) supersymmetic Yang-Mills theories for all N might be
embedded in a single dynamical system. The second quantization of M(atrix)
theory can also be useful for the study of the Lorentz symmetry and for the
consideration of processes with creation and annihilation of D-branes.
|
[
{
"created": "Sun, 11 May 1997 14:46:29 GMT",
"version": "v1"
},
{
"created": "Thu, 15 May 1997 16:36:22 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Volovich",
"I. V.",
""
]
] |
The second quantization of M(atrix) theory in the free (Boltzmannian) Fock space is considered. It provides a possible framework to the recent Susskind proposal that U(N) supersymmetic Yang-Mills theories for all N might be embedded in a single dynamical system. The second quantization of M(atrix) theory can also be useful for the study of the Lorentz symmetry and for the consideration of processes with creation and annihilation of D-branes.
| 10.882075
| 9.574988
| 11.409719
| 9.181368
| 8.957619
| 9.008319
| 9.557333
| 9.336937
| 8.823436
| 12.545238
| 9.193887
| 9.263365
| 10.467193
| 10.106256
| 9.644085
| 9.521255
| 9.371496
| 9.515786
| 9.841937
| 10.083032
| 9.826696
|
hep-th/9608079
| null |
Hirosi Ooguri and Cumrun Vafa
|
Summing up D-Instantons
|
8 pages, harvmac; a reference added, typoes corrected
|
Phys.Rev.Lett.77:3296-3298,1996
|
10.1103/PhysRevLett.77.3296
|
HUTP-96/A036, UCB-PTH-96/36, LBNL-39220
|
hep-th
| null |
We investigate quantum corrections to the moduli space for hypermultiplets
for type IIA near a conifold singularity. We find a unique quantum deformation
based on symmetry arguments which is consistent with a recent conjecture. The
correction can be interpreted as an infinite sum coming from multiple wrappings
of the Euclidean D-branes around the vanishing cycle.
|
[
{
"created": "Mon, 12 Aug 1996 22:17:24 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Aug 1996 23:16:28 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Ooguri",
"Hirosi",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We investigate quantum corrections to the moduli space for hypermultiplets for type IIA near a conifold singularity. We find a unique quantum deformation based on symmetry arguments which is consistent with a recent conjecture. The correction can be interpreted as an infinite sum coming from multiple wrappings of the Euclidean D-branes around the vanishing cycle.
| 13.185372
| 11.39426
| 12.466364
| 10.503837
| 11.090548
| 10.083101
| 11.424497
| 9.84691
| 11.035721
| 14.10496
| 10.964129
| 11.493962
| 12.567598
| 11.034035
| 11.45919
| 11.372435
| 11.179391
| 11.257755
| 10.913277
| 12.272019
| 10.68226
|
hep-th/0703192
|
Jos\'e M. Figueroa-O'Farrill
|
Jos\'e Figueroa-O'Farrill, Emily Hackett-Jones and George Moutsopoulos
|
The Killing superalgebra of ten-dimensional supergravity backgrounds
|
21 pages; V2: 3 references added; V3: 1 reference added and two
imprecisions corrected; V4: small changes due to error in a separate paper
|
Class.Quant.Grav.24:3291-3308,2007
|
10.1088/0264-9381/24/13/010
|
EMPG-07-07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the Killing superalgebra of supersymmetric backgrounds of
ten-dimensional heterotic and type II supergravities and prove that it is a Lie
superalgebra. We also show that if the fraction of supersymmetry preserved by
the background is greater than 1/2, in the heterotic case, or greater than 3/4
in the type II case, then the background is locally homogeneous.
|
[
{
"created": "Wed, 21 Mar 2007 23:12:09 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Mar 2007 17:54:15 GMT",
"version": "v2"
},
{
"created": "Wed, 9 May 2007 17:57:44 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Aug 2012 12:38:26 GMT",
"version": "v4"
}
] |
2012-08-03
|
[
[
"Figueroa-O'Farrill",
"José",
""
],
[
"Hackett-Jones",
"Emily",
""
],
[
"Moutsopoulos",
"George",
""
]
] |
We construct the Killing superalgebra of supersymmetric backgrounds of ten-dimensional heterotic and type II supergravities and prove that it is a Lie superalgebra. We also show that if the fraction of supersymmetry preserved by the background is greater than 1/2, in the heterotic case, or greater than 3/4 in the type II case, then the background is locally homogeneous.
| 4.529161
| 4.224335
| 4.969487
| 4.065211
| 3.705756
| 3.860339
| 4.076438
| 3.955228
| 3.80873
| 5.071569
| 3.981674
| 4.185822
| 4.683383
| 4.151129
| 4.347457
| 4.255054
| 4.137938
| 4.107125
| 4.23695
| 4.697949
| 4.143167
|
hep-th/9309130
|
Uwe Ritschel
|
Uwe Ritschel
|
Autonomous Renormalization of Phi^4 in Finite Geometry
|
8 pages, Latex
|
Phys.Lett. B318 (1993) 617-622
|
10.1016/0370-2693(93)90463-R
| null |
hep-th hep-ph
| null |
The autonomous renormalization of the O(N)-symmetric scalar theory is based
on an infinite re-scaling of constant fields, whereas finite-momentum modes
remain finite. The natural framework for a detailed analysis of this method is
a system of finite size, where all non-constant modes can be integrated out
perturbatively and the constant mode is treated by a saddle-point approximation
in the thermodynamic limit. The calculation provides a better understanding of
the properties of of the effective action and corroborates earlier findings
concerning a heavy Higgs particle at about 2 TeV.
|
[
{
"created": "Fri, 24 Sep 1993 13:24:06 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Ritschel",
"Uwe",
""
]
] |
The autonomous renormalization of the O(N)-symmetric scalar theory is based on an infinite re-scaling of constant fields, whereas finite-momentum modes remain finite. The natural framework for a detailed analysis of this method is a system of finite size, where all non-constant modes can be integrated out perturbatively and the constant mode is treated by a saddle-point approximation in the thermodynamic limit. The calculation provides a better understanding of the properties of of the effective action and corroborates earlier findings concerning a heavy Higgs particle at about 2 TeV.
| 16.559885
| 15.252754
| 16.871538
| 15.135921
| 16.271976
| 16.77141
| 15.212398
| 16.181658
| 15.503222
| 18.234381
| 16.957035
| 16.792645
| 15.431971
| 15.565253
| 16.502426
| 16.93265
| 16.083303
| 15.747249
| 15.718977
| 15.721703
| 15.727768
|
1611.05821
|
Raphael Bousso
|
Raphael Bousso
|
Universal Limit on Communication
|
4 pages, 2 figures; v2: minor changes
|
Phys. Rev. Lett. 119, 140501 (2017)
|
10.1103/PhysRevLett.119.140501
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I derive a universal upper bound on the capacity of any communication channel
between two distant systems. The Holevo quantity, and hence the mutual
information, is at most of order $E \Delta t / \hbar$, where $E$ is the average
energy of the signal, and $\Delta t$ is the amount of time for which detectors
operate. The bound does not depend on the size or mass of the emitting and
receiving systems, nor on the nature of the signal. No restrictions on
preparing and processing the signal are imposed.
As an example, I consider the encoding of information in the transverse or
angular position of a signal emitted and received by systems of arbitrarily
large cross-section. In the limit of a large message space, quantum effects
become important even if individual signals are classical, and the bound is
upheld.
|
[
{
"created": "Thu, 17 Nov 2016 19:10:27 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Dec 2016 23:01:06 GMT",
"version": "v2"
}
] |
2017-10-11
|
[
[
"Bousso",
"Raphael",
""
]
] |
I derive a universal upper bound on the capacity of any communication channel between two distant systems. The Holevo quantity, and hence the mutual information, is at most of order $E \Delta t / \hbar$, where $E$ is the average energy of the signal, and $\Delta t$ is the amount of time for which detectors operate. The bound does not depend on the size or mass of the emitting and receiving systems, nor on the nature of the signal. No restrictions on preparing and processing the signal are imposed. As an example, I consider the encoding of information in the transverse or angular position of a signal emitted and received by systems of arbitrarily large cross-section. In the limit of a large message space, quantum effects become important even if individual signals are classical, and the bound is upheld.
| 9.179407
| 10.711591
| 9.896926
| 8.673254
| 10.170918
| 10.655282
| 9.504689
| 9.394391
| 9.518525
| 10.011506
| 8.863744
| 8.963793
| 8.868478
| 8.725363
| 8.623678
| 8.463201
| 8.88769
| 8.570527
| 8.578134
| 8.553858
| 8.534499
|
hep-th/0603146
|
Tatsumi Aoyama
|
T. Aoyama, H. Kawai
|
Higher Order Terms of Improved Mean Field Approximation for IIB Matrix
Model and Emergence of Four-dimensional Space-time
|
13 pages
|
Prog.Theor.Phys.116:405-415,2006
|
10.1143/PTP.116.405
|
RIKEN-TH-67
|
hep-th
| null |
The spontaneous breakdown of SO(10) symmetry of the IIB matrix model has been
studied by using the improved mean field approximation (IMFA). In this report,
the eighth-order contribution to the improved perturbative series is obtained,
which involves evaluation of 20410 planar two-particle irreducible vacuum
diagrams. We consider SO(d)-preserving configurations as ansatz (d=4,7). The
development of plateau, the solution of self-consistency condition, is seen in
both ansatz. The large ratio of the space-time extent of d-dimensional part
against the remaining (10-d)-dimensional part is obtained for SO(4) ansatz
evaluated at the representative points of the plateau. It would be interpreted
as the emergence of four-dimensional space-time in the IIB matrix model.
|
[
{
"created": "Sun, 19 Mar 2006 08:15:29 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Aoyama",
"T.",
""
],
[
"Kawai",
"H.",
""
]
] |
The spontaneous breakdown of SO(10) symmetry of the IIB matrix model has been studied by using the improved mean field approximation (IMFA). In this report, the eighth-order contribution to the improved perturbative series is obtained, which involves evaluation of 20410 planar two-particle irreducible vacuum diagrams. We consider SO(d)-preserving configurations as ansatz (d=4,7). The development of plateau, the solution of self-consistency condition, is seen in both ansatz. The large ratio of the space-time extent of d-dimensional part against the remaining (10-d)-dimensional part is obtained for SO(4) ansatz evaluated at the representative points of the plateau. It would be interpreted as the emergence of four-dimensional space-time in the IIB matrix model.
| 14.855186
| 12.934297
| 15.555608
| 13.61728
| 14.151081
| 13.12876
| 13.340692
| 14.071627
| 12.947017
| 17.164562
| 13.304323
| 13.489177
| 15.335615
| 13.697003
| 13.430019
| 13.299556
| 13.065627
| 14.253407
| 13.330273
| 14.775037
| 13.719221
|
2212.00195
|
Daniel S. Freed
|
Daniel S. Freed
|
Introduction to topological symmetry in QFT
|
14 pages, 7 figures. v2 fixed title in announcement. v3 has redrawn
figures for publication
| null | null | null |
hep-th math-ph math.AT math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This brief note publicizes the quantum framework for symmetry that is
developed in our joint paper arXiv:2209.07471 with Greg Moore and Constantin
Teleman. We include additional motivation and an application to a selection
rule for line defects in 4-dimensional gauge theories.
|
[
{
"created": "Thu, 1 Dec 2022 00:41:46 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2022 17:07:48 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Jul 2023 11:23:03 GMT",
"version": "v3"
}
] |
2023-07-07
|
[
[
"Freed",
"Daniel S.",
""
]
] |
This brief note publicizes the quantum framework for symmetry that is developed in our joint paper arXiv:2209.07471 with Greg Moore and Constantin Teleman. We include additional motivation and an application to a selection rule for line defects in 4-dimensional gauge theories.
| 22.352003
| 20.157007
| 23.333698
| 20.113049
| 19.631491
| 20.73904
| 19.559431
| 20.450335
| 20.939667
| 27.488028
| 19.061689
| 20.025486
| 20.619286
| 19.578585
| 19.196701
| 20.056442
| 19.798954
| 19.83963
| 20.69335
| 21.876673
| 20.404217
|
hep-th/9506095
| null |
A. Bassetto, L. Griguolo and G. Nardelli
|
Yang-Mills theories on the space-time $S_1 \times R$ cylinder:
equal-time quantization in light-cone gauge and Wilson loops
|
21 pages, revtex, one figure included
| null | null | null |
hep-th
| null |
Pure Yang-Mills theories on the $S_1\times R$ cylinder are quantized in
light-cone gauge $A_-=0$ by means of ${\bf equal-time}$ commutation relations.
Positive and negative frequency components are excluded from the ``physical"
Hilbert space by imposing Gauss' law in a weak sense. Zero modes, related to
the winding on the cylinder, provide non trivial topological variables of the
theory. A Wilson loop with light-like sides is studied: in the abelian case it
can be exactly computed obtaining the expected area result, whereas
difficulties are pointed out in non abelian cases.
|
[
{
"created": "Wed, 14 Jun 1995 08:03:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bassetto",
"A.",
""
],
[
"Griguolo",
"L.",
""
],
[
"Nardelli",
"G.",
""
]
] |
Pure Yang-Mills theories on the $S_1\times R$ cylinder are quantized in light-cone gauge $A_-=0$ by means of ${\bf equal-time}$ commutation relations. Positive and negative frequency components are excluded from the ``physical" Hilbert space by imposing Gauss' law in a weak sense. Zero modes, related to the winding on the cylinder, provide non trivial topological variables of the theory. A Wilson loop with light-like sides is studied: in the abelian case it can be exactly computed obtaining the expected area result, whereas difficulties are pointed out in non abelian cases.
| 17.14394
| 14.343743
| 16.100298
| 12.706286
| 15.065863
| 14.464562
| 15.363637
| 13.424603
| 14.083032
| 16.076353
| 12.470597
| 13.15667
| 13.350023
| 13.011144
| 13.513229
| 13.659428
| 12.85113
| 13.113794
| 13.291397
| 13.729367
| 13.107021
|
1305.3919
|
Csaba Csaki
|
B. Bellazzini, C. Csaki, J. Hubisz, J. Serra and J. Terning
|
A Naturally Light Dilaton and a Small Cosmological Constant
|
30 pages, 3 figures
| null |
10.1140/epjc/s10052-014-2790-x
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a non-supersymmetric theory with a naturally light dilaton. It is
based on a 5D holographic description of a conformal theory perturbed by a
close-to-marginal operator of dimension 4-epsilon, which develops a condensate.
As long as the dimension of the perturbing operator remains very close to
marginal (even for large couplings) a stable minimum at hierarchically small
scales is achieved, where the dilaton mass squared is suppressed by epsilon. At
the same time the cosmological constant in this sector is also suppressed by
epsilon, and thus parametrically smaller than in a broken SUSY theory. As a
byproduct we also present an exact solution to the scalar-gravity system that
can be interpreted as a new holographic realization of spontaneously broken
conformal symmetry. Even though this metric deviates substantially from AdS
space in the deep IR it still describes a non-linearly realized exactly
conformal theory. We also display the effective potential for the dilaton for
arbitrary holographic backgrounds.
|
[
{
"created": "Thu, 16 May 2013 20:00:05 GMT",
"version": "v1"
}
] |
2015-06-16
|
[
[
"Bellazzini",
"B.",
""
],
[
"Csaki",
"C.",
""
],
[
"Hubisz",
"J.",
""
],
[
"Serra",
"J.",
""
],
[
"Terning",
"J.",
""
]
] |
We present a non-supersymmetric theory with a naturally light dilaton. It is based on a 5D holographic description of a conformal theory perturbed by a close-to-marginal operator of dimension 4-epsilon, which develops a condensate. As long as the dimension of the perturbing operator remains very close to marginal (even for large couplings) a stable minimum at hierarchically small scales is achieved, where the dilaton mass squared is suppressed by epsilon. At the same time the cosmological constant in this sector is also suppressed by epsilon, and thus parametrically smaller than in a broken SUSY theory. As a byproduct we also present an exact solution to the scalar-gravity system that can be interpreted as a new holographic realization of spontaneously broken conformal symmetry. Even though this metric deviates substantially from AdS space in the deep IR it still describes a non-linearly realized exactly conformal theory. We also display the effective potential for the dilaton for arbitrary holographic backgrounds.
| 9.2928
| 9.470799
| 9.881708
| 8.778967
| 9.711379
| 9.510622
| 9.246636
| 8.90314
| 9.400708
| 10.949091
| 9.391164
| 9.136951
| 9.386586
| 9.13648
| 9.192899
| 9.327828
| 9.341408
| 9.448509
| 9.124501
| 9.370328
| 9.257738
|
hep-th/9510238
|
Valeri Dvoeglazov
|
Valeri V. Dvoeglazov (Zacatecas U., M\'exico)
|
Fermion-Fermion and Boson-Boson Amplitudes: Surprising Similarities
|
LaTeX file (sprocl.sty), 4pp. Presented at the IV Wigner Symp
|
Hadronic J.Suppl.10:359,1995
| null |
EFUAZ FT-95-18
|
hep-th
| null |
Amplitudes for boson-boson and fermion-boson interactions are calculated in
the second order of perturbation theory in the Lobachevsky space. An essential
ingredient of the used model is the Weinberg's $2(2j+1)$ component formalism
for describing a particle of spin $j$, recently developed substantially. The
boson-boson amplitude is then compared with the two-fermion amplitude obtained
by Skachkov long ago on the ground of the hamiltonian formulation of quantum
field theory on the mass hyperboloid, $p_0^2 -{\vec p}^{2}=M^2$, proposed by
Kadyshevsky. The parametrization of the amplitudes by means of the momentum
transfer in the Lobachevsky space leads to same spin structures in the
expressions of $T$ matrices for the fermion and the boson cases. However,
certain differences are found. Possible physical applications are discussed.
|
[
{
"created": "Tue, 31 Oct 1995 17:59:15 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Dvoeglazov",
"Valeri V.",
"",
"Zacatecas U., México"
]
] |
Amplitudes for boson-boson and fermion-boson interactions are calculated in the second order of perturbation theory in the Lobachevsky space. An essential ingredient of the used model is the Weinberg's $2(2j+1)$ component formalism for describing a particle of spin $j$, recently developed substantially. The boson-boson amplitude is then compared with the two-fermion amplitude obtained by Skachkov long ago on the ground of the hamiltonian formulation of quantum field theory on the mass hyperboloid, $p_0^2 -{\vec p}^{2}=M^2$, proposed by Kadyshevsky. The parametrization of the amplitudes by means of the momentum transfer in the Lobachevsky space leads to same spin structures in the expressions of $T$ matrices for the fermion and the boson cases. However, certain differences are found. Possible physical applications are discussed.
| 9.059643
| 5.995998
| 9.062078
| 7.535197
| 7.284647
| 6.354299
| 6.645806
| 7.014423
| 7.194047
| 10.575461
| 7.895173
| 8.077264
| 8.778741
| 8.099701
| 7.993383
| 7.992965
| 8.242105
| 7.999241
| 8.048709
| 8.492672
| 8.326366
|
hep-th/9304013
|
Noureddine Mohammedi
|
Noureddine Mohammedi
|
Naked Singularities in Four-Dimensional String Backgrounds
|
15 pages, Latex file, BONN-HE-93-11
|
Phys.Rev. D48 (1993) 3784-3792
|
10.1103/PhysRevD.48.3784
| null |
hep-th gr-qc
| null |
It is shown that gauged nonlinear sigma models can be always deformed by
terms proportional to the field strength of the gauge fields (nonminimal
gauging). These deformations can be interpreted as perturbations, by marginal
operators, of conformal coset models. When applied to the
SL(2,R)*SU(2)/[U(1)*U(1)] WZWN model, a large class of four-dimensional curved
spacetime backgrounds are obtained. In particular, a naked singularity may form
at a time when the volume of the universe is different from zero.
|
[
{
"created": "Mon, 5 Apr 1993 10:14:14 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Mohammedi",
"Noureddine",
""
]
] |
It is shown that gauged nonlinear sigma models can be always deformed by terms proportional to the field strength of the gauge fields (nonminimal gauging). These deformations can be interpreted as perturbations, by marginal operators, of conformal coset models. When applied to the SL(2,R)*SU(2)/[U(1)*U(1)] WZWN model, a large class of four-dimensional curved spacetime backgrounds are obtained. In particular, a naked singularity may form at a time when the volume of the universe is different from zero.
| 9.028888
| 9.376196
| 8.767738
| 7.652045
| 8.189386
| 8.281202
| 8.285204
| 7.824567
| 7.960818
| 10.85885
| 7.603452
| 8.219211
| 8.965379
| 8.026468
| 8.170286
| 8.185787
| 7.972287
| 8.034037
| 8.246482
| 9.082512
| 8.211221
|
1106.2266
|
Sean Downes
|
Sean Downes, Bhaskar Dutta, Kuver Sinha
|
Catastrophic Inflation
|
20 pages, 6 figures; v2: general discussion reworked for clarity,
minor terminology changes throughout. accepted to PRD
|
Phys.Rev.D84:063524,2011
|
10.1103/PhysRevD.84.063524
|
MIFPA-11-21
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study inflection point inflation using Singularity Theory, which relates
degenerate critical points of functions to their local behavior. This approach
illuminates universal features of small-field models and gives analytic control
over parametrized families of scalar potentials near inflationary solutions.
The behavior of the scalar potential is tied to the number of physical input
parameters, which determines a set of universality classes. Within these
classes, we obtain universal scaling relations for density perturbations and
the scale of inflation. In specific models, we show that the scale of
supersymmetry breaking also possesses scaling behavior. We illustrate this
general structure with a specific example: the Racetrack Inflation model in
type IIB string theory, with the inflaton being the real part of the Kahler
modulus, and the input parameters being flux dependent quantities that appear
in the 4D, N=1 superpotential.
|
[
{
"created": "Sat, 11 Jun 2011 22:47:40 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Sep 2011 20:34:22 GMT",
"version": "v2"
}
] |
2011-09-28
|
[
[
"Downes",
"Sean",
""
],
[
"Dutta",
"Bhaskar",
""
],
[
"Sinha",
"Kuver",
""
]
] |
We study inflection point inflation using Singularity Theory, which relates degenerate critical points of functions to their local behavior. This approach illuminates universal features of small-field models and gives analytic control over parametrized families of scalar potentials near inflationary solutions. The behavior of the scalar potential is tied to the number of physical input parameters, which determines a set of universality classes. Within these classes, we obtain universal scaling relations for density perturbations and the scale of inflation. In specific models, we show that the scale of supersymmetry breaking also possesses scaling behavior. We illustrate this general structure with a specific example: the Racetrack Inflation model in type IIB string theory, with the inflaton being the real part of the Kahler modulus, and the input parameters being flux dependent quantities that appear in the 4D, N=1 superpotential.
| 11.32355
| 11.435648
| 11.661735
| 10.897187
| 11.125224
| 11.226882
| 11.095416
| 10.668147
| 10.987639
| 12.888101
| 10.831576
| 11.015037
| 10.875382
| 11.000977
| 10.719593
| 11.124012
| 11.127441
| 11.164433
| 10.827183
| 11.324965
| 10.666222
|
hep-th/0511270
|
Anastasios Psinas
|
Anastasios Psinas
|
Quantum Cosmology Aspects Of D3 Branes and Tachyon Dynamics
|
29 pages, 3 figures, REVTeX 4; v2 clarifications, comments and
references added; v3 more typos corrected, additional comments on the
minisuperspace description of unstable universes, version published in JHEP
|
JHEP0604:042,2006
|
10.1088/1126-6708/2006/04/042
| null |
hep-th
| null |
We investigate aspects of quantum cosmology in relation to string cosmology
systems that are described in terms of the Dirac-Born-Infeld action. Using the
Silverstein-Tong model, we analyze the Wheeler-DeWitt equation for the rolling
scalar and gravity as well for $R\times{S^3}$ universe, by obtaining the wave
functions for all dynamical degrees of freedom of the system. We show, that in
some cases one can construct a time dependent version of the Wheeler-DeWitt
(WDW) equation for the moduli field $\phi$. We also explore in detail the
minisuperspace description of the rolling tachyon when non-minimal gravity
tachyon couplings are inserted into the tachyon action.
|
[
{
"created": "Sun, 27 Nov 2005 02:16:19 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Dec 2005 05:58:40 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Sep 2006 00:52:15 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Psinas",
"Anastasios",
""
]
] |
We investigate aspects of quantum cosmology in relation to string cosmology systems that are described in terms of the Dirac-Born-Infeld action. Using the Silverstein-Tong model, we analyze the Wheeler-DeWitt equation for the rolling scalar and gravity as well for $R\times{S^3}$ universe, by obtaining the wave functions for all dynamical degrees of freedom of the system. We show, that in some cases one can construct a time dependent version of the Wheeler-DeWitt (WDW) equation for the moduli field $\phi$. We also explore in detail the minisuperspace description of the rolling tachyon when non-minimal gravity tachyon couplings are inserted into the tachyon action.
| 10.581074
| 11.00127
| 10.646609
| 10.441132
| 10.047491
| 10.824041
| 10.823432
| 10.375931
| 10.147637
| 11.205209
| 10.290068
| 9.959888
| 9.740408
| 9.742092
| 10.266403
| 10.155128
| 10.069382
| 9.866004
| 9.702128
| 9.893248
| 9.365854
|
1907.13064
|
Floyd Williams
|
Floyd L.Williams
|
Exploring a cold plasma-2d black hole connection
|
The paper consists of 15 pages,with no figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using a resonance nonlinear Schrodinger equation as a bridge,we explore a
direct connection of cold plasma physics to two-dimensional black
holes.Namely,we compute and diagonalize a metric attached to the propagation of
magneto-acoustic waves in a cold plasma subject to a transverse magnetic
field,and we construct an explicit change of variables by which this metric is
transformed exactly to a Jackiw-Teitelbiom black hole metric.
|
[
{
"created": "Mon, 29 Jul 2019 17:11:42 GMT",
"version": "v1"
}
] |
2019-07-31
|
[
[
"Williams",
"Floyd L.",
""
]
] |
Using a resonance nonlinear Schrodinger equation as a bridge,we explore a direct connection of cold plasma physics to two-dimensional black holes.Namely,we compute and diagonalize a metric attached to the propagation of magneto-acoustic waves in a cold plasma subject to a transverse magnetic field,and we construct an explicit change of variables by which this metric is transformed exactly to a Jackiw-Teitelbiom black hole metric.
| 17.123714
| 16.949839
| 15.28188
| 16.364086
| 18.392233
| 16.672201
| 16.856199
| 14.534618
| 16.594809
| 22.532116
| 14.922728
| 16.41836
| 17.403114
| 16.46542
| 15.830147
| 16.691357
| 16.274006
| 15.997712
| 16.332405
| 17.011816
| 15.454863
|
1705.00752
|
Pietro Antonio Grassi
|
P. Fr\'e and P. A. Grassi
|
The Integral Form of D=3 Chern-Simons Theories Probing ${\mathbb
C}^n/\Gamma$ Singularities
|
41 pp, no figures
| null |
10.1002/prop.201700040
|
ARC-17-01, YITP-17-48
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider D=3 supersymmetric Chern-Simons gauge theories both from the
point of view of their formal structure and of their applications to the
$\mathrm{AdS_4/CFT_3}$ correspondence. From the structural view-point, we use
the new formalism of integral forms in superspace that utilizes the rheonomic
Lagrangians and the Picture Changing Operators, as an algorithmic tool
providing the connection between different approaches to supersymmetric
theories. We provide here the generalization to an arbitrary K\"ahler manifold
with arbitrary gauge group and arbitrary superpotential of the rheonomic
lagrangian of D=3 matter coupled gauge theories constructed years ago. From the
point of view of the $\mathrm{AdS_4/CFT_3}$ correspondence and more generally
of M2-branes we emphasize the role of the K\"ahler quotient data in determining
the field content and the interactions of the Cherns Simons gauge theory when
the transverse space to the brane is a non-compact K\"ahler quotient $K_4$ of
some flat variety with respect to a suitable group. The crepant resolutions of
${\mathbb C}^n/\Gamma$ singularities fall in this category. In the present
paper we anticipate the general scheme how the geometrical data are to be
utilized in the construction of the D=3 Chern-Simons Theory supposedly dual to
the corresponding M2-brane solution.
|
[
{
"created": "Tue, 2 May 2017 01:08:46 GMT",
"version": "v1"
}
] |
2017-11-22
|
[
[
"Fré",
"P.",
""
],
[
"Grassi",
"P. A.",
""
]
] |
We consider D=3 supersymmetric Chern-Simons gauge theories both from the point of view of their formal structure and of their applications to the $\mathrm{AdS_4/CFT_3}$ correspondence. From the structural view-point, we use the new formalism of integral forms in superspace that utilizes the rheonomic Lagrangians and the Picture Changing Operators, as an algorithmic tool providing the connection between different approaches to supersymmetric theories. We provide here the generalization to an arbitrary K\"ahler manifold with arbitrary gauge group and arbitrary superpotential of the rheonomic lagrangian of D=3 matter coupled gauge theories constructed years ago. From the point of view of the $\mathrm{AdS_4/CFT_3}$ correspondence and more generally of M2-branes we emphasize the role of the K\"ahler quotient data in determining the field content and the interactions of the Cherns Simons gauge theory when the transverse space to the brane is a non-compact K\"ahler quotient $K_4$ of some flat variety with respect to a suitable group. The crepant resolutions of ${\mathbb C}^n/\Gamma$ singularities fall in this category. In the present paper we anticipate the general scheme how the geometrical data are to be utilized in the construction of the D=3 Chern-Simons Theory supposedly dual to the corresponding M2-brane solution.
| 8.679753
| 9.287786
| 10.35413
| 9.196533
| 8.897463
| 8.783749
| 8.887232
| 8.498659
| 8.86323
| 9.986774
| 8.668582
| 8.551596
| 8.959716
| 8.637088
| 8.604116
| 8.511322
| 8.489889
| 8.475286
| 8.51228
| 8.931884
| 8.56861
|
2006.00967
|
Konstantinos Pallikaris
|
Jos\'e Pablo Figueroa and Konstantinos Pallikaris
|
Quartic Horndeski, planar black holes, holographic aspects and universal
bounds
|
LaTeX, 35 pages, 3 figures, as published in J. High Energ. Phys.
2020, 90 (2020)
|
J. High Energ. Phys. 2020, 90 (2020)
|
10.1007/JHEP09(2020)090
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we consider a specific shift-invariant quartic Horndeski model,
deriving new planar black hole solutions with axionic hair. We explore these
solutions in terms of their horizon structure and their thermodynamic
properties. We use the gauge/gravity dictionary to derive the DC transport
coefficients of the holographic dual with the aim of investigating how the new
deformation affects the universality of some renown bound proposals. Although
most of them are found to hold true, we nevertheless find a highly interesting
parametric violation of the heat conductivity-to-temperature lower bound which
acquires a dependence on both the scale and the coupling. Finally, using a
perturbative approach, a more brutal violation of the viscocity-to-entropy
ratio is demonstrated.
|
[
{
"created": "Mon, 1 Jun 2020 14:24:59 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jun 2020 05:59:15 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Sep 2020 10:52:55 GMT",
"version": "v3"
}
] |
2020-09-15
|
[
[
"Figueroa",
"José Pablo",
""
],
[
"Pallikaris",
"Konstantinos",
""
]
] |
In this work, we consider a specific shift-invariant quartic Horndeski model, deriving new planar black hole solutions with axionic hair. We explore these solutions in terms of their horizon structure and their thermodynamic properties. We use the gauge/gravity dictionary to derive the DC transport coefficients of the holographic dual with the aim of investigating how the new deformation affects the universality of some renown bound proposals. Although most of them are found to hold true, we nevertheless find a highly interesting parametric violation of the heat conductivity-to-temperature lower bound which acquires a dependence on both the scale and the coupling. Finally, using a perturbative approach, a more brutal violation of the viscocity-to-entropy ratio is demonstrated.
| 17.180168
| 15.593302
| 16.893833
| 15.402557
| 15.571784
| 15.176552
| 16.11775
| 14.567565
| 14.873344
| 15.947342
| 16.255827
| 15.24353
| 15.858263
| 14.918209
| 14.931611
| 15.013773
| 15.286488
| 15.13148
| 15.238473
| 15.569844
| 15.507462
|
hep-th/9407006
|
R. Mohayaee
|
R. Mohayaee
|
Path-integral quantization of $W_\infty$ gravity
|
9 pages, Imperial/TP/93-94/43, Plain TeX
|
Phys.Lett. B335 (1994) 388-394
|
10.1016/0370-2693(94)90369-7
| null |
hep-th
| null |
We consider the anomalies of $W_\infty$ gravity in the context of
path-integralquantization. We derive the ghost-loop anomalies to all orders in
$\hbar$ directly from the path-integral measure by the Fujikawa method. We also
show that in the matter sector the higher-loop anomalies can be obtained by
implementation of the Wess-Zumino consistency condition using the one-loop
anomaly. Cancellation of the anomalies between these two sectors then leaves
the theory anomaly-free.
|
[
{
"created": "Fri, 1 Jul 1994 18:39:55 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Mohayaee",
"R.",
""
]
] |
We consider the anomalies of $W_\infty$ gravity in the context of path-integralquantization. We derive the ghost-loop anomalies to all orders in $\hbar$ directly from the path-integral measure by the Fujikawa method. We also show that in the matter sector the higher-loop anomalies can be obtained by implementation of the Wess-Zumino consistency condition using the one-loop anomaly. Cancellation of the anomalies between these two sectors then leaves the theory anomaly-free.
| 9.893651
| 8.819817
| 11.341004
| 8.987305
| 9.773668
| 9.423575
| 8.775207
| 9.118899
| 8.994931
| 10.476357
| 8.765258
| 9.086653
| 10.837711
| 9.437842
| 9.568393
| 9.156434
| 8.805141
| 9.095143
| 9.748365
| 10.790259
| 9.760789
|
1712.07637
|
Anxo Biasi
|
Anxo Biasi, Pablo Carracedo, Javier Mas, Daniele Musso and Alexandre
Serantes
|
Floquet Scalar Dynamics in Global AdS
|
58 pages, 43 figs, several improvements, final version to appear in
JHEP
| null |
10.1007/JHEP04(2018)137
| null |
hep-th cond-mat.other nlin.PS quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study periodically driven scalar fields and the resulting geometries with
global AdS asymptotics. These solutions describe the strongly coupled dynamics
of dual finite-size quantum systems under a periodic driving which we interpret
as Floquet condensates. They span a continuous two-parameter space that extends
the linearized solutions on AdS. We map the regions of stability in the
solution space. In a significant portion of the unstable subspace, two very
different endpoints are reached depending upon the sign of the perturbation.
Collapse into a black hole occurs for one sign. For the opposite sign instead
one attains a regular solution with periodic modulation. We also construct
quenches where the driving frequency and amplitude are continuously varied.
Quasistatic quenches can interpolate between pure AdS and sourced solutions
with time periodic vev. By suitably choosing the quasistatic path one can
obtain boson stars dual to Floquet condensates at zero driving field. We
characterize the adiabaticity of the quenching processes. Besides, we speculate
on the possible connections of this framework with time crystals.
|
[
{
"created": "Wed, 20 Dec 2017 18:47:45 GMT",
"version": "v1"
},
{
"created": "Wed, 2 May 2018 10:44:02 GMT",
"version": "v2"
}
] |
2018-05-23
|
[
[
"Biasi",
"Anxo",
""
],
[
"Carracedo",
"Pablo",
""
],
[
"Mas",
"Javier",
""
],
[
"Musso",
"Daniele",
""
],
[
"Serantes",
"Alexandre",
""
]
] |
We study periodically driven scalar fields and the resulting geometries with global AdS asymptotics. These solutions describe the strongly coupled dynamics of dual finite-size quantum systems under a periodic driving which we interpret as Floquet condensates. They span a continuous two-parameter space that extends the linearized solutions on AdS. We map the regions of stability in the solution space. In a significant portion of the unstable subspace, two very different endpoints are reached depending upon the sign of the perturbation. Collapse into a black hole occurs for one sign. For the opposite sign instead one attains a regular solution with periodic modulation. We also construct quenches where the driving frequency and amplitude are continuously varied. Quasistatic quenches can interpolate between pure AdS and sourced solutions with time periodic vev. By suitably choosing the quasistatic path one can obtain boson stars dual to Floquet condensates at zero driving field. We characterize the adiabaticity of the quenching processes. Besides, we speculate on the possible connections of this framework with time crystals.
| 15.776851
| 18.214642
| 18.291927
| 16.08128
| 18.208992
| 19.947308
| 17.029919
| 18.05961
| 16.266224
| 17.792997
| 15.933488
| 16.042078
| 15.382553
| 15.267434
| 15.95882
| 16.093042
| 15.737469
| 15.553579
| 15.255364
| 15.617136
| 15.10847
|
hep-th/9910164
|
Lubos Motl
|
Tom Banks, Lubos Motl
|
A nonsupersymmetric matrix orbifold
|
JHEP LaTeX, 22 pages
|
JHEP 0003 (2000) 027
|
10.1088/1126-6708/2000/03/027
|
RU-99-24
|
hep-th
| null |
We construct the matrix description for a twisted version of the IIA string
theory on S^1 with fermions antiperiodic around a spatial circle. The result is
a 2+1-dimensional U(N) x U(N) nonsupersymmetric Yang-Mills theory with
fermionic matter transforming in the (N,Nbar). The two U(N)'s are exchanged if
one goes around a twisted circle of the worldvolume. Relations with Type 0
theories are explored and we find Type 0 matrix string limits of our gauge
theory. We argue however that most of these results are falsified by the
absence of SUSY nonrenormalization theorems and that the models do not in fact
have a sensible Lorentz invariant space time interpretation.
|
[
{
"created": "Wed, 20 Oct 1999 22:46:38 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Banks",
"Tom",
""
],
[
"Motl",
"Lubos",
""
]
] |
We construct the matrix description for a twisted version of the IIA string theory on S^1 with fermions antiperiodic around a spatial circle. The result is a 2+1-dimensional U(N) x U(N) nonsupersymmetric Yang-Mills theory with fermionic matter transforming in the (N,Nbar). The two U(N)'s are exchanged if one goes around a twisted circle of the worldvolume. Relations with Type 0 theories are explored and we find Type 0 matrix string limits of our gauge theory. We argue however that most of these results are falsified by the absence of SUSY nonrenormalization theorems and that the models do not in fact have a sensible Lorentz invariant space time interpretation.
| 12.080234
| 11.232746
| 12.873817
| 10.718469
| 11.149215
| 10.862061
| 11.919016
| 10.479036
| 10.955637
| 15.406414
| 10.323997
| 11.308668
| 12.264251
| 10.789914
| 11.420141
| 11.033574
| 10.841394
| 10.725895
| 10.506113
| 11.993456
| 11.027575
|
0802.0710
|
Michael Pawellek
|
Michael Pawellek
|
Quantum mass correction for the twisted kink
|
18 pages, 2 figures;v2:references and discussion added, typos
corrected
|
J. Phys. A 42 045404,2009
|
10.1088/1751-8113/42/4/045404
|
FAU-TP3-08/1
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an analytic result for the 1-loop quantum mass correction in
semiclassical quantization for the twisted \phi^4 kink on S^1 without explicit
knowledge of the fluctuation spectrum. For this purpose we use the contour
integral representation of the spectral zeta function. By solving the Bethe
ansatz equations for the n=2 Lame equation we obtain an analytic expression for
the corresponding spectral discriminant. We discuss the renormalization issues
of this model. An energetically preferred size for the compact space is finally
obtained.
|
[
{
"created": "Wed, 6 Feb 2008 09:57:02 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Aug 2008 13:03:10 GMT",
"version": "v2"
}
] |
2012-10-02
|
[
[
"Pawellek",
"Michael",
""
]
] |
We present an analytic result for the 1-loop quantum mass correction in semiclassical quantization for the twisted \phi^4 kink on S^1 without explicit knowledge of the fluctuation spectrum. For this purpose we use the contour integral representation of the spectral zeta function. By solving the Bethe ansatz equations for the n=2 Lame equation we obtain an analytic expression for the corresponding spectral discriminant. We discuss the renormalization issues of this model. An energetically preferred size for the compact space is finally obtained.
| 15.096613
| 11.911638
| 15.339136
| 12.674901
| 13.246614
| 13.568665
| 13.509109
| 12.63324
| 12.069317
| 14.532442
| 12.31482
| 13.105948
| 14.248536
| 12.9683
| 13.140719
| 12.527207
| 12.433786
| 12.923276
| 12.687965
| 14.580818
| 12.731626
|
hep-th/0611014
|
Rafael Hernandez
|
Cesar Gomez, Rafael Hernandez
|
Integrability and non-perturbative effects in the AdS/CFT correspondence
|
8 pages. Latex
|
Phys.Lett.B644:375-378,2007
|
10.1016/j.physletb.2006.12.007
| null |
hep-th
| null |
We present a non-perturbative resummation of the asymptotic strong-coupling
expansion for the dressing phase factor of the AdS_5xS^5 string S-matrix. The
non-perturbative resummation provides a general form for the coefficients in
the weak-coupling expansion, in agreement with crossing symmetry and
transcendentality. The ambiguities of the non-perturbative prescription are
discussed together with the similarities with the non-perturbative definition
of the c=1 matrix model.
|
[
{
"created": "Wed, 1 Nov 2006 15:18:48 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gomez",
"Cesar",
""
],
[
"Hernandez",
"Rafael",
""
]
] |
We present a non-perturbative resummation of the asymptotic strong-coupling expansion for the dressing phase factor of the AdS_5xS^5 string S-matrix. The non-perturbative resummation provides a general form for the coefficients in the weak-coupling expansion, in agreement with crossing symmetry and transcendentality. The ambiguities of the non-perturbative prescription are discussed together with the similarities with the non-perturbative definition of the c=1 matrix model.
| 7.165013
| 6.12369
| 7.398801
| 5.841043
| 6.37697
| 6.14023
| 6.109497
| 5.838493
| 5.70804
| 8.107882
| 6.066108
| 6.424981
| 7.463097
| 6.573721
| 6.586325
| 6.192092
| 6.242918
| 6.348562
| 6.232518
| 7.07483
| 6.112432
|
0812.0773
|
S. Prem Kumar
|
Adi Armoni, S. Prem Kumar and Jefferson M. Ridgway
|
Z(N) Domain walls in hot N=4 SYM at weak and strong coupling
|
29 pages, 2 figures; v2: normalization of strong-coupling tension
formula corrected, equations 5.14, 5.16 and 5.17 clarified; v3:
regularisation of eq.(3.31) corrected. Conclusions unchanged
|
JHEP 0901:076,2009
|
10.1088/1126-6708/2009/01/076
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the tensions of domain walls in the deconfined phase of N=4 SUSY
Yang-Mills theory on R^3 x S^1, at weak and strong coupling. We calculate the
k-wall tension at one-loop order and find that it is proportional to k(N-k)
(Casimir scaling). The two-loops analysis suggests that Casimir scaling
persists to this order. The strong coupling calculation is performed by using
the AdS/CFT correspondence. We argue that the k-wall should be identified with
an NS5-brane wrapping an S^4 inside S^5 in the AdS-Schwarzschild x S^5
background in Type IIB string theory. The tension at strong coupling is
compared with the weak coupling result. We also compare our results with those
from lattice simulations in pure Yang-Mills theory.
|
[
{
"created": "Wed, 3 Dec 2008 19:49:49 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Dec 2008 11:24:33 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Feb 2009 10:12:01 GMT",
"version": "v3"
}
] |
2009-02-12
|
[
[
"Armoni",
"Adi",
""
],
[
"Kumar",
"S. Prem",
""
],
[
"Ridgway",
"Jefferson M.",
""
]
] |
We study the tensions of domain walls in the deconfined phase of N=4 SUSY Yang-Mills theory on R^3 x S^1, at weak and strong coupling. We calculate the k-wall tension at one-loop order and find that it is proportional to k(N-k) (Casimir scaling). The two-loops analysis suggests that Casimir scaling persists to this order. The strong coupling calculation is performed by using the AdS/CFT correspondence. We argue that the k-wall should be identified with an NS5-brane wrapping an S^4 inside S^5 in the AdS-Schwarzschild x S^5 background in Type IIB string theory. The tension at strong coupling is compared with the weak coupling result. We also compare our results with those from lattice simulations in pure Yang-Mills theory.
| 5.463805
| 4.966142
| 6.666088
| 5.265434
| 5.391155
| 5.617269
| 5.63709
| 5.059949
| 5.206926
| 6.304662
| 5.001264
| 5.044032
| 6.079957
| 5.415954
| 5.27638
| 4.875416
| 5.150007
| 5.060252
| 5.417943
| 6.133782
| 5.062143
|
1111.5190
|
Takeshi Morita
|
Gautam Mandal and Takeshi Morita
|
What is the gravity dual of the confinement/deconfinement transition in
holographic QCD?
|
6 pages, 1 figure, based on the proceedings of the Seventh
International Conference `Quantum Theory and Symmetries', held in Prague 2011
and XVII European Workshop on String Theory 2011, held in Padua; v2: minor
corrections
| null |
10.1088/1742-6596/343/1/012079
|
TIFR/TH/11-49, CCTP-2011-39
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the gravity dual of four dimensional pure Yang-Mills theory through
D4 branes, as proposed by Witten (holographic QCD). In this holographic QCD, it
has been widely believed that the confinement phase in the pure Yang-Mills
theory corresponds to the AdS D4 soliton in gravity and the deconfinement phase
corresponds to the black D4 brane. We inspect this conjecture carefully and
show that the correspondence between the black D4 brane and the deconfinement
phase is not correct. Instead, by using a slightly different set up, we find an
alternative gravity solution called "localized soliton", which would be
properly related to the deconfinement phase. In this case, the
confinement/deconfinement transition is realized as a Gregory-Laflamme type
transition. We find that our proposal naturally explains several known
properties of QCD.
|
[
{
"created": "Tue, 22 Nov 2011 13:19:21 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Mar 2012 14:00:30 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Mandal",
"Gautam",
""
],
[
"Morita",
"Takeshi",
""
]
] |
We study the gravity dual of four dimensional pure Yang-Mills theory through D4 branes, as proposed by Witten (holographic QCD). In this holographic QCD, it has been widely believed that the confinement phase in the pure Yang-Mills theory corresponds to the AdS D4 soliton in gravity and the deconfinement phase corresponds to the black D4 brane. We inspect this conjecture carefully and show that the correspondence between the black D4 brane and the deconfinement phase is not correct. Instead, by using a slightly different set up, we find an alternative gravity solution called "localized soliton", which would be properly related to the deconfinement phase. In this case, the confinement/deconfinement transition is realized as a Gregory-Laflamme type transition. We find that our proposal naturally explains several known properties of QCD.
| 6.445996
| 6.460113
| 6.664279
| 6.268869
| 6.1481
| 5.937874
| 5.979082
| 6.118451
| 5.784853
| 6.826247
| 5.859597
| 5.971839
| 6.433164
| 6.180755
| 6.313424
| 6.172081
| 6.173999
| 6.211893
| 6.155838
| 6.353321
| 5.98179
|
hep-th/0108024
|
Yu-Wen Lee
|
Yeong-Chuan Kao and Yu-Wen Lee
|
Schwinger model on a half-line
|
4 pages, no figure. Final version to be published on Phys. Rev. D
|
Phys.Rev. D65 (2002) 067701
|
10.1103/PhysRevD.65.067701
| null |
hep-th
| null |
We study the Schwinger model on a half-line in this paper. In particular, we
investigate the behavior of the chiral condensate near the edge of the line.
The effect of the chosen boundary condition is emphasized. The extension to the
finite temperature case is straightforward in our approach.
|
[
{
"created": "Mon, 6 Aug 2001 08:30:30 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jan 2002 07:37:24 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Kao",
"Yeong-Chuan",
""
],
[
"Lee",
"Yu-Wen",
""
]
] |
We study the Schwinger model on a half-line in this paper. In particular, we investigate the behavior of the chiral condensate near the edge of the line. The effect of the chosen boundary condition is emphasized. The extension to the finite temperature case is straightforward in our approach.
| 8.861971
| 7.17696
| 7.886016
| 6.835069
| 7.257715
| 6.955599
| 7.143886
| 7.114965
| 7.266734
| 8.009449
| 7.3663
| 7.202019
| 8.240006
| 7.360708
| 7.437786
| 7.872617
| 7.667895
| 7.499465
| 7.504644
| 7.764996
| 7.387209
|
hep-th/0407201
|
Stepanyantz Konstantin
|
K.V.Stepanyantz
|
Investigation of the anomaly puzzle in N=1 supersymmetric
electrodynamics
|
LaTeX, 22 pages, 1 eps figure
|
Theor.Math.Phys. 142 (2005) 29-47; Teor.Mat.Fiz. 142 (2005) 37-57
|
10.1007/s11232-005-0053-6
| null |
hep-th
| null |
Using Schwinger-Dyson equations and Ward identities in N=1 supersymmetric
electrodynamics, regularized by higher derivatives, we find, that it is
possible to calculate some contributions to the two-point Green function of the
gauge field and to the beta-function exactly to all orders of the perturbation
theory. The results are applied for the investigation of the anomaly puzzle in
the considered theory.
|
[
{
"created": "Thu, 22 Jul 2004 18:59:25 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Stepanyantz",
"K. V.",
""
]
] |
Using Schwinger-Dyson equations and Ward identities in N=1 supersymmetric electrodynamics, regularized by higher derivatives, we find, that it is possible to calculate some contributions to the two-point Green function of the gauge field and to the beta-function exactly to all orders of the perturbation theory. The results are applied for the investigation of the anomaly puzzle in the considered theory.
| 8.150087
| 6.01162
| 8.110022
| 6.797515
| 6.260509
| 6.427634
| 5.890831
| 6.023296
| 6.408857
| 8.780696
| 6.72217
| 7.524676
| 8.585132
| 7.204034
| 7.346017
| 7.174146
| 7.451343
| 7.299586
| 7.295349
| 7.905195
| 7.111003
|
1309.5093
|
Daniele Musso
|
Andrea Amoretti, Alessandro Braggio, Nicola Maggiore, Nicodemo
Magnoli, Daniele Musso
|
Coexistence of two vector order parameters: a holographic model for
ferromagnetic superconductivity
|
45 pages, 19 figures
|
JHEP 1401 (2014) 054
|
10.1007/JHEP01(2014)054
| null |
hep-th cond-mat.str-el cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a generalization of the standard holographic p-wave superconductor
featuring two interacting vector order parameters. Basing our argument on the
symmetry and linear response properties of the model, we propose it as a
holographic effective theory describing a strongly coupled ferromagnetic
superconductor. We show that the two order parameters undergo concomitant
condensations as a manifestation of an intrinsically interlaced
electric/magnetic dynamics. Such intertwined dynamics is confirmed by the study
of the transport properties. We characterize thoroughly the equilibrium and the
linear response (i.e. optical conductivity and magnetic susceptibility) of the
model at hand by means of a probe approximation analysis. Some insight about
the effects of backreaction in the normal phase can be gained by analogy with
the s-wave unbalanced holographic superconductor.
|
[
{
"created": "Thu, 19 Sep 2013 20:03:28 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Oct 2013 14:20:38 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Jan 2014 09:26:13 GMT",
"version": "v3"
}
] |
2014-03-12
|
[
[
"Amoretti",
"Andrea",
""
],
[
"Braggio",
"Alessandro",
""
],
[
"Maggiore",
"Nicola",
""
],
[
"Magnoli",
"Nicodemo",
""
],
[
"Musso",
"Daniele",
""
]
] |
We study a generalization of the standard holographic p-wave superconductor featuring two interacting vector order parameters. Basing our argument on the symmetry and linear response properties of the model, we propose it as a holographic effective theory describing a strongly coupled ferromagnetic superconductor. We show that the two order parameters undergo concomitant condensations as a manifestation of an intrinsically interlaced electric/magnetic dynamics. Such intertwined dynamics is confirmed by the study of the transport properties. We characterize thoroughly the equilibrium and the linear response (i.e. optical conductivity and magnetic susceptibility) of the model at hand by means of a probe approximation analysis. Some insight about the effects of backreaction in the normal phase can be gained by analogy with the s-wave unbalanced holographic superconductor.
| 13.889237
| 13.562277
| 14.323817
| 12.013255
| 13.793626
| 13.879684
| 14.026108
| 13.206612
| 13.809983
| 14.474395
| 11.826509
| 12.713947
| 13.530973
| 12.480034
| 12.762893
| 12.699899
| 12.908803
| 13.295139
| 12.631162
| 13.446173
| 12.481966
|
1011.3533
|
Christoph Uhlemann
|
Thorsten Ohl and Christoph F. Uhlemann
|
The Boundary Multiplet of N=4 SU(2)xU(1) Gauged Supergravity on
Asymptotically-AdS_5
|
23 pages; to appear in JHEP
|
JHEP 1106:086,2011
|
10.1007/JHEP06(2011)086
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider N=4 SU(2)xU(1) gauged supergravity on asymptotically-AdS_5
backgrounds. By a near-boundary analysis we determine the boundary-dominant
components of the bulk fields from their partially gauge-fixed field equations.
Subdominant components are projected out in the boundary limit and we find a
reduced set of boundary fields, constituting the N=2 Weyl multiplet. The
residual bulk symmetries are found to act on the boundary fields as
four-dimensional diffeomorphisms, N=2 supersymmetry and (super-)Weyl
transformations. This shows that the on-shell N=4 supergravity multiplet yields
the N=2 Weyl multiplet on the boundary with the appropriate local N=2
superconformal transformations. Building on these results we use the AdS/CFT
conjecture to calculate the Weyl anomaly of the dual four-dimensional
superconformal field theories in a generic bosonic N=2 conformal supergravity
background.
|
[
{
"created": "Mon, 15 Nov 2010 21:53:42 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jun 2011 20:25:48 GMT",
"version": "v2"
}
] |
2011-06-24
|
[
[
"Ohl",
"Thorsten",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] |
We consider N=4 SU(2)xU(1) gauged supergravity on asymptotically-AdS_5 backgrounds. By a near-boundary analysis we determine the boundary-dominant components of the bulk fields from their partially gauge-fixed field equations. Subdominant components are projected out in the boundary limit and we find a reduced set of boundary fields, constituting the N=2 Weyl multiplet. The residual bulk symmetries are found to act on the boundary fields as four-dimensional diffeomorphisms, N=2 supersymmetry and (super-)Weyl transformations. This shows that the on-shell N=4 supergravity multiplet yields the N=2 Weyl multiplet on the boundary with the appropriate local N=2 superconformal transformations. Building on these results we use the AdS/CFT conjecture to calculate the Weyl anomaly of the dual four-dimensional superconformal field theories in a generic bosonic N=2 conformal supergravity background.
| 6.473196
| 6.297112
| 7.037222
| 6.242899
| 6.907864
| 6.463828
| 6.061219
| 6.29778
| 6.320462
| 7.810452
| 6.445203
| 6.522291
| 6.390521
| 6.263713
| 6.528523
| 6.281642
| 6.320564
| 6.448795
| 6.227447
| 6.416539
| 6.181567
|
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