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/9311071 | Antonio Gabriel Oliveira Moreira | A.Restuccia and J. Stephany | Covariant Quantization Of Green Schwarz Superstring | 21 pages | Proceedings of XIV National Meeting of Particles and Fields,
Brazil. Ed. Adilson J. Da Silva et al, p. 1-23. Sociedade Brasileira de
Fisica. (1994) | null | 216-AR-JS | hep-th | null | We describe a canonical covariant approach to the quantization of the
Green-Schwarz superstring. The approach is first applied to the canonical
covariant quantization of the Brink and Schwarz superparticle. The Kallosh
action is obtained in this case, with the correct BRST cohomology.
| [
{
"created": "Thu, 11 Nov 1993 21:36:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Restuccia",
"A.",
""
],
[
"Stephany",
"J.",
""
]
] | We describe a canonical covariant approach to the quantization of the Green-Schwarz superstring. The approach is first applied to the canonical covariant quantization of the Brink and Schwarz superparticle. The Kallosh action is obtained in this case, with the correct BRST cohomology. |
2001.02208 | Brian Dolan | Brian P. Dolan and Aonghus Hunter-McCabe | Ground state wave functions for the quantum Hall effect on a sphere and
the Atiyah-Singer index theorem | 16 pages, minor typos corrected in v3. This is an author-created,
un-copyedited version of an article published in Journal of Physics A. IOP
Publishing Ltd is not responsible for any errors or omissions in this version
of the manuscript or any version derived from it. This article is published
under a CC BY licence. Version of Record is available online at
https://doi.org/10.1088/1751-8121/ab85e1 | null | 10.1088/1751-8121/ab85e1 | DIAS-STP-20-01 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quantum Hall effect is studied in a spherical geometry using the Dirac
operator for non-interacting fermions in a background magnetic field, which is
supplied by a Wu-Yang magnetic monopole at the centre of the sphere. Wave
functions are cross-section of a non-trivial $U(1)$ bundle, the zero point
energy then vanishes and no perturbations can lower the energy. The
Atiyah-Singer index theorem constrains the degeneracy of the ground state.
The fractional quantum Hall effect is also studied in the composite Fermion
model. Vortices of the statistical gauge field are supplied by Dirac strings
associated with the monopole field. A unique ground state is attained only if
the vortices have an even number of flux units and act to counteract the
background field, reducing the effective field seen by the composite fermions.
There is a unique gapped ground state and, for large particle numbers,
fractions $\nu=\frac{1}{2 k+1}$ are recovered.
| [
{
"created": "Tue, 7 Jan 2020 18:20:44 GMT",
"version": "v1"
},
{
"created": "Mon, 25 May 2020 10:07:50 GMT",
"version": "v2"
},
{
"created": "Sat, 17 Feb 2024 13:14:52 GMT",
"version": "v3"
}
] | 2024-02-20 | [
[
"Dolan",
"Brian P.",
""
],
[
"Hunter-McCabe",
"Aonghus",
""
]
] | The quantum Hall effect is studied in a spherical geometry using the Dirac operator for non-interacting fermions in a background magnetic field, which is supplied by a Wu-Yang magnetic monopole at the centre of the sphere. Wave functions are cross-section of a non-trivial $U(1)$ bundle, the zero point energy then vanishes and no perturbations can lower the energy. The Atiyah-Singer index theorem constrains the degeneracy of the ground state. The fractional quantum Hall effect is also studied in the composite Fermion model. Vortices of the statistical gauge field are supplied by Dirac strings associated with the monopole field. A unique ground state is attained only if the vortices have an even number of flux units and act to counteract the background field, reducing the effective field seen by the composite fermions. There is a unique gapped ground state and, for large particle numbers, fractions $\nu=\frac{1}{2 k+1}$ are recovered. |
2206.04694 | Karol Kampf | Christoph Bartsch, Karol Kampf and Jaroslav Trnka | Recursion Relations for One-Loop Goldstone Boson Amplitudes | 5 pages | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter, we construct the recursion relations for one-loop planar
integrands in the SU(N) non-linear sigma model. This generalizes the soft
recursions for tree-level amplitudes in a variety of quantum field theories
with special soft limits. The main ingredient is the definition of the one-loop
planar integrand, which is fixed by cuts in the sense of generalized unitarity
and by requiring the Adler zero on all external legs. We show that this does
not uniquely fix the integrand, so additional constraints on the soft behavior
of the loop momentum have to be imposed. Our work is the first step in
extending modern amplitudes methods for loop amplitudes to effective field
theories with special soft limits.
| [
{
"created": "Thu, 9 Jun 2022 18:00:00 GMT",
"version": "v1"
}
] | 2022-06-13 | [
[
"Bartsch",
"Christoph",
""
],
[
"Kampf",
"Karol",
""
],
[
"Trnka",
"Jaroslav",
""
]
] | In this letter, we construct the recursion relations for one-loop planar integrands in the SU(N) non-linear sigma model. This generalizes the soft recursions for tree-level amplitudes in a variety of quantum field theories with special soft limits. The main ingredient is the definition of the one-loop planar integrand, which is fixed by cuts in the sense of generalized unitarity and by requiring the Adler zero on all external legs. We show that this does not uniquely fix the integrand, so additional constraints on the soft behavior of the loop momentum have to be imposed. Our work is the first step in extending modern amplitudes methods for loop amplitudes to effective field theories with special soft limits. |
2312.17245 | Tomasz Trze\'sniewski | Andrzej Borowiec, Jerzy Kowalski-Glikman, Tomasz Trze\'sniewski | On Carrollian and Galilean contractions of BMS algebra in 3 and 4
dimensions | 17 pages, v2 the role of real forms clarified, extended discussion of
the contractions of $\Lambda$-BMS_3, typos in formulae corrected, references
added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we find a class of Carrollian and Galilean contractions of
(extended) BMS algebra in 3+1 and 2+1 dimensions. To this end, we investigate
possible embeddings of 3D/4D Poincar\'{e} into the BMS${}_3$ and BMS${}_4$
algebras, respectively. The contraction limits in the 2+1-dimensional case are
then enforced by appropriate contractions of its Poincar\'{e} subalgebras. In
3+1 dimensions, we have to apply instead the analogy between the structures of
Poincar\'{e} and BMS algebra. In the case of non-vanishing cosmological
constant in 2+1 dimensions, we consider the contractions of $\Lambda$-BMS${}_3$
algebra in an analogous manner.
| [
{
"created": "Thu, 28 Dec 2023 18:59:23 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Feb 2024 18:59:18 GMT",
"version": "v2"
}
] | 2024-02-19 | [
[
"Borowiec",
"Andrzej",
""
],
[
"Kowalski-Glikman",
"Jerzy",
""
],
[
"Trześniewski",
"Tomasz",
""
]
] | In this paper, we find a class of Carrollian and Galilean contractions of (extended) BMS algebra in 3+1 and 2+1 dimensions. To this end, we investigate possible embeddings of 3D/4D Poincar\'{e} into the BMS${}_3$ and BMS${}_4$ algebras, respectively. The contraction limits in the 2+1-dimensional case are then enforced by appropriate contractions of its Poincar\'{e} subalgebras. In 3+1 dimensions, we have to apply instead the analogy between the structures of Poincar\'{e} and BMS algebra. In the case of non-vanishing cosmological constant in 2+1 dimensions, we consider the contractions of $\Lambda$-BMS${}_3$ algebra in an analogous manner. |
1708.08471 | Daniel Grumiller | Daniel Grumiller, Robert McNees, Jakob Salzer, Carlos Valc\'arcel,
Dmitri Vassilevich | Menagerie of AdS$\boldsymbol{_2}$ boundary conditions | 42 pp, 5 figs, v2: added refs | null | 10.1007/JHEP10(2017)203 | TUW-17-05 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider different sets of AdS$_2$ boundary conditions for the
Jackiw-Teitelboim model in the linear dilaton sector where the dilaton is
allowed to fluctuate to leading order at the boundary of the Poincar\'e disk.
The most general set of boundary condtions is easily motivated in the gauge
theoretic formulation as a Poisson sigma model and has an $\mathfrak{sl}(2)$
current algebra as asymptotic symmetries. Consistency of the variational
principle requires a novel boundary counterterm in the holographically
renormalized action, namely a kinetic term for the dilaton. The on-shell action
can be naturally reformulated as a Schwarzian boundary action. While there can
be at most three canonical boundary charges on an equal-time slice, we consider
all Fourier modes of these charges with respect to the Euclidean boundary time
and study their associated algebras. Besides the (centerless)
$\mathfrak{sl}(2)$ current algebra we find for stricter boundary conditions a
Virasoro algebra, a warped conformal algebra and a $\mathfrak{u}(1)$ current
algebra. In each of these cases we get one half of a corresponding symmetry
algebra in three-dimensional Einstein gravity with negative cosmological
constant and analogous boundary conditions. However, on-shell some of these
algebras reduce to finite-dimensional ones, reminiscent of the on-shell
breaking of conformal invariance in SYK. We conclude with a discussion of
thermodynamical aspects, in particular the entropy and some Cardyology.
| [
{
"created": "Mon, 28 Aug 2017 18:02:12 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Sep 2017 06:27:11 GMT",
"version": "v2"
}
] | 2017-11-22 | [
[
"Grumiller",
"Daniel",
""
],
[
"McNees",
"Robert",
""
],
[
"Salzer",
"Jakob",
""
],
[
"Valcárcel",
"Carlos",
""
],
[
"Vassilevich",
"Dmitri",
""
]
] | We consider different sets of AdS$_2$ boundary conditions for the Jackiw-Teitelboim model in the linear dilaton sector where the dilaton is allowed to fluctuate to leading order at the boundary of the Poincar\'e disk. The most general set of boundary condtions is easily motivated in the gauge theoretic formulation as a Poisson sigma model and has an $\mathfrak{sl}(2)$ current algebra as asymptotic symmetries. Consistency of the variational principle requires a novel boundary counterterm in the holographically renormalized action, namely a kinetic term for the dilaton. The on-shell action can be naturally reformulated as a Schwarzian boundary action. While there can be at most three canonical boundary charges on an equal-time slice, we consider all Fourier modes of these charges with respect to the Euclidean boundary time and study their associated algebras. Besides the (centerless) $\mathfrak{sl}(2)$ current algebra we find for stricter boundary conditions a Virasoro algebra, a warped conformal algebra and a $\mathfrak{u}(1)$ current algebra. In each of these cases we get one half of a corresponding symmetry algebra in three-dimensional Einstein gravity with negative cosmological constant and analogous boundary conditions. However, on-shell some of these algebras reduce to finite-dimensional ones, reminiscent of the on-shell breaking of conformal invariance in SYK. We conclude with a discussion of thermodynamical aspects, in particular the entropy and some Cardyology. |
1408.3124 | Justin F. Vazquez-Poritz | H. Lu and Justin F. Vazquez-Poritz | Dynamic C-metrics in (Gauged) Supergravities | 10 pages, 2 figures | Phys.Rev. D91 (2015) 6, 064004 | 10.1103/PhysRevD.91.064004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct an exact time-dependent charged dilaton C-metric in
four-dimensional ${\cal N}=4$ gauged supergravity. The scalar field drives the
time evolution by transferring energy to the black holes, thereby causing their
masses to increase and their acceleration to decrease. The values of the
electric/magnetic and scalar charges determine three regions of potential time
evolution. This solution holographically describes a strongly-coupled
three-dimensional conformal field theory on the background of an evolving black
hole. We also find new static charged dilaton C-metrics, which arise in
four-dimensional Einstein-Maxwell-dilaton theories whose scalar potential can
be expressed in terms of a superpotential.
| [
{
"created": "Wed, 13 Aug 2014 20:00:12 GMT",
"version": "v1"
}
] | 2015-03-23 | [
[
"Lu",
"H.",
""
],
[
"Vazquez-Poritz",
"Justin F.",
""
]
] | We construct an exact time-dependent charged dilaton C-metric in four-dimensional ${\cal N}=4$ gauged supergravity. The scalar field drives the time evolution by transferring energy to the black holes, thereby causing their masses to increase and their acceleration to decrease. The values of the electric/magnetic and scalar charges determine three regions of potential time evolution. This solution holographically describes a strongly-coupled three-dimensional conformal field theory on the background of an evolving black hole. We also find new static charged dilaton C-metrics, which arise in four-dimensional Einstein-Maxwell-dilaton theories whose scalar potential can be expressed in terms of a superpotential. |
hep-th/9812197 | Hagen Kleinert | Hagen Kleinert | Seven-Loop Critical Exponents from Strong-Coupling phi^4-Theory in Three
Dimensions | Author Information under
http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of
paper also at
http://www.physik.fu-berlin.de/~kleinert/kleiner_re279/preprint.html | Phys.Rev. D60 (1999) 085001 | 10.1103/PhysRevD.60.085001 | null | hep-th | null | Using strong-coupling quantum field theory we calculate highly accurate
critical exponents nu, eta from new seven-loop expansions in three dimensions.
Our theoretical value for the critical exponent alpha of the specific heat near
the lambda-point of superfluid helium is alpha =-0.01294+-0.00060, in excellent
agreement with the space shuttle experimental value alpha =-0.01285+-0.00038.
| [
{
"created": "Tue, 22 Dec 1998 08:26:19 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 1999 11:43:44 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kleinert",
"Hagen",
""
]
] | Using strong-coupling quantum field theory we calculate highly accurate critical exponents nu, eta from new seven-loop expansions in three dimensions. Our theoretical value for the critical exponent alpha of the specific heat near the lambda-point of superfluid helium is alpha =-0.01294+-0.00060, in excellent agreement with the space shuttle experimental value alpha =-0.01285+-0.00038. |
2310.01702 | Vasileios A. Letsios | Vasileios A. Letsios | New conformal-like symmetry of strictly massless fermions in
four-dimensional de Sitter space | 51 pages (main text is 37 pages long). This version has been accepted
for publication in JHEP | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present new infinitesimal `conformal-like' symmetries for the field
equations of strictly massless spin-$s \geq 3/2$ totally symmetric
tensor-spinors (i.e. gauge potentials) on 4-dimensional de Sitter spacetime
($dS_{4}$). The corresponding symmetry transformations are generated by the
five closed conformal Killing vectors of $dS_{4}$, but they are not
conventional conformal transformations. We show that the algebra generated by
the ten de Sitter (dS) symmetries and the five conformal-like symmetries closes
on the conformal-like algebra $so(4,2)$ up to gauge transformations of the
gauge potentials. The transformations of the gauge-invariant field strength
tensor-spinors under the conformal-like symmetries are given by the product of
$\gamma^{5}$ times a usual infinitesimal conformal transformation of the field
strengths. Furthermore, we demonstrate that the two sets of physical mode
solutions, corresponding to the two helicities $\pm s$ of the strictly massless
theories, form a direct sum of Unitary Irreducible Representations (UIRs) of
the conformal-like algebra. We also fill a gap in the literature by explaining
how these physical modes form a direct sum of Discrete Series UIRs of the dS
algebra $so(4,1)$.
| [
{
"created": "Mon, 2 Oct 2023 23:39:34 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Oct 2023 21:13:23 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Apr 2024 02:41:24 GMT",
"version": "v3"
}
] | 2024-04-23 | [
[
"Letsios",
"Vasileios A.",
""
]
] | We present new infinitesimal `conformal-like' symmetries for the field equations of strictly massless spin-$s \geq 3/2$ totally symmetric tensor-spinors (i.e. gauge potentials) on 4-dimensional de Sitter spacetime ($dS_{4}$). The corresponding symmetry transformations are generated by the five closed conformal Killing vectors of $dS_{4}$, but they are not conventional conformal transformations. We show that the algebra generated by the ten de Sitter (dS) symmetries and the five conformal-like symmetries closes on the conformal-like algebra $so(4,2)$ up to gauge transformations of the gauge potentials. The transformations of the gauge-invariant field strength tensor-spinors under the conformal-like symmetries are given by the product of $\gamma^{5}$ times a usual infinitesimal conformal transformation of the field strengths. Furthermore, we demonstrate that the two sets of physical mode solutions, corresponding to the two helicities $\pm s$ of the strictly massless theories, form a direct sum of Unitary Irreducible Representations (UIRs) of the conformal-like algebra. We also fill a gap in the literature by explaining how these physical modes form a direct sum of Discrete Series UIRs of the dS algebra $so(4,1)$. |
hep-th/0504073 | Larus Thorlacius | Andrei V. Frolov, Kristjan R. Kristjansson and Larus Thorlacius | Semi-classical geometry of charged black holes | REVTeX, 4 pages, 2 figures; references added | Phys.Rev. D72 (2005) 021501 | 10.1103/PhysRevD.72.021501 | SU-ITP-05-14 | hep-th gr-qc | null | At the classical level, two-dimensional dilaton gravity coupled to an abelian
gauge field has charged black hole solutions, which have much in common with
four-dimensional Reissner-Nordstrom black holes, including multiple asymptotic
regions, timelike curvature singularities, and Cauchy horizons. The black hole
spacetime is, however, significantly modified by quantum effects, which can be
systematically studied in this two-dimensional context. In particular, the
back-reaction on the geometry due to pair-creation of charged fermions
destabilizes the inner horizon and replaces it with a spacelike curvature
singularity. The semi-classical geometry has the same global topology as an
electrically neutral black hole.
| [
{
"created": "Fri, 8 Apr 2005 05:23:33 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Apr 2005 03:57:58 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Apr 2005 21:57:09 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Apr 2006 15:37:39 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Frolov",
"Andrei V.",
""
],
[
"Kristjansson",
"Kristjan R.",
""
],
[
"Thorlacius",
"Larus",
""
]
] | At the classical level, two-dimensional dilaton gravity coupled to an abelian gauge field has charged black hole solutions, which have much in common with four-dimensional Reissner-Nordstrom black holes, including multiple asymptotic regions, timelike curvature singularities, and Cauchy horizons. The black hole spacetime is, however, significantly modified by quantum effects, which can be systematically studied in this two-dimensional context. In particular, the back-reaction on the geometry due to pair-creation of charged fermions destabilizes the inner horizon and replaces it with a spacelike curvature singularity. The semi-classical geometry has the same global topology as an electrically neutral black hole. |
hep-th/0202171 | Swarnendu Sarkar | Swarnendu Sarkar | On the UV renormalizability of noncommutative field theories | 29 pages, 8 figures, uses JHEP.cls, references added | JHEP 0206 (2002) 003 | 10.1088/1126-6708/2002/06/003 | IMSC/2002/02/04 | hep-th | null | UV/IR mixing is one of the most important features of noncommutative field
theories. As a consequence of this coupling of the UV and IR sectors, the
configuration of fields at the zero momentum limit in these theories is a very
singular configuration. We show that the renormalization conditions set at a
particular momentum configuration with a fixed number of zero momenta,
renormalizes the Green's functions for any general momenta only when this
configuration has same set of zero momenta. Therefore only when renormalization
conditions are set at a point where all the external momenta are nonzero, the
quantum theory is renormalizable for all values of nonzero momentum. This
arises as a result of different scaling behaviors of Green's functions with
respect to the UV cutoff ($\Lambda$) for configurations containing different
set of zero momenta. We study this in the noncommutative $\phi^4$ theory and
analyse similar results for the Gross-Neveu model at one loop level. We next
show this general feature using Wilsonian RG of Polchinski in the globally O(N)
symmetric scalar theory and prove the renormalizability of the theory to all
orders with an infrared cutoff. In the context of spontaneous symmetry breaking
(SSB) in noncommutative scalar theory, it is essential to note the different
scaling behaviors of Green's functions with respect to $\Lambda$ for different
set of zero momenta configurations. We show that in the broken phase of the
theory the Ward identities are satisfied to all orders only when one keeps an
infrared regulator by shifting to a nonconstant vacuum.
| [
{
"created": "Mon, 25 Feb 2002 16:26:38 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2002 18:28:42 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Sarkar",
"Swarnendu",
""
]
] | UV/IR mixing is one of the most important features of noncommutative field theories. As a consequence of this coupling of the UV and IR sectors, the configuration of fields at the zero momentum limit in these theories is a very singular configuration. We show that the renormalization conditions set at a particular momentum configuration with a fixed number of zero momenta, renormalizes the Green's functions for any general momenta only when this configuration has same set of zero momenta. Therefore only when renormalization conditions are set at a point where all the external momenta are nonzero, the quantum theory is renormalizable for all values of nonzero momentum. This arises as a result of different scaling behaviors of Green's functions with respect to the UV cutoff ($\Lambda$) for configurations containing different set of zero momenta. We study this in the noncommutative $\phi^4$ theory and analyse similar results for the Gross-Neveu model at one loop level. We next show this general feature using Wilsonian RG of Polchinski in the globally O(N) symmetric scalar theory and prove the renormalizability of the theory to all orders with an infrared cutoff. In the context of spontaneous symmetry breaking (SSB) in noncommutative scalar theory, it is essential to note the different scaling behaviors of Green's functions with respect to $\Lambda$ for different set of zero momenta configurations. We show that in the broken phase of the theory the Ward identities are satisfied to all orders only when one keeps an infrared regulator by shifting to a nonconstant vacuum. |
hep-th/0701245 | Nevena Ilieva | Nevena Ilieva and Walter Thirring | High-$T_c$ superconductivity by phase cloning | 11 pages, 5 figures v3: section 2 edited | null | null | CERN-PH-TH/2006-260; ESI-1880(2006) | hep-th cond-mat.supr-con | null | We consider a BCS-type model in the spin formalism and argue that the
structure of the interaction provides a mechanism for control over directions
of the spin $\vect S$ other than $S_z$, which is being controlled via the
conventional chemical potential. We also find the conditions for the appearance
of a high-$T_c$ superconducting phase.
| [
{
"created": "Fri, 26 Jan 2007 15:40:34 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2007 15:07:51 GMT",
"version": "v2"
},
{
"created": "Tue, 29 May 2007 09:14:11 GMT",
"version": "v3"
}
] | 2007-06-13 | [
[
"Ilieva",
"Nevena",
""
],
[
"Thirring",
"Walter",
""
]
] | We consider a BCS-type model in the spin formalism and argue that the structure of the interaction provides a mechanism for control over directions of the spin $\vect S$ other than $S_z$, which is being controlled via the conventional chemical potential. We also find the conditions for the appearance of a high-$T_c$ superconducting phase. |
2003.05455 | Anthony Ashmore | Anthony Ashmore, Sebastian Dumitru, Burt A. Ovrut | Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard
Models | v4: typos and improved discussion of non-vanishing FI term; v3: typos
and references added; v2: Major revision and new material added; 76 pages, 15
figures | null | 10.1002/prop.202100052 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The compactification from the eleven-dimensional Ho\v{r}ava-Witten orbifold
to five-dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is
reviewed, as is the specific $SU(4)$ vector bundle leading to the "heterotic
standard model" in the observable sector. Within the context of strongly
coupled heterotic M-theory, a formalism for consistent hidden-sector bundles
associated with a single line bundle is presented, and a specific line bundle
is introduced as a concrete example. Anomaly cancellation and the associated
bulk space five-branes are discussed in this context, as is the constraint that
the hidden sector bundle be compatible with the slope-stability requirements of
the observable sector $SU(4)$ gauge bundle. The further compactification to a
four-dimensional effective theory on a linearized BPS double domain wall is
then presented to order $\kappa_{11}^{4/3}$. Specifically, the generic
constraints required for anomaly cancellation and the restrictions imposed by
positive squared gauge couplings to order $\kappa_{11}^{4/3}$ are presented in
detail. Three additional constraints are imposed, one guaranteeing that the
$S^{1}/{\mathbb{Z}}_{2}$ orbifold length is sufficiently larger than the
average Calabi-Yau radius, and two enforcing that the hidden sector be
compatible with both the unification mass scale and unified gauge coupling of
the $SO(10)$ group in the observable sector. Finally, the expression for the
Fayet-Iliopoulos term associated with an anomalous $U(1)$ symmetry is presented
and its role in $N=1$ supersymmetry in the low-energy effective theory is
discussed. It is shown that $N=1$ supersymmetry can be preserved by cancelling
the tree-level and genus-one contributions against each another.
| [
{
"created": "Wed, 11 Mar 2020 18:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Sep 2020 22:46:46 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Dec 2020 21:15:57 GMT",
"version": "v3"
},
{
"created": "Tue, 16 Mar 2021 03:30:55 GMT",
"version": "v4"
}
] | 2021-05-27 | [
[
"Ashmore",
"Anthony",
""
],
[
"Dumitru",
"Sebastian",
""
],
[
"Ovrut",
"Burt A.",
""
]
] | The compactification from the eleven-dimensional Ho\v{r}ava-Witten orbifold to five-dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is reviewed, as is the specific $SU(4)$ vector bundle leading to the "heterotic standard model" in the observable sector. Within the context of strongly coupled heterotic M-theory, a formalism for consistent hidden-sector bundles associated with a single line bundle is presented, and a specific line bundle is introduced as a concrete example. Anomaly cancellation and the associated bulk space five-branes are discussed in this context, as is the constraint that the hidden sector bundle be compatible with the slope-stability requirements of the observable sector $SU(4)$ gauge bundle. The further compactification to a four-dimensional effective theory on a linearized BPS double domain wall is then presented to order $\kappa_{11}^{4/3}$. Specifically, the generic constraints required for anomaly cancellation and the restrictions imposed by positive squared gauge couplings to order $\kappa_{11}^{4/3}$ are presented in detail. Three additional constraints are imposed, one guaranteeing that the $S^{1}/{\mathbb{Z}}_{2}$ orbifold length is sufficiently larger than the average Calabi-Yau radius, and two enforcing that the hidden sector be compatible with both the unification mass scale and unified gauge coupling of the $SO(10)$ group in the observable sector. Finally, the expression for the Fayet-Iliopoulos term associated with an anomalous $U(1)$ symmetry is presented and its role in $N=1$ supersymmetry in the low-energy effective theory is discussed. It is shown that $N=1$ supersymmetry can be preserved by cancelling the tree-level and genus-one contributions against each another. |
1809.03503 | Anthony Ashmore | Anthony Ashmore | Marginal deformations of 3d $\mathcal{N}=2$ CFTs from AdS$_4$
backgrounds in generalised geometry | 37 pages; references added in v3 | null | 10.1007/JHEP12(2018)060 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study exactly marginal deformations of 3d $\mathcal{N}=2$ CFTs dual to
AdS$_4$ solutions in eleven-dimensional supergravity using generalised
geometry. Focussing on Sasaki-Einstein backgrounds, we find that marginal
deformations correspond to turning on a four-form flux on the internal space at
first order. Viewing this as the deformation of a generalised structure, we
derive a general expression for the four-form flux in terms of a holomorphic
function. We discuss the explicit examples of S$^7$, Q$^{1,1,1}$ and
M$^{1,1,1}$ and, using an obstruction analysis, find the conditions for the
first-order deformations to extend all orders, thus identifying which marginal
deformations are exactly marginal. We also show how the all-orders
$\gamma$-deformation of Lunin and Maldacena can be encoded as a tri-vector
deformation in generalised geometry and outline how to recover the supergravity
solution from the generalised metric.
| [
{
"created": "Mon, 10 Sep 2018 18:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Oct 2018 10:56:41 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Dec 2018 11:57:38 GMT",
"version": "v3"
}
] | 2018-12-26 | [
[
"Ashmore",
"Anthony",
""
]
] | We study exactly marginal deformations of 3d $\mathcal{N}=2$ CFTs dual to AdS$_4$ solutions in eleven-dimensional supergravity using generalised geometry. Focussing on Sasaki-Einstein backgrounds, we find that marginal deformations correspond to turning on a four-form flux on the internal space at first order. Viewing this as the deformation of a generalised structure, we derive a general expression for the four-form flux in terms of a holomorphic function. We discuss the explicit examples of S$^7$, Q$^{1,1,1}$ and M$^{1,1,1}$ and, using an obstruction analysis, find the conditions for the first-order deformations to extend all orders, thus identifying which marginal deformations are exactly marginal. We also show how the all-orders $\gamma$-deformation of Lunin and Maldacena can be encoded as a tri-vector deformation in generalised geometry and outline how to recover the supergravity solution from the generalised metric. |
hep-th/9710167 | Vladimir Meshcheryakov | Meshcheryakov V.A | The Riemann Surface of a Static Dispersion Model and Regge Trajectories | 5 pages, LaTex | Phys.Atom.Nucl.63:666-667,2000; Yad.Fiz.63:732-733,2000 | 10.1134/1.855685 | null | hep-th | null | The S-matrix in the static limit of a dispersion relation is a matrix of a
finite order N of meromorphic functions of energy $\omega$ in the plane with
cuts $(-\infty,-1],[+1,+\infty)$. In the elastic case it reduces to N functions
$S_{i}(\omega)$ connected by the crossing symmetry matrix A. The scattering of
a neutral pseodoscalar meson with an arbitrary angular momentum l at a source
with spin 1/2 is considered (N=2). The Regge trajectories of this model are
explicitly found.
| [
{
"created": "Tue, 21 Oct 1997 14:27:34 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"A",
"Meshcheryakov V.",
""
]
] | The S-matrix in the static limit of a dispersion relation is a matrix of a finite order N of meromorphic functions of energy $\omega$ in the plane with cuts $(-\infty,-1],[+1,+\infty)$. In the elastic case it reduces to N functions $S_{i}(\omega)$ connected by the crossing symmetry matrix A. The scattering of a neutral pseodoscalar meson with an arbitrary angular momentum l at a source with spin 1/2 is considered (N=2). The Regge trajectories of this model are explicitly found. |
1310.3736 | Sylvain Carrozza | Sylvain Carrozza | Tensorial methods and renormalization in Group Field Theories | PhD thesis, 229 pages, many figures. Partly based on arXiv:1104.5158,
arXiv:1203.5082, arXiv:1207.6734 and arXiv:1303.6772 | null | 10.1007/978-3-319-05867-2 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis, we study the structure of Group Field Theories (GFTs) from
the point of view of renormalization theory. Such quantum field theories are
found in approaches to quantum gravity related to Loop Quantum Gravity (LQG) on
the one hand, and to matrix models and tensor models on the other hand. They
model quantum space-time, in the sense that their Feynman amplitudes label
triangulations, which can be understood as transition amplitudes between LQG
spin network states. The question of renormalizability is crucial if one wants
to establish interesting GFTs as well-defined (perturbative) quantum field
theories, and in a second step connect them to known infrared gravitational
physics. Relying on recently developed tensorial tools, this thesis explores
the GFT formalism in two complementary directions. First, new results on the
large cut-off expansion of the colored Boulatov-Ooguri models allow to explore
further a non-perturbative regime in which infinitely many degrees of freedom
contribute. The second set of results provide a new rigorous framework for the
renormalization of so-called Tensorial GFTs (TGFTs) with gauge invariance
condition. In particular, a non-trivial 3d TGFT with gauge group SU(2) is
proven just-renormalizable at the perturbative level, hence opening the way to
applications of the formalism to (3d Euclidean) quantum gravity.
| [
{
"created": "Mon, 14 Oct 2013 16:16:06 GMT",
"version": "v1"
}
] | 2014-07-22 | [
[
"Carrozza",
"Sylvain",
""
]
] | In this thesis, we study the structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related to Loop Quantum Gravity (LQG) on the one hand, and to matrix models and tensor models on the other hand. They model quantum space-time, in the sense that their Feynman amplitudes label triangulations, which can be understood as transition amplitudes between LQG spin network states. The question of renormalizability is crucial if one wants to establish interesting GFTs as well-defined (perturbative) quantum field theories, and in a second step connect them to known infrared gravitational physics. Relying on recently developed tensorial tools, this thesis explores the GFT formalism in two complementary directions. First, new results on the large cut-off expansion of the colored Boulatov-Ooguri models allow to explore further a non-perturbative regime in which infinitely many degrees of freedom contribute. The second set of results provide a new rigorous framework for the renormalization of so-called Tensorial GFTs (TGFTs) with gauge invariance condition. In particular, a non-trivial 3d TGFT with gauge group SU(2) is proven just-renormalizable at the perturbative level, hence opening the way to applications of the formalism to (3d Euclidean) quantum gravity. |
2304.02271 | Alexander S\"oderberg Rousu | Alexander S\"oderberg Rousu | The discontinuity method in a BCFT | 18 pages, 1 figure | null | null | UUITP-04/23 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a conformal field theory in the presence of a boundary, and
explain how two-point correlators of mixed bulk-local operators can be
bootstrapped by exploiting the analytical structure of the conformal blocks.
This yields the operator product expansion coefficients in either bootstrap
channel. We apply this bootstrap technique to an $O(N)$-model in $d = 4 -
\epsilon$ dimensions to find the $\phi - \phi^5$ bulk correlator and the
corresponding operator product expansion coefficients upto
$\mathcal{O}(\epsilon)$.
Parts of this paper was first presented in my thesis.
| [
{
"created": "Wed, 5 Apr 2023 07:36:00 GMT",
"version": "v1"
}
] | 2023-04-06 | [
[
"Rousu",
"Alexander Söderberg",
""
]
] | We consider a conformal field theory in the presence of a boundary, and explain how two-point correlators of mixed bulk-local operators can be bootstrapped by exploiting the analytical structure of the conformal blocks. This yields the operator product expansion coefficients in either bootstrap channel. We apply this bootstrap technique to an $O(N)$-model in $d = 4 - \epsilon$ dimensions to find the $\phi - \phi^5$ bulk correlator and the corresponding operator product expansion coefficients upto $\mathcal{O}(\epsilon)$. Parts of this paper was first presented in my thesis. |
0803.0435 | Luciano Vanzo | Roberto Di Criscienzo, Luciano Vanzo | Fermion Tunneling from Dynamical Horizons | 8 pages, standard Latex document, few references added | Europhys.Lett.82:60001,2008 | 10.1209/0295-5075/82/60001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The instability against emission of fermionic particles by the trapping
horizon of an evolving black hole is analyzed using the Hamilton-Jacobi
tunneling method. This method automatically selects one special expression for
the surface gravity of a changing horizon. The results also apply to point
masses embedded in an expanding universe. As a bonus of the tunneling method,
we gain the insight that the surface gravity still defines a temperature
parameter as long as the evolution is sufficiently slow that the black hole
pass through a sequence of quasi-equilibrium states, and that black holes
should be semi-classically unstable even in a hypothetical world without
bosonic fields.
| [
{
"created": "Tue, 4 Mar 2008 13:27:09 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Mar 2008 14:06:46 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Di Criscienzo",
"Roberto",
""
],
[
"Vanzo",
"Luciano",
""
]
] | The instability against emission of fermionic particles by the trapping horizon of an evolving black hole is analyzed using the Hamilton-Jacobi tunneling method. This method automatically selects one special expression for the surface gravity of a changing horizon. The results also apply to point masses embedded in an expanding universe. As a bonus of the tunneling method, we gain the insight that the surface gravity still defines a temperature parameter as long as the evolution is sufficiently slow that the black hole pass through a sequence of quasi-equilibrium states, and that black holes should be semi-classically unstable even in a hypothetical world without bosonic fields. |
0810.0100 | Matteo Beccaria | Francesca Catino and Matteo Beccaria | On the large spin limit of twist operators in N=4 SYM | Contribution to the workshop "Nonlinear Physics. Theory and
experiment. V", Gallipoli, June 12-21, 2008 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The long range Bethe Ansatz solution of the mixing problem in N=4 SYM allows
to compute in a very efficient way multiloop anomalous dimensions of various
composite operators. In the case of sl(2) twist operators it is important to
obtain closed expressions for the anomalous dimensions in terms of the Lorentz
spin. Conjectures are available altough analytical proofs are missing beyond
one-loop. In this paper, we will present a method to expand at large spin the
solution of the long range Baxter equation in twist 2 and 3. We will also
propose sum rules for special singlet states at higher twist.
| [
{
"created": "Wed, 1 Oct 2008 08:06:28 GMT",
"version": "v1"
}
] | 2008-10-02 | [
[
"Catino",
"Francesca",
""
],
[
"Beccaria",
"Matteo",
""
]
] | The long range Bethe Ansatz solution of the mixing problem in N=4 SYM allows to compute in a very efficient way multiloop anomalous dimensions of various composite operators. In the case of sl(2) twist operators it is important to obtain closed expressions for the anomalous dimensions in terms of the Lorentz spin. Conjectures are available altough analytical proofs are missing beyond one-loop. In this paper, we will present a method to expand at large spin the solution of the long range Baxter equation in twist 2 and 3. We will also propose sum rules for special singlet states at higher twist. |
1109.1973 | Jerzy Kr\'ol | Torsten Asselmeyer-Maluga, Pawe{\l} Gusin, Jerzy Kr\'ol | The modification of the energy spectrum of charged particles by exotic
open 4-smoothness via superstring theory | 11 pages, Revtex4-1, will appear IJGMMP Vol. 50(1), 2013 | IJGMMP Vol. 10(1) 1250079, 2013 | 10.1142/S021988781250079X | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present a model where the modified Landau-like levels of
charged particles in a magnetic field are determined due to the modified
smoothness of $\mathbb{R}^{4}$ as underlying structure of the Minkowski
spacetime. Then the standard smoothness of $\mathbb{R}^{4}$ is shifted to the
exotic $\mathbb{R}_{k}^{4}$, $k=2p$, $p=1,2...$. This is achieved by
superstring theory using gravitational backreaction induced from a strong,
almost constant magnetic field on standard $\mathbb{R}^{4}$. The exact string
background containing flat $\mathbb{R}^{4}$ is replaced consistently by the
curved geometry of $SU(2)_{k}\times\mathbb{R}$ as part of the modified exact
backgrounds. This corresponds to the change of smoothness on $\mathbb{R}^{4}$
from the standard $\mathbb{R}^{4}$ to some exotic $\mathbb{R}_{k}^{4}$. The
calculations of the spectra are using the CFT marginal deformations and
Wess-Zumino-Witten (WZW) models. The marginal deformations capture the effects
of the magnetic field as well as its gravitational backreactions. The spectra
depend on even level $k$ of WZW on SU(2). At the same time the WZ term as
element of $H^{3}(SU(2),\mathbb{R})$ determines also the exotic smooth
$\mathbb{R}_{k}^{4}$. As the consequence we obtain a non-zero mass-gap emerges
in the spectrum induced from the presence of an exotic $\mathbb{R}_{k}^{4}$.
| [
{
"created": "Fri, 9 Sep 2011 11:58:11 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jul 2012 19:54:23 GMT",
"version": "v2"
}
] | 2013-01-08 | [
[
"Asselmeyer-Maluga",
"Torsten",
""
],
[
"Gusin",
"Paweł",
""
],
[
"Król",
"Jerzy",
""
]
] | In this paper we present a model where the modified Landau-like levels of charged particles in a magnetic field are determined due to the modified smoothness of $\mathbb{R}^{4}$ as underlying structure of the Minkowski spacetime. Then the standard smoothness of $\mathbb{R}^{4}$ is shifted to the exotic $\mathbb{R}_{k}^{4}$, $k=2p$, $p=1,2...$. This is achieved by superstring theory using gravitational backreaction induced from a strong, almost constant magnetic field on standard $\mathbb{R}^{4}$. The exact string background containing flat $\mathbb{R}^{4}$ is replaced consistently by the curved geometry of $SU(2)_{k}\times\mathbb{R}$ as part of the modified exact backgrounds. This corresponds to the change of smoothness on $\mathbb{R}^{4}$ from the standard $\mathbb{R}^{4}$ to some exotic $\mathbb{R}_{k}^{4}$. The calculations of the spectra are using the CFT marginal deformations and Wess-Zumino-Witten (WZW) models. The marginal deformations capture the effects of the magnetic field as well as its gravitational backreactions. The spectra depend on even level $k$ of WZW on SU(2). At the same time the WZ term as element of $H^{3}(SU(2),\mathbb{R})$ determines also the exotic smooth $\mathbb{R}_{k}^{4}$. As the consequence we obtain a non-zero mass-gap emerges in the spectrum induced from the presence of an exotic $\mathbb{R}_{k}^{4}$. |
hep-th/0202085 | Bert Schroer | Bert Schroer (CBPF Rio de Janeiro) | The paradigm of the area law and the structure of transversal and
longitudinal lightfront degrees of freedom | 16 pages latex, identical to version published in JPA: Math. Gen. 35
(2002) 9165-9182 | J.Phys.A35:9165-9182,2002 | 10.1088/0305-4470/35/43/312 | JPA: Math. Gen. 35 (2002) 9165-9182 | hep-th gr-qc hep-ph math-ph math.MP quant-ph | null | It is shown that an algebraically defined holographic projection of a QFT
onto the lightfront changes the local quantum properties in a very drastic way.
The expected ubiquitous vacuum polarization characteristic of QFT is confined
to the lightray (longitudinal) direction, whereas operators whose localization
is transversely separated are completely free of vacuum correlations. This
unexpected ''transverse return to QM'' combined with the rather universal
nature of the strongly longitudinal correlated vacuum correlations (which turn
out to be described by rather kinematical chiral theories) leads to a d-2
dimensional area structure of the d-1 dimensional lightfront theory. An
additive transcription in terms of an appropriately defined entropy related to
the vacuum restricted to the horizon is proposed and its model independent
universality aspects which permit its interpretation as a quantum candidate for
Bekenstein's area law are discussed. The transverse tensor product foliation
structure of lightfront degrees of freedom is essential for the simplifying
aspects of the algebraic lightcone holography. Key-words: Quantum field theory;
Mathematical physics, Quantum gravity
| [
{
"created": "Thu, 14 Feb 2002 20:06:46 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Feb 2002 19:29:41 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Mar 2002 18:32:27 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Nov 2002 16:39:21 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Schroer",
"Bert",
"",
"CBPF Rio de Janeiro"
]
] | It is shown that an algebraically defined holographic projection of a QFT onto the lightfront changes the local quantum properties in a very drastic way. The expected ubiquitous vacuum polarization characteristic of QFT is confined to the lightray (longitudinal) direction, whereas operators whose localization is transversely separated are completely free of vacuum correlations. This unexpected ''transverse return to QM'' combined with the rather universal nature of the strongly longitudinal correlated vacuum correlations (which turn out to be described by rather kinematical chiral theories) leads to a d-2 dimensional area structure of the d-1 dimensional lightfront theory. An additive transcription in terms of an appropriately defined entropy related to the vacuum restricted to the horizon is proposed and its model independent universality aspects which permit its interpretation as a quantum candidate for Bekenstein's area law are discussed. The transverse tensor product foliation structure of lightfront degrees of freedom is essential for the simplifying aspects of the algebraic lightcone holography. Key-words: Quantum field theory; Mathematical physics, Quantum gravity |
hep-th/0109148 | Pierre van Baal | Pierre van Baal | Reflections on Topology - Viewpoints on Abelian Projections | 9 p, 5 figs, talks presented at workshops in Cairns and Trento | Nucl.Phys.Proc.Suppl. 108 (2002) 3-11 | 10.1016/S0920-5632(02)01298-7 | INLO-PUB-04/01 | hep-th | null | This talk discusses two topological features in non-abelian gauge theories,
related by the notion of abelian projection and the Hopf invariant. Minimising
the energy of the non-linear sigma model with a Skyrme-like term (the
Faddeev-Niemi model), can be identified with a non-linear maximal abelian gauge
fixing of the SU(2) gauge vacua with a winding number equal to the Hopf
invariant. In the context of abelian projection the Hopf invariant can also be
associated to a monopole world line, through the Taubes winding, measuring its
contribution to topological charge. Calorons with non-trivial holonomy provide
an explicit realisation. We discuss the identification of its constituent
monopoles through degenerate eigenvalues of the Polyakov loop (the
singularities or defects of the abelian projection). It allows us to study the
correlation between the defect locations and the explicit constituent monopole
structure, through a specific SU(3) example.
| [
{
"created": "Wed, 19 Sep 2001 16:52:06 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"van Baal",
"Pierre",
""
]
] | This talk discusses two topological features in non-abelian gauge theories, related by the notion of abelian projection and the Hopf invariant. Minimising the energy of the non-linear sigma model with a Skyrme-like term (the Faddeev-Niemi model), can be identified with a non-linear maximal abelian gauge fixing of the SU(2) gauge vacua with a winding number equal to the Hopf invariant. In the context of abelian projection the Hopf invariant can also be associated to a monopole world line, through the Taubes winding, measuring its contribution to topological charge. Calorons with non-trivial holonomy provide an explicit realisation. We discuss the identification of its constituent monopoles through degenerate eigenvalues of the Polyakov loop (the singularities or defects of the abelian projection). It allows us to study the correlation between the defect locations and the explicit constituent monopole structure, through a specific SU(3) example. |
1303.3472 | ZhongYing Fan | ZhongYing Fan | Holographic Entanglement Entropy and Hidden Fermi surfaces | 17 pages, 4 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that the purely classical gravity dual of Fermi and non-Fermi
liquids exist by employing the logarithmic behavior of entanglement entropy to
probe Fermi surfaces. For isotropic systems, the logarithmic behavior
originates only from UV-IR intermediate regions of the minimal area surface.
For anisotropic systems, the surfaces' configuration becomes largely modified
by spatial anisotropy and series of solutions exist. By imposing the null
energy condition we show that the specific heat behaves as $C\propto T^\alpha$
where $\alpha\leq1$, in both systems. In the end, we also present an effective
gravity modle for anisotropic background.
| [
{
"created": "Thu, 14 Mar 2013 15:05:49 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Mar 2013 02:34:11 GMT",
"version": "v2"
},
{
"created": "Fri, 17 May 2013 10:43:49 GMT",
"version": "v3"
},
{
"created": "Tue, 11 Jun 2013 07:17:19 GMT",
"version": "v4"
},
{
"c... | 2013-07-05 | [
[
"Fan",
"ZhongYing",
""
]
] | We prove that the purely classical gravity dual of Fermi and non-Fermi liquids exist by employing the logarithmic behavior of entanglement entropy to probe Fermi surfaces. For isotropic systems, the logarithmic behavior originates only from UV-IR intermediate regions of the minimal area surface. For anisotropic systems, the surfaces' configuration becomes largely modified by spatial anisotropy and series of solutions exist. By imposing the null energy condition we show that the specific heat behaves as $C\propto T^\alpha$ where $\alpha\leq1$, in both systems. In the end, we also present an effective gravity modle for anisotropic background. |
1706.07856 | Vladimir Ivashchuk | V. D. Ivashchuk | On flux integrals for generalized Melvin solution related to simple
finite-dimensional Lie algebra | 10 pages, Latex, no figures, prepared for a talk at RUSGRAV-16
conference, 2nd revised version, several typos (mainly grammar ones) are
eliminated. arXiv admin note: text overlap with arXiv:1706.06621 | null | 10.1140/epjc/s10052-017-5235-5 | IGC-RUDN/17-06-04cor | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A generalized Melvin solution for an arbitrary simple finite-dimensional Lie
algebra $\cal G$ is considered. The solution contains a metric, $n$ Abelian
2-forms and $n$ scalar fields, where $n$ is the rank of $\cal G$. It is
governed by a set of $n$ moduli functions $H_s(z)$ obeying $n$ ordinary
differential equations with certain boundary conditions imposed. It was
conjectured earlier that these functions should be polynomials - the so-called
fluxbrane polynomials. These polynomials depend upon integration constants
$q_s$, $s = 1,\dots,n$. In the case when the conjecture on the polynomial
structure for the Lie algebra $\cal G$ is satisfied, it is proved that 2-form
flux integrals $\Phi^s$ over a proper $2d$ submanifold are finite and obey the
relations: $q_s \Phi^s = 4 \pi n_s h_s$, where $h_s > 0$ are certain constants
(related to dilatonic coupling vectors) and $n_s$ are powers of the
polynomials, which are components of a twice dual Weyl vector in the basis of
simple (co-)roots, $s = 1,\dots,n$. The main relations of the paper are valid
for a solution corresponding to a finite-dimensional semi-simple Lie algebra
$\cal G$. Examples of polynomials and fluxes for the Lie algebras $A_1$, $A_2$,
$A_3$, $C_2$, $G_2$ and $A_1 + A_1$ are presented.
| [
{
"created": "Fri, 23 Jun 2017 20:41:41 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Sep 2017 10:42:42 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Sep 2017 09:28:37 GMT",
"version": "v3"
}
] | 2017-10-25 | [
[
"Ivashchuk",
"V. D.",
""
]
] | A generalized Melvin solution for an arbitrary simple finite-dimensional Lie algebra $\cal G$ is considered. The solution contains a metric, $n$ Abelian 2-forms and $n$ scalar fields, where $n$ is the rank of $\cal G$. It is governed by a set of $n$ moduli functions $H_s(z)$ obeying $n$ ordinary differential equations with certain boundary conditions imposed. It was conjectured earlier that these functions should be polynomials - the so-called fluxbrane polynomials. These polynomials depend upon integration constants $q_s$, $s = 1,\dots,n$. In the case when the conjecture on the polynomial structure for the Lie algebra $\cal G$ is satisfied, it is proved that 2-form flux integrals $\Phi^s$ over a proper $2d$ submanifold are finite and obey the relations: $q_s \Phi^s = 4 \pi n_s h_s$, where $h_s > 0$ are certain constants (related to dilatonic coupling vectors) and $n_s$ are powers of the polynomials, which are components of a twice dual Weyl vector in the basis of simple (co-)roots, $s = 1,\dots,n$. The main relations of the paper are valid for a solution corresponding to a finite-dimensional semi-simple Lie algebra $\cal G$. Examples of polynomials and fluxes for the Lie algebras $A_1$, $A_2$, $A_3$, $C_2$, $G_2$ and $A_1 + A_1$ are presented. |
1812.05479 | Behnam Pourhassan | J. Sadeghi, B. Pourhassan, M. Rostami, Z. Nekouee | Kiselev/CFT correspondence and black hole thermodynamics | 17 pages, References added in the new version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the thermodynamic properties of Kiselev black hole
and its holographic dual. We obtain the thermodynamic product formula for the
Kiselev black hole. We consider Kiselev Black hole surrounded by both dust and
radiation. We find that the area (or entropy) product formula for both cases is
mass-independent as well as the case in the Einstein gravity, which interpreted
as universal quantity. Moreover, we calculate the black hole entropy bound for
both the inner and outer horizons. Furthermore, we show that the central
charges of the left and right moving sectors are not the same via universal
thermodynamic relations. Such universal relations lead us to calculate the
central charge of conformal field theory (CFT). Finally, we see that the left
and right of central charge of CFT are same.
| [
{
"created": "Wed, 12 Dec 2018 08:18:08 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jan 2019 07:08:44 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Feb 2019 09:05:13 GMT",
"version": "v3"
},
{
"created": "Wed, 11 Sep 2019 10:18:05 GMT",
"version": "v4"
},
{
"cr... | 2021-10-13 | [
[
"Sadeghi",
"J.",
""
],
[
"Pourhassan",
"B.",
""
],
[
"Rostami",
"M.",
""
],
[
"Nekouee",
"Z.",
""
]
] | In this paper, we study the thermodynamic properties of Kiselev black hole and its holographic dual. We obtain the thermodynamic product formula for the Kiselev black hole. We consider Kiselev Black hole surrounded by both dust and radiation. We find that the area (or entropy) product formula for both cases is mass-independent as well as the case in the Einstein gravity, which interpreted as universal quantity. Moreover, we calculate the black hole entropy bound for both the inner and outer horizons. Furthermore, we show that the central charges of the left and right moving sectors are not the same via universal thermodynamic relations. Such universal relations lead us to calculate the central charge of conformal field theory (CFT). Finally, we see that the left and right of central charge of CFT are same. |
hep-th/9606006 | Andrew Toon | Andrew Toon (Singapore Institute of Management, OUDP, Math Dept.) | Topology, Quantum Gravity and Particle Physics | 18 pages, LaTeX. Replaced version corrects typos and has additional
references | Class.Quant.Grav. 14 (1997) 915-927 | 10.1088/0264-9381/14/4/009 | null | hep-th | null | It is argued that quantum gravity has an interpretation as a topological
field theory provided a certain constraint from the path intergral measure is
respected. The constraint forces us to couple gauge and matter fields to
gravity for space - time dimensions different from 3. We then discuss possible
models which may be relevant to our universe.
| [
{
"created": "Mon, 3 Jun 1996 15:28:49 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 1996 14:42:05 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Toon",
"Andrew",
"",
"Singapore Institute of Management, OUDP, Math Dept."
]
] | It is argued that quantum gravity has an interpretation as a topological field theory provided a certain constraint from the path intergral measure is respected. The constraint forces us to couple gauge and matter fields to gravity for space - time dimensions different from 3. We then discuss possible models which may be relevant to our universe. |
1604.03484 | Jorge Russo | Jorge G. Russo | D branes in background fluxes and Nielsen-Olesen instabilities | 14 pages. (V3 comments and references added.) | null | 10.1007/JHEP06(2016)021 | ICCUB-16-014 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In quantum field theory, charged particles with spin $\geq 1$ may become
tachyonic in the present of magnetic fluxes above some critical field,
signaling an instability of the vacuum. The phenomenon is generic, in
particular, similar instabilities are known to exist in open and closed string
theory, where a spinning string state can become tachyonic above a critical
field. In compactifications involving RR fluxes $F_{p+2}$, the quantum states
which could become tachyonic by the same Nielsen-Olesen mechanism are Dp
branes. By constructing an appropriate background with RR magnetic flux that
takes into account back-reaction, we identify the possible tachyonic Dp brane
states and compute the formula for the energy spectrum in a sector. More
generally, we argue that in any background RR magnetic flux, there are high
spin Dp quantum states which become very light at critical fields.
| [
{
"created": "Tue, 12 Apr 2016 17:09:55 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Apr 2016 09:41:09 GMT",
"version": "v2"
},
{
"created": "Tue, 31 May 2016 13:59:20 GMT",
"version": "v3"
}
] | 2016-06-29 | [
[
"Russo",
"Jorge G.",
""
]
] | In quantum field theory, charged particles with spin $\geq 1$ may become tachyonic in the present of magnetic fluxes above some critical field, signaling an instability of the vacuum. The phenomenon is generic, in particular, similar instabilities are known to exist in open and closed string theory, where a spinning string state can become tachyonic above a critical field. In compactifications involving RR fluxes $F_{p+2}$, the quantum states which could become tachyonic by the same Nielsen-Olesen mechanism are Dp branes. By constructing an appropriate background with RR magnetic flux that takes into account back-reaction, we identify the possible tachyonic Dp brane states and compute the formula for the energy spectrum in a sector. More generally, we argue that in any background RR magnetic flux, there are high spin Dp quantum states which become very light at critical fields. |
1806.11327 | Sumanta Chakraborty | Indrani Banerjee, Sumanta Chakraborty and Soumitra SenGupta | Radion induced inflation on non-flat brane and modulus stabilization | v2, published version, 26 pages, 4 figures | Phys. Rev. D 99, 023515 (2019) | 10.1103/PhysRevD.99.023515 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Warped braneworld models has the potential to provide a plausible resolution
to the gauge hierarchy problem but at the cost of introduction of an additional
field, namely the inter-brane separation or, the radion field. Providing an
appropriate stabilization scheme for the radion field has long been sought for.
In this work, we discuss dynamical stabilization of the radion field in the
context of early universe cosmology. We show that by allowing the branes to be
\emph{non-flat} and \emph{dynamical} a radion potential is naturally generated
which can trigger the inflationary phase of the early universe. Interestingly,
the kinetic term of the radion during the inflationary epoch exhibits a
phantom-like behavior and the dynamical evolution of the radion field to its
stable value marks the exit from the phantom phase as well as the inflationary
era simultaneously. We show that the amalgamation and synergy of the radion
potential along with its kinetic term can not only trigger the inflationary
scenario but also provide a successful exit from the same while maintaining
concordance with current observation.
| [
{
"created": "Fri, 29 Jun 2018 09:56:18 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jan 2019 05:38:30 GMT",
"version": "v2"
}
] | 2019-01-23 | [
[
"Banerjee",
"Indrani",
""
],
[
"Chakraborty",
"Sumanta",
""
],
[
"SenGupta",
"Soumitra",
""
]
] | Warped braneworld models has the potential to provide a plausible resolution to the gauge hierarchy problem but at the cost of introduction of an additional field, namely the inter-brane separation or, the radion field. Providing an appropriate stabilization scheme for the radion field has long been sought for. In this work, we discuss dynamical stabilization of the radion field in the context of early universe cosmology. We show that by allowing the branes to be \emph{non-flat} and \emph{dynamical} a radion potential is naturally generated which can trigger the inflationary phase of the early universe. Interestingly, the kinetic term of the radion during the inflationary epoch exhibits a phantom-like behavior and the dynamical evolution of the radion field to its stable value marks the exit from the phantom phase as well as the inflationary era simultaneously. We show that the amalgamation and synergy of the radion potential along with its kinetic term can not only trigger the inflationary scenario but also provide a successful exit from the same while maintaining concordance with current observation. |
1202.1678 | Stefan Fredenhagen | Nicolas Behr and Stefan Fredenhagen | Variable transformation defects | 9 pages, 2 figures, contribution to the proceedings of String-Math
2011; v2: reference added | Symposia in Pure Mathematics 85 (2012) 303 | null | AEI-2012-012 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate defects between supersymmetric Landau-Ginzburg models whose
superpotentials are related by a variable transformation. It turns out that
there is one natural defect, which can then be used to relate boundary
conditions and defects in the different models. In particular this defect can
be used to relate Grassmannian Kazama-Suzuki models and minimal models, and one
can generate rational boundary conditions in the Kazama-Suzuki models from
those in minimal models. The defects that appear here are closely related to
the defects that are used in Khovanov-Rozansky link homology.
| [
{
"created": "Wed, 8 Feb 2012 12:44:53 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2012 16:18:34 GMT",
"version": "v2"
}
] | 2014-07-29 | [
[
"Behr",
"Nicolas",
""
],
[
"Fredenhagen",
"Stefan",
""
]
] | We investigate defects between supersymmetric Landau-Ginzburg models whose superpotentials are related by a variable transformation. It turns out that there is one natural defect, which can then be used to relate boundary conditions and defects in the different models. In particular this defect can be used to relate Grassmannian Kazama-Suzuki models and minimal models, and one can generate rational boundary conditions in the Kazama-Suzuki models from those in minimal models. The defects that appear here are closely related to the defects that are used in Khovanov-Rozansky link homology. |
hep-th/0301022 | Louise C. Martin | Louise C. Martin, Christian Schubert, Victor M. Villanueva Sandoval | On the low-energy limit of the QED N-photon amplitudes | 15 pages, LaTeX2e, typo in (4.2) corrected | Nucl.Phys. B668 (2003) 335-344 | 10.1016/S0550-3213(03)00578-9 | UMSNH-Phys/02-13 | hep-th hep-ph | null | We derive an explicit formula for the low energy limits of the one-loop,
on-shell, massive N-photon amplitudes, for arbitrary N and all helicity
assignments, in scalar and spinor QED. The two-loop corrections to the same
amplitudes are obtained for up to the ten point case. All photon amplitudes
with an odd number of `+' helicities are shown to vanish in this limit to all
loop orders.
| [
{
"created": "Mon, 6 Jan 2003 15:04:51 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2003 10:42:36 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Jan 2005 00:03:30 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Martin",
"Louise C.",
""
],
[
"Schubert",
"Christian",
""
],
[
"Sandoval",
"Victor M. Villanueva",
""
]
] | We derive an explicit formula for the low energy limits of the one-loop, on-shell, massive N-photon amplitudes, for arbitrary N and all helicity assignments, in scalar and spinor QED. The two-loop corrections to the same amplitudes are obtained for up to the ten point case. All photon amplitudes with an odd number of `+' helicities are shown to vanish in this limit to all loop orders. |
1101.2402 | Paul Sutcliffe | Paul Sutcliffe | Skyrmions in a truncated BPS theory | 12 pages, 1 figure | JHEP 1104, 045 (2011) | 10.1007/JHEP04(2011)045 | DCPT-11/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, it has been shown that (4+1)-dimensional Yang-Mills theory may be
written as a (3+1)-dimensional BPS Skyrme model, in which the Skyrme field is
coupled to an infinite tower of vector mesons. Truncating this tower to a
single vector meson yields an extension of the standard Skyrme model to a
theory of pions coupled to the rho meson, with the significant simplification
that no additional free parameters are introduced. The present paper is
concerned with this truncated theory and results are presented for Skyrmions
with baryon numbers one to four. The approach involves the use of an extended
version of the Atiyah-Manton construction, in which the Skyrme field is
approximated by the holonomy of a Yang-Mills instanton. It is found that the
coupling to the rho meson significantly reduces Skyrmion binding energies, to
produce an improved comparison with the experimental data on nuclei. A
truncation that includes both a vector and an axial vector meson is also
investigated, providing a model of pions, the rho meson and the a1 meson.
Binding energies are further reduced by the inclusion of this additional meson,
shifting the Skyrmion energies a little closer to those of nuclei. Fixing the
energy unit by equating the energy of the baryon number four Skyrmion to the
He-4 mass, yields masses for all lower baryon numbers that are within 20 MeV of
the experimental values, which is an error that is four times smaller than in
the standard Skyrme model.
| [
{
"created": "Wed, 12 Jan 2011 16:42:10 GMT",
"version": "v1"
}
] | 2015-05-27 | [
[
"Sutcliffe",
"Paul",
""
]
] | Recently, it has been shown that (4+1)-dimensional Yang-Mills theory may be written as a (3+1)-dimensional BPS Skyrme model, in which the Skyrme field is coupled to an infinite tower of vector mesons. Truncating this tower to a single vector meson yields an extension of the standard Skyrme model to a theory of pions coupled to the rho meson, with the significant simplification that no additional free parameters are introduced. The present paper is concerned with this truncated theory and results are presented for Skyrmions with baryon numbers one to four. The approach involves the use of an extended version of the Atiyah-Manton construction, in which the Skyrme field is approximated by the holonomy of a Yang-Mills instanton. It is found that the coupling to the rho meson significantly reduces Skyrmion binding energies, to produce an improved comparison with the experimental data on nuclei. A truncation that includes both a vector and an axial vector meson is also investigated, providing a model of pions, the rho meson and the a1 meson. Binding energies are further reduced by the inclusion of this additional meson, shifting the Skyrmion energies a little closer to those of nuclei. Fixing the energy unit by equating the energy of the baryon number four Skyrmion to the He-4 mass, yields masses for all lower baryon numbers that are within 20 MeV of the experimental values, which is an error that is four times smaller than in the standard Skyrme model. |
hep-th/9612079 | Zachary Guralnik | S. Garcia, G. Guralnik and Z. Guralnik | Theta Vacua and Boundary Conditions of the Schwinger Dyson Equations | 32 pages, Latex, 3 figures | null | null | PUPT-1670, MIT-CTP-2582 | hep-th | null | Quantum field theories and Matrix models have a far richer solution set than
is normally considered, due to the many boundary conditions which must be set
to specify a solution of the Schwinger-Dyson equations. The complete set of
solutions of these equations is obtained by generalizing the path integral to
include sums over various inequivalent contours of integration in the complex
plane. We discuss the importance of these exotic solutions. While naively the
complex contours seem perverse, they are relevant to the study of theta vacua
and critical phenomena. Furthermore, it can be shown that within certain phases
of many theories, the physical vacuum does not correspond to an integration
over a real contour. We discuss the solution set for the special case of one
component zero dimensional scalar field theories, and make remarks about matrix
models and higher dimensional field theories that will be developed in more
detail elsewhere. Even the zero dimensional examples have much structure, and
show some analogues of phenomena which are usually attributed to the effects of
taking a thermodynamic limit.
| [
{
"created": "Sat, 7 Dec 1996 21:22:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Garcia",
"S.",
""
],
[
"Guralnik",
"G.",
""
],
[
"Guralnik",
"Z.",
""
]
] | Quantum field theories and Matrix models have a far richer solution set than is normally considered, due to the many boundary conditions which must be set to specify a solution of the Schwinger-Dyson equations. The complete set of solutions of these equations is obtained by generalizing the path integral to include sums over various inequivalent contours of integration in the complex plane. We discuss the importance of these exotic solutions. While naively the complex contours seem perverse, they are relevant to the study of theta vacua and critical phenomena. Furthermore, it can be shown that within certain phases of many theories, the physical vacuum does not correspond to an integration over a real contour. We discuss the solution set for the special case of one component zero dimensional scalar field theories, and make remarks about matrix models and higher dimensional field theories that will be developed in more detail elsewhere. Even the zero dimensional examples have much structure, and show some analogues of phenomena which are usually attributed to the effects of taking a thermodynamic limit. |
2211.03395 | Jason Kristiano | Jason Kristiano and Jun'ichi Yokoyama | Constraining Primordial Black Hole Formation from Single-Field Inflation | Accepted Physical Review Letters | Phys. Rev. Lett. 132, 221003 (2024) | 10.1103/PhysRevLett.132.221003 | RESCEU-20/22 | hep-th astro-ph.CO | http://creativecommons.org/licenses/by/4.0/ | The most widely studied formation mechanism of a primordial black hole is
collapse of large-amplitude perturbation on small scales generated in
single-field inflation. In this Letter, we calculate one-loop correction to the
large-scale power spectrum in a model with sharp transition of the second
slow-roll parameter. We find that models producing an appreciable amount of
primordial black holes induce nonperturbative coupling on a large scale probed
by cosmic microwave background radiation. Our result implies that a small-scale
power spectrum can be constrained by large-scale cosmological observations.
| [
{
"created": "Mon, 7 Nov 2022 09:54:31 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Aug 2023 12:47:40 GMT",
"version": "v2"
},
{
"created": "Mon, 20 May 2024 16:31:41 GMT",
"version": "v3"
}
] | 2024-05-30 | [
[
"Kristiano",
"Jason",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] | The most widely studied formation mechanism of a primordial black hole is collapse of large-amplitude perturbation on small scales generated in single-field inflation. In this Letter, we calculate one-loop correction to the large-scale power spectrum in a model with sharp transition of the second slow-roll parameter. We find that models producing an appreciable amount of primordial black holes induce nonperturbative coupling on a large scale probed by cosmic microwave background radiation. Our result implies that a small-scale power spectrum can be constrained by large-scale cosmological observations. |
hep-th/0104261 | Wojtek Zakrzewski | P.C. Stichel, W.J. Zakrzewski | Possible confinement mechanisms for nonrelativistic particles on a line | null | Mod.Phys.Lett. A16 (2001) 1919 | 10.1142/S0217732301005278 | null | hep-th | null | The gauge model of nonrelativistic particles on a line interacting with
nonstandard gravitational fields [5] is supplemented by the addition of a
(non)-Abelian gauge interaction. Solving for the gauge fields we obtain
equations, in closed form, for a classical two particle system. The
corresponding Schr\"{o}dinger equation, obtained by the Moyal quantization
procedure, is solved analytically. Its solutions exhibit two different
confinement mechanisms - dependent on the sign of the coupling $\lambda$ to the
nonstandard gravitational fields. For $\lambda>0$ confinement is due to a
rising potential whereas for $\lambda<0$ it is due to to the dynamical
(geometric) bag formation. Numerical results for the corresponding energy
spectra are given. For a particular relation between two coupling constants the
model fits into the scheme of supersymmetrical quantum mechanics.
| [
{
"created": "Mon, 30 Apr 2001 15:56:15 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Stichel",
"P. C.",
""
],
[
"Zakrzewski",
"W. J.",
""
]
] | The gauge model of nonrelativistic particles on a line interacting with nonstandard gravitational fields [5] is supplemented by the addition of a (non)-Abelian gauge interaction. Solving for the gauge fields we obtain equations, in closed form, for a classical two particle system. The corresponding Schr\"{o}dinger equation, obtained by the Moyal quantization procedure, is solved analytically. Its solutions exhibit two different confinement mechanisms - dependent on the sign of the coupling $\lambda$ to the nonstandard gravitational fields. For $\lambda>0$ confinement is due to a rising potential whereas for $\lambda<0$ it is due to to the dynamical (geometric) bag formation. Numerical results for the corresponding energy spectra are given. For a particular relation between two coupling constants the model fits into the scheme of supersymmetrical quantum mechanics. |
hep-th/9808187 | Sergei Ketov | Sergei V. Ketov (ITP, University of Hannover) | Dynamical generation of gauge and Higgs bosons in N=2 supersymmetric
non-linear sigma-models | 43 pages, LaTeX, 3 figures, macros included | Nucl.Phys. B544 (1999) 181-217 | 10.1016/S0550-3213(99)00006-1 | DESY 98--109 and ITP-UH-18/98 | hep-th | null | A four-dimensional N=2 supersymmetric non-linear sigma-model with the
Eguchi-Hanson (ALE) target space and a non-vanishing central charge is
rewritten to a classically equivalent and formally renormalizable gauged
`linear' sigma-model over a non-compact coset space in N=2 harmonic superspace
by making use of an N=2 vector gauge superfield as the Lagrange multiplier. It
is then demonstrated that the N=2 vector gauge multiplet becomes dynamical
after taking into account one-loop corrections due to quantized
hypermultiplets. This implies the appearance of a composite gauge boson, a
composite chiral spinor doublet and a composite complex Higgs particle, all
defined as the physical states associated with the propagating N=2 vector gauge
superfield. The composite N=2 vector multiplet is further identified with the
zero modes of a superstring ending on a D-6-brane. Some non-perturbative
phenomena, such as the gauge symmetry enhancement for coincident D-6-branes and
the Maldacena conjecture, turn out to be closely related to our NLSM via
M-theory. Our results support a conjecture about the composite nature of
superstrings ending on D-branes.
| [
{
"created": "Mon, 31 Aug 1998 08:40:31 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ketov",
"Sergei V.",
"",
"ITP, University of Hannover"
]
] | A four-dimensional N=2 supersymmetric non-linear sigma-model with the Eguchi-Hanson (ALE) target space and a non-vanishing central charge is rewritten to a classically equivalent and formally renormalizable gauged `linear' sigma-model over a non-compact coset space in N=2 harmonic superspace by making use of an N=2 vector gauge superfield as the Lagrange multiplier. It is then demonstrated that the N=2 vector gauge multiplet becomes dynamical after taking into account one-loop corrections due to quantized hypermultiplets. This implies the appearance of a composite gauge boson, a composite chiral spinor doublet and a composite complex Higgs particle, all defined as the physical states associated with the propagating N=2 vector gauge superfield. The composite N=2 vector multiplet is further identified with the zero modes of a superstring ending on a D-6-brane. Some non-perturbative phenomena, such as the gauge symmetry enhancement for coincident D-6-branes and the Maldacena conjecture, turn out to be closely related to our NLSM via M-theory. Our results support a conjecture about the composite nature of superstrings ending on D-branes. |
1804.03242 | Junyu Liu | Ning Bao, Junyu Liu | Quantum complexity and the virial theorem | v2: add references and a footnote. v3: published version, with
concrete examples | JHEP 1808 (2018) 144 | 10.1007/JHEP08(2018)144 | CALT-TH-2018-016 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is conjectured that in the geometric formulation of quantum computing, one
can study quantum complexity through classical entropy of statistical ensembles
established non-relativistically in the group manifold of unitary operators.
The kinetic and positional decompositions of statistical entropy are
conjectured to correspond to the Kolmogorov complexity and computational
complexity, respectively, of corresponding quantum circuits. In this paper, we
claim that by applying the virial theorem to the group manifold, one can derive
a generic relation between Kolmogorov complexity and computational complexity
in the thermal equilibrium.
| [
{
"created": "Mon, 9 Apr 2018 21:20:38 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2018 22:50:20 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Aug 2018 19:33:10 GMT",
"version": "v3"
}
] | 2018-08-27 | [
[
"Bao",
"Ning",
""
],
[
"Liu",
"Junyu",
""
]
] | It is conjectured that in the geometric formulation of quantum computing, one can study quantum complexity through classical entropy of statistical ensembles established non-relativistically in the group manifold of unitary operators. The kinetic and positional decompositions of statistical entropy are conjectured to correspond to the Kolmogorov complexity and computational complexity, respectively, of corresponding quantum circuits. In this paper, we claim that by applying the virial theorem to the group manifold, one can derive a generic relation between Kolmogorov complexity and computational complexity in the thermal equilibrium. |
0808.3413 | Douglas A. Singleton | Valeria Akhmedova, Terry Pilling, Andrea de Gill, and Douglas
Singleton | Comments on anomaly versus WKB/tunneling methods for calculating Unruh
radiation | 13 pages, 0 figures, revtex4, To be published PLB. Critic of detailed
balance dropped and reference added which shows how detailed balance works if
one correctly takes into account the temporal piece. Discussion added about
temporal contribution giving P_abs=1 condition added showing why "complex
integration" constant is not needed | Phys.Lett.B673:227-231,2009 | 10.1016/j.physletb.2009.02.022 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Letter we make a critique of, and comparison between, the anomaly
method and WKB/tunneling method for obtaining radiation from non-trivial
spacetime backgrounds. We focus on Rindler spacetime (the spacetime of an
accelerating observer) and the associated Unruh radiation since this is the
prototype of the phenomena of radiation from a spacetime, and it is the
simplest model for making clear subtle points in the tunneling and anomaly
methods. Our analysis leads to the following conclusions: (i) neither the
consistent and covariant anomaly methods gives the correct Unruh temperature
for Rindler spacetime and in some cases (e.g. de Sitter spacetime) the
consistent and covariant methods disagree with one another; (ii) the tunneling
method can be applied in all cases, but it has a previously unnoticed temporal
contribution which must be accounted for in order to obtain the correct
temperature.
| [
{
"created": "Mon, 25 Aug 2008 22:22:54 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Sep 2008 21:27:36 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Feb 2009 10:29:04 GMT",
"version": "v3"
}
] | 2009-12-07 | [
[
"Akhmedova",
"Valeria",
""
],
[
"Pilling",
"Terry",
""
],
[
"de Gill",
"Andrea",
""
],
[
"Singleton",
"Douglas",
""
]
] | In this Letter we make a critique of, and comparison between, the anomaly method and WKB/tunneling method for obtaining radiation from non-trivial spacetime backgrounds. We focus on Rindler spacetime (the spacetime of an accelerating observer) and the associated Unruh radiation since this is the prototype of the phenomena of radiation from a spacetime, and it is the simplest model for making clear subtle points in the tunneling and anomaly methods. Our analysis leads to the following conclusions: (i) neither the consistent and covariant anomaly methods gives the correct Unruh temperature for Rindler spacetime and in some cases (e.g. de Sitter spacetime) the consistent and covariant methods disagree with one another; (ii) the tunneling method can be applied in all cases, but it has a previously unnoticed temporal contribution which must be accounted for in order to obtain the correct temperature. |
hep-th/0110158 | Christoph Schweigert | J. Fuchs, I. Runkel and C. Schweigert | Conformal boundary conditions and 3D topological field theory | 10 pages, 2 figures. Invited talk by C.S. at the NATO Advanced
Research Workshop on Statistical Field Theories, Como, June 2001 | null | null | PAR-LPTHE 01-51 | hep-th cond-mat.mes-hall | null | Topological field theory in three dimensions provides a powerful tool to
construct correlation functions and to describe boundary conditions in
two-dimensional conformal field theories.
| [
{
"created": "Wed, 17 Oct 2001 16:21:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fuchs",
"J.",
""
],
[
"Runkel",
"I.",
""
],
[
"Schweigert",
"C.",
""
]
] | Topological field theory in three dimensions provides a powerful tool to construct correlation functions and to describe boundary conditions in two-dimensional conformal field theories. |
1501.03817 | Christoph Adam | C. Adam, C. Naya, T. Romanczukiewicz, J. Sanchez-Guillen, A.
Wereszczynski | Topological phase transitions in the gauged BPS baby Skyrme model | Latex file, 16 pages, 13 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that the gauged BPS baby Skyrme model with a double vacuum
potential allows for phase transitions from a non-solitonic to a solitonic
phase, where the latter corresponds to a ferromagnetic liquid. Such a
transition can be generated by increasing the external pressure $P$ or by
turning on an external magnetic field $H$. As a consequence, the topological
phase where gauged BPS baby skyrmions exist, is a higher density phase. For
smaller densities, obtained for smaller values of $P$ and $H$, a phase without
solitons is reached. We find the critical line in the $P,H$ parameter space.
Furthermore, in the soliton phase, we find the equation of state for the baby
skyrmion matter $V=V(P,H)$ at zero temperature, where $V$ is the "volume",
i.e., area of the solitons.
| [
{
"created": "Thu, 15 Jan 2015 21:00:12 GMT",
"version": "v1"
}
] | 2015-01-19 | [
[
"Adam",
"C.",
""
],
[
"Naya",
"C.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | We demonstrate that the gauged BPS baby Skyrme model with a double vacuum potential allows for phase transitions from a non-solitonic to a solitonic phase, where the latter corresponds to a ferromagnetic liquid. Such a transition can be generated by increasing the external pressure $P$ or by turning on an external magnetic field $H$. As a consequence, the topological phase where gauged BPS baby skyrmions exist, is a higher density phase. For smaller densities, obtained for smaller values of $P$ and $H$, a phase without solitons is reached. We find the critical line in the $P,H$ parameter space. Furthermore, in the soliton phase, we find the equation of state for the baby skyrmion matter $V=V(P,H)$ at zero temperature, where $V$ is the "volume", i.e., area of the solitons. |
0902.4848 | Tomas Ortin | Mechthild Huebscher, Patrick Meessen, Tomas Ortin and Silvia Vaula | Supersymmetric non-Abelian black holes and monopoles in
Einstein-Yang-Mills sugras | Contribution to the proceedings of the 4th Workshop RTN
"Constituents, Fundamental Forces and Symmetries of the Universe" Varna
(Bulgaria) 11-17 September 2008, to be published in Fortschritte der Physik -
Progress of Physics. Latex2e, 8 pages, no figures | null | 10.1002/prop.200900022 | IFT-UAM/CSIC-09-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the construction of non-Abelian black holes and globally regular
monopole solutions to N=2, d=4 EYM theories. Special emphasis is put on how the
attractor mechanism works for the non-Abelian black holes.
| [
{
"created": "Fri, 27 Feb 2009 15:22:39 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Huebscher",
"Mechthild",
""
],
[
"Meessen",
"Patrick",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Vaula",
"Silvia",
""
]
] | We discuss the construction of non-Abelian black holes and globally regular monopole solutions to N=2, d=4 EYM theories. Special emphasis is put on how the attractor mechanism works for the non-Abelian black holes. |
2105.02258 | Dmitry Ageev | Dmitry S. Ageev | Butterfly velocity and chaos suppression in de Sitter space | v1: 9 pages, v2: 15 pages, 2 figures | null | null | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we study the holographic CFT in the de Sitter static patch at
finite temperature $T$ and chemical potential. We find that butterfly velocity
$v_B$ in such field theory degenerates for all values of the Hubble parameter
$H$ and $T$. We interpret this as a chaos disruption caused by the interplay
between the expansion of chaotic correlations constrained by $v_B$ and effects
caused by de Sitter curvature. The chemical potential restores healthy
butterfly velocity for some range of temperatures. Also, we provide some
analogy of this chaos suppression with the Schwinger effect in de Sitter and
black hole formation from shock wave collision.
| [
{
"created": "Wed, 5 May 2021 18:07:19 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 2021 10:30:31 GMT",
"version": "v2"
}
] | 2021-06-24 | [
[
"Ageev",
"Dmitry S.",
""
]
] | In this note, we study the holographic CFT in the de Sitter static patch at finite temperature $T$ and chemical potential. We find that butterfly velocity $v_B$ in such field theory degenerates for all values of the Hubble parameter $H$ and $T$. We interpret this as a chaos disruption caused by the interplay between the expansion of chaotic correlations constrained by $v_B$ and effects caused by de Sitter curvature. The chemical potential restores healthy butterfly velocity for some range of temperatures. Also, we provide some analogy of this chaos suppression with the Schwinger effect in de Sitter and black hole formation from shock wave collision. |
hep-th/9811183 | Yang-Hui Evariste He | Amihay Hanany and Yang-Hui He | Non-Abelian Finite Gauge Theories | 28 pages, 5 figs, 1 ref added, 1 table updated and some comments on
binary dihedral groups added | JHEP 9902 (1999) 013 | 10.1088/1126-6708/1999/02/013 | MIT-CTP-2803 | hep-th | null | We study orbifolds of ${\cal N} = 4$ U(n) super-Yang-Mills theory given by
discrete subgroups of SU(2) and SU(3). We have reached many interesting
observations that have graph-theoretic interpretations. For the subgroups of
SU(2), we have shown how the matter content agrees with current quiver theories
and have offered a possible explanation. In the case of SU(3) we have
constructed a catalogue of candidates for finite (chiral) ${\cal N}=1$
theories, giving the gauge group and matter content. Finally, we conjecture a
McKay-type correspondence for Gorenstein singularities in dimension 3 with
modular invariants of WZW conformal models. This implies a connection between a
class of finite ${\cal N}=1$ supersymmetric gauge theories in four dimensions
and the classification of affine SU(3) modular invariant partition functions in
two dimensions.
| [
{
"created": "Fri, 20 Nov 1998 06:06:08 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jan 1999 19:09:55 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Apr 1999 19:45:09 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Hanany",
"Amihay",
""
],
[
"He",
"Yang-Hui",
""
]
] | We study orbifolds of ${\cal N} = 4$ U(n) super-Yang-Mills theory given by discrete subgroups of SU(2) and SU(3). We have reached many interesting observations that have graph-theoretic interpretations. For the subgroups of SU(2), we have shown how the matter content agrees with current quiver theories and have offered a possible explanation. In the case of SU(3) we have constructed a catalogue of candidates for finite (chiral) ${\cal N}=1$ theories, giving the gauge group and matter content. Finally, we conjecture a McKay-type correspondence for Gorenstein singularities in dimension 3 with modular invariants of WZW conformal models. This implies a connection between a class of finite ${\cal N}=1$ supersymmetric gauge theories in four dimensions and the classification of affine SU(3) modular invariant partition functions in two dimensions. |
2212.03136 | Chethan Gowdigere | Arpit Das, Chethan N. Gowdigere and Sunil Mukhi | Meromorphic Cosets and the Classification of Three-Character CFT | 73 pages | null | 10.1007/JHEP03(2023)023 | null | hep-th math-ph math.MP math.QA math.RT | http://creativecommons.org/licenses/by/4.0/ | We investigate the admissible vector-valued modular forms having three
independent characters and vanishing Wronskian index and determine which ones
correspond to genuine 2d conformal field theories. This is done by finding
bilinear coset-type relations that pair them into meromorphic characters with
central charges 8, 16, 24, 32 and 40. Such pairings allow us to identify some
characters with definite CFTs and rule out others. As a key result we classify
all unitary three-character CFT with vanishing Wronskian index, excluding
$c=8,16$. The complete list has two infinite affine series $B_{r,1},D_{r,1}$
and 45 additional theories. As a by-product, at higher values of the total
central charge we also find constraints on the existence or otherwise of
meromorphic theories. We separately list several cases that potentially
correspond to Intermediate Vertex Operator Algebras.
| [
{
"created": "Tue, 6 Dec 2022 17:01:28 GMT",
"version": "v1"
}
] | 2023-08-04 | [
[
"Das",
"Arpit",
""
],
[
"Gowdigere",
"Chethan N.",
""
],
[
"Mukhi",
"Sunil",
""
]
] | We investigate the admissible vector-valued modular forms having three independent characters and vanishing Wronskian index and determine which ones correspond to genuine 2d conformal field theories. This is done by finding bilinear coset-type relations that pair them into meromorphic characters with central charges 8, 16, 24, 32 and 40. Such pairings allow us to identify some characters with definite CFTs and rule out others. As a key result we classify all unitary three-character CFT with vanishing Wronskian index, excluding $c=8,16$. The complete list has two infinite affine series $B_{r,1},D_{r,1}$ and 45 additional theories. As a by-product, at higher values of the total central charge we also find constraints on the existence or otherwise of meromorphic theories. We separately list several cases that potentially correspond to Intermediate Vertex Operator Algebras. |
0707.2302 | Timothy J. Hollowood | Timothy J. Hollowood and Graham M. Shore | Causality and Micro-Causality in Curved Spacetime | 16 pages, 11 figures, JHEP3, microcausality now shown to be respected
even when the Kramers-Kronig relation is violated | Phys.Lett.B655:67-74,2007 | 10.1016/j.physletb.2007.08.073 | null | hep-th gr-qc | null | We consider how causality and micro-causality are realised in QED in curved
spacetime. The photon propagator is found to exhibit novel non-analytic
behaviour due to vacuum polarization, which invalidates the Kramers-Kronig
dispersion relation and calls into question the validity of micro-causality in
curved spacetime. This non-analyticity is ultimately related to the generic
focusing nature of congruences of geodesics in curved spacetime, as implied by
the null energy condition, and the existence of conjugate points. These results
arise from a calculation of the complete non-perturbative frequency dependence
of the vacuum polarization tensor in QED, using novel world-line path integral
methods together with the Penrose plane-wave limit of spacetime in the
neighbourhood of a null geodesic. The refractive index of curved spacetime is
shown to exhibit superluminal phase velocities, dispersion, absorption (due to
\gamma \to e^+e^-) and bi-refringence, but we demonstrate that the wavefront
velocity (the high-frequency limit of the phase velocity) is indeed c, thereby
guaranteeing that causality itself is respected.
| [
{
"created": "Mon, 16 Jul 2007 11:13:48 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Sep 2007 13:38:27 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Shore",
"Graham M.",
""
]
] | We consider how causality and micro-causality are realised in QED in curved spacetime. The photon propagator is found to exhibit novel non-analytic behaviour due to vacuum polarization, which invalidates the Kramers-Kronig dispersion relation and calls into question the validity of micro-causality in curved spacetime. This non-analyticity is ultimately related to the generic focusing nature of congruences of geodesics in curved spacetime, as implied by the null energy condition, and the existence of conjugate points. These results arise from a calculation of the complete non-perturbative frequency dependence of the vacuum polarization tensor in QED, using novel world-line path integral methods together with the Penrose plane-wave limit of spacetime in the neighbourhood of a null geodesic. The refractive index of curved spacetime is shown to exhibit superluminal phase velocities, dispersion, absorption (due to \gamma \to e^+e^-) and bi-refringence, but we demonstrate that the wavefront velocity (the high-frequency limit of the phase velocity) is indeed c, thereby guaranteeing that causality itself is respected. |
1601.00057 | Robert Brandenberger | Stephon Alexander, Robert Brandenberger and Juerg Froehlich | Tracking Dark Energy from Axion-Gauge Field Couplings | 10 pages, 1 figure, improved presentation | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a toy model of Dark Energy in which the degrees of freedom
currently dominating the energy density of the universe are described by a
pseudo-scalar "axion field" linearly coupled to the Pontryagin density, $
\text{tr}(F \wedge F)$, i.e., the exterior derivative of the Chern-Simons form,
of a gauge field. We assume that the axion has self-interactions corresponding
to an exponential potential. We argue that a non-vanishing magnetic helicity of
the gauge field leads to slow-rolling of the axion at field values far below
the Planck scale. Our proposal suggests a "Tracking Dark Energy Scenario" in
which the contribution of the axion energy density to the total energy density
is constant (and small), during the early radiation phase, until a secular
growth term proportional to the Pontryagin density of the gauge field becomes
dominant. The initially small contribution of the axion field to the total
energy density is related to the observed small baryon-to-entropy ratio.
| [
{
"created": "Fri, 1 Jan 2016 08:19:22 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jan 2016 09:35:20 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Dec 2016 03:25:31 GMT",
"version": "v3"
}
] | 2016-12-13 | [
[
"Alexander",
"Stephon",
""
],
[
"Brandenberger",
"Robert",
""
],
[
"Froehlich",
"Juerg",
""
]
] | We propose a toy model of Dark Energy in which the degrees of freedom currently dominating the energy density of the universe are described by a pseudo-scalar "axion field" linearly coupled to the Pontryagin density, $ \text{tr}(F \wedge F)$, i.e., the exterior derivative of the Chern-Simons form, of a gauge field. We assume that the axion has self-interactions corresponding to an exponential potential. We argue that a non-vanishing magnetic helicity of the gauge field leads to slow-rolling of the axion at field values far below the Planck scale. Our proposal suggests a "Tracking Dark Energy Scenario" in which the contribution of the axion energy density to the total energy density is constant (and small), during the early radiation phase, until a secular growth term proportional to the Pontryagin density of the gauge field becomes dominant. The initially small contribution of the axion field to the total energy density is related to the observed small baryon-to-entropy ratio. |
hep-th/0008204 | Dongsu Bak | Dongsu Bak | Exact Solutions of Multi-Vortices and False Vacuum Bubbles in
Noncommutative Abelian-Higgs Theories | 7 pages, more general false vacuum bubble solutions added | Phys.Lett.B495:251-255,2000 | 10.1016/S0370-2693(00)01226-0 | UOSTP-00-106 | hep-th | null | We consider the noncommutative Abelian-Higgs theory and construct new types
of exact multi-vortex solutions that solve the static equations of motion. They
in general do not follow from the BPS equations; only for some specific values
of parameters, they satisfy the BPS equations saturating the Bogomol'nyi bound.
We further consider the Abelian-Higgs theory with more complicated scalar
potential allowing unstable minima and construct exact solutions of
noncommutative false vacuum bubble with integer magnetic flux. The classical
stability of the solutions is discussed.
| [
{
"created": "Mon, 28 Aug 2000 12:52:08 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2000 11:22:28 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Sep 2000 08:17:04 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Sep 2000 04:56:28 GMT",
"version": "v4"
}
] | 2011-05-05 | [
[
"Bak",
"Dongsu",
""
]
] | We consider the noncommutative Abelian-Higgs theory and construct new types of exact multi-vortex solutions that solve the static equations of motion. They in general do not follow from the BPS equations; only for some specific values of parameters, they satisfy the BPS equations saturating the Bogomol'nyi bound. We further consider the Abelian-Higgs theory with more complicated scalar potential allowing unstable minima and construct exact solutions of noncommutative false vacuum bubble with integer magnetic flux. The classical stability of the solutions is discussed. |
1805.03148 | Markku Oksanen | Masud Chaichian, Markku Oksanen, Anca Tureanu | Sakharov's induced gravity and the Poincar\'e gauge theory | 34 pages, Contribution to the Memorial Volume for Jacob Bekenstein | Jacob Bekenstein: The Conservative Revolutionary, World Scientific
Publishing, 2019, pp. 271-299 | 10.1142/9789811203961_0021 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore Sakharov's seminal idea that gravitational dynamics is induced by
the quantum corrections from the matter sector. This was the starting point of
the view that gravity has an emergent origin, which soon gained impetus due to
the advent of black hole thermodynamics. In the generalized framework of
Riemann--Cartan spacetime with both curvature and torsion, the induced
gravitational action is obtained for free nonminimally coupled scalar and Dirac
fields. For a realistic matter content, the induced Newton constant is obtained
to be of the magnitude of the ultraviolet cutoff, which implies that the cutoff
is of the order of the Planck mass. Finally, we conjecture that the action for
any gauge theory of gravity at low energies can be induced by Sakharov's
mechanism. This is explicitly shown by obtaining the Poincar\'e gauge theory of
gravity.
| [
{
"created": "Tue, 8 May 2018 16:37:41 GMT",
"version": "v1"
}
] | 2021-01-29 | [
[
"Chaichian",
"Masud",
""
],
[
"Oksanen",
"Markku",
""
],
[
"Tureanu",
"Anca",
""
]
] | We explore Sakharov's seminal idea that gravitational dynamics is induced by the quantum corrections from the matter sector. This was the starting point of the view that gravity has an emergent origin, which soon gained impetus due to the advent of black hole thermodynamics. In the generalized framework of Riemann--Cartan spacetime with both curvature and torsion, the induced gravitational action is obtained for free nonminimally coupled scalar and Dirac fields. For a realistic matter content, the induced Newton constant is obtained to be of the magnitude of the ultraviolet cutoff, which implies that the cutoff is of the order of the Planck mass. Finally, we conjecture that the action for any gauge theory of gravity at low energies can be induced by Sakharov's mechanism. This is explicitly shown by obtaining the Poincar\'e gauge theory of gravity. |
0901.3334 | Changrim Ahn | Changrim Ahn, Rafael I. Nepomechie | Two-loop test of the N=6 Chern-Simons theory S-matrix | 21 pages, no figure; references added | JHEP 0903:144,2009 | 10.1088/1126-6708/2009/03/144 | UMTG-262 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the integrable two-loop spin-chain Hamiltonian describing the
anomalous dimensions of scalar operators in the planar N=6 superconformal
Chern-Simons theory of ABJM, we perform a direct coordinate Bethe ansatz
computation of the corresponding two-loop S-matrix. The result matches with the
weak-coupling limit of the scalar sector of the all-loop S-matrix which we have
recently proposed. In particular, we confirm that the scattering of A and B
particles is reflectionless. As a warm up, we first review the analogous
computation of the one-loop S-matrix from the one-loop dilatation operator for
the scalar sector of planar N=4 superconformal Yang-Mills theory, and compare
the result with the all-loop SU(2|2)^{2} S-matrix.
| [
{
"created": "Wed, 21 Jan 2009 18:43:06 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 2009 09:30:17 GMT",
"version": "v2"
}
] | 2009-05-27 | [
[
"Ahn",
"Changrim",
""
],
[
"Nepomechie",
"Rafael I.",
""
]
] | Starting from the integrable two-loop spin-chain Hamiltonian describing the anomalous dimensions of scalar operators in the planar N=6 superconformal Chern-Simons theory of ABJM, we perform a direct coordinate Bethe ansatz computation of the corresponding two-loop S-matrix. The result matches with the weak-coupling limit of the scalar sector of the all-loop S-matrix which we have recently proposed. In particular, we confirm that the scattering of A and B particles is reflectionless. As a warm up, we first review the analogous computation of the one-loop S-matrix from the one-loop dilatation operator for the scalar sector of planar N=4 superconformal Yang-Mills theory, and compare the result with the all-loop SU(2|2)^{2} S-matrix. |
1408.7031 | Oleg Andreev | Oleg Andreev | More On Nonrelativistic Diffeomorphism Invariance | 19 pages. v2: minor changes, reference added; v3: improved discussion
on the Seiberg-Witten map, typos corrected, reference added, version to
appear in PRD | null | 10.1103/PhysRevD.91.024035 | LMU-ASC 53/14 | hep-th cond-mat.mes-hall cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Certain aspects of nonrelativistic diffeomorphisms in 2+1 dimensions are
investigated. These include a nonrelativistic limit of some relativistic
actions in 3 dimensions, the Seiberg-Witten map, a modification of the
viscosity tensor in particular due to a non-uniform magnetic field, a
redefinition of background fields, and 1/R terms on Riemann surfaces of
constant curvature.
| [
{
"created": "Fri, 29 Aug 2014 14:25:11 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Sep 2014 08:16:49 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jan 2015 21:24:07 GMT",
"version": "v3"
}
] | 2015-06-22 | [
[
"Andreev",
"Oleg",
""
]
] | Certain aspects of nonrelativistic diffeomorphisms in 2+1 dimensions are investigated. These include a nonrelativistic limit of some relativistic actions in 3 dimensions, the Seiberg-Witten map, a modification of the viscosity tensor in particular due to a non-uniform magnetic field, a redefinition of background fields, and 1/R terms on Riemann surfaces of constant curvature. |
1906.08262 | Liam McAllister | Mehmet Demirtas, Cody Long, Liam McAllister, Mike Stillman | Minimal Surfaces and Weak Gravity | 25 pages | null | 10.1007/JHEP03(2020)021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the Weak Gravity Conjecture (WGC) implies a nontrivial upper
bound on the volumes of the minimal-volume cycles in certain homology classes
that admit no calibrated representatives. In compactification of type IIB
string theory on an orientifold $X$ of a Calabi-Yau threefold, we consider a
homology class $[\Sigma] \in H_4(X,\mathbb{Z})$ represented by a union
$\Sigma_{\cup}$ of holomorphic and antiholomorphic cycles. The instanton form
of the WGC applied to the axion charge $[\Sigma]$ implies an upper bound on the
action of a non-BPS Euclidean D3-brane wrapping the minimal-volume
representative $\Sigma_{\mathrm{min}}$ of $[\Sigma]$. We give an explicit
example of an orientifold $X$ of a hypersurface in a toric variety, and a
hyperplane $\mathcal{H} \subset H_4(X,\mathbb{Z})$, such that for any $[\Sigma]
\in H$ that satisfies the WGC, the minimal volume obeys
$\mathrm{Vol}(\Sigma_{\mathrm{min}}) \ll \mathrm{Vol}(\Sigma_{\cup})$: the
holomorphic and antiholomorphic components recombine to form a much smaller
cycle. In particular, the sub-Lattice WGC applied to $X$ implies large
recombination, no matter how sparse the sublattice. Non-BPS instantons wrapping
$\Sigma_{\mathrm{min}}$ are then more important than would be predicted from a
study of BPS instantons wrapping the separate components of $\Sigma_{\cup}$.
Our analysis hinges on a novel computation of effective divisors in $X$ that
are not inherited from effective divisors of the toric variety.
| [
{
"created": "Wed, 19 Jun 2019 18:00:00 GMT",
"version": "v1"
}
] | 2020-04-22 | [
[
"Demirtas",
"Mehmet",
""
],
[
"Long",
"Cody",
""
],
[
"McAllister",
"Liam",
""
],
[
"Stillman",
"Mike",
""
]
] | We show that the Weak Gravity Conjecture (WGC) implies a nontrivial upper bound on the volumes of the minimal-volume cycles in certain homology classes that admit no calibrated representatives. In compactification of type IIB string theory on an orientifold $X$ of a Calabi-Yau threefold, we consider a homology class $[\Sigma] \in H_4(X,\mathbb{Z})$ represented by a union $\Sigma_{\cup}$ of holomorphic and antiholomorphic cycles. The instanton form of the WGC applied to the axion charge $[\Sigma]$ implies an upper bound on the action of a non-BPS Euclidean D3-brane wrapping the minimal-volume representative $\Sigma_{\mathrm{min}}$ of $[\Sigma]$. We give an explicit example of an orientifold $X$ of a hypersurface in a toric variety, and a hyperplane $\mathcal{H} \subset H_4(X,\mathbb{Z})$, such that for any $[\Sigma] \in H$ that satisfies the WGC, the minimal volume obeys $\mathrm{Vol}(\Sigma_{\mathrm{min}}) \ll \mathrm{Vol}(\Sigma_{\cup})$: the holomorphic and antiholomorphic components recombine to form a much smaller cycle. In particular, the sub-Lattice WGC applied to $X$ implies large recombination, no matter how sparse the sublattice. Non-BPS instantons wrapping $\Sigma_{\mathrm{min}}$ are then more important than would be predicted from a study of BPS instantons wrapping the separate components of $\Sigma_{\cup}$. Our analysis hinges on a novel computation of effective divisors in $X$ that are not inherited from effective divisors of the toric variety. |
hep-th/0109105 | Guy Bonneau | Guy Bonneau (LPTHE, Paris) | Lorentz and CPT violations in QED : a short comment on recent
controversies | 7 pages, LaTex file, 2 references added | null | null | PAR/LPTHE/01-36 | hep-th | null | We rediscuss the recent controversy on a possible Chern-Simons like term
generated through radiative corrections in QED with a CPT violating term. We
emphasize the fact that any absence of an {\sl a priori} divergence should be
explained by some symmetry or some non-renormalisation theorem : otherwise, no
prediction can be made on the corresponding quantity.
| [
{
"created": "Thu, 13 Sep 2001 11:35:07 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2001 12:30:33 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bonneau",
"Guy",
"",
"LPTHE, Paris"
]
] | We rediscuss the recent controversy on a possible Chern-Simons like term generated through radiative corrections in QED with a CPT violating term. We emphasize the fact that any absence of an {\sl a priori} divergence should be explained by some symmetry or some non-renormalisation theorem : otherwise, no prediction can be made on the corresponding quantity. |
hep-th/9412235 | Harvinder Singh | Jnanadeva Maharana | Four Dimensional String-String Solutions and Symmetries of String
Effective Action | 13 pages, plain TEX | Phys. Lett. B348 (1995) 70 | 10.1016/0370-2693(95)00090-8 | NI94023, Oct 1994 | hep-th | null | A string action is considered in four spacetime dimensions which is obtained
by dimensionally reducing the ten dimensional effective action. The equations
of motion admit string like solutions. The symmetry properties of the four
dimensional action is discussed. It is shown that new background configurations
can be generated by implementing suitable $O(d,d)$ transformations.
| [
{
"created": "Thu, 29 Dec 1994 19:26:46 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Maharana",
"Jnanadeva",
""
]
] | A string action is considered in four spacetime dimensions which is obtained by dimensionally reducing the ten dimensional effective action. The equations of motion admit string like solutions. The symmetry properties of the four dimensional action is discussed. It is shown that new background configurations can be generated by implementing suitable $O(d,d)$ transformations. |
1902.04108 | Fernando Marchesano | Fernando Marchesano, Raffaele Savelli, Sebastian Schwieger | T-branes and defects | 44 pages + appendices | null | 10.1007/JHEP04(2019)110 | IFT-UAM/CSIC-19-015; ROM2F/2019/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study T-branes on compact Kaehler surfaces, in the presence of fields
localised at curves. If such fields are treated as defects, their vevs induce
delta-function sources for the 7-brane background, possibly leading to profiles
with poles. We find that the presence of defect sources relaxes the constraints
on globally well-defined T-brane configurations, avoiding the obstruction to
building them on surfaces of positive curvature. Profiles with poles can be
understood, from a 4d viewpoint, as non-trivial vevs for massive modes induced
by the defects, and come with their own set of constraints. In the special case
of fields localised on a self-intersection curve, we show how to retrieve the
Hitchin system with defects from an ordinary global one with enhanced symmetry.
| [
{
"created": "Mon, 11 Feb 2019 19:35:26 GMT",
"version": "v1"
}
] | 2019-05-01 | [
[
"Marchesano",
"Fernando",
""
],
[
"Savelli",
"Raffaele",
""
],
[
"Schwieger",
"Sebastian",
""
]
] | We study T-branes on compact Kaehler surfaces, in the presence of fields localised at curves. If such fields are treated as defects, their vevs induce delta-function sources for the 7-brane background, possibly leading to profiles with poles. We find that the presence of defect sources relaxes the constraints on globally well-defined T-brane configurations, avoiding the obstruction to building them on surfaces of positive curvature. Profiles with poles can be understood, from a 4d viewpoint, as non-trivial vevs for massive modes induced by the defects, and come with their own set of constraints. In the special case of fields localised on a self-intersection curve, we show how to retrieve the Hitchin system with defects from an ordinary global one with enhanced symmetry. |
2005.13817 | Songyuan Li | Songyuan Li, Jan Troost | Twisted String Theory in Anti-de Sitter Space | 23 pages | null | 10.1007/JHEP11(2020)047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a string theory in three-dimensional anti-de Sitter space-time
that is independent of the boundary metric. It is a topologically twisted
theory of quantum gravity. We study string theories with an asymptotic N=2
superconformal symmetry and demonstrate that, when the world sheet coupling to
the space-time boundary metric undergoes a U(1) R-symmetry twist, the
space-time boundary energy-momentum tensor becomes topological. As a by-product
of our analysis, we obtain the world sheet vertex operator that codes the
space-time energy-momentum for conformally flat boundary metrics.
| [
{
"created": "Thu, 28 May 2020 07:39:40 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Dec 2020 14:09:04 GMT",
"version": "v2"
}
] | 2020-12-08 | [
[
"Li",
"Songyuan",
""
],
[
"Troost",
"Jan",
""
]
] | We construct a string theory in three-dimensional anti-de Sitter space-time that is independent of the boundary metric. It is a topologically twisted theory of quantum gravity. We study string theories with an asymptotic N=2 superconformal symmetry and demonstrate that, when the world sheet coupling to the space-time boundary metric undergoes a U(1) R-symmetry twist, the space-time boundary energy-momentum tensor becomes topological. As a by-product of our analysis, we obtain the world sheet vertex operator that codes the space-time energy-momentum for conformally flat boundary metrics. |
0907.4107 | Emery Sokatchev | G.P. Korchemsky, E. Sokatchev | Twistor transform of all tree amplitudes in N=4 SYM theory | 46 pages, 17 figures | Nucl.Phys.B829:478-522,2010 | 10.1016/j.nuclphysb.2009.11.017 | IPhT-T09/102, LAPTH-1341/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform the twistor (half-Fourier) transform of all tree n-particle
superamplitudes in N=4 SYM and show that it has a transparent geometric
interpretation. We find that the N^kMHV amplitude is supported on a set of
(2k+1) intersecting lines in twistor space and demonstrate that the
corresponding line moduli form a lightlike (2k+1)-gon in moduli space. This
polygon is triangulated into two kinds of lightlike triangles lying in
different planes. We formulate simple graphical rules for constructing the
triangulated polygons, from which the analytic expressions of the N^kMHV
amplitudes follow directly, both in twistor and in momentum space. We also
discuss the ordinary and dual conformal properties and the cancellation of
spurious singularities in twistor space.
| [
{
"created": "Thu, 23 Jul 2009 16:07:14 GMT",
"version": "v1"
}
] | 2010-01-26 | [
[
"Korchemsky",
"G. P.",
""
],
[
"Sokatchev",
"E.",
""
]
] | We perform the twistor (half-Fourier) transform of all tree n-particle superamplitudes in N=4 SYM and show that it has a transparent geometric interpretation. We find that the N^kMHV amplitude is supported on a set of (2k+1) intersecting lines in twistor space and demonstrate that the corresponding line moduli form a lightlike (2k+1)-gon in moduli space. This polygon is triangulated into two kinds of lightlike triangles lying in different planes. We formulate simple graphical rules for constructing the triangulated polygons, from which the analytic expressions of the N^kMHV amplitudes follow directly, both in twistor and in momentum space. We also discuss the ordinary and dual conformal properties and the cancellation of spurious singularities in twistor space. |
hep-th/9604201 | Chris Lassig | C.C. Lassig, G.C. Joshi | Magnetic Charge in a Nonassociative Field Theory | 10 pages, REVTeX, no figures | Phys.Lett. B400 (1997) 295-300 | 10.1016/S0370-2693(97)00318-3 | UM-P-96/24; RCHEP-96/3 | hep-th | null | The violation of the Jacobi identity by the presence of magnetic charge is
accomodated by using an explicitly nonassociative theory of octonionic fields.
It is found that the dynamics of this theory is simplified if the Lagrangian
contains only dyonic charges, but certain problems in the constrained
quantisation remain. The extension of these concepts to string theory may
however resolve these difficulties.
| [
{
"created": "Wed, 1 May 1996 05:22:16 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Lassig",
"C. C.",
""
],
[
"Joshi",
"G. C.",
""
]
] | The violation of the Jacobi identity by the presence of magnetic charge is accomodated by using an explicitly nonassociative theory of octonionic fields. It is found that the dynamics of this theory is simplified if the Lagrangian contains only dyonic charges, but certain problems in the constrained quantisation remain. The extension of these concepts to string theory may however resolve these difficulties. |
1802.09545 | Arpan Bhattacharyya | Arpan Bhattacharyya, Tadashi Takayanagi, Koji Umemoto | Entanglement of Purification in Free Scalar Field Theories | 28 pages, 17 figures; references updated; version to appear in JHEP | JHEP 1804 (2018) 132 | 10.1007/JHEP04(2018)132 | YITP-18-12, IPMU18-0035 | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the entanglement of purification (EoP) in a 2d free scalar field
theory with various masses. This quantity measures correlations between two
subsystems and is reduced to the entanglement entropy when the total system is
pure. We obtain explicit numerical values by assuming minimal gaussian wave
functionals for the purified states. We find that when the distance between the
subsystems is large, the EoP behaves like the mutual information. However, when
the distance is small, the EoP shows a characteristic behavior which
qualitatively agrees with the conjectured holographic computation and which is
different from that of the mutual information. We also study behaviors of
mutual information in purified spaces and violations of monogamy/strong
superadditivity.
| [
{
"created": "Mon, 26 Feb 2018 19:00:06 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Apr 2018 17:23:33 GMT",
"version": "v2"
}
] | 2018-04-26 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Umemoto",
"Koji",
""
]
] | We compute the entanglement of purification (EoP) in a 2d free scalar field theory with various masses. This quantity measures correlations between two subsystems and is reduced to the entanglement entropy when the total system is pure. We obtain explicit numerical values by assuming minimal gaussian wave functionals for the purified states. We find that when the distance between the subsystems is large, the EoP behaves like the mutual information. However, when the distance is small, the EoP shows a characteristic behavior which qualitatively agrees with the conjectured holographic computation and which is different from that of the mutual information. We also study behaviors of mutual information in purified spaces and violations of monogamy/strong superadditivity. |
1911.07768 | Dmitri Bykov | Dmitri Bykov | Flag manifold sigma-models and nilpotent orbits | 12 pages | Proc. Steklov Inst. Math., 309 (2020), pp. 78-86 | 10.1134/S0081543820030062 | LMU-ASC 37/20, MPP-2020-174 | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present paper we study flag manifold sigma-models that admit a
zero-curvature representation. It is shown that these models may be naturally
considered as interacting (holomorphic and anti-holomorphic)
$\beta\gamma$-systems. Besides, using the theory of nilpotent orbits of complex
Lie groups, we establish a relation to the principal chiral model.
| [
{
"created": "Mon, 18 Nov 2019 17:02:03 GMT",
"version": "v1"
}
] | 2020-10-01 | [
[
"Bykov",
"Dmitri",
""
]
] | In the present paper we study flag manifold sigma-models that admit a zero-curvature representation. It is shown that these models may be naturally considered as interacting (holomorphic and anti-holomorphic) $\beta\gamma$-systems. Besides, using the theory of nilpotent orbits of complex Lie groups, we establish a relation to the principal chiral model. |
1012.1230 | Niko Jokela | Niko Jokela, Gilad Lifschytz, Matthew Lippert | Magneto-roton excitation in a holographic quantum Hall fluid | 17 pages, 15 figures; v2: added references, v3: discussion added | JHEP 1102:104,2011 | 10.1007/JHEP02(2011)104 | CCTP-2010-24 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the neutral bosonic excitation spectra of the holographic quantum
Hall fluid described by the D3-D7' system. We find that the system is stable,
gapped, and, in a range of parameters, exhibits a spectrum of low-lying
excitations very similar to that of a quantum Hall fluid, including a
magneto-roton excitation.
| [
{
"created": "Mon, 6 Dec 2010 16:34:04 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jan 2011 20:22:24 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Nov 2011 14:19:20 GMT",
"version": "v3"
}
] | 2011-11-09 | [
[
"Jokela",
"Niko",
""
],
[
"Lifschytz",
"Gilad",
""
],
[
"Lippert",
"Matthew",
""
]
] | We compute the neutral bosonic excitation spectra of the holographic quantum Hall fluid described by the D3-D7' system. We find that the system is stable, gapped, and, in a range of parameters, exhibits a spectrum of low-lying excitations very similar to that of a quantum Hall fluid, including a magneto-roton excitation. |
1609.06228 | Stuart Dowker | J.S. Dowker | Revivals and Casimir energy for a free Maxwell field (spin-1 singleton)
on R x S^d for odd d | 14 pages. 6 figures. Extension to Di-Rac linetons (or GJMS fields)
gives Casimir energy as polynomials in l. GJMS return amplitude plotted | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Earlier work on quantum revivals is extended to Maxwell fields (aka spin-one
singletons). An evaluation of the Casimir energy on the generalised Einstein
universe is also done to illustrate the utility of the Barnes zeta--function
and generalised Bernoulli polynomials. Contact is made with some recent
calculations in AdS/CFT. In particular. higher order singletons are considered
with the Casimir energy being a polynomial in the order.
| [
{
"created": "Tue, 20 Sep 2016 15:45:26 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Oct 2016 16:24:53 GMT",
"version": "v2"
}
] | 2016-10-05 | [
[
"Dowker",
"J. S.",
""
]
] | Earlier work on quantum revivals is extended to Maxwell fields (aka spin-one singletons). An evaluation of the Casimir energy on the generalised Einstein universe is also done to illustrate the utility of the Barnes zeta--function and generalised Bernoulli polynomials. Contact is made with some recent calculations in AdS/CFT. In particular. higher order singletons are considered with the Casimir energy being a polynomial in the order. |
0905.3688 | Manuel Calixto | V. Aldaya, M. Calixto and F.F. Lopez-Ruiz | A Quantizable Model of Massive Gauge Vector Bosons without Higgs | 9 pages, LaTeX, minor changes | Mod.Phys.Lett.A24:2731-2740,2009 | 10.1142/S0217732309032034 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We incorporate the parameters of the gauge group G into the gauge theory of
interactions through a non-linear partial-trace sigma-model Lagrangian on G/H.
The minimal coupling of the new (Goldstone-like) scalar bosons provides mass
terms to those intermediate vector bosons associated with the quotient G/H,
without spoiling gauge invariance, remaining the H-vector potentials massless.
The main virtue of a partial trace on G/H, rather than on the entire G, is that
we can find an infinite-dimensional symmetry, with non-trivial Noether
invariants, which ensures quantum integrability in a non-canonical quantization
scheme. The present formalism is explicitly applied to the case G=SU(2)x U(1),
as a Higgs-less alternative to the Standard Model of electroweak interactions,
although it can also be used in low-energy phenomenological models for strong
interactions.
| [
{
"created": "Fri, 22 May 2009 14:19:25 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2009 17:48:35 GMT",
"version": "v2"
}
] | 2010-12-01 | [
[
"Aldaya",
"V.",
""
],
[
"Calixto",
"M.",
""
],
[
"Lopez-Ruiz",
"F. F.",
""
]
] | We incorporate the parameters of the gauge group G into the gauge theory of interactions through a non-linear partial-trace sigma-model Lagrangian on G/H. The minimal coupling of the new (Goldstone-like) scalar bosons provides mass terms to those intermediate vector bosons associated with the quotient G/H, without spoiling gauge invariance, remaining the H-vector potentials massless. The main virtue of a partial trace on G/H, rather than on the entire G, is that we can find an infinite-dimensional symmetry, with non-trivial Noether invariants, which ensures quantum integrability in a non-canonical quantization scheme. The present formalism is explicitly applied to the case G=SU(2)x U(1), as a Higgs-less alternative to the Standard Model of electroweak interactions, although it can also be used in low-energy phenomenological models for strong interactions. |
hep-th/0601007 | Neil Turok | Gustavo Niz and Neil Turok | Classical Propagation of Strings across a Big Crunch/Big Bang
Singularity | 38 pages, 19 figures | Phys.Rev.D75:026001,2007 | 10.1103/PhysRevD.75.026001 | null | hep-th | null | One of the simplest time-dependent solutions of M theory consists of
nine-dimensional Euclidean space times 1+1-dimensional compactified Milne
space-time. With a further modding out by Z_2, the space-time represents two
orbifold planes which collide and re-emerge, a process proposed as an
explanation of the hot big bang. When the two planes are near, the light states
of the theory consist of winding M2-branes, describing fundamental strings in a
particular ten-dimensional background. They suffer no blue-shift as the M
theory dimension collapses, and their equations of motion are regular across
the transition from big crunch to big bang. In this paper, we study the
classical evolution of fundamental strings across the singularity in some
detail. We also develop a simple semi-classical approximation to the quantum
evolution which allows one to compute the quantum production of excitations on
the string and implement it in a simplified example.
| [
{
"created": "Sun, 1 Jan 2006 15:02:16 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Niz",
"Gustavo",
""
],
[
"Turok",
"Neil",
""
]
] | One of the simplest time-dependent solutions of M theory consists of nine-dimensional Euclidean space times 1+1-dimensional compactified Milne space-time. With a further modding out by Z_2, the space-time represents two orbifold planes which collide and re-emerge, a process proposed as an explanation of the hot big bang. When the two planes are near, the light states of the theory consist of winding M2-branes, describing fundamental strings in a particular ten-dimensional background. They suffer no blue-shift as the M theory dimension collapses, and their equations of motion are regular across the transition from big crunch to big bang. In this paper, we study the classical evolution of fundamental strings across the singularity in some detail. We also develop a simple semi-classical approximation to the quantum evolution which allows one to compute the quantum production of excitations on the string and implement it in a simplified example. |
hep-th/0010273 | Hiroshi Ozaki | Hiroshi Ozaki | Relativistically covariant formulation of the canonical theory of
classical fields I | 9 pages, 2 EPS figures, uses revtex.sty | null | null | TOKAI-HEP/TH-0006 | hep-th | null | An explicit Lorentz covariant formulation of the canonical theory for
classical fields is established on a space-like hypersurface. Hamilton's
equations and a Poisson bracket are defined on the space-like hypersurface. The
Poisson bracket relations between total momentum and total angular momentum
satisfies the Poincar{\'e} algebra. It is shown that our Poisson bracket has
the same symplectic structure that was brought in the covariant symplectic
approach.
| [
{
"created": "Mon, 30 Oct 2000 13:35:26 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Ozaki",
"Hiroshi",
""
]
] | An explicit Lorentz covariant formulation of the canonical theory for classical fields is established on a space-like hypersurface. Hamilton's equations and a Poisson bracket are defined on the space-like hypersurface. The Poisson bracket relations between total momentum and total angular momentum satisfies the Poincar{\'e} algebra. It is shown that our Poisson bracket has the same symplectic structure that was brought in the covariant symplectic approach. |
hep-th/0408171 | Lilia Anguelova | L. Anguelova, P. A. Grassi, P. Vanhove | Covariant One-Loop Amplitudes in D=11 | 41 pages; minor corrections, journal version | Nucl.Phys. B702 (2004) 269-306 | 10.1016/j.nuclphysb.2004.09.024 | MCTP-04-46, YITP-04-41, SPHT-T-04/102, NEIP-04-04 | hep-th | null | We generalize to the eleven-dimensional superparticle Berkovits' prescription
for loop computations in the pure spinor approach to covariant quantization of
the superstring. Using these ten- and eleven-dimensional results, we compute
covariantly the following one-loop amplitudes: C\wedge X_8 in M-theory; B\wedge
X_8 in type II string theory and F^4 in type I. We also verify the consistency
of the formalism in eleven dimensions by recovering the correct classical
action from tree-level amplitudes. As the superparticle is only a first
approximation to the supermembrane, we comment on the possibility of extending
this construction to the latter. Finally, we elaborate on the relationship
between the present BRST language and the spinorial cohomology approach to
corrections of the effective action.
| [
{
"created": "Sun, 22 Aug 2004 10:27:16 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Sep 2004 07:11:42 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Sep 2004 17:40:37 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Anguelova",
"L.",
""
],
[
"Grassi",
"P. A.",
""
],
[
"Vanhove",
"P.",
""
]
] | We generalize to the eleven-dimensional superparticle Berkovits' prescription for loop computations in the pure spinor approach to covariant quantization of the superstring. Using these ten- and eleven-dimensional results, we compute covariantly the following one-loop amplitudes: C\wedge X_8 in M-theory; B\wedge X_8 in type II string theory and F^4 in type I. We also verify the consistency of the formalism in eleven dimensions by recovering the correct classical action from tree-level amplitudes. As the superparticle is only a first approximation to the supermembrane, we comment on the possibility of extending this construction to the latter. Finally, we elaborate on the relationship between the present BRST language and the spinorial cohomology approach to corrections of the effective action. |
hep-th/9404100 | D. V. Ahluwalia, Lanl | Dharam V. Ahluwalia | Incompatibility of Self-Charge Conjugation with Helicity Eigenstates and
Gauge Interactions | 23 pages (Revtex 3.0) LA-UR-94-1252 | null | null | null | hep-th hep-ph | null | In this essay, an {\it ab initio} study of the self/anti-self charge
conjugate $(1/2,\,0)\oplus(0,\,1/2)$ representation space is presented.
Incompatibility of self/anti-self charge conjugation with helicity eigenstates
and gauge interactions is demonstrated. Parity violation is seen as an
intrinsic part of the self/anti-self charge conjugate construct. From a
phenomenological point of view, an essential part of the theory is the
Bargmann-Wightman-Wigner-type boson, where a boson and its antiboson carry
opposite relative intrinsic parity.
| [
{
"created": "Sat, 16 Apr 1994 01:39:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ahluwalia",
"Dharam V.",
""
]
] | In this essay, an {\it ab initio} study of the self/anti-self charge conjugate $(1/2,\,0)\oplus(0,\,1/2)$ representation space is presented. Incompatibility of self/anti-self charge conjugation with helicity eigenstates and gauge interactions is demonstrated. Parity violation is seen as an intrinsic part of the self/anti-self charge conjugate construct. From a phenomenological point of view, an essential part of the theory is the Bargmann-Wightman-Wigner-type boson, where a boson and its antiboson carry opposite relative intrinsic parity. |
0710.1162 | Axel de Goursac | Axel de Goursac | On the Effective Action of Noncommutative Yang-Mills Theory | 19 pages, 6 figures. At the occasion of the "International Conference
on Noncommutative Geometry and Physics", April 2007, Orsay (France). To
appear in J. Phys. Conf. Ser | J.Phys.Conf.Ser.103:012010,2008 | 10.1088/1742-6596/103/1/012010 | null | hep-th math-ph math.MP | null | We compute here the Yang-Mills effective action on Moyal space by integrating
over the scalar fields in a noncommutative scalar field theory with harmonic
term, minimally coupled to an external gauge potential. We also explain the
special regularisation scheme chosen here and give some links to the Schwinger
parametric representation. Finally, we discuss the results obtained: a
noncommutative possibly renormalisable Yang-Mills theory.
| [
{
"created": "Fri, 5 Oct 2007 09:48:02 GMT",
"version": "v1"
}
] | 2008-12-11 | [
[
"de Goursac",
"Axel",
""
]
] | We compute here the Yang-Mills effective action on Moyal space by integrating over the scalar fields in a noncommutative scalar field theory with harmonic term, minimally coupled to an external gauge potential. We also explain the special regularisation scheme chosen here and give some links to the Schwinger parametric representation. Finally, we discuss the results obtained: a noncommutative possibly renormalisable Yang-Mills theory. |
hep-th/9306070 | Akika Nakamichi | Takashi Mishima and Akika Nakamichi | Cosmological Model in 2d Dilaton Gravity | 20 pages, phyzzx, TIT/HEP-225/COSMO-33 | Prog.Theor.Phys.Suppl.114:207-219,1993 | 10.1143/PTPS.114.207 | null | hep-th | null | We apply CGHS-type dilaton gravity model to (1+1)-dimensional cosmological
situations.
First the behavior of a compact 1-dimensional universe (i.e. like a closed
string) is classified on the assumption of homogeneity of universe.
Several interesting solutions are found, which include a Misner-type universe
having closed time-like curves, and an asymptotically de Sitter universe first
pointed out by Yoshimura.
In the second half of this talk, we discuss the modification of the classical
homogeneous solutions, considering inhomogeneity of classical conformal matters
and also quantum back-reaction respectively.
(An expanded version of the talk presented by T. Mishima at Yukawa Institute
of Theoretical Physics workshop `Quantum Gravity' 24-27, November 1992.)
| [
{
"created": "Wed, 16 Jun 1993 07:49:49 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Mishima",
"Takashi",
""
],
[
"Nakamichi",
"Akika",
""
]
] | We apply CGHS-type dilaton gravity model to (1+1)-dimensional cosmological situations. First the behavior of a compact 1-dimensional universe (i.e. like a closed string) is classified on the assumption of homogeneity of universe. Several interesting solutions are found, which include a Misner-type universe having closed time-like curves, and an asymptotically de Sitter universe first pointed out by Yoshimura. In the second half of this talk, we discuss the modification of the classical homogeneous solutions, considering inhomogeneity of classical conformal matters and also quantum back-reaction respectively. (An expanded version of the talk presented by T. Mishima at Yukawa Institute of Theoretical Physics workshop `Quantum Gravity' 24-27, November 1992.) |
2404.19080 | Josef Kluson | J. Kluson | Brown-Kuchar Mechanism for Unstable D-Brane at Large Tachyon Regime | 22 pages, corrected some typos | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We study space-time filling unstable D-brane coupled to gravity. We find
Hamiltonian for this D-brane and then we implement Brown-Kuchar formalism for
this system. We calculate algebra of constraints of deparametrized theory and
we show that for large $T$ the Poisson brackets between new constraints are
zero. Then we define gauge invariant functions on phase space following
deparametrization construction introduced in [9].
| [
{
"created": "Mon, 29 Apr 2024 19:48:28 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2024 09:59:56 GMT",
"version": "v2"
}
] | 2024-05-21 | [
[
"Kluson",
"J.",
""
]
] | We study space-time filling unstable D-brane coupled to gravity. We find Hamiltonian for this D-brane and then we implement Brown-Kuchar formalism for this system. We calculate algebra of constraints of deparametrized theory and we show that for large $T$ the Poisson brackets between new constraints are zero. Then we define gauge invariant functions on phase space following deparametrization construction introduced in [9]. |
hep-th/9202039 | Maximilian Kreuzer | Maximilian Kreuzer and Harald Skarke | On the Classification of Quasihomogeneous Functions | 12 pages | Commun.Math.Phys. 150 (1992) 137 | 10.1007/BF02096569 | null | hep-th | null | We give a criterion for the existence of a non-degenerate quasihomogeneous
polynomial in a configuration, i.e. in the space of polynomials with a fixed
set of weights, and clarify the relation of this criterion to the necessary
condition derived from the formula for the Poincar\'e polynomial. We further
prove finiteness of the number of configurations for a given value of the
singularity index. For the value 3 of this index, which is of particular
interest in string theory, a constructive version of this proof implies an
algorithm for the calculation of all non-degenerate configurations.
| [
{
"created": "Wed, 12 Feb 1992 15:41:15 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Kreuzer",
"Maximilian",
""
],
[
"Skarke",
"Harald",
""
]
] | We give a criterion for the existence of a non-degenerate quasihomogeneous polynomial in a configuration, i.e. in the space of polynomials with a fixed set of weights, and clarify the relation of this criterion to the necessary condition derived from the formula for the Poincar\'e polynomial. We further prove finiteness of the number of configurations for a given value of the singularity index. For the value 3 of this index, which is of particular interest in string theory, a constructive version of this proof implies an algorithm for the calculation of all non-degenerate configurations. |
2004.13802 | Hristo Dimov | A.Golubtsova, H.Dimov, I.Iliev, M.Radomirov, R.C.Rashkov, T.Vetsov | More on Schr\"odinger holography | 30 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find explicit solutions for giant magnons and spiky strings living on the
Schr\"odinger $Schr_5 \times T^{1,1}$ and compute dispersion relations. The
holographic dual field theory is conjectured to be a non-local dipole-deformed
CFT at strong coupling. We find that the dependence between conserved charges
in the dispersion relations is transcendental, which is quite different from
the most symmetric case of spherical internal space. Keeping the squashing
parameter $b$ general allows us to take some limits and to compare our results
to known cases.
| [
{
"created": "Tue, 28 Apr 2020 20:13:34 GMT",
"version": "v1"
}
] | 2020-04-30 | [
[
"Golubtsova",
"A.",
""
],
[
"Dimov",
"H.",
""
],
[
"Iliev",
"I.",
""
],
[
"Radomirov",
"M.",
""
],
[
"Rashkov",
"R. C.",
""
],
[
"Vetsov",
"T.",
""
]
] | We find explicit solutions for giant magnons and spiky strings living on the Schr\"odinger $Schr_5 \times T^{1,1}$ and compute dispersion relations. The holographic dual field theory is conjectured to be a non-local dipole-deformed CFT at strong coupling. We find that the dependence between conserved charges in the dispersion relations is transcendental, which is quite different from the most symmetric case of spherical internal space. Keeping the squashing parameter $b$ general allows us to take some limits and to compare our results to known cases. |
hep-th/9209077 | null | A.Turbiner | On polynomial solutions of differential equations | 12pp | J.Math.Phys. 33 (1992) 3989-3993 | 10.1063/1.529848 | CPT-91/P.2628 | hep-th alg-geom funct-an math.AG math.FA | null | A general method of obtaining linear differential equations having polynomial
solutions is proposed. The method is based on an equivalence of the spectral
problem for an element of the universal enveloping algebra of some Lie algebra
in the "projectivized" representation possessing an invariant subspace and the
spectral problem for a certain linear differential operator with variable
coefficients. It is shown in general that polynomial solutions of partial
differential equations occur; in the case of Lie superalgebras there are
polynomial solutions of some matrix differential equations, quantum algebras
give rise to polynomial solutions of finite--difference equations.
Particularly, known classical orthogonal polynomials will appear when
considering $SL(2,{\bf R})$ acting on ${\bf RP_1}$. As examples, some
polynomials connected to projectivized representations of $sl_2 ({\bf R})$,
$sl_2 ({\bf R})_q$, $osp(2,2)$ and $so_3$ are briefly discussed.
| [
{
"created": "Tue, 22 Sep 1992 13:34:04 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Turbiner",
"A.",
""
]
] | A general method of obtaining linear differential equations having polynomial solutions is proposed. The method is based on an equivalence of the spectral problem for an element of the universal enveloping algebra of some Lie algebra in the "projectivized" representation possessing an invariant subspace and the spectral problem for a certain linear differential operator with variable coefficients. It is shown in general that polynomial solutions of partial differential equations occur; in the case of Lie superalgebras there are polynomial solutions of some matrix differential equations, quantum algebras give rise to polynomial solutions of finite--difference equations. Particularly, known classical orthogonal polynomials will appear when considering $SL(2,{\bf R})$ acting on ${\bf RP_1}$. As examples, some polynomials connected to projectivized representations of $sl_2 ({\bf R})$, $sl_2 ({\bf R})_q$, $osp(2,2)$ and $so_3$ are briefly discussed. |
hep-th/9710068 | Amir Masoud Ghezelbash | A.M. Ghezelbash | Periods and Prepotential of N=2 Supersymmetric E_6 Yang-Mills Theory | 11 pages, LaTex, no figures | Phys.Lett. B423 (1998) 87-96 | 10.1016/S0370-2693(97)01530-X | IPM-97-241 | hep-th | null | We obtain the periods and one-instanton coefficient of the N=2
superrsymmetric Yang-Mills theory with the exceptional gauge group E_6. These
calculations are based on the E_6 spectral curve and the obtained one-instanton
coefficient is in agreement with the microscopic results.
| [
{
"created": "Wed, 8 Oct 1997 09:03:21 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Ghezelbash",
"A. M.",
""
]
] | We obtain the periods and one-instanton coefficient of the N=2 superrsymmetric Yang-Mills theory with the exceptional gauge group E_6. These calculations are based on the E_6 spectral curve and the obtained one-instanton coefficient is in agreement with the microscopic results. |
hep-th/9811101 | Peter West | P. West (King's College, London) | Supergravity, Brane Dynamics and String Duality | 109 pages, 2 figures, plain tex | null | null | KCL-MTH-98-55 | hep-th | null | In this review we show that a Clifford algebra possesses a unique irreducible
representation; the spinor representation. We discuss what types of spinors can
exist in Minkowski space-times and we explain how to construct all the
supersymmetry algebras that contain a given space-time Lie algebra. After
deriving the irreducible representations of the superymmetry algebras, we
explain how to use them to systematically construct supergravity theories. We
give the maximally supersymmetric supergravity theories in ten and eleven
dimensions and discuss their properties. We find which superbranes can exist
for a given supersymmetry algebra and we give the dynamics of the superbranes
that occur in M theory. Finally, we discuss how the properties of supergravity
theories and superbranes provide evidence for string duality.
In effect, we present a continuous chain of argument that begins with
Clifford algebras and leads via supersymmetry algebras and their irreducible
representations to supergravity theories, string duality, brane dynamics and M
theory.
| [
{
"created": "Wed, 11 Nov 1998 16:56:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"West",
"P.",
"",
"King's College, London"
]
] | In this review we show that a Clifford algebra possesses a unique irreducible representation; the spinor representation. We discuss what types of spinors can exist in Minkowski space-times and we explain how to construct all the supersymmetry algebras that contain a given space-time Lie algebra. After deriving the irreducible representations of the superymmetry algebras, we explain how to use them to systematically construct supergravity theories. We give the maximally supersymmetric supergravity theories in ten and eleven dimensions and discuss their properties. We find which superbranes can exist for a given supersymmetry algebra and we give the dynamics of the superbranes that occur in M theory. Finally, we discuss how the properties of supergravity theories and superbranes provide evidence for string duality. In effect, we present a continuous chain of argument that begins with Clifford algebras and leads via supersymmetry algebras and their irreducible representations to supergravity theories, string duality, brane dynamics and M theory. |
1603.09323 | Hai Lin | Hai Lin | $T^4$ fibrations over Calabi-Yau two-folds and non-Kahler manifolds in
string theory | 22 pages | null | 10.1016/j.nuclphysb.2016.06.006 | null | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a geometric model of eight-dimensional manifolds and realize
them in the context of type II string theory. These eight-manifolds are
constructed by non-trivial $T^{4}$ fibrations over Calabi-Yau two-folds. These
give rise to eight-dimensional non-Kahler Hermitian manifolds with $SU(4)$
structure. The eight-manifold is also a circle fibration over a
seven-dimensional $G_{2}$ manifold with skew torsion. The eight-manifolds of
this type appear as internal manifolds with $SU(4)$ structure in type IIB
string theory with $F_{3}$ and $F_{7}$ fluxes. These manifolds have generalized
calibrated cycles in the presence of fluxes.
| [
{
"created": "Wed, 30 Mar 2016 19:39:20 GMT",
"version": "v1"
}
] | 2016-06-29 | [
[
"Lin",
"Hai",
""
]
] | We construct a geometric model of eight-dimensional manifolds and realize them in the context of type II string theory. These eight-manifolds are constructed by non-trivial $T^{4}$ fibrations over Calabi-Yau two-folds. These give rise to eight-dimensional non-Kahler Hermitian manifolds with $SU(4)$ structure. The eight-manifold is also a circle fibration over a seven-dimensional $G_{2}$ manifold with skew torsion. The eight-manifolds of this type appear as internal manifolds with $SU(4)$ structure in type IIB string theory with $F_{3}$ and $F_{7}$ fluxes. These manifolds have generalized calibrated cycles in the presence of fluxes. |
2206.09956 | Steven Abel | Steven Abel and Luca A. Nutricati | Ising Machines for Diophantine Problems in Physics | 13 pages, 5 figures | null | 10.1002/prop.202200114 | IPPP/22/38 | hep-th math-ph math.MP physics.comp-ph quant-ph | http://creativecommons.org/licenses/by/4.0/ | Diophantine problems arise frequently in physics, in for example anomaly
cancellation conditions, string consistency conditions and so forth. We present
methods to solve such problems to high order on annealers that are based on the
quadratic Ising Model. This is the intrinsic framework for both quantum
annealing and for common forms of classical simulated annealing. We demonstrate
the method on so-called Taxicab numbers (discovering some apparently new ones),
and on the realistic problem of anomaly cancellation in $U(1)$ extensions of
the Standard Model.
| [
{
"created": "Mon, 20 Jun 2022 18:33:26 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2022 11:15:04 GMT",
"version": "v2"
}
] | 2022-11-23 | [
[
"Abel",
"Steven",
""
],
[
"Nutricati",
"Luca A.",
""
]
] | Diophantine problems arise frequently in physics, in for example anomaly cancellation conditions, string consistency conditions and so forth. We present methods to solve such problems to high order on annealers that are based on the quadratic Ising Model. This is the intrinsic framework for both quantum annealing and for common forms of classical simulated annealing. We demonstrate the method on so-called Taxicab numbers (discovering some apparently new ones), and on the realistic problem of anomaly cancellation in $U(1)$ extensions of the Standard Model. |
hep-th/0102013 | Amitabha Lahiri | E. Harikumar (1), Amitabha Lahiri (2) and M. Sivakumar (1) ((1)
University of Hyderabad, (2) S.N.Bose Ctr.) | Topologically Massive Non-Abelian Gauge Theories: Constraints and
Deformations | ReVTeX, 17 pp; one reference added, version published in Phys. Rev. D | Phys.Rev. D63 (2001) 105020 | 10.1103/PhysRevD.63.105020 | SBNC/01-02-01 | hep-th | null | We study the relationship between three non-Abelian topologically massive
gauge theories, viz. the naive non-Abelian generalization of the Abelian model,
Freedman-Townsend model and the dynamical 2-form theory, in the canonical
framework. Hamiltonian formulation of the naive non-Abelian theory is presented
first. The other two non-Abelian models are obtained by deforming the
constraints of this model. We study the role of the auxiliary vector field in
the dynamical 2-form theory in the canonical framework and show that the
dynamical 2-form theory cannot be considered as the embedded version of naive
non-Abelian model. The reducibility aspect and gauge algebra of the latter
models are also discussed.
| [
{
"created": "Sat, 3 Feb 2001 06:14:02 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2001 05:56:47 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Harikumar",
"E.",
""
],
[
"Lahiri",
"Amitabha",
""
],
[
"Sivakumar",
"M.",
""
]
] | We study the relationship between three non-Abelian topologically massive gauge theories, viz. the naive non-Abelian generalization of the Abelian model, Freedman-Townsend model and the dynamical 2-form theory, in the canonical framework. Hamiltonian formulation of the naive non-Abelian theory is presented first. The other two non-Abelian models are obtained by deforming the constraints of this model. We study the role of the auxiliary vector field in the dynamical 2-form theory in the canonical framework and show that the dynamical 2-form theory cannot be considered as the embedded version of naive non-Abelian model. The reducibility aspect and gauge algebra of the latter models are also discussed. |
2110.06940 | Alessandro Mininno | Federico Carta, Simone Giacomelli, Noppadol Mekareeya, Alessandro
Mininno | Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories | 42 pages + 1 appendix | null | 10.1007/JHEP02(2022)014 | IFT-UAM/CSIC-21-109, ZMP-HH/21-20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Argyres-Douglas (AD) theories of type $(D_n,D_m)$, realized by type IIB
geometrical engineering on a single hypersurface singularity, are studied. We
analyze their conformal manifolds and propose the 3d mirror theories of all
theories in this class upon reduction on a circle. A subclass of the AD
theories in question that admits marginal couplings is found to be
$\mathrm{SO}$ or $\mathrm{USp}$ gaugings of certain $D_p(\mathrm{SO}(2N))$ and
$D_p(\mathrm{USp}(2N))$ theories. For such theories, we develop a method to
derive this weakly-coupled description from the Newton polygon associated to
the singularity. We further find that the presence of crepant resolutions of
the geometry is reflected in the presence of a (non-abelian) symplectic-type
gauge node in the quiver description of the 3d mirror theory. The other
important results include the 3d mirrors of all $D_p(\mathrm{SO}(2N))$
theories, as well as certain properties of the $D_p(\mathrm{USp}(2N))$ theories
that admit Lagrangian descriptions.
| [
{
"created": "Wed, 13 Oct 2021 18:00:02 GMT",
"version": "v1"
}
] | 2022-02-23 | [
[
"Carta",
"Federico",
""
],
[
"Giacomelli",
"Simone",
""
],
[
"Mekareeya",
"Noppadol",
""
],
[
"Mininno",
"Alessandro",
""
]
] | The Argyres-Douglas (AD) theories of type $(D_n,D_m)$, realized by type IIB geometrical engineering on a single hypersurface singularity, are studied. We analyze their conformal manifolds and propose the 3d mirror theories of all theories in this class upon reduction on a circle. A subclass of the AD theories in question that admits marginal couplings is found to be $\mathrm{SO}$ or $\mathrm{USp}$ gaugings of certain $D_p(\mathrm{SO}(2N))$ and $D_p(\mathrm{USp}(2N))$ theories. For such theories, we develop a method to derive this weakly-coupled description from the Newton polygon associated to the singularity. We further find that the presence of crepant resolutions of the geometry is reflected in the presence of a (non-abelian) symplectic-type gauge node in the quiver description of the 3d mirror theory. The other important results include the 3d mirrors of all $D_p(\mathrm{SO}(2N))$ theories, as well as certain properties of the $D_p(\mathrm{USp}(2N))$ theories that admit Lagrangian descriptions. |
hep-th/0302227 | Julien Vidal | L. Canet, B. Delamotte, D. Mouhanna, and J. Vidal | Nonperturbative renormalization group approach to the Ising model: a
derivative expansion at order $\partial^4$ | 4 pages, 3 figures | Phys.Rev.B68:064421,2003 | 10.1103/PhysRevB.68.064421 | null | hep-th cond-mat.stat-mech | null | On the example of the three-dimensional Ising model, we show that
nonperturbative renormalization group equations allow one to obtain very
accurate critical exponents. Implementing the order $\partial^4$ of the
derivative expansion leads to $\nu=0.632$ and to an anomalous dimension
$\eta=0.033$ which is significantly improved compared with lower orders
calculations.
| [
{
"created": "Fri, 28 Feb 2003 15:15:29 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Sep 2003 09:28:01 GMT",
"version": "v2"
}
] | 2010-05-11 | [
[
"Canet",
"L.",
""
],
[
"Delamotte",
"B.",
""
],
[
"Mouhanna",
"D.",
""
],
[
"Vidal",
"J.",
""
]
] | On the example of the three-dimensional Ising model, we show that nonperturbative renormalization group equations allow one to obtain very accurate critical exponents. Implementing the order $\partial^4$ of the derivative expansion leads to $\nu=0.632$ and to an anomalous dimension $\eta=0.033$ which is significantly improved compared with lower orders calculations. |
hep-th/0202131 | Mohammad H. Yavartano | Mohsen Alishahiha, Hossein Yavartanoo | Supergravity Description of the Large N Noncommutative Dipole Field
Theories | 24 pages, Latex file | JHEP 0204:031,2002 | 10.1088/1126-6708/2002/04/031 | null | hep-th | null | We consider system of Dp-branes in the presence of a nonzero B field with one
leg along brane worldvolume and the other transverse to it. We study the
corresponding supergravity solutions and show that the worldvolume theories
decouple from gravity for $p\leq 5$. Therefore these solutions provide dual
description of large N noncommutative dipole field theories. We shall only
consider those systems which preserve 8 supercharges in the branes worldvolume.
We analyze the system of M5-branes and NS5-branes in the presence of nonzero C
field and RR field with one leg along the transverse direction and the others
along the worldvolume of the brane, respectively. This could provide a new
deformation of (2,0) and little string field theories. Finally, we study the
Wilson loops using the dual gravity descriptions.
| [
{
"created": "Wed, 20 Feb 2002 08:45:06 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] | We consider system of Dp-branes in the presence of a nonzero B field with one leg along brane worldvolume and the other transverse to it. We study the corresponding supergravity solutions and show that the worldvolume theories decouple from gravity for $p\leq 5$. Therefore these solutions provide dual description of large N noncommutative dipole field theories. We shall only consider those systems which preserve 8 supercharges in the branes worldvolume. We analyze the system of M5-branes and NS5-branes in the presence of nonzero C field and RR field with one leg along the transverse direction and the others along the worldvolume of the brane, respectively. This could provide a new deformation of (2,0) and little string field theories. Finally, we study the Wilson loops using the dual gravity descriptions. |
hep-th/9202083 | null | Makoto Sakamoto and Masayoshi Tabuse | The General Class of String Theories on Orbifolds | 35 pages | null | null | null | hep-th | null | We investigate the following three consistency conditions for constructing
string theories on orbifolds: i) the invariance of the energy-momentum tensors
under twist operators, ii) the duality of amplitudes and iii) modular
invariance of partition functions. It is shown that this investigation makes it
possible to obtain the general class of consistent orbifold models, which
includes a new class of orbifold models.
| [
{
"created": "Tue, 25 Feb 1992 08:17:31 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 1992 10:17:08 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Sakamoto",
"Makoto",
""
],
[
"Tabuse",
"Masayoshi",
""
]
] | We investigate the following three consistency conditions for constructing string theories on orbifolds: i) the invariance of the energy-momentum tensors under twist operators, ii) the duality of amplitudes and iii) modular invariance of partition functions. It is shown that this investigation makes it possible to obtain the general class of consistent orbifold models, which includes a new class of orbifold models. |
2401.01417 | Suman Das | Souvik Banerjee, Suman Das, Moritz Dorband, Arnab Kundu | Brickwall, Normal Modes and Emerging Thermality | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, we demonstrate how black hole quasi-normal modes can emerge
from a Dirichlet brickwall model normal modes. We consider a probe scalar field
in a BTZ geometry with a Dirichlet brickwall and demonstrate that as the wall
approaches the event horizon, the corresponding poles in the retarded
correlator become dense and yield an effective branch-cut. The associated
discontinuity of the correlator carries the information of the black hole
quasi-normal modes. We further demonstrate that a non-vanishing angular
momentum non-perturbatively enhances the pole-condensing. We hypothesize that
it is also related to quantum chaotic features of the corresponding spectral
form factor, which has been observed earlier. Finally, we discuss the
underlying algebraic justification of this approximate thermalization in terms
of the trace of the algebra.
| [
{
"created": "Tue, 2 Jan 2024 20:00:36 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Mar 2024 06:33:10 GMT",
"version": "v2"
}
] | 2024-03-12 | [
[
"Banerjee",
"Souvik",
""
],
[
"Das",
"Suman",
""
],
[
"Dorband",
"Moritz",
""
],
[
"Kundu",
"Arnab",
""
]
] | In this article, we demonstrate how black hole quasi-normal modes can emerge from a Dirichlet brickwall model normal modes. We consider a probe scalar field in a BTZ geometry with a Dirichlet brickwall and demonstrate that as the wall approaches the event horizon, the corresponding poles in the retarded correlator become dense and yield an effective branch-cut. The associated discontinuity of the correlator carries the information of the black hole quasi-normal modes. We further demonstrate that a non-vanishing angular momentum non-perturbatively enhances the pole-condensing. We hypothesize that it is also related to quantum chaotic features of the corresponding spectral form factor, which has been observed earlier. Finally, we discuss the underlying algebraic justification of this approximate thermalization in terms of the trace of the algebra. |
2404.07621 | Janos Balog | Zolt\'an Bajnok, J\'anos Balog and Istv\'an Vona | Wiener-Hopf solution of the free energy TBA problem and instanton
sectors in the O(3) sigma model | 76 pages, 7 figures | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Perturbation theory in asymptotically free quantum field theories is
asymptotic. The factorially growing perturbative coefficients carry information
about non-perturbative corrections, which can be related to renormalons and
instantons. Using the Wiener-Hopf technique we determine the full analytic
solution for the free energy density in the two dimensional $O(N)$ sigma
models. For $N>3$ there are no instantons, and we found that the perturbative
series carries all the information about the non-perturbative corrections.
However, in the $O(3)$ case, we identify several non-perturbative sectors that
are not related to the asymptotics of the perturbative series. The number of
sectors depends on the observables: for the ground-state energy density we
identify three sectors, which we attribute to instantons. For the free energy
density in the running perturbative coupling we found infinitely many sectors.
| [
{
"created": "Thu, 11 Apr 2024 10:15:42 GMT",
"version": "v1"
}
] | 2024-04-12 | [
[
"Bajnok",
"Zoltán",
""
],
[
"Balog",
"János",
""
],
[
"Vona",
"István",
""
]
] | Perturbation theory in asymptotically free quantum field theories is asymptotic. The factorially growing perturbative coefficients carry information about non-perturbative corrections, which can be related to renormalons and instantons. Using the Wiener-Hopf technique we determine the full analytic solution for the free energy density in the two dimensional $O(N)$ sigma models. For $N>3$ there are no instantons, and we found that the perturbative series carries all the information about the non-perturbative corrections. However, in the $O(3)$ case, we identify several non-perturbative sectors that are not related to the asymptotics of the perturbative series. The number of sectors depends on the observables: for the ground-state energy density we identify three sectors, which we attribute to instantons. For the free energy density in the running perturbative coupling we found infinitely many sectors. |
1212.3335 | Daniel Grumiller | Mario Bertin, Sabine Ertl, Hossein Ghorbani, Daniel Grumiller, Niklas
Johansson and Dmitri Vassilevich | Lobachevsky holography in conformal Chern-Simons gravity | 24 pp, v2: expanded footnote 1; added Killing vectors (2.8), (2.9);
added subsection 5.4 on Lobachevsky/field theory map | JHEP 06 (2013) 015 | 10.1007/JHEP06(2013)015 | TUW-12-25 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose Lobachevsky boundary conditions that lead to asymptotically H^2xR
solutions. As an example we check their consistency in conformal Chern-Simons
gravity. The canonical charges are quadratic in the fields, but nonetheless
integrable, conserved and finite. The asymptotic symmetry algebra consists of
one copy of the Virasoro algebra with central charge c=24k, where k is the
Chern-Simons level, and an affine u(1). We find also regular non-perturbative
states and show that none of them corresponds to black hole solutions. We
attempt to calculate the one-loop partition function, find a remarkable
separation between bulk and boundary modes, but conclude that the one-loop
partition function is ill-defined due to an infinite degeneracy. We comment on
the most likely resolution of this degeneracy.
| [
{
"created": "Thu, 13 Dec 2012 21:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 2013 15:38:30 GMT",
"version": "v2"
}
] | 2013-06-18 | [
[
"Bertin",
"Mario",
""
],
[
"Ertl",
"Sabine",
""
],
[
"Ghorbani",
"Hossein",
""
],
[
"Grumiller",
"Daniel",
""
],
[
"Johansson",
"Niklas",
""
],
[
"Vassilevich",
"Dmitri",
""
]
] | We propose Lobachevsky boundary conditions that lead to asymptotically H^2xR solutions. As an example we check their consistency in conformal Chern-Simons gravity. The canonical charges are quadratic in the fields, but nonetheless integrable, conserved and finite. The asymptotic symmetry algebra consists of one copy of the Virasoro algebra with central charge c=24k, where k is the Chern-Simons level, and an affine u(1). We find also regular non-perturbative states and show that none of them corresponds to black hole solutions. We attempt to calculate the one-loop partition function, find a remarkable separation between bulk and boundary modes, but conclude that the one-loop partition function is ill-defined due to an infinite degeneracy. We comment on the most likely resolution of this degeneracy. |
1608.00328 | Rong-Xin Miao | Chong-Sun Chu, Rong-Xin Miao | Universality in the Shape Dependence of Holographic R\'enyi Entropy for
General Higher Derivative Gravity | 32 pages,0 figures, references added, appendix added, accepted for
publication in JHEP | null | 10.1007/JHEP12(2016)036 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider higher derivative gravity and obtain universal relations for the
shape coefficients $(f_a, f_b, f_c)$ of the shape dependent universal part of
the R\'enyi entropy for four dimensional CFTs in terms of the parameters $(c,
t_2, t_4)$ of two-point and three-point functions of stress tensors. As a
consistency check, these shape coefficients $f_a$ and $f_c$ satisfy the
differential relation as derived previously for the R\'enyi entropy.
Interestingly, these holographic relations also apply to weakly coupled
conformal field theories such as theories of free fermions and vectors but are
violated by theories of free scalars. The mismatch of $f_a$ for scalars has
been observed in the literature and is due to certain delicate boundary
contributions to the modular Hamiltonian. Interestingly, we find a combination
of our holographic relations which are satisfied by all free CFTs including
scalars. We conjecture that this combined relation is universal for general
CFTs in four dimensional spacetime. Finally, we find there are similar
universal laws for holographic R\'enyi entropy in general dimensions.
| [
{
"created": "Mon, 1 Aug 2016 05:56:05 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Aug 2016 09:32:15 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Dec 2016 13:48:16 GMT",
"version": "v3"
}
] | 2017-01-04 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Miao",
"Rong-Xin",
""
]
] | We consider higher derivative gravity and obtain universal relations for the shape coefficients $(f_a, f_b, f_c)$ of the shape dependent universal part of the R\'enyi entropy for four dimensional CFTs in terms of the parameters $(c, t_2, t_4)$ of two-point and three-point functions of stress tensors. As a consistency check, these shape coefficients $f_a$ and $f_c$ satisfy the differential relation as derived previously for the R\'enyi entropy. Interestingly, these holographic relations also apply to weakly coupled conformal field theories such as theories of free fermions and vectors but are violated by theories of free scalars. The mismatch of $f_a$ for scalars has been observed in the literature and is due to certain delicate boundary contributions to the modular Hamiltonian. Interestingly, we find a combination of our holographic relations which are satisfied by all free CFTs including scalars. We conjecture that this combined relation is universal for general CFTs in four dimensional spacetime. Finally, we find there are similar universal laws for holographic R\'enyi entropy in general dimensions. |
1508.02554 | Timothy Adamo | Tim Adamo | Gravity with a cosmological constant from rational curves | 19 pages, no figures. v2: minor improvements, published version | JHEP 1511: 098, 2015 | 10.1007/JHEP11(2015)098 | DAMTP-2015-43 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a new formula for all tree-level correlators of boundary field
insertions in gauged N=8 supergravity in AdS_4; this is an analog of the
tree-level S-matrix in anti-de Sitter space. The formula is written in terms of
rational maps from the Riemann sphere to twistor space, with no reference to
bulk perturbation theory. It is polynomial in the cosmological constant, and
equal to the classical scattering amplitudes of supergravity in the flat space
limit. The formula is manifestly supersymmetric, independent of gauge choices
on twistor space, and equivalent to expressions computed via perturbation
theory at 3-point MHV-bar and n-point MHV. We also show that the formula
factorizes and obeys BCFW recursion in twistor space.
| [
{
"created": "Tue, 11 Aug 2015 11:05:50 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 2015 15:53:30 GMT",
"version": "v2"
}
] | 2016-01-20 | [
[
"Adamo",
"Tim",
""
]
] | We give a new formula for all tree-level correlators of boundary field insertions in gauged N=8 supergravity in AdS_4; this is an analog of the tree-level S-matrix in anti-de Sitter space. The formula is written in terms of rational maps from the Riemann sphere to twistor space, with no reference to bulk perturbation theory. It is polynomial in the cosmological constant, and equal to the classical scattering amplitudes of supergravity in the flat space limit. The formula is manifestly supersymmetric, independent of gauge choices on twistor space, and equivalent to expressions computed via perturbation theory at 3-point MHV-bar and n-point MHV. We also show that the formula factorizes and obeys BCFW recursion in twistor space. |
hep-th/9804127 | Parthasarathi Mitra | A. Ghosh (CERN) and P. Mitra (Saha Inst) | Reply to comment by Zaslavskii on extremal black hole action | 1 page, REVTeX, adapted from reply in PRL 80, 3413 (1998) | null | null | null | hep-th gr-qc | null | It is shown that Zaslavskii's misunderstanding of our published proof of the
irrelevance of all extremal black hole configurations (whether with equal
charge and mass or not) rests on his refusal to see the essential difference
between the correct inequality governing extremal and non-extremal actions and
his incorrect version.
| [
{
"created": "Mon, 20 Apr 1998 06:06:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ghosh",
"A.",
"",
"CERN"
],
[
"Mitra",
"P.",
"",
"Saha Inst"
]
] | It is shown that Zaslavskii's misunderstanding of our published proof of the irrelevance of all extremal black hole configurations (whether with equal charge and mass or not) rests on his refusal to see the essential difference between the correct inequality governing extremal and non-extremal actions and his incorrect version. |
hep-th/0210303 | Gary T. Horowitz | Henriette Elvang and Gary T. Horowitz | When Black Holes Meet Kaluza-Klein Bubbles | 23 pages, 5 figures, v2: few comments on stability modified | Phys.Rev. D67 (2003) 044015 | 10.1103/PhysRevD.67.044015 | null | hep-th gr-qc | null | We explore the physical consequences of a recently discovered class of exact
solutions to five dimensional Kaluza-Klein theory. We find a number of
surprising features including: (1) In the presence of a Kaluza-Klein bubble,
there are arbitrarily large black holes with topology S^3. (2) In the presence
of a black hole or a black string, there are expanding bubbles (with de Sitter
geometry) which never reach null infinity. (3) A bubble can hold two black
holes of arbitrary size in static equilibrium. In particular, two large black
holes can be close together without merging to form a single black hole.
| [
{
"created": "Thu, 31 Oct 2002 18:56:53 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Nov 2002 23:44:47 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Elvang",
"Henriette",
""
],
[
"Horowitz",
"Gary T.",
""
]
] | We explore the physical consequences of a recently discovered class of exact solutions to five dimensional Kaluza-Klein theory. We find a number of surprising features including: (1) In the presence of a Kaluza-Klein bubble, there are arbitrarily large black holes with topology S^3. (2) In the presence of a black hole or a black string, there are expanding bubbles (with de Sitter geometry) which never reach null infinity. (3) A bubble can hold two black holes of arbitrary size in static equilibrium. In particular, two large black holes can be close together without merging to form a single black hole. |
0805.3361 | Thomas Grimm | Thomas W. Grimm and Albrecht Klemm | U(1) Mediation of Flux Supersymmetry Breaking | 63 pages, 4 figures | JHEP 0810:077,2008 | 10.1088/1126-6708/2008/10/077 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the mediation of supersymmetry breaking triggered by background
fluxes in Type II string compactifications with N=1 supersymmetry. The
mediation arises due to an U(1) vector multiplet coupling to both a hidden
supersymmetry breaking flux sector and a visible D-brane sector. The required
internal manifolds can be constructed by non-Kaehler resolutions of singular
Calabi-Yau manifolds. The effective action encoding the U(1) coupling is then
determined in terms of the global topological properties of the internal space.
We investigate suitable local geometries for the hidden and visible sector in
detail. This includes a systematic study of orientifold symmetries of del Pezzo
surfaces realized in compact geometries after geometric transition. We
construct compact examples admitting the key properties to realize flux
supersymmetry breaking and U(1) mediation. Their toric realization allows us to
analyze the geometry of curve classes and confirm the topological connection
between the hidden and visible sector.
| [
{
"created": "Thu, 22 May 2008 19:25:17 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jun 2008 12:46:30 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Klemm",
"Albrecht",
""
]
] | We study the mediation of supersymmetry breaking triggered by background fluxes in Type II string compactifications with N=1 supersymmetry. The mediation arises due to an U(1) vector multiplet coupling to both a hidden supersymmetry breaking flux sector and a visible D-brane sector. The required internal manifolds can be constructed by non-Kaehler resolutions of singular Calabi-Yau manifolds. The effective action encoding the U(1) coupling is then determined in terms of the global topological properties of the internal space. We investigate suitable local geometries for the hidden and visible sector in detail. This includes a systematic study of orientifold symmetries of del Pezzo surfaces realized in compact geometries after geometric transition. We construct compact examples admitting the key properties to realize flux supersymmetry breaking and U(1) mediation. Their toric realization allows us to analyze the geometry of curve classes and confirm the topological connection between the hidden and visible sector. |
1502.02998 | G. Alencar | G. Alencar, R. R. Landim, C. R. Muniz and R.N. Costa Filho | Non-minimal couplings in Randall-Sundrum Scenarios | References added, typos corrected, 5 pages | Phys. Rev. D 92, 066006 (2015) | 10.1103/PhysRevD.92.066006 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we propose a new way of obtaining four dimensional gauge
invariant $U(n)$ gauge field from a bulk action. The results are valid for both
Randall-Sundrum scenarios and are obtained without the introduction of other
fields or new degrees of freedom. The model is based only in non-minimal
couplings with the gravity field. We show that two non-minimal couplings are
necessary, one with the field strength and the other with a mass term. Despite
the loosing of five dimensional gauge invariance by the mass term a massless
gauge field is obtained over the brane. To obtain this, we need of a fine
tuning of the two parameters introduced through the couplings. The fine tuning
is obtained by imposing the boundary conditions and to guarantee non-abelian
gauge invariance in four dimensions. With this we are left with no free
parameters and the model is completely determined. The model also provides
analytical solutions to the linearized equations for the zero mode and for a
general warp factor.
| [
{
"created": "Tue, 10 Feb 2015 17:19:35 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 2015 14:25:46 GMT",
"version": "v2"
}
] | 2015-09-30 | [
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
],
[
"Muniz",
"C. R.",
""
],
[
"Filho",
"R. N. Costa",
""
]
] | In this paper we propose a new way of obtaining four dimensional gauge invariant $U(n)$ gauge field from a bulk action. The results are valid for both Randall-Sundrum scenarios and are obtained without the introduction of other fields or new degrees of freedom. The model is based only in non-minimal couplings with the gravity field. We show that two non-minimal couplings are necessary, one with the field strength and the other with a mass term. Despite the loosing of five dimensional gauge invariance by the mass term a massless gauge field is obtained over the brane. To obtain this, we need of a fine tuning of the two parameters introduced through the couplings. The fine tuning is obtained by imposing the boundary conditions and to guarantee non-abelian gauge invariance in four dimensions. With this we are left with no free parameters and the model is completely determined. The model also provides analytical solutions to the linearized equations for the zero mode and for a general warp factor. |
1810.10672 | Fernando Tadeu Caldeira Brandt | F. T. Brandt, J. Frenkel and D. G. C. McKeon | First order formulation of the Yang-Mills theory in a background field | Corrected typos; 14 pages, two figures. A new appendix has been
added. Published in Annals of Physics | null | 10.1016/j.aop.2019.167932 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The background gauge renormalization of the first order formulation of the
Yang-Mills theory is studied by using the BRST identities. Together with the
background symmetry, these identities allow for an iterative proof of
renormalizability to all orders in perturbation theory. However, due to the
fact that certain improper diagrams which violate the BRST symmetry should be
removed, the renormalizability must be deduced indirectly. The recursive method
involves rescalings and mixings of the fields, which lead to a renormalized
effective action for the background field theory.
| [
{
"created": "Thu, 25 Oct 2018 01:05:09 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2019 13:36:26 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Aug 2019 16:46:55 GMT",
"version": "v3"
},
{
"created": "Thu, 15 Aug 2019 11:49:57 GMT",
"version": "v4"
}
] | 2019-08-22 | [
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] | The background gauge renormalization of the first order formulation of the Yang-Mills theory is studied by using the BRST identities. Together with the background symmetry, these identities allow for an iterative proof of renormalizability to all orders in perturbation theory. However, due to the fact that certain improper diagrams which violate the BRST symmetry should be removed, the renormalizability must be deduced indirectly. The recursive method involves rescalings and mixings of the fields, which lead to a renormalized effective action for the background field theory. |
hep-th/0108190 | Robert Brandenberger | Stephon Alexander, Robert Brandenberger and Joao Magueijo (Imperial
College and Brown University) | Non-Commutative Inflation | 4 pages, 3 figures | Phys.Rev. D67 (2003) 081301 | 10.1103/PhysRevD.67.081301 | null | hep-th astro-ph gr-qc hep-ph | null | We show how a radiation dominated universe subject to space-time quantization
may give rise to inflation as the radiation temperature exceeds the Planck
temperature. We consider dispersion relations with a maximal momentum (i.e. a
mimimum Compton wavelength, or quantum of space), noting that some of these
lead to a trans-Planckian branch where energy increases with decreasing
momenta. This feature translates into negative radiation pressure and, in
well-defined circumstances, into an inflationary equation of state. We thus
realize the inflationary scenario without the aid of an inflaton field. As the
radiation cools down below the Planck temperature, inflation gracefully exits
into a standard Big Bang universe, dispensing with a period of reheating.
Thermal fluctuations in the radiation bath will in this case generate curvature
fluctuations on cosmological scales whose amplitude and spectrum can be tuned
to agree with observations.
| [
{
"created": "Sun, 26 Aug 2001 00:34:52 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Alexander",
"Stephon",
"",
"Imperial\n College and Brown University"
],
[
"Brandenberger",
"Robert",
"",
"Imperial\n College and Brown University"
],
[
"Magueijo",
"Joao",
"",
"Imperial\n College and Brown University"
]
] | We show how a radiation dominated universe subject to space-time quantization may give rise to inflation as the radiation temperature exceeds the Planck temperature. We consider dispersion relations with a maximal momentum (i.e. a mimimum Compton wavelength, or quantum of space), noting that some of these lead to a trans-Planckian branch where energy increases with decreasing momenta. This feature translates into negative radiation pressure and, in well-defined circumstances, into an inflationary equation of state. We thus realize the inflationary scenario without the aid of an inflaton field. As the radiation cools down below the Planck temperature, inflation gracefully exits into a standard Big Bang universe, dispensing with a period of reheating. Thermal fluctuations in the radiation bath will in this case generate curvature fluctuations on cosmological scales whose amplitude and spectrum can be tuned to agree with observations. |
hep-th/0401209 | Barak Kol | Amit Giveon, Barak Kol, Amos Ori and Amit Sever | On the Resolution of the Time-Like Singularities in Reissner-Nordstrom
and Negative-Mass Schwarzschild | 47 pages, 5 figures. v2: See end of introduction for an important
note added | JHEP 0408 (2004) 014 | 10.1088/1126-6708/2004/08/014 | null | hep-th gr-qc | null | Certain time-like singularities are shown to be resolved already in classical
General Relativity once one passes from particle probes to scalar waves. The
time evolution can be defined uniquely and some general conditions for that are
formulated. The Reissner-Nordstrom singularity allows for communication through
the singularity and can be termed "beam splitter" since the transmission
probability of a suitably prepared high energy wave packet is 25%. The high
frequency dependence of the cross section is w^{-4/3}. However, smooth
geometries arbitrarily close to the singular one require a finite amount of
negative energy matter. The negative-mass Schwarzschild has a qualitatively
different resolution interpreted to be fully reflecting. These 4d results are
similar to the 2d black hole and are generalized to an arbitrary dimension d>4.
| [
{
"created": "Tue, 27 Jan 2004 15:59:44 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2004 18:43:52 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Giveon",
"Amit",
""
],
[
"Kol",
"Barak",
""
],
[
"Ori",
"Amos",
""
],
[
"Sever",
"Amit",
""
]
] | Certain time-like singularities are shown to be resolved already in classical General Relativity once one passes from particle probes to scalar waves. The time evolution can be defined uniquely and some general conditions for that are formulated. The Reissner-Nordstrom singularity allows for communication through the singularity and can be termed "beam splitter" since the transmission probability of a suitably prepared high energy wave packet is 25%. The high frequency dependence of the cross section is w^{-4/3}. However, smooth geometries arbitrarily close to the singular one require a finite amount of negative energy matter. The negative-mass Schwarzschild has a qualitatively different resolution interpreted to be fully reflecting. These 4d results are similar to the 2d black hole and are generalized to an arbitrary dimension d>4. |
2212.09549 | Giovanni Galati | Andrea Antinucci, Christian Copetti, Giovanni Galati and Giovanni Rizi | "Zoology" of non-invertible duality defects: the view from class
$\mathcal{S}$ | V2: minor improvements and typos fixed, matches journal version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study generalizations of the non-invertible duality defects present in
$\mathcal{N} = 4$ SU(N) SYM by studying theories with larger duality groups. We
focus on 4d $\mathcal{N} = 2$ theories of class $\mathcal{S}$ obtained by the
dimensional reduction of the 6d $\mathcal{N} = (2, 0)$ theory of $A_{N-1}$ type
on a Riemann surface $\Sigma_g$ without punctures. We discuss their
non-invertible duality symmetries and provide two ways to compute their fusion
algebra: either using discrete topological manipulations or a 5d TQFT
description. We also introduce the concept of "rank" of a non-invertible
duality symmetry and show how it can be used to (almost) completely fix the
fusion algebra with little computational effort.
| [
{
"created": "Mon, 19 Dec 2022 15:40:23 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 2024 09:37:30 GMT",
"version": "v2"
}
] | 2024-05-20 | [
[
"Antinucci",
"Andrea",
""
],
[
"Copetti",
"Christian",
""
],
[
"Galati",
"Giovanni",
""
],
[
"Rizi",
"Giovanni",
""
]
] | We study generalizations of the non-invertible duality defects present in $\mathcal{N} = 4$ SU(N) SYM by studying theories with larger duality groups. We focus on 4d $\mathcal{N} = 2$ theories of class $\mathcal{S}$ obtained by the dimensional reduction of the 6d $\mathcal{N} = (2, 0)$ theory of $A_{N-1}$ type on a Riemann surface $\Sigma_g$ without punctures. We discuss their non-invertible duality symmetries and provide two ways to compute their fusion algebra: either using discrete topological manipulations or a 5d TQFT description. We also introduce the concept of "rank" of a non-invertible duality symmetry and show how it can be used to (almost) completely fix the fusion algebra with little computational effort. |
hep-th/0212252 | Iosif L. Bena | Iosif Bena and Calin Ciocarlie | Exact N=2 Supergravity Solutions With Polarized Branes | 22 pages. v2 - references added, details clarified | Phys.Rev. D70 (2004) 086005 | 10.1103/PhysRevD.70.086005 | null | hep-th | null | We construct several classes of exact supersymmetric supergravity solutions
describing D4 branes polarized into NS5 branes and F-strings polarized into D2
branes. These setups belong to the same universality class as the perturbative
solutions used by Polchinski and Strassler to describe the string dual of N=1*
theories. The D4-NS5 setup can be interpreted as a string dual to a confining
4+1 dimensional theory with 8 supercharges, whose properties we discuss. By
T-duality, our solutions give Type IIB supersymmetric backgrounds with
polarized branes.
| [
{
"created": "Thu, 19 Dec 2002 20:56:03 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Dec 2002 00:50:27 GMT",
"version": "v2"
},
{
"created": "Sat, 1 Feb 2003 02:09:55 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Bena",
"Iosif",
""
],
[
"Ciocarlie",
"Calin",
""
]
] | We construct several classes of exact supersymmetric supergravity solutions describing D4 branes polarized into NS5 branes and F-strings polarized into D2 branes. These setups belong to the same universality class as the perturbative solutions used by Polchinski and Strassler to describe the string dual of N=1* theories. The D4-NS5 setup can be interpreted as a string dual to a confining 4+1 dimensional theory with 8 supercharges, whose properties we discuss. By T-duality, our solutions give Type IIB supersymmetric backgrounds with polarized branes. |
hep-th/9912132 | Konstadinos Sfetsos | I. Bakas, A. Brandhuber and K. Sfetsos | Domain walls of gauged supergravity, M-branes, and algebraic curves | 46 pages, latex. v2: typos corrected and some references added. v3:
minor corrections and improvements, references added, to appear in ATMP | Adv.Theor.Math.Phys.3:1657-1719,1999 | null | CERN-TH/99-366, NEIP-99-021 | hep-th gr-qc | null | We provide an algebraic classification of all supersymmetric domain wall
solutions of maximal gauged supergravity in four and seven dimensions, in the
presence of non-trivial scalar fields in the coset SL(8,R)/SO(8) and
SL(5,R)/SO(5) respectively. These solutions satisfy first-order equations,
which can be obtained using the method of Bogomol'nyi. From an
eleven-dimensional point of view they correspond to various continuous
distributions of M2- and M5-branes. The Christoffel-Schwarz transformation and
the uniformization of the associated algebraic curves are used in order to
determine the Schrodinger potential for the scalar and graviton fluctuations on
the corresponding backgrounds. In many cases we explicitly solve the
Schrodinger problem by employing techniques of supersymmetric quantum
mechanics. The analysis is parallel to the construction of domain walls of
five-dimensional gauged supergravity, with scalar fields in the coset
SL(6,R)/SO(6), using algebraic curves or continuous distributions of D3-branes
in ten dimensions. In seven dimensions, in particular, our classification of
domain walls is complete for the full scalar sector of gauged supergravity. We
also discuss some general aspects of D-dimensional gravity coupled to scalar
fields in the coset SL(N,R)/SO(N).
| [
{
"created": "Wed, 15 Dec 1999 17:18:44 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jan 2000 10:13:22 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Jul 2000 10:54:53 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Bakas",
"I.",
""
],
[
"Brandhuber",
"A.",
""
],
[
"Sfetsos",
"K.",
""
]
] | We provide an algebraic classification of all supersymmetric domain wall solutions of maximal gauged supergravity in four and seven dimensions, in the presence of non-trivial scalar fields in the coset SL(8,R)/SO(8) and SL(5,R)/SO(5) respectively. These solutions satisfy first-order equations, which can be obtained using the method of Bogomol'nyi. From an eleven-dimensional point of view they correspond to various continuous distributions of M2- and M5-branes. The Christoffel-Schwarz transformation and the uniformization of the associated algebraic curves are used in order to determine the Schrodinger potential for the scalar and graviton fluctuations on the corresponding backgrounds. In many cases we explicitly solve the Schrodinger problem by employing techniques of supersymmetric quantum mechanics. The analysis is parallel to the construction of domain walls of five-dimensional gauged supergravity, with scalar fields in the coset SL(6,R)/SO(6), using algebraic curves or continuous distributions of D3-branes in ten dimensions. In seven dimensions, in particular, our classification of domain walls is complete for the full scalar sector of gauged supergravity. We also discuss some general aspects of D-dimensional gravity coupled to scalar fields in the coset SL(N,R)/SO(N). |
hep-th/0305260 | S. weinzierl | Stefan Weinzierl | Algebraic Algorithms in Perturbative Calculations | 20 pages, Proceedings of Les Houches "Frontiers in Number Theory,
Physics and Geometry" | null | null | null | hep-th hep-ph | null | I discuss algorithms for the evaluation of Feynman integrals. These
algorithms are based on Hopf algebras and evaluate the Feynman integral to
(multiple) polylogarithms.
| [
{
"created": "Fri, 30 May 2003 11:33:01 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Weinzierl",
"Stefan",
""
]
] | I discuss algorithms for the evaluation of Feynman integrals. These algorithms are based on Hopf algebras and evaluate the Feynman integral to (multiple) polylogarithms. |
2007.12280 | Carlos A. S. Almeida | F. C. E. Lima and C. A. S. Almeida | Ringlike vortices in a logarithmic generalized Maxwell theory | 15 pages, 6 figures. To appear in Europhysics Letters | null | 10.1209/0295-5075/131/31003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the presence of vortex structures in a Maxwell model with a
logarithmic generalization. This generalization becomes important because it
generates stationary field solutions in models that describe the dynamics of a
scalar field. In this work, we will choose to investigate the dynamics of the
complex scalar field with the gauge field governed by Maxwell term. For this,
we will investigate the Bogomol'nyi equations to describe the static field
configurations. Then, we show numerically that the complex scalar field
solutions that generate minimum energy configurations have internal structures.
Finally, assuming a planar vision, the magnetic field and the density energy
show the interesting feature of the ringlike vortex.
| [
{
"created": "Thu, 23 Jul 2020 22:35:01 GMT",
"version": "v1"
}
] | 2020-12-02 | [
[
"Lima",
"F. C. E.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] | We investigate the presence of vortex structures in a Maxwell model with a logarithmic generalization. This generalization becomes important because it generates stationary field solutions in models that describe the dynamics of a scalar field. In this work, we will choose to investigate the dynamics of the complex scalar field with the gauge field governed by Maxwell term. For this, we will investigate the Bogomol'nyi equations to describe the static field configurations. Then, we show numerically that the complex scalar field solutions that generate minimum energy configurations have internal structures. Finally, assuming a planar vision, the magnetic field and the density energy show the interesting feature of the ringlike vortex. |
1203.5883 | Andreas Gustavsson | Andreas Gustavsson | Deconstructing graviphoton from mass-deformed ABJM | 26 pages | null | 10.1007/JHEP06(2012)174 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Mass-deformed ABJM theory has a maximally supersymmetric fuzzy two-sphere
vacuum solution where the scalar fields are proportional to the TGRVV matrices.
We construct these matrices using Schwinger oscillators. This shows that the
ABJM gauge group that corresponds to the fuzzy two-sphere geometry is
$U(N)\times U(N-1)$. We deconstruct the graviphoton term in the D4 brane
theory. The normalization of this term is fixed by topological reasons. This
gives us the correct normalization of the deconstructed U(1) gauge field and
fixes the Yang -Mills coupling constant to the value which corresponds to M5
brane compactified on $\mb{R}^ {1,2} \times S^3/{\mb{Z}_k}$. The graviphoton
term also enable us to show that the zero mode contributions to the partition
functions for the D4 and the M5 brane agree.
| [
{
"created": "Tue, 27 Mar 2012 07:19:15 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Gustavsson",
"Andreas",
""
]
] | Mass-deformed ABJM theory has a maximally supersymmetric fuzzy two-sphere vacuum solution where the scalar fields are proportional to the TGRVV matrices. We construct these matrices using Schwinger oscillators. This shows that the ABJM gauge group that corresponds to the fuzzy two-sphere geometry is $U(N)\times U(N-1)$. We deconstruct the graviphoton term in the D4 brane theory. The normalization of this term is fixed by topological reasons. This gives us the correct normalization of the deconstructed U(1) gauge field and fixes the Yang -Mills coupling constant to the value which corresponds to M5 brane compactified on $\mb{R}^ {1,2} \times S^3/{\mb{Z}_k}$. The graviphoton term also enable us to show that the zero mode contributions to the partition functions for the D4 and the M5 brane agree. |
1006.0637 | Roberto Auzzi | Roberto Auzzi and Eliezer Rabinovici | On metastable vacua in perturbed N=2 theories | 27 pages, 16 figures; v2: some typos corrected | JHEP 1008:044,2010 | 10.1007/JHEP08(2010)044 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study supersymmetry breaking in metastable vacua on the Coulomb branch of
perturbed N=2 gauge theories, with gauge group SU(2) and different matter
content (N_f=0,2,4). The theory is deformed with a superpotential which is a
cubic polynomial in u=Tr \Phi ^2, where \Phi is the adjoint superfield. The
allowed region of the perturbation parameters in this N=1 theory is plotted as
a function of the moduli space coordinate. In the asymptotically free cases a
significant fine-tuning in the perturbation parameters is needed to achieve
metastable vacua in the weakly coupled region of the moduli space; a lower
degree of fine-tuning is required in the strongly coupled regime. In the
conformal case (N_f=4 fundamentals) we find that also an explicit mass for the
hypermultiplets must be introduced in order to generate metastable vacua. In
the case of N_f=2 fundamentals it is possible to achieve a metastable vacuum
also in the neighborhood of the Argyres-Douglas fixed point (even if a large
degree of fine-tuning is needed in this limit). Direct gauge mediation is
discussed; gaugino masses of the same order of the SUSY-breaking can be
obtained.
| [
{
"created": "Thu, 3 Jun 2010 13:09:03 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 2010 08:52:18 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Auzzi",
"Roberto",
""
],
[
"Rabinovici",
"Eliezer",
""
]
] | We study supersymmetry breaking in metastable vacua on the Coulomb branch of perturbed N=2 gauge theories, with gauge group SU(2) and different matter content (N_f=0,2,4). The theory is deformed with a superpotential which is a cubic polynomial in u=Tr \Phi ^2, where \Phi is the adjoint superfield. The allowed region of the perturbation parameters in this N=1 theory is plotted as a function of the moduli space coordinate. In the asymptotically free cases a significant fine-tuning in the perturbation parameters is needed to achieve metastable vacua in the weakly coupled region of the moduli space; a lower degree of fine-tuning is required in the strongly coupled regime. In the conformal case (N_f=4 fundamentals) we find that also an explicit mass for the hypermultiplets must be introduced in order to generate metastable vacua. In the case of N_f=2 fundamentals it is possible to achieve a metastable vacuum also in the neighborhood of the Argyres-Douglas fixed point (even if a large degree of fine-tuning is needed in this limit). Direct gauge mediation is discussed; gaugino masses of the same order of the SUSY-breaking can be obtained. |
hep-th/9401021 | A. Gorsky | Alexander Gorsky and Nikita Nekrasov | Elliptic Calogero-Moser system from two dimensional current algebra | 8 pages, Tex | null | null | ITEP-NG/1-94,January 1994 | hep-th | null | We show that elliptic Calogero-Moser system and its Lax operator found by
Krichever can be obtained by Hamiltonian reduction from the integrable
Hamiltonian system on the cotangent bundle to the central extension of the
algebra of SL(N,C) currents.Elliptic deformation of Yang-Mills theory is
presented.
| [
{
"created": "Thu, 6 Jan 1994 21:27:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gorsky",
"Alexander",
""
],
[
"Nekrasov",
"Nikita",
""
]
] | We show that elliptic Calogero-Moser system and its Lax operator found by Krichever can be obtained by Hamiltonian reduction from the integrable Hamiltonian system on the cotangent bundle to the central extension of the algebra of SL(N,C) currents.Elliptic deformation of Yang-Mills theory is presented. |
hep-th/9309143 | null | A. Candiello and K. Lechner | Duality in Supergravity Theories | 30 pages of tex, DFPD/93/TH/51 - (to appear in Nucl. Phys. B) | Nucl.Phys. B412 (1994) 479-501 | 10.1016/0550-3213(94)90389-1 | null | hep-th | null | We present a unified treatment in superspace of the two dual formulations of
$D=10$, $N=1$ {\it pure} supergravity based on a strictly super-geometrical
framework: the only fundamental objects are the super Riemann curvature and
torsion, and the related Bianchi identities are sufficient to set the theory on
shell; there is no need to introduce, from the beginning, closed three- or
seven-superforms. This formulation extends also to {\it non minimal} models.
Moreover, in this framework the algebraic analogy between pure super
Yang--Mills theories and pure supergravity in $D=10$ is manifest. As an
additional outcome in the present formulation the supersymmetric partner of the
ABBJ-Lorentz anomaly in pure $D=10$ supergravity can be computed in complete
analogy to the ABBJ-gauge anomaly in supersymmetric Yang--Mills theories in ten
dimensions.
In the same framework we attack the issue of duality in $N=1$, $D=11$
supergravity showing in detail that duality holds at the kinematical level in
superspace while it is broken by the dynamics. We discuss also possible
extensions of this theory which could be related to quantum corrections of the
eleven dimensional membrane.
| [
{
"created": "Wed, 29 Sep 1993 18:10:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Candiello",
"A.",
""
],
[
"Lechner",
"K.",
""
]
] | We present a unified treatment in superspace of the two dual formulations of $D=10$, $N=1$ {\it pure} supergravity based on a strictly super-geometrical framework: the only fundamental objects are the super Riemann curvature and torsion, and the related Bianchi identities are sufficient to set the theory on shell; there is no need to introduce, from the beginning, closed three- or seven-superforms. This formulation extends also to {\it non minimal} models. Moreover, in this framework the algebraic analogy between pure super Yang--Mills theories and pure supergravity in $D=10$ is manifest. As an additional outcome in the present formulation the supersymmetric partner of the ABBJ-Lorentz anomaly in pure $D=10$ supergravity can be computed in complete analogy to the ABBJ-gauge anomaly in supersymmetric Yang--Mills theories in ten dimensions. In the same framework we attack the issue of duality in $N=1$, $D=11$ supergravity showing in detail that duality holds at the kinematical level in superspace while it is broken by the dynamics. We discuss also possible extensions of this theory which could be related to quantum corrections of the eleven dimensional membrane. |
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