id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0408053 | Chi-Wei Herbert Lee | C.-W. H. lee and R. B. Mann | On Inhomogeneity of a String Bit Model for Quantum Gravity | 16 pages, LaTeX2e | Int.J.Mod.Phys. D14 (2005) 1545-1560 | 10.1142/S0218271805007206 | null | hep-th | null | We study quantum gravitational effect on a two-dimensional open universe with
one particle by means of a string bit model. We find that matter is necessarily
homogeneously distributed if the influence of the particle on the size of the
universe is optimized.
| [
{
"created": "Fri, 6 Aug 2004 12:50:03 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"lee",
"C. -W. H.",
""
],
[
"Mann",
"R. B.",
""
]
] | We study quantum gravitational effect on a two-dimensional open universe with one particle by means of a string bit model. We find that matter is necessarily homogeneously distributed if the influence of the particle on the size of the universe is optimized. |
2406.06681 | Francesco Serra | David E. Kaplan, Surjeet Rajendran, Francesco Serra | Wrong Signs are Alright | 5 pages, 2 figures | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | It has been shown that some Lorentz-invariant quantum field theories, such as
those with higher-dimensional operators with negative coefficients, lead to
superluminality on some classical backgrounds. While superluminality by itself
is not logically inconsistent, these theories also predict the formation of
closed time-like curves at the classical level, starting from initial
conditions without such curves. This leads to the formation of a Cauchy Horizon
which prevents a complete description of the time evolution of such systems.
Inspired by the chronology protection arguments of General Relativity, we show
that quantum mechanical effects from low energy quanta strongly backreact on
such configurations, exciting unknown short-distance degrees of freedom and
invalidating the classical predictions. Thus, there is no obvious low-energy
obstruction to the existence of these operators.
| [
{
"created": "Mon, 10 Jun 2024 18:00:03 GMT",
"version": "v1"
}
] | 2024-06-12 | [
[
"Kaplan",
"David E.",
""
],
[
"Rajendran",
"Surjeet",
""
],
[
"Serra",
"Francesco",
""
]
] | It has been shown that some Lorentz-invariant quantum field theories, such as those with higher-dimensional operators with negative coefficients, lead to superluminality on some classical backgrounds. While superluminality by itself is not logically inconsistent, these theories also predict the formation of closed time-like curves at the classical level, starting from initial conditions without such curves. This leads to the formation of a Cauchy Horizon which prevents a complete description of the time evolution of such systems. Inspired by the chronology protection arguments of General Relativity, we show that quantum mechanical effects from low energy quanta strongly backreact on such configurations, exciting unknown short-distance degrees of freedom and invalidating the classical predictions. Thus, there is no obvious low-energy obstruction to the existence of these operators. |
1906.11820 | Sakura Schafer-Nameki | Fabio Apruzzi, Craig Lawrie, Ling Lin, Sakura Schafer-Nameki, Yi-Nan
Wang | 5d Superconformal Field Theories and Graphs | 6 pages, 2 figures. Supplementary material available here:
https://people.maths.ox.ac.uk/schafernamek/CFD | null | 10.1016/j.physletb.2019.135077 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a graph-theoretic description to determine and characterize 5d
superconformal field theories (SCFTs) that arise as circle reductions of 6d
$\mathcal{N} = (1,0)$ SCFTs. Each 5d SCFT is captured by a graph, called a
Combined Fiber Diagram (CFD). Transitions between CFDs encode mass deformations
that trigger flows between SCFTs. In this way, the complete set of descendants
of a given 6d theory are obtained from a single marginal CFD. The graphs encode
key physical information like the superconformal flavor symmetry and BPS
states. As an illustration, we ascertain the aforementioned data associated to
all the 5d SCFTs descending from 6d minimal $(E_6, E_6)$ and $(D_k, D_k)$
conformal matter for any $k$. This includes predictions for thus far unknown
flavor symmetry enhancements.
| [
{
"created": "Thu, 27 Jun 2019 17:58:07 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jul 2019 17:24:51 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Apruzzi",
"Fabio",
""
],
[
"Lawrie",
"Craig",
""
],
[
"Lin",
"Ling",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Wang",
"Yi-Nan",
""
]
] | We propose a graph-theoretic description to determine and characterize 5d superconformal field theories (SCFTs) that arise as circle reductions of 6d $\mathcal{N} = (1,0)$ SCFTs. Each 5d SCFT is captured by a graph, called a Combined Fiber Diagram (CFD). Transitions between CFDs encode mass deformations that trigger flows between SCFTs. In this way, the complete set of descendants of a given 6d theory are obtained from a single marginal CFD. The graphs encode key physical information like the superconformal flavor symmetry and BPS states. As an illustration, we ascertain the aforementioned data associated to all the 5d SCFTs descending from 6d minimal $(E_6, E_6)$ and $(D_k, D_k)$ conformal matter for any $k$. This includes predictions for thus far unknown flavor symmetry enhancements. |
hep-th/0309044 | Matthias Klein | Matthias Klein, Sang-Jin Sin | On effective superpotentials and Kutasov duality | 21 pages, Latex | JHEP 0310 (2003) 050 | 10.1088/1126-6708/2003/10/050 | null | hep-th | null | We derive the effective superpotential for an N=1 SU(N_c) gauge theory with
one massless adjoint field and N_f massless fundamental flavors and cubic
tree-level superpotential for the adjoint field. This is a generalization of
the Affleck-Dine-Seiberg superpotential to gauge theories with one massless
adjoint matter field. Using Kutasov's generalization of Seiberg duality, we
then find the effective superpotential for a related theory with massive
fundamental flavors.
| [
{
"created": "Wed, 3 Sep 2003 20:12:59 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Klein",
"Matthias",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | We derive the effective superpotential for an N=1 SU(N_c) gauge theory with one massless adjoint field and N_f massless fundamental flavors and cubic tree-level superpotential for the adjoint field. This is a generalization of the Affleck-Dine-Seiberg superpotential to gauge theories with one massless adjoint matter field. Using Kutasov's generalization of Seiberg duality, we then find the effective superpotential for a related theory with massive fundamental flavors. |
hep-th/0203255 | Jerome P. Gauntlett | Jerome P. Gauntlett and Christopher M. Hull | pp-waves in 11-dimensions with extra supersymmetry | 13 pages. Reference added, typos corrected, new examples of
7-parameter case presented | JHEP 0206 (2002) 013 | 10.1088/1126-6708/2002/06/013 | QMUL-PH-02-06 | hep-th | null | The Killing spinor equations for pp-wave solutions of eleven dimensional
supergravity are analysed and it is shown that there are solutions that
preserve 18,20,22 and 24 supersymmetries, in addition to the generic solution
preserving 16 supersymmetries and the Kowalski-Glikman solution preserving 32
supersymmetries.
| [
{
"created": "Wed, 27 Mar 2002 18:16:31 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Apr 2002 18:00:37 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Gauntlett",
"Jerome P.",
""
],
[
"Hull",
"Christopher M.",
""
]
] | The Killing spinor equations for pp-wave solutions of eleven dimensional supergravity are analysed and it is shown that there are solutions that preserve 18,20,22 and 24 supersymmetries, in addition to the generic solution preserving 16 supersymmetries and the Kowalski-Glikman solution preserving 32 supersymmetries. |
hep-th/9801028 | D. Maxera | D. Maxera | Nonlinear Realization of the General Covariance Group Revisited | 12 pages | null | null | PRA-HEP-98-1 | hep-th gr-qc | null | A modified algorithm for the construction of nonlinear realizations (sigma
models) is applied to the general covariance group. Our method features finite
dimensionality of the coset manifold by letting the vacuum stability group be
infinite. No decomposition of the symmetry group to its finite-dimensional
subgroups is required.
The expected result, i.e. Einstein-Cartan gravity, is finally obtained.
| [
{
"created": "Wed, 7 Jan 1998 17:14:14 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jan 1998 17:12:35 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Maxera",
"D.",
""
]
] | A modified algorithm for the construction of nonlinear realizations (sigma models) is applied to the general covariance group. Our method features finite dimensionality of the coset manifold by letting the vacuum stability group be infinite. No decomposition of the symmetry group to its finite-dimensional subgroups is required. The expected result, i.e. Einstein-Cartan gravity, is finally obtained. |
hep-th/9704074 | Sacha Antonov | A.Antonov, K.Hasegawa, A. Zabrodin | On trigonometric intertwining vectors and non-dynamical R-matrix for the
Ruijsenaars model | 20 pages, LaTeX, references are added | Nucl.Phys. B503 (1997) 747-770 | 10.1016/S0550-3213(97)00520-8 | LPTHE 97-09 | hep-th math.QA nlin.SI q-alg solv-int | null | We elaborate the trigonometric version of intertwining vectors and factorized
L-operators. The starting point is the corresponding elliptic construction with
Belavin's R-matrix. The naive trigonometric limit is singular and a careful
analysis is needed. It is shown that the construction admits several different
trigonometric degenerations. As a by-product, a quantum Lax operator for the
trigonometric Ruijsenaars model intertwined by a non-dynamical R-matrix is
obtained. The latter differs from the standard trigonometric R-matrix of $A_n$
type. A connection with the dynamical R-matrix approach is discussed.
| [
{
"created": "Wed, 9 Apr 1997 15:46:19 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Apr 1997 09:49:36 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Antonov",
"A.",
""
],
[
"Hasegawa",
"K.",
""
],
[
"Zabrodin",
"A.",
""
]
] | We elaborate the trigonometric version of intertwining vectors and factorized L-operators. The starting point is the corresponding elliptic construction with Belavin's R-matrix. The naive trigonometric limit is singular and a careful analysis is needed. It is shown that the construction admits several different trigonometric degenerations. As a by-product, a quantum Lax operator for the trigonometric Ruijsenaars model intertwined by a non-dynamical R-matrix is obtained. The latter differs from the standard trigonometric R-matrix of $A_n$ type. A connection with the dynamical R-matrix approach is discussed. |
2207.13003 | Klaus Bering | Klaus Bering | A note on tree factorization and no particle production | 18 pages, PDF only | J. Phys. A: Math. Theor. 56 (2023) 195401 | 10.1088/1751-8121/accb1e | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove factorization of the generating functional of connected tree
diagrams by exploring that it is the Legendre transform of the action. This
theorem is then applied to the example of a massive real scalar field theory in
2D. In the process we streamline the proof that the assumption of no particle
production leads to either the sin(h)-Gordon or the Bullough-Dodd model.
| [
{
"created": "Tue, 26 Jul 2022 16:00:25 GMT",
"version": "v1"
}
] | 2023-05-02 | [
[
"Bering",
"Klaus",
""
]
] | We prove factorization of the generating functional of connected tree diagrams by exploring that it is the Legendre transform of the action. This theorem is then applied to the example of a massive real scalar field theory in 2D. In the process we streamline the proof that the assumption of no particle production leads to either the sin(h)-Gordon or the Bullough-Dodd model. |
1709.09405 | Josef Kluson | J. Kluson | Canonical Analysis of Non-Relativistic Particle and Superparticle | 17 pages, references added | null | 10.1140/epjc/s10052-018-5609-3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform canonical analysis of non-relativistic particle in Newton-Cartan
Background. Then we extend this analysis to the case of non-relativistic
superparticle in the same background. We determine constraints structure of
this theory and find generator of \kappa-symmetry.
| [
{
"created": "Wed, 27 Sep 2017 09:21:05 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 2017 08:54:45 GMT",
"version": "v2"
}
] | 2018-04-04 | [
[
"Kluson",
"J.",
""
]
] | We perform canonical analysis of non-relativistic particle in Newton-Cartan Background. Then we extend this analysis to the case of non-relativistic superparticle in the same background. We determine constraints structure of this theory and find generator of \kappa-symmetry. |
1803.11027 | Dmitriy Pak | D.G. Pak and P.M. Zhang | Microscopic vacuum structure in a pure QCD | 5 pages, 4 figures, revised version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a class of stationary color magnetic solutions in a pure quantum
chromodynamics (QCD) which are stable under gluon quantum fluctuations. This
resolves a long-standing problem of microscopic description of a stable
non-trivial vacuum in a pure QCD. The solutions represent fixed points in a
full space of gauge fields under Weyl group transformations. An important
feature of the solutions is the phenomenon of Weyl invariant Abelian projection
and Abelian dominance in the vacuum structure. As an application of our
approach we consider an effective Lagrangian of pure Abelian glueballs in the
presence of vacuum gluon condensate.
| [
{
"created": "Thu, 29 Mar 2018 12:25:21 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2018 10:45:04 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Oct 2018 12:02:44 GMT",
"version": "v3"
}
] | 2018-10-22 | [
[
"Pak",
"D. G.",
""
],
[
"Zhang",
"P. M.",
""
]
] | We propose a class of stationary color magnetic solutions in a pure quantum chromodynamics (QCD) which are stable under gluon quantum fluctuations. This resolves a long-standing problem of microscopic description of a stable non-trivial vacuum in a pure QCD. The solutions represent fixed points in a full space of gauge fields under Weyl group transformations. An important feature of the solutions is the phenomenon of Weyl invariant Abelian projection and Abelian dominance in the vacuum structure. As an application of our approach we consider an effective Lagrangian of pure Abelian glueballs in the presence of vacuum gluon condensate. |
2108.01126 | Ignacio Araya | Ignacio J. Araya, Jose D. Edelstein, Alberto Rivadulla Sanchez, David
Vazquez Rodriguez, Alejandro Vilar Lopez | Universal renormalization procedure for higher curvature gravities in
D$\leq$5 | 33 pages, minor amendments and references added | null | 10.1007/JHEP09(2021)142 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We implement a universal method for renormalizing AdS gravity actions
applicable to arbitrary higher curvature theories in up to five dimensions. The
renormalization procedure considers the extrinsic counterterm for Einstein-AdS
gravity given by the Kounterterms scheme, but with a theory-dependent coupling
constant that is fixed by the requirement of renormalization for the vacuum
solution. This method is shown to work for a generic higher curvature gravity
with arbitrary couplings except for a zero measure subset, which includes
well-known examples where the asymptotic behavior is modified and the AdS vacua
are degenerate, such as Chern-Simons gravity in 5D, Conformal Gravity in 4D and
New Massive Gravity in 3D. In order to show the universality of the scheme, we
perform a decomposition of the equations of motion into their normal and
tangential components with respect to the Poincare coordinate and study the
Fefferman-Graham expansion of the metric. We verify the cancellation of
divergences of the on-shell action and the well-posedness of the variational
principle.
| [
{
"created": "Mon, 2 Aug 2021 19:01:40 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Aug 2021 16:23:48 GMT",
"version": "v2"
}
] | 2021-10-13 | [
[
"Araya",
"Ignacio J.",
""
],
[
"Edelstein",
"Jose D.",
""
],
[
"Sanchez",
"Alberto Rivadulla",
""
],
[
"Rodriguez",
"David Vazquez",
""
],
[
"Lopez",
"Alejandro Vilar",
""
]
] | We implement a universal method for renormalizing AdS gravity actions applicable to arbitrary higher curvature theories in up to five dimensions. The renormalization procedure considers the extrinsic counterterm for Einstein-AdS gravity given by the Kounterterms scheme, but with a theory-dependent coupling constant that is fixed by the requirement of renormalization for the vacuum solution. This method is shown to work for a generic higher curvature gravity with arbitrary couplings except for a zero measure subset, which includes well-known examples where the asymptotic behavior is modified and the AdS vacua are degenerate, such as Chern-Simons gravity in 5D, Conformal Gravity in 4D and New Massive Gravity in 3D. In order to show the universality of the scheme, we perform a decomposition of the equations of motion into their normal and tangential components with respect to the Poincare coordinate and study the Fefferman-Graham expansion of the metric. We verify the cancellation of divergences of the on-shell action and the well-posedness of the variational principle. |
1012.2393 | Carlos Farina | M.J. Neves, C. Farina and M.V. Cougo-Pinto | Past and future blurring at fundamental length scale | Essentially, this is the version published in the Phys. Rev. Lett.
105, 211601 (2010). It has 4 pages and contains 2 figures | Phys.Rev.Lett.105:211601,2010 | 10.1103/PhysRevLett.105.211601 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the $\kappa$-deformed versions of the retarded and advanced Green
functions and show that their causality properties are blurred in a time
interval of the order of a length parameter $q=1/(2\kappa)$. The functions also
indicate a smearing of the light cone. These results favor the interpretation
of $q$ as a fundamental length scale below which the concept of a point in
spacetime should be substituted by the concept of a fuzzy region of radius $q$,
as proposed long ago by Heisenberg.
| [
{
"created": "Fri, 10 Dec 2010 21:19:10 GMT",
"version": "v1"
}
] | 2010-12-15 | [
[
"Neves",
"M. J.",
""
],
[
"Farina",
"C.",
""
],
[
"Cougo-Pinto",
"M. V.",
""
]
] | We obtain the $\kappa$-deformed versions of the retarded and advanced Green functions and show that their causality properties are blurred in a time interval of the order of a length parameter $q=1/(2\kappa)$. The functions also indicate a smearing of the light cone. These results favor the interpretation of $q$ as a fundamental length scale below which the concept of a point in spacetime should be substituted by the concept of a fuzzy region of radius $q$, as proposed long ago by Heisenberg. |
hep-th/9112008 | V. P. Nair | K.Lee, V.P.Nair and Erick J.Weinberg | Black Holes in Magnetic Monopoles | (28 pages) | Phys.Rev. D45 (1992) 2751-2761 | 10.1103/PhysRevD.45.2751 | null | hep-th | null | We study magnetically charged classical solutions of a spontaneously broken
gauge theory interacting with gravity. We show that nonsingular monopole
solutions exist only if the Higgs vacuum expectation value $v$ is less than or
equal to a critical value $v_{cr}$, which is of the order of the Planck mass.
In the limiting case the monopole becomes a black hole, with the region outside
the horizon described by the critical Reissner-Nordstrom solution. For
$v<v_{cr}$, we find additional solutions which are singular at $r=0$, but which
have this singularity hidden within a horizon. These have nontrivial matter
fields outside the horizon, and may be interpreted as small black holes lying
within a magnetic monopole. The nature of these solutions as a function of $v$
and of the total mass $M$ and their relation to the Reissner-Nordstrom
solutions is discussed.
| [
{
"created": "Wed, 4 Dec 1991 16:00:30 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Lee",
"K.",
""
],
[
"Nair",
"V. P.",
""
],
[
"Weinberg",
"Erick J.",
""
]
] | We study magnetically charged classical solutions of a spontaneously broken gauge theory interacting with gravity. We show that nonsingular monopole solutions exist only if the Higgs vacuum expectation value $v$ is less than or equal to a critical value $v_{cr}$, which is of the order of the Planck mass. In the limiting case the monopole becomes a black hole, with the region outside the horizon described by the critical Reissner-Nordstrom solution. For $v<v_{cr}$, we find additional solutions which are singular at $r=0$, but which have this singularity hidden within a horizon. These have nontrivial matter fields outside the horizon, and may be interpreted as small black holes lying within a magnetic monopole. The nature of these solutions as a function of $v$ and of the total mass $M$ and their relation to the Reissner-Nordstrom solutions is discussed. |
2104.09257 | E. Aldo Arroyo | E. Aldo Arroyo | $KBc$ algebra and the gauge invariant overlap in open string field
theory | 25 pages | Prog. Theor. Exp. Phys. 2021 , 093B04 | 10.1093/ptep/ptab104 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study in detail the evaluation of the gauge invariant overlap for analytic
solutions constructed out of elements in the $KBc$ algebra in open string field
theory. We compute this gauge invariant observable using analytical and
numerical techniques based on the sliver frame $\mathcal{L}_0$ and traditional
Virasoro $L_0$ level expansions of the solutions.
| [
{
"created": "Mon, 19 Apr 2021 12:56:05 GMT",
"version": "v1"
}
] | 2021-09-27 | [
[
"Arroyo",
"E. Aldo",
""
]
] | We study in detail the evaluation of the gauge invariant overlap for analytic solutions constructed out of elements in the $KBc$ algebra in open string field theory. We compute this gauge invariant observable using analytical and numerical techniques based on the sliver frame $\mathcal{L}_0$ and traditional Virasoro $L_0$ level expansions of the solutions. |
2406.01466 | Chong-Sun Chu | Chong-Sun Chu | A Matrix Model Proposal for Quantum Gravity and the Quantum Mechanics of
Black Holes | v2: 16 pages. typo corrected. references added | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We propose a quantum mechanical theory of quantum spaces described by large
$N$ noncommutative geometry as a model for quantum gravity. The theory admits
fuzzy sphere as static solution. Over the fuzzy geometry, the quantum mechanics
of the fermions is given by a sum of oscillators with equal frequency. The
energy state where exactly half of the Fermi sea is filled contains the maximal
amount of degeneracy. This state of the fuzzy sphere obeys the mass-radius
relation of a Schwarzschild black hole if the fuzzy sphere is identified with
the black hole horizon. Moreover the set of states in the Fermi sea gives
precisely the Bekenstein-Hawking entropy. We thus propose that quantum black
holes are described by fuzzy spheres with a half-filled Fermi sea in our
theory. We also consider a system of two fuzzy spheres by embedding them as
blocks in the matrix quantum mechanics. When the distance $r$ between the two
fuzzy spheres is small, the total energy of the system can be computed using
perturbation theory. We show that in the leading order of large $N$ limit, the
interaction energy depends on the product of the black holes masses and the
Newton constant exactly as in Newton gravity. To extract the correct $r$
dependence in the long range, a resummation of all the large $N$ corrections is
needed. We outline how Newton gravity for static sources may be reproduced in
the long distance limit. We also show that the interaction energy is generally
finite in the short distance limit, suggesting that the black hole singularity
in general relativity is removed in our quantum description of black hole.
| [
{
"created": "Mon, 3 Jun 2024 15:56:37 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2024 04:03:02 GMT",
"version": "v2"
}
] | 2024-06-18 | [
[
"Chu",
"Chong-Sun",
""
]
] | We propose a quantum mechanical theory of quantum spaces described by large $N$ noncommutative geometry as a model for quantum gravity. The theory admits fuzzy sphere as static solution. Over the fuzzy geometry, the quantum mechanics of the fermions is given by a sum of oscillators with equal frequency. The energy state where exactly half of the Fermi sea is filled contains the maximal amount of degeneracy. This state of the fuzzy sphere obeys the mass-radius relation of a Schwarzschild black hole if the fuzzy sphere is identified with the black hole horizon. Moreover the set of states in the Fermi sea gives precisely the Bekenstein-Hawking entropy. We thus propose that quantum black holes are described by fuzzy spheres with a half-filled Fermi sea in our theory. We also consider a system of two fuzzy spheres by embedding them as blocks in the matrix quantum mechanics. When the distance $r$ between the two fuzzy spheres is small, the total energy of the system can be computed using perturbation theory. We show that in the leading order of large $N$ limit, the interaction energy depends on the product of the black holes masses and the Newton constant exactly as in Newton gravity. To extract the correct $r$ dependence in the long range, a resummation of all the large $N$ corrections is needed. We outline how Newton gravity for static sources may be reproduced in the long distance limit. We also show that the interaction energy is generally finite in the short distance limit, suggesting that the black hole singularity in general relativity is removed in our quantum description of black hole. |
hep-th/9509050 | null | A.A. Tseytlin | On singularities of spherically symmetric backgrounds in string theory | 12 pages, harvmac | Phys.Lett.B363:223-229,1995 | 10.1016/0370-2693(95)01228-7 | Imperial/TP/94-95/54 | hep-th | null | We suggest that for singular rotationally invariant closed string backgrounds
which need sources for their support at the origin (in particular, for special
plane waves and fundamental strings) certain `trivial' \a'-corrections (which
are usually ignored since in the absence of sources they can be eliminated by a
field redefinition) may play an important role eliminating the singularities in
the exact solutions. These corrections effectively regularize the source
delta-function at the \a'-scale. We demonstrate that similar smearing of the
singularity of the leading-order point-source solution indeed takes place in
the open string theory.
| [
{
"created": "Fri, 8 Sep 1995 22:29:36 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Tseytlin",
"A. A.",
""
]
] | We suggest that for singular rotationally invariant closed string backgrounds which need sources for their support at the origin (in particular, for special plane waves and fundamental strings) certain `trivial' \a'-corrections (which are usually ignored since in the absence of sources they can be eliminated by a field redefinition) may play an important role eliminating the singularities in the exact solutions. These corrections effectively regularize the source delta-function at the \a'-scale. We demonstrate that similar smearing of the singularity of the leading-order point-source solution indeed takes place in the open string theory. |
hep-th/0605222 | Hong Lu | H. Lu and C.N. Pope | Resolutions of Cones over Einstein-Sasaki Spaces | Latex, 23 pages | Nucl.Phys.B782:171-188,2007 | 10.1016/j.nuclphysb.2007.04.017 | MIFP-06-13 | hep-th gr-qc | null | Recently an explicit resolution of the Calabi-Yau cone over the inhomogeneous
five-dimensional Einstein-Sasaki space Y^{2,1} was obtained. It was constructed
by specialising the parameters in the BPS limit of recently-discovered
Kerr-NUT-AdS metrics in higher dimensions. We study the occurrence of such
non-singular resolutions of Calabi-Yau cones in a more general context.
Although no further six-dimensional examples arise as resolutions of cones over
the L^{pqr} Einstein-Sasaki spaces, we find general classes of non-singular
cohomogeneity-2 resolutions of higher-dimensional Einstein-Sasaki spaces. The
topologies of the resolved spaces are of the form of an R^2 bundle over a base
manifold that is itself an $S^2$ bundle over an Einstein-Kahler manifold.
| [
{
"created": "Mon, 22 May 2006 20:14:00 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | Recently an explicit resolution of the Calabi-Yau cone over the inhomogeneous five-dimensional Einstein-Sasaki space Y^{2,1} was obtained. It was constructed by specialising the parameters in the BPS limit of recently-discovered Kerr-NUT-AdS metrics in higher dimensions. We study the occurrence of such non-singular resolutions of Calabi-Yau cones in a more general context. Although no further six-dimensional examples arise as resolutions of cones over the L^{pqr} Einstein-Sasaki spaces, we find general classes of non-singular cohomogeneity-2 resolutions of higher-dimensional Einstein-Sasaki spaces. The topologies of the resolved spaces are of the form of an R^2 bundle over a base manifold that is itself an $S^2$ bundle over an Einstein-Kahler manifold. |
1001.3958 | Sandor Nagy | J. Kovacs, S. Nagy, I. Nandori, K. Sailer | Renormalization of QCD_2 | 15 pages, 3 figures, final version | JHEP 1101:126,2011 | 10.1007/JHEP01(2011)126 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The low energy infrared scaling of the multi-color 2-dimensional quantum
chromodynamics is determined in the framework of its bosonized model by using
the functional renormalization group method with gliding sharp cut-off k in
momentum space in the local potential approximation. The model exhibits a
single phase with a superuniversal effective potential.
| [
{
"created": "Fri, 22 Jan 2010 10:53:10 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2011 13:31:30 GMT",
"version": "v2"
}
] | 2011-02-03 | [
[
"Kovacs",
"J.",
""
],
[
"Nagy",
"S.",
""
],
[
"Nandori",
"I.",
""
],
[
"Sailer",
"K.",
""
]
] | The low energy infrared scaling of the multi-color 2-dimensional quantum chromodynamics is determined in the framework of its bosonized model by using the functional renormalization group method with gliding sharp cut-off k in momentum space in the local potential approximation. The model exhibits a single phase with a superuniversal effective potential. |
1304.0007 | Bom Soo Kim | Seungjoon Hyun, Jaehoon Jeong and Bom Soo Kim | Aging Logarithmic Galilean Field Theories | 1+35 pages, 11 figures, v2 : minor corrections, published version | Nucl. Phys. B 874 (2013) 358 | 10.1016/j.nuclphysb.2013.05.018 | CQUeST-2013-0593, TAUP-2963/13 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analytically compute correlation and response functions of scalar
operators for the systems with Galilean and corresponding aging symmetries for
general spatial dimensions $d$ and dynamical exponent $z$, along with their
logarithmic and logarithmic squared extensions, using the gauge/gravity
duality. These non-conformal extensions of the aging geometry are marked by two
dimensionful parameters, eigenvalue $\mathcal M$ of an internal coordinate and
aging parameter $\alpha$.
We further perform systematic investigations on two-time response functions
for general $d$ and $z$, and identify the growth exponent as a function of the
scaling dimensions $\Delta$ of the dual field theory operators and aging
parameter $\alpha$ in our theory. The initial growth exponent is only
controlled by $\Delta$, while its late time behavior by $\alpha$ as well as
$\Delta$. These behaviors are separated by a time scale order of the waiting
time. We attempt to make contact our results with some field theoretical growth
models, such as Kim-Kosterlitz model at higher number of spatial dimensions
$d$.
| [
{
"created": "Fri, 29 Mar 2013 20:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2013 11:42:14 GMT",
"version": "v2"
}
] | 2013-06-14 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Jeong",
"Jaehoon",
""
],
[
"Kim",
"Bom Soo",
""
]
] | We analytically compute correlation and response functions of scalar operators for the systems with Galilean and corresponding aging symmetries for general spatial dimensions $d$ and dynamical exponent $z$, along with their logarithmic and logarithmic squared extensions, using the gauge/gravity duality. These non-conformal extensions of the aging geometry are marked by two dimensionful parameters, eigenvalue $\mathcal M$ of an internal coordinate and aging parameter $\alpha$. We further perform systematic investigations on two-time response functions for general $d$ and $z$, and identify the growth exponent as a function of the scaling dimensions $\Delta$ of the dual field theory operators and aging parameter $\alpha$ in our theory. The initial growth exponent is only controlled by $\Delta$, while its late time behavior by $\alpha$ as well as $\Delta$. These behaviors are separated by a time scale order of the waiting time. We attempt to make contact our results with some field theoretical growth models, such as Kim-Kosterlitz model at higher number of spatial dimensions $d$. |
1209.3205 | Guido Macorini Dr | Matteo Beccaria, Guido Macorini, CarloAlberto Ratti and Saulius
Valatka | Semiclassical energy of the $AdS_4 \times \mathbb{CP}^3$ folded string | Proceedings of International Conference on Integrable Systems and
Quantum symmetries - ISQS-20 (2012) | null | 10.1088/1742-6596/411/1/012006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the classical solution describing a folded type IIA string in the
background $AdS_4 \times \mathbb{CP}^3$. The string is spinning in $AdS$ and
has angular momentum in $\mathbb{CP}^3$. In the 't Hooft limit, this is the
gravity dual of twist operators in the ABJM superconformal theory. We quantize
the classical solution by algebraic curve methods and determine the first
semiclassical correction to the energy. An integral representation is given,
valid for all values of the charges. We analyze its properties in the special
regimes associated with a short or long string. Finally, we investigate various
properties of the leading term of the energy for short strings (the so-called
slope).
| [
{
"created": "Fri, 14 Sep 2012 14:33:17 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Beccaria",
"Matteo",
""
],
[
"Macorini",
"Guido",
""
],
[
"Ratti",
"CarloAlberto",
""
],
[
"Valatka",
"Saulius",
""
]
] | We consider the classical solution describing a folded type IIA string in the background $AdS_4 \times \mathbb{CP}^3$. The string is spinning in $AdS$ and has angular momentum in $\mathbb{CP}^3$. In the 't Hooft limit, this is the gravity dual of twist operators in the ABJM superconformal theory. We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy. An integral representation is given, valid for all values of the charges. We analyze its properties in the special regimes associated with a short or long string. Finally, we investigate various properties of the leading term of the energy for short strings (the so-called slope). |
1908.09388 | Albert Schwarz | Albert Schwarz | Scattering matrix and inclusive scattering matrix in algebraic quantum
field theory | Improved proofs. Some new results/ | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the scattering of particles and quasiparticles in the framework of
algebraic quantum field theory. The main novelty is the construction of
inclusive scattering matrix related to inclusive cross-sections. The inclusive
scattering matrix can be expressed in terms of generalized Green functions by a
formula similar to the LSZ formula for the conventional scattering matrix.
The consideration of inclusive scattering matrix is necessary in quantum
field theory if a unitary scattering matrix does not exist (if the theory does
not have particle interpretation). It is always necessary if we want to
consider collisions of quasiparticles.
| [
{
"created": "Sun, 25 Aug 2019 20:34:49 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Dec 2019 08:11:29 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Oct 2022 06:49:59 GMT",
"version": "v3"
}
] | 2022-10-11 | [
[
"Schwarz",
"Albert",
""
]
] | We study the scattering of particles and quasiparticles in the framework of algebraic quantum field theory. The main novelty is the construction of inclusive scattering matrix related to inclusive cross-sections. The inclusive scattering matrix can be expressed in terms of generalized Green functions by a formula similar to the LSZ formula for the conventional scattering matrix. The consideration of inclusive scattering matrix is necessary in quantum field theory if a unitary scattering matrix does not exist (if the theory does not have particle interpretation). It is always necessary if we want to consider collisions of quasiparticles. |
0709.4369 | Yu-Xiao Liu | Yu-Xiao Liu, Li-Jie Zhang, Yi-Shi Duan | Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere | 8 pages, no figures, accepted by Commun. Theor. Phys; V4: one
reference added | Commun.Theor.Phys.49:1577-1579,2008 | 10.1088/0253-6102/49/6/47 | null | hep-th | null | In this letter we study fermionic zero modes in gauge and gravity backgrounds
taking a two dimensional compact manifold $S^2$ as extra dimensions. The result
is that there exist massless Dirac fermions which have normalizable zero modes
under quite general assumptions about these backgrounds on the bulk. Several
special cases of gauge background on the sphere are discussed and some simple
fermionic zero modes are obtained.
| [
{
"created": "Thu, 27 Sep 2007 12:03:49 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Sep 2007 12:21:50 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Oct 2007 11:37:07 GMT",
"version": "v3"
},
{
"created": "Tue, 16 Oct 2007 01:34:06 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhang",
"Li-Jie",
""
],
[
"Duan",
"Yi-Shi",
""
]
] | In this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold $S^2$ as extra dimensions. The result is that there exist massless Dirac fermions which have normalizable zero modes under quite general assumptions about these backgrounds on the bulk. Several special cases of gauge background on the sphere are discussed and some simple fermionic zero modes are obtained. |
hep-th/0512101 | Simone Giombi | Simone Giombi, Manuela Kulaxizi, Riccardo Ricci, Diego Trancanelli | Half-BPS Geometries and Thermodynamics of Free Fermions | 37 pages, 2 figures, latex; v2: minor corrections, references added | JHEP 0701:067,2007 | 10.1088/1126-6708/2007/01/067 | YITP-SB-05-44 | hep-th | null | Solutions of type IIB supergravity which preserve half of the supersymmetries
have a dual description in terms of free fermions, as elucidated by the
"bubbling AdS" construction of Lin, Lunin and Maldacena. In this paper we study
the half-BPS geometry associated with a gas of free fermions in thermodynamic
equilibrium obeying the Fermi-Dirac distribution. We consider both regimes of
low and high temperature. In the former case, we present a detailed computation
of the ADM mass of the supergravity solution and find agreement with the
thermal energy of the fermions. The solution has a naked null singularity and,
by general arguments, is expected to develop a finite area horizon once stringy
corrections are included. By introducing a stretched horizon, we propose a way
to match the entropy of the fermions with the entropy of the geometry in the
low temperature regime. In the opposite limit of high temperature, the solution
resembles a dilute gas of D3 branes. Also in this case the ADM mass of the
geometry agrees with the thermal energy of the fermions.
| [
{
"created": "Thu, 8 Dec 2005 20:36:08 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Mar 2007 22:50:06 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Giombi",
"Simone",
""
],
[
"Kulaxizi",
"Manuela",
""
],
[
"Ricci",
"Riccardo",
""
],
[
"Trancanelli",
"Diego",
""
]
] | Solutions of type IIB supergravity which preserve half of the supersymmetries have a dual description in terms of free fermions, as elucidated by the "bubbling AdS" construction of Lin, Lunin and Maldacena. In this paper we study the half-BPS geometry associated with a gas of free fermions in thermodynamic equilibrium obeying the Fermi-Dirac distribution. We consider both regimes of low and high temperature. In the former case, we present a detailed computation of the ADM mass of the supergravity solution and find agreement with the thermal energy of the fermions. The solution has a naked null singularity and, by general arguments, is expected to develop a finite area horizon once stringy corrections are included. By introducing a stretched horizon, we propose a way to match the entropy of the fermions with the entropy of the geometry in the low temperature regime. In the opposite limit of high temperature, the solution resembles a dilute gas of D3 branes. Also in this case the ADM mass of the geometry agrees with the thermal energy of the fermions. |
hep-th/0203179 | Masao Jinzenji | Masao Jinzenji (Univ. of Hokkaido, Math. Dept.), Toru Sasaki (Univ. of
Hokkaido, Phys. Dept.) | An Approach to ${\cal N}=4$ ADE Gauge Theory on K3 | 28 pages, Latex, enlarged published version | JHEP 0209 (2002) 002 | 10.1088/1126-6708/2002/09/002 | EPHOU-02-002 | hep-th math.AG | null | We propose a recipe for determination of the partition function of ${\cal
N}=4$ $ADE$ gauge theory on $K3$ by generalizing our previous results of the
SU(N) case. The resulting partition function satisfies Montonen-Olive duality
for $ADE $ gauge group.
| [
{
"created": "Wed, 20 Mar 2002 07:41:31 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Sep 2002 08:05:18 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Jinzenji",
"Masao",
"",
"Univ. of Hokkaido, Math. Dept."
],
[
"Sasaki",
"Toru",
"",
"Univ. of\n Hokkaido, Phys. Dept."
]
] | We propose a recipe for determination of the partition function of ${\cal N}=4$ $ADE$ gauge theory on $K3$ by generalizing our previous results of the SU(N) case. The resulting partition function satisfies Montonen-Olive duality for $ADE $ gauge group. |
1605.06531 | Cyril Closset | Cyril Closset and Heeyeon Kim | Comments on twisted indices in 3d supersymmetric gauge theories | 66 pages plus appendix; v2: corrected typos and added references | null | 10.1007/JHEP08(2016)059 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study three-dimensional ${\mathcal N}=2$ supersymmetric gauge theories on
${\Sigma_g \times S^1}$ with a topological twist along $\Sigma_g$, a genus-$g$
Riemann surface. The twisted supersymmetric index at genus $g$ and the
correlation functions of half-BPS loop operators on $S^1$ can be computed
exactly by supersymmetric localization. For $g=1$, this gives a simple UV
computation of the 3d Witten index. Twisted indices provide us with a clean
derivation of the quantum algebra of supersymmetric Wilson loops, for any
Yang-Mills-Chern-Simons-matter theory, in terms of the associated Bethe
equations for the theory on ${\mathbb R}^2 \times S^1$. This also provides a
powerful and simple tool to study 3d ${\mathcal N}=2$ Seiberg dualities.
Finally, we study A- and B-twisted indices for ${\mathcal N}=4$ supersymmetric
gauge theories, which turns out to be very useful for quantitative studies of
three-dimensional mirror symmetry. We also briefly comment on a relation
between the $S^2 \times S^1$ twisted indices and the Hilbert series of
${\mathcal N}=4$ moduli spaces.
| [
{
"created": "Fri, 20 May 2016 20:34:26 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2016 00:45:22 GMT",
"version": "v2"
}
] | 2016-09-21 | [
[
"Closset",
"Cyril",
""
],
[
"Kim",
"Heeyeon",
""
]
] | We study three-dimensional ${\mathcal N}=2$ supersymmetric gauge theories on ${\Sigma_g \times S^1}$ with a topological twist along $\Sigma_g$, a genus-$g$ Riemann surface. The twisted supersymmetric index at genus $g$ and the correlation functions of half-BPS loop operators on $S^1$ can be computed exactly by supersymmetric localization. For $g=1$, this gives a simple UV computation of the 3d Witten index. Twisted indices provide us with a clean derivation of the quantum algebra of supersymmetric Wilson loops, for any Yang-Mills-Chern-Simons-matter theory, in terms of the associated Bethe equations for the theory on ${\mathbb R}^2 \times S^1$. This also provides a powerful and simple tool to study 3d ${\mathcal N}=2$ Seiberg dualities. Finally, we study A- and B-twisted indices for ${\mathcal N}=4$ supersymmetric gauge theories, which turns out to be very useful for quantitative studies of three-dimensional mirror symmetry. We also briefly comment on a relation between the $S^2 \times S^1$ twisted indices and the Hilbert series of ${\mathcal N}=4$ moduli spaces. |
2108.04637 | Yoshiki Sato | Yoshiki Sato | Complexity in a moving mirror model | 19 pages, 11 figures, v2: published version | null | 10.1103/PhysRevD.105.086016 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In a two-dimensional conformal field theory with a moving mirror, known as a
moving mirror model, the time evolution of the entanglement entropy shows a
Page like curve. This implies that the moving mirror model is useful to
understand the island formula. In this paper, we study the time evolution of
the subregion CV complexity in the moving mirror model for a better
understanding of the island formula of the complexity. In contrast to the
entanglement entropy, the subregion CV complexity shows a peculiar behaviour.
We discuss this behaviour in more detail.
| [
{
"created": "Tue, 10 Aug 2021 12:39:32 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Apr 2022 04:32:27 GMT",
"version": "v2"
}
] | 2022-04-22 | [
[
"Sato",
"Yoshiki",
""
]
] | In a two-dimensional conformal field theory with a moving mirror, known as a moving mirror model, the time evolution of the entanglement entropy shows a Page like curve. This implies that the moving mirror model is useful to understand the island formula. In this paper, we study the time evolution of the subregion CV complexity in the moving mirror model for a better understanding of the island formula of the complexity. In contrast to the entanglement entropy, the subregion CV complexity shows a peculiar behaviour. We discuss this behaviour in more detail. |
hep-th/9202023 | Jorge Pullin | Richard H. Price and Jorge Pullin | The Emergence of Radiation from Gravitational Potential Wells: The
Absence of $\omega M$ Effects | 29pp | Phys.Rev. D46 (1992) 2497-2506 | 10.1103/PhysRevD.46.2497 | null | hep-th | null | We consider a source of gravitational waves of frequency $\omega$, located
near the center of a massive galaxy of mass $M$ and radius $R$, with $\omega\gg
R^{-1}$. In the case of a perfect fluid galaxy, and of odd-parity waves, there
is no direct matter-wave interaction and the propagation of the waves is
affected by the galaxy only through the curvature of the spacetime background
through which the waves propagate. We find that, in addition to the expected
redshift of the radiation emerging from the galaxy, there is a small amount of
backscatter, of order $M/\omega^2R^3$. We show that there is no suppression of
radiative power by the factor $1+\omega^2M^2/4$ as has been recently predicted
by Kundu. The origin of Kundu's suppression lies in the interpretation of a
term in the expansion of the exterior field of the galaxy in inverse powers of
radius. It is shown why that term is not related to the source strength or to
the strength of the emerging radiation.
| [
{
"created": "Fri, 7 Feb 1992 02:43:10 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Price",
"Richard H.",
""
],
[
"Pullin",
"Jorge",
""
]
] | We consider a source of gravitational waves of frequency $\omega$, located near the center of a massive galaxy of mass $M$ and radius $R$, with $\omega\gg R^{-1}$. In the case of a perfect fluid galaxy, and of odd-parity waves, there is no direct matter-wave interaction and the propagation of the waves is affected by the galaxy only through the curvature of the spacetime background through which the waves propagate. We find that, in addition to the expected redshift of the radiation emerging from the galaxy, there is a small amount of backscatter, of order $M/\omega^2R^3$. We show that there is no suppression of radiative power by the factor $1+\omega^2M^2/4$ as has been recently predicted by Kundu. The origin of Kundu's suppression lies in the interpretation of a term in the expansion of the exterior field of the galaxy in inverse powers of radius. It is shown why that term is not related to the source strength or to the strength of the emerging radiation. |
1708.05778 | James Gordon | James Gordon | Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar
limit | 20 pages, 4 figures; typos fixed, references added | null | 10.1007/JHEP01(2018)107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the $\frac{1}{2}$-BPS circular Wilson loop in the totally
antisymmetric representation of the gauge group in $\mathcal N =4 $
supersymmetric Yang-Mills. This observable is captured by a Gaussian matrix
model with appropriate insertion. We compute the first $1/N$ correction at
leading order in 't Hooft coupling by means of the matrix model loop equations.
Disagreement with the 1-loop effective action of the holographically dual
$D5$-brane suggests the need to account for gravitational backreaction on the
string theory side.
| [
{
"created": "Fri, 18 Aug 2017 22:51:58 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2017 18:05:28 GMT",
"version": "v2"
}
] | 2018-03-14 | [
[
"Gordon",
"James",
""
]
] | We study the $\frac{1}{2}$-BPS circular Wilson loop in the totally antisymmetric representation of the gauge group in $\mathcal N =4 $ supersymmetric Yang-Mills. This observable is captured by a Gaussian matrix model with appropriate insertion. We compute the first $1/N$ correction at leading order in 't Hooft coupling by means of the matrix model loop equations. Disagreement with the 1-loop effective action of the holographically dual $D5$-brane suggests the need to account for gravitational backreaction on the string theory side. |
2212.09743 | Jonathan Heckman | Jonathan J. Heckman, Max Hubner, Ethan Torres, Xingyang Yu, and Hao Y.
Zhang | Top Down Approach to Topological Duality Defects | v4: 62 pages, 22 figures, clarifications added, typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Topological duality defects arise as codimension one generalized symmetry
operators in quantum field theories (QFTs) with a duality symmetry. Recent
investigations have shown that in the case of 4D $\mathcal{N} = 4$ Super
Yang-Mills (SYM) theory, an appropriate choice of (complexified) gauge coupling
and global form of the gauge group can lead to a rather rich fusion algebra for
the associated defects, leading to examples of non-invertible symmetries. In
this work we present a top down construction of these duality defects which
generalizes to QFTs with lower supersymmetry, where other 0-form symmetries are
often present. We realize the QFTs of interest via D3-branes probing $X$ a
Calabi-Yau threefold cone with an isolated singularity at the tip of the cone.
The IIB duality group descends to dualities of the 4D worldvolume theory.
Non-trivial codimension one topological interfaces arise from configurations of
7-branes "at infinity" which implement a suitable $SL(2, \mathbb{Z})$
transformation when they are crossed. Reduction on the boundary topology
$\partial X$ results in a 5D symmetry TFT. Different realizations of duality
defects, such as the gauging of 1-form symmetries with certain mixed anomalies
and half-space gauging constructions, simply amount to distinct choices of
where to place the branch cuts in the 5D bulk.
| [
{
"created": "Mon, 19 Dec 2022 18:59:27 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Apr 2023 16:37:18 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Jul 2023 01:47:27 GMT",
"version": "v3"
},
{
"created": "Thu, 16 May 2024 00:56:08 GMT",
"version": "v4"
}
] | 2024-05-17 | [
[
"Heckman",
"Jonathan J.",
""
],
[
"Hubner",
"Max",
""
],
[
"Torres",
"Ethan",
""
],
[
"Yu",
"Xingyang",
""
],
[
"Zhang",
"Hao Y.",
""
]
] | Topological duality defects arise as codimension one generalized symmetry operators in quantum field theories (QFTs) with a duality symmetry. Recent investigations have shown that in the case of 4D $\mathcal{N} = 4$ Super Yang-Mills (SYM) theory, an appropriate choice of (complexified) gauge coupling and global form of the gauge group can lead to a rather rich fusion algebra for the associated defects, leading to examples of non-invertible symmetries. In this work we present a top down construction of these duality defects which generalizes to QFTs with lower supersymmetry, where other 0-form symmetries are often present. We realize the QFTs of interest via D3-branes probing $X$ a Calabi-Yau threefold cone with an isolated singularity at the tip of the cone. The IIB duality group descends to dualities of the 4D worldvolume theory. Non-trivial codimension one topological interfaces arise from configurations of 7-branes "at infinity" which implement a suitable $SL(2, \mathbb{Z})$ transformation when they are crossed. Reduction on the boundary topology $\partial X$ results in a 5D symmetry TFT. Different realizations of duality defects, such as the gauging of 1-form symmetries with certain mixed anomalies and half-space gauging constructions, simply amount to distinct choices of where to place the branch cuts in the 5D bulk. |
hep-th/9412177 | Kalmykov M. Yu | M.Yu.Kalmykov and P.I.Pronin | The One-Loop Divergences of the Linear Gravity with the Torsion Terms | 13 pages in LATEX. (The title and references are changed. The
discussion of the BRST-symmetry added.) | Gen.Rel.Grav.27:873-886,1995 | 10.1007/BF02113069 | null | hep-th gr-qc | null | We investigate the role of the torsion field at the quantum level in the
affine-metric theory of gravity. One-loop counterterms are calculated in the
theory with terms quadratic in the torsion field.
| [
{
"created": "Tue, 20 Dec 1994 15:41:15 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jul 1995 14:45:05 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Kalmykov",
"M. Yu.",
""
],
[
"Pronin",
"P. I.",
""
]
] | We investigate the role of the torsion field at the quantum level in the affine-metric theory of gravity. One-loop counterterms are calculated in the theory with terms quadratic in the torsion field. |
hep-th/0503131 | Damiano Anselmi | Damiano Anselmi | Infinite reduction of couplings in non-renormalizable quantum field
theory | 40 pages; v2: more explanatory comments; appeared in JHEP | JHEP 0508 (2005) 029 | 10.1088/1126-6708/2005/08/029 | IFUP-TH 2005/08 | hep-th | null | I study the problem of renormalizing a non-renormalizable theory with a
reduced, eventually finite, set of independent couplings. The idea is to look
for special relations that express the coefficients of the irrelevant terms as
unique functions of a reduced set of independent couplings lambda, such that
the divergences are removed by means of field redefinitions plus
renormalization constants for the lambda's. I consider non-renormalizable
theories whose renormalizable subsector R is interacting and does not contain
relevant parameters. The "infinite" reduction is determined by i) perturbative
meromorphy around the free-field limit of R, or ii) analyticity around the
interacting fixed point of R. In general, prescriptions i) and ii) mutually
exclude each other. When the reduction is formulated using i), the number of
independent couplings remains finite or slowly grows together with the order of
the expansion. The growth is slow in the sense that a reasonably small set of
parameters is sufficient to make predictions up to very high orders. Instead,
in case ii) the number of couplings generically remains finite. The infinite
reduction is a tool to classify the irrelevant interactions and address the
problem of their physical selection.
| [
{
"created": "Wed, 16 Mar 2005 13:11:36 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Aug 2005 10:09:02 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Anselmi",
"Damiano",
""
]
] | I study the problem of renormalizing a non-renormalizable theory with a reduced, eventually finite, set of independent couplings. The idea is to look for special relations that express the coefficients of the irrelevant terms as unique functions of a reduced set of independent couplings lambda, such that the divergences are removed by means of field redefinitions plus renormalization constants for the lambda's. I consider non-renormalizable theories whose renormalizable subsector R is interacting and does not contain relevant parameters. The "infinite" reduction is determined by i) perturbative meromorphy around the free-field limit of R, or ii) analyticity around the interacting fixed point of R. In general, prescriptions i) and ii) mutually exclude each other. When the reduction is formulated using i), the number of independent couplings remains finite or slowly grows together with the order of the expansion. The growth is slow in the sense that a reasonably small set of parameters is sufficient to make predictions up to very high orders. Instead, in case ii) the number of couplings generically remains finite. The infinite reduction is a tool to classify the irrelevant interactions and address the problem of their physical selection. |
1809.02944 | Ali Chamseddine | Ali H. Chamseddine, Alain Connes and Walter D. van Suijlekom | Entropy and the spectral action | 15 pages | null | 10.1007/s00220-019-03297-8 | null | hep-th math.NT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the information theoretic von Neumann entropy of the state
associated to the fermionic second quantization of a spectral triple. We show
that this entropy is given by the spectral action of the spectral triple for a
specific universal function. The main result of our paper is the surprising
relation between this function and the Riemann zeta function. It manifests
itself in particular by the values of the coefficients $c(d)$ by which it
multiplies the $d$ dimensional terms in the heat expansion of the spectral
triple. We find that $c(d)$ is the product of the Riemann xi function evaluated
at $-d$ by an elementary expression. In particular $c(4)$ is a rational
multiple of $\zeta(5)$ and $c(2)$ a rational multiple of $\zeta(3)$. The
functional equation gives a duality between the coefficients in positive
dimension, which govern the high energy expansion, and the coefficients in
negative dimension, exchanging even dimension with odd dimension.
| [
{
"created": "Sun, 9 Sep 2018 09:20:57 GMT",
"version": "v1"
}
] | 2019-02-20 | [
[
"Chamseddine",
"Ali H.",
""
],
[
"Connes",
"Alain",
""
],
[
"van Suijlekom",
"Walter D.",
""
]
] | We compute the information theoretic von Neumann entropy of the state associated to the fermionic second quantization of a spectral triple. We show that this entropy is given by the spectral action of the spectral triple for a specific universal function. The main result of our paper is the surprising relation between this function and the Riemann zeta function. It manifests itself in particular by the values of the coefficients $c(d)$ by which it multiplies the $d$ dimensional terms in the heat expansion of the spectral triple. We find that $c(d)$ is the product of the Riemann xi function evaluated at $-d$ by an elementary expression. In particular $c(4)$ is a rational multiple of $\zeta(5)$ and $c(2)$ a rational multiple of $\zeta(3)$. The functional equation gives a duality between the coefficients in positive dimension, which govern the high energy expansion, and the coefficients in negative dimension, exchanging even dimension with odd dimension. |
1606.07084 | Anirban Basu | Anirban Basu | Proving relations between modular graph functions | 28 pages, LaTeX, 29 figures | null | 10.1088/0264-9381/33/23/235011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider modular graph functions that arise in the low energy expansion of
the four graviton amplitude in type II string theory. The vertices of these
graphs are the positions of insertions of vertex operators on the toroidal
worldsheet, while the links are the scalar Green functions connecting the
vertices. Graphs with four and five links satisfy several non--trivial
relations, which have been proved recently. We prove these relations by using
elementary properties of Green functions and the details of the graphs. We also
prove a relation between modular graph functions with six links.
| [
{
"created": "Wed, 22 Jun 2016 20:08:36 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Dec 2016 06:57:03 GMT",
"version": "v2"
}
] | 2016-12-06 | [
[
"Basu",
"Anirban",
""
]
] | We consider modular graph functions that arise in the low energy expansion of the four graviton amplitude in type II string theory. The vertices of these graphs are the positions of insertions of vertex operators on the toroidal worldsheet, while the links are the scalar Green functions connecting the vertices. Graphs with four and five links satisfy several non--trivial relations, which have been proved recently. We prove these relations by using elementary properties of Green functions and the details of the graphs. We also prove a relation between modular graph functions with six links. |
hep-th/0606037 | Ari Pakman | Anindya Mukherjee, Sunil Mukhi, Ari Pakman | FZZ Algebra | 23 pages, JHEP style. v2: small modifications to better clarify some
of the arguments | JHEP 0701:025,2007 | 10.1088/1126-6708/2007/01/025 | TIFR/TH/06-12, YITP-SB-06-10 | hep-th | null | The duality between the Sine-Liouville conformal field theory and the two
dimensional black hole is revisited by considering the two possible
Sine-Liouville dressings together. We show that this choice is consistent with
the structure of correlation functions, and that the OPE of the two dressings
yields the black hole deformation operator. As an application of this approach,
we investigate the role of higher winding perturbations in the context of c=1
strings, where we argue that they are related to higher-spin discrete states
that generalize the 2d black hole operator.
| [
{
"created": "Mon, 5 Jun 2006 17:15:34 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Dec 2006 12:52:56 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Mukherjee",
"Anindya",
""
],
[
"Mukhi",
"Sunil",
""
],
[
"Pakman",
"Ari",
""
]
] | The duality between the Sine-Liouville conformal field theory and the two dimensional black hole is revisited by considering the two possible Sine-Liouville dressings together. We show that this choice is consistent with the structure of correlation functions, and that the OPE of the two dressings yields the black hole deformation operator. As an application of this approach, we investigate the role of higher winding perturbations in the context of c=1 strings, where we argue that they are related to higher-spin discrete states that generalize the 2d black hole operator. |
hep-th/0406048 | Shevchenko O. Yu. | A.N. Sissakian, O.Yu. Shevchenko, V.N. Samoilov | Possibility of a dynamical Higgs mechanism and of the respective phase
transition induced by a boundary | null | Phys.Rev. D69 (2004) 061701 | 10.1103/PhysRevD.69.061701 | null | hep-th | null | The dynamical quantum effects arising due to the boundary presence with two
types of boundary conditions (BC) satisfied by scalar fields are studied. It is
shown that while the Neumann BC lead to the usual scalar field mass generation,
the Dirichlet BC give rise to the dynamical mechanism of spontaneous symmetry
breaking. Due to the later, there arises the possibility of the respective
phase transition from the normal phase to the spontaneously broken one. In
particular, at the critical value of the combined evolution parameter the usual
massless scalar QED transforms to the Higgs model.
| [
{
"created": "Fri, 4 Jun 2004 14:55:11 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Sissakian",
"A. N.",
""
],
[
"Shevchenko",
"O. Yu.",
""
],
[
"Samoilov",
"V. N.",
""
]
] | The dynamical quantum effects arising due to the boundary presence with two types of boundary conditions (BC) satisfied by scalar fields are studied. It is shown that while the Neumann BC lead to the usual scalar field mass generation, the Dirichlet BC give rise to the dynamical mechanism of spontaneous symmetry breaking. Due to the later, there arises the possibility of the respective phase transition from the normal phase to the spontaneously broken one. In particular, at the critical value of the combined evolution parameter the usual massless scalar QED transforms to the Higgs model. |
2012.14828 | Phongpichit Channuie | Daris Samart, Phongpichit Channuie | AdS to dS phase transition mediated by thermalon in
Einstein-Gauss-Bonnet gravity from Renyi statistics | v2: version accepted for publication in Nucl. Phys. B | Nucl. Phys. B 989 (2023) 116140 | 10.1016/j.nuclphysb.2023.116140 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this work, we present the possible existence of a thermalon phase
transition between anti-de Sitter (AdS) to de Sitter (dS) vacua in
Einstein-Gauss-Bonnet gravity by considering the R\'{e}nyi statistics. A
thermalon changes the asymptotic structure of spacetimes via the bubble
nucleation of spherical thin-shells which host a black hole in the interior.
All relevant thermodynamical quantities are computed in terms of the Renyi
statistics in order to demonstrate the possible existence of the AdS to dS
phase transition. In addition, we also comment on the behaviors of the phase
transitions in the Renyi statistics.
| [
{
"created": "Tue, 29 Dec 2020 16:09:14 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2023 12:52:35 GMT",
"version": "v2"
}
] | 2023-03-06 | [
[
"Samart",
"Daris",
""
],
[
"Channuie",
"Phongpichit",
""
]
] | In this work, we present the possible existence of a thermalon phase transition between anti-de Sitter (AdS) to de Sitter (dS) vacua in Einstein-Gauss-Bonnet gravity by considering the R\'{e}nyi statistics. A thermalon changes the asymptotic structure of spacetimes via the bubble nucleation of spherical thin-shells which host a black hole in the interior. All relevant thermodynamical quantities are computed in terms of the Renyi statistics in order to demonstrate the possible existence of the AdS to dS phase transition. In addition, we also comment on the behaviors of the phase transitions in the Renyi statistics. |
hep-th/9511167 | Shin'ichi Nojiri | E. Elizalde, M. Kawamura, S. Nojiri, S.D. Odintsov and A. Sugamoto | Quantum effects of stringy and membranic nature for the swimming of
micro-organisms in a fluid | Latex file, 16pp | Int.J.Mod.Phys.A11:5569-5586,1996 | 10.1142/S0217751X96002558 | CEAB 95/9-13, NDA-FP-22, OCHA-PP-66 | hep-th | null | The static potential is investigated in string and membrane theories coupled
to $U(1)$ gauge fields (specifically, external magnetic fields) and with
antisymmetric tensor fields. The explicit dependence of the potential on the
shape of the extended objects is obtained, including a careful calculation of
the quantum effects. Noting the features which are common to the dynamics of
strings and membranes moving in background fields and to the swimming of
micro-organisms in a fluid, the latter problem is studied. The Casimir energy
of a micro-organism is estimated, taking into account the quantum effects and
the backreaction from the outside fluid. The static potential is investigated
in string and membrane theories coupled to $U(1)$ gauge fields (specifically,
external magnetic fields) and with antisymmetric tensor fields. The explicit
dependence of the potential on the shape of the extended objects is obtained,
including a careful calculation of the quantum effects. Noting the features
which are common to the dynamics of strings and membranes moving in background
fields and to the swimming of micro-organisms in a fluid, the latter problem is
studied. The Casimir energy of a micro-organism is estimated, taking into
account the quantum effects and the backreaction from the outside fluid.
| [
{
"created": "Fri, 24 Nov 1995 03:43:57 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Dec 1995 13:00:05 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Elizalde",
"E.",
""
],
[
"Kawamura",
"M.",
""
],
[
"Nojiri",
"S.",
""
],
[
"Odintsov",
"S. D.",
""
],
[
"Sugamoto",
"A.",
""
]
] | The static potential is investigated in string and membrane theories coupled to $U(1)$ gauge fields (specifically, external magnetic fields) and with antisymmetric tensor fields. The explicit dependence of the potential on the shape of the extended objects is obtained, including a careful calculation of the quantum effects. Noting the features which are common to the dynamics of strings and membranes moving in background fields and to the swimming of micro-organisms in a fluid, the latter problem is studied. The Casimir energy of a micro-organism is estimated, taking into account the quantum effects and the backreaction from the outside fluid. The static potential is investigated in string and membrane theories coupled to $U(1)$ gauge fields (specifically, external magnetic fields) and with antisymmetric tensor fields. The explicit dependence of the potential on the shape of the extended objects is obtained, including a careful calculation of the quantum effects. Noting the features which are common to the dynamics of strings and membranes moving in background fields and to the swimming of micro-organisms in a fluid, the latter problem is studied. The Casimir energy of a micro-organism is estimated, taking into account the quantum effects and the backreaction from the outside fluid. |
1309.0885 | Ellis Yuan | Freddy Cachazo, Song He, Ellis Ye Yuan | Scattering of Massless Particles: Scalars, Gluons and Gravitons | 31 pages | null | 10.1007/JHEP07(2014)033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent note we presented a compact formula for the complete tree-level
S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime
dimension. In this paper we show that a natural formulation also exists for a
massless colored cubic scalar theory. In Yang-Mills, the formula is an integral
over the space of n marked points on a sphere and has as integrand two factors.
The first factor is a combination of Parke-Taylor-like terms dressed with U(N)
color structures while the second is a Pfaffian. The S-matrix of a U(N)xU(N')
cubic scalar theory is obtained by simply replacing the Pfaffian with a U(N')
version of the previous U(N) factor. Given that gravity amplitudes are obtained
by replacing the U(N) factor in Yang-Mills by a second Pfaffian, we are led to
a natural color-kinematics correspondence. An expansion of the integrand of the
scalar theory leads to sums over trivalent graphs and are directly related to
the KLT matrix. We find a connection to the BCJ color-kinematics duality as
well as a new proof of the BCJ doubling property that gives rise to gravity
amplitudes. We end by considering a special kinematic point where the partial
amplitude simply counts the number of color-ordered planar trivalent trees,
which equals a Catalan number. The scattering equations simplify dramatically
and are equivalent to a special Y-system with solutions related to roots of
Chebyshev polynomials.
| [
{
"created": "Wed, 4 Sep 2013 01:49:55 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Cachazo",
"Freddy",
""
],
[
"He",
"Song",
""
],
[
"Yuan",
"Ellis Ye",
""
]
] | In a recent note we presented a compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. In this paper we show that a natural formulation also exists for a massless colored cubic scalar theory. In Yang-Mills, the formula is an integral over the space of n marked points on a sphere and has as integrand two factors. The first factor is a combination of Parke-Taylor-like terms dressed with U(N) color structures while the second is a Pfaffian. The S-matrix of a U(N)xU(N') cubic scalar theory is obtained by simply replacing the Pfaffian with a U(N') version of the previous U(N) factor. Given that gravity amplitudes are obtained by replacing the U(N) factor in Yang-Mills by a second Pfaffian, we are led to a natural color-kinematics correspondence. An expansion of the integrand of the scalar theory leads to sums over trivalent graphs and are directly related to the KLT matrix. We find a connection to the BCJ color-kinematics duality as well as a new proof of the BCJ doubling property that gives rise to gravity amplitudes. We end by considering a special kinematic point where the partial amplitude simply counts the number of color-ordered planar trivalent trees, which equals a Catalan number. The scattering equations simplify dramatically and are equivalent to a special Y-system with solutions related to roots of Chebyshev polynomials. |
2012.10628 | Tomoki Nosaka | Tomoki Nosaka | A sharp transition in quantum chaos and thermodynamics of mass deformed
SYK model | 9 pages, 3 figures, Proceedings of 4th International Conference on
Holography, String Theory and Discrete Approach in Hanoi (3-8 August 2020) | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el nlin.CD quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review our recent work [arXiv:2009.10759] where we studied the chaotic
property of the two coupled Sachdev-Ye-Kitaev systems exhibiting a Hawking-Page
like phase transition. By computing the out-of-time-ordered correlator in the
large N limit by using the bilocal field formalism, we found that the chaos
exponent of this model shows a discontinuous fall-off at the phase transition
temperature. Hence in this model the Hawking-Page like transition is correlated
with a transition in chaoticity, as expected from the relation between a black
hole geometry and the chaotic behavior in the dual field theory.
| [
{
"created": "Sat, 19 Dec 2020 08:38:40 GMT",
"version": "v1"
}
] | 2020-12-22 | [
[
"Nosaka",
"Tomoki",
""
]
] | We review our recent work [arXiv:2009.10759] where we studied the chaotic property of the two coupled Sachdev-Ye-Kitaev systems exhibiting a Hawking-Page like phase transition. By computing the out-of-time-ordered correlator in the large N limit by using the bilocal field formalism, we found that the chaos exponent of this model shows a discontinuous fall-off at the phase transition temperature. Hence in this model the Hawking-Page like transition is correlated with a transition in chaoticity, as expected from the relation between a black hole geometry and the chaotic behavior in the dual field theory. |
hep-th/9604120 | Nathan Jacob Berkovits | Nathan Berkovits | Super-Poincare Invariant Koba-Nielsen Formulas for the Superstring | 11 pages harvmac | Phys.Lett. B385 (1996) 109-116 | 10.1016/0370-2693(96)00873-8 | IFUSP-P-1211 | hep-th | null | The new spacetime-supersymmetric description of the superstring is used to
compute tree-level scattering amplitudes for an arbitrary number of massless
four-dimensional states. The resulting Koba-Nielsen formula is manifestly
SO(3,1) super-Poincare invariant and is easily generalized to scattering in the
presence of a D-brane.
| [
{
"created": "Fri, 19 Apr 1996 23:33:21 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Berkovits",
"Nathan",
""
]
] | The new spacetime-supersymmetric description of the superstring is used to compute tree-level scattering amplitudes for an arbitrary number of massless four-dimensional states. The resulting Koba-Nielsen formula is manifestly SO(3,1) super-Poincare invariant and is easily generalized to scattering in the presence of a D-brane. |
2205.09143 | Konstantinos Siampos | Rigers Aliaj, Konstantinos Sfetsos, Konstantinos Siampos | Dynamically restoring conformal invariance in (integrable)
$\sigma$-models | v1:1+37 pages, Latex, v2: SciPost version | SciPost Phys. 14, 043 (2023) | 10.21468/SciPostPhys.14.3.043 | CERN-TH-2022-082 | hep-th nlin.SI | http://creativecommons.org/publicdomain/zero/1.0/ | Integrable $\lambda$-deformed $\sigma$-models are characterized by an
underlying current algebra/coset model CFT deformed, at the infinitesimal
level, by current/parafermion bilinears. We promote the deformation parameters
to dynamical functions of time introduced as an extra coordinate. It is
conceivable that by appropriately constraining them, the beta-functions vanish
and consequently the $\sigma$-model stays conformal. Remarkably, we explicitly
materialize this scenario in several cases having a single and even multiple
deformation parameters. These generically obey a system of non-linear
second-order ordinary differential equations. They are solved by the fixed
points of the RG flow of the original $\sigma$-model. Moreover, by
appropriately choosing initial conditions we may even interpolate between the
RG fixed points as the time varies from the far past to the far future.Finally,
we present an extension of our analysis to the Yang--Baxter deformed PCMs.
| [
{
"created": "Wed, 18 May 2022 18:01:09 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2023 04:44:32 GMT",
"version": "v2"
}
] | 2023-03-22 | [
[
"Aliaj",
"Rigers",
""
],
[
"Sfetsos",
"Konstantinos",
""
],
[
"Siampos",
"Konstantinos",
""
]
] | Integrable $\lambda$-deformed $\sigma$-models are characterized by an underlying current algebra/coset model CFT deformed, at the infinitesimal level, by current/parafermion bilinears. We promote the deformation parameters to dynamical functions of time introduced as an extra coordinate. It is conceivable that by appropriately constraining them, the beta-functions vanish and consequently the $\sigma$-model stays conformal. Remarkably, we explicitly materialize this scenario in several cases having a single and even multiple deformation parameters. These generically obey a system of non-linear second-order ordinary differential equations. They are solved by the fixed points of the RG flow of the original $\sigma$-model. Moreover, by appropriately choosing initial conditions we may even interpolate between the RG fixed points as the time varies from the far past to the far future.Finally, we present an extension of our analysis to the Yang--Baxter deformed PCMs. |
2106.11318 | K. C. Matthew Cheung | K. C. Matthew Cheung, Rahim Leung | Wrapped NS5-Branes, Consistent Truncations and In\"on\"u-Wigner
Contractions | 2+73 pages, 1 figure; very minor changes, reference added, published
version | null | 10.1007/JHEP09(2021)052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct consistent Kaluza-Klein truncations of type IIA supergravity on
(i) $\Sigma_2\times S^3$ and (ii) $\Sigma_3\times S^3$, where $\Sigma_2 =
S^2/\Gamma$, $\mathbb{R}^2/\Gamma$, or $\mathbb{H}^2/\Gamma$, and $\Sigma_3 =
S^3/\Gamma$, $\mathbb{R}^3/\Gamma$, or $\mathbb{H}^3/\Gamma$, with $\Gamma$ a
discrete group of symmetries, corresponding to NS5-branes wrapped on $\Sigma_2$
and $\Sigma_3$. The resulting theories are a $D=5$, $\mathcal{N}=4$ gauged
supergravity coupled to three vector multiplets with scalar manifold
$SO(1,1)\times SO(5,3)/(SO(5)\times SO(3))$ and gauge group
$SO(2)\times\left(SO(2)\ltimes_{\Sigma_2}\mathbb{R}^4\right)$ which depends on
the curvature of $\Sigma_2$, and a $D=4$, $\mathcal{N}=2$ gauged supergravity
coupled to one vector multiplet and two hypermultiplets with scalar manifold
$SU(1,1)/U(1)\times G_{2(2)}/SO(4)$ and gauge group
$\mathbb{R}^+\times\mathbb{R}^+$ for truncations (i) and (ii) respectively.
Instead of carrying out the truncations at the 10-dimensional level, we show
that they can be obtained directly by performing In\"on\"u-Wigner contractions
on the 5 and 4-dimensional gauged supergravity theories that come from
consistent truncations of 11-dimensional supergravity associated with M5-branes
wrapping $\Sigma_2$ and $\Sigma_3$. This suggests the existence of a broader
class of lower-dimensional gauged supergravity theories related by group
contractions that have a 10 or 11-dimensional origin.
| [
{
"created": "Mon, 21 Jun 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Sep 2021 07:52:53 GMT",
"version": "v2"
}
] | 2021-09-14 | [
[
"Cheung",
"K. C. Matthew",
""
],
[
"Leung",
"Rahim",
""
]
] | We construct consistent Kaluza-Klein truncations of type IIA supergravity on (i) $\Sigma_2\times S^3$ and (ii) $\Sigma_3\times S^3$, where $\Sigma_2 = S^2/\Gamma$, $\mathbb{R}^2/\Gamma$, or $\mathbb{H}^2/\Gamma$, and $\Sigma_3 = S^3/\Gamma$, $\mathbb{R}^3/\Gamma$, or $\mathbb{H}^3/\Gamma$, with $\Gamma$ a discrete group of symmetries, corresponding to NS5-branes wrapped on $\Sigma_2$ and $\Sigma_3$. The resulting theories are a $D=5$, $\mathcal{N}=4$ gauged supergravity coupled to three vector multiplets with scalar manifold $SO(1,1)\times SO(5,3)/(SO(5)\times SO(3))$ and gauge group $SO(2)\times\left(SO(2)\ltimes_{\Sigma_2}\mathbb{R}^4\right)$ which depends on the curvature of $\Sigma_2$, and a $D=4$, $\mathcal{N}=2$ gauged supergravity coupled to one vector multiplet and two hypermultiplets with scalar manifold $SU(1,1)/U(1)\times G_{2(2)}/SO(4)$ and gauge group $\mathbb{R}^+\times\mathbb{R}^+$ for truncations (i) and (ii) respectively. Instead of carrying out the truncations at the 10-dimensional level, we show that they can be obtained directly by performing In\"on\"u-Wigner contractions on the 5 and 4-dimensional gauged supergravity theories that come from consistent truncations of 11-dimensional supergravity associated with M5-branes wrapping $\Sigma_2$ and $\Sigma_3$. This suggests the existence of a broader class of lower-dimensional gauged supergravity theories related by group contractions that have a 10 or 11-dimensional origin. |
hep-th/9902153 | Richard Corrado | Richard Corrado, Bogdan Florea, and Robert McNees | Correlation Functions of Operators and Wilson Surfaces in the d=6, (0,2)
Theory in the Large N Limit | 34 pages, using utarticle.cls (included), array.sty, amsmath.sty,
amsfonts.sty, latexsym.sty, epsfig. Bibtex style: utphys.bst (.bbl file
included) | Phys.Rev. D60 (1999) 085011 | 10.1103/PhysRevD.60.085011 | UTTG-02-99 | hep-th | null | We compute the two and three-point correlation functions of chiral primary
operators in the large N limit of the (0,2), d=6 superconformal theory. We also
consider the operator product expansion of Wilson surfaces in the (0,2) theory
and compute the OPE coefficients of the chiral primary operators at large N
from the correlation functions of surfaces.
| [
{
"created": "Mon, 22 Feb 1999 21:22:16 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Corrado",
"Richard",
""
],
[
"Florea",
"Bogdan",
""
],
[
"McNees",
"Robert",
""
]
] | We compute the two and three-point correlation functions of chiral primary operators in the large N limit of the (0,2), d=6 superconformal theory. We also consider the operator product expansion of Wilson surfaces in the (0,2) theory and compute the OPE coefficients of the chiral primary operators at large N from the correlation functions of surfaces. |
0901.3954 | Silviu-Constantin Sararu | E. M. Cioroianu, E. Diaconu, S. C. Sararu | On the uniqueness of D=11 interactions among a graviton, a massless
gravitino and a three-form. II: Three-form and gravitini | 20 pages | Int.J.Mod.Phys.A23:4841-4859,2008 | 10.1142/S0217751X08041232 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The interactions that can be introduced between a massless Rarita-Schwinger
field and an Abelian three-form gauge field in eleven spacetime dimensions are
analyzed in the context of the deformation of the free solution of the master
equation combined with local BRST cohomology. Under the hypotheses of
smoothness of the interactions in the coupling constant, locality, Poincare
invariance, Lorentz covariance, and the presence of at most two derivatives in
the Lagrangian of the interacting theory (the same number of derivatives like
in the free Lagrangian), we prove that there are neither cross-couplings nor
self-interactions for the gravitino in D=11.The only possible term that can be
added to the deformed solution to the master equation is nothing but a
generalized Chern-Simons term for the three-form gauge field, which brings
contributions to the deformed Lagrangian, but does not modify the original,
Abelian gauge transformations.
| [
{
"created": "Mon, 26 Jan 2009 07:57:02 GMT",
"version": "v1"
}
] | 2009-03-04 | [
[
"Cioroianu",
"E. M.",
""
],
[
"Diaconu",
"E.",
""
],
[
"Sararu",
"S. C.",
""
]
] | The interactions that can be introduced between a massless Rarita-Schwinger field and an Abelian three-form gauge field in eleven spacetime dimensions are analyzed in the context of the deformation of the free solution of the master equation combined with local BRST cohomology. Under the hypotheses of smoothness of the interactions in the coupling constant, locality, Poincare invariance, Lorentz covariance, and the presence of at most two derivatives in the Lagrangian of the interacting theory (the same number of derivatives like in the free Lagrangian), we prove that there are neither cross-couplings nor self-interactions for the gravitino in D=11.The only possible term that can be added to the deformed solution to the master equation is nothing but a generalized Chern-Simons term for the three-form gauge field, which brings contributions to the deformed Lagrangian, but does not modify the original, Abelian gauge transformations. |
0911.5295 | Soo-Jong Rey | Soo-Jong Rey | String Theory on Thin Semiconductors: Holographic Realization of Fermi
Points and Surfaces | Proceedings of "30 Years of Mathematical Methods in High Energy
Physics", March 17 - 19, 2008. Also covers talks given at "Strings 2007" June
24-30, 2007 (Madrid, Spain) and "Strong Coupling: From Lattice to AdS/CFT"
June 4- 6, 2008 (GGI, Florence, Italy). Charged AdS black hole as Fermi liqud
was done in collaboration with Dongsu Bak | Prog.Theor.Phys.Suppl.177:128-142,2009 | 10.1143/PTPS.177.128 | null | hep-th cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I make a novel contact between string theory and degenerate fermion dynamics
in thin semiconductors. Utilizing AdS/CFT correspondence in string theory and
tunability of coupling parameters in condensed matter systems, I focus on the
possibilities testing string theory from tabletop experiments. I first discuss
the observation that stability of Fermi surface is classifiable according to
K-theory. I then elaborate two concrete realization of Fermi surfaces of zero
and two dimensions. Both are realized by complex of D3-branes and D7-branes of
relative codimension 6 and 4, respectively. The setup with Fermi point models
gauge dynamics of multiply stacked graphenes at half-filling. I show that
string theory predicts dynamical generation of mass gap and metal-insulator
quantum phase transition at zero temperature. I emphasize that conformally
invariant gauge theory dynamics of the setup plays a crucial role, leading to
novel conformal phase transition. The setup with Fermi surface is in
collaboration with Dongsu Bak and is based on charged black hole and models
relativistic Fermi liquid. We find positive evidence for this identification
from both equilibrium thermodynamics at or near zero temperature and
out-of-equilibrium linear response and transport properties. I argue that
fluctuation of black hole horizon provides holographic realization consistent
with Fermi liquid for thermodynamics and interesting departures therefrom in
transport properties.
| [
{
"created": "Fri, 27 Nov 2009 15:55:06 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Rey",
"Soo-Jong",
""
]
] | I make a novel contact between string theory and degenerate fermion dynamics in thin semiconductors. Utilizing AdS/CFT correspondence in string theory and tunability of coupling parameters in condensed matter systems, I focus on the possibilities testing string theory from tabletop experiments. I first discuss the observation that stability of Fermi surface is classifiable according to K-theory. I then elaborate two concrete realization of Fermi surfaces of zero and two dimensions. Both are realized by complex of D3-branes and D7-branes of relative codimension 6 and 4, respectively. The setup with Fermi point models gauge dynamics of multiply stacked graphenes at half-filling. I show that string theory predicts dynamical generation of mass gap and metal-insulator quantum phase transition at zero temperature. I emphasize that conformally invariant gauge theory dynamics of the setup plays a crucial role, leading to novel conformal phase transition. The setup with Fermi surface is in collaboration with Dongsu Bak and is based on charged black hole and models relativistic Fermi liquid. We find positive evidence for this identification from both equilibrium thermodynamics at or near zero temperature and out-of-equilibrium linear response and transport properties. I argue that fluctuation of black hole horizon provides holographic realization consistent with Fermi liquid for thermodynamics and interesting departures therefrom in transport properties. |
hep-th/0105228 | Emil Akhmedov | Emil T. Akhmedov, Anton A. Gerasimov and Samson L. Shatashvili | On Unification of RR Couplings | References added, Latex, 18 pages | JHEP 0107:040,2001 | 10.1088/1126-6708/2001/07/040 | ITEP-TH-19/01, YCTP-SS5-01 | hep-th | null | We consider the couplings of RR fields with open string sector for
$Dp$-${\overline{Dp}}$ backgrounds of various $p$. Proposed approach, based on
the approximation of the open string algebra by the algebra of differential
operators, provides the unified description of these couplings and their
interrelations.
| [
{
"created": "Tue, 22 May 2001 20:24:11 GMT",
"version": "v1"
},
{
"created": "Wed, 23 May 2001 00:51:09 GMT",
"version": "v2"
},
{
"created": "Wed, 30 May 2001 00:56:37 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Akhmedov",
"Emil T.",
""
],
[
"Gerasimov",
"Anton A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] | We consider the couplings of RR fields with open string sector for $Dp$-${\overline{Dp}}$ backgrounds of various $p$. Proposed approach, based on the approximation of the open string algebra by the algebra of differential operators, provides the unified description of these couplings and their interrelations. |
1702.06261 | Sudarshan Ananth | Sudarshan Ananth, Lars Brink, Sucheta Majumdar, Mahendra Mali, Nabha
Shah | Gravitation and quadratic forms | 18 pages | JHEP 1703 (2017) 169 | 10.1007/JHEP03(2017)169 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The light-cone Hamiltonians describing both pure Yang-Mills and N=4 super
Yang-Mills may be expressed as quadratic forms. Here, we show that this feature
extends to theories of gravity. We demonstrate how the Hamiltonians of both
pure gravity and N=8 supergravity, in four dimensions, may be written as
quadratic forms. We examine the effect of residual reparametrizations on the
Hamiltonian and the resulting quadratic form.
| [
{
"created": "Tue, 21 Feb 2017 04:44:12 GMT",
"version": "v1"
}
] | 2020-02-25 | [
[
"Ananth",
"Sudarshan",
""
],
[
"Brink",
"Lars",
""
],
[
"Majumdar",
"Sucheta",
""
],
[
"Mali",
"Mahendra",
""
],
[
"Shah",
"Nabha",
""
]
] | The light-cone Hamiltonians describing both pure Yang-Mills and N=4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity. We demonstrate how the Hamiltonians of both pure gravity and N=8 supergravity, in four dimensions, may be written as quadratic forms. We examine the effect of residual reparametrizations on the Hamiltonian and the resulting quadratic form. |
1912.07311 | Dario Benedetti | Dario Benedetti and Ilaria Costa | $SO(3)$-invariant phase of the $O(N)^3$ tensor model | 33 pages; v2: amended introduction and added references | Phys. Rev. D 101, 086021 (2020) | 10.1103/PhysRevD.101.086021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study classical and quantum (at large-$N$) field equations of bosonic
tensor models with quartic interactions and $O(N)^3$ symmetry. Among various
possible patterns of spontaneous symmetry breaking we highlight an $SO(3)$
invariant solution, with the tensor field expressed in terms of the Wigner
$3jm$ symbol. We argue that such solution has a special role in the large-$N$
limit, as in particular its scaling in $N$ can provide an on-shell
justification for the melonic large-$N$ limit of the two-particle irreducible
effective action in a broken phase.
| [
{
"created": "Mon, 16 Dec 2019 12:03:35 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Apr 2020 08:59:52 GMT",
"version": "v2"
}
] | 2020-04-29 | [
[
"Benedetti",
"Dario",
""
],
[
"Costa",
"Ilaria",
""
]
] | We study classical and quantum (at large-$N$) field equations of bosonic tensor models with quartic interactions and $O(N)^3$ symmetry. Among various possible patterns of spontaneous symmetry breaking we highlight an $SO(3)$ invariant solution, with the tensor field expressed in terms of the Wigner $3jm$ symbol. We argue that such solution has a special role in the large-$N$ limit, as in particular its scaling in $N$ can provide an on-shell justification for the melonic large-$N$ limit of the two-particle irreducible effective action in a broken phase. |
hep-th/9501108 | Jason C. Breckenridge | J.~C.~Breckenridge, T.~G.~Steele (University of Saskatchewan) V.
Elias, (University of Western Ontario) | Massless Scalar Field Theory in a Quantised Space-Time | 23 pages, mtexsis (TeXsis), includes 2 figure files. | Class.Quant.Grav.12:637-650,1995 | 10.1088/0264-9381/12/3/004 | SAL-TH-94-02 | hep-th gr-qc | null | A method is developed to construct a non-local massless scalar field theory
in a flat quantised space-time generated by an operator algebra. Implicit in
the operator algebra is a fundamental length scale of the space-time. The
fundamental two-point function of free fields is constructed by assuming that
the causal Green functions still have support on the light cone in the operator
algebra quantised space-time. In contrast to previous stochastic approaches,
the method introduced here requires no explicit averaging over spacetime
coordinates. The two- and four-point functions of~$g \varphi^4$ theory are
calculated to the one-loop level, and no ultraviolet divergences are
encountered. It is also demonstrated that there are no IR divergences in the
processes considered.
| [
{
"created": "Mon, 23 Jan 1995 19:46:40 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 1995 17:04:41 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"~Breckenridge",
"J. ~C.",
"",
"University of Saskatchewan"
],
[
"~Steele",
"T. ~G.",
"",
"University of Saskatchewan"
],
[
"Elias",
"V.",
""
]
] | A method is developed to construct a non-local massless scalar field theory in a flat quantised space-time generated by an operator algebra. Implicit in the operator algebra is a fundamental length scale of the space-time. The fundamental two-point function of free fields is constructed by assuming that the causal Green functions still have support on the light cone in the operator algebra quantised space-time. In contrast to previous stochastic approaches, the method introduced here requires no explicit averaging over spacetime coordinates. The two- and four-point functions of~$g \varphi^4$ theory are calculated to the one-loop level, and no ultraviolet divergences are encountered. It is also demonstrated that there are no IR divergences in the processes considered. |
hep-th/9804011 | Paul Townsend | E. Bergshoeff and P.K. Townsend | Super D-branes revisited | 17 pp Latex. Revision is now in latex with some simplifications of
the Hamiltonian formulation included | Nucl.Phys. B531 (1998) 226-238 | 10.1016/S0550-3213(98)00432-5 | Ug-4-98 | hep-th | null | A version of the kappa-symmetric super D-p-brane action is presented in which
the tension is a dynamical variable, equal to the flux of a p-form worldvolume
gauge field. The Lagrangian is shown to be invariant under all
(super)isometries of the background for appropriate transformations of the
worldvolume gauge fields, which determine the central charges in the symmetry
algebra. We also present the Hamiltonian form of the action in a general
supergravity background.
| [
{
"created": "Thu, 2 Apr 1998 00:27:30 GMT",
"version": "v1"
},
{
"created": "Tue, 5 May 1998 02:07:10 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bergshoeff",
"E.",
""
],
[
"Townsend",
"P. K.",
""
]
] | A version of the kappa-symmetric super D-p-brane action is presented in which the tension is a dynamical variable, equal to the flux of a p-form worldvolume gauge field. The Lagrangian is shown to be invariant under all (super)isometries of the background for appropriate transformations of the worldvolume gauge fields, which determine the central charges in the symmetry algebra. We also present the Hamiltonian form of the action in a general supergravity background. |
1107.3756 | Nobuhiro Yonezawa | Kenji Muneyuki, Ta-Sheng Tai, Nobuhiro Yonezawa and Reiji Yoshioka | Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and
\Omega-deformed Seiberg-Witten prepotential | 13 pages, 3 figures; v3: a mistaken upload; v4: a typo in arXiv title
corrected (SU(N)=SU(2)^{N-3}---->SU(N)/SU(2)^{N-3}); v5: three references
added | JHEP 1109:125,2011 | 10.1007/JHEP09(2011)125 | OCU-PHYS 354 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Baxter's T-Q equation of XXX spin-chain models under the
semiclassical limit where an intriguing SU(N)/SU(2)^{N-3} correspondence
emerges. That is, two kinds of 4D \mathcal{N}=2 superconformal field theories
having the above different gauge groups are encoded simultaneously in one
Baxter's T-Q equation which captures their spectral curves. For example, while
one is SU(N_c) with N_f=2N_c flavors the other turns out to be SU(2)^{N_c-3}
with N_c hyper-multiplets (N_c > 3). It is seen that the corresponding
Seiberg-Witten differential supports our proposal.
| [
{
"created": "Tue, 19 Jul 2011 15:57:32 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jul 2011 16:05:50 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Sep 2011 03:11:25 GMT",
"version": "v3"
},
{
"created": "Wed, 28 Sep 2011 03:01:54 GMT",
"version": "v4"
},
{
"created": "Thu, 20 Oct 2011 15:07:00 GMT",
"version": "v5"
}
] | 2011-10-21 | [
[
"Muneyuki",
"Kenji",
""
],
[
"Tai",
"Ta-Sheng",
""
],
[
"Yonezawa",
"Nobuhiro",
""
],
[
"Yoshioka",
"Reiji",
""
]
] | We study Baxter's T-Q equation of XXX spin-chain models under the semiclassical limit where an intriguing SU(N)/SU(2)^{N-3} correspondence emerges. That is, two kinds of 4D \mathcal{N}=2 superconformal field theories having the above different gauge groups are encoded simultaneously in one Baxter's T-Q equation which captures their spectral curves. For example, while one is SU(N_c) with N_f=2N_c flavors the other turns out to be SU(2)^{N_c-3} with N_c hyper-multiplets (N_c > 3). It is seen that the corresponding Seiberg-Witten differential supports our proposal. |
2310.13517 | Omer Faruk Dayi | Omer F. Dayi | Gauge theories for fluids in 2+1 dimensions through master actions | 8 pages | Physics Letters A 494 (2024) 129285 | 10.1016/j.physleta.2023.129285 | null | hep-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two actions which are functionals of different variables but describing the
same dynamical system can be shown to possess the same origin by constructing a
master action which generates both of them. We first present the master action
which produces an action depending on the fluid variables and a gauge theory
action whose equations of motion are equivalent to the incompressible fluid
Euler equations in $2+1$ dimensions. We then introduce the master action
generating the actions which on shell provide the linearized shallow water
equations. One of them is a functional of the variables of the shallow water
and the other one is the Maxwell-Chern-Simons gauge theory action.The maps
between gauge vector fields and fluid variables are obtained for both of the
systems. We employ them to derive the corresponding gauge theory solutions of
the Hopfion and the coastal Kelvin wave solutions.
| [
{
"created": "Fri, 20 Oct 2023 14:03:21 GMT",
"version": "v1"
}
] | 2024-01-23 | [
[
"Dayi",
"Omer F.",
""
]
] | Two actions which are functionals of different variables but describing the same dynamical system can be shown to possess the same origin by constructing a master action which generates both of them. We first present the master action which produces an action depending on the fluid variables and a gauge theory action whose equations of motion are equivalent to the incompressible fluid Euler equations in $2+1$ dimensions. We then introduce the master action generating the actions which on shell provide the linearized shallow water equations. One of them is a functional of the variables of the shallow water and the other one is the Maxwell-Chern-Simons gauge theory action.The maps between gauge vector fields and fluid variables are obtained for both of the systems. We employ them to derive the corresponding gauge theory solutions of the Hopfion and the coastal Kelvin wave solutions. |
hep-th/0604174 | Alessio Marrani | Alessio Marrani | Spin-Bits and N=4 SYM | 29 pages; contribution to the Proceedings of the 43rd Erice
International School of Subnuclear Physics ``Towards New Milestones in our
Quest to go Beyond the Standard Model'', Erice, Italy (29 August--7 September
2005); v2: some references added | null | 10.1142/9789812779120_0015 | null | hep-th | null | We briefly review the spin-bit formalism, describing the non-planar dynamics
of the $\mathcal{N}=4,d=4$ Super Yang-Mills SU(N) gauge theory. After
considering its foundations, we apply such a formalism to the $su(2)$ sector of
purely scalar operators. In particular, we report an algorithmic formulation of
a deplanarizing procedure for local operators in the planar gauge theory, used
to obtain planarly-consistent, testable conjectures for the higher-loop $su(2)$
spin-bit Hamiltonians. Finally, we outlook some possible developments and
applications.
| [
{
"created": "Mon, 24 Apr 2006 16:44:59 GMT",
"version": "v1"
},
{
"created": "Thu, 4 May 2006 16:19:02 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Marrani",
"Alessio",
""
]
] | We briefly review the spin-bit formalism, describing the non-planar dynamics of the $\mathcal{N}=4,d=4$ Super Yang-Mills SU(N) gauge theory. After considering its foundations, we apply such a formalism to the $su(2)$ sector of purely scalar operators. In particular, we report an algorithmic formulation of a deplanarizing procedure for local operators in the planar gauge theory, used to obtain planarly-consistent, testable conjectures for the higher-loop $su(2)$ spin-bit Hamiltonians. Finally, we outlook some possible developments and applications. |
1306.6540 | Everton Murilo Carvalho Abreu | Everton M. C. Abreu, Mateus V. Marcial, Albert C. R. Mendes and Wilson
Oliveira | Analytical and numerical analysis of a rotational invariant D=2 harmonic
oscillator in the light of different noncommutative phase-space
configurations | 18 pages. JHEP style. Corrections made | null | 10.1007/JHEP11(2013)138 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we have investigated some properties of classical phase-space
with symplectic structures consistent, at the classical level, with two
noncommutative (NC) algebras: the Doplicher-Fredenhagen-Roberts algebraic
relations and the NC approach which uses an extended Hilbert space with
rotational symmetry. This extended Hilbert space includes the operators
$\theta^{ij}$ and their conjugate momentum $\pi_{ij}$ operators. In this
scenario, the equations of motion for all extended phase-space coordinates with
their corresponding solutions were determined and a rotational invariant NC
Newton's second law was written. As an application, we treated a NC harmonic
oscillator constructed in this extended Hilbert space. We have showed precisely
that its solution is still periodic if and only if the ratio between the
frequencies of oscillation is a rational number. We investigated, analytically
and numerically, the solutions of this NC oscillator in a two-dimensional
phase-space. The result led us to conclude that noncommutativity induces a
stable perturbation into the commutative standard oscillator and that the
rotational symmetry is not broken. Besides, we have demonstrated through the
equations of motion that a zero momentum $\pi_{ij}$ originated a constant NC
parameter, namely, $\theta^{ij}=const.$, which changes the original variable
characteristic of $\theta^{ij}$ and reduces the phase-space of the system. This
result shows that the momentum $\pi_{ij}$ is relevant and cannot be neglected
when we have that $\theta^{ij}$ is a coordinate of the system.
| [
{
"created": "Thu, 27 Jun 2013 15:10:55 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jul 2013 22:57:43 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Oct 2013 17:17:14 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Abreu",
"Everton M. C.",
""
],
[
"Marcial",
"Mateus V.",
""
],
[
"Mendes",
"Albert C. R.",
""
],
[
"Oliveira",
"Wilson",
""
]
] | In this work we have investigated some properties of classical phase-space with symplectic structures consistent, at the classical level, with two noncommutative (NC) algebras: the Doplicher-Fredenhagen-Roberts algebraic relations and the NC approach which uses an extended Hilbert space with rotational symmetry. This extended Hilbert space includes the operators $\theta^{ij}$ and their conjugate momentum $\pi_{ij}$ operators. In this scenario, the equations of motion for all extended phase-space coordinates with their corresponding solutions were determined and a rotational invariant NC Newton's second law was written. As an application, we treated a NC harmonic oscillator constructed in this extended Hilbert space. We have showed precisely that its solution is still periodic if and only if the ratio between the frequencies of oscillation is a rational number. We investigated, analytically and numerically, the solutions of this NC oscillator in a two-dimensional phase-space. The result led us to conclude that noncommutativity induces a stable perturbation into the commutative standard oscillator and that the rotational symmetry is not broken. Besides, we have demonstrated through the equations of motion that a zero momentum $\pi_{ij}$ originated a constant NC parameter, namely, $\theta^{ij}=const.$, which changes the original variable characteristic of $\theta^{ij}$ and reduces the phase-space of the system. This result shows that the momentum $\pi_{ij}$ is relevant and cannot be neglected when we have that $\theta^{ij}$ is a coordinate of the system. |
hep-th/9702161 | Conor J. Houghton | Conor Houghton | New hyper-Kaehler manifolds by fixing monopoles | Version in Phys. Rev. D. 11 pp, RevTeX, 14 Postscript diagrams | Phys. Rev. D 56, 1220 (1997) | 10.1103/PhysRevD.56.1220 | DAMTP 97-4 | hep-th | null | The construction of new hyper-Kaehler manifolds by taking the infinite
monopole mass limit of certain Bogomol'nyi-Prasad-Sommerfield monopole moduli
spaces is considered. The one-parameter family of hyperkaehler manifolds due to
Dancer is shown to be an example of such manifolds. A new family of fixed
monopole spaces is constructed. They are the moduli spaces of four SU(4)
monopoles, in the infinite mass limit of two of the monopoles. These manifolds
are shown to be nonsingular when the fixed monopole positions are distinct.
| [
{
"created": "Sat, 22 Feb 1997 15:58:46 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 1997 17:35:20 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Houghton",
"Conor",
""
]
] | The construction of new hyper-Kaehler manifolds by taking the infinite monopole mass limit of certain Bogomol'nyi-Prasad-Sommerfield monopole moduli spaces is considered. The one-parameter family of hyperkaehler manifolds due to Dancer is shown to be an example of such manifolds. A new family of fixed monopole spaces is constructed. They are the moduli spaces of four SU(4) monopoles, in the infinite mass limit of two of the monopoles. These manifolds are shown to be nonsingular when the fixed monopole positions are distinct. |
hep-th/9406087 | null | Susumu Okubo | Some New Solutions of Yang-Baxter Equation | 8 pages | null | 10.1016/0375-9601(94)01024-O | UR-1358, ER40685-808 | hep-th nlin.SI solv-int | null | We have found some new solutions of both rational and trigonometric types by
rewriting Yang-Baxter equation as a triple product equation in a vector space
of matrices.
| [
{
"created": "Tue, 14 Jun 1994 16:52:07 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Okubo",
"Susumu",
""
]
] | We have found some new solutions of both rational and trigonometric types by rewriting Yang-Baxter equation as a triple product equation in a vector space of matrices. |
hep-th/0611302 | Dragoljub Dimitrijevi\'c | D. D. Dimitrijevic and G. S. Djordjevic | Zero Dimensional Field Theory of Tachyon Matter | 2 pages, Talk presented at the 6th International Conference of Balkan
Physical Union - BPU6, Istanbul, Turkey, August 22-26. 2006 | AIPConf.Proc.899:359-360,2007 | 10.1063/1.2733185 | null | hep-th | null | The first issue about the object (now) called tachyons was published almost
one century ago. Even though there is no experimental evidence of tachyons
there are several reasons why tachyons are still of interest today, in fact
interest in tachyons is increasing. Many string theories have tachyons
occurring as some of the particles in the theory. In this paper we consider the
zero dimensional version of the field theory of tachyon matter proposed by A.
Sen. Using perturbation theory and ideas of S. Kar, we demonstrate how this
tachyon field theory can be connected with a classical mechanical system, such
as a massive particle moving in a constant field with quadratic friction. The
corresponding Feynman path integral form is proposed using a perturbative
method. A few promising lines for further applications and investigations are
noted.
| [
{
"created": "Tue, 28 Nov 2006 11:41:23 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dimitrijevic",
"D. D.",
""
],
[
"Djordjevic",
"G. S.",
""
]
] | The first issue about the object (now) called tachyons was published almost one century ago. Even though there is no experimental evidence of tachyons there are several reasons why tachyons are still of interest today, in fact interest in tachyons is increasing. Many string theories have tachyons occurring as some of the particles in the theory. In this paper we consider the zero dimensional version of the field theory of tachyon matter proposed by A. Sen. Using perturbation theory and ideas of S. Kar, we demonstrate how this tachyon field theory can be connected with a classical mechanical system, such as a massive particle moving in a constant field with quadratic friction. The corresponding Feynman path integral form is proposed using a perturbative method. A few promising lines for further applications and investigations are noted. |
0709.1319 | Niko Jokela | Jimmy A. Hutasoit, Niko Jokela | A Thermodynamic Interpretation of Time for Superstring Rolling Tachyons | 6 pages, 3 figures, v2: reference added, v3: minor clarification,
version to appear in journal | Phys.Rev.D77:023521,2008 | 10.1103/PhysRevD.77.023521 | HIP-2007-48/TH | hep-th | null | Rolling tachyon backgrounds, arising from open strings on unstable branes in
bosonic string theory, can be related to a simple statistical mechanical model
- Coulomb gas of point charges in two dimensions confined to a circle, the
Dyson gas. In this letter we describe a statistical system that is dual to
non-BPS branes in superstring theory. We argue that even though the concept of
time is absent in the statistical dual sitting at equilibrium, the notion of
time can emerge at the large number of particles $N \to \infty$ limit.
| [
{
"created": "Mon, 10 Sep 2007 07:45:57 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Sep 2007 09:18:53 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Dec 2007 12:57:03 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Hutasoit",
"Jimmy A.",
""
],
[
"Jokela",
"Niko",
""
]
] | Rolling tachyon backgrounds, arising from open strings on unstable branes in bosonic string theory, can be related to a simple statistical mechanical model - Coulomb gas of point charges in two dimensions confined to a circle, the Dyson gas. In this letter we describe a statistical system that is dual to non-BPS branes in superstring theory. We argue that even though the concept of time is absent in the statistical dual sitting at equilibrium, the notion of time can emerge at the large number of particles $N \to \infty$ limit. |
2101.08855 | Alex May | Alex May | Holographic quantum tasks with input and output regions | v5: minor clarifications | null | 10.1007/JHEP08(2021)055 | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | Quantum tasks are quantum computations with inputs and outputs occurring at
specified spacetime locations. Considering such tasks in the context of AdS/CFT
has led to novel constraints relating bulk geometry and boundary entanglement.
In this article we consider tasks where inputs and outputs are encoded into
extended spacetime regions, rather than the points previously considered. We
show that this leads to stronger constraints than have been derived in the
point based setting. In particular we improve the connected wedge theorem,
appearing earlier in 1912.05649, by finding a larger bulk region whose
existence implies large boundary correlation. As well, we show how considering
extended input and output regions leads to non-trivial statements in
Poincar\'e-AdS$_{2+1}$, a setting where the point-based connected wedge theorem
is always trivial.
| [
{
"created": "Thu, 21 Jan 2021 21:09:45 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Feb 2021 18:41:38 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Apr 2021 18:00:07 GMT",
"version": "v3"
},
{
"created": "Fri, 25 Jun 2021 04:19:49 GMT",
"version": "v4"
},
{
"created": "Sat, 17 Jul 2021 21:19:17 GMT",
"version": "v5"
}
] | 2021-09-01 | [
[
"May",
"Alex",
""
]
] | Quantum tasks are quantum computations with inputs and outputs occurring at specified spacetime locations. Considering such tasks in the context of AdS/CFT has led to novel constraints relating bulk geometry and boundary entanglement. In this article we consider tasks where inputs and outputs are encoded into extended spacetime regions, rather than the points previously considered. We show that this leads to stronger constraints than have been derived in the point based setting. In particular we improve the connected wedge theorem, appearing earlier in 1912.05649, by finding a larger bulk region whose existence implies large boundary correlation. As well, we show how considering extended input and output regions leads to non-trivial statements in Poincar\'e-AdS$_{2+1}$, a setting where the point-based connected wedge theorem is always trivial. |
1606.00646 | Harold Steinacker | Harold C. Steinacker | String states, loops and effective actions in noncommutative field
theory and matrix models | 31 pages, 2 figures | null | 10.1016/j.nuclphysb.2016.06.029 | UWThPh-2016-9 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Refining previous work by Iso, Kawai and Kitazawa, we discuss bi-local string
states as a tool for loop computations in noncommutative field theory and
matrix models. Defined in terms of coherent states, they exhibit the stringy
features of noncommutative field theory. This leads to a closed form for the
1-loop effective action in position space, capturing the long-range non-local
UV/IR mixing for scalar fields. The formalism applies to generic fuzzy spaces.
The non-locality is tamed in the maximally supersymmetric IKKT or IIB model,
where it gives rise to supergravity. The linearized supergravity interactions
are obtained directly in position space at one loop using string states on
generic noncommutative branes.
| [
{
"created": "Thu, 2 Jun 2016 12:18:11 GMT",
"version": "v1"
}
] | 2016-08-24 | [
[
"Steinacker",
"Harold C.",
""
]
] | Refining previous work by Iso, Kawai and Kitazawa, we discuss bi-local string states as a tool for loop computations in noncommutative field theory and matrix models. Defined in terms of coherent states, they exhibit the stringy features of noncommutative field theory. This leads to a closed form for the 1-loop effective action in position space, capturing the long-range non-local UV/IR mixing for scalar fields. The formalism applies to generic fuzzy spaces. The non-locality is tamed in the maximally supersymmetric IKKT or IIB model, where it gives rise to supergravity. The linearized supergravity interactions are obtained directly in position space at one loop using string states on generic noncommutative branes. |
0909.1869 | Abhijnan Rej | Abhijnan Rej | Turing's Landscape: decidability, computability and complexity in string
theory | 10 pages, entry for the 2009 FQXI Essay Contest | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I argue that questions of algorithmic decidability, computability and
complexity should play a larger role in deciding the "ultimate" theoretical
description of the Landscape of string vacua. More specifically, I examine the
notion of the average rank of the (unification) gauge group in the Landscape,
the explicit construction of Ricci-flat metrics on Calabi-Yau manifolds as well
as the computability of fundamental periods to show that undecidability
questions are far more pervasive than that described in the work of Denef and
Douglas.
| [
{
"created": "Thu, 10 Sep 2009 05:20:01 GMT",
"version": "v1"
}
] | 2009-09-11 | [
[
"Rej",
"Abhijnan",
""
]
] | I argue that questions of algorithmic decidability, computability and complexity should play a larger role in deciding the "ultimate" theoretical description of the Landscape of string vacua. More specifically, I examine the notion of the average rank of the (unification) gauge group in the Landscape, the explicit construction of Ricci-flat metrics on Calabi-Yau manifolds as well as the computability of fundamental periods to show that undecidability questions are far more pervasive than that described in the work of Denef and Douglas. |
1407.6299 | Jorma Louko | Jorma Louko | Unruh-DeWitt detector response across a Rindler firewall is finite | 24 pages. v4: post-JHEP correction in the parity description of Delta
F in Section 5 | JHEP 1409 (2014) 142 | 10.1007/JHEP09(2014)142 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar
field or its proper time derivative in $(1+1)$-dimensional Minkowski spacetime,
in a quantum state whose correlation structure across the Rindler horizon
mimics the stationary aspects of a firewall that Almheiri et al have argued to
ensue in an evaporating black hole spacetime. Within first-order perturbation
theory, we show that the detector's response on falling through the horizon is
sudden but finite. The difference from the Minkowski vacuum response is
proportional to $\omega^{-2}\ln(|\omega|)$ for the non-derivative detector and
to $\ln(|\omega|)$ for the derivative-coupling detector, both in the limit of a
large energy gap $\omega$ and in the limit of adiabatic switching. Adding to
the quantum state high Rindler temperature excitations behind the horizon
increases the detector's response proportionally to the temperature; this
situation has been suggested to model the energetic curtain proposal of
Braunstein et al. We speculate that the $(1+1)$-dimensional derivative-coupling
detector may be a good model for a non-derivative detector that crosses a
firewall in $3+1$ dimensions.
| [
{
"created": "Wed, 23 Jul 2014 17:08:23 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Aug 2014 16:57:55 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Oct 2014 13:15:33 GMT",
"version": "v3"
},
{
"created": "Sun, 9 Aug 2015 11:26:20 GMT",
"version": "v4"
}
] | 2015-08-11 | [
[
"Louko",
"Jorma",
""
]
] | We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar field or its proper time derivative in $(1+1)$-dimensional Minkowski spacetime, in a quantum state whose correlation structure across the Rindler horizon mimics the stationary aspects of a firewall that Almheiri et al have argued to ensue in an evaporating black hole spacetime. Within first-order perturbation theory, we show that the detector's response on falling through the horizon is sudden but finite. The difference from the Minkowski vacuum response is proportional to $\omega^{-2}\ln(|\omega|)$ for the non-derivative detector and to $\ln(|\omega|)$ for the derivative-coupling detector, both in the limit of a large energy gap $\omega$ and in the limit of adiabatic switching. Adding to the quantum state high Rindler temperature excitations behind the horizon increases the detector's response proportionally to the temperature; this situation has been suggested to model the energetic curtain proposal of Braunstein et al. We speculate that the $(1+1)$-dimensional derivative-coupling detector may be a good model for a non-derivative detector that crosses a firewall in $3+1$ dimensions. |
hep-th/0109026 | Mariano A. del Olmo | E. Celeghini and M.A. del Olmo | Quantum Algebras and Quantum Physics | LaTeX 2e, 9 pages | Europhys.Lett.61:438-444,2003 | 10.1209/epl/i2003-00326-y | null | hep-th | null | In Quantum Mechanics operators must be hermitian and, in a direct product
space, symmetric. These properties are saved by Lie algebra operators but not
by those of quantum algebras. A possible correspondence between observables and
quantum algebra operators is suggested by extending the definition of matrix
elements of a physical observable, including the eventual projection on the
appropriate symmetric space. This allows to build in the Lie space of
representations one-parameter families of operators belonging to the enveloping
Lie algebra that satisfy an approximate symmetry and have the properties
required by physics.
| [
{
"created": "Tue, 4 Sep 2001 16:30:35 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Celeghini",
"E.",
""
],
[
"del Olmo",
"M. A.",
""
]
] | In Quantum Mechanics operators must be hermitian and, in a direct product space, symmetric. These properties are saved by Lie algebra operators but not by those of quantum algebras. A possible correspondence between observables and quantum algebra operators is suggested by extending the definition of matrix elements of a physical observable, including the eventual projection on the appropriate symmetric space. This allows to build in the Lie space of representations one-parameter families of operators belonging to the enveloping Lie algebra that satisfy an approximate symmetry and have the properties required by physics. |
1906.05738 | Andreas Fring | Andreas Fring and Takanobu Taira | Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum
field theories | 25 pages, 3 figures | Nuclear Physics B 950 (2020) 114834 | 10.1016/j.nuclphysb.2019.114834 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the interplay between spontaneously breaking global continuous and
discrete antilinear symmetries in a newly proposed general class of
non-Hermitian quantum field theories containing a mixture of complex and real
scalar fields. We analyse the model for different types of global symmetry
preserving and breaking vacua. In addition, the models are symmetric under
various types of discrete antilinear symmetries composed out of nonstandard
simultaneous charge conjugations, time-reversals and parity transformations;
CPT. While the global symmetry governs the existence of massless Goldstone
bosons, the discrete one controls the precise expression of the Goldstone
bosons in terms of the original fields in the model and its physical regimes.
We show that even when the CPT-symmetries are broken on the level of the action
expanded around different types of vacua, the mass spectra might still be real
when the symmetry is preserved at the tree approximation and the breaking only
occurs at higher order. We discuss the parameter space of some of the models in
the proposed class and identify physical regimes in which massless Goldstone
bosons emerge when the vacuum spontaneously breaks the global symmetry or
equivalently when the corresponding Noether currents are conserved. The
physical regions are bounded by exceptional points in different ways. There
exist special points in parameter space for which massless bosons may occur
already before breaking the global symmetry. However, when the global symmetry
is broken at these points they can no longer be distinguished from genuine
Goldstone bosons.
| [
{
"created": "Thu, 13 Jun 2019 14:59:34 GMT",
"version": "v1"
}
] | 2019-11-18 | [
[
"Fring",
"Andreas",
""
],
[
"Taira",
"Takanobu",
""
]
] | We study the interplay between spontaneously breaking global continuous and discrete antilinear symmetries in a newly proposed general class of non-Hermitian quantum field theories containing a mixture of complex and real scalar fields. We analyse the model for different types of global symmetry preserving and breaking vacua. In addition, the models are symmetric under various types of discrete antilinear symmetries composed out of nonstandard simultaneous charge conjugations, time-reversals and parity transformations; CPT. While the global symmetry governs the existence of massless Goldstone bosons, the discrete one controls the precise expression of the Goldstone bosons in terms of the original fields in the model and its physical regimes. We show that even when the CPT-symmetries are broken on the level of the action expanded around different types of vacua, the mass spectra might still be real when the symmetry is preserved at the tree approximation and the breaking only occurs at higher order. We discuss the parameter space of some of the models in the proposed class and identify physical regimes in which massless Goldstone bosons emerge when the vacuum spontaneously breaks the global symmetry or equivalently when the corresponding Noether currents are conserved. The physical regions are bounded by exceptional points in different ways. There exist special points in parameter space for which massless bosons may occur already before breaking the global symmetry. However, when the global symmetry is broken at these points they can no longer be distinguished from genuine Goldstone bosons. |
2312.14899 | Francisco A. Brito | F. A. Brito, C. H. A. B. Borges, J. A. V. Campos, F. G. Costa | Weak Coupling Regime in Dilatonic f(R,T) Cosmology | Latex, 14 pages, 9 figures, 3 tables; version accepted in Universe | null | 10.3390/universe1010000 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $f(R,T)$ modified theories of gravity in the context of string
theory inspired dilaton gravity. We deal with a specific model that under
certain conditions describes the late time Universe in accord with
observational data in modern cosmology and addresses the $H_0$ tension. This is
done by exploring the space of parameters made out of those coming from the
modified gravity and dilatonic charge sectors. We employ numerical methods to
obtain several important observable quantities.
| [
{
"created": "Fri, 22 Dec 2023 18:26:18 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Mar 2024 17:59:19 GMT",
"version": "v2"
}
] | 2024-03-11 | [
[
"Brito",
"F. A.",
""
],
[
"Borges",
"C. H. A. B.",
""
],
[
"Campos",
"J. A. V.",
""
],
[
"Costa",
"F. G.",
""
]
] | We consider $f(R,T)$ modified theories of gravity in the context of string theory inspired dilaton gravity. We deal with a specific model that under certain conditions describes the late time Universe in accord with observational data in modern cosmology and addresses the $H_0$ tension. This is done by exploring the space of parameters made out of those coming from the modified gravity and dilatonic charge sectors. We employ numerical methods to obtain several important observable quantities. |
hep-th/0107234 | Paolo Carta | Mariano Cadoni and Paolo Carta | 2D Black Holes, Conformal Vacua and CFTs on the Cylinder | 10 pages, JHEP style | Phys.Lett. B522 (2001) 126-132 | 10.1016/S0370-2693(01)01273-4 | INFNCA-TH0106 | hep-th | null | We investigate two-dimensional dilaton gravity models with a power-law
dilaton potential, whose black hole solutions contain, among others, the
dimensional reduction of the Schwarzschild black hole, the Anti-de Sitter black
hole and Rindler spacetime. We show that the ground state of these models
satisfies simple transformation laws under the SL(2,R) conformal group. We use
these transformation laws to explain the scaling behavior of the
thermodynamical parameters of the black hole and the nonextensivity of the
thermodynamical system. The black hole thermodynamical behavior, in particular
its entropy, is reproduced by a mapping into a two-dimensional conformal field
theory on the cylinder.
| [
{
"created": "Fri, 27 Jul 2001 09:51:11 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Cadoni",
"Mariano",
""
],
[
"Carta",
"Paolo",
""
]
] | We investigate two-dimensional dilaton gravity models with a power-law dilaton potential, whose black hole solutions contain, among others, the dimensional reduction of the Schwarzschild black hole, the Anti-de Sitter black hole and Rindler spacetime. We show that the ground state of these models satisfies simple transformation laws under the SL(2,R) conformal group. We use these transformation laws to explain the scaling behavior of the thermodynamical parameters of the black hole and the nonextensivity of the thermodynamical system. The black hole thermodynamical behavior, in particular its entropy, is reproduced by a mapping into a two-dimensional conformal field theory on the cylinder. |
2001.10542 | Gianguido Dall'Agata | Gianguido Dall'Agata and Matteo Morittu | Covariant formulation of BPS black holes and the scalar weak gravity
conjecture | 21 pages. v2 references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we analyze the BPS black hole equations in extended
supergravities and we find two interesting relations involving first and second
derivatives of combinations of the central charges. One relation is a new
identity that solely relies on the geometric properties of the scalar manifolds
of extended supergravity theories. The other relation is a generalization of a
scalar weak gravity conjecture relation conjectured by Palti and uses
properties of the underlying black hole solution. We also provide for the first
time an explicit covariant construction of the BPS squared action for such
solutions.
| [
{
"created": "Tue, 28 Jan 2020 19:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2020 15:38:44 GMT",
"version": "v2"
}
] | 2020-02-11 | [
[
"Dall'Agata",
"Gianguido",
""
],
[
"Morittu",
"Matteo",
""
]
] | In this note we analyze the BPS black hole equations in extended supergravities and we find two interesting relations involving first and second derivatives of combinations of the central charges. One relation is a new identity that solely relies on the geometric properties of the scalar manifolds of extended supergravity theories. The other relation is a generalization of a scalar weak gravity conjecture relation conjectured by Palti and uses properties of the underlying black hole solution. We also provide for the first time an explicit covariant construction of the BPS squared action for such solutions. |
2106.15468 | James Bonifacio | James Bonifacio, Enrico Pajer, Dong-Gang Wang | From Amplitudes to Contact Cosmological Correlators | 31 pages | null | 10.1007/JHEP10(2021)001 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Our understanding of quantum correlators in cosmological spacetimes,
including those that we can observe in cosmological surveys, has improved
qualitatively in the past few years. Now we know many constraints that these
objects must satisfy as consequences of general physical principles, such as
symmetries, unitarity and locality. Using this new understanding, we derive the
most general scalar four-point correlator, i.e., the trispectrum, to all orders
in derivatives for manifestly local contact interactions. To obtain this result
we use techniques from commutative algebra to write down all possible scalar
four-particle amplitudes without assuming invariance under Lorentz boosts. We
then input these amplitudes into a contact reconstruction formula that
generates a contact cosmological correlator in de Sitter spacetime from a
contact scalar or graviton amplitude. We also show how the same procedure can
be used to derive higher-point contact cosmological correlators. Our results
further extend the reach of the boostless cosmological bootstrap and build a
new connection between flat and curved spacetime physics.
| [
{
"created": "Tue, 29 Jun 2021 14:53:19 GMT",
"version": "v1"
}
] | 2022-07-27 | [
[
"Bonifacio",
"James",
""
],
[
"Pajer",
"Enrico",
""
],
[
"Wang",
"Dong-Gang",
""
]
] | Our understanding of quantum correlators in cosmological spacetimes, including those that we can observe in cosmological surveys, has improved qualitatively in the past few years. Now we know many constraints that these objects must satisfy as consequences of general physical principles, such as symmetries, unitarity and locality. Using this new understanding, we derive the most general scalar four-point correlator, i.e., the trispectrum, to all orders in derivatives for manifestly local contact interactions. To obtain this result we use techniques from commutative algebra to write down all possible scalar four-particle amplitudes without assuming invariance under Lorentz boosts. We then input these amplitudes into a contact reconstruction formula that generates a contact cosmological correlator in de Sitter spacetime from a contact scalar or graviton amplitude. We also show how the same procedure can be used to derive higher-point contact cosmological correlators. Our results further extend the reach of the boostless cosmological bootstrap and build a new connection between flat and curved spacetime physics. |
2308.01205 | Mostafa Bousder Dr. | M. Bousder | A proof of holographic complexity conjecture: wormhole between horizon
and singularity | 6 pages, 1 figure | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | This letter provides evidence of complexity-volume and complexity-action
conjectures by examining the structure of a black hole, which comprises a
horizon linked to the singularity through a wormhole. In this situation, the
shape of the black hole's geometry resembles that of Gabriel's horn. In
essence, our results indicate that the information paradox is merely the
painter's paradox.
| [
{
"created": "Tue, 25 Jul 2023 12:01:33 GMT",
"version": "v1"
}
] | 2023-08-03 | [
[
"Bousder",
"M.",
""
]
] | This letter provides evidence of complexity-volume and complexity-action conjectures by examining the structure of a black hole, which comprises a horizon linked to the singularity through a wormhole. In this situation, the shape of the black hole's geometry resembles that of Gabriel's horn. In essence, our results indicate that the information paradox is merely the painter's paradox. |
1701.03455 | Yuki Yokokura | Hikaru Kawai, Yuki Yokokura | A Model of Black Hole Evaporation and 4D Weyl Anomaly | 28 pages, 6 figures. Typos fixed and references added | null | null | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze time evolution of a spherically-symmetric collapsing matter from a
point of view that black holes evaporate by nature. We consider conformal
matters and solve the semi-classical Einstein equation $G_{\mu\nu}=8\pi G
\langle T_{\mu\nu} \rangle$ by using the 4-dimensional Weyl anomaly with a
large $c$ coefficient. Here $\langle T_{\mu\nu} \rangle$ contains the
contribution from both the collapsing matter and Hawking radiation. The
solution indicates that the collapsing matter forms a dense object and
evaporates without horizon or singularity, and it has a surface but looks like
an ordinary black hole from the outside. Any object we recognize as a black
hole should be such an object.
| [
{
"created": "Thu, 12 Jan 2017 18:56:48 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2017 13:59:57 GMT",
"version": "v2"
}
] | 2017-01-25 | [
[
"Kawai",
"Hikaru",
""
],
[
"Yokokura",
"Yuki",
""
]
] | We analyze time evolution of a spherically-symmetric collapsing matter from a point of view that black holes evaporate by nature. We consider conformal matters and solve the semi-classical Einstein equation $G_{\mu\nu}=8\pi G \langle T_{\mu\nu} \rangle$ by using the 4-dimensional Weyl anomaly with a large $c$ coefficient. Here $\langle T_{\mu\nu} \rangle$ contains the contribution from both the collapsing matter and Hawking radiation. The solution indicates that the collapsing matter forms a dense object and evaporates without horizon or singularity, and it has a surface but looks like an ordinary black hole from the outside. Any object we recognize as a black hole should be such an object. |
2310.10724 | Sebastian Franco | Sebastian Franco, Diego Rodriguez-Gomez | Quiver Tails and Brane Webs | 37 pages, 41 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new type of quiver theories, denoted twin quivers, was recently introduced
for studying $5d$ SCFTs engineered by webs of 5-branes ending on 7-branes. Twin
quivers provide an alternative perspective on various aspects of such webs,
including Hanany-Witten moves and the $s$-rule. More ambitiously, they can be
regarded as a first step towards the construction of combinatorial objects,
generalizing brane tilings, encoding the corresponding BPS quivers. This paper
continues the investigation of twin quivers, focusing on their non-uniqueness,
which stems from the multiplicity of toric phases for a given toric Calabi-Yau
3-fold. We find that the different twin quivers are necessary for describing
what we call quiver tails, which in turn correspond to certain
sub-configurations in the webs. More generally, the multiplicity of twin
quivers captures the roots of the Higgs branch in the extended Coulomb branch
of $5d$ theories.
| [
{
"created": "Mon, 16 Oct 2023 18:00:02 GMT",
"version": "v1"
}
] | 2023-10-18 | [
[
"Franco",
"Sebastian",
""
],
[
"Rodriguez-Gomez",
"Diego",
""
]
] | A new type of quiver theories, denoted twin quivers, was recently introduced for studying $5d$ SCFTs engineered by webs of 5-branes ending on 7-branes. Twin quivers provide an alternative perspective on various aspects of such webs, including Hanany-Witten moves and the $s$-rule. More ambitiously, they can be regarded as a first step towards the construction of combinatorial objects, generalizing brane tilings, encoding the corresponding BPS quivers. This paper continues the investigation of twin quivers, focusing on their non-uniqueness, which stems from the multiplicity of toric phases for a given toric Calabi-Yau 3-fold. We find that the different twin quivers are necessary for describing what we call quiver tails, which in turn correspond to certain sub-configurations in the webs. More generally, the multiplicity of twin quivers captures the roots of the Higgs branch in the extended Coulomb branch of $5d$ theories. |
1404.7127 | Sven Krippendorf | Rolf Kappl, Sven Krippendorf, Hans Peter Nilles | Aligned Natural Inflation: Monodromies of two Axions | 11 pages, 3 figures, v2: typos corrected, references added, v3:
references added, matches published version | null | 10.1016/j.physletb.2014.08.045 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Natural (axionic) inflation can accommodate sizeable primordial tensor modes
but suffers from the necessity of trans-Planckian variations of the inflaton
field. This problem can be solved via the mechanism of aligned axions
arXiv:hep-ph/0409138, where the aligned axion spirals down in the potential of
other axions. We elaborate on the mechanism in view of the recently reported
observations of the BICEP2 collaboration arXiv:1403.3985.
| [
{
"created": "Mon, 28 Apr 2014 20:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Apr 2014 18:38:26 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Aug 2014 11:37:17 GMT",
"version": "v3"
}
] | 2014-09-01 | [
[
"Kappl",
"Rolf",
""
],
[
"Krippendorf",
"Sven",
""
],
[
"Nilles",
"Hans Peter",
""
]
] | Natural (axionic) inflation can accommodate sizeable primordial tensor modes but suffers from the necessity of trans-Planckian variations of the inflaton field. This problem can be solved via the mechanism of aligned axions arXiv:hep-ph/0409138, where the aligned axion spirals down in the potential of other axions. We elaborate on the mechanism in view of the recently reported observations of the BICEP2 collaboration arXiv:1403.3985. |
hep-th/9707139 | Neil Lambert | P.S. Howe, N.D. Lambert and P.C. West | A New Massive Type IIA Supergravity From Compactification | 13 pages, phyzzx. The introduction is clarifed and a reference added | Phys.Lett. B416 (1998) 303-308 | 10.1016/S0370-2693(97)01199-4 | KCL-TH-97-46 | hep-th | null | We consider the most general form for eleven dimensional supersymmetry
compatible with on-shell superfields. This allows for the introduction of a
conformal Spin(1,10) connection. In eleven dimensional Minkowski space this
modification is trivial and can be removed by a field redefinition, however,
upon compactification on S^1 it is possible to introduce a non-trivial `Wilson
line'. The resulting ten dimensional supergravity has massive 1-form and 3-form
potentials and a cosmological constant. This theory does not possess a
supersymmetric eightbrane soliton but it does admit a supersymmetric non-static
cosmological solution.
| [
{
"created": "Tue, 15 Jul 1997 16:23:53 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Aug 1997 17:04:08 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Howe",
"P. S.",
""
],
[
"Lambert",
"N. D.",
""
],
[
"West",
"P. C.",
""
]
] | We consider the most general form for eleven dimensional supersymmetry compatible with on-shell superfields. This allows for the introduction of a conformal Spin(1,10) connection. In eleven dimensional Minkowski space this modification is trivial and can be removed by a field redefinition, however, upon compactification on S^1 it is possible to introduce a non-trivial `Wilson line'. The resulting ten dimensional supergravity has massive 1-form and 3-form potentials and a cosmological constant. This theory does not possess a supersymmetric eightbrane soliton but it does admit a supersymmetric non-static cosmological solution. |
hep-th/9911012 | Konstantin G. Zloshchastiev | Konstantin G. Zloshchastiev | Nonminimal particle-like solutions in cubic scalar field theory | final version | Phys.Lett. B450 (1999) 397-404 | 10.1016/S0370-2693(99)00166-5 | null | hep-th gr-qc | null | The cubic scalar field theory admits the bell-shaped solitary wave solutions
which can be interpreted as massive Bose particles. We rule out the nonminimal
p-brane action for such a solution as the point particle with curvature. When
quantizing it as the theory with higher derivatives, it is shown that the
corresponding quantum equation has SU(2) dynamical symmetry group realizing the
exact spin-coordinate correspondence. Finally, we calculate the quantum
corrections to the mass of the bell boson which can not be obtained by means of
the perturbation theory starting from the vacuum sector.
| [
{
"created": "Wed, 3 Nov 1999 09:31:26 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Zloshchastiev",
"Konstantin G.",
""
]
] | The cubic scalar field theory admits the bell-shaped solitary wave solutions which can be interpreted as massive Bose particles. We rule out the nonminimal p-brane action for such a solution as the point particle with curvature. When quantizing it as the theory with higher derivatives, it is shown that the corresponding quantum equation has SU(2) dynamical symmetry group realizing the exact spin-coordinate correspondence. Finally, we calculate the quantum corrections to the mass of the bell boson which can not be obtained by means of the perturbation theory starting from the vacuum sector. |
0907.0850 | Seoktae Koh | Seoktae Koh | Relic gravitational wave spectrum, the trans-Planckian physics and
Ho\v{r}ava-Lifshitz gravity | 16 pages, 2 figures; added references and comments | Class.Quant.Grav.27:225015,2010 | 10.1088/0264-9381/27/22/225015 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the spectrum of the relic gravitational wave due to the
trans-Planckian effect in which the standard linear dispersion relations may be
modified. Of the modified dispersion relations suggested in literatures which
have investigated the trans-Planckian effect, we especially use the
Corley-Jacobson dispersion relations. The Corley-Jacobson type modified
dispersion relations can be obtained from Ho\v{r}ava-Lifshitz gravity which is
non-relativistic and UV complete. Although it is not clear how the transitions
from Ho\v{r}ava-Lifshitz gravity in the UV regime to Einstein gravity in the IR
limit occur, we assume Ho\v{r}ava-Lifshitz gravity regime is followed by the
inflationary phase in Einstein gravity.
| [
{
"created": "Sun, 5 Jul 2009 11:33:14 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jul 2009 08:44:00 GMT",
"version": "v2"
}
] | 2011-03-28 | [
[
"Koh",
"Seoktae",
""
]
] | We calculate the spectrum of the relic gravitational wave due to the trans-Planckian effect in which the standard linear dispersion relations may be modified. Of the modified dispersion relations suggested in literatures which have investigated the trans-Planckian effect, we especially use the Corley-Jacobson dispersion relations. The Corley-Jacobson type modified dispersion relations can be obtained from Ho\v{r}ava-Lifshitz gravity which is non-relativistic and UV complete. Although it is not clear how the transitions from Ho\v{r}ava-Lifshitz gravity in the UV regime to Einstein gravity in the IR limit occur, we assume Ho\v{r}ava-Lifshitz gravity regime is followed by the inflationary phase in Einstein gravity. |
2203.03307 | Victor Franken | Victor Franken | Tachyons and (non)vanishing scalar masses in six-dimensional gauge
theories with flux compactification | 25 pages, 4 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, we study the possibility to obtain a massless scalar boson for
which quantum corrections to the mass vanish at all loop-order, which has been
recently understood to be due to a shift symmetry making the scalar a Goldstone
boson. We present the effective four-dimensional Lagrangian of a
six-dimensional gauge theory compactified on a torus with magnetic flux.
Because of this magnetic field, a symmetry of translation in the extra
dimensions is broken which implies the existence of a massless scalar boson. We
then explicitly check that a model with two U(1) gauge symmetries contains a
scalar boson with finite mass but protected from large quantum corrections.
Finally, we study the presence of tachyons in the model with non-abelian gauge
symmetry. In particular, we propose a way to eliminate these tachyons and we
compute the full mass spectrum of the scalars in this theory. Finally, we show
that our method preserve the chirality of fermions in the model.
| [
{
"created": "Mon, 7 Mar 2022 11:31:27 GMT",
"version": "v1"
}
] | 2022-03-08 | [
[
"Franken",
"Victor",
""
]
] | In this paper, we study the possibility to obtain a massless scalar boson for which quantum corrections to the mass vanish at all loop-order, which has been recently understood to be due to a shift symmetry making the scalar a Goldstone boson. We present the effective four-dimensional Lagrangian of a six-dimensional gauge theory compactified on a torus with magnetic flux. Because of this magnetic field, a symmetry of translation in the extra dimensions is broken which implies the existence of a massless scalar boson. We then explicitly check that a model with two U(1) gauge symmetries contains a scalar boson with finite mass but protected from large quantum corrections. Finally, we study the presence of tachyons in the model with non-abelian gauge symmetry. In particular, we propose a way to eliminate these tachyons and we compute the full mass spectrum of the scalars in this theory. Finally, we show that our method preserve the chirality of fermions in the model. |
1309.6588 | Neven Bili\'c | Neven Bilic and Gary B. Tupper | AdS braneworld with Backreaction | 21 pages, 5 figures, typos corrected, a refference added, based on
the talk of NB presented at BW2013 - Beyond the standard models, April 2013,
Vrnjacka Banja, Serbia, to appear in CEJP | Cent. Eur. J. Phys. 12(3) 147-159 (2014) | 10.2478/s11534-013-0325-y | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the tachyon model derived from the dynamics of a 3-brane moving in
the AdS5 bulk. The bulk geometry is based on the Randall-Sundrum II model
extended to include the radion. The effective tachyon Lagrangian is modified
due to the back-reaction of the brane on the bulk geometry.
| [
{
"created": "Wed, 25 Sep 2013 17:38:12 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Dec 2013 17:53:54 GMT",
"version": "v2"
}
] | 2017-02-21 | [
[
"Bilic",
"Neven",
""
],
[
"Tupper",
"Gary B.",
""
]
] | We review the tachyon model derived from the dynamics of a 3-brane moving in the AdS5 bulk. The bulk geometry is based on the Randall-Sundrum II model extended to include the radion. The effective tachyon Lagrangian is modified due to the back-reaction of the brane on the bulk geometry. |
hep-th/9804052 | Chand Devchand | Chandrashekar Devchand and Jean Nuyts | Lorentz covariant spin two superspaces | 20 pages, latex, typos corrected | Nucl.Phys. B527 (1998) 479-498 | 10.1016/S0550-3213(98)00433-7 | null | hep-th | null | Superalgebras including generators having spins up to two and realisable as
tangent vector fields on Lorentz covariant generalised superspaces are
considered. The latter have a representation content reminiscent of
configuration spaces of (super)gravity theories. The most general canonical
supercommutation relations for the corresponding phase space coordinates
allowed by Lorentz covariance are discussed. By including generators
transforming according to every Lorentz representation having spin up to two,
we obtain, from the super Jacobi identities, the complete set of quadratic
equations for the Lorentz covariant structure constants. These defining
equations for spin two Heisenberg superalgebras are highly overdetermined.
Nevertheless, non-trivial solutions can indeed be found. By making some
simplifying assumptions, we explicitly construct several classes of these
superalgebras.
| [
{
"created": "Tue, 7 Apr 1998 09:06:04 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 1998 14:15:55 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Devchand",
"Chandrashekar",
""
],
[
"Nuyts",
"Jean",
""
]
] | Superalgebras including generators having spins up to two and realisable as tangent vector fields on Lorentz covariant generalised superspaces are considered. The latter have a representation content reminiscent of configuration spaces of (super)gravity theories. The most general canonical supercommutation relations for the corresponding phase space coordinates allowed by Lorentz covariance are discussed. By including generators transforming according to every Lorentz representation having spin up to two, we obtain, from the super Jacobi identities, the complete set of quadratic equations for the Lorentz covariant structure constants. These defining equations for spin two Heisenberg superalgebras are highly overdetermined. Nevertheless, non-trivial solutions can indeed be found. By making some simplifying assumptions, we explicitly construct several classes of these superalgebras. |
hep-th/0601219 | Manoel Messias Ferreira Junior | Manoel M. Ferreira Jr (UFMA), Marcio S. Tavares (CEFET-MA) | Non-relativistic electron-electron interaction in a
Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating
background | 14 pages, 4 figures, style revtex. To appear in International Journal
Modern Physics A | Int.J.Mod.Phys.A22:1685-1703,2007 | 10.1142/S0217751X07034982 | null | hep-th | null | A planar Maxwell-Chern-Simons-Proca model endowed with a Lorentz-violating
background is taken as framework to investigate the electron-electron
interaction. The Dirac sector is introduced exhibiting a Yukawa and a minimal
coupling with the scalar and the gauge fields, respectively. The the
electron-electron interaction is then exactly evaluated as the Fourier
transform of the Moller scattering amplitude (carried out in the
non-relativistic limit) for the case of a purely time-like background. The
interaction potential exhibits a totally screened behavior far from the origin
as consequence of massive character of the physical mediators. The total
interaction (scalar plus gauge potential) can always be attractive, revealing
that this model may lead to the formation of electron-electron bound states.
| [
{
"created": "Mon, 30 Jan 2006 19:31:07 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Nov 2006 19:38:03 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ferreira",
"Manoel M.",
"Jr",
"UFMA"
],
[
"Tavares",
"Marcio S.",
"",
"CEFET-MA"
]
] | A planar Maxwell-Chern-Simons-Proca model endowed with a Lorentz-violating background is taken as framework to investigate the electron-electron interaction. The Dirac sector is introduced exhibiting a Yukawa and a minimal coupling with the scalar and the gauge fields, respectively. The the electron-electron interaction is then exactly evaluated as the Fourier transform of the Moller scattering amplitude (carried out in the non-relativistic limit) for the case of a purely time-like background. The interaction potential exhibits a totally screened behavior far from the origin as consequence of massive character of the physical mediators. The total interaction (scalar plus gauge potential) can always be attractive, revealing that this model may lead to the formation of electron-electron bound states. |
1704.02926 | Kenny Wong | Kenny Wong | Quarter-BPS states in orbifold sigma models with ADE singularities | 13 pages + appendix. v2: minor changes, including additional
references | JHEP 1706:116 (2017) | 10.1007/JHEP06(2017)116 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the elliptic genera of two-dimensional orbifold CFTs, where the
orbifolding procedure introduces du Val surface singularities on the target
space. The N=4 character decompositions of the elliptic genus contributions
from the twisted sectors at the singularities obey a consistent scaling
property, and contain information about the arrangement of exceptional rational
curves in the resolution. We also discuss how these twisted sector elliptic
genera are related to twining genera and Hodge elliptic genera for sigma models
with K3 target space.
| [
{
"created": "Mon, 10 Apr 2017 16:07:23 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Apr 2017 20:27:54 GMT",
"version": "v2"
}
] | 2017-06-27 | [
[
"Wong",
"Kenny",
""
]
] | We study the elliptic genera of two-dimensional orbifold CFTs, where the orbifolding procedure introduces du Val surface singularities on the target space. The N=4 character decompositions of the elliptic genus contributions from the twisted sectors at the singularities obey a consistent scaling property, and contain information about the arrangement of exceptional rational curves in the resolution. We also discuss how these twisted sector elliptic genera are related to twining genera and Hodge elliptic genera for sigma models with K3 target space. |
2106.04622 | Keith R. Dienes | Steven Abel, Keith R. Dienes | Calculating the Higgs Mass in String Theory | 60 pages, LaTeX, 4 figures | Phys. Rev. D 104, 126032 (2021) | 10.1103/PhysRevD.104.126032 | IPPP/20/113 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we establish a fully string-theoretic framework for
calculating one-loop Higgs masses directly from first principles in
perturbative closed string theories. Our framework makes no assumptions other
than worldsheet modular invariance and is therefore applicable to all closed
strings, regardless of the specific string construction utilized. This
framework can also be employed even when spacetime supersymmetry is broken (and
even when this breaking occurs at the Planck scale), and can be utilized for
all scalar Higgs fields, regardless of the particular gauge symmetries they
break. This therefore includes the Higgs field responsible for electroweak
symmetry breaking in the Standard Model. Notably, using our framework, we
demonstrate that a gravitational modular anomaly generically relates the Higgs
mass to the one-loop cosmological constant, thereby yielding a string-theoretic
connection between the two fundamental quantities which are known to suffer
from hierarchy problems in the absence of spacetime supersymmetry. We also
discuss a number of crucial issues involving the use and interpretation of
regulators in UV/IR-mixed theories such as string theory, and the manner in
which one can extract an EFT description from such theories. Finally, we
analyze the running of the Higgs mass within such an EFT description, and
uncover the existence of a "dual IR" region which emerges at high energies as
the consequence of an intriguing scale-inversion duality symmetry. We also
identify a generic stringy effective potential for the Higgs fields in such
theories. Our results can therefore serve as the launching point for a rigorous
investigation of gauge hierarchy problems in string theory.
| [
{
"created": "Tue, 8 Jun 2021 18:22:03 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Dec 2021 00:13:28 GMT",
"version": "v2"
}
] | 2022-01-03 | [
[
"Abel",
"Steven",
""
],
[
"Dienes",
"Keith R.",
""
]
] | In this paper, we establish a fully string-theoretic framework for calculating one-loop Higgs masses directly from first principles in perturbative closed string theories. Our framework makes no assumptions other than worldsheet modular invariance and is therefore applicable to all closed strings, regardless of the specific string construction utilized. This framework can also be employed even when spacetime supersymmetry is broken (and even when this breaking occurs at the Planck scale), and can be utilized for all scalar Higgs fields, regardless of the particular gauge symmetries they break. This therefore includes the Higgs field responsible for electroweak symmetry breaking in the Standard Model. Notably, using our framework, we demonstrate that a gravitational modular anomaly generically relates the Higgs mass to the one-loop cosmological constant, thereby yielding a string-theoretic connection between the two fundamental quantities which are known to suffer from hierarchy problems in the absence of spacetime supersymmetry. We also discuss a number of crucial issues involving the use and interpretation of regulators in UV/IR-mixed theories such as string theory, and the manner in which one can extract an EFT description from such theories. Finally, we analyze the running of the Higgs mass within such an EFT description, and uncover the existence of a "dual IR" region which emerges at high energies as the consequence of an intriguing scale-inversion duality symmetry. We also identify a generic stringy effective potential for the Higgs fields in such theories. Our results can therefore serve as the launching point for a rigorous investigation of gauge hierarchy problems in string theory. |
hep-th/0403254 | Kuperstein Stanislav | Stanislav Kuperstein, Jacob Sonnenschein | Non-critical supergravity (d>1) and holography | 48 pages, JHEP style, 11 figures | JHEP 0407 (2004) 049 | 10.1088/1126-6708/2004/07/049 | TAUP-2767-04 | hep-th | null | In this paper we investigate the supergravity equations of motion associated
with non-critical ($d>1$) type II string theories that incorporate RR forms.
Using a superpotential formalism we determine several classes of solutions. In
particular we find analytic backgrounds with a structure of $AdS_{p+2}\times
S^{d-p-2}$ and numerical solutions that asymptote a linear dilaton with a
topology of $R^{1,d-3}\times R \times S^1$. The SUGRA solutions we have found
can serve as anti holographic descriptions of gauge theories in a large $N$
limit which is different than the one of the critical gauge/gravity duality. It
is characterized by $N\rt \infty$ and $g_{YM}^2 N \sim 1$. We have made the
first steps in analyzing the corresponding gauge theory properties like Wilson
loops and the glue-ball spectra.
| [
{
"created": "Thu, 25 Mar 2004 14:56:41 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kuperstein",
"Stanislav",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | In this paper we investigate the supergravity equations of motion associated with non-critical ($d>1$) type II string theories that incorporate RR forms. Using a superpotential formalism we determine several classes of solutions. In particular we find analytic backgrounds with a structure of $AdS_{p+2}\times S^{d-p-2}$ and numerical solutions that asymptote a linear dilaton with a topology of $R^{1,d-3}\times R \times S^1$. The SUGRA solutions we have found can serve as anti holographic descriptions of gauge theories in a large $N$ limit which is different than the one of the critical gauge/gravity duality. It is characterized by $N\rt \infty$ and $g_{YM}^2 N \sim 1$. We have made the first steps in analyzing the corresponding gauge theory properties like Wilson loops and the glue-ball spectra. |
1706.02634 | Alessandro Torrielli | Andrea Fontanella and Alessandro Torrielli | Massless $AdS_2$ scattering and Bethe ansatz | 14 pages, LaTeX, 1 diagram; version to appear in JHEP | null | 10.1007/JHEP09(2017)075 | DMUS-MP-17/05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We first analyse the integrable scattering theory describing the massless
excitations of $AdS_2 \times S^2 \times T^6$ superstrings in the relativistic
limit. The matrix part of the S-matrix is obtained in the BMN limit from the
conjectured exact expression, and compared with known S-matrices with N=1
supersymmetry. A dressing factor, yet unknown for the complete theory, is here
constructed based on relativistic crossing symmetry. We derive a Bethe-ansatz
condition by employing a transfer-matrix technique based on the so-called
free-fermion condition. This is known to overcome the problem of lack of a
reference state. We then generalise the method to the massless non-relativistic
case, and compare the resulting Bethe-ansatz condition with a simple massless
limit of the one conjectured by Sorokin, Tseytlin, Wulff and Zarembo.
| [
{
"created": "Thu, 8 Jun 2017 15:20:14 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Aug 2017 08:49:26 GMT",
"version": "v2"
}
] | 2017-10-25 | [
[
"Fontanella",
"Andrea",
""
],
[
"Torrielli",
"Alessandro",
""
]
] | We first analyse the integrable scattering theory describing the massless excitations of $AdS_2 \times S^2 \times T^6$ superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured exact expression, and compared with known S-matrices with N=1 supersymmetry. A dressing factor, yet unknown for the complete theory, is here constructed based on relativistic crossing symmetry. We derive a Bethe-ansatz condition by employing a transfer-matrix technique based on the so-called free-fermion condition. This is known to overcome the problem of lack of a reference state. We then generalise the method to the massless non-relativistic case, and compare the resulting Bethe-ansatz condition with a simple massless limit of the one conjectured by Sorokin, Tseytlin, Wulff and Zarembo. |
2407.11134 | Riccardo Comi | Sergio Benvenuti, Riccardo Comi, Sara Pasquetti, Matteo Sacchi | Deconfinements, Kutasov-Schwimmer dualities and $D_p[SU(N)]$ theories | 55+4 pages with many figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Kutasov-Schwimmer (KS) dualities involve a rank-$2$ field with a polynomial
superpotential. We derive KS-like dualities via deconfinement, that is assuming
only Seiberg-like dualities, which instead just involve fundamental matter. Our
derivation is split into two main steps. The first step is the construction of
two families of linear quivers with $p\!-\!1$ nodes that confine into a
rank-$2$ chiral field with degree-$(p\!+\!1)$ superpotential. Such chiral field
is an $U(N)$ adjoint in 3d and an $USp(2N)$ antisymmetric in 4d. In the second
step we use these linear quivers to derive, via deconfinement, in a relatively
straightforward fashion, two classes of KS-like dualities: the Kim-Park duality
for $U(N)$ with adjoint in 3d and the Intriligator duality for $USp(2N)$ with
antisymmetric in 4d. We also discuss the close relation of our 3d family of
confining unitary quivers to the 4d $\mathcal{N}\!=\!2$ $D_p[SU(N)]$ SCFTs by
circle compactification and various deformations.
| [
{
"created": "Mon, 15 Jul 2024 18:00:20 GMT",
"version": "v1"
}
] | 2024-07-17 | [
[
"Benvenuti",
"Sergio",
""
],
[
"Comi",
"Riccardo",
""
],
[
"Pasquetti",
"Sara",
""
],
[
"Sacchi",
"Matteo",
""
]
] | Kutasov-Schwimmer (KS) dualities involve a rank-$2$ field with a polynomial superpotential. We derive KS-like dualities via deconfinement, that is assuming only Seiberg-like dualities, which instead just involve fundamental matter. Our derivation is split into two main steps. The first step is the construction of two families of linear quivers with $p\!-\!1$ nodes that confine into a rank-$2$ chiral field with degree-$(p\!+\!1)$ superpotential. Such chiral field is an $U(N)$ adjoint in 3d and an $USp(2N)$ antisymmetric in 4d. In the second step we use these linear quivers to derive, via deconfinement, in a relatively straightforward fashion, two classes of KS-like dualities: the Kim-Park duality for $U(N)$ with adjoint in 3d and the Intriligator duality for $USp(2N)$ with antisymmetric in 4d. We also discuss the close relation of our 3d family of confining unitary quivers to the 4d $\mathcal{N}\!=\!2$ $D_p[SU(N)]$ SCFTs by circle compactification and various deformations. |
2107.04558 | Gianluca Calcagni | Leonardo Modesto, Gianluca Calcagni | Tree-level scattering amplitudes in nonlocal field theories | 1+16 pages. v2: discussion extended, references added | JHEP10(2021)169 | 10.1007/JHEP10(2021)169 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove in two ways that, for a special class of nonlocal field theories
consistent with linear and non-linear stability at the classical level, and
with unitarity and super-renormalizability or finiteness at the quantum level,
the $n$-point tree-level scattering amplitudes are the same as those of the
underlying local theory. In particular, the $n$-point amplitudes of nonlocal
gravity, with or without coupling to matter, are the same as for Einstein's
general relativity.
| [
{
"created": "Fri, 9 Jul 2021 17:22:27 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Oct 2021 08:41:28 GMT",
"version": "v2"
}
] | 2021-10-29 | [
[
"Modesto",
"Leonardo",
""
],
[
"Calcagni",
"Gianluca",
""
]
] | We prove in two ways that, for a special class of nonlocal field theories consistent with linear and non-linear stability at the classical level, and with unitarity and super-renormalizability or finiteness at the quantum level, the $n$-point tree-level scattering amplitudes are the same as those of the underlying local theory. In particular, the $n$-point amplitudes of nonlocal gravity, with or without coupling to matter, are the same as for Einstein's general relativity. |
2310.16449 | Roman Zwicky | Mikhail Shifman and Roman Zwicky | Relating $\beta'_*$ and $\gamma'_{Q*}$ in the ${\cal N}=1$ SQCD
Conformal Window | 13pp + refs and one figure | null | null | FTPI-MINN-23-19; UMN-TH-4227/23; CERN-TH-2023-188 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | In this note we show that $\beta'_*$, the $\beta$-function slopes in the
electric and magnetic theories are equal at the corresponding infrared fixed
points. This follows from the scaling of the correlators of the trace of the
energy momentum tensors. The slopes $\beta'_*$ determine the scaling
dimensions. Our paper can be considered as a commentary to Anselmi et al. [1]
-- it proposes an improved derivation not based on a rather contrived
construction by Kutasov et al. [2]. As a byproduct we note that $\gamma'_{Q^*}$
-- the slopes of the matter superfield anomalous dimension -- vanish at both
edges of the conformal window where one of the dual theories is strongly
coupled. Finally, we determine the two-coupling magnetic fixed point at weak
coupling correcting the result of [3]}.
| [
{
"created": "Wed, 25 Oct 2023 08:12:16 GMT",
"version": "v1"
}
] | 2023-10-26 | [
[
"Shifman",
"Mikhail",
""
],
[
"Zwicky",
"Roman",
""
]
] | In this note we show that $\beta'_*$, the $\beta$-function slopes in the electric and magnetic theories are equal at the corresponding infrared fixed points. This follows from the scaling of the correlators of the trace of the energy momentum tensors. The slopes $\beta'_*$ determine the scaling dimensions. Our paper can be considered as a commentary to Anselmi et al. [1] -- it proposes an improved derivation not based on a rather contrived construction by Kutasov et al. [2]. As a byproduct we note that $\gamma'_{Q^*}$ -- the slopes of the matter superfield anomalous dimension -- vanish at both edges of the conformal window where one of the dual theories is strongly coupled. Finally, we determine the two-coupling magnetic fixed point at weak coupling correcting the result of [3]}. |
hep-th/0204011 | Orlando Alvarez | Orlando Alvarez | Pseudoduality in Sigma Models | 28 pages, LaTeX file | Nucl.Phys. B638 (2002) 328-350 | 10.1016/S0550-3213(02)00448-0 | UMTG-236 | hep-th | null | We revisit classical "on shell" duality, i.e., pseudoduality, in two
dimensional conformally invariant classical sigma models and find some new
interesting results. We show that any two sigma models that are "on shell"
duals have opposite 1-loop renormalization group beta functions because of the
integrability conditions for the pseudoduality transformation. A new result
states for any two compact Lie groups of the same dimension there is a natural
pseudoduality transformation that maps classical solutions of the WZW model on
the first group into solutions of the WZW model on the second group. This
transformation preserves the stress-energy tensor. The two groups can be
non-isomorphic such as B_n and C_n in the Cartan notation. This transformation
can be used for a new construction of non-local conserved currents. The new
non-local currents on G depend on the choice of dual group G-tilde.
| [
{
"created": "Mon, 1 Apr 2002 18:18:34 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Alvarez",
"Orlando",
""
]
] | We revisit classical "on shell" duality, i.e., pseudoduality, in two dimensional conformally invariant classical sigma models and find some new interesting results. We show that any two sigma models that are "on shell" duals have opposite 1-loop renormalization group beta functions because of the integrability conditions for the pseudoduality transformation. A new result states for any two compact Lie groups of the same dimension there is a natural pseudoduality transformation that maps classical solutions of the WZW model on the first group into solutions of the WZW model on the second group. This transformation preserves the stress-energy tensor. The two groups can be non-isomorphic such as B_n and C_n in the Cartan notation. This transformation can be used for a new construction of non-local conserved currents. The new non-local currents on G depend on the choice of dual group G-tilde. |
hep-th/0307264 | Yu Tian | Yu Tian | Drinfeld-Manin Instanton and Its Noncommutative Generalization | 17 pages, LaTeX, references added, mailing address added,
clarifications added | Chin.Phys.C34:1556-1564,2010 | 10.1088/1674-1137/34/10/002 | null | hep-th | null | The Drinfeld-Manin construction of U(N) instanton is reformulated in the ADHM
formulism, which gives explicit general solutions of the ADHM constraints for
U(N) (N>=2k-1) k-instantons. For the N<2k-1 case, implicit results are given
systematically as further constraints, which can be used to the collective
coordinate integral. We find that this formulism can be easily generalized to
the noncommutative case, where the explicit solutions are as well obtained.
| [
{
"created": "Sun, 27 Jul 2003 16:43:16 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Aug 2003 14:34:24 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Sep 2003 03:30:34 GMT",
"version": "v3"
},
{
"created": "Fri, 17 Oct 2003 09:35:56 GMT",
"version": "v4"
},
{
"created": "Tue, 23 Nov 2004 05:54:29 GMT",
"version": "v5"
}
] | 2011-04-07 | [
[
"Tian",
"Yu",
""
]
] | The Drinfeld-Manin construction of U(N) instanton is reformulated in the ADHM formulism, which gives explicit general solutions of the ADHM constraints for U(N) (N>=2k-1) k-instantons. For the N<2k-1 case, implicit results are given systematically as further constraints, which can be used to the collective coordinate integral. We find that this formulism can be easily generalized to the noncommutative case, where the explicit solutions are as well obtained. |
hep-th/9904096 | Hiroshi Suzuki | Yoshihisa Ohshima, Kiyoshi Okuyama, Hiroshi Suzuki and Hirofumi Yasuta
(Ibaraki University) | Remark on the Consistent Gauge Anomaly in Supersymmetric Theories | uses PHYZZX, 17 pages, the result of SUSY anomaly in the Wess-Zumino
gauge added | Phys.Lett. B457 (1999) 291-298 | 10.1016/S0370-2693(99)00585-7 | IU-MSTP/33 | hep-th | null | We present a direct field theoretical calculation of the consistent gauge
anomaly in the superfield formalism, on the basis of a definition of the
effective action through the covariant gauge current. The scheme is
conceptually and technically simple and the gauge covariance in intermediate
steps reduces calculational labors considerably. The resultant superfield
anomaly, being proportional to the anomaly $d^{abc}=\tr T^a\{T^b,T^c\}$, is
minimal without supplementing any counterterms. Our anomaly coincides with the
anomaly obtained by Marinkovi\'c as the solution of the Wess-Zumino consistency
condition.
| [
{
"created": "Wed, 14 Apr 1999 08:34:05 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Apr 1999 04:26:58 GMT",
"version": "v2"
},
{
"created": "Sat, 1 May 1999 06:23:49 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Ohshima",
"Yoshihisa",
"",
"Ibaraki University"
],
[
"Okuyama",
"Kiyoshi",
"",
"Ibaraki University"
],
[
"Suzuki",
"Hiroshi",
"",
"Ibaraki University"
],
[
"Yasuta",
"Hirofumi",
"",
"Ibaraki University"
]
] | We present a direct field theoretical calculation of the consistent gauge anomaly in the superfield formalism, on the basis of a definition of the effective action through the covariant gauge current. The scheme is conceptually and technically simple and the gauge covariance in intermediate steps reduces calculational labors considerably. The resultant superfield anomaly, being proportional to the anomaly $d^{abc}=\tr T^a\{T^b,T^c\}$, is minimal without supplementing any counterterms. Our anomaly coincides with the anomaly obtained by Marinkovi\'c as the solution of the Wess-Zumino consistency condition. |
hep-th/9511096 | Euro Spallucci | S.Ansoldi, A.Aurilia, E.Spallucci | Membrane Vacuum as a Type II Superconductor | 14 pages, no figures, LaTeX; to be Published on In.J.Mod.Phys.B
Umezawa Memorial Issue | Int.J.Mod.Phys. B10 (1996) 1695-1705 | 10.1142/S0217979296000775 | UTS-DFT-95-10 | hep-th | null | We study a functional field theory of membranes coupled to a rank--three
tensor gauge potential. We show that gauge field radiative corrections lead to
membrane condensation which turns the gauge field into a {\it massive spin--0
field}. This is the Coleman--Weinberg mechanism for {\it membranes}. An analogy
is also drawn with a type--II superconductor. The ground state of the system
consists of a two--phase medium in which the superconducting background
condensate is ``pierced'' by four dimensional domains, or ``bags'', of non
superconducting vacuum. Bags are bounded by membranes whose physical thickness
is of the order of the inverse mass acquired by the gauge field.
| [
{
"created": "Tue, 14 Nov 1995 09:35:11 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ansoldi",
"S.",
""
],
[
"Aurilia",
"A.",
""
],
[
"Spallucci",
"E.",
""
]
] | We study a functional field theory of membranes coupled to a rank--three tensor gauge potential. We show that gauge field radiative corrections lead to membrane condensation which turns the gauge field into a {\it massive spin--0 field}. This is the Coleman--Weinberg mechanism for {\it membranes}. An analogy is also drawn with a type--II superconductor. The ground state of the system consists of a two--phase medium in which the superconducting background condensate is ``pierced'' by four dimensional domains, or ``bags'', of non superconducting vacuum. Bags are bounded by membranes whose physical thickness is of the order of the inverse mass acquired by the gauge field. |
2112.13059 | Konstantinos Koutrolikos | I. L. Buchbinder, S. James Gates Jr., K. Koutrolikos | Superspace BRST/BV operators of superfield gauge theories | null | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the superspace BRST and BV description of $4D,~\mathcal{N}=1$
Super Maxwell theory and its non-abelian generalization Super Yang-Mills. By
fermionizing the superspace gauge transformation of the gauge superfields we
define the nilpotent superspace BRST symmetry transformation ($\mathscr{s}$).
After introducing an appropriate set of anti-superfields and define the
superspace antibracket, we use it to construct the BV-BRST nilpotent
differential operator ($\mathfrak{s}$) in terms of superspace covariant
derivatives. The anti-superfield independent terms of $\mathfrak{s}$ provide a
superspace generalization of the Koszul-Tate resolution ($\delta$). In the
linearized limit, the set of superspace differential operators that appear in
$\mathfrak{s}$ satisfy a nonlinear algebra which can be used to construct a
BRST charge $Q$ without requiring pure spinor variables. $Q$ acts on the
Hilbert space of superfield states and its cohomology generates the expected
superspace equations of motion.
| [
{
"created": "Fri, 24 Dec 2021 13:31:31 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jan 2022 14:21:17 GMT",
"version": "v2"
}
] | 2022-01-19 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Gates",
"S. James",
"Jr."
],
[
"Koutrolikos",
"K.",
""
]
] | We consider the superspace BRST and BV description of $4D,~\mathcal{N}=1$ Super Maxwell theory and its non-abelian generalization Super Yang-Mills. By fermionizing the superspace gauge transformation of the gauge superfields we define the nilpotent superspace BRST symmetry transformation ($\mathscr{s}$). After introducing an appropriate set of anti-superfields and define the superspace antibracket, we use it to construct the BV-BRST nilpotent differential operator ($\mathfrak{s}$) in terms of superspace covariant derivatives. The anti-superfield independent terms of $\mathfrak{s}$ provide a superspace generalization of the Koszul-Tate resolution ($\delta$). In the linearized limit, the set of superspace differential operators that appear in $\mathfrak{s}$ satisfy a nonlinear algebra which can be used to construct a BRST charge $Q$ without requiring pure spinor variables. $Q$ acts on the Hilbert space of superfield states and its cohomology generates the expected superspace equations of motion. |
hep-th/9911114 | Yang-Hui Evariste He | Yang-Hui He | Some Remarks on the Finitude of Quiver Theories | 29 Pages, 3 Figures | Int. J. Math. and Math. Sci. 2001 | null | MIT-CTP-2921; NSF-ITP-99-137 | hep-th | null | D-brane probes, Hanany-Witten setups and geometrical engineering stand as a
trichotomy of the currently fashionable techniques of constructing gauge
theories from string theory. Meanwhile, asymptotic freedom, finitude and IR
freedom pose as a trichotomy of the beta-function behaviour in quantum field
theories. Parallel thereto is a trichotomy in set theory of finite, tame and
wild representation types. At the intersection of the above lies the theory of
quivers. We briefly review some of the terminology standard to the physics and
to the mathematics. Then we utilise certain results from graph theory and
axiomatic representation theory of path algebras to address physical issues
such as the implication of graph additivity to finiteness of gauge theories,
the impossibility of constructing completely IR free string orbifold theories
and the unclassifiability of N<2 Yang-Mills theories in four dimensions.
| [
{
"created": "Tue, 16 Nov 1999 00:16:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"He",
"Yang-Hui",
""
]
] | D-brane probes, Hanany-Witten setups and geometrical engineering stand as a trichotomy of the currently fashionable techniques of constructing gauge theories from string theory. Meanwhile, asymptotic freedom, finitude and IR freedom pose as a trichotomy of the beta-function behaviour in quantum field theories. Parallel thereto is a trichotomy in set theory of finite, tame and wild representation types. At the intersection of the above lies the theory of quivers. We briefly review some of the terminology standard to the physics and to the mathematics. Then we utilise certain results from graph theory and axiomatic representation theory of path algebras to address physical issues such as the implication of graph additivity to finiteness of gauge theories, the impossibility of constructing completely IR free string orbifold theories and the unclassifiability of N<2 Yang-Mills theories in four dimensions. |
hep-th/9801097 | Francesco Sannino | S.D.H. Hsu (Yale Univ.), F. Sannino (Yale Univ.) and J. Schechter
(Syracuse Univ.) | Anomaly induced QCD potential and Quark Decoupling | 11 pages, RevTeX | Phys.Lett. B427 (1998) 300-306 | 10.1016/S0370-2693(98)00356-6 | YCTP-P28-97, SU-4240-673 | hep-th hep-ph | null | We explore the anomaly induced effective QCD meson potential in the framework
of the effective Lagrangian approach. We suggest a decoupling procedure, when a
flavored quark becomes massive, which mimics the one employed by Seiberg for
supersymmetric gauge theories. It is seen that, after decoupling, the QCD
potential naturally converts to the one with one less flavor. We study the
$N_c$ and $N_f$ dependence of the $\eta^{\prime}$ mass.
| [
{
"created": "Thu, 15 Jan 1998 01:43:04 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Hsu",
"S. D. H.",
"",
"Yale Univ."
],
[
"Sannino",
"F.",
"",
"Yale Univ."
],
[
"Schechter",
"J.",
"",
"Syracuse Univ."
]
] | We explore the anomaly induced effective QCD meson potential in the framework of the effective Lagrangian approach. We suggest a decoupling procedure, when a flavored quark becomes massive, which mimics the one employed by Seiberg for supersymmetric gauge theories. It is seen that, after decoupling, the QCD potential naturally converts to the one with one less flavor. We study the $N_c$ and $N_f$ dependence of the $\eta^{\prime}$ mass. |
0708.2818 | Shin Nakamura | Shin Nakamura, Yunseok Seo, Sang-Jin Sin and K. P. Yogendran | Baryon-charge Chemical Potential in AdS/CFT | Revtex4, 36 pages with 23 figures | Prog.Theor.Phys.120:51-76,2008 | 10.1143/PTP.120.51 | null | hep-th hep-ph nucl-th | null | We present a closed framework of AdS/CFT with finite U(1)B-charge chemical
potential. We show how the gauge-invariant identification of the chemical
potential with the bulk gauge field emerges from the standard AdS/CFT
dictionary. Physical importance and necessity of the Minkowski embeddings
within the present framework is also shown numerically in the D3-D7 systems. We
point out that the D3-D7 model with only the black-hole embeddings does not
have the low-temperature and low-chemical-potential region in the
grand-canonical ensemble, hence it is incomplete. A physical interpretation
that explains these numerical results is also proposed.
| [
{
"created": "Tue, 21 Aug 2007 11:49:41 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nakamura",
"Shin",
""
],
[
"Seo",
"Yunseok",
""
],
[
"Sin",
"Sang-Jin",
""
],
[
"Yogendran",
"K. P.",
""
]
] | We present a closed framework of AdS/CFT with finite U(1)B-charge chemical potential. We show how the gauge-invariant identification of the chemical potential with the bulk gauge field emerges from the standard AdS/CFT dictionary. Physical importance and necessity of the Minkowski embeddings within the present framework is also shown numerically in the D3-D7 systems. We point out that the D3-D7 model with only the black-hole embeddings does not have the low-temperature and low-chemical-potential region in the grand-canonical ensemble, hence it is incomplete. A physical interpretation that explains these numerical results is also proposed. |
2401.17198 | Yutaka Yoshida | Yutaka Yoshida | Euler transformation for multiple $q$-hypergeometric series from
wall-crossing formula of $K$-theoretic vortex partition function | 27 pages | null | null | null | hep-th math-ph math.AG math.MP | http://creativecommons.org/licenses/by/4.0/ | We show that transformation formulas of multiple $q$-hypergeometric series
agree with wall-crossing formulas of $K$-theoretic vortex partition functions
obtained by Hwang, Yi and the author \cite{Hwang:2017kmk}. For the vortex
partition function in 3d $\mathcal{N}=2$ gauge theory, we show that the
wall-crossing formula agrees with the Kajihara transformation
\cite{kajihara2004euler}. For the vortex partition function in 3d
$\mathcal{N}=4$ gauge theory, we show that the wall-crossing formula agrees
with the transformation formula by Halln\"as, Langmann, Noumi and Rosengren
\cite{Halln_s_2022}. Since the $K$-theoretic vortex partition functions are
related with indices such as the $\chi_t$-genus of the handsaw quiver variety,
we discuss geometric interpretation of Euler transformations in terms of
wall-crossing formulas of handsaw quiver variety.
| [
{
"created": "Tue, 30 Jan 2024 17:31:25 GMT",
"version": "v1"
}
] | 2024-01-31 | [
[
"Yoshida",
"Yutaka",
""
]
] | We show that transformation formulas of multiple $q$-hypergeometric series agree with wall-crossing formulas of $K$-theoretic vortex partition functions obtained by Hwang, Yi and the author \cite{Hwang:2017kmk}. For the vortex partition function in 3d $\mathcal{N}=2$ gauge theory, we show that the wall-crossing formula agrees with the Kajihara transformation \cite{kajihara2004euler}. For the vortex partition function in 3d $\mathcal{N}=4$ gauge theory, we show that the wall-crossing formula agrees with the transformation formula by Halln\"as, Langmann, Noumi and Rosengren \cite{Halln_s_2022}. Since the $K$-theoretic vortex partition functions are related with indices such as the $\chi_t$-genus of the handsaw quiver variety, we discuss geometric interpretation of Euler transformations in terms of wall-crossing formulas of handsaw quiver variety. |
2012.15687 | Maximilian Attems | Maximilian Attems | Holographic approach of the spinodal instability to criticality | 22 pages, 9 figures, 4 tables, 1 dataset | null | 10.1007/JHEP08(2021)155 | CERN-TH-2020-223 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by-sa/4.0/ | A smoking gun signature for a first-order phase transition with negative
speed of sound squared $c_s^2$ is the occurrence of a spinodal instability. In
the gauge/gravity duality it corresponds to a Gregory-Laflamme type
instability, which can be numerically simulated as the evolution of unstable
planar black branes. Making use of holography its dynamics is studied far from
and near a critical point with the following results. Near a critical point the
interface between cold and hot stable phases, given by its width and surface
tension, is found to feature a wider phase separation and a smaller surface
tension. Far away from a critical point the formation time of the spinodal
instability is reduced. Across softer and harder phase transitions, it is
demonstrated that mergers of equilibrated peaks and unstable plateaux lead to
the preferred final single phase separated solution. Finally, a new atypical
setup with dissipation of a peak into a plateau is discovered. In order to
distinguish the inhomogeneous states I propose a new criterium based on the
maximum of the transverse pressure at the interface which encodes phase-mixed
peaks versus fully phase separated plateaux.
| [
{
"created": "Thu, 31 Dec 2020 16:12:00 GMT",
"version": "v1"
}
] | 2021-09-15 | [
[
"Attems",
"Maximilian",
""
]
] | A smoking gun signature for a first-order phase transition with negative speed of sound squared $c_s^2$ is the occurrence of a spinodal instability. In the gauge/gravity duality it corresponds to a Gregory-Laflamme type instability, which can be numerically simulated as the evolution of unstable planar black branes. Making use of holography its dynamics is studied far from and near a critical point with the following results. Near a critical point the interface between cold and hot stable phases, given by its width and surface tension, is found to feature a wider phase separation and a smaller surface tension. Far away from a critical point the formation time of the spinodal instability is reduced. Across softer and harder phase transitions, it is demonstrated that mergers of equilibrated peaks and unstable plateaux lead to the preferred final single phase separated solution. Finally, a new atypical setup with dissipation of a peak into a plateau is discovered. In order to distinguish the inhomogeneous states I propose a new criterium based on the maximum of the transverse pressure at the interface which encodes phase-mixed peaks versus fully phase separated plateaux. |
hep-th/9910035 | Vivian de la Incera | E. J. Ferrer and V. de la Incera | On Magnetic Catalysis and Gauge Symmetry Breaking | 9 pages, revtex, various equations, discussions and references added,
typos corrected | null | null | UB-ECM-PF 99/18 | hep-th hep-ph | null | Non-perturbative effects of constant magnetic fields in a Higgs-Yukawa gauge
model are studied using the extremum equations of the effective action for
composite operators. It is found that the magnetic field induces a Higgs
condensate, a fermion-antifermion condensate, and a fermion dynamical mass,
hence breaking the discrete chiral symmetry of the theory. The results imply
that for a non-simple group extension of the present model, the external
magnetic field would either induce or reinforce gauge symmetry breaking.
Possible cosmological applications of these results in the electroweak phase
transition are suggested.
| [
{
"created": "Tue, 5 Oct 1999 08:07:33 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 1999 12:13:39 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ferrer",
"E. J.",
""
],
[
"de la Incera",
"V.",
""
]
] | Non-perturbative effects of constant magnetic fields in a Higgs-Yukawa gauge model are studied using the extremum equations of the effective action for composite operators. It is found that the magnetic field induces a Higgs condensate, a fermion-antifermion condensate, and a fermion dynamical mass, hence breaking the discrete chiral symmetry of the theory. The results imply that for a non-simple group extension of the present model, the external magnetic field would either induce or reinforce gauge symmetry breaking. Possible cosmological applications of these results in the electroweak phase transition are suggested. |
hep-th/0208020 | Augusto Sagnotti | Augusto Sagnotti (U. Roma "Tor Vergata") | Open strings and their symmetry groups | Latex, 12 pages, 2 eps figures. Talk presented at the Cargese Summer
Institute on Non-Perturbative Methods in Field Theory, Cargese, France, July
16-30, 1987 | Cargese Summer Inst.1987:0521-528 | null | ROM2F-87/25 | hep-th | null | Much of the recent progress in String Theory can be traced to a precise
strategy: a careful study of the few models known since the beginnings of the
subject, and the abstraction from them of basic properties that one would like
to demand from other models. This could be termed a set of "model-building
rules". The approach corresponds to the fact, often a source of embarrassment
to specialists, that String Theory, born as a set of rules rather than as a set
of principles, has long resisted attempts to reduce it to a logically
satisfying structure.
Talk presented at the Cargese Summer Institute on Non-Perturbative Methods in
Field Theory, Cargese, France, July 16-30, 1987.
| [
{
"created": "Fri, 2 Aug 2002 21:22:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sagnotti",
"Augusto",
"",
"U. Roma \"Tor Vergata\""
]
] | Much of the recent progress in String Theory can be traced to a precise strategy: a careful study of the few models known since the beginnings of the subject, and the abstraction from them of basic properties that one would like to demand from other models. This could be termed a set of "model-building rules". The approach corresponds to the fact, often a source of embarrassment to specialists, that String Theory, born as a set of rules rather than as a set of principles, has long resisted attempts to reduce it to a logically satisfying structure. Talk presented at the Cargese Summer Institute on Non-Perturbative Methods in Field Theory, Cargese, France, July 16-30, 1987. |
hep-th/9407029 | null | D. Caenepeel and M. Leblanc | Mass Generation for Gauge Fields without Scalars | 6 pages, talk given by D.C. at the MRST-94 Conference "What Next?
Exploring the Future of High-Energy Physics", McGill University, Montreal,
Canada, may 1994, UdeM-LPN-TH-94-201 | null | null | null | hep-th | null | We present an alternative to the Higgs mechanism to generate masses for
non-abelian gauge fields in (3+1)-dimensions. The initial Lagrangian is
composed of a fermion with current-current and dipole-dipole type
self-interactions minimally coupled to non-abelian gauge fields. The mass
generation occurs upon the fermionic functional integration. We show that by
fine-tuning the coupling constants the effective theory contains massive
non-abelian gauge fields without any residual scalars or other degrees of
freedom.
| [
{
"created": "Tue, 5 Jul 1994 20:11:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Caenepeel",
"D.",
""
],
[
"Leblanc",
"M.",
""
]
] | We present an alternative to the Higgs mechanism to generate masses for non-abelian gauge fields in (3+1)-dimensions. The initial Lagrangian is composed of a fermion with current-current and dipole-dipole type self-interactions minimally coupled to non-abelian gauge fields. The mass generation occurs upon the fermionic functional integration. We show that by fine-tuning the coupling constants the effective theory contains massive non-abelian gauge fields without any residual scalars or other degrees of freedom. |
hep-th/9702129 | Jouko Mickelsson | Jouko Mickelsson | Vacuum polarization and the geometric phase: Gauge invariance | AmsTex file, 10 output pages, no figures. (Can be run with plain Tex,
the file will call for the macros amstex.tex and amsppt.sty.) | J.Math.Phys. 39 (1998) 831-837 | 10.1063/1.532354 | null | hep-th | null | A nonperturbative approach to the vacuum polarization for quantized fermions
in external vector potentials is discussed. It is shown that by a suitable
choice of counterterms the vacuum polarization phase is both gauge and
renormalization independent, within a large class of nonperturbative
renormalizations.
| [
{
"created": "Mon, 17 Feb 1997 12:51:15 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Mickelsson",
"Jouko",
""
]
] | A nonperturbative approach to the vacuum polarization for quantized fermions in external vector potentials is discussed. It is shown that by a suitable choice of counterterms the vacuum polarization phase is both gauge and renormalization independent, within a large class of nonperturbative renormalizations. |
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