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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1109.3154 | Benjamin Basso | B. Basso | An exact slope for AdS/CFT | 6 pages, 2 figures; comments and references added, misprints
corrected | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a conjecture for the small spin limit of the minimal scaling
dimension of Wilson operators in the sl(2) sector of the planar N=4
Super-Yang-Mills theory. The expression is given in closed form as a function
of the 't Hooft coupling and twist of the operator. The formula should stand as
a prediction of the Asymptotic Bethe Ansatz equations for the spectrum of
scaling dimensions and evidence is given at both weak and strong coupling that
it should be exact. In particular, agreement is found with established one-loop
spectroscopy of string energies at strong coupling.
| [
{
"created": "Wed, 14 Sep 2011 18:11:22 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Sep 2011 16:00:10 GMT",
"version": "v2"
}
] | 2011-09-23 | [
[
"Basso",
"B.",
""
]
] | We present a conjecture for the small spin limit of the minimal scaling dimension of Wilson operators in the sl(2) sector of the planar N=4 Super-Yang-Mills theory. The expression is given in closed form as a function of the 't Hooft coupling and twist of the operator. The formula should stand as a prediction of the Asymptotic Bethe Ansatz equations for the spectrum of scaling dimensions and evidence is given at both weak and strong coupling that it should be exact. In particular, agreement is found with established one-loop spectroscopy of string energies at strong coupling. |
1912.06538 | Nissan Itzhaki | Nissan Itzhaki and Amit Giveon | Stringy Information and Black Holes | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that in string theory, due to non-perturbative effects, there are
cases in which two states that semi-classically are completely different, are
in fact the same. One state cannot be excited without exciting the other; they
are two components of the same state in the exact theory. As a result, in some
situations that include black holes, the nature of information in string theory
is dramatically different than in field theory. In particular, each
general-relativity state, that lives in the atmosphere of black fivebranes, is
accompanied with an excitation that lives on folded strings, which fill the
black-hole interior. This is likely related to the way that information is
extracted from black holes in string theory, and we refer to it as stringy
information.
| [
{
"created": "Fri, 13 Dec 2019 14:45:53 GMT",
"version": "v1"
}
] | 2019-12-16 | [
[
"Itzhaki",
"Nissan",
""
],
[
"Giveon",
"Amit",
""
]
] | We show that in string theory, due to non-perturbative effects, there are cases in which two states that semi-classically are completely different, are in fact the same. One state cannot be excited without exciting the other; they are two components of the same state in the exact theory. As a result, in some situations that include black holes, the nature of information in string theory is dramatically different than in field theory. In particular, each general-relativity state, that lives in the atmosphere of black fivebranes, is accompanied with an excitation that lives on folded strings, which fill the black-hole interior. This is likely related to the way that information is extracted from black holes in string theory, and we refer to it as stringy information. |
hep-th/9804141 | Ulf H. Danielsson | Ulf H. Danielsson, Alexios P. Polychronakos | Quarks, monopoles and dyons at large N | 12 pages, 3 figures | Phys.Lett. B434 (1998) 294-302 | 10.1016/S0370-2693(98)00700-X | UUITP-2/98 | hep-th | null | We study a system of external particles of various charges in N =4 super
Yang-Mills in the large N limit at finite temperature. We demonstrate that at
high enough temperature partial or complete screening of the particles can
occur. At zero temperature the total electric or magnetic charge cannot be
screened, while higher multipole moments of these charges can be screened. The
specific case of a quark, a monopole and a dyon is worked out and the above
properties are verified. We also discuss the free energy of isolated particles
and show that their entropy is independent of the temperature.
| [
{
"created": "Tue, 21 Apr 1998 14:36:08 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Danielsson",
"Ulf H.",
""
],
[
"Polychronakos",
"Alexios P.",
""
]
] | We study a system of external particles of various charges in N =4 super Yang-Mills in the large N limit at finite temperature. We demonstrate that at high enough temperature partial or complete screening of the particles can occur. At zero temperature the total electric or magnetic charge cannot be screened, while higher multipole moments of these charges can be screened. The specific case of a quark, a monopole and a dyon is worked out and the above properties are verified. We also discuss the free energy of isolated particles and show that their entropy is independent of the temperature. |
1011.6158 | Mohsen Alishahiha | Amin Akhavan, Mohsen Alishahiha | P-Wave Holographic Insulator/Superconductor Phase Transition | Latex,18 pages,7 figures, v2: Typos correction, v3: minor changes
added, and clarifications made | Phys.Rev.D83:086003,2011 | 10.1103/PhysRevD.83.086003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using a five dimensional AdS soliton in an Einstein-Yang-Mills theory with
SU(2) gauge group we study p-wave holographic insulator/superconductor phase
transition. To explore the phase structure of the model we consider the system
in the probe limit as well as fully back reacted solutions. We will also study
zero temperature limit of the p-wave holographic superconductor in four
dimensions.
| [
{
"created": "Mon, 29 Nov 2010 08:58:34 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Dec 2010 15:15:56 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Mar 2011 05:52:35 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Akhavan",
"Amin",
""
],
[
"Alishahiha",
"Mohsen",
""
]
] | Using a five dimensional AdS soliton in an Einstein-Yang-Mills theory with SU(2) gauge group we study p-wave holographic insulator/superconductor phase transition. To explore the phase structure of the model we consider the system in the probe limit as well as fully back reacted solutions. We will also study zero temperature limit of the p-wave holographic superconductor in four dimensions. |
hep-th/0404158 | Alan Knapman | Alan Knapman and David J. Toms | Non-constant ground states for symmetry-breaking fields in brane world
models | 3 pages, 2 figures | Phys.Lett. B594 (2004) 213-217 | 10.1016/j.physletb.2004.05.017 | null | hep-th gr-qc hep-ph | null | We obtain an approximate analytical solution for the ground state of a bulk
scalar field with a double-well potential in the Randall-Sundrum brane world
background, in a situation where the boundary conditions rule out a constant
field configuration except for the zero solution. The stability of the zero
solution is determined by the brane separation. We find our approximation near
the critical separation at which the zero solution becomes unstable to small
perturbations.
| [
{
"created": "Wed, 21 Apr 2004 15:06:52 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Knapman",
"Alan",
""
],
[
"Toms",
"David J.",
""
]
] | We obtain an approximate analytical solution for the ground state of a bulk scalar field with a double-well potential in the Randall-Sundrum brane world background, in a situation where the boundary conditions rule out a constant field configuration except for the zero solution. The stability of the zero solution is determined by the brane separation. We find our approximation near the critical separation at which the zero solution becomes unstable to small perturbations. |
0811.4195 | Adam Ritz | Adam Ritz, John Ward | Weyl corrections to holographic conductivity | 15 pages, v2: references added | Phys.Rev.D79:066003,2009 | 10.1103/PhysRevD.79.066003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For conformal field theories which admit a dual gravitational description in
anti-de Sitter space, electrical transport properties, such as conductivity and
charge diffusion, are determined by the dynamics of a U(1) gauge field in the
bulk and thus obey universality relations at the classical level due to the
uniqueness of the Maxwell action. We analyze corrections to these transport
parameters due to higher-dimension operators in the bulk action, beyond the
leading Maxwell term, of which the most significant involves a coupling to the
bulk Weyl tensor. We show that the ensuing corrections to conductivity and the
diffusion constant break the universal relation with the U(1) central charge
observed at leading order, but are nonetheless subject to interesting bounds
associated with causality in the boundary CFT.
| [
{
"created": "Wed, 26 Nov 2008 00:53:33 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2009 23:26:36 GMT",
"version": "v2"
}
] | 2011-06-09 | [
[
"Ritz",
"Adam",
""
],
[
"Ward",
"John",
""
]
] | For conformal field theories which admit a dual gravitational description in anti-de Sitter space, electrical transport properties, such as conductivity and charge diffusion, are determined by the dynamics of a U(1) gauge field in the bulk and thus obey universality relations at the classical level due to the uniqueness of the Maxwell action. We analyze corrections to these transport parameters due to higher-dimension operators in the bulk action, beyond the leading Maxwell term, of which the most significant involves a coupling to the bulk Weyl tensor. We show that the ensuing corrections to conductivity and the diffusion constant break the universal relation with the U(1) central charge observed at leading order, but are nonetheless subject to interesting bounds associated with causality in the boundary CFT. |
1802.05032 | Motahareh Kiamari | Motahareh Kiamari, Sedigheh Deldar | The Interaction of Two Dyons in The Near Field Limit | null | null | 10.1016/j.nuclphysb.2018.02.002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the interaction of two dyons in the region of their cores where they
are non-linear and non-Abelian. We assume the superposition of two dyons as a
solution of the equation of motion. The terms due to the non-linearity of the
strength tensor are considered as the perturbation terms which deforms the
profile function of two individual dyons. As a result, the profile function of
dyons are obtained to be dependent on the polar angle and the spherical
symmetry is lost.
| [
{
"created": "Wed, 14 Feb 2018 10:48:50 GMT",
"version": "v1"
}
] | 2018-03-14 | [
[
"Kiamari",
"Motahareh",
""
],
[
"Deldar",
"Sedigheh",
""
]
] | We study the interaction of two dyons in the region of their cores where they are non-linear and non-Abelian. We assume the superposition of two dyons as a solution of the equation of motion. The terms due to the non-linearity of the strength tensor are considered as the perturbation terms which deforms the profile function of two individual dyons. As a result, the profile function of dyons are obtained to be dependent on the polar angle and the spherical symmetry is lost. |
hep-th/0004050 | Matthias Burkardt | M. Burkardt (NMSU) | Fermions on the Light-Front | 9 pages, to appear in the proceedings of the CSSM Workshop on
Light-Cone QCD and Nonperturbative Hadron Physics, Adelaide, Australia, Dec.
13-21, 1999 | null | null | null | hep-th | null | Issues that are specific for formulating fermions in light-cone quantization
are discussed. Special emphasis is put on the use of parity invariance in the
non-perturbative renormalization of light-cone Hamiltonians.
| [
{
"created": "Fri, 7 Apr 2000 14:42:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Burkardt",
"M.",
"",
"NMSU"
]
] | Issues that are specific for formulating fermions in light-cone quantization are discussed. Special emphasis is put on the use of parity invariance in the non-perturbative renormalization of light-cone Hamiltonians. |
hep-th/0609155 | D. F. Mota | Tomi Koivisto and David F. Mota | Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure
and Cosmological Constraints | 20 pages, 21 figures. New figures and new matterial is included to
the astrophysical constraint sections. Several disscussions were extended and
improved. Abstract rewriten to comply with the new material in the text.
Typos corrected. References added | Phys.Rev.D75:023518,2007 | 10.1103/PhysRevD.75.023518 | null | hep-th astro-ph gr-qc hep-ph | null | We investigate a string-inspired dark energy scenario featuring a scalar
field with a coupling to the Gauss-Bonnet invariant. Such coupling can trigger
the onset of late dark energy domination after a scaling matter era. The
universe may then cross the phantom divide and perhaps also exit from the
acceleration. We discuss extensively the cosmological and astrophysical
implications of the coupled scalar field. Data from the Solar system,
supernovae Ia, cosmic microwave background radiation, large scale structure and
big bang nucleosynthesis is used to constrain the parameters of the model. A
good Newtonian limit may require to fix the coupling. With all the data
combined, there appears to be some tension with the nucleosynthesis bound, and
the baryon oscillation scale seems to strongly disfavor the model. These
possible problems might be overcome in more elaborate models. In addition, the
validity of these constraints in the present context is not strictly
established. Evolution of fluctuations in the scalar field and their impact to
clustering of matter is studied in detail and more model-independently. Small
scale limit is derived for the perturbations and their stability is addressed.
A divergence is found and discussed. The general equations for scalar
perturbations are also presented and solved numerically, confirming that the
Gauss-Bonnet coupling can be compatible with the observed spectrum of cosmic
microwave background radiation as well as the matter power spectrum inferred
from large scale surveys.
| [
{
"created": "Fri, 22 Sep 2006 11:51:08 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 2006 15:52:25 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Koivisto",
"Tomi",
""
],
[
"Mota",
"David F.",
""
]
] | We investigate a string-inspired dark energy scenario featuring a scalar field with a coupling to the Gauss-Bonnet invariant. Such coupling can trigger the onset of late dark energy domination after a scaling matter era. The universe may then cross the phantom divide and perhaps also exit from the acceleration. We discuss extensively the cosmological and astrophysical implications of the coupled scalar field. Data from the Solar system, supernovae Ia, cosmic microwave background radiation, large scale structure and big bang nucleosynthesis is used to constrain the parameters of the model. A good Newtonian limit may require to fix the coupling. With all the data combined, there appears to be some tension with the nucleosynthesis bound, and the baryon oscillation scale seems to strongly disfavor the model. These possible problems might be overcome in more elaborate models. In addition, the validity of these constraints in the present context is not strictly established. Evolution of fluctuations in the scalar field and their impact to clustering of matter is studied in detail and more model-independently. Small scale limit is derived for the perturbations and their stability is addressed. A divergence is found and discussed. The general equations for scalar perturbations are also presented and solved numerically, confirming that the Gauss-Bonnet coupling can be compatible with the observed spectrum of cosmic microwave background radiation as well as the matter power spectrum inferred from large scale surveys. |
1711.00135 | Andr\'e Benevides | Teresa Bautista, Andr\'e Benevides, Atish Dabholkar | Nonlocal Quantum Effective Actions in Weyl-Flat Spacetimes | 24 pages | null | 10.1007/JHEP06(2018)055 | null | hep-th astro-ph.CO astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Virtual massless particles in quantum loops lead to nonlocal effects which
can have interesting consequences, for example, for primordial magnetogenesis
in cosmology or for computing finite $N$ corrections in holography. We describe
how the quantum effective actions summarizing these effects can be computed
efficiently for Weyl-flat metrics by integrating the Weyl anomaly or,
equivalently, the local renormalization group equation. This method relies only
on the local Schwinger-DeWitt expansion of the heat kernel and allows for a
re-summation of leading large logarithms in situations where the Weyl factor
changes by several e-foldings. As an illustration, we obtain the quantum
effective action for the Yang-Mills field coupled to massless matter, and the
self-interacting massless scalar field. Our action reduces to the nonlocal
action obtained using the Barvinsky-Vilkovisky covariant perturbation theory in
the regime $R^{2} \ll \nabla^{2} R $ for a typical curvature scale $R$, but has
a greater range of validity effectively re-summing the covariant perturbation
theory to all orders in curvatures. In particular, it is applicable also in the
opposite regime $R^{2} \gg \nabla^{2} R$, which is often of interest in
cosmology.
| [
{
"created": "Tue, 31 Oct 2017 22:42:36 GMT",
"version": "v1"
}
] | 2018-07-04 | [
[
"Bautista",
"Teresa",
""
],
[
"Benevides",
"André",
""
],
[
"Dabholkar",
"Atish",
""
]
] | Virtual massless particles in quantum loops lead to nonlocal effects which can have interesting consequences, for example, for primordial magnetogenesis in cosmology or for computing finite $N$ corrections in holography. We describe how the quantum effective actions summarizing these effects can be computed efficiently for Weyl-flat metrics by integrating the Weyl anomaly or, equivalently, the local renormalization group equation. This method relies only on the local Schwinger-DeWitt expansion of the heat kernel and allows for a re-summation of leading large logarithms in situations where the Weyl factor changes by several e-foldings. As an illustration, we obtain the quantum effective action for the Yang-Mills field coupled to massless matter, and the self-interacting massless scalar field. Our action reduces to the nonlocal action obtained using the Barvinsky-Vilkovisky covariant perturbation theory in the regime $R^{2} \ll \nabla^{2} R $ for a typical curvature scale $R$, but has a greater range of validity effectively re-summing the covariant perturbation theory to all orders in curvatures. In particular, it is applicable also in the opposite regime $R^{2} \gg \nabla^{2} R$, which is often of interest in cosmology. |
1509.03572 | Badis Ydri Dr | B. Ydri, A. Rouag, K. Ramda | Emergent geometry from random multitrace matrix models | 18 pages, 7 figures (16 graphs), 1 table | Phys. Rev. D 93, 065055 (2016) | 10.1103/PhysRevD.93.065055 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A novel scenario for the emergence of geometry in random multitrace matrix
models of a single hermitian matrix $M$ with unitary $U(N) $ invariance, i.e.
without a kinetic term, is presented. In particular, the dimension of the
emergent geometry is determined from the critical exponents of the
disorder-to-uniform-ordered transition whereas the metric is determined from
the Wigner semicircle law behavior of the eigenvalues distribution of the
matrix $M$. If the uniform ordered phase is not sustained in the phase diagram
then there is no emergent geometry in the multitrace matrix model.
| [
{
"created": "Fri, 11 Sep 2015 15:57:29 GMT",
"version": "v1"
}
] | 2016-04-06 | [
[
"Ydri",
"B.",
""
],
[
"Rouag",
"A.",
""
],
[
"Ramda",
"K.",
""
]
] | A novel scenario for the emergence of geometry in random multitrace matrix models of a single hermitian matrix $M$ with unitary $U(N) $ invariance, i.e. without a kinetic term, is presented. In particular, the dimension of the emergent geometry is determined from the critical exponents of the disorder-to-uniform-ordered transition whereas the metric is determined from the Wigner semicircle law behavior of the eigenvalues distribution of the matrix $M$. If the uniform ordered phase is not sustained in the phase diagram then there is no emergent geometry in the multitrace matrix model. |
hep-th/0004193 | Asmita | A. Harindranath, Asmita Mukherjee and Raghunath Ratabole | Transverse Spin in QCD: Radiative Corrections | 28 pages, revtex, revised version to appear in Phys. Rev. D | null | 10.1103/PhysRevD.63.045006 | null | hep-th hep-ph | null | In this paper we address various issues connected with transverse spin in
light front QCD. The transverse spin operators, in $A^+ = 0$ gauge, expressed
in terms of the dynamical variables are explicitly interaction dependent unlike
the helicity operator which is interaction independent in the topologically
trivial sector of light-front QCD. Although it cannot be separated into an
orbital and a spin part, we have shown that there exists an interesting
decomposition of the transverse spin operator. We discuss the physical
relevance of such a decomposition. We perform a one loop renormalization of the
full transverse spin operator in light-front Hamiltonian perturbation theory
for a dressed quark state. We explicitly show that all the terms dependent on
the center of mass momenta get canceled in the matrix element. The entire
non-vanishing contribution comes from the fermion intrinsic -like part of the
transverse spin operator as a result of cancellation between the gluonic
intrinsic-like and the orbital-like part of the transverse spin operator. We
compare and contrast the calculations of transverse spin and helicity of a
dressed quark in perturbation theory.
| [
{
"created": "Thu, 27 Apr 2000 13:00:47 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Oct 2000 06:24:46 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Harindranath",
"A.",
""
],
[
"Mukherjee",
"Asmita",
""
],
[
"Ratabole",
"Raghunath",
""
]
] | In this paper we address various issues connected with transverse spin in light front QCD. The transverse spin operators, in $A^+ = 0$ gauge, expressed in terms of the dynamical variables are explicitly interaction dependent unlike the helicity operator which is interaction independent in the topologically trivial sector of light-front QCD. Although it cannot be separated into an orbital and a spin part, we have shown that there exists an interesting decomposition of the transverse spin operator. We discuss the physical relevance of such a decomposition. We perform a one loop renormalization of the full transverse spin operator in light-front Hamiltonian perturbation theory for a dressed quark state. We explicitly show that all the terms dependent on the center of mass momenta get canceled in the matrix element. The entire non-vanishing contribution comes from the fermion intrinsic -like part of the transverse spin operator as a result of cancellation between the gluonic intrinsic-like and the orbital-like part of the transverse spin operator. We compare and contrast the calculations of transverse spin and helicity of a dressed quark in perturbation theory. |
1107.3732 | Luca Martucci | Massimo Bianchi, Andres Collinucci and Luca Martucci | Magnetized E3-brane instantons in F-theory | 58 pages, 1 figure. v2: minor changes and typos corrected | JHEP 1112 (2011) 045 | 10.1007/JHEP12(2011)045 | null | hep-th | http://creativecommons.org/licenses/by/3.0/ | We discuss E3-brane instantons in N=1 F-theory compactifications to four
dimensions and clarify the structure of E3-E3 zero modes for general
world-volume fluxes. We consistently incorporate SL(2,Z) monodromies and
highlight the relation between F-theory and perturbative IIB results. We
explicitly show that world-volume fluxes can lift certain fermionic zero-modes,
whose presence would prevent the generation of non-perturbative superpotential
terms, and we discuss in detail the geometric interpretation of the zero-mode
lifting mechanism. We provide a IIB derivation of the index for generation of
superpotential terms and of its modification to include world-volume fluxes,
which reproduces and generalizes available results. We apply our general
analysis to the explicit, though very simple, example of compactification on
P^3 and its orientifold weak-coupling limit. In particular, we provide an
example in which a non-rigid divisor with fluxes contributes to the
superpotential.
| [
{
"created": "Tue, 19 Jul 2011 14:57:19 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2012 10:54:11 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Bianchi",
"Massimo",
""
],
[
"Collinucci",
"Andres",
""
],
[
"Martucci",
"Luca",
""
]
] | We discuss E3-brane instantons in N=1 F-theory compactifications to four dimensions and clarify the structure of E3-E3 zero modes for general world-volume fluxes. We consistently incorporate SL(2,Z) monodromies and highlight the relation between F-theory and perturbative IIB results. We explicitly show that world-volume fluxes can lift certain fermionic zero-modes, whose presence would prevent the generation of non-perturbative superpotential terms, and we discuss in detail the geometric interpretation of the zero-mode lifting mechanism. We provide a IIB derivation of the index for generation of superpotential terms and of its modification to include world-volume fluxes, which reproduces and generalizes available results. We apply our general analysis to the explicit, though very simple, example of compactification on P^3 and its orientifold weak-coupling limit. In particular, we provide an example in which a non-rigid divisor with fluxes contributes to the superpotential. |
1312.1804 | Andrei Smilga | A.V. Smilga | Vacuum structure in 3d supersymmetric gauge theories | 34 pages, 5 figures. Minor corrections. arXiv admin note: text
overlap with arXiv:1308.5951 | Physics-Uspekhi 57 (2) 155-166 (2014) | 10.3367/UFNe.0184.201402e.0163 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on a talk given at the Pomeranchuk memorial conference at ITEP in June
2013, we review the vacuum dynamics in 3d supersymmetric
Yang-Mills-Chern-Simons theories with and without extra matter multiplets. By
analyzing the effective Born-Oppenheimer Hamiltonian in a small spatial box, we
calculate the number of vacuum states (Witten index) and examine their
structure for these theories. The results are identical to those obtained by
other methods.
| [
{
"created": "Fri, 6 Dec 2013 08:54:32 GMT",
"version": "v1"
},
{
"created": "Tue, 13 May 2014 14:13:11 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Smilga",
"A. V.",
""
]
] | Based on a talk given at the Pomeranchuk memorial conference at ITEP in June 2013, we review the vacuum dynamics in 3d supersymmetric Yang-Mills-Chern-Simons theories with and without extra matter multiplets. By analyzing the effective Born-Oppenheimer Hamiltonian in a small spatial box, we calculate the number of vacuum states (Witten index) and examine their structure for these theories. The results are identical to those obtained by other methods. |
hep-th/0202196 | Dumitru Baleanu | D. Baleanu, Y. Guler | Hamilton - Jacobi treatment of front-form Schwinger model | 11 pages, to be published in Int. Journ. Mod. Phys. A | Int.J.Mod.Phys. A17 (2002) 1449 | 10.1142/S0217751X02009795 | null | hep-th | null | The Hamilton-Jacobi formalism was applied to quantize the front-form
Schwinger model. The importance of the surface term is discussed in detail. The
BRST-anti-BRST symmetry was analyzed within Hamilton-Jacobi formalism.
| [
{
"created": "Wed, 27 Feb 2002 19:34:07 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Baleanu",
"D.",
""
],
[
"Guler",
"Y.",
""
]
] | The Hamilton-Jacobi formalism was applied to quantize the front-form Schwinger model. The importance of the surface term is discussed in detail. The BRST-anti-BRST symmetry was analyzed within Hamilton-Jacobi formalism. |
hep-th/0606051 | Alexandros Kehagias | Alex Kehagias | New type scalar fields for cosmic acceleration | 6 pages | null | 10.1088/1742-6596/68/1/012017 | null | hep-th astro-ph gr-qc hep-ph | null | We present a model where a non-conventional scalar field may act like dark
energy leading to cosmic acceleration. The latter is driven by an appropriate
field configuration, which result in an effective cosmological constant. The
potential role of such a scalar in the cosmological constant problem is also
discussed.
| [
{
"created": "Wed, 7 Jun 2006 10:54:23 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Kehagias",
"Alex",
""
]
] | We present a model where a non-conventional scalar field may act like dark energy leading to cosmic acceleration. The latter is driven by an appropriate field configuration, which result in an effective cosmological constant. The potential role of such a scalar in the cosmological constant problem is also discussed. |
hep-th/0611127 | Guang-Liang Li | Guang-Liang Li, Kang-Jie Shi | The algebraic Bethe ansatz for open vertex models | Latex, 35 pages, new content and references are added, minor
revisions are made | J.Stat.Mech.0701:P01018,2007 | 10.1088/1742-5468/2007/01/P01018 | null | hep-th cond-mat.stat-mech math-ph math.MP | null | We present a unified algebraic Bethe ansatz for open vertex models which are
associated with the non-exceptional
$A^{(2)}_{2n},A^{(2)}_{2n-1},B^{(1)}_n,C^{(1)}_n,D^{(1)}_{n}$ Lie algebras.
By the method, we solve these models with the trivial K matrix and find that
our results agree with that obtained by analytical
Bethe ansatz. We also solve the $B^{(1)}_n,C^{(1)}_n,D^{(1)}_{n}$ models with
some non-trivial diagonal K-matrices (one free parameter case) by the algebraic
Bethe ansatz.
| [
{
"created": "Sat, 11 Nov 2006 05:44:06 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Dec 2006 22:04:44 GMT",
"version": "v2"
}
] | 2011-02-16 | [
[
"Li",
"Guang-Liang",
""
],
[
"Shi",
"Kang-Jie",
""
]
] | We present a unified algebraic Bethe ansatz for open vertex models which are associated with the non-exceptional $A^{(2)}_{2n},A^{(2)}_{2n-1},B^{(1)}_n,C^{(1)}_n,D^{(1)}_{n}$ Lie algebras. By the method, we solve these models with the trivial K matrix and find that our results agree with that obtained by analytical Bethe ansatz. We also solve the $B^{(1)}_n,C^{(1)}_n,D^{(1)}_{n}$ models with some non-trivial diagonal K-matrices (one free parameter case) by the algebraic Bethe ansatz. |
1706.05386 | Benjamin Koch | Benjamin Koch, Enrique Mu\~noz, and Ignacio Reyes | Symmetries of relativistic world-lines | 6 pages, Accepted for publication in PRD | Phys. Rev. D 96, 085011 (2017) | 10.1103/PhysRevD.96.085011 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Symmetries are essential for a consistent formulation of many quantum
systems. In this paper we discuss a previously unnoticed symmetry, which is
present for any Lagrangian term that involves $\dot{x}^2$. As a basic model
that incorporates the fundamental symmetries of quantum gravity and string
theory, we consider the Lagrangian action of the relativistic point particle. A
path integral quantization for this seemingly simple system has for long
presented notorious problems. Here we show that those problems are overcome by
taking into account the newly discovered additional symmetry, leading directly
to the exact Klein-Gordon propagator.
| [
{
"created": "Fri, 16 Jun 2017 18:00:15 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jul 2017 01:35:20 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Oct 2017 00:03:34 GMT",
"version": "v3"
}
] | 2017-11-08 | [
[
"Koch",
"Benjamin",
""
],
[
"Muñoz",
"Enrique",
""
],
[
"Reyes",
"Ignacio",
""
]
] | Symmetries are essential for a consistent formulation of many quantum systems. In this paper we discuss a previously unnoticed symmetry, which is present for any Lagrangian term that involves $\dot{x}^2$. As a basic model that incorporates the fundamental symmetries of quantum gravity and string theory, we consider the Lagrangian action of the relativistic point particle. A path integral quantization for this seemingly simple system has for long presented notorious problems. Here we show that those problems are overcome by taking into account the newly discovered additional symmetry, leading directly to the exact Klein-Gordon propagator. |
hep-th/0101160 | Tigran Tchrakian | A. Chakrabarti and D.H. Tchrakian | Gravitation with superposed Gauss--Bonnet terms in higher dimensions:
Black hole metrics and maximal extensions | 13 pages, REVTEX. References and Note Added | Phys.Rev. D65 (2002) 024029 | 10.1103/PhysRevD.65.024029 | null | hep-th gr-qc | null | Our starting point is an iterative construction suited to combinatorics in
arbitarary dimensions d, of totally anisymmetrised p-Riemann 2p-forms (2p\le d)
generalising the (1-)Riemann curvature 2-forms. Superposition of p-Ricci
scalars obtained from the p-Riemann forms defines the maximally Gauss--Bonnet
extended gravitational Lagrangian. Metrics, spherically symmetric in the (d-1)
space dimensions are constructed for the general case. The problem is directly
reduced to solving polynomial equations. For some black hole type metrics the
horizons are obtained by solving polynomial equations. Corresponding Kruskal
type maximal extensions are obtained explicitly in complete generality, as is
also the periodicity of time for Euclidean signature. We show how to include a
cosmological constant and a point charge. Possible further developments and
applications are indicated.
| [
{
"created": "Wed, 24 Jan 2001 16:18:59 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Apr 2001 09:31:56 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Chakrabarti",
"A.",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | Our starting point is an iterative construction suited to combinatorics in arbitarary dimensions d, of totally anisymmetrised p-Riemann 2p-forms (2p\le d) generalising the (1-)Riemann curvature 2-forms. Superposition of p-Ricci scalars obtained from the p-Riemann forms defines the maximally Gauss--Bonnet extended gravitational Lagrangian. Metrics, spherically symmetric in the (d-1) space dimensions are constructed for the general case. The problem is directly reduced to solving polynomial equations. For some black hole type metrics the horizons are obtained by solving polynomial equations. Corresponding Kruskal type maximal extensions are obtained explicitly in complete generality, as is also the periodicity of time for Euclidean signature. We show how to include a cosmological constant and a point charge. Possible further developments and applications are indicated. |
1001.0003 | Paul Koerber | Paul Koerber and Simon Kors | A landscape of non-supersymmetric AdS vacua on coset manifolds | 20 pages, 11 figures, v2: added some clarifications, references, v3:
corrections addressing comments referee | Phys.Rev.D81:105006,2010 | 10.1103/PhysRevD.81.105006 | KUL-TF-09/28, HD-THEP-09-31 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct new families of non-supersymmetric sourceless type IIA AdS4
vacua on those coset manifolds that also admit supersymmetric solutions. We
investigate the spectrum of left-invariant modes and find that most, but not
all, of the vacua are stable under these fluctuations. Generically, there are
also no massless moduli.
| [
{
"created": "Mon, 4 Jan 2010 13:51:46 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Feb 2010 13:08:10 GMT",
"version": "v2"
},
{
"created": "Mon, 10 May 2010 13:42:14 GMT",
"version": "v3"
}
] | 2010-05-19 | [
[
"Koerber",
"Paul",
""
],
[
"Kors",
"Simon",
""
]
] | We construct new families of non-supersymmetric sourceless type IIA AdS4 vacua on those coset manifolds that also admit supersymmetric solutions. We investigate the spectrum of left-invariant modes and find that most, but not all, of the vacua are stable under these fluctuations. Generically, there are also no massless moduli. |
1909.00800 | Kun Hao | Kun Hao, Dmitri Kharzeev, Vladimir Korepin | Bethe Ansatz for XXX chain with negative spin | 21 pages, 2 figures | Int. J. Mod. Phys. A, Vol. 34, No. 31 (2019) 1950197 | 10.1142/S0217751X19501975 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | XXX spin chain with spin $s=-1$ appears as an effective theory of Quantum
Chromodynamics. It is equivalent to lattice nonlinear Schroediger's equation:
interacting chain of harmonic oscillators [bosonic]. In thermodynamic limit
each energy level is a scattering state of several elementary excitations
[lipatons]. Lipaton is a fermion: it can be represented as a topological
excitation [soliton] of original [bosonic] degrees of freedom, described by the
group $Z_2$ . We also provide the CFT description (including local quenches)
and Yang-Yang thermodynamics of the model.
| [
{
"created": "Mon, 2 Sep 2019 17:15:27 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Oct 2019 18:20:55 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Oct 2019 15:06:42 GMT",
"version": "v3"
}
] | 2019-12-03 | [
[
"Hao",
"Kun",
""
],
[
"Kharzeev",
"Dmitri",
""
],
[
"Korepin",
"Vladimir",
""
]
] | XXX spin chain with spin $s=-1$ appears as an effective theory of Quantum Chromodynamics. It is equivalent to lattice nonlinear Schroediger's equation: interacting chain of harmonic oscillators [bosonic]. In thermodynamic limit each energy level is a scattering state of several elementary excitations [lipatons]. Lipaton is a fermion: it can be represented as a topological excitation [soliton] of original [bosonic] degrees of freedom, described by the group $Z_2$ . We also provide the CFT description (including local quenches) and Yang-Yang thermodynamics of the model. |
hep-th/0409309 | Fang Wei | H.Q.Lu, Z.G.Huang, W.Fang, K.F.Zhang | Dark Energy and Dilaton Cosmology | 8 pages, 2 figures | null | null | null | hep-th | null | We studied the dilaton cosmology based on Weyl-Scaled induced gravity. The
potential of dilaton field is taken as exponential form. An analytical solution
of Einstein equation is found. The dilaton can be a candidate for dark energy
that can explain the accelerated universe. The structure formation is also
considered. We find the the evolutive equation of density perturbation, and its
growth is quicker than the one in standard model which is consistent with the
constraint from CMBR measurements
| [
{
"created": "Thu, 30 Sep 2004 02:18:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lu",
"H. Q.",
""
],
[
"Huang",
"Z. G.",
""
],
[
"Fang",
"W.",
""
],
[
"Zhang",
"K. F.",
""
]
] | We studied the dilaton cosmology based on Weyl-Scaled induced gravity. The potential of dilaton field is taken as exponential form. An analytical solution of Einstein equation is found. The dilaton can be a candidate for dark energy that can explain the accelerated universe. The structure formation is also considered. We find the the evolutive equation of density perturbation, and its growth is quicker than the one in standard model which is consistent with the constraint from CMBR measurements |
2304.01250 | K\'evin Nguyen | Kevin Nguyen, Alan Rios Fukelman and Chris D. White | Celestial soft dressings from generalised Wilson lines | 14 pages + appendices | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this review article, we revisit the connection between dressing of
scattering states in quantum electrodynamics by clouds of soft photons, and
their dressing by (generalised) Wilson line operators. In particular, we show
that the leading and subleading soft conformal dressings considered in the
context of celestial holography can be straightforwardly obtained from
generalised Wilson lines, and that this only requires knowledge of the
asymptotic behaviour of the photon field near null and timelike infinity.
| [
{
"created": "Mon, 3 Apr 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 29 May 2023 11:39:04 GMT",
"version": "v2"
}
] | 2023-05-30 | [
[
"Nguyen",
"Kevin",
""
],
[
"Fukelman",
"Alan Rios",
""
],
[
"White",
"Chris D.",
""
]
] | In this review article, we revisit the connection between dressing of scattering states in quantum electrodynamics by clouds of soft photons, and their dressing by (generalised) Wilson line operators. In particular, we show that the leading and subleading soft conformal dressings considered in the context of celestial holography can be straightforwardly obtained from generalised Wilson lines, and that this only requires knowledge of the asymptotic behaviour of the photon field near null and timelike infinity. |
1103.5914 | Daniel Butter | Daniel Butter | N=2 Conformal Superspace in Four Dimensions | 43 pages; v2 references added, acknowledgments updated | null | 10.1007/JHEP10(2011)030 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the geometry of four dimensional N=2 superspace where the entire
conformal algebra of SU(2,2|2) is realized linearly in the structure group
rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries,
extending to N=2 our prior result for N=1 superspace. This formulation
explicitly lifts to superspace the existing methods of the N=2 superconformal
tensor calculus; at the same time the geometry, when degauged to SL(2,C) x
U(2)_R, reproduces the existing formulation of N=2 conformal supergravity
constructed by Howe.
| [
{
"created": "Wed, 30 Mar 2011 13:11:48 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2011 15:14:10 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Butter",
"Daniel",
""
]
] | We develop the geometry of four dimensional N=2 superspace where the entire conformal algebra of SU(2,2|2) is realized linearly in the structure group rather than just the SL(2,C) x U(2)_R subgroup of Lorentz and R-symmetries, extending to N=2 our prior result for N=1 superspace. This formulation explicitly lifts to superspace the existing methods of the N=2 superconformal tensor calculus; at the same time the geometry, when degauged to SL(2,C) x U(2)_R, reproduces the existing formulation of N=2 conformal supergravity constructed by Howe. |
hep-th/9701164 | Maxim Kontsevich | M. Kontsevich and A. Zorich | Lyapunov exponents and Hodge theory | 16 pages, Latex, extended version of the talk by one of us (M.K.) at
the conference "Mathematical Beauty of Physics", Saclay, June 1996, dedicated
to the memory of C.Itzykson | null | null | null | hep-th alg-geom dg-ga math.AG math.DG | null | We started from computer experiments with simple one-dimensional ergodic
dynamical systems called interval exchange transformations. Correlators in
these systems decay as a power of time. In the simplest non-trivial case the
exponent is equal to 1/3. We found a formula connecting characteristic
exponents with explicit integrals over moduli spaces of algebraic curves with
additional structures. Moreover, these integrals can be interpreted as
correlators in a topological string theory. Also a new analogy arose between
ergodic theory and complex algebraic geometry.
| [
{
"created": "Tue, 28 Jan 1997 17:26:17 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Kontsevich",
"M.",
""
],
[
"Zorich",
"A.",
""
]
] | We started from computer experiments with simple one-dimensional ergodic dynamical systems called interval exchange transformations. Correlators in these systems decay as a power of time. In the simplest non-trivial case the exponent is equal to 1/3. We found a formula connecting characteristic exponents with explicit integrals over moduli spaces of algebraic curves with additional structures. Moreover, these integrals can be interpreted as correlators in a topological string theory. Also a new analogy arose between ergodic theory and complex algebraic geometry. |
hep-th/0105105 | Hooft 't G. | Gerard 't Hooft (Utrecht) | Quantum Mechanics and Determinism | 13 pages Plain TeX, 1 figure in PostScript. Presented at PASCOS 2001,
Eighth International Symposium on Particles, Strings and Cosmology, UNC at
Chapel Hill, April 10-15, 2001 | null | null | SPIN-2001/11 / ITP-UU-01/18 | hep-th | null | It is shown how to map the quantum states of a system of free scalar
particles one-to-one onto the states of a completely deterministic model. It is
a classical field theory with a large (global) gauge group. The mapping is now
also applied to free Maxwell fields. Lorentz invariance is demonstrated.
| [
{
"created": "Fri, 11 May 2001 16:06:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hooft",
"Gerard 't",
"",
"Utrecht"
]
] | It is shown how to map the quantum states of a system of free scalar particles one-to-one onto the states of a completely deterministic model. It is a classical field theory with a large (global) gauge group. The mapping is now also applied to free Maxwell fields. Lorentz invariance is demonstrated. |
hep-th/0008231 | Joseph A. Minahan | Joseph A. Minahan and Barton Zwiebach | Field theory models for tachyon and gauge field string dynamics | latex, 21 pages, 3 figures. Added references to reflectionless
potentials, minor typos corrected, uniform use of (-, +, +, ..., +) signature | JHEP 0009 (2000) 029 | 10.1088/1126-6708/2000/09/029 | CTP-MIT-3019 | hep-th | null | In hep-th/0008227, the unstable lump solution of \phi^3 theory was shown to
have a spectrum governed by the solvable Schroedinger equation with the \ell=3
reflectionless potential and was used as a model for tachyon condensation in
string theory. In this paper we study in detail an \ell\to \infty scalar field
theory model whose lump solution mimics remarkably the string theory setup: the
original field theory tachyon and the lump tachyon have the same mass, the
spectrum of the lump consists of equally spaced infinite levels, there is no
continuous spectrum, and nothing survives after tachyon condensation. We also
find exact solutions for lumps with codimension \ge 2, and show that that their
tensions satisfy (1/(2\pi)) (T_p/ T_{p+1})=e/(\sqrt{2\pi}) \approx 1.08. We
incorporate gauge fixed couplings to a U(1) gauge field which preserve
solvability and result in massless gauge fields on the lump.
| [
{
"created": "Wed, 30 Aug 2000 22:55:02 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2000 13:42:17 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Minahan",
"Joseph A.",
""
],
[
"Zwiebach",
"Barton",
""
]
] | In hep-th/0008227, the unstable lump solution of \phi^3 theory was shown to have a spectrum governed by the solvable Schroedinger equation with the \ell=3 reflectionless potential and was used as a model for tachyon condensation in string theory. In this paper we study in detail an \ell\to \infty scalar field theory model whose lump solution mimics remarkably the string theory setup: the original field theory tachyon and the lump tachyon have the same mass, the spectrum of the lump consists of equally spaced infinite levels, there is no continuous spectrum, and nothing survives after tachyon condensation. We also find exact solutions for lumps with codimension \ge 2, and show that that their tensions satisfy (1/(2\pi)) (T_p/ T_{p+1})=e/(\sqrt{2\pi}) \approx 1.08. We incorporate gauge fixed couplings to a U(1) gauge field which preserve solvability and result in massless gauge fields on the lump. |
hep-th/0512201 | Aleksey Mints | Raphael Bousso and Aleksey L. Mints | Holography and entropy bounds in the plane wave matrix model | 19 pages; v2: references added | Phys.Rev.D73:126005,2006 | 10.1103/PhysRevD.73.126005 | null | hep-th gr-qc | null | As a quantum theory of gravity, Matrix theory should provide a realization of
the holographic principle, in the sense that a holographic theory should
contain one binary degree of freedom per Planck area. We present evidence that
Bekenstein's entropy bound, which is related to area differences, is manifest
in the plane wave matrix model. If holography is implemented in this way, we
predict crossover behavior at strong coupling when the energy exceeds N^2 in
units of the mass scale.
| [
{
"created": "Fri, 16 Dec 2005 18:18:27 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Jan 2006 01:36:34 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bousso",
"Raphael",
""
],
[
"Mints",
"Aleksey L.",
""
]
] | As a quantum theory of gravity, Matrix theory should provide a realization of the holographic principle, in the sense that a holographic theory should contain one binary degree of freedom per Planck area. We present evidence that Bekenstein's entropy bound, which is related to area differences, is manifest in the plane wave matrix model. If holography is implemented in this way, we predict crossover behavior at strong coupling when the energy exceeds N^2 in units of the mass scale. |
1104.4286 | Shin'ichi Nojiri | Josef Kluson, Shin'ichi Nojiri and Sergei D. Odintsov | Covariant Lagrange multiplier constrained higher derivative gravity with
scalar projectors | Physics Letters B published version. LaTeX 12 pages | Phys.Lett.B701:117-126,2011 | 10.1016/j.physletb.2011.05.025 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate higher derivative gravity with Lagrange multiplier constraint
and scalar projectors. Its gauge-fixed formulation as well as vector fields
formulation is developed and corresponding spontaneous Lorentz symmetry
breaking is investigated. We show that the only propagating mode is higher
derivative graviton while scalar and vector modes do not propagate. Despite to
higher derivatives structure of the action, its first FRW equation is the first
order differential equation which admits the inflationary universe solution.
| [
{
"created": "Thu, 21 Apr 2011 15:16:28 GMT",
"version": "v1"
},
{
"created": "Sat, 28 May 2011 04:02:52 GMT",
"version": "v2"
}
] | 2011-06-28 | [
[
"Kluson",
"Josef",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We formulate higher derivative gravity with Lagrange multiplier constraint and scalar projectors. Its gauge-fixed formulation as well as vector fields formulation is developed and corresponding spontaneous Lorentz symmetry breaking is investigated. We show that the only propagating mode is higher derivative graviton while scalar and vector modes do not propagate. Despite to higher derivatives structure of the action, its first FRW equation is the first order differential equation which admits the inflationary universe solution. |
2211.10569 | Sergio Giardino | Sergio Giardino | Quaternionic fermionic field | Accept by Int. J. Mod. Phys. A | null | 10.1142/S0217751X22501998 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The second quantization of the quaternionic fermionic field is undertaken
using the real Hilbert space approach to quaternionic quantum mechanics
($\mathbbm H$QM). The solution responds to an open problem of quaternionic
quantum theory, and launches the basis to the development of the quaternionic
interaction theory.
| [
{
"created": "Sat, 19 Nov 2022 02:46:12 GMT",
"version": "v1"
}
] | 2023-01-25 | [
[
"Giardino",
"Sergio",
""
]
] | The second quantization of the quaternionic fermionic field is undertaken using the real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM). The solution responds to an open problem of quaternionic quantum theory, and launches the basis to the development of the quaternionic interaction theory. |
hep-th/9111018 | null | G. Aldazabal, I. Allekotte, A. Font and C. Nunez | N=2 Coset Compactifications with Non-Diagonal Invariants | 29 pages | Int.J.Mod.Phys.A7:6273-6298,1992 | 10.1142/S0217751X92002842 | null | hep-th | null | We consider 4-dimensional string models obtained by tensoring N=2 coset
theories with non-diagonal modular invariants. We present results from a
systematic analysis including moddings by discrete symmetries.
| [
{
"created": "Fri, 8 Nov 1991 10:27:28 GMT",
"version": "v1"
}
] | 2009-03-27 | [
[
"Aldazabal",
"G.",
""
],
[
"Allekotte",
"I.",
""
],
[
"Font",
"A.",
""
],
[
"Nunez",
"C.",
""
]
] | We consider 4-dimensional string models obtained by tensoring N=2 coset theories with non-diagonal modular invariants. We present results from a systematic analysis including moddings by discrete symmetries. |
2406.07988 | Zhi-Hong Li | Zhi-Hong li, Huai-Fan Li | Holographic Superfluid Ring with a Weak Link | 16 pages, 8 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the generation of topological defects in the course of a dynamical
phase transition in a ring with a weak link, i.e., a SSS Josephson junction,
from the AdS/CFT correspondence. By setting different parameters of the
junction (width, steepness, depth) and the final temperature of the quench, the
configurations of the charge density and condensate of the order parameters of
the dual field theory are presented. Meanwhile, we observe that in the final
equilibrium state, variations in parameters of the junctions only affect the
configurations of the charge density and condensate of the order parameters,
without altering their values outside the junction. However, variations in the
final temperature will directly affect the values of the charge density and
condensate of the order parameters outside of the junction. Moreover, in the
final equilibrium state, we propose an analytic relation between the
gauge-invariant velocity in the two superconducting states in the SSS Josephson
junction, which agrees well with the numerical results.
| [
{
"created": "Wed, 12 Jun 2024 08:22:59 GMT",
"version": "v1"
}
] | 2024-06-13 | [
[
"li",
"Zhi-Hong",
""
],
[
"Li",
"Huai-Fan",
""
]
] | We explore the generation of topological defects in the course of a dynamical phase transition in a ring with a weak link, i.e., a SSS Josephson junction, from the AdS/CFT correspondence. By setting different parameters of the junction (width, steepness, depth) and the final temperature of the quench, the configurations of the charge density and condensate of the order parameters of the dual field theory are presented. Meanwhile, we observe that in the final equilibrium state, variations in parameters of the junctions only affect the configurations of the charge density and condensate of the order parameters, without altering their values outside the junction. However, variations in the final temperature will directly affect the values of the charge density and condensate of the order parameters outside of the junction. Moreover, in the final equilibrium state, we propose an analytic relation between the gauge-invariant velocity in the two superconducting states in the SSS Josephson junction, which agrees well with the numerical results. |
hep-th/9403152 | Guido Haak | G. Haak | Negative Flows of the KP-Hierarchy | 22 pages (LaTeX), Report KITCS94-2-1 | null | null | null | hep-th | null | We construct a Grassmannian-like formulation for the potential KP-hierarchy
including additional ``negative'' flows. Our approach will generalize the
notion of a tau-function to include negative flows. We compare the resulting
hierarchy with results by Hirota, Satsuma and Bogoyavlenskii.
| [
{
"created": "Thu, 24 Mar 1994 18:36:15 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Haak",
"G.",
""
]
] | We construct a Grassmannian-like formulation for the potential KP-hierarchy including additional ``negative'' flows. Our approach will generalize the notion of a tau-function to include negative flows. We compare the resulting hierarchy with results by Hirota, Satsuma and Bogoyavlenskii. |
1811.04901 | Jong-Hyun Baek | Jong-Hyun Baek | Chiral rings for surface operators in 4d and 5d SQCD | 26 pages, 4 figures; v2: minor changes, references added | JHEP01(2019)159 | 10.1007/JHEP01(2019)159 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Chiral rings of two-dimensional (2,2) theories coupled to 4d $\mathcal{N}=2$
theories with matter hypermultiplets are studied. Specifically, the vacua of
the twisted superpotential of the 2d theories with vanishing sum of matter
charges are computed by considering the resolvent of the bulk theory. The
solutions to the chiral ring equations are also obtained from the instanton
partition function via Higgsing for simple surface operators and via the
orbifold description for full surface operators. These 2d/4d coupled theories
are lifted to 3d/5d theories and vacua are found similarly in two different
methods: by solving the 3d chiral ring equations taking into account the effect
of 5d resolvent and by computing the 5d instanton partition function in the
presence of a surface operator. We also check the Seiberg-like duality for both
2d/4d and 3d/5d coupled systems with a specific Chern-Simons coefficient for
the latter.
| [
{
"created": "Mon, 12 Nov 2018 18:40:58 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2019 02:20:56 GMT",
"version": "v2"
}
] | 2019-01-23 | [
[
"Baek",
"Jong-Hyun",
""
]
] | Chiral rings of two-dimensional (2,2) theories coupled to 4d $\mathcal{N}=2$ theories with matter hypermultiplets are studied. Specifically, the vacua of the twisted superpotential of the 2d theories with vanishing sum of matter charges are computed by considering the resolvent of the bulk theory. The solutions to the chiral ring equations are also obtained from the instanton partition function via Higgsing for simple surface operators and via the orbifold description for full surface operators. These 2d/4d coupled theories are lifted to 3d/5d theories and vacua are found similarly in two different methods: by solving the 3d chiral ring equations taking into account the effect of 5d resolvent and by computing the 5d instanton partition function in the presence of a surface operator. We also check the Seiberg-like duality for both 2d/4d and 3d/5d coupled systems with a specific Chern-Simons coefficient for the latter. |
1407.6379 | Dushyant Kumar | Dushyant Kumar | Two-dimensional Yang-Mills Theory on Recursive Infinite Genus Surfaces | 1+7 pages, 2 figures | JHEP 1409 (2014) 023 | 10.1007/JHEP09(2014)023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The partition function of Euclidean Yang-Mills theory on two dimensional
surfaces is given by the Migdal formula. It involves the area and topological
characteristics of the surface. We consider this theory on a class of infinite
genus surfaces that are constructed recursively. We make use of this recursive
structure to compute the partition functions (with or without additional Wilson
loops) on such surfaces. Our method also works for the quantum deformed
Yang-Mills theory.
| [
{
"created": "Wed, 23 Jul 2014 20:24:45 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Kumar",
"Dushyant",
""
]
] | The partition function of Euclidean Yang-Mills theory on two dimensional surfaces is given by the Migdal formula. It involves the area and topological characteristics of the surface. We consider this theory on a class of infinite genus surfaces that are constructed recursively. We make use of this recursive structure to compute the partition functions (with or without additional Wilson loops) on such surfaces. Our method also works for the quantum deformed Yang-Mills theory. |
hep-th/9612048 | null | Ahmad Shariati | A note on the three dimensional sine--Gordon equation | 4 pages, LaTeX | null | null | IPM-96- | hep-th | null | Using a simple ansatz for the solutions of the three dimensional
generalization of the sine--Gordon and Toda model introduced by Konopelchenko
and Rogers, a class of solutions is found by elementary methods. It is also
shown that these equations are not evolution equations in the sense that
solution to the initial value problem is not unique.
| [
{
"created": "Wed, 4 Dec 1996 14:56:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shariati",
"Ahmad",
""
]
] | Using a simple ansatz for the solutions of the three dimensional generalization of the sine--Gordon and Toda model introduced by Konopelchenko and Rogers, a class of solutions is found by elementary methods. It is also shown that these equations are not evolution equations in the sense that solution to the initial value problem is not unique. |
1512.02829 | Hironori Mori | Hironori Mori | Supersymmetric R\'enyi Entropy in Two Dimensions | 27 pages; v2: typos and discussions revised, and reference added; v3:
typos corrected and published in JHEP | JHEP 1603 (2016) 058 | 10.1007/JHEP03(2016)058 | OU-HET 883 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the exact partition function on the branched two-sphere by the
localization technique. It is found that it does not depend on a branching
parameter q, which means that supersymmetric R\'enyi entropy defined by
utilizing it is equivalent to the usual entanglement entropy. We also provide
the interpretation of the conical singularities on the branched sphere as
defects sit on the poles of the nonsingular two-sphere.
| [
{
"created": "Wed, 9 Dec 2015 12:17:51 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2016 09:47:59 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Mar 2016 00:24:15 GMT",
"version": "v3"
}
] | 2016-03-17 | [
[
"Mori",
"Hironori",
""
]
] | We compute the exact partition function on the branched two-sphere by the localization technique. It is found that it does not depend on a branching parameter q, which means that supersymmetric R\'enyi entropy defined by utilizing it is equivalent to the usual entanglement entropy. We also provide the interpretation of the conical singularities on the branched sphere as defects sit on the poles of the nonsingular two-sphere. |
0708.1032 | Alessandro Tomasiello | Nick Halmagyi and Alessandro Tomasiello | Generalized Kaehler Potentials from Supergravity | "38 pages. v3: improved exposition and minor mistakes corrected in
sec. 4" | Commun.Math.Phys.291:1-30,2009 | 10.1007/s00220-009-0881-6 | EFI-07-22, SU-ITP-07/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider supersymmetric N=2 solutions with non-vanishing NS three-form.
Building on worldsheet results, we reduce the problem to a single generalized
Monge-Ampere equation on the generalized Kaehler potential K recently
interpreted geometrically by Lindstrom, Rocek, Von Unge and Zabzine. One input
in the procedure is a holomorphic function w that can be thought of as the
effective superpotential for a D3 brane probe. The procedure is hence likely to
be useful for finding gravity duals to field theories with non-vanishing
abelian superpotential, such as Leigh-Strassler theories. We indeed show that a
purely NS precursor of the Lunin-Maldacena dual to the beta-deformed N=4
super-Yang-Mills falls in our class.
| [
{
"created": "Tue, 7 Aug 2007 22:21:41 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Sep 2007 18:50:48 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Nov 2008 21:09:23 GMT",
"version": "v3"
}
] | 2009-08-11 | [
[
"Halmagyi",
"Nick",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | We consider supersymmetric N=2 solutions with non-vanishing NS three-form. Building on worldsheet results, we reduce the problem to a single generalized Monge-Ampere equation on the generalized Kaehler potential K recently interpreted geometrically by Lindstrom, Rocek, Von Unge and Zabzine. One input in the procedure is a holomorphic function w that can be thought of as the effective superpotential for a D3 brane probe. The procedure is hence likely to be useful for finding gravity duals to field theories with non-vanishing abelian superpotential, such as Leigh-Strassler theories. We indeed show that a purely NS precursor of the Lunin-Maldacena dual to the beta-deformed N=4 super-Yang-Mills falls in our class. |
0804.1544 | Maxim Chernodub | M. N. Chernodub, Ludvig Faddeev, Antti J. Niemi | Non-Abelian Supercurrents and de Sitter Ground State in Electroweak
Theory | 13 pages, no figures, JHEP style, published version | JHEP 0812:014,2008 | 10.1088/1126-6708/2008/12/014 | UUITP-04/08, ITEP-LAT/2008-10 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that gauge symmetry breaking in the Weinberg-Salam model can be
implemented by a mere change of variables and without any explicit gauge
fixing. The change of variables entails the concept of supercurrent which has
been widely employed in the study of superconductivity. It also introduces a
separation between the isospin and the hypercharge, suggesting that our new
variables describe a strongly coupled regime of the electroweak theory. We
discuss the description of various embedded topological defects in terms of
these variables. We also propose that in terms of our variables the
Weinberg-Salam model can be interpreted in terms of a gravity theory with the
modulus of Higgs field as dilaton and the de Sitter space as the ground state.
| [
{
"created": "Wed, 9 Apr 2008 19:55:21 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Dec 2008 12:18:41 GMT",
"version": "v2"
}
] | 2009-01-01 | [
[
"Chernodub",
"M. N.",
""
],
[
"Faddeev",
"Ludvig",
""
],
[
"Niemi",
"Antti J.",
""
]
] | We show that gauge symmetry breaking in the Weinberg-Salam model can be implemented by a mere change of variables and without any explicit gauge fixing. The change of variables entails the concept of supercurrent which has been widely employed in the study of superconductivity. It also introduces a separation between the isospin and the hypercharge, suggesting that our new variables describe a strongly coupled regime of the electroweak theory. We discuss the description of various embedded topological defects in terms of these variables. We also propose that in terms of our variables the Weinberg-Salam model can be interpreted in terms of a gravity theory with the modulus of Higgs field as dilaton and the de Sitter space as the ground state. |
1012.3316 | Arjun Bagchi | Arjun Bagchi | Topologically Massive Gravity and Galilean Conformal Algebra: A Study of
Correlation Functions | 18 pages | JHEP 1102:091,2011 | 10.1007/JHEP02(2011)091 | EMPG-10-27 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Galilean Conformal Algebra (GCA) arises from the relativistic conformal
algebra in the non-relativistic limit. In two dimensions, one can view it as a
limit of linear combinations of the two copies Virasoro algebra. Recently, it
has been argued that Topologically Massive Gravity (TMG) realizes the quantum
2d GCA in a particular scaling limit of the gravitational Chern-Simons term. To
add strength to this claim, we demonstrate a matching of correlation functions
on both sides of this correspondence. A priori looking for spatially dependent
correlators seems to force us to deal with high spin operators in the bulk. We
get around this difficulty by constructing the non-relativistic Energy-Momentum
tensor and considering its correlation functions. On the gravity side, our
analysis makes heavy use of recent results of Holographic Renormalization in
Topologically Massive Gravity.
| [
{
"created": "Wed, 15 Dec 2010 13:03:56 GMT",
"version": "v1"
}
] | 2011-03-18 | [
[
"Bagchi",
"Arjun",
""
]
] | The Galilean Conformal Algebra (GCA) arises from the relativistic conformal algebra in the non-relativistic limit. In two dimensions, one can view it as a limit of linear combinations of the two copies Virasoro algebra. Recently, it has been argued that Topologically Massive Gravity (TMG) realizes the quantum 2d GCA in a particular scaling limit of the gravitational Chern-Simons term. To add strength to this claim, we demonstrate a matching of correlation functions on both sides of this correspondence. A priori looking for spatially dependent correlators seems to force us to deal with high spin operators in the bulk. We get around this difficulty by constructing the non-relativistic Energy-Momentum tensor and considering its correlation functions. On the gravity side, our analysis makes heavy use of recent results of Holographic Renormalization in Topologically Massive Gravity. |
hep-th/0511054 | Stefano Bellucci | S. Bellucci, A. Beylin, S. Krivonos and A. Shcherbakov | N=8 Nonlinear Supersymmetric Mechanics | 9 pages, no figures, minor corrections | Phys.Lett.B633:382-388,2006 | 10.1016/j.physletb.2005.11.082 | null | hep-th | null | We construct a new two-dimensional N=8 supersymmetric mechanics with
nonlinear chiral supermultiplet. Being intrinsically nonlinear this multiplet
describes 2 physical bosonic and 8 fermionic degrees of freedom. We construct
the most general superfield action of the sigma-model type and propose its
simplest extension by a Fayet-Iliopoulos term. The most interesting property of
the constructed system is a new type of geometry in the bosonic subsector,
which is different from the special Kahler one characterizing the case of the
linear chiral N=8 supermultiplet.
| [
{
"created": "Fri, 4 Nov 2005 10:51:20 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Nov 2005 14:55:59 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bellucci",
"S.",
""
],
[
"Beylin",
"A.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Shcherbakov",
"A.",
""
]
] | We construct a new two-dimensional N=8 supersymmetric mechanics with nonlinear chiral supermultiplet. Being intrinsically nonlinear this multiplet describes 2 physical bosonic and 8 fermionic degrees of freedom. We construct the most general superfield action of the sigma-model type and propose its simplest extension by a Fayet-Iliopoulos term. The most interesting property of the constructed system is a new type of geometry in the bosonic subsector, which is different from the special Kahler one characterizing the case of the linear chiral N=8 supermultiplet. |
hep-th/9511102 | K. J. Barnes | K.J.Barnes, J.M.Generowicz, P.J.Grimshare | The Chiral 2-Sphere | 12 pages,LaTeX,no macros | J.Phys.A29:4457-4472,1996 | 10.1088/0305-4470/29/15/017 | SHEP 95-37 | hep-th | null | The two dimensional surface of a sphere can be parametrized by coordinates
representing two charged pions acting as Goldstone bosons of a broken $SU_2$
symmetry. We construct in full concrete detail, and in a general class of
coordinate systems, all the relevant structure forming a framework for this low
energy effective theory.
| [
{
"created": "Tue, 14 Nov 1995 16:00:40 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Nov 1995 15:09:50 GMT",
"version": "v2"
}
] | 2019-08-17 | [
[
"Barnes",
"K. J.",
""
],
[
"Generowicz",
"J. M.",
""
],
[
"Grimshare",
"P. J.",
""
]
] | The two dimensional surface of a sphere can be parametrized by coordinates representing two charged pions acting as Goldstone bosons of a broken $SU_2$ symmetry. We construct in full concrete detail, and in a general class of coordinate systems, all the relevant structure forming a framework for this low energy effective theory. |
1811.00038 | Daniel Butter | Daniel Butter, Henning Samtleben, and Ergin Sezgin | E$_{7(7)}$ Exceptional Field Theory in Superspace | 42 pages | null | 10.1007/JHEP01(2019)087 | MI-TH-186 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate the locally supersymmetric E$_{7(7)}$ exceptional field theory
in a $(4+56|32)$ dimensional superspace, corresponding to a 4D $N\!=\!8$
"external" superspace augmented with an "internal" 56-dimensional space. This
entails the unification of external diffeomorphisms and local supersymmetry
transformations into superdiffeomorphisms. The solutions to the superspace
Bianchi identities lead to on-shell duality equations for the $p$-form field
strengths for $p\leq 4$. The reduction to component fields provides a complete
description of the on-shell supersymmetric theory. As an application of our
results, we perform a generalized Scherk-Schwarz reduction and obtain the
superspace formulation of maximal gauged supergravity in four dimensions
parametrized by an embedding tensor.
| [
{
"created": "Wed, 31 Oct 2018 18:03:16 GMT",
"version": "v1"
}
] | 2019-01-30 | [
[
"Butter",
"Daniel",
""
],
[
"Samtleben",
"Henning",
""
],
[
"Sezgin",
"Ergin",
""
]
] | We formulate the locally supersymmetric E$_{7(7)}$ exceptional field theory in a $(4+56|32)$ dimensional superspace, corresponding to a 4D $N\!=\!8$ "external" superspace augmented with an "internal" 56-dimensional space. This entails the unification of external diffeomorphisms and local supersymmetry transformations into superdiffeomorphisms. The solutions to the superspace Bianchi identities lead to on-shell duality equations for the $p$-form field strengths for $p\leq 4$. The reduction to component fields provides a complete description of the on-shell supersymmetric theory. As an application of our results, we perform a generalized Scherk-Schwarz reduction and obtain the superspace formulation of maximal gauged supergravity in four dimensions parametrized by an embedding tensor. |
1112.2105 | A. Yu. Petrov | M. Gomes, J. R. Nascimento, A. Yu. Petrov and A. J. da Silva | All-loop finiteness of the two-dimensional noncommutative supersymmetric
gauge theory | 7 pages | EPL 98 (2012) 21002 | 10.1209/0295-5075/98/21002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within the superfield approach, we discuss two-dimensional noncommutative
super-QED. Its all-order finiteness is shown explicitly.
| [
{
"created": "Fri, 9 Dec 2011 14:06:17 GMT",
"version": "v1"
},
{
"created": "Sun, 13 May 2012 21:25:52 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Gomes",
"M.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"da Silva",
"A. J.",
""
]
] | Within the superfield approach, we discuss two-dimensional noncommutative super-QED. Its all-order finiteness is shown explicitly. |
1806.10524 | Seckin Kurkcuoglu | U.H. Coskun, S.Kurkcuoglu, G.C. Toga and G. Unal | Chaos from Equivariant Fields on Fuzzy $S^4$ | 44+1 pages, 57 figures, expanded section on chaotic dynamics with new
results, published version | JHEP 1812 (2018) 015 | 10.1007/JHEP12(2018)015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the $5d$ Yang-Mills matrix model in $0+1$-dimensions with $U(4N)$
gauge symmetry and a mass deformation term. We determine the explicit
$SU(4)\approx SO(6)$ equivariant parametrizations of the gauge field and the
fluctuations about the classical four concentric fuzzy four sphere
configuration and obtain the low energy reduced actions(LEAs) by tracing over
the $S_F^4$s for the first five lowest matrix levels. The LEA's so obtained
have potentials bounded from below indicating that the equivariant fluctuations
about the $S_F^4$ do not lead to any instabilities. These reduced systems
exhibit chaotic dynamics, which we reveal by computing their Lyapunov
exponents.Using our numerical results, we explore various aspects of chaotic
dynamics emerging from the LEAs. In particular, we model how the largest
Lyapunov exponents change as a function of the energy. We also show that, in
the Euclidean signature, the LEAs support the usual kink type soliton
solutions, i.e. instantons in $1+0$-dimensions, which may be seen as the
imprints of the topological fluxes penetrating the concentric $S_F^4$s due to
the equivariance conditions, and preventing them to shrink to zero radius.
| [
{
"created": "Wed, 27 Jun 2018 15:13:02 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Jul 2018 14:44:01 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Feb 2019 07:00:41 GMT",
"version": "v3"
}
] | 2019-02-14 | [
[
"Coskun",
"U. H.",
""
],
[
"Kurkcuoglu",
"S.",
""
],
[
"Toga",
"G. C.",
""
],
[
"Unal",
"G.",
""
]
] | We examine the $5d$ Yang-Mills matrix model in $0+1$-dimensions with $U(4N)$ gauge symmetry and a mass deformation term. We determine the explicit $SU(4)\approx SO(6)$ equivariant parametrizations of the gauge field and the fluctuations about the classical four concentric fuzzy four sphere configuration and obtain the low energy reduced actions(LEAs) by tracing over the $S_F^4$s for the first five lowest matrix levels. The LEA's so obtained have potentials bounded from below indicating that the equivariant fluctuations about the $S_F^4$ do not lead to any instabilities. These reduced systems exhibit chaotic dynamics, which we reveal by computing their Lyapunov exponents.Using our numerical results, we explore various aspects of chaotic dynamics emerging from the LEAs. In particular, we model how the largest Lyapunov exponents change as a function of the energy. We also show that, in the Euclidean signature, the LEAs support the usual kink type soliton solutions, i.e. instantons in $1+0$-dimensions, which may be seen as the imprints of the topological fluxes penetrating the concentric $S_F^4$s due to the equivariance conditions, and preventing them to shrink to zero radius. |
hep-th/0401223 | Vasily E. Tarasov | Vasily E.Tarasov | Bosonic String in Affine-Metric Curved Space | 15 pages, LaTeX | Physics Letters B. Vol.323. No.3-4. (1994) 296-304 | 10.1016/0370-2693(94)91223-8 | null | hep-th | null | The sigma model approach to the closed bosonic string on the affine-metric
manifold is considered. The two-loop metric counterterms for the nonlinear
two-dimensional sigma model with affine-metric target manifold are calculated.
The correlation of the metric and affine connection is considered as the result
of the ultraviolet finiteness (or beta-function vanishing) condition for the
nonlinear sigma model. The examples of the nonflat nonRiemannian manifolds
resulting in the trivial metric beta-function are suggested.
| [
{
"created": "Wed, 28 Jan 2004 16:28:31 GMT",
"version": "v1"
}
] | 2015-03-17 | [
[
"Tarasov",
"Vasily E.",
""
]
] | The sigma model approach to the closed bosonic string on the affine-metric manifold is considered. The two-loop metric counterterms for the nonlinear two-dimensional sigma model with affine-metric target manifold are calculated. The correlation of the metric and affine connection is considered as the result of the ultraviolet finiteness (or beta-function vanishing) condition for the nonlinear sigma model. The examples of the nonflat nonRiemannian manifolds resulting in the trivial metric beta-function are suggested. |
hep-th/0204229 | Konstantin Selivanov | A.A.Rosly and K.G.Selivanov | Helicity conservation in Born-Infeld theory | 2 pages, Latex | Talk given at the Workshop "String Theory and Complex Geometry"
(Bad Honnef, 8th-12th April, 2002) | null | ITEP-TH-02-21 | hep-th | null | We prove that the helicity is preserved in the scattering of photons in the
Born-Infeld theory (in 4d) on the tree level.
| [
{
"created": "Fri, 26 Apr 2002 14:14:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rosly",
"A. A.",
""
],
[
"Selivanov",
"K. G.",
""
]
] | We prove that the helicity is preserved in the scattering of photons in the Born-Infeld theory (in 4d) on the tree level. |
hep-th/0004027 | Diego J. Navarro | Alessandro Fabbri, Diego J. Navarro and Jose Navarro-Salas | Evaporation of near-extremal Reissner-Nordstrom black holes | LaTeX file, 4 pages, 2 figures. Final version, to appear in Phys.
Rev. Lett | Phys.Rev.Lett. 85 (2000) 2434-2437 | 10.1103/PhysRevLett.85.2434 | null | hep-th gr-qc | null | The formation of near-extremal Reissner-Nordstrom black holes in the S-wave
approximation can be described, near the event horizon, by an effective
solvable model. The corresponding one-loop quantum theory remains solvable and
allows to follow analytically the evaporation process which is shown to require
an infinite amount of time.
| [
{
"created": "Wed, 5 Apr 2000 15:49:42 GMT",
"version": "v1"
},
{
"created": "Fri, 19 May 2000 17:02:38 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Jul 2000 18:14:42 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Fabbri",
"Alessandro",
""
],
[
"Navarro",
"Diego J.",
""
],
[
"Navarro-Salas",
"Jose",
""
]
] | The formation of near-extremal Reissner-Nordstrom black holes in the S-wave approximation can be described, near the event horizon, by an effective solvable model. The corresponding one-loop quantum theory remains solvable and allows to follow analytically the evaporation process which is shown to require an infinite amount of time. |
hep-th/9905081 | Neil Constable | Neil R. Constable and Robert C. Myers | Exotic Scalar States in the AdS/CFT Correspondence | 18 pages. 3 figures. Revised discussion section, added references.
Final version to appear in JHEP | JHEP 9911:020,1999 | 10.1088/1126-6708/1999/11/020 | null | hep-th | null | We investigate a family of solutions of Type IIb supergravity which
asymptotically approach AdS_5 X S^5 but contain a non-constant dilaton and
volume scalar for the five-sphere. These solutions preserve an SO(1,3) X SO(6)
symmetry. We discuss the solution in the context of the AdS/CFT correspondence,
and we find that as well as running coupling from the nontrivial dilaton, the
corresponding field theory has no supersymmetry and displays confinement at
least for a certain range of parameters.
| [
{
"created": "Tue, 11 May 1999 23:36:43 GMT",
"version": "v1"
},
{
"created": "Wed, 12 May 1999 01:54:18 GMT",
"version": "v2"
},
{
"created": "Tue, 18 May 1999 16:11:43 GMT",
"version": "v3"
},
{
"created": "Mon, 22 Nov 1999 17:38:43 GMT",
"version": "v4"
}
] | 2010-02-03 | [
[
"Constable",
"Neil R.",
""
],
[
"Myers",
"Robert C.",
""
]
] | We investigate a family of solutions of Type IIb supergravity which asymptotically approach AdS_5 X S^5 but contain a non-constant dilaton and volume scalar for the five-sphere. These solutions preserve an SO(1,3) X SO(6) symmetry. We discuss the solution in the context of the AdS/CFT correspondence, and we find that as well as running coupling from the nontrivial dilaton, the corresponding field theory has no supersymmetry and displays confinement at least for a certain range of parameters. |
hep-th/0107192 | Zhukovsk | D. Ebert, V. Ch. Zhukovsky, and M. V. Rogal | Non-abelian plane waves and stochastic regimes for (2+1)-dimensional
gauge field models with Chern-Simons term | LaTeX 2.09, 13 pages, 11 eps figures | Phys.Rev.D65:065017,2002 | 10.1103/PhysRevD.65.065017 | null | hep-th | null | An exact time-dependent solution of field equations for the 3-d gauge field
model with a Chern-Simons (CS) topological mass is found. Limiting cases of
constant solution and solution with vanishing topological mass are considered.
After Lorentz boost, the found solution describes a massive nonlinear
non-abelian plane wave. For the more complicate case of gauge fields with CS
mass interacting with a Higgs field, the stochastic character of motion is
demonstrated.
| [
{
"created": "Mon, 23 Jul 2001 13:01:39 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Ebert",
"D.",
""
],
[
"Zhukovsky",
"V. Ch.",
""
],
[
"Rogal",
"M. V.",
""
]
] | An exact time-dependent solution of field equations for the 3-d gauge field model with a Chern-Simons (CS) topological mass is found. Limiting cases of constant solution and solution with vanishing topological mass are considered. After Lorentz boost, the found solution describes a massive nonlinear non-abelian plane wave. For the more complicate case of gauge fields with CS mass interacting with a Higgs field, the stochastic character of motion is demonstrated. |
2406.10186 | Gabriel Cuomo | Gabriel Cuomo, Yin-Chen He, Zohar Komargodski | Impurities with a cusp: general theory and 3d Ising | 35 pages + appendices, 15 figures v2 typos fixed | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In CFTs, the partition function of a line defect with a cusp depends
logarithmically on the size of the line with an angle-dependent coefficient:
the cusp anomalous dimension. In the first part of this work, we study the
general properties of the cusp anomalous dimension. We relate the small cusp
angle limit to the effective field theory of defect fusion, making predictions
for the first couple of terms in the expansion. Using a concavity property of
the cusp anomalous dimension we argue that the Casimir energy between a line
defect and its orientation reversal is always negative ("opposites attract").
We use these results to determine the fusion algebra of Wilson lines in
$\mathcal{N}=4$ SYM as well as pinning field defects in the Wilson-Fisher fixed
points. In the second part of the paper we obtain nonperturbative numerical
results for the cusp anomalous dimension of pinning field defects in the Ising
model in $d=3$, using the recently developed fuzzy-sphere regularization. We
also compute the pinning field cusp anomalous dimension in the $O(N)$ model at
one-loop in the $\varepsilon$-expansion. Our results are in agreement with the
general theory developed in the first part of the work, and we make several
predictions for impurities in magnets.
| [
{
"created": "Fri, 14 Jun 2024 17:18:14 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2024 21:54:44 GMT",
"version": "v2"
}
] | 2024-07-17 | [
[
"Cuomo",
"Gabriel",
""
],
[
"He",
"Yin-Chen",
""
],
[
"Komargodski",
"Zohar",
""
]
] | In CFTs, the partition function of a line defect with a cusp depends logarithmically on the size of the line with an angle-dependent coefficient: the cusp anomalous dimension. In the first part of this work, we study the general properties of the cusp anomalous dimension. We relate the small cusp angle limit to the effective field theory of defect fusion, making predictions for the first couple of terms in the expansion. Using a concavity property of the cusp anomalous dimension we argue that the Casimir energy between a line defect and its orientation reversal is always negative ("opposites attract"). We use these results to determine the fusion algebra of Wilson lines in $\mathcal{N}=4$ SYM as well as pinning field defects in the Wilson-Fisher fixed points. In the second part of the paper we obtain nonperturbative numerical results for the cusp anomalous dimension of pinning field defects in the Ising model in $d=3$, using the recently developed fuzzy-sphere regularization. We also compute the pinning field cusp anomalous dimension in the $O(N)$ model at one-loop in the $\varepsilon$-expansion. Our results are in agreement with the general theory developed in the first part of the work, and we make several predictions for impurities in magnets. |
1501.07147 | Walter Dittrich | Walter Dittrich | Some remarks on the use of effective Lagrangians in QED and QCD | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss in this article the usefulness of the effective Lagrangians
(L_eff) of QED and QCD within the one-loop approximation. Instead of
calculating L_eff via complicated computations with Schwinger's proper-time
technique or Feynman graphs, we prefer to employ the energy-momentum tensor and
the leading-log model. The advantage is that we do not have to demand the
external electromagnetic or color field to be constant. There are also some
critical remarks added which cast doubt on the use of LQCD with covariant
constant fields in explaining the nature of the QCD vacuum.
| [
{
"created": "Wed, 28 Jan 2015 15:29:08 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2015 09:24:13 GMT",
"version": "v2"
}
] | 2015-01-30 | [
[
"Dittrich",
"Walter",
""
]
] | We discuss in this article the usefulness of the effective Lagrangians (L_eff) of QED and QCD within the one-loop approximation. Instead of calculating L_eff via complicated computations with Schwinger's proper-time technique or Feynman graphs, we prefer to employ the energy-momentum tensor and the leading-log model. The advantage is that we do not have to demand the external electromagnetic or color field to be constant. There are also some critical remarks added which cast doubt on the use of LQCD with covariant constant fields in explaining the nature of the QCD vacuum. |
hep-th/0105185 | Lori D. Paniak | L.D. Paniak | Exact Noncommutative KP and KdV Multi-solitons | 18 pages LaTeX. Reference added | null | null | PUPT-1982 | hep-th | null | We derive the Kadomtsev-Petviashvili (KP) equation defined over a general
associative algebra and construct its N-soliton solution. For the example of
the Moyal algebra, we find multi-soliton solutions for arbitrary space-space
noncommutativity. The noncommutativity of coordinates is shown to obstruct the
general construction of a tau function for these solitons. We investigate the
two-soliton solution in detail and show that asymptotic observers of soliton
scattering are unable to detect a finite spatial noncommutativity. An explicit
example shows that a pair of solitons in a noncommutative background can be
interpreted as several pairs of image solitons. Finally, a dimensional
reduction gives the general N-soliton solution for the previously discussed
noncommutative KdV equation.
| [
{
"created": "Fri, 18 May 2001 23:10:23 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jun 2001 17:50:30 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Paniak",
"L. D.",
""
]
] | We derive the Kadomtsev-Petviashvili (KP) equation defined over a general associative algebra and construct its N-soliton solution. For the example of the Moyal algebra, we find multi-soliton solutions for arbitrary space-space noncommutativity. The noncommutativity of coordinates is shown to obstruct the general construction of a tau function for these solitons. We investigate the two-soliton solution in detail and show that asymptotic observers of soliton scattering are unable to detect a finite spatial noncommutativity. An explicit example shows that a pair of solitons in a noncommutative background can be interpreted as several pairs of image solitons. Finally, a dimensional reduction gives the general N-soliton solution for the previously discussed noncommutative KdV equation. |
0812.1704 | Manuel Losi | Nick Dorey, Manuel Losi | Spiky Strings and Spin Chains | 51 pages, 5 figures; added 1 reference, corrected typos | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine spectral curves for the known spiky string solutions in AdS
space in the limit of large angular momentum. We also construct generic
multi-spike solutions in this limit and compute the corresponding spectral
data. The resulting spectral curves precisely match those of the classical spin
chain describing the dual operators in one-loop gauge theory. Our results
confirm the map between string theory and gauge theory degrees of freedom
proposed in arXiv:0805.4387 [hep-th].
| [
{
"created": "Tue, 9 Dec 2008 16:32:20 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Mar 2009 17:48:36 GMT",
"version": "v2"
}
] | 2009-03-19 | [
[
"Dorey",
"Nick",
""
],
[
"Losi",
"Manuel",
""
]
] | We determine spectral curves for the known spiky string solutions in AdS space in the limit of large angular momentum. We also construct generic multi-spike solutions in this limit and compute the corresponding spectral data. The resulting spectral curves precisely match those of the classical spin chain describing the dual operators in one-loop gauge theory. Our results confirm the map between string theory and gauge theory degrees of freedom proposed in arXiv:0805.4387 [hep-th]. |
0710.4049 | Ignat Fialkovsky Mr | I. V. Fialkovsky, V. N. Markov and Yu. M. Pis'mak | Parity violating cylindrical shell in the framework of QED | Typos corrected. Some references added | J.Phys.A41:075403,2008 | 10.1088/1751-8113/41/7/075403 | null | hep-th cond-mat.stat-mech quant-ph | null | We present calculations of Casimir energy (CE) in a system of quantized
electromagnetic (EM) field interacting with an infinite circular cylindrical
shell (which we call `the defect'). Interaction is described in the only
QFT-consistent way by Chern-Simon action concentrated on the defect, with a
single coupling constant $a$.
For regularization of UV divergencies of the theory we use % physically
motivated Pauli-Villars regularization of the free EM action. The divergencies
are extracted as a polynomial in regularization mass $M$, and they renormalize
classical part of the surface action.
We reveal the dependence of CE on the coupling constant $a$. Corresponding
Casimir force is attractive for all values of $a$. For $a\to\infty$ we
reproduce the known results for CE for perfectly conducting cylindrical shell
first obtained by DeRaad and Milton.
| [
{
"created": "Mon, 22 Oct 2007 15:04:04 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jan 2008 17:27:01 GMT",
"version": "v2"
}
] | 2008-11-07 | [
[
"Fialkovsky",
"I. V.",
""
],
[
"Markov",
"V. N.",
""
],
[
"Pis'mak",
"Yu. M.",
""
]
] | We present calculations of Casimir energy (CE) in a system of quantized electromagnetic (EM) field interacting with an infinite circular cylindrical shell (which we call `the defect'). Interaction is described in the only QFT-consistent way by Chern-Simon action concentrated on the defect, with a single coupling constant $a$. For regularization of UV divergencies of the theory we use % physically motivated Pauli-Villars regularization of the free EM action. The divergencies are extracted as a polynomial in regularization mass $M$, and they renormalize classical part of the surface action. We reveal the dependence of CE on the coupling constant $a$. Corresponding Casimir force is attractive for all values of $a$. For $a\to\infty$ we reproduce the known results for CE for perfectly conducting cylindrical shell first obtained by DeRaad and Milton. |
hep-th/9408171 | Qmw Theory Group | D. Bailin, A. Love, W. A. Sabra and S. Thomas | Target Space Duality In Orbifolds With Continuous And Discrete Wilson
Lines | 14 pages, QMW--TH--94/28 | Nucl.Phys.B447:85-94,1995 | 10.1016/0550-3213(95)00161-K | null | hep-th | null | Duality Symmetry is studied for heterotic string orbifold compactifications
in the presence of a general background which in addition to the metric and
antisymmetric tensor contains both discrete and continuous Wilson lines
background.
| [
{
"created": "Tue, 30 Aug 1994 18:33:44 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Bailin",
"D.",
""
],
[
"Love",
"A.",
""
],
[
"Sabra",
"W. A.",
""
],
[
"Thomas",
"S.",
""
]
] | Duality Symmetry is studied for heterotic string orbifold compactifications in the presence of a general background which in addition to the metric and antisymmetric tensor contains both discrete and continuous Wilson lines background. |
1210.8312 | Qun Wang | Jiunn-Wei Chen, Shi Pu, Qun Wang, Xin-Nian Wang | Berry curvature and 4-dimensional monopole in relativistic chiral
kinetic equation | ReVTex4, 5 pages, no figure. More discussions are added about the
relationship between the 3D and 4D Berry connections/curvatures. Accepted
version to PRL | Phys.Rev.Lett. 110 (2013) 262301 | 10.1103/PhysRevLett.110.262301 | USTC-ICTS-12-14 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a relativistic chiral kinetic equation with manifest Lorentz
covariance from Wigner functions of spin-1/2 massless fermions in a constant
background electromagnetic field. It contains vorticity terms and a
4-dimensional Euclidean Berry monopole which gives axial anomaly. By
integrating out the zero-th component of the 4-momentum p, we reproduce the
previous 3-dimensional results derived from the Hamiltonian approach, together
with the newly derived vorticity terms. The phase space continuity equation has
an anomalous source term proportional to the product of electric and magnetic
fields ($F\tilde{F} \sim E.B$). This provides a unified interpretation of the
chiral magnetic and vortical effects, chiral anomaly, Berry curvature, and the
Berry monopole in the framework of Wigner functions.
| [
{
"created": "Wed, 31 Oct 2012 12:32:18 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2013 07:51:07 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Jun 2013 01:01:19 GMT",
"version": "v3"
}
] | 2013-07-30 | [
[
"Chen",
"Jiunn-Wei",
""
],
[
"Pu",
"Shi",
""
],
[
"Wang",
"Qun",
""
],
[
"Wang",
"Xin-Nian",
""
]
] | We derive a relativistic chiral kinetic equation with manifest Lorentz covariance from Wigner functions of spin-1/2 massless fermions in a constant background electromagnetic field. It contains vorticity terms and a 4-dimensional Euclidean Berry monopole which gives axial anomaly. By integrating out the zero-th component of the 4-momentum p, we reproduce the previous 3-dimensional results derived from the Hamiltonian approach, together with the newly derived vorticity terms. The phase space continuity equation has an anomalous source term proportional to the product of electric and magnetic fields ($F\tilde{F} \sim E.B$). This provides a unified interpretation of the chiral magnetic and vortical effects, chiral anomaly, Berry curvature, and the Berry monopole in the framework of Wigner functions. |
hep-th/0306192 | Yousef Bisabr | Yousef Bisabr | Conformal Invariance, Accelerating Universe and The Cosmological
Constant Problem | 11 pages, no figures | Int.J.Theor.Phys. 43 (2004) 2137-2148 | 10.1023/B:IJTP.0000049015.53901.55 | null | hep-th | null | We investigate a conformal invariant gravitational model which is taken to
hold at pre-inflationary era. The conformal invariance allows to make a
dynamical distinction between the two unit systems (or conformal frames)
usually used in cosmology and elementary particle physics. In this model we
argue that when the universe suffers phase transitions, the resulting mass
scales introduced by particle physics should have variable contributions to
vacuum energy density. These variations are controlled by the conformal factor
that appears as a dynamical field. We then deal with the cosmological
consequences of this model. In particular, we shall show that there is an
inflationary phase at early times. At late times, on the other hand, it
provides a mechanism which makes a large effective cosmological constant relax
to a sufficiently small value consistent with observations. Moreover, we shall
show that the conformal factor acts as a quintessence field that leads the
universe to accelerate at late times.
| [
{
"created": "Thu, 19 Jun 2003 18:51:43 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bisabr",
"Yousef",
""
]
] | We investigate a conformal invariant gravitational model which is taken to hold at pre-inflationary era. The conformal invariance allows to make a dynamical distinction between the two unit systems (or conformal frames) usually used in cosmology and elementary particle physics. In this model we argue that when the universe suffers phase transitions, the resulting mass scales introduced by particle physics should have variable contributions to vacuum energy density. These variations are controlled by the conformal factor that appears as a dynamical field. We then deal with the cosmological consequences of this model. In particular, we shall show that there is an inflationary phase at early times. At late times, on the other hand, it provides a mechanism which makes a large effective cosmological constant relax to a sufficiently small value consistent with observations. Moreover, we shall show that the conformal factor acts as a quintessence field that leads the universe to accelerate at late times. |
hep-th/9805026 | Christoph Schweigert | J. Fuchs, C. Schweigert | The action of outer automorphisms on bundles of chiral blocks | 46 pages, LaTeX2e. Final version (Commun.Math.Phys., in press). We
have implemented the fact that the group of automorphisms in general acts
only projectively on the chiral blocks and corrected some typos | Commun.Math.Phys. 206 (1999) 691-736 | 10.1007/s002200050841 | CERN-TH/98-145 | hep-th math-ph math.AG math.MP math.QA | null | On the bundles of WZW chiral blocks over the moduli space of a punctured
rational curve we construct isomorphisms that implement the action of outer
automorphisms of the underlying affine Lie algebra. These bundle-isomorphisms
respect the Knizhnik-Zamolodchikov connection and have finite order. When all
primary fields are fixed points, the isomorphisms are endomorphisms; in this
case, the bundle of chiral blocks is typically a reducible vector bundle. A
conjecture for the trace of such endomorphisms is presented; the proposed
relation generalizes the Verlinde formula. Our results have applications to
conformal field theories based on non-simply connected groups and to the
classification of boundary conditions in such theories.
| [
{
"created": "Tue, 5 May 1998 20:24:46 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Apr 1999 13:26:14 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Oct 1999 14:15:58 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Fuchs",
"J.",
""
],
[
"Schweigert",
"C.",
""
]
] | On the bundles of WZW chiral blocks over the moduli space of a punctured rational curve we construct isomorphisms that implement the action of outer automorphisms of the underlying affine Lie algebra. These bundle-isomorphisms respect the Knizhnik-Zamolodchikov connection and have finite order. When all primary fields are fixed points, the isomorphisms are endomorphisms; in this case, the bundle of chiral blocks is typically a reducible vector bundle. A conjecture for the trace of such endomorphisms is presented; the proposed relation generalizes the Verlinde formula. Our results have applications to conformal field theories based on non-simply connected groups and to the classification of boundary conditions in such theories. |
1501.00849 | Kirill Krasnov | Kirill Krasnov | One-loop beta-function for an infinite-parameter family of gauge
theories | 17 pages, no figures | null | 10.1007/JHEP03(2015)030 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue to study an infinite-parametric family of gauge theories with an
arbitrary function of the self-dual part of the field strength as the
Lagrangian. The arising one-loop divergences are computed using the background
field method. We show that they can all be absorbed by a local redefinition of
the gauge field, as well as multiplicative renormalisations of the couplings.
Thus, this family of theories is one-loop renormalisable. The infinite set of
beta-functions for the couplings is compactly stored in a renormalisation group
flow for a single function of the curvature. The flow is obtained explicitly.
| [
{
"created": "Mon, 5 Jan 2015 13:12:49 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Krasnov",
"Kirill",
""
]
] | We continue to study an infinite-parametric family of gauge theories with an arbitrary function of the self-dual part of the field strength as the Lagrangian. The arising one-loop divergences are computed using the background field method. We show that they can all be absorbed by a local redefinition of the gauge field, as well as multiplicative renormalisations of the couplings. Thus, this family of theories is one-loop renormalisable. The infinite set of beta-functions for the couplings is compactly stored in a renormalisation group flow for a single function of the curvature. The flow is obtained explicitly. |
hep-th/9410220 | Victor Aldaya | V. Aldaya and J. Guerrero | Finite-Difference Equations in Relativistic Quantum Mechanics | 10 LaTeX pages, final version, enlarged (2 more pages) | J.Phys. A28 (1995) L137-L146 | 10.1088/0305-4470/28/4/005 | UG-FT-47/94 | hep-th | null | Relativistic Quantum Mechanics suffers from structural problems which are
traced back to the lack of a position operator $\hat{x}$, satisfying
$[\hat{x},\hat{p}]=i\hbar\hat{1}$ with the ordinary momentum operator
$\hat{p}$, in the basic symmetry group -- the Poincar\'e group. In this paper
we provide a finite-dimensional extension of the Poincar\'e group containing
only one more (in 1+1D) generator $\hat{\pi}$, satisfying the commutation
relation $[\hat{k},\hat{\pi}]=i\hbar\hat{1}$ with the ordinary boost generator
$\hat{k}$. The unitary irreducible representations are calculated and the
carrier space proves to be the set of Shapiro's wave functions. The generalized
equations of motion constitute a simple example of exactly solvable
finite-difference set of equations associated with infinite-order polarization
equations.
| [
{
"created": "Fri, 28 Oct 1994 11:47:01 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 1995 17:41:53 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Aldaya",
"V.",
""
],
[
"Guerrero",
"J.",
""
]
] | Relativistic Quantum Mechanics suffers from structural problems which are traced back to the lack of a position operator $\hat{x}$, satisfying $[\hat{x},\hat{p}]=i\hbar\hat{1}$ with the ordinary momentum operator $\hat{p}$, in the basic symmetry group -- the Poincar\'e group. In this paper we provide a finite-dimensional extension of the Poincar\'e group containing only one more (in 1+1D) generator $\hat{\pi}$, satisfying the commutation relation $[\hat{k},\hat{\pi}]=i\hbar\hat{1}$ with the ordinary boost generator $\hat{k}$. The unitary irreducible representations are calculated and the carrier space proves to be the set of Shapiro's wave functions. The generalized equations of motion constitute a simple example of exactly solvable finite-difference set of equations associated with infinite-order polarization equations. |
hep-th/0005045 | Dionisio Bazeia | D. Bazeia, F.A. Brito | Entrapment of a Network of Domain Walls | Revtex, 4 pages, 2 ps figures; version to appear in Phys. Rev. D,
Rapid Communication | Phys.Rev.D62:101701,2000 | 10.1103/PhysRevD.62.101701 | null | hep-th cond-mat.soft nlin.PS | null | We explore the idea of a network of defects to live inside a domain wall in
models of three real scalar fields, engendering the Z_2 x Z_3 symmetry. The
field that governs the Z_2 symmetry generates a domain wall, and entraps the
hexagonal network formed by the three-junctions of the model of two scalar
fields that describes the remaining Z_3 symmetry. If the host domain wall bends
to the spherical form, in the thin wall approximation there may appear
non-topological structures hosting networks that accept diverse patterns. If
Z_3 is also broken, the model may generate a buckyball containing sixty
junctions, a fullerene-like structure. Applications to cosmology are outlined.
| [
{
"created": "Thu, 4 May 2000 18:04:28 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2000 13:53:22 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Jul 2000 18:09:49 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Sep 2000 14:58:53 GMT",
"version": "v4"
}
] | 2009-12-30 | [
[
"Bazeia",
"D.",
""
],
[
"Brito",
"F. A.",
""
]
] | We explore the idea of a network of defects to live inside a domain wall in models of three real scalar fields, engendering the Z_2 x Z_3 symmetry. The field that governs the Z_2 symmetry generates a domain wall, and entraps the hexagonal network formed by the three-junctions of the model of two scalar fields that describes the remaining Z_3 symmetry. If the host domain wall bends to the spherical form, in the thin wall approximation there may appear non-topological structures hosting networks that accept diverse patterns. If Z_3 is also broken, the model may generate a buckyball containing sixty junctions, a fullerene-like structure. Applications to cosmology are outlined. |
hep-th/0404072 | Valentin V. Khoze | George Georgiou, Valentin V. Khoze | Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams | 22 pages, 2 figures, v2: Appendix and references added, v3: new
calculation of n-pt amplitudes with 4 fermions added + comments on scalars on
internal lines | JHEP 0405:070,2004 | 10.1088/1126-6708/2004/05/070 | null | hep-th hep-ph | null | It was proposed in hep-th/0403047 that all tree amplitudes in pure Yang-Mills
theory can be constructed from known MHV amplitudes. We apply this approach for
calculating tree amplitudes of gauge fields and fermions and find agreement
with known results.The formalism amounts to an effective scalar perturbation
theory which offers a much simpler alternative to the usual Feynman diagrams in
gauge theory and can be used for deriving new simple expressions for tree
amplitudes. At tree level the formalism works in a generic gauge theory, with
or without supersymmetry, and for a finite number of colours.
| [
{
"created": "Thu, 8 Apr 2004 20:38:13 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Apr 2004 11:56:34 GMT",
"version": "v2"
},
{
"created": "Sat, 1 May 2004 17:17:10 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Georgiou",
"George",
""
],
[
"Khoze",
"Valentin V.",
""
]
] | It was proposed in hep-th/0403047 that all tree amplitudes in pure Yang-Mills theory can be constructed from known MHV amplitudes. We apply this approach for calculating tree amplitudes of gauge fields and fermions and find agreement with known results.The formalism amounts to an effective scalar perturbation theory which offers a much simpler alternative to the usual Feynman diagrams in gauge theory and can be used for deriving new simple expressions for tree amplitudes. At tree level the formalism works in a generic gauge theory, with or without supersymmetry, and for a finite number of colours. |
hep-th/9809073 | Daniel Sternheimer | Moshe Flato | Two disjoint aspects of the deformation programme: quantizing Nambu
mechanics; singleton physics | 4 pages; to be published with AIP Press in Proceedings of the 1998
Lodz conference "Particles, Fields and Gravitation". LaTeX (compatibility
mode) with aipproc style | AIP Conf.Proc.453:49-52,1998 | 10.1063/1.57112 | null | hep-th math-ph math.MP | null | We present briefly the deformation philosophy and indicate, with references,
how it was applied to the quantization of Nambu mechanics and to particle
physics in anti De Sitter space.
| [
{
"created": "Thu, 10 Sep 1998 18:54:55 GMT",
"version": "v1"
}
] | 2010-12-13 | [
[
"Flato",
"Moshe",
""
]
] | We present briefly the deformation philosophy and indicate, with references, how it was applied to the quantization of Nambu mechanics and to particle physics in anti De Sitter space. |
1605.01061 | Steven Gubser | Steven S. Gubser, Johannes Knaute, Sarthak Parikh, Andreas Samberg,
and Przemek Witaszczyk | $p$-adic AdS/CFT | 53 pages, 6 figures. v2: Improved discussion of normalizations and
chordal distance | null | 10.1007/s00220-016-2813-6 | PUPT-2503 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a $p$-adic analog to AdS/CFT, where an unramified extension of
the $p$-adic numbers replaces Euclidean space as the boundary and a version of
the Bruhat-Tits tree replaces the bulk. Correlation functions are computed in
the simple case of a single massive scalar in the bulk, with results that are
strikingly similar to ordinary holographic correlation functions when expressed
in terms of local zeta functions. We give some brief discussion of the geometry
of $p$-adic chordal distance and of Wilson loops. Our presentation includes an
introduction to $p$-adic numbers.
| [
{
"created": "Tue, 3 May 2016 20:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 9 May 2016 19:11:27 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Gubser",
"Steven S.",
""
],
[
"Knaute",
"Johannes",
""
],
[
"Parikh",
"Sarthak",
""
],
[
"Samberg",
"Andreas",
""
],
[
"Witaszczyk",
"Przemek",
""
]
] | We construct a $p$-adic analog to AdS/CFT, where an unramified extension of the $p$-adic numbers replaces Euclidean space as the boundary and a version of the Bruhat-Tits tree replaces the bulk. Correlation functions are computed in the simple case of a single massive scalar in the bulk, with results that are strikingly similar to ordinary holographic correlation functions when expressed in terms of local zeta functions. We give some brief discussion of the geometry of $p$-adic chordal distance and of Wilson loops. Our presentation includes an introduction to $p$-adic numbers. |
hep-th/0104206 | Edward Teo | Roberto Emparan and Edward Teo | Macroscopic and Microscopic Description of Black Diholes | 29 pages, 3 figures, LaTeX; v2: reference added; v3: note added
drawing attention to some early work on diholes | Nucl.Phys. B610 (2001) 190-214 | 10.1016/S0550-3213(01)00319-4 | CERN-TH/2001-113 | hep-th gr-qc | null | We study configurations consisting of a pair of non-extremal black holes in
four dimensions, both with the same mass, and with charges of the same
magnitude but opposite sign---diholes, for short. We present such exact
solutions for Einstein-Maxwell theory with arbitrary dilaton coupling, and also
solutions to the U(1)^4 theories that arise from compactified string/M-theory.
Despite the fact that the solutions are very complicated, physical properties
of these black holes, such as their area, charge, and interaction energy, admit
simple expressions. We also succeed in providing a microscopic description of
the entropy of these black holes using the `effective string' model, and taking
into account the interaction between the effective string and anti-string.
| [
{
"created": "Tue, 24 Apr 2001 09:35:55 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2001 03:19:05 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Aug 2001 10:05:04 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Emparan",
"Roberto",
""
],
[
"Teo",
"Edward",
""
]
] | We study configurations consisting of a pair of non-extremal black holes in four dimensions, both with the same mass, and with charges of the same magnitude but opposite sign---diholes, for short. We present such exact solutions for Einstein-Maxwell theory with arbitrary dilaton coupling, and also solutions to the U(1)^4 theories that arise from compactified string/M-theory. Despite the fact that the solutions are very complicated, physical properties of these black holes, such as their area, charge, and interaction energy, admit simple expressions. We also succeed in providing a microscopic description of the entropy of these black holes using the `effective string' model, and taking into account the interaction between the effective string and anti-string. |
hep-th/9312201 | Ergin Sezgin | Z. Khviengia and E. Sezgin | On Nonlinear Superconformal Algebras With N > 4 | 9 pages, plain tex, CTP TAMU-71/93. (Contribution to the Proceedings
of the Trieste Summer School in High Energy Physics and Cosmology, 14 June-30
July 1993, Trieste, Italy.) | null | null | null | hep-th | null | We discuss the structure, realizations and quantum BRST operators of a class
of nonlinear superconformal algebras with N > 4.
| [
{
"created": "Tue, 28 Dec 1993 21:24:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Khviengia",
"Z.",
""
],
[
"Sezgin",
"E.",
""
]
] | We discuss the structure, realizations and quantum BRST operators of a class of nonlinear superconformal algebras with N > 4. |
0710.0452 | Diptiman Sen | B. Basu-Mallick, Nilanjan Bondyopadhaya, Diptiman Sen | Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin
chain | 40 pages including 2 figures; added some references; this version
will appear in Nuclear Physics B | Nucl.Phys.B795:596-622,2008 | 10.1016/j.nuclphysb.2007.11.021 | null | hep-th cond-mat.stat-mech nlin.SI | null | The ground state and low energy excitations of the SU(m|n) supersymmetric
Haldane-Shastry spin chain are analyzed. In the thermodynamic limit, it is
found that the ground state degeneracy is finite only for the SU(m|0) and
SU(m|1) spin chains, while the dispersion relation for the low energy and low
momentum excitations is linear for all values of m and n. We show that the low
energy excitations of the SU(m|1) spin chain are described by a conformal field
theory of m non-interacting Dirac fermions which have only positive energies;
the central charge of this theory is m/2. Finally, for n \ge 1, the partition
functions of the SU(m|n) Haldane-Shastry spin chain and the SU(m|n)
Polychronakos spin chain are shown to be related in a simple way in the
thermodynamic limit at low temperatures.
| [
{
"created": "Tue, 2 Oct 2007 08:09:18 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Nov 2007 05:02:48 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Basu-Mallick",
"B.",
""
],
[
"Bondyopadhaya",
"Nilanjan",
""
],
[
"Sen",
"Diptiman",
""
]
] | The ground state and low energy excitations of the SU(m|n) supersymmetric Haldane-Shastry spin chain are analyzed. In the thermodynamic limit, it is found that the ground state degeneracy is finite only for the SU(m|0) and SU(m|1) spin chains, while the dispersion relation for the low energy and low momentum excitations is linear for all values of m and n. We show that the low energy excitations of the SU(m|1) spin chain are described by a conformal field theory of m non-interacting Dirac fermions which have only positive energies; the central charge of this theory is m/2. Finally, for n \ge 1, the partition functions of the SU(m|n) Haldane-Shastry spin chain and the SU(m|n) Polychronakos spin chain are shown to be related in a simple way in the thermodynamic limit at low temperatures. |
2204.02417 | Stephen G. Naculich | Stephen G. Naculich and Theodore W. Wecker | Proof of a three-loop relation between the Regge limits of four-point
amplitudes in N=4 SYM and N=8 supergravity | 30 pages, 7 figures; v2: typo in eq. (5.5) corrected, published
version | null | null | BOW-PH-170 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A previously proposed all-loop-orders relation between the Regge limits of
four-point amplitudes of N=4 supersymmetric Yang-Mills theory and N=8
supergravity is established at the three-loop level. We show that the Regge
limit of known expressions for the amplitudes obtained using generalized
unitarity simplifies in both cases to a (modified) sum over three-loop ladder
and crossed-ladder scalar diagrams. This in turn is consistent with the result
obtained using the eikonal representation of the four-point gravity amplitude.
A possible exact three-loop relation between four-point amplitudes is also
considered.
| [
{
"created": "Tue, 5 Apr 2022 18:00:11 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jul 2022 16:31:05 GMT",
"version": "v2"
}
] | 2022-07-08 | [
[
"Naculich",
"Stephen G.",
""
],
[
"Wecker",
"Theodore W.",
""
]
] | A previously proposed all-loop-orders relation between the Regge limits of four-point amplitudes of N=4 supersymmetric Yang-Mills theory and N=8 supergravity is established at the three-loop level. We show that the Regge limit of known expressions for the amplitudes obtained using generalized unitarity simplifies in both cases to a (modified) sum over three-loop ladder and crossed-ladder scalar diagrams. This in turn is consistent with the result obtained using the eikonal representation of the four-point gravity amplitude. A possible exact three-loop relation between four-point amplitudes is also considered. |
1708.08936 | Guillaume Bossard | Guillaume Bossard, Martin Cederwall, Axel Kleinschmidt, Jakob
Palmkvist and Henning Samtleben | Generalised diffeomorphisms for E$_9$ | 38 pages, version to be published in PRD | Phys. Rev. D 96, 106022 (2017) | 10.1103/PhysRevD.96.106022 | CPHT-RR050.082017 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct generalised diffeomorphisms for E$_9$ exceptional field theory.
The transformations, which like in the E$_8$ case contain constrained local
transformations, close when acting on fields. This is the first example of a
generalised diffeomorphism algebra based on an infinite-dimensional Lie algebra
and an infinite-dimensional coordinate module. As a byproduct, we give a simple
generic expression for the invariant tensors used in any extended geometry. We
perform a generalised Scherk--Schwarz reduction and verify that our
transformations reproduce the structure of gauged supergravity in two
dimensions. The results are valid also for other affine algebras.
| [
{
"created": "Tue, 29 Aug 2017 18:00:34 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2017 16:46:54 GMT",
"version": "v2"
}
] | 2017-12-07 | [
[
"Bossard",
"Guillaume",
""
],
[
"Cederwall",
"Martin",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Palmkvist",
"Jakob",
""
],
[
"Samtleben",
"Henning",
""
]
] | We construct generalised diffeomorphisms for E$_9$ exceptional field theory. The transformations, which like in the E$_8$ case contain constrained local transformations, close when acting on fields. This is the first example of a generalised diffeomorphism algebra based on an infinite-dimensional Lie algebra and an infinite-dimensional coordinate module. As a byproduct, we give a simple generic expression for the invariant tensors used in any extended geometry. We perform a generalised Scherk--Schwarz reduction and verify that our transformations reproduce the structure of gauged supergravity in two dimensions. The results are valid also for other affine algebras. |
hep-th/9403055 | Ezra Getzler | Ezra Getzler and J. D. S. Jones | Operads, homotopy algebra and iterated integrals for double loop spaces | 70 pages | null | null | null | hep-th math.QA | null | This paper provides some background to the theory of operads, used in the
first author's papers on 2d topological field theory (hep-th/921204, CMP 159
(1994), 265-285; hep-th/9305013). It is intended for specialists.
| [
{
"created": "Tue, 8 Mar 1994 21:51:44 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Getzler",
"Ezra",
""
],
[
"Jones",
"J. D. S.",
""
]
] | This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended for specialists. |
1004.0563 | Mohammad Reza Setare | S. K. Moayedi, M. R. Setare and H. Moayeri | Quantum Gravitational Corrections to the Real Klein-Gordon Field in the
Presence of a Minimal Length | 10 pages, no figure | Int.J.Theor.Phys.49:2080-2088,2010 | 10.1007/s10773-010-0394-2 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The (D+1)-dimensional $(\beta,\beta')$-two-parameter Lorentz-covariant
deformed algebra introduced by Quesne and Tkachuk [C. Quesne and V. M. Tkachuk,
J. Phys. A: Math. Gen. \textbf {39}, 10909 (2006).], leads to a nonzero minimal
uncertainty in position (minimal length). The Klein-Gordon equation in a
(3+1)-dimensional space-time described by Quesne-Tkachuk Lorentz-covariant
deformed algebra is studied in the case where $\beta'=2\beta$ up to first order
over deformation parameter $\beta$. It is shown that the modified Klein-Gordon
equation which contains fourth-order derivative of the wave function describes
two massive particles with different masses. We have shown that physically
acceptable mass states can only exist for $\beta<\frac{1}{8m^{2}c^{2}}$ which
leads to an isotropic minimal length in the interval $10^{-17}m<(\bigtriangleup
X^{i})_{0}<10^{-15}m$. Finally, we have shown that the above estimation of
minimal length is in good agreement with the results obtained in previous
investigations.
| [
{
"created": "Mon, 5 Apr 2010 05:18:20 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Moayedi",
"S. K.",
""
],
[
"Setare",
"M. R.",
""
],
[
"Moayeri",
"H.",
""
]
] | The (D+1)-dimensional $(\beta,\beta')$-two-parameter Lorentz-covariant deformed algebra introduced by Quesne and Tkachuk [C. Quesne and V. M. Tkachuk, J. Phys. A: Math. Gen. \textbf {39}, 10909 (2006).], leads to a nonzero minimal uncertainty in position (minimal length). The Klein-Gordon equation in a (3+1)-dimensional space-time described by Quesne-Tkachuk Lorentz-covariant deformed algebra is studied in the case where $\beta'=2\beta$ up to first order over deformation parameter $\beta$. It is shown that the modified Klein-Gordon equation which contains fourth-order derivative of the wave function describes two massive particles with different masses. We have shown that physically acceptable mass states can only exist for $\beta<\frac{1}{8m^{2}c^{2}}$ which leads to an isotropic minimal length in the interval $10^{-17}m<(\bigtriangleup X^{i})_{0}<10^{-15}m$. Finally, we have shown that the above estimation of minimal length is in good agreement with the results obtained in previous investigations. |
1803.04172 | Shinji Hirano | Shinji Hirano, Yuki Sato | Giant graviton interactions and M2-branes ending on multiple M5-branes | 39 pages, 8 figures | null | 10.1007/JHEP05(2018)065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study splitting and joining interactions of giant gravitons with angular
momenta $N^{1/2}\ll J\ll N$ in the type IIB string theory on $AdS_5 \times S^5$
by describing them as instantons in the tiny graviton matrix model introduced
by Sheikh-Jabbari. At large $J$ the instanton equation can be mapped to the
four-dimensional Laplace equation and the Coulomb potential for $m$ point
charges in an $n$-sheeted Riemann space corresponds to the $m$-to-$n$
interaction process of giant gravitons. These instantons provide the
holographic dual of correlators of all semi-heavy operators and the instanton
amplitudes exactly agree with the pp-wave limit of Schur polynomial correlators
in ${\cal N}=4$ SYM computed by Corley, Jevicki and Ramgoolam.
By making a slight change of variables the same instanton equation is
mathematically transformed into the Basu-Harvey equation which describes the
system of M$2$-branes ending on M$5$-branes. As it turns out, the solutions to
the sourceless Laplace equation on an $n$-sheeted Riemann space correspond to
$n$ M5-branes connected by M2-branes and we find general solutions representing
M2-branes ending on multiple M5-branes. Among other solutions, the $n=3$ case
describes an M2-branes junction ending on three M5-branes. The effective theory
on the moduli space of our solutions might shed light on the low energy
effective theory of multiple M5-branes.
| [
{
"created": "Mon, 12 Mar 2018 10:27:03 GMT",
"version": "v1"
}
] | 2018-06-13 | [
[
"Hirano",
"Shinji",
""
],
[
"Sato",
"Yuki",
""
]
] | We study splitting and joining interactions of giant gravitons with angular momenta $N^{1/2}\ll J\ll N$ in the type IIB string theory on $AdS_5 \times S^5$ by describing them as instantons in the tiny graviton matrix model introduced by Sheikh-Jabbari. At large $J$ the instanton equation can be mapped to the four-dimensional Laplace equation and the Coulomb potential for $m$ point charges in an $n$-sheeted Riemann space corresponds to the $m$-to-$n$ interaction process of giant gravitons. These instantons provide the holographic dual of correlators of all semi-heavy operators and the instanton amplitudes exactly agree with the pp-wave limit of Schur polynomial correlators in ${\cal N}=4$ SYM computed by Corley, Jevicki and Ramgoolam. By making a slight change of variables the same instanton equation is mathematically transformed into the Basu-Harvey equation which describes the system of M$2$-branes ending on M$5$-branes. As it turns out, the solutions to the sourceless Laplace equation on an $n$-sheeted Riemann space correspond to $n$ M5-branes connected by M2-branes and we find general solutions representing M2-branes ending on multiple M5-branes. Among other solutions, the $n=3$ case describes an M2-branes junction ending on three M5-branes. The effective theory on the moduli space of our solutions might shed light on the low energy effective theory of multiple M5-branes. |
hep-th/0406269 | Kalmykov Mikhail | M.Yu.Kalmykov (Dubna, JINR) | Series and epsilon-expansion of the hypergeometric functions | 5 pages, to appear in the proceedings of 7th DESY Workshop on
Elementary Particle Theory "Loops and Legs in Quantum Field Theory", April 25
-30, 2004, Zinnowitz (Usedom Island), Germany | Nucl.Phys.Proc.Suppl.135 (2004) 280-284 | 10.1016/j.nuclphysbps.2004.09.029 | SFB/CPP-04-20 | hep-th hep-ph math-ph math.MP physics.comp-ph | null | Recent progress in analytical calculation of the multiple [inverse, binomial,
harmonic] sums, related with epsilon-expansion of the hypergeometric function
of one variable are discussed.
| [
{
"created": "Wed, 30 Jun 2004 10:12:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kalmykov",
"M. Yu.",
"",
"Dubna, JINR"
]
] | Recent progress in analytical calculation of the multiple [inverse, binomial, harmonic] sums, related with epsilon-expansion of the hypergeometric function of one variable are discussed. |
hep-th/0603071 | Tigran Tchrakian | Eugen Radu and D. H. Tchrakian | Self-dual instanton and nonself-dual instanton-antiinstanton solutions
in $d=4$ Yang-Mills theory | 12 pages, 5 Figures | Phys.Lett.B636:201-206,2006 | 10.1016/j.physletb.2006.03.055 | null | hep-th hep-lat hep-ph math-ph math.MP | null | Subjecting the SU(2) Yang--Mills system to azimuthal symmetries in both the
$x-y$ and the $z-t$ planes results in a residual subsystem described by a U(1)
Higgs like model with two complex scalar fields on the quarter plane. The
resulting instantons are labeled by integers $(m,n_1,n_2)$ with topological
charges $q=\frac12 [1-(-1)^m]n_1n_2$. Solutions are constructed numerically for
$m=1,2,3$ and a range of $n_1=n_2=n$. It is found that only the $m=1$
instantons are self-dual, the $m>1$ configurations describing composite
instanton-antiinstanton lumps.
| [
{
"created": "Thu, 9 Mar 2006 11:19:13 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Radu",
"Eugen",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | Subjecting the SU(2) Yang--Mills system to azimuthal symmetries in both the $x-y$ and the $z-t$ planes results in a residual subsystem described by a U(1) Higgs like model with two complex scalar fields on the quarter plane. The resulting instantons are labeled by integers $(m,n_1,n_2)$ with topological charges $q=\frac12 [1-(-1)^m]n_1n_2$. Solutions are constructed numerically for $m=1,2,3$ and a range of $n_1=n_2=n$. It is found that only the $m=1$ instantons are self-dual, the $m>1$ configurations describing composite instanton-antiinstanton lumps. |
hep-th/9902075 | Andre Leclair | A. Leclair and G. Mussardo | Finite Temperature Correlation Functions in Integrable QFT | 25 pages, 3 figures. In Latex. Uses Revtex | Nucl.Phys. B552 (1999) 624-642 | 10.1016/S0550-3213(99)00280-1 | null | hep-th cond-mat | null | Finite temperature correlation functions in integrable quantum field theories
are formulated only in terms of the usual, temperature-independent form
factors, and certain thermodynamic filling fractions which are determined from
the thermodynamic Bethe ansatz. Explicit expressions are given for the one and
two-point functions.
| [
{
"created": "Wed, 10 Feb 1999 22:14:34 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Leclair",
"A.",
""
],
[
"Mussardo",
"G.",
""
]
] | Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the thermodynamic Bethe ansatz. Explicit expressions are given for the one and two-point functions. |
hep-th/0304219 | Inyong Cho | Inyong Cho (LPT, Orsay) and Alexander Vilenkin (Tufts University) | Gravity of superheavy higher-dimensional global defects | 19 pages, revtex, 6 eps figures | Phys.Rev. D68 (2003) 025013 | 10.1103/PhysRevD.68.025013 | LPT-ORSAY 03-32 | hep-th gr-qc | null | Numerical solutions of Einstein's and scalar-field equations are found for a
global defect in a higher-dimensional spacetime. The defect has a
$(3+1)$-dimensional core and a ``hedgehog'' scalar-field configuration in $n=3$
extra dimensions. For sufficiently low symmetry-breaking scales $\eta$, the
solutions are characterized by a flat worldsheet geometry and a constant solid
deficit angle in the extra dimensions, in agreement with previous work. For
$\eta$ above the higher-dimensional Planck scale, we find that static-defect
solutions are singular. The singularity can be removed if the requirement of
staticity is relaxed and defect cores are allowed to inflate. We obtain an
analytic solution for the metric of such inflating defects at large distances
from the core. The three extra dimensions of the nonsingular solutions have a
``cigar'' geometry. Although our numerical solutions were obtained for defects
of codimension $n=3$, we argue that the conclusions are likely to apply to all
$n\geq 3$.
| [
{
"created": "Fri, 25 Apr 2003 16:51:45 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Cho",
"Inyong",
"",
"LPT, Orsay"
],
[
"Vilenkin",
"Alexander",
"",
"Tufts University"
]
] | Numerical solutions of Einstein's and scalar-field equations are found for a global defect in a higher-dimensional spacetime. The defect has a $(3+1)$-dimensional core and a ``hedgehog'' scalar-field configuration in $n=3$ extra dimensions. For sufficiently low symmetry-breaking scales $\eta$, the solutions are characterized by a flat worldsheet geometry and a constant solid deficit angle in the extra dimensions, in agreement with previous work. For $\eta$ above the higher-dimensional Planck scale, we find that static-defect solutions are singular. The singularity can be removed if the requirement of staticity is relaxed and defect cores are allowed to inflate. We obtain an analytic solution for the metric of such inflating defects at large distances from the core. The three extra dimensions of the nonsingular solutions have a ``cigar'' geometry. Although our numerical solutions were obtained for defects of codimension $n=3$, we argue that the conclusions are likely to apply to all $n\geq 3$. |
hep-th/9211009 | Jens UH Petersen | Jens UH Petersen | A Quadratic Deformation of the Heisenberg-Weyl and Quantum Oscillator
Enveloping Algebras | 23 pages of plain TeX (with phyzzx.tex macros). I've made a few minor
corrections and added 2 references | Int.J.Mod.Phys. A8 (1993) 3479-3494 | 10.1142/S0217751X93001399 | QMW-92/19 | hep-th cond-mat funct-an math.FA | null | A new 2-parameter quadratic deformation of the quantum oscillator algebra and
its 1-parameter deformed Heisenberg subalgebra are considered. An infinite
dimensional Fock module representation is presented which at roots of unity
contains null vectors and so is reducible to a finite dimensional
representation. The cyclic, nilpotent and unitary representations are
discussed. Witten's deformation of $sl_2$ and some deformed infinite
dimensional algebras are constructed from the $1d$ Heisenberg algebra
generators. The deformation of the centreless Virasoro algebra at roots of
unity is mentioned. Finally the $SL_q(2)$ symmetry of the deformed Heisenberg
algebra is explicitly constructed.
| [
{
"created": "Mon, 2 Nov 1992 15:29:25 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 1992 23:35:44 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Petersen",
"Jens UH",
""
]
] | A new 2-parameter quadratic deformation of the quantum oscillator algebra and its 1-parameter deformed Heisenberg subalgebra are considered. An infinite dimensional Fock module representation is presented which at roots of unity contains null vectors and so is reducible to a finite dimensional representation. The cyclic, nilpotent and unitary representations are discussed. Witten's deformation of $sl_2$ and some deformed infinite dimensional algebras are constructed from the $1d$ Heisenberg algebra generators. The deformation of the centreless Virasoro algebra at roots of unity is mentioned. Finally the $SL_q(2)$ symmetry of the deformed Heisenberg algebra is explicitly constructed. |
0803.3577 | Alexander Silenko | Alexander J. Silenko | Polarization of spin-1 particles without an anomalous magnetic moment in
a uniform magnetic field | 8 pages | Eur.Phys.J.C57:595-599,2008 | 10.1140/epjc/s10052-008-0701-8 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The polarization operator projections onto four directions remain unchanged
for spin-1 particles without an anomalous magnetic moment in a uniform magnetic
field. The approximate conservation of the polarization operator projections
onto the horizontal axes of the cylindrical coordinate system takes place.
| [
{
"created": "Tue, 25 Mar 2008 15:20:20 GMT",
"version": "v1"
}
] | 2009-02-16 | [
[
"Silenko",
"Alexander J.",
""
]
] | The polarization operator projections onto four directions remain unchanged for spin-1 particles without an anomalous magnetic moment in a uniform magnetic field. The approximate conservation of the polarization operator projections onto the horizontal axes of the cylindrical coordinate system takes place. |
hep-th/0203178 | Jose A. Magpantay | Jose A. Magpantay (National Institute of Physics, University of the
Philippines) | Effective "Gluon" Dynamics in a Stochastic Vacuum | 24 pages | null | null | null | hep-th | null | Using the new scalar and vector degrees of freedom derived from the
non-linear gauge condition (grad-dot-D)(grad-dot-A)=0, we show that the
effective dynamics of the vector fields (identified as ``gluons'') in the
stochastic vacuum defined by the scalars result in the vector fields acquiring
a range of possible masses and losing their self-interactions. From this range
of masses, we derive the mass gap in pure Yang-Mills theory. Finally, we
comment on the gauge-invariance of the result.
| [
{
"created": "Wed, 20 Mar 2002 07:40:36 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jul 2003 06:25:38 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Magpantay",
"Jose A.",
"",
"National Institute of Physics, University of the\n Philippines"
]
] | Using the new scalar and vector degrees of freedom derived from the non-linear gauge condition (grad-dot-D)(grad-dot-A)=0, we show that the effective dynamics of the vector fields (identified as ``gluons'') in the stochastic vacuum defined by the scalars result in the vector fields acquiring a range of possible masses and losing their self-interactions. From this range of masses, we derive the mass gap in pure Yang-Mills theory. Finally, we comment on the gauge-invariance of the result. |
hep-th/0203046 | Mikhail Iofa | Mikhail Z. Iofa (Skobeltsyn Institute of Nuclear Physics, Moscow State
University) | Dyonic Black Holes with String-Loop Corrections | Improved version. Discussion of the ambiguity of the prepotential
added. Mixing of the dilaton with other moduli properly taken into account.
Explanatory notes added | Int.J.Mod.Phys.A18:1903-1933,2003 | 10.1142/S0217751X03013740 | SINP-2002-7/691 | hep-th | null | In heterotic string theory compactified to four dimensions with N=2
supersymmetry, string-loop corrections to the universal sector of the
low-energy effective action are studied. Within the framework of N=2
supersymmetric formulation of the theory, in the first order in string coupling
constant, we solve the system of the loop-corrected Maxwell and Killing spinor
equations. Taking as the in-put the tree-level dyonic black hole solution, we
calculate string-loop corrections to the string tree-level metric and moduli of
dyonic black hole.
| [
{
"created": "Wed, 6 Mar 2002 08:57:12 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2002 08:09:20 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Mar 2002 08:52:57 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Mar 2002 11:23:15 GMT",
"version": "v4"
},
{
"created": "Tue, 7 May 2002 10:46:13 GMT",
"version": "v5"
},
{
"created": "Thu, 23 May 2002 09:01:39 GMT",
"version": "v6"
},
{
"created": "Mon, 7 Oct 2002 08:25:02 GMT",
"version": "v7"
}
] | 2014-11-18 | [
[
"Iofa",
"Mikhail Z.",
"",
"Skobeltsyn Institute of Nuclear Physics, Moscow State\n University"
]
] | In heterotic string theory compactified to four dimensions with N=2 supersymmetry, string-loop corrections to the universal sector of the low-energy effective action are studied. Within the framework of N=2 supersymmetric formulation of the theory, in the first order in string coupling constant, we solve the system of the loop-corrected Maxwell and Killing spinor equations. Taking as the in-put the tree-level dyonic black hole solution, we calculate string-loop corrections to the string tree-level metric and moduli of dyonic black hole. |
2108.04594 | Eran Palti | Ofer Aharony, Eran Palti | On Convexity of Charged Operators in CFTs and the Weak Gravity
Conjecture | 30 pages; v2: corrected discussion of scalar mesons in Banks-Zaks
fixed points and added references. v3: Modified the conjecture to hold for
d>2 dimensions | null | 10.1103/PhysRevD.104.126005 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The Weak Gravity Conjecture is typically stated as a bound on the
mass-to-charge ratio of a particle in the theory. Alternatively, it has been
proposed that its natural formulation is in terms of the existence of a
particle which is self-repulsive under all long-range forces. We propose a
closely related, but distinct, formulation, which is that it should correspond
to a particle with non-negative self-binding energy. This formulation is
particularly interesting in anti-de Sitter space, because it has a simple
conformal field theory (CFT) dual formulation: let $\Delta(q)$ be the dimension
of the lowest-dimension operator with charge $q$ under some global $U(1)$
symmetry, then $\Delta(q)$ must be a convex function of $q$. This formulation
avoids any reference to holographic dual forces or even to locality in
spacetime, and so we make a wild leap, and conjecture that such convexity of
the spectrum of charges holds for any (unitary) conformal field theory, not
just those that have weakly coupled and weakly curved duals. This Charge
Convexity Conjecture, and its natural generalization to larger global symmetry
groups, can be tested in various examples where anomalous dimensions can be
computed, by perturbation theory, $1/N$ expansions and semi-classical methods.
In all examples that we tested we find that the conjecture holds. We do not yet
understand from the CFT point of view why this is true.
| [
{
"created": "Tue, 10 Aug 2021 11:13:26 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Aug 2021 13:42:36 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Oct 2021 12:28:12 GMT",
"version": "v3"
}
] | 2021-12-15 | [
[
"Aharony",
"Ofer",
""
],
[
"Palti",
"Eran",
""
]
] | The Weak Gravity Conjecture is typically stated as a bound on the mass-to-charge ratio of a particle in the theory. Alternatively, it has been proposed that its natural formulation is in terms of the existence of a particle which is self-repulsive under all long-range forces. We propose a closely related, but distinct, formulation, which is that it should correspond to a particle with non-negative self-binding energy. This formulation is particularly interesting in anti-de Sitter space, because it has a simple conformal field theory (CFT) dual formulation: let $\Delta(q)$ be the dimension of the lowest-dimension operator with charge $q$ under some global $U(1)$ symmetry, then $\Delta(q)$ must be a convex function of $q$. This formulation avoids any reference to holographic dual forces or even to locality in spacetime, and so we make a wild leap, and conjecture that such convexity of the spectrum of charges holds for any (unitary) conformal field theory, not just those that have weakly coupled and weakly curved duals. This Charge Convexity Conjecture, and its natural generalization to larger global symmetry groups, can be tested in various examples where anomalous dimensions can be computed, by perturbation theory, $1/N$ expansions and semi-classical methods. In all examples that we tested we find that the conjecture holds. We do not yet understand from the CFT point of view why this is true. |
hep-th/9306156 | Keith R. Dienes | Keith R. Dienes | Recent Developments in Fractional Superstrings | 11 pages (LaTeX) [Talk presented at the SUSY-93 Conference
(Northeastern University) and at the MRST-15 "Walifest" Meeting (Syracuse
University). This is a condensed summary of material presented in
hep-th/9305093 and hep-th/9305094 .] | null | null | McGill/93-18 | hep-th | null | Fractional superstrings experience new types of ``internal projections''
which alter or deform their underlying worldsheet conformal field theories. In
this talk I summarize some recent results concerning both the worldsheet theory
which remains after the internal projections have acted, and the spacetime
statistics properties of its various sectors.
| [
{
"created": "Wed, 30 Jun 1993 04:04:39 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Dienes",
"Keith R.",
""
]
] | Fractional superstrings experience new types of ``internal projections'' which alter or deform their underlying worldsheet conformal field theories. In this talk I summarize some recent results concerning both the worldsheet theory which remains after the internal projections have acted, and the spacetime statistics properties of its various sectors. |
hep-th/0003166 | Katsuyuki Sugiyama | Katsuyuki Sugiyama (Kyoto Univ.) | Comments on Central Charge of Topological Sigma Model with Calabi-Yau
Target Space | 41 pages, no figure, Geometrical interpretations including mutations
are clarified in section 7. Final version to appear in Nucl Phys B591 (2000)
701-737 | Nucl.Phys. B591 (2000) 701-737 | 10.1016/S0550-3213(00)00567-8 | null | hep-th | null | We study a central charge Z of a one parameter family of Calabi-Yau d-fold
embedded in CP^{d+1}. For a d-fold case, we construct the Z concretely and
analyze charge vectors of D-branes and intersection forms of associated cycles.
We find the charges are described as some kinds of Mukai vectors. They are
represented as products of Chern characters of coherent sheaves restricted on
the Calabi-Yau hypersurfaces and square roots of A-roof genera of the d-folds.
By combining results of the topological sigma model and the data of the CFT
calculations in the Gepner model, we find that the Z is determined and is
specified by a set of integers. It labels boundary states in special classes
where associated states are represented as tensor products of boundary states
for constituent minimal models. The Z has a moduli parameter t that describes a
deformation of a moduli space in the open string channel with B-type boundary
conditions. Also monodromy matrices and homology cycles are investigated.
| [
{
"created": "Mon, 20 Mar 2000 04:38:28 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Aug 2000 10:01:55 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Oct 2000 07:55:23 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Sugiyama",
"Katsuyuki",
"",
"Kyoto Univ."
]
] | We study a central charge Z of a one parameter family of Calabi-Yau d-fold embedded in CP^{d+1}. For a d-fold case, we construct the Z concretely and analyze charge vectors of D-branes and intersection forms of associated cycles. We find the charges are described as some kinds of Mukai vectors. They are represented as products of Chern characters of coherent sheaves restricted on the Calabi-Yau hypersurfaces and square roots of A-roof genera of the d-folds. By combining results of the topological sigma model and the data of the CFT calculations in the Gepner model, we find that the Z is determined and is specified by a set of integers. It labels boundary states in special classes where associated states are represented as tensor products of boundary states for constituent minimal models. The Z has a moduli parameter t that describes a deformation of a moduli space in the open string channel with B-type boundary conditions. Also monodromy matrices and homology cycles are investigated. |
hep-th/0412312 | Yoshihisa Kitazawa | Y. Kitazawa, Y. Takayama and D. Tomino | Wilson Line Correlators in N=4 Non-commutative Gauge Theory on S^2 x S^2 | 33 pages, latex file,references added | Nucl.Phys.B715:665-694,2005 | 10.1016/j.nuclphysb.2005.02.022 | KEK-TH-1002 | hep-th | null | We investigate the Wilson line correlators dual to supergravity multiplets in
N=4 non-commutative gauge theory on S^2 x S^2. We find additional non-analytic
contributions to the correlators due to UV/IR mixing in comparison to ordinary
gauge theory. Although they are no longer BPS off shell, their renormalization
effects are finite as long as they carry finite momenta. We propose a
renormalization procedure to obtain local operators with no anomalous
dimensions in perturbation theory. We reflect on our results from dual
supergravity point of view. We show that supergravity can account for both IR
and UV/IR contributions.
| [
{
"created": "Tue, 28 Dec 2004 07:42:01 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2005 09:05:20 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Kitazawa",
"Y.",
""
],
[
"Takayama",
"Y.",
""
],
[
"Tomino",
"D.",
""
]
] | We investigate the Wilson line correlators dual to supergravity multiplets in N=4 non-commutative gauge theory on S^2 x S^2. We find additional non-analytic contributions to the correlators due to UV/IR mixing in comparison to ordinary gauge theory. Although they are no longer BPS off shell, their renormalization effects are finite as long as they carry finite momenta. We propose a renormalization procedure to obtain local operators with no anomalous dimensions in perturbation theory. We reflect on our results from dual supergravity point of view. We show that supergravity can account for both IR and UV/IR contributions. |
2306.08644 | Oliver Schlotterer | Eric D'Hoker, Martijn Hidding, Oliver Schlotterer | Constructing polylogarithms on higher-genus Riemann surfaces | 54 pages, 2 figures; v2: references added, expanded the discussion of
modular properties in sections 3 and 4 | null | null | null | hep-th math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An explicit construction is presented of homotopy-invariant iterated
integrals on a Riemann surface of arbitrary genus in terms of a flat connection
valued in a freely generated Lie algebra. The integration kernels consist of
modular tensors, built from convolutions of the Arakelov Green function and its
derivatives with holomorphic Abelian differentials, combined into a flat
connection. Our construction thereby produces explicit formulas for
polylogarithms as higher-genus modular tensors. This construction generalizes
the elliptic polylogarithms of Brown-Levin, and prompts future investigations
into the relation with the function spaces of higher-genus polylogarithms in
the work of Enriquez-Zerbini.
| [
{
"created": "Wed, 14 Jun 2023 17:20:50 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2023 15:15:50 GMT",
"version": "v2"
}
] | 2023-07-24 | [
[
"D'Hoker",
"Eric",
""
],
[
"Hidding",
"Martijn",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | An explicit construction is presented of homotopy-invariant iterated integrals on a Riemann surface of arbitrary genus in terms of a flat connection valued in a freely generated Lie algebra. The integration kernels consist of modular tensors, built from convolutions of the Arakelov Green function and its derivatives with holomorphic Abelian differentials, combined into a flat connection. Our construction thereby produces explicit formulas for polylogarithms as higher-genus modular tensors. This construction generalizes the elliptic polylogarithms of Brown-Levin, and prompts future investigations into the relation with the function spaces of higher-genus polylogarithms in the work of Enriquez-Zerbini. |
2406.19125 | Sayid Mondal | Feng-Li Lin and Sayid Mondal | Entanglement Harvesting and Quantum Discord of Alpha Vacua in de Sitter
Space | 32 pages, 19 figures, minor modifications, references added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The CPT invariant vacuum states of a scalar field in de Sitter space, called
$\alpha$-vacua, are not unique. We explore the $\alpha$-vacua from the quantum
information perspective by a pair of Unruh-DeWitt (UDW) detectors coupled to a
scalar field with either monopole or dipole coupling, which are in time-like
zero separation or space-like antipodal separation. The analytical form of the
reduced final state of the UDW detector is derived. We study the entanglement
harvesting and quantum discord of the reduced state, which characterize the
quantum entanglement and quantum correlation of the underlying $\alpha$-vacua,
respectively. Our results imply that the quantum entanglement gravitated by de
Sitter gravity behaves quite differently for time-like and space-like
separations. It experiences "sudden death" for the former and grows for the
latter as the measuring time or the value of $\alpha$ increases. This
demonstrates the nonlocal nature of quantum entanglement. For the quantum
discord, we find no "sudden death" behavior, and it experiences superhorizon
suppression, which explains the superhorizon decoherence in the inflationary
universe scenario. Overall, the time-like or space-like quantum entanglement
and correlation behave differently on their dependence of $\alpha$, measuring
time and spectral gaps, with details discussed in this work.
| [
{
"created": "Thu, 27 Jun 2024 12:16:07 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Aug 2024 05:52:15 GMT",
"version": "v2"
}
] | 2024-08-13 | [
[
"Lin",
"Feng-Li",
""
],
[
"Mondal",
"Sayid",
""
]
] | The CPT invariant vacuum states of a scalar field in de Sitter space, called $\alpha$-vacua, are not unique. We explore the $\alpha$-vacua from the quantum information perspective by a pair of Unruh-DeWitt (UDW) detectors coupled to a scalar field with either monopole or dipole coupling, which are in time-like zero separation or space-like antipodal separation. The analytical form of the reduced final state of the UDW detector is derived. We study the entanglement harvesting and quantum discord of the reduced state, which characterize the quantum entanglement and quantum correlation of the underlying $\alpha$-vacua, respectively. Our results imply that the quantum entanglement gravitated by de Sitter gravity behaves quite differently for time-like and space-like separations. It experiences "sudden death" for the former and grows for the latter as the measuring time or the value of $\alpha$ increases. This demonstrates the nonlocal nature of quantum entanglement. For the quantum discord, we find no "sudden death" behavior, and it experiences superhorizon suppression, which explains the superhorizon decoherence in the inflationary universe scenario. Overall, the time-like or space-like quantum entanglement and correlation behave differently on their dependence of $\alpha$, measuring time and spectral gaps, with details discussed in this work. |
1111.6533 | Duiliu-Emanuel Diaconescu | D.-E. Diaconescu, V. Shende, C. Vafa | Large N duality, lagrangian cycles, and algebraic knots | 53 pages, latex | Communications in Mathematical Physics 319.3 (2013), 813-863 | 10.1007/s00220-012-1563-3 | null | hep-th math.AG math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider knot invariants in the context of large $N$ transitions of
topological strings. In particular we consider aspects of Lagrangian cycles
associated to knots in the conifold geometry. We show how these can be
explicity constructed in the case of algebraic knots. We use this explicit
construction to explain a recent conjecture relating study of stable pairs on
algebraic curves with HOMFLY polynomials. Furthermore, for torus knots, using
the explicit construction of the Lagrangian cycle, we also give a direct
A-model computation and recover the HOMFLY polynomial for this case.
| [
{
"created": "Mon, 28 Nov 2011 18:09:39 GMT",
"version": "v1"
}
] | 2015-09-01 | [
[
"Diaconescu",
"D. -E.",
""
],
[
"Shende",
"V.",
""
],
[
"Vafa",
"C.",
""
]
] | We consider knot invariants in the context of large $N$ transitions of topological strings. In particular we consider aspects of Lagrangian cycles associated to knots in the conifold geometry. We show how these can be explicity constructed in the case of algebraic knots. We use this explicit construction to explain a recent conjecture relating study of stable pairs on algebraic curves with HOMFLY polynomials. Furthermore, for torus knots, using the explicit construction of the Lagrangian cycle, we also give a direct A-model computation and recover the HOMFLY polynomial for this case. |
hep-th/9504086 | null | Ashok Das and Marcelo Hott | THERMAL EFFECTS ON THE CATALYSIS BY A MAGNETIC FIELD | 10 pages, plain TeX | Phys.Rev.D53:2252-2255,1996 | 10.1103/PhysRevD.53.2252 | UR-1419, ER-40685-868 | hep-th | null | We show that the formation of condensates in the presence of a constant
magnetic field in 2+1 dimensions is extremely unstable. It disappears as soon
as a heat bath is introduced with or without a chemical potential. We point out
some new nonanalytic behavior that develops in this system at finite
temperature.
| [
{
"created": "Mon, 17 Apr 1995 19:20:08 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Das",
"Ashok",
""
],
[
"Hott",
"Marcelo",
""
]
] | We show that the formation of condensates in the presence of a constant magnetic field in 2+1 dimensions is extremely unstable. It disappears as soon as a heat bath is introduced with or without a chemical potential. We point out some new nonanalytic behavior that develops in this system at finite temperature. |
1205.2397 | Stephen Young | Elena Caceres and Steve Young | On the Stability of Non-Extremal Conifold Backgrounds with Sources | 34+16 pages, 26 figures. Published version | Phys. Rev. D87 046006 (2013) | 10.1103/PhysRevD.87.046006 | UTTG-07-12 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present finite temperature solutions describing N_c D5 branes wrapped on
the S^2 of the resolved conifold in the presence of N_f flavor brane sources
and their backreaction, i.e. N_f/N_c ~ 1. In these solutions the dilaton does
not blow up at infinity but stabilizes to a finite value. Thus, we can use them
to generate new ones with D5 and D3 charge. The resulting backgrounds are
non-extremal versions of the "flavored" resolved deformed conifold. It is
tempting to interpret these solutions as gravity duals of finite temperature
field theories exhibiting non-trivial phenomena as Seiberg dualities, Higgsing
and confinement. However, a first necessary step in this direction is to
investigate their stability. We study the specific heat of these new flavored
backgrounds and find that they are thermodynamically unstable. Our results on
the stability also apply to some of the non-extremal backgrounds with
Klebanov-Strassler asymptotics found in the literature.
| [
{
"created": "Thu, 10 May 2012 22:19:48 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jun 2012 07:00:58 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Apr 2013 13:58:07 GMT",
"version": "v3"
}
] | 2013-04-09 | [
[
"Caceres",
"Elena",
""
],
[
"Young",
"Steve",
""
]
] | We present finite temperature solutions describing N_c D5 branes wrapped on the S^2 of the resolved conifold in the presence of N_f flavor brane sources and their backreaction, i.e. N_f/N_c ~ 1. In these solutions the dilaton does not blow up at infinity but stabilizes to a finite value. Thus, we can use them to generate new ones with D5 and D3 charge. The resulting backgrounds are non-extremal versions of the "flavored" resolved deformed conifold. It is tempting to interpret these solutions as gravity duals of finite temperature field theories exhibiting non-trivial phenomena as Seiberg dualities, Higgsing and confinement. However, a first necessary step in this direction is to investigate their stability. We study the specific heat of these new flavored backgrounds and find that they are thermodynamically unstable. Our results on the stability also apply to some of the non-extremal backgrounds with Klebanov-Strassler asymptotics found in the literature. |
2401.06678 | Martin Sasieta | Gurbir Arora, Matthew Headrick, Albion Lawrence, Martin Sasieta,
Connor Wolfe | Geometric Surprises in the Python's Lunch Conjecture | Examples added and exposition improved; 62 pages | SciPost Phys. 16, 152 (2024) | 10.21468/SciPostPhys.16.6.152 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A bulge surface, on a time reflection-symmetric Cauchy slice of a holographic
spacetime, is a non-minimal extremal surface that occurs between two locally
minimal surfaces homologous to a given boundary region. According to the
python's lunch conjecture of Brown et al., the bulge's area controls the
complexity of bulk reconstruction, in the sense of the amount of post-selection
that needs to be overcome for the reconstruction of the entanglement wedge
beyond the outermost extremal surface. We study the geometry of bulges in a
variety of classical spacetimes, and discover a number of surprising features
that distinguish them from more familiar extremal surfaces such as
Ryu-Takayanagi surfaces: they spontaneously break spatial isometries, both
continuous and discrete; they are sensitive to the choice of boundary infrared
regulator; they can self-intersect; and they probe entanglement shadows,
orbifold singularities, and compact spaces such as the sphere in AdS$_p\times
S^q$. These features imply, according to the python's lunch conjecture, novel
qualitative differences between complexity and entanglement in the holographic
context. We also find, surprisingly, that extended black brane interiors have a
non-extensive complexity; similarly, for multi-boundary wormhole states, the
complexity pleateaus after a certain number of boundaries have been included.
| [
{
"created": "Fri, 12 Jan 2024 16:35:43 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Mar 2024 17:25:13 GMT",
"version": "v2"
}
] | 2024-06-12 | [
[
"Arora",
"Gurbir",
""
],
[
"Headrick",
"Matthew",
""
],
[
"Lawrence",
"Albion",
""
],
[
"Sasieta",
"Martin",
""
],
[
"Wolfe",
"Connor",
""
]
] | A bulge surface, on a time reflection-symmetric Cauchy slice of a holographic spacetime, is a non-minimal extremal surface that occurs between two locally minimal surfaces homologous to a given boundary region. According to the python's lunch conjecture of Brown et al., the bulge's area controls the complexity of bulk reconstruction, in the sense of the amount of post-selection that needs to be overcome for the reconstruction of the entanglement wedge beyond the outermost extremal surface. We study the geometry of bulges in a variety of classical spacetimes, and discover a number of surprising features that distinguish them from more familiar extremal surfaces such as Ryu-Takayanagi surfaces: they spontaneously break spatial isometries, both continuous and discrete; they are sensitive to the choice of boundary infrared regulator; they can self-intersect; and they probe entanglement shadows, orbifold singularities, and compact spaces such as the sphere in AdS$_p\times S^q$. These features imply, according to the python's lunch conjecture, novel qualitative differences between complexity and entanglement in the holographic context. We also find, surprisingly, that extended black brane interiors have a non-extensive complexity; similarly, for multi-boundary wormhole states, the complexity pleateaus after a certain number of boundaries have been included. |
0910.3287 | Pei-Ming Ho | Pei-Ming Ho, Xue-Yan Lin | A UV completion of scalar field theory in arbitrary even dimensions | 18 pages | JHEP 1001:032,2010 | 10.1007/JHEP01(2010)032 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following a previous work (hep-th/0410248), where a scalar field theory with
a modified propagator and phi^4 interaction in 4 dimensions is constructed to
be UV-finite, unitary and Lorentz invariant, we discuss in this paper general
phi^n theory in arbitrary even space-time dimensions. We show that the theory
is still UV-finite, unitary and Lorentz invariant if the propagators are chosen
to meet certain simple conditions depending on the space-time dimension but
independent of n. We also comment that our model is reminiscent of string
theory in the way UV divergence is avoided.
| [
{
"created": "Sat, 17 Oct 2009 09:12:17 GMT",
"version": "v1"
}
] | 2010-02-04 | [
[
"Ho",
"Pei-Ming",
""
],
[
"Lin",
"Xue-Yan",
""
]
] | Following a previous work (hep-th/0410248), where a scalar field theory with a modified propagator and phi^4 interaction in 4 dimensions is constructed to be UV-finite, unitary and Lorentz invariant, we discuss in this paper general phi^n theory in arbitrary even space-time dimensions. We show that the theory is still UV-finite, unitary and Lorentz invariant if the propagators are chosen to meet certain simple conditions depending on the space-time dimension but independent of n. We also comment that our model is reminiscent of string theory in the way UV divergence is avoided. |
1802.02175 | Leonard Susskind | Leonard Susskind | Black Holes and Complexity Classes | 13 pages, 3 figures | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is not known what the limitations are on using quantum computation to
speed up classical computation. An example would be the power to speed up
PSPACE-complete computations. It is also not known what the limitations are on
the duration of time over which classical general relativity can describe the
interior geometry of black holes. What is known is that these two questions are
closely connected: the longer GR can describe black holes, the more limited are
quantum computers. This conclusion, formulated as a theorem, is a result of
unpublished work done by Scott Aaronson and myself which I explain here.
| [
{
"created": "Tue, 6 Feb 2018 19:28:51 GMT",
"version": "v1"
}
] | 2018-02-08 | [
[
"Susskind",
"Leonard",
""
]
] | It is not known what the limitations are on using quantum computation to speed up classical computation. An example would be the power to speed up PSPACE-complete computations. It is also not known what the limitations are on the duration of time over which classical general relativity can describe the interior geometry of black holes. What is known is that these two questions are closely connected: the longer GR can describe black holes, the more limited are quantum computers. This conclusion, formulated as a theorem, is a result of unpublished work done by Scott Aaronson and myself which I explain here. |
2302.10222 | Yorgo Pano | Yorgo Pano, Andrea Puhm, Emilio Trevisani | Symmetries in Celestial CFT$_d$ | 56 pages + appendices, 3 figures | null | 10.1007/JHEP07(2023)076 | CPHT-RR071.122022 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use tools from conformal representation theory to classify the symmetries
associated to conformally soft operators in celestial CFT (CCFT) in general
dimensions $d$. The conformal multiplets in $d>2$ take the form of celestial
necklaces whose structure is much richer than the celestial diamonds in $d=2$,
it depends on whether $d$ is even or odd and involves mixed-symmetric tensor
representations of $SO(d)$. The existence of primary descendants in CCFT
multiplets corresponds to (higher derivative) conservation equations for
conformally soft operators. We lay out a unified method for constructing the
conserved charges associated to operators with primary descendants. In contrast
to the infinite local symmetry enhancement in CCFT${}_2$, we find the soft
symmetries in CCFT${}_{d>2}$ to be finite-dimensional. The conserved charges
that follow directly from soft theorems are trivial in $d>2$, while non-trivial
charges associated to (generalized) currents and stress tensor are obtained
from the shadow transform of soft operators which we relate to (an analytic
continuation of) a specific type of primary descendants. We aim at a
pedagogical discussion synthesizing various results in the literature.
| [
{
"created": "Mon, 20 Feb 2023 19:01:29 GMT",
"version": "v1"
}
] | 2023-08-02 | [
[
"Pano",
"Yorgo",
""
],
[
"Puhm",
"Andrea",
""
],
[
"Trevisani",
"Emilio",
""
]
] | We use tools from conformal representation theory to classify the symmetries associated to conformally soft operators in celestial CFT (CCFT) in general dimensions $d$. The conformal multiplets in $d>2$ take the form of celestial necklaces whose structure is much richer than the celestial diamonds in $d=2$, it depends on whether $d$ is even or odd and involves mixed-symmetric tensor representations of $SO(d)$. The existence of primary descendants in CCFT multiplets corresponds to (higher derivative) conservation equations for conformally soft operators. We lay out a unified method for constructing the conserved charges associated to operators with primary descendants. In contrast to the infinite local symmetry enhancement in CCFT${}_2$, we find the soft symmetries in CCFT${}_{d>2}$ to be finite-dimensional. The conserved charges that follow directly from soft theorems are trivial in $d>2$, while non-trivial charges associated to (generalized) currents and stress tensor are obtained from the shadow transform of soft operators which we relate to (an analytic continuation of) a specific type of primary descendants. We aim at a pedagogical discussion synthesizing various results in the literature. |
1204.3077 | Arttu Rajantie | Arttu Rajantie | Introduction to Magnetic Monopoles | 22 pages, 7 figures. To be published in Contemporary Physics | Contemporary Physics 53 (2012) 195 | 10.1080/00107514.2012.685693 | Imperial/TP/2012/AR/2 | hep-th hep-ph physics.pop-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One of the most basic properties of magnetism is that a magnet always has two
poles, north and south, which cannot be separated into isolated poles, i.e.,
magnetic monopoles. However, there are strong theoretical arguments why
magnetic monopoles should exist. In spite of extensive searches they have not
been found, but they have nevertheless played a central role in our
understanding of physics at the most fundamental level.
| [
{
"created": "Fri, 13 Apr 2012 19:01:27 GMT",
"version": "v1"
}
] | 2015-03-13 | [
[
"Rajantie",
"Arttu",
""
]
] | One of the most basic properties of magnetism is that a magnet always has two poles, north and south, which cannot be separated into isolated poles, i.e., magnetic monopoles. However, there are strong theoretical arguments why magnetic monopoles should exist. In spite of extensive searches they have not been found, but they have nevertheless played a central role in our understanding of physics at the most fundamental level. |
hep-th/9511204 | Ti-Ming Chiang | Ti-ming Chiang, Brian R. Greene, Mark Gross and Yakov Kanter | Black Hole Condensation and the Web of Calabi-Yau Manifolds | 23 pages, 3 postscript figures, uses vanilla.sty, harvmac | Nucl.Phys.Proc.Suppl. 46 (1996) 82-95 | null | CLNS-95/1376 | hep-th | null | We review recent work concerning topology changing phase transitions through
black hole condensation in Type II string theory. We then also briefly describe
a present study aimed at extending the known web of interconnections between
Calabi-Yau manifolds. We show, for instance, that all 7555 Calabi-Yau
hypersurfaces in weighted projective four space are mathematically connected by
extremal transitions.
| [
{
"created": "Wed, 29 Nov 1995 04:10:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chiang",
"Ti-ming",
""
],
[
"Greene",
"Brian R.",
""
],
[
"Gross",
"Mark",
""
],
[
"Kanter",
"Yakov",
""
]
] | We review recent work concerning topology changing phase transitions through black hole condensation in Type II string theory. We then also briefly describe a present study aimed at extending the known web of interconnections between Calabi-Yau manifolds. We show, for instance, that all 7555 Calabi-Yau hypersurfaces in weighted projective four space are mathematically connected by extremal transitions. |
hep-th/9207116 | null | M.P. Bellon, J-M. Maillard, G. Rollet, C-M. Viallet | Deformations of Dynamics Associated to the Chiral Potts Model | 11 pages, PAR--LPTHE 92--17, latex with amssymbols (change to amssymb
if you have newlatex) | Int.J.Mod.Phys. B6 (1992) 3575-3584 | 10.1142/S021797929200164X | null | hep-th | null | We describe deformations of non-linear (birational) representations of
discrete groups generated by involutions, having their origin in the theory of
the symmetric five-state Potts model. One of the deformation parameters can be
seen as the number $q$ of states of a chiral Potts models. This analogy becomes
exact when $q$ is a Fermat number. We analyze the stability of the
corresponding dynamics, with a particular attention to orbits of finite order.
| [
{
"created": "Fri, 31 Jul 1992 17:06:47 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Bellon",
"M. P.",
""
],
[
"Maillard",
"J-M.",
""
],
[
"Rollet",
"G.",
""
],
[
"Viallet",
"C-M.",
""
]
] | We describe deformations of non-linear (birational) representations of discrete groups generated by involutions, having their origin in the theory of the symmetric five-state Potts model. One of the deformation parameters can be seen as the number $q$ of states of a chiral Potts models. This analogy becomes exact when $q$ is a Fermat number. We analyze the stability of the corresponding dynamics, with a particular attention to orbits of finite order. |
hep-th/9810140 | Sudipta Mukherji | Sudipta Mukherji, Sudhakar Panda | Boundary Fluctuations of AdS String | 10 pages, harvmac, no figure | Phys.Lett. B451 (1999) 53-59 | 10.1016/S0370-2693(99)00193-8 | IFT-UAM/CSIC-98-14, MRI/PHY/P980961 | hep-th | null | We analyse the world-sheet perturbations of string theory formulated around
$AdS_3$ background. We identify a set of operators that, while added to the
world-sheet action, generate the boundary fluctuations of $AdS_3$. The effect
of these operators can be collectively defined in terms of Liouville field
living on the $AdS_3$ boundary. We then study various deformations of $AdS_3$
generated by boundary fluctuations by turning on suitable world-sheet
couplings. We also discuss certain small fluctuations around the BTZ black
hole.
| [
{
"created": "Mon, 19 Oct 1998 14:56:41 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Mukherji",
"Sudipta",
""
],
[
"Panda",
"Sudhakar",
""
]
] | We analyse the world-sheet perturbations of string theory formulated around $AdS_3$ background. We identify a set of operators that, while added to the world-sheet action, generate the boundary fluctuations of $AdS_3$. The effect of these operators can be collectively defined in terms of Liouville field living on the $AdS_3$ boundary. We then study various deformations of $AdS_3$ generated by boundary fluctuations by turning on suitable world-sheet couplings. We also discuss certain small fluctuations around the BTZ black hole. |
hep-th/9612083 | Dave Robertson | G. McCartor, D. G. Robertson and S. S. Pinsky | Vacuum Structure of Two-Dimensional Gauge Theories on the Light Front | 29 pages, uses RevTeX. Improved discussion of the physical subspace
generally and the vacuum states in particular. Basic conclusions are
unchanged, but some specific results are modified | Phys.Rev. D56 (1997) 1035-1049 | 10.1103/PhysRevD.56.1035 | SMUHEP/96-06, OHSTPY-HEP-T-96-034 | hep-th | null | We discuss the problem of vacuum structure in light-front field theory in the
context of (1+1)-dimensional gauge theories. We begin by reviewing the known
light-front solution of the Schwinger model, highlighting the issues that are
relevant for reproducing the $\theta$-structure of the vacuum. The most
important of these are the need to introduce degrees of freedom initialized on
two different null planes, the proper incorporation of gauge field zero modes
when periodicity conditions are used to regulate the infrared, and the
importance of carefully regulating singular operator products in a
gauge-invariant way. We then consider SU(2) Yang-Mills theory in 1+1 dimensions
coupled to massless adjoint fermions. With all fields in the adjoint
representation the gauge group is actually SU(2)$/Z_2$, which possesses
nontrivial topology. In particular, there are two topological sectors and the
physical vacuum state has a structure analogous to a $\theta$ vacuum. We
formulate the model using periodicity conditions in $x^\pm$ for infrared
regulation, and consider a solution in which the gauge field zero mode is
treated as a constrained operator. We obtain the expected $Z_2$ vacuum
structure, and verify that the discrete vacuum angle which enters has no effect
on the spectrum of the theory. We then calculate the chiral condensate, which
is sensitive to the vacuum structure. The result is nonzero, but inversely
proportional to the periodicity length, a situation which is familiar from the
Schwinger model. The origin of this behavior is discussed.
| [
{
"created": "Sun, 8 Dec 1996 16:19:59 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 1997 23:48:37 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"McCartor",
"G.",
""
],
[
"Robertson",
"D. G.",
""
],
[
"Pinsky",
"S. S.",
""
]
] | We discuss the problem of vacuum structure in light-front field theory in the context of (1+1)-dimensional gauge theories. We begin by reviewing the known light-front solution of the Schwinger model, highlighting the issues that are relevant for reproducing the $\theta$-structure of the vacuum. The most important of these are the need to introduce degrees of freedom initialized on two different null planes, the proper incorporation of gauge field zero modes when periodicity conditions are used to regulate the infrared, and the importance of carefully regulating singular operator products in a gauge-invariant way. We then consider SU(2) Yang-Mills theory in 1+1 dimensions coupled to massless adjoint fermions. With all fields in the adjoint representation the gauge group is actually SU(2)$/Z_2$, which possesses nontrivial topology. In particular, there are two topological sectors and the physical vacuum state has a structure analogous to a $\theta$ vacuum. We formulate the model using periodicity conditions in $x^\pm$ for infrared regulation, and consider a solution in which the gauge field zero mode is treated as a constrained operator. We obtain the expected $Z_2$ vacuum structure, and verify that the discrete vacuum angle which enters has no effect on the spectrum of the theory. We then calculate the chiral condensate, which is sensitive to the vacuum structure. The result is nonzero, but inversely proportional to the periodicity length, a situation which is familiar from the Schwinger model. The origin of this behavior is discussed. |
0905.1748 | Lara Anderson | Lara B. Anderson, James Gray, Andre Lukas, Burt Ovrut | Stability Walls in Heterotic Theories | 37 pages, 4 figures | JHEP 0909:026,2009 | 10.1088/1126-6708/2009/09/026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the sub-structure of the heterotic Kahler moduli space due to the
presence of non-Abelian internal gauge fields from the perspective of the
four-dimensional effective theory. Internal gauge fields can be supersymmetric
in some regions of the Kahler moduli space but break supersymmetry in others.
In the context of the four-dimensional theory, we investigate what happens when
the Kahler moduli are changed from the supersymmetric to the non-supersymmetric
region. Our results provide a low-energy description of supersymmetry breaking
by internal gauge fields as well as a physical picture for the mathematical
notion of bundle stability. Specifically, we find that at the transition
between the two regions an additional anomalous U(1) symmetry appears under
which some of the states in the low-energy theory acquire charges. We compute
the associated D-term contribution to the four-dimensional potential which
contains a Kahler-moduli dependent Fayet-Iliopoulos term and contributions from
the charged states. We show that this D-term correctly reproduces the expected
physics. Several mathematical conclusions concerning vector bundle stability
are drawn from our arguments. We also discuss possible physical applications of
our results to heterotic model building and moduli stabilization.
| [
{
"created": "Tue, 12 May 2009 01:27:21 GMT",
"version": "v1"
}
] | 2009-09-28 | [
[
"Anderson",
"Lara B.",
""
],
[
"Gray",
"James",
""
],
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt",
""
]
] | We study the sub-structure of the heterotic Kahler moduli space due to the presence of non-Abelian internal gauge fields from the perspective of the four-dimensional effective theory. Internal gauge fields can be supersymmetric in some regions of the Kahler moduli space but break supersymmetry in others. In the context of the four-dimensional theory, we investigate what happens when the Kahler moduli are changed from the supersymmetric to the non-supersymmetric region. Our results provide a low-energy description of supersymmetry breaking by internal gauge fields as well as a physical picture for the mathematical notion of bundle stability. Specifically, we find that at the transition between the two regions an additional anomalous U(1) symmetry appears under which some of the states in the low-energy theory acquire charges. We compute the associated D-term contribution to the four-dimensional potential which contains a Kahler-moduli dependent Fayet-Iliopoulos term and contributions from the charged states. We show that this D-term correctly reproduces the expected physics. Several mathematical conclusions concerning vector bundle stability are drawn from our arguments. We also discuss possible physical applications of our results to heterotic model building and moduli stabilization. |
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