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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2107.01219 | Zixia Wei | Hidetoshi Omiya, Zixia Wei | Causal Structures and Nonlocality in Double Holography | 53 + 10 pages, 16 figures; v2: minor corrections, comments and
references added | null | 10.1007/JHEP07(2022)128 | YITP-21-51 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Double holography plays a crucial role in recent studies of Hawking radiation
and information paradox by relating an intermediate picture, in which a
dynamical gravity living on an end-of-the-world brane is coupled to a
non-gravitational heat bath, to a much better-understood BCFT picture as well
as a bulk picture. In this paper, causal structures in generic double
holographic setups are studied. We find that the causal structure in the bulk
picture is compatible with causality in the BCFT picture, thanks to a
generalization of the Gao-Wald theorem. On the other hand, consistency with the
bulk causal structure requires the effective theory in the intermediate picture
to contain a special type of superluminal and nonlocal effect which is
significant at long range or IR. These are confirmed by both geometrical
analysis and commutators of microscopic fields. Subregion correspondences in
double holography are discussed with the knowledge of this nonlocality.
Possible fundamental origins of this nonlocality and its difference with other
types of nonlocality will also be discussed.
| [
{
"created": "Fri, 2 Jul 2021 18:00:13 GMT",
"version": "v1"
},
{
"created": "Tue, 31 May 2022 11:12:06 GMT",
"version": "v2"
}
] | 2022-08-10 | [
[
"Omiya",
"Hidetoshi",
""
],
[
"Wei",
"Zixia",
""
]
] | Double holography plays a crucial role in recent studies of Hawking radiation and information paradox by relating an intermediate picture, in which a dynamical gravity living on an end-of-the-world brane is coupled to a non-gravitational heat bath, to a much better-understood BCFT picture as well as a bulk picture. In this paper, causal structures in generic double holographic setups are studied. We find that the causal structure in the bulk picture is compatible with causality in the BCFT picture, thanks to a generalization of the Gao-Wald theorem. On the other hand, consistency with the bulk causal structure requires the effective theory in the intermediate picture to contain a special type of superluminal and nonlocal effect which is significant at long range or IR. These are confirmed by both geometrical analysis and commutators of microscopic fields. Subregion correspondences in double holography are discussed with the knowledge of this nonlocality. Possible fundamental origins of this nonlocality and its difference with other types of nonlocality will also be discussed. |
hep-th/9209028 | null | P. Menotti, G. Modanese and D. Seminara | The radial gauge propagators in quantum gravity | 38 pages, 1 fig. not available, LATEX, IFUP-TH-30/92 | Annals Phys. 224 (1993) 110-138 | 10.1006/aphy.1993.1041 | null | hep-th | null | We give a general procedure for extracting the propagators in gauge theories
in presence of a sharp gauge fixing and we apply it to derive the propagators
in quantum gravity in the radial gauge, both in the first and in the second
order formalism in any space-time dimension. In the three dimensional case such
propagators vanish except for singular collinear contributions, in agreement
with the absence of propagating gravitons.
| [
{
"created": "Wed, 9 Sep 1992 11:24:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Menotti",
"P.",
""
],
[
"Modanese",
"G.",
""
],
[
"Seminara",
"D.",
""
]
] | We give a general procedure for extracting the propagators in gauge theories in presence of a sharp gauge fixing and we apply it to derive the propagators in quantum gravity in the radial gauge, both in the first and in the second order formalism in any space-time dimension. In the three dimensional case such propagators vanish except for singular collinear contributions, in agreement with the absence of propagating gravitons. |
hep-th/0405153 | Ian J. Swanson | Curtis G. Callan, Jr., Tristan McLoughlin, Ian Swanson | Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit | 45 pages, LaTeX; notation and references corrected | Nucl.Phys.B700:271-312,2004 | 10.1016/j.nuclphysb.2004.08.025 | CALT-68-2499, PUPT-2116 | hep-th | null | The pp-wave/BMN limit of the AdS/CFT correspondence has exposed the Maldacena
conjecture to a new regimen of direct tests. In one line of pursuit,
finite-radius curvature corrections to the Penrose limit (which appear in
inverse powers of the string angular momentum J) have been found to induce a
complicated system of interaction perturbations to string theory on the
pp-wave; these have been successfully matched to corresponding corrections to
the BMN dimensions of N=4 super Yang-Mills (SYM) operators to two loops in the
't Hooft coupling lambda. This result is tempered by a well-established
breakdown in the correspondence at three loops. Notwithstanding the third-order
mismatch, we proceed with this line of investigation by subjecting the string
and gauge theories to new and significantly more rigorous tests. Specifically,
we extend our earlier results at O(1/J) in the curvature expansion to include
string states and SYM operators with three worldsheet or R-charge impurities.
In accordance with the two-impurity problem, we find a perfect and intricate
agreement between both sides of the correspondence to two-loop order in lambda
and, once again, the string and gauge theory predictions fail to agree at third
order.
| [
{
"created": "Mon, 17 May 2004 22:46:32 GMT",
"version": "v1"
},
{
"created": "Tue, 25 May 2004 21:30:18 GMT",
"version": "v2"
}
] | 2012-08-27 | [
[
"Callan,",
"Curtis G.",
"Jr."
],
[
"McLoughlin",
"Tristan",
""
],
[
"Swanson",
"Ian",
""
]
] | The pp-wave/BMN limit of the AdS/CFT correspondence has exposed the Maldacena conjecture to a new regimen of direct tests. In one line of pursuit, finite-radius curvature corrections to the Penrose limit (which appear in inverse powers of the string angular momentum J) have been found to induce a complicated system of interaction perturbations to string theory on the pp-wave; these have been successfully matched to corresponding corrections to the BMN dimensions of N=4 super Yang-Mills (SYM) operators to two loops in the 't Hooft coupling lambda. This result is tempered by a well-established breakdown in the correspondence at three loops. Notwithstanding the third-order mismatch, we proceed with this line of investigation by subjecting the string and gauge theories to new and significantly more rigorous tests. Specifically, we extend our earlier results at O(1/J) in the curvature expansion to include string states and SYM operators with three worldsheet or R-charge impurities. In accordance with the two-impurity problem, we find a perfect and intricate agreement between both sides of the correspondence to two-loop order in lambda and, once again, the string and gauge theory predictions fail to agree at third order. |
hep-th/0010162 | Chung-Chieh Lee | Chung-Chieh Lee, Choon-Lin Ho | Recurrent dynamical symmetry breaking and restoration by Wilson lines at
finite densities on a torus | 17 pages, 2 figures | Phys.Rev.D62:085021,2000 | 10.1103/PhysRevD.62.085021 | null | hep-th | null | In this paper we derive the general expression of a one-loop effective
potential of the nonintegrable phases of Wilson lines for an SU(N) gauge theory
with a massless adjoint fermion defined on the spactime manifold
$R^{1,d-3}\times T^2$ at finite temperature and fermion density. The Phase
structure of the vacuum is presented for the case with $d=4$ and N=2 at zero
temperature. It is found that gauge symmetry is broken and restored alternately
as the fermion density increases, a feature not found in the Higgs mechanism.
It is the manifestation of the quantum effects of the nonintegrable phases.
| [
{
"created": "Thu, 19 Oct 2000 09:01:48 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lee",
"Chung-Chieh",
""
],
[
"Ho",
"Choon-Lin",
""
]
] | In this paper we derive the general expression of a one-loop effective potential of the nonintegrable phases of Wilson lines for an SU(N) gauge theory with a massless adjoint fermion defined on the spactime manifold $R^{1,d-3}\times T^2$ at finite temperature and fermion density. The Phase structure of the vacuum is presented for the case with $d=4$ and N=2 at zero temperature. It is found that gauge symmetry is broken and restored alternately as the fermion density increases, a feature not found in the Higgs mechanism. It is the manifestation of the quantum effects of the nonintegrable phases. |
hep-th/0601104 | Monica Dance | M. Dance | Symmetry limitations on quantum mechanical observers, and conjectured
link with string theory | 7 pages | null | null | null | hep-th | null | This paper tentatively conjectures a possible physical picture that may help
explain links between quantum field theories and string theories. A
correspondence might occur if the stringy parameters $\tau $ and $\sigma_i $
are interpreted as representing particular types of observer capabilities.
Observer limitations could be imposed by symmetries of relevant quantum
mechanical observer states. It is possible that this postulate may in future be
able to go a small way towards understanding a physical basis for some of the
dualities that have been found in string/field theory.
| [
{
"created": "Mon, 16 Jan 2006 12:21:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dance",
"M.",
""
]
] | This paper tentatively conjectures a possible physical picture that may help explain links between quantum field theories and string theories. A correspondence might occur if the stringy parameters $\tau $ and $\sigma_i $ are interpreted as representing particular types of observer capabilities. Observer limitations could be imposed by symmetries of relevant quantum mechanical observer states. It is possible that this postulate may in future be able to go a small way towards understanding a physical basis for some of the dualities that have been found in string/field theory. |
0708.1248 | Konstantinos Zoubos | James Bedford, Constantinos Papageorgakis and Konstantinos Zoubos | Twistor Strings with Flavour | 38+12 pages; uses axodraw.sty. v2: References added, minor
clarifications | JHEP 0711:088,2007 | 10.1088/1126-6708/2007/11/088 | QMUL-PH-07-13, CERN-PH-TH/2007-117, TIFR/TH/07-13 | hep-th | null | We explore the tree-level description of a class of N=2 UV-finite SYM
theories with fundamental flavour within a topological B-model twistor string
framework. In particular, we identify the twistor dual of the Sp(N) gauge
theory with one antisymmetric and four fundamental hypermultiplets, as well as
that of the SU(N) theory with 2N hypermultiplets. This is achieved by suitably
orientifolding/orbifolding the original N=4 setup of Witten and adding a
certain number of new topological 'flavour'-branes at the orientifold/orbifold
fixed planes to provide the fundamental matter. We further comment on the
appearance of these objects in the B-model on CP(3|4). An interesting aspect of
our construction is that, unlike the IIB description of these theories in terms
of D3 and D7-branes, on the twistor side part of the global flavour symmetry is
realised geometrically. We provide evidence for this correspondence by
calculating and matching amplitudes on both sides.
| [
{
"created": "Thu, 9 Aug 2007 16:00:23 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Sep 2007 09:59:06 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Bedford",
"James",
""
],
[
"Papageorgakis",
"Constantinos",
""
],
[
"Zoubos",
"Konstantinos",
""
]
] | We explore the tree-level description of a class of N=2 UV-finite SYM theories with fundamental flavour within a topological B-model twistor string framework. In particular, we identify the twistor dual of the Sp(N) gauge theory with one antisymmetric and four fundamental hypermultiplets, as well as that of the SU(N) theory with 2N hypermultiplets. This is achieved by suitably orientifolding/orbifolding the original N=4 setup of Witten and adding a certain number of new topological 'flavour'-branes at the orientifold/orbifold fixed planes to provide the fundamental matter. We further comment on the appearance of these objects in the B-model on CP(3|4). An interesting aspect of our construction is that, unlike the IIB description of these theories in terms of D3 and D7-branes, on the twistor side part of the global flavour symmetry is realised geometrically. We provide evidence for this correspondence by calculating and matching amplitudes on both sides. |
2401.03075 | Yuri Gomes | Y.M.P.Gomes | Non-Hermitian Dirac theory from Lindbladian dynamics | null | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | This study investigates the intricate relationship between dissipative
processes of open quantum systems and the non-Hermitian quantum field theory of
relativistic fermionic systems. By examining the influence of dissipative
effects on Dirac fermions via Lindblad formalism, we elucidate the effects of
the coupling of relativistic Dirac particles with the environment. Employing
rigorous theoretical analysis, we explore the impact of dissipative
interactions and find the Lyapunov equation of the relativistic
dissipation-driven fermionic system. By use of a thermal ansatz, one finds the
solution to the Lyapunov equations in terms of a stationary Wigner
distribution. Our results describe a non-hermitian fermionic system and provide
valuable insights into dissipative quantum phenomena' fundamental mechanisms in
relativistic fermionic systems, advancing our understanding of their behavior
in non-equilibrium scenarios.
| [
{
"created": "Fri, 5 Jan 2024 22:18:38 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Aug 2024 19:20:20 GMT",
"version": "v2"
}
] | 2024-08-08 | [
[
"Gomes",
"Y. M. P.",
""
]
] | This study investigates the intricate relationship between dissipative processes of open quantum systems and the non-Hermitian quantum field theory of relativistic fermionic systems. By examining the influence of dissipative effects on Dirac fermions via Lindblad formalism, we elucidate the effects of the coupling of relativistic Dirac particles with the environment. Employing rigorous theoretical analysis, we explore the impact of dissipative interactions and find the Lyapunov equation of the relativistic dissipation-driven fermionic system. By use of a thermal ansatz, one finds the solution to the Lyapunov equations in terms of a stationary Wigner distribution. Our results describe a non-hermitian fermionic system and provide valuable insights into dissipative quantum phenomena' fundamental mechanisms in relativistic fermionic systems, advancing our understanding of their behavior in non-equilibrium scenarios. |
hep-th/9912183 | Lorenzo Magnea | Alberto Frizzo, Lorenzo Magnea and Rodolfo Russo | Scalar field theory limits of bosonic string amplitudes | 35 pages, LaTeX with epsf, 11 figures. Misprints corrected, version
to be published on Nucl. Phys. B | Nucl.Phys. B579 (2000) 379-410 | 10.1016/S0550-3213(00)00200-5 | DFTT 68/99, NEIP-99-022 | hep-th hep-ph | null | We describe in detail the techniques needed to compute scattering amplitudes
for colored scalars from the infinite tension limit of bosonic string theory,
up to two loops. These techniques apply both to cubic and quartic interactions,
and to planar as well as non-planar diagrams. The resulting field theories are
naturally defined in the space-time dimension in which they are renormalizable.
With a careful analysis of string moduli space in the Schottky representation
we determine the region of integration for the moduli, which plays a crucial
role in the derivation of the correct combinatorial and color factors for all
diagrams.
| [
{
"created": "Mon, 20 Dec 1999 22:34:07 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Mar 2000 11:17:32 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Frizzo",
"Alberto",
""
],
[
"Magnea",
"Lorenzo",
""
],
[
"Russo",
"Rodolfo",
""
]
] | We describe in detail the techniques needed to compute scattering amplitudes for colored scalars from the infinite tension limit of bosonic string theory, up to two loops. These techniques apply both to cubic and quartic interactions, and to planar as well as non-planar diagrams. The resulting field theories are naturally defined in the space-time dimension in which they are renormalizable. With a careful analysis of string moduli space in the Schottky representation we determine the region of integration for the moduli, which plays a crucial role in the derivation of the correct combinatorial and color factors for all diagrams. |
1505.00255 | Jaewon Song | Prarit Agarwal, Kenneth Intriligator and Jaewon Song | Infinitely many N=1 dualities from $m+1-m=1$ | 42 pages, 30 figures | null | null | UCSD-PTH-14-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss two infinite classes of 4d supersymmetric theories, ${T}_N^{(m)}$
and ${\cal U}_N^{(m)}$, labelled by an arbitrary non-negative integer, $m$. The
${T}_N^{(m)}$ theory arises from the 6d, $A_{N-1}$ type ${\cal N}=(2,0)$ theory
reduced on a 3-punctured sphere, with normal bundle given by line bundles of
degree $(m+1, -m)$; the $m=0$ case is the ${\cal N}=2$ supersymmetric $T_N$
theory. The novelty is the negative-degree line bundle. The ${\cal U}_N^{(m)}$
theories likewise arise from the 6d ${\cal N}=(2,0)$ theory on a 4-punctured
sphere, and can be regarded as gluing together two (partially Higgsed)
${T}_N^{(m)}$ theories. The ${T}_N^{(m)}$ and ${\cal U}_N^{(m)}$ theories can
be represented, in various duality frames, as quiver gauge theories, built from
$T_N$ components via gauging and nilpotent Higgsing. We analyze the RG flow of
the ${\cal U}_N^{(m)}$ theories, and find that, for all integer $m>0$, they end
up at the same IR SCFT as $SU(N)$ SQCD with $2N$ flavors and quartic
superpotential. The ${\cal U}_N^{(m)}$ theories can thus be regarded as an
infinite set of UV completions, dual to SQCD with $N_f=2N_c$. The ${\cal
U}_N^{(m)}$ duals have different duality frame quiver representations, with
$2m+1$ gauge nodes.
| [
{
"created": "Fri, 1 May 2015 19:30:07 GMT",
"version": "v1"
}
] | 2015-05-04 | [
[
"Agarwal",
"Prarit",
""
],
[
"Intriligator",
"Kenneth",
""
],
[
"Song",
"Jaewon",
""
]
] | We discuss two infinite classes of 4d supersymmetric theories, ${T}_N^{(m)}$ and ${\cal U}_N^{(m)}$, labelled by an arbitrary non-negative integer, $m$. The ${T}_N^{(m)}$ theory arises from the 6d, $A_{N-1}$ type ${\cal N}=(2,0)$ theory reduced on a 3-punctured sphere, with normal bundle given by line bundles of degree $(m+1, -m)$; the $m=0$ case is the ${\cal N}=2$ supersymmetric $T_N$ theory. The novelty is the negative-degree line bundle. The ${\cal U}_N^{(m)}$ theories likewise arise from the 6d ${\cal N}=(2,0)$ theory on a 4-punctured sphere, and can be regarded as gluing together two (partially Higgsed) ${T}_N^{(m)}$ theories. The ${T}_N^{(m)}$ and ${\cal U}_N^{(m)}$ theories can be represented, in various duality frames, as quiver gauge theories, built from $T_N$ components via gauging and nilpotent Higgsing. We analyze the RG flow of the ${\cal U}_N^{(m)}$ theories, and find that, for all integer $m>0$, they end up at the same IR SCFT as $SU(N)$ SQCD with $2N$ flavors and quartic superpotential. The ${\cal U}_N^{(m)}$ theories can thus be regarded as an infinite set of UV completions, dual to SQCD with $N_f=2N_c$. The ${\cal U}_N^{(m)}$ duals have different duality frame quiver representations, with $2m+1$ gauge nodes. |
hep-th/0208230 | Martin Porrmann | Martin Porrmann | Particle Weights and their Disintegration I | 33 pages, amslatex, mathptm, minor corrections including numbering
scheme | Commun.Math.Phys. 248 (2004) 269-304 | 10.1007/s00220-004-1092-9 | null | hep-th | null | The notion of Wigner particles is attached to irreducible unitary
representations of the Poincare group, characterized by parameters m and s of
mass and spin, respectively. However, the Lorentz symmetry is broken in
theories with long-range interactions, rendering this approach inapplicable
(infraparticle problem). A unified treatment of both particles and
infraparticles via the concept of particle weights can be given within the
framework of Local Quantum Physics. They arise as temporal limits of physical
states in the vacuum sector and describe the asymptotic particle content. In
this paper their definition and characteristic properties are worked out in
detail. The existence of the temporal limits is established by use of suitably
defined seminorms which are also essential in proving the characteristic
features of particle weights.
| [
{
"created": "Fri, 30 Aug 2002 17:05:27 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 2002 18:32:38 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Porrmann",
"Martin",
""
]
] | The notion of Wigner particles is attached to irreducible unitary representations of the Poincare group, characterized by parameters m and s of mass and spin, respectively. However, the Lorentz symmetry is broken in theories with long-range interactions, rendering this approach inapplicable (infraparticle problem). A unified treatment of both particles and infraparticles via the concept of particle weights can be given within the framework of Local Quantum Physics. They arise as temporal limits of physical states in the vacuum sector and describe the asymptotic particle content. In this paper their definition and characteristic properties are worked out in detail. The existence of the temporal limits is established by use of suitably defined seminorms which are also essential in proving the characteristic features of particle weights. |
hep-th/9711071 | Christopher Barnes | Chris Barnes, Neil Turok | A Technique for Calculating Quantum Corrections to Solitons | 8 pages, RevTex, 5 figures included. Submitted to Physics Letters B | null | null | null | hep-th | null | We present a numerical scheme for calculating the first quantum corrections
to the properties of static solitons. The technique is applicable to solitons
of arbitrary shape, and may be used in 3+1 dimensions for multiskyrmions or
other complicated solitons. We report on a test computation in 1+1 dimensions,
where we accurately reproduce the analytical result with minimal numerical
effort.
| [
{
"created": "Mon, 10 Nov 1997 17:32:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Barnes",
"Chris",
""
],
[
"Turok",
"Neil",
""
]
] | We present a numerical scheme for calculating the first quantum corrections to the properties of static solitons. The technique is applicable to solitons of arbitrary shape, and may be used in 3+1 dimensions for multiskyrmions or other complicated solitons. We report on a test computation in 1+1 dimensions, where we accurately reproduce the analytical result with minimal numerical effort. |
0806.3364 | Keith R. Dienes | Keith R. Dienes, Brooks Thomas | Building a Nest at Tree Level: Classical Metastability and Non-Trivial
Vacuum Structure in Supersymmetric Field Theories | 13 pages, ReVTeX, 3 figures, 2 tables | Phys.Rev.D78:106011,2008 | 10.1103/PhysRevD.78.106011 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is becoming increasingly clear that metastable vacua may play a prominent
role in supersymmetry-breaking. To date, however, this idea has been realized
only in models where non-perturbative dynamics complicates the analysis of
metastability. In this paper, we present a simple construction in which
metastable vacua occur classically, i.e., at tree-level, and in which
supersymmetry-breaking is sourced by both D-terms and F-terms. All relevant
dynamics is perturbative, and hence calculations of vacuum energies and
lifetimes can be performed explicitly. Moreover, we find that our construction
can even give rise to multiple non-supersymmetric vacua which are degenerate.
The non-trivial vacuum structure of such models therefore suggests that they
can provide a rich arena for future studies of vacuum metastability in
supersymmetric field theories. Our results may also have important consequences
for Z' phenomenology and the string landscape.
| [
{
"created": "Fri, 20 Jun 2008 11:21:26 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Oct 2008 05:44:19 GMT",
"version": "v2"
}
] | 2009-02-18 | [
[
"Dienes",
"Keith R.",
""
],
[
"Thomas",
"Brooks",
""
]
] | It is becoming increasingly clear that metastable vacua may play a prominent role in supersymmetry-breaking. To date, however, this idea has been realized only in models where non-perturbative dynamics complicates the analysis of metastability. In this paper, we present a simple construction in which metastable vacua occur classically, i.e., at tree-level, and in which supersymmetry-breaking is sourced by both D-terms and F-terms. All relevant dynamics is perturbative, and hence calculations of vacuum energies and lifetimes can be performed explicitly. Moreover, we find that our construction can even give rise to multiple non-supersymmetric vacua which are degenerate. The non-trivial vacuum structure of such models therefore suggests that they can provide a rich arena for future studies of vacuum metastability in supersymmetric field theories. Our results may also have important consequences for Z' phenomenology and the string landscape. |
0908.4331 | Michael Mattes Dr. | M. Mattes and M. Sorg | Gauge-Invariant Energy Functional in Relativistic Schroedinger Theory | 178 pages and 7 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The non-invariant energy functional of the preceding paper is improved in
order to obtain its gauge-invariant form by strictly taking into account the
non-Abelian character of Relativistic Schroedinger Theory (RST). As an
application of the results, the dichotomy of positronium with respect to
singlet and triplet states is discussed (ortho- and para-positronium). The
degeneracy of the ortho- and para-states occurs in RST if (i) the magnetic
interactions are neglected (as in the conventional theory) and (ii) the
anisotropy of the electric interaction potential is disregarded. In view of
such a very crude approximation procedure, the non-relativistic positronium
spectrum in RST agrees amazingly well with the conventional predictions.
| [
{
"created": "Sat, 29 Aug 2009 13:55:03 GMT",
"version": "v1"
}
] | 2009-09-01 | [
[
"Mattes",
"M.",
""
],
[
"Sorg",
"M.",
""
]
] | The non-invariant energy functional of the preceding paper is improved in order to obtain its gauge-invariant form by strictly taking into account the non-Abelian character of Relativistic Schroedinger Theory (RST). As an application of the results, the dichotomy of positronium with respect to singlet and triplet states is discussed (ortho- and para-positronium). The degeneracy of the ortho- and para-states occurs in RST if (i) the magnetic interactions are neglected (as in the conventional theory) and (ii) the anisotropy of the electric interaction potential is disregarded. In view of such a very crude approximation procedure, the non-relativistic positronium spectrum in RST agrees amazingly well with the conventional predictions. |
2307.11634 | Antonio Pittelli | Daniele Iannotti and Antonio Pittelli | Twisted Index on Hyperbolic Four-Manifolds | 22 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the topologically twisted index for four-dimensional $\mathcal
N=1$ gauge theories quantized on ${\rm AdS}_2 \times S^1$. We compute the index
by applying supersymmetric localization to partition functions of vector and
chiral multiplets on ${\rm AdS}_2 \times T^2$, with and without a boundary: in
both instances we classify normalizability and boundary conditions for gauge,
matter and ghost fields. The index is twisted as the dynamical fields are
coupled to a R-symmetry background 1-form with non-trivial exterior derivative
and proportional to the spin connection. After regularization the index is
written in terms of elliptic gamma functions, reminiscent of four-dimensional
holomorphic blocks, and crucially depends on the R-charge.
| [
{
"created": "Fri, 21 Jul 2023 14:57:30 GMT",
"version": "v1"
}
] | 2023-07-24 | [
[
"Iannotti",
"Daniele",
""
],
[
"Pittelli",
"Antonio",
""
]
] | We introduce the topologically twisted index for four-dimensional $\mathcal N=1$ gauge theories quantized on ${\rm AdS}_2 \times S^1$. We compute the index by applying supersymmetric localization to partition functions of vector and chiral multiplets on ${\rm AdS}_2 \times T^2$, with and without a boundary: in both instances we classify normalizability and boundary conditions for gauge, matter and ghost fields. The index is twisted as the dynamical fields are coupled to a R-symmetry background 1-form with non-trivial exterior derivative and proportional to the spin connection. After regularization the index is written in terms of elliptic gamma functions, reminiscent of four-dimensional holomorphic blocks, and crucially depends on the R-charge. |
2111.11076 | Fabrizio Nesti | Alessio Maiezza, Fabrizio Nesti | Parity from gauge symmetry | 7 pages, version to appear in EPJC | null | 10.1140/epjc/s10052-022-10390-1 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that Left-Right parity symmetry $\mathcal{P}$ can arise as a
discrete remnant of a unified gauge symmetry. The high-energy unification
necessarily includes the gauging of the Lorentz symmetry, bringing into the
game gravitational interactions, and leading to a gravi-GUT scheme. Parity
emerges unbroken below the Planck scale, and can be broken spontaneously at
lower energies making contact with the Standard Model. This framework motivates
the spontaneous origin of parity violation as in Left-Right symmetric theories
with $\mathcal{P}$. The possible unifying gauge groups are identified as
SO(1,7) for gravitational and weak interactions, or SO(7,7) for a complete
unification.
| [
{
"created": "Mon, 22 Nov 2021 09:40:34 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2022 13:42:07 GMT",
"version": "v2"
}
] | 2022-06-15 | [
[
"Maiezza",
"Alessio",
""
],
[
"Nesti",
"Fabrizio",
""
]
] | We argue that Left-Right parity symmetry $\mathcal{P}$ can arise as a discrete remnant of a unified gauge symmetry. The high-energy unification necessarily includes the gauging of the Lorentz symmetry, bringing into the game gravitational interactions, and leading to a gravi-GUT scheme. Parity emerges unbroken below the Planck scale, and can be broken spontaneously at lower energies making contact with the Standard Model. This framework motivates the spontaneous origin of parity violation as in Left-Right symmetric theories with $\mathcal{P}$. The possible unifying gauge groups are identified as SO(1,7) for gravitational and weak interactions, or SO(7,7) for a complete unification. |
hep-th/0001030 | Samik Sen | Samik Sen, Siddhartha Sen, James C. Sexton and David H. Adams | A geometric discretisation scheme applied to the Abelian Chern-Simons
theory | 27 pages, 5 figures, 6 tables. in latex | Phys.Rev. E61 (2000) 3174-3185 | 10.1103/PhysRevE.61.3174 | TCDMATH 99-18 | hep-th | null | We give a detailed general description of a recent geometrical discretisation
scheme and illustrate, by explicit numerical calculation, the scheme's ability
to capture topological features. The scheme is applied to the Abelian
Chern-Simons theory and leads, after a necessary field doubling, to an
expression for the discrete partition function in terms of untwisted
Reidemeister torsion and of various triangulation dependent factors. The
discrete partition function is evaluated computationally for various
triangulations of $S^3$ and of lens spaces. The results confirm that the
discretisation scheme is triangulation independent and coincides with the
continuum partition function
| [
{
"created": "Fri, 7 Jan 2000 13:19:34 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Sen",
"Samik",
""
],
[
"Sen",
"Siddhartha",
""
],
[
"Sexton",
"James C.",
""
],
[
"Adams",
"David H.",
""
]
] | We give a detailed general description of a recent geometrical discretisation scheme and illustrate, by explicit numerical calculation, the scheme's ability to capture topological features. The scheme is applied to the Abelian Chern-Simons theory and leads, after a necessary field doubling, to an expression for the discrete partition function in terms of untwisted Reidemeister torsion and of various triangulation dependent factors. The discrete partition function is evaluated computationally for various triangulations of $S^3$ and of lens spaces. The results confirm that the discretisation scheme is triangulation independent and coincides with the continuum partition function |
2004.11254 | Silvia Nagy | Andres Luna, Silvia Nagy and Chris White | The convolutional double copy: a case study with a point | 15 pages | null | 10.1007/JHEP09(2020)062 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The double copy relates scattering amplitudes in gauge and gravity theories.
It has also been extended to classical solutions, and a number of approaches
have been developed for doing so. One of these involves expressing fields in a
variety of (super-)gravity theories in terms of convolutions of gauge fields,
including also BRST ghost degrees of freedom that map neatly to their
corresponding counterparts in gravity. In this paper, we spell out how to use
the convolutional double copy to map gauge and gravity solutions in the
manifest Lorenz and de Donder gauges respectively. We then apply this to a
particular example, namely the point charge in pure gauge theory. As well as
clarifying how to use the convolutional approach, our results provide an
alternative point of view on a recent discussion concerning whether point
charges map to the Schwarzschild solution, or the more general two-parameter
JNW solution, which includes a dilaton field. We confirm the latter.
| [
{
"created": "Thu, 23 Apr 2020 15:34:44 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2020 16:55:14 GMT",
"version": "v2"
}
] | 2020-10-13 | [
[
"Luna",
"Andres",
""
],
[
"Nagy",
"Silvia",
""
],
[
"White",
"Chris",
""
]
] | The double copy relates scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, and a number of approaches have been developed for doing so. One of these involves expressing fields in a variety of (super-)gravity theories in terms of convolutions of gauge fields, including also BRST ghost degrees of freedom that map neatly to their corresponding counterparts in gravity. In this paper, we spell out how to use the convolutional double copy to map gauge and gravity solutions in the manifest Lorenz and de Donder gauges respectively. We then apply this to a particular example, namely the point charge in pure gauge theory. As well as clarifying how to use the convolutional approach, our results provide an alternative point of view on a recent discussion concerning whether point charges map to the Schwarzschild solution, or the more general two-parameter JNW solution, which includes a dilaton field. We confirm the latter. |
1308.3865 | Alexander Kovner | Ibrahim Burak Ilhan and Alex Kovner | The Curious Case of an Effective Theory | 12 pages | Phys. Rev. D 88, 125004 (2013) | 10.1103/PhysRevD.88.125004 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe an effective theory of a scalar field, motivated by some features
expected in the low energy theory of gluodynamics in 3+1 dimensions. The theory
describes two propagating massless particles in a certain limit, which we
identify with the Abelian QED limit, and has classical string solutions in the
general case. The string solutions are somewhat unusual as they are multiply
degenerate due to spontaneous breaking of diffeomorphism invariance.
Nevertheless all solutions yield identical electric field and have the same
string tension.
| [
{
"created": "Sun, 18 Aug 2013 14:52:26 GMT",
"version": "v1"
}
] | 2013-12-16 | [
[
"Ilhan",
"Ibrahim Burak",
""
],
[
"Kovner",
"Alex",
""
]
] | We describe an effective theory of a scalar field, motivated by some features expected in the low energy theory of gluodynamics in 3+1 dimensions. The theory describes two propagating massless particles in a certain limit, which we identify with the Abelian QED limit, and has classical string solutions in the general case. The string solutions are somewhat unusual as they are multiply degenerate due to spontaneous breaking of diffeomorphism invariance. Nevertheless all solutions yield identical electric field and have the same string tension. |
1608.06589 | Marcus Khuri | Aghil Alaee, Marcus Khuri, Hari Kunduri | Relating Mass to Angular Momentum and Charge in 5-Dimensional Minimal
Supergravity | 42 pages; final version | Ann. Henri Poincare, 18 (2017), no. 5, 1703-1753 | 10.1007/s00023-016-0542-1 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove a mass-angular momentum-charge inequality for a broad class of
maximal, asymptotically flat, bi-axisymmetric initial data within the context
of five-dimensional minimal supergravity. We further show that the charged
Myers-Perry black hole initial data are the unique minimizers. In addition, we
establish a rigidity statement for the relevant BPS bound, and give a
variational characterization of BMPV black holes.
| [
{
"created": "Tue, 23 Aug 2016 17:35:36 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Apr 2017 03:27:02 GMT",
"version": "v2"
}
] | 2018-03-28 | [
[
"Alaee",
"Aghil",
""
],
[
"Khuri",
"Marcus",
""
],
[
"Kunduri",
"Hari",
""
]
] | We prove a mass-angular momentum-charge inequality for a broad class of maximal, asymptotically flat, bi-axisymmetric initial data within the context of five-dimensional minimal supergravity. We further show that the charged Myers-Perry black hole initial data are the unique minimizers. In addition, we establish a rigidity statement for the relevant BPS bound, and give a variational characterization of BMPV black holes. |
1602.00788 | Harun Omer | Harun Omer | Matrix Factorizations for Local F-Theory Models | 29 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I use matrix factorizations to describe branes at simple singularities as
they appear in elliptic fibrations of local F-theory models. Each node of the
corresponding Dynkin diagrams of the ADE-type singularities is associated with
one indecomposable matrix factorization which can be deformed into one or more
factorizations of lower rank. Branes with internal fluxes arise naturally as
bound states of the indecomposable factorizations. Describing branes in such a
way avoids the need to resolve singularities and encodes information which is
neglected in conventional F-theory treatments. This paper aims to show how
branes arising in local F-theory models around simple singularities can be
described in this framework.
| [
{
"created": "Tue, 2 Feb 2016 04:57:35 GMT",
"version": "v1"
}
] | 2016-02-03 | [
[
"Omer",
"Harun",
""
]
] | I use matrix factorizations to describe branes at simple singularities as they appear in elliptic fibrations of local F-theory models. Each node of the corresponding Dynkin diagrams of the ADE-type singularities is associated with one indecomposable matrix factorization which can be deformed into one or more factorizations of lower rank. Branes with internal fluxes arise naturally as bound states of the indecomposable factorizations. Describing branes in such a way avoids the need to resolve singularities and encodes information which is neglected in conventional F-theory treatments. This paper aims to show how branes arising in local F-theory models around simple singularities can be described in this framework. |
hep-th/0209149 | Mauricio Cataldo | M. Cataldo | Duality mappings within three-dimensional nonlinear electrodynamics | 9 pages, Latex, accepted in Phys. Lett. B | Phys.Lett. B546 (2002) 287-299 | 10.1016/S0370-2693(02)02703-X | null | hep-th | null | In three-dimensional Einstein-Maxwell gravity the electrostatic
Banados-Teitelboim-Zanelli solution and the magnetostatic Hirschmann-Welch
solution are connected by a duality mapping. Here we point out that a similar
duality mapping exists among circularly symmetric electrostatic and
magnetostatic spacetimes, and electric and magnetic stationary solutions, for a
nonlinear electrodynamics coupled to three-dimensional Einstein gravity.
| [
{
"created": "Wed, 18 Sep 2002 15:38:23 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Cataldo",
"M.",
""
]
] | In three-dimensional Einstein-Maxwell gravity the electrostatic Banados-Teitelboim-Zanelli solution and the magnetostatic Hirschmann-Welch solution are connected by a duality mapping. Here we point out that a similar duality mapping exists among circularly symmetric electrostatic and magnetostatic spacetimes, and electric and magnetic stationary solutions, for a nonlinear electrodynamics coupled to three-dimensional Einstein gravity. |
1507.03164 | Syoji Zeze | Syoji Zeze | A Matrix model from string field theory | 16 pages, 4 figures, section 3 improved for publication | Front.Phys. 4 (2016) 39 | 10.3389/fphy.2016.00039 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that a Hermitian matrix model can be derived from level
truncated open string field theory with Chan-Paton factors. The Hermitian
matrix is coupled with a scalar and a $U(N)$ vector which are responsible for
the D-brane at the tachyon vacuum. Effective potential for the scalar is
evaluated both in finite and large $N$. Increase of potential height is
observed in both examples. The large $N$ matrix integral is identified with a
system of $N$ ZZ branes and a ghost FZZT brane.
| [
{
"created": "Sat, 11 Jul 2015 22:39:30 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2016 09:57:59 GMT",
"version": "v2"
}
] | 2016-09-20 | [
[
"Zeze",
"Syoji",
""
]
] | We demonstrate that a Hermitian matrix model can be derived from level truncated open string field theory with Chan-Paton factors. The Hermitian matrix is coupled with a scalar and a $U(N)$ vector which are responsible for the D-brane at the tachyon vacuum. Effective potential for the scalar is evaluated both in finite and large $N$. Increase of potential height is observed in both examples. The large $N$ matrix integral is identified with a system of $N$ ZZ branes and a ghost FZZT brane. |
hep-th/0305045 | J. Antonio Garcia Zenteno | Ignacio Cortese and J. Antonio Garcia | Lagrangian and Noncommutativity | 25 pag. Latex. Reference added | null | null | null | hep-th gr-qc math-ph math.MP physics.class-ph | null | We analyze the relation between the concept of auxiliary variables and the
Inverse problem of the calculus of variations to construct a Lagrangian from a
given set of equations of motion. The problem of the construction of a
consistent second order dynamics from a given first order dynamics is
investigated. At the level of equations of motion we find that this reduction
process is consistent provided that the mapping of the boundary data be taken
properly into account. At the level of the variational principle we analyze the
obstructions to construct a second order Lagrangian from a first order one and
give an explicit formal non-local Lagrangian that reproduce the second order
projected dynamics. Finally we apply our ideas to the so called
``Noncommutative classical dynamics''.
| [
{
"created": "Wed, 7 May 2003 00:18:02 GMT",
"version": "v1"
},
{
"created": "Tue, 13 May 2003 19:24:14 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Cortese",
"Ignacio",
""
],
[
"Garcia",
"J. Antonio",
""
]
] | We analyze the relation between the concept of auxiliary variables and the Inverse problem of the calculus of variations to construct a Lagrangian from a given set of equations of motion. The problem of the construction of a consistent second order dynamics from a given first order dynamics is investigated. At the level of equations of motion we find that this reduction process is consistent provided that the mapping of the boundary data be taken properly into account. At the level of the variational principle we analyze the obstructions to construct a second order Lagrangian from a first order one and give an explicit formal non-local Lagrangian that reproduce the second order projected dynamics. Finally we apply our ideas to the so called ``Noncommutative classical dynamics''. |
2405.03768 | Fernando Ezquerro Sastre | Manuel Asorey, Claudio Iuliano and Fernando Ezquerro | Casimir Energy in (2 + 1)-Dimensional Field Theories | null | Physics 2024, 6(2), 613-628 | 10.3390/physics6020040 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the dependence of vacuum energy on the boundary conditions for
massive scalar fields in (2 + 1)-dimensional spacetimes. We consider the
simplest geometrical setup given by a two-dimensional space bounded by two
homogeneous parallel wires in order to compare it with the non-perturbative
behaviour of the Casimir energy for non-Abelian gauge theories in (2 + 1)
dimensions. Our results show the existence of two types of boundary conditions
which give rise to two different asymptotic exponential decay regimes of the
Casimir energy at large distances. The two families are distinguished by the
feature that the boundary conditions involve or not interrelations between the
behaviour of the fields at the two boundaries. Non-perturbative numerical
simulations and analytical arguments show such an exponential decay for
Dirichlet boundary conditions of SU(2) gauge theories. The verification that
this behaviour is modified for other types of boundary conditions requires
further numerical work. Subdominant corrections in the low-temperature regime
are very relevant for numerical simulations, and they are also analysed in this
paper.
| [
{
"created": "Mon, 6 May 2024 18:08:31 GMT",
"version": "v1"
}
] | 2024-05-08 | [
[
"Asorey",
"Manuel",
""
],
[
"Iuliano",
"Claudio",
""
],
[
"Ezquerro",
"Fernando",
""
]
] | We explore the dependence of vacuum energy on the boundary conditions for massive scalar fields in (2 + 1)-dimensional spacetimes. We consider the simplest geometrical setup given by a two-dimensional space bounded by two homogeneous parallel wires in order to compare it with the non-perturbative behaviour of the Casimir energy for non-Abelian gauge theories in (2 + 1) dimensions. Our results show the existence of two types of boundary conditions which give rise to two different asymptotic exponential decay regimes of the Casimir energy at large distances. The two families are distinguished by the feature that the boundary conditions involve or not interrelations between the behaviour of the fields at the two boundaries. Non-perturbative numerical simulations and analytical arguments show such an exponential decay for Dirichlet boundary conditions of SU(2) gauge theories. The verification that this behaviour is modified for other types of boundary conditions requires further numerical work. Subdominant corrections in the low-temperature regime are very relevant for numerical simulations, and they are also analysed in this paper. |
hep-th/0009246 | Barton Zwiebach | Joseph A. Minahan and Barton Zwiebach | Effective Tachyon Dynamics in Superstring Theory | 10 pages, 1 figure, LaTeX | JHEP 0103:038,2001 | 10.1088/1126-6708/2001/03/038 | CTP-MIT-3027, UUITP-09/00 | hep-th | null | A recently proposed \ell=\infty field theory model of tachyon dynamics for
unstable bosonic D-branes has been shown to arise as the two-derivative
truncation of (boundary)-string field theory. Using an \ell\to \infty limit
appropriate to stable kinks we obtain a model for the tachyon dynamics on
unstable D-branes or D-brane anti-D-brane pairs of superstring theory. The
tachyon potential is a positive definite even function of the tachyon, and at
the stable global minima there is no on-shell dynamics. The kink solution
mimics nicely the properties of stable D-branes: the spectrum of the kink
consists of infinite levels starting at zero mass, with spacing double the
value of the tachyon mass-squared. It is natural to expect that this model will
arise in (boundary) superstring field theory.
| [
{
"created": "Fri, 29 Sep 2000 17:37:38 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Minahan",
"Joseph A.",
""
],
[
"Zwiebach",
"Barton",
""
]
] | A recently proposed \ell=\infty field theory model of tachyon dynamics for unstable bosonic D-branes has been shown to arise as the two-derivative truncation of (boundary)-string field theory. Using an \ell\to \infty limit appropriate to stable kinks we obtain a model for the tachyon dynamics on unstable D-branes or D-brane anti-D-brane pairs of superstring theory. The tachyon potential is a positive definite even function of the tachyon, and at the stable global minima there is no on-shell dynamics. The kink solution mimics nicely the properties of stable D-branes: the spectrum of the kink consists of infinite levels starting at zero mass, with spacing double the value of the tachyon mass-squared. It is natural to expect that this model will arise in (boundary) superstring field theory. |
1211.4024 | Benjamin Shlaer | Benjamin Shlaer | Chaotic Brane Inflation | Journal version, includes kinetic steepening possibility | Phys. Rev. D 88, 103503 (2013) | 10.1103/PhysRevD.88.103503 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We illustrate a framework for constructing models of chaotic inflation where
the inflaton is the position of a D3 brane along the universal cover of a
string compactification. In our scenario, a brane rolls many times around a
non-trivial one-cycle, thereby unwinding a Ramond-Ramond flux. These "flux
monodromies" are similar in spirit to the monodromies of Silverstein, Westphal,
and McAllister, and their four-dimensional description is that of Kaloper and
Sorbo. Assuming moduli stabilization is rigid enough, the large-field
inflationary potential is protected from radiative corrections by a discrete
shift symmetry.
| [
{
"created": "Fri, 16 Nov 2012 20:59:49 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Feb 2013 18:57:21 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Mar 2014 01:32:08 GMT",
"version": "v3"
}
] | 2014-03-19 | [
[
"Shlaer",
"Benjamin",
""
]
] | We illustrate a framework for constructing models of chaotic inflation where the inflaton is the position of a D3 brane along the universal cover of a string compactification. In our scenario, a brane rolls many times around a non-trivial one-cycle, thereby unwinding a Ramond-Ramond flux. These "flux monodromies" are similar in spirit to the monodromies of Silverstein, Westphal, and McAllister, and their four-dimensional description is that of Kaloper and Sorbo. Assuming moduli stabilization is rigid enough, the large-field inflationary potential is protected from radiative corrections by a discrete shift symmetry. |
hep-th/9508132 | null | Nemanja Kaloper | Hidden Finite Symmetries in String Theory and Duality of Dualities | 13 pages, latex, no figures. Reference to a paper by P.S. Aspinwall
and D.R. Morrison, Phys. Lett. {\bf B355} (1995) 141, is added | Phys.Lett. B366 (1996) 124 | 10.1016/0370-2693(95)01370-9 | McGill 95-42 | hep-th | null | Different compactifications of six-dimensional string theory on $M_4 \times
T^2$ are considered. Particular attention is given to the roles of the reduced
modes as the $S$ and $T$ fields. It is shown that there is a discrete group of
invariances of an equilateral triangle hidden in the model. This group is
realized as the interchanges of the two-form fields present in the intermediate
step of dimensional reduction in five dimensions. The key ingredient for the
existence of this group is the presence of an additional $U(1)$ gauge field in
five dimensions, arising as the dual of the Kalb-Ramond axion field strength.
As a consequence, the theory contains more four-dimensional $SL(2,R)$
representations, with the resulting complex scalar axidilaton related to the
components of the Kaluza-Klein vector fields of the naive dimensional
reduction. An immediate byproduct of this relationship is a triadic
correspondence among the fundamental string, the solitonic string, and a
singular Brinkmann pp wave.
| [
{
"created": "Fri, 25 Aug 1995 05:30:12 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Oct 1995 03:42:16 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Kaloper",
"Nemanja",
""
]
] | Different compactifications of six-dimensional string theory on $M_4 \times T^2$ are considered. Particular attention is given to the roles of the reduced modes as the $S$ and $T$ fields. It is shown that there is a discrete group of invariances of an equilateral triangle hidden in the model. This group is realized as the interchanges of the two-form fields present in the intermediate step of dimensional reduction in five dimensions. The key ingredient for the existence of this group is the presence of an additional $U(1)$ gauge field in five dimensions, arising as the dual of the Kalb-Ramond axion field strength. As a consequence, the theory contains more four-dimensional $SL(2,R)$ representations, with the resulting complex scalar axidilaton related to the components of the Kaluza-Klein vector fields of the naive dimensional reduction. An immediate byproduct of this relationship is a triadic correspondence among the fundamental string, the solitonic string, and a singular Brinkmann pp wave. |
hep-th/9501062 | Hu Zhan-ning | Zhan-Ning Hu | On the Three-dimensional Lattice Model | 8 pages, latex, 4 figures | null | 10.1088/0256-307X/13/6/004 | AS-ITP-95-01 | hep-th | null | Using the restricted star-triangle relation, it is shown that the $N$-state
spin integrable model on a three-dimensional lattice with spins interacting
round each elementary cube of the lattice proposed by Mangazeev, Sergeev and
Stroganov is a particular case of the Bazhanov-Baxter model.
| [
{
"created": "Mon, 16 Jan 1995 22:48:54 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Hu",
"Zhan-Ning",
""
]
] | Using the restricted star-triangle relation, it is shown that the $N$-state spin integrable model on a three-dimensional lattice with spins interacting round each elementary cube of the lattice proposed by Mangazeev, Sergeev and Stroganov is a particular case of the Bazhanov-Baxter model. |
hep-th/0405100 | Hiroyuki Abe | Hiroyuki Abe, Kiwoon Choi, Ian-Woo Kim | Fayet-Iliopoulos Terms in 5D Orbifold Supergravity | 16 pages, no figures; conclusion changed for the warped case | JHEP0409:001,2004 | 10.1088/1126-6708/2004/09/001 | KAIST-TH 2004/04 | hep-th hep-ph | null | We discuss a locally supersymmetric formulation for the boundary
Fayet-Iliopoulos (FI) terms in 5-dimensional U(1) gauge theory on $S^1/Z_2$,
using the four-form multiplier mechanism to introduce the necessary $Z_2$-odd
FI coefficient. The physical consequence of the boundary FI terms is studied
within the full supergravity framework. For both models giving a flat and a
warped spacetime geometry, the only meaningful deformation of vacuum
configuration induced by the FI terms is a kink-type vacuum expectation value
of the vector multiplet scalar field which generate a 5D kink mass for charged
hypermultiplet. This result for the four-form induced boundary FI terms is
consistent with the one derived by the superfield formulation of 5D conformal
supergravity.
| [
{
"created": "Tue, 11 May 2004 11:21:28 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Aug 2004 08:52:18 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Nov 2004 03:12:01 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Abe",
"Hiroyuki",
""
],
[
"Choi",
"Kiwoon",
""
],
[
"Kim",
"Ian-Woo",
""
]
] | We discuss a locally supersymmetric formulation for the boundary Fayet-Iliopoulos (FI) terms in 5-dimensional U(1) gauge theory on $S^1/Z_2$, using the four-form multiplier mechanism to introduce the necessary $Z_2$-odd FI coefficient. The physical consequence of the boundary FI terms is studied within the full supergravity framework. For both models giving a flat and a warped spacetime geometry, the only meaningful deformation of vacuum configuration induced by the FI terms is a kink-type vacuum expectation value of the vector multiplet scalar field which generate a 5D kink mass for charged hypermultiplet. This result for the four-form induced boundary FI terms is consistent with the one derived by the superfield formulation of 5D conformal supergravity. |
hep-th/0203204 | Bin Chen | Bin Chen and Feng-Li Lin | Star Spectroscopy in the Constant B field Background | Latex file, 19 pages, no figure; revised version, several typos
corrected, add an appendix on ratio calculation, more comments on star
algebra;3rd version, more typos corrected | Nucl.Phys.B637:199-218,2002 | 10.1016/S0550-3213(02)00467-4 | null | hep-th | null | In this paper we calculate the spectrum of Neumann matrix with zero modes in
the presence of the constant B field in Witten's cubic string field theory. We
find both the continuous spectrum inside $[{-1\over3}, 0)$ and the constraint
on the existence of the discrete spectrum. For generic $\theta$, -1/3 is not in
the discrete spectrum but in the continuous spectrum. For each eigenvalue in
the continuous spectrum there are four twist-definite degenerate eigenvector
except for -1/3 at which the degeneracy is two. However, for each
twist-definite eigenvector the twist parity is opposite among the two spacetime
components. Based upon the result at -1/3 we prove that the ratio of brane
tension to be one as expected. Furthermore, we discuss the factorization of
star algebra in the presence of B field under zero-slope limit and comment on
the implications of our results to the recent proposed map of Witten's star to
Moyal's star.
| [
{
"created": "Thu, 21 Mar 2002 17:21:27 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Mar 2002 18:51:30 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Apr 2002 06:55:13 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Chen",
"Bin",
""
],
[
"Lin",
"Feng-Li",
""
]
] | In this paper we calculate the spectrum of Neumann matrix with zero modes in the presence of the constant B field in Witten's cubic string field theory. We find both the continuous spectrum inside $[{-1\over3}, 0)$ and the constraint on the existence of the discrete spectrum. For generic $\theta$, -1/3 is not in the discrete spectrum but in the continuous spectrum. For each eigenvalue in the continuous spectrum there are four twist-definite degenerate eigenvector except for -1/3 at which the degeneracy is two. However, for each twist-definite eigenvector the twist parity is opposite among the two spacetime components. Based upon the result at -1/3 we prove that the ratio of brane tension to be one as expected. Furthermore, we discuss the factorization of star algebra in the presence of B field under zero-slope limit and comment on the implications of our results to the recent proposed map of Witten's star to Moyal's star. |
2005.12511 | Tianshu Liu | Yasuaki Hikida and Tianshu Liu | Correlation functions of symmetric orbifold from AdS$_3$ string theory | 31 pages | null | 10.1007/JHEP09(2020)157 | YITP-20-77 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper examines correspondence among correlation functions of symmetric
orbifold and string theory on AdS3 described by sl(2)
Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point
function of twist operators in the symmetric orbifold in terms of the data of
effective Riemann surface. It is then shown that the correlation function can
be reproduced from the sl(2) WZNW model. The computation is based on the claim
that string worldsheet is given by the same Riemann surface and the reduction
method from sl(2) WZNW model to Liouville field theory. We first consider the
genus zero surface and then generalize the analysis to the case of generic
genus. The result should be an important ingredient for deriving
AdS$_3$/CFT$_2$ correspondence with tensionless superstrings to all orders in
string perturbation theory.
| [
{
"created": "Tue, 26 May 2020 04:19:29 GMT",
"version": "v1"
}
] | 2020-10-28 | [
[
"Hikida",
"Yasuaki",
""
],
[
"Liu",
"Tianshu",
""
]
] | The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the symmetric orbifold in terms of the data of effective Riemann surface. It is then shown that the correlation function can be reproduced from the sl(2) WZNW model. The computation is based on the claim that string worldsheet is given by the same Riemann surface and the reduction method from sl(2) WZNW model to Liouville field theory. We first consider the genus zero surface and then generalize the analysis to the case of generic genus. The result should be an important ingredient for deriving AdS$_3$/CFT$_2$ correspondence with tensionless superstrings to all orders in string perturbation theory. |
hep-th/9811178 | Ingo Runkel | Ingo Runkel | Boundary structure constants for the A-series Virasoro minimal models | 14 pages, LaTeX2e, 6 figures, uses amsmath,amsfonts,epsfig,cite;
minor corrections, version as to appear in Nucl.Phys.B | Nucl.Phys. B549 (1999) 563-578 | 10.1016/S0550-3213(99)00125-X | KCL-MTH-98-59 | hep-th | null | We consider A-series modular invariant Virasoro minimal models on the upper
half plane. From Lewellen's sewing constraints a necessary form of the bulk and
boundary structure constants is derived. Necessary means that any solution can
be brought to the given form by rescaling of the fields. All constants are
expressed essentially in terms of fusing (F-) matrix elements and the
normalisations are chosen such that they are real and no square roots appear.
It is not shown in this paper that the given structure constants solve the
sewing constraints, however random numerical tests show no contradiction and
agreement of the bulk structure constants with Dotsenko and Fateev. In order to
facilitate numerical calculations a recursion relation for the F-matrices is
given.
| [
{
"created": "Thu, 19 Nov 1998 15:38:49 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jun 1999 14:11:42 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Runkel",
"Ingo",
""
]
] | We consider A-series modular invariant Virasoro minimal models on the upper half plane. From Lewellen's sewing constraints a necessary form of the bulk and boundary structure constants is derived. Necessary means that any solution can be brought to the given form by rescaling of the fields. All constants are expressed essentially in terms of fusing (F-) matrix elements and the normalisations are chosen such that they are real and no square roots appear. It is not shown in this paper that the given structure constants solve the sewing constraints, however random numerical tests show no contradiction and agreement of the bulk structure constants with Dotsenko and Fateev. In order to facilitate numerical calculations a recursion relation for the F-matrices is given. |
hep-th/0503168 | Enrique Moreno | P. Forgacs, G.S. Lozano, E.F. Moreno, F.A. Schaposnik | Bogomolny equations for vortices in the noncommutative torus | 23 pages, no figures | JHEP 0507 (2005) 074 | 10.1088/1126-6708/2005/07/074 | null | hep-th | null | We derive Bogomolny-type equations for the Abelian Higgs model defined on the
noncommutative torus and discuss its vortex like solutions. To this end, we
carefully analyze how periodic boundary conditions have to be handled in
noncommutative space and discussed how vortex solutions are constructed. We
also consider the extension to an $U(2)\times U(1)$ model, a simplified
prototype of the noncommutative standard model.
| [
{
"created": "Tue, 22 Mar 2005 19:40:11 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Forgacs",
"P.",
""
],
[
"Lozano",
"G. S.",
""
],
[
"Moreno",
"E. F.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] | We derive Bogomolny-type equations for the Abelian Higgs model defined on the noncommutative torus and discuss its vortex like solutions. To this end, we carefully analyze how periodic boundary conditions have to be handled in noncommutative space and discussed how vortex solutions are constructed. We also consider the extension to an $U(2)\times U(1)$ model, a simplified prototype of the noncommutative standard model. |
2203.16322 | Osmin Lacombe | Osmin Lacombe and Shinji Mukohyama | Self-tuning of the cosmological constant in brane-worlds with
$P(X,\phi)$ | 14 pages, v2: new subsection on energy conditions, slightly longer
abstract, minor corrections in the text | null | 10.1088/1475-7516/2022/10/014 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the idea of self-tuning the observed cosmological constant to a
vanishing value and promote it to a selection criterion of brane-world models,
in which our Universe is described by a 3-brane embedded in a 5d bulk. As a
concrete setup, we consider a bulk scalar field $\phi$ described by a general
Lagrangian $P(X,\phi)$ with $X=-(\partial\phi)^2/2$. By requiring that the
model enforces the 4d curvature of the maximally symmetric 3-brane world-volume
to vanish independently of the 4d effective vacuum energy, only two
possibilities remain: one with a canonical bulk kinetic term and the other with
an unconventional bulk kinetic term similar to a Cuscuton field. Further
demanding the absence of bulk singularity, the latter is selected as a unique
possibility within the class of models. At the background level, the solution
can accommodate any warp factor profile free from bulk singularity and with a
finite effective 4d Planck mass. In a cosmological context, our solution would
describe our (almost) flat Universe at late times, with a bulk warp factor
profile expected to be determined by the evolution of the Universe before
dilution of the matter fields by cosmic expansion. Eventually, a simple
analysis is performed in the bulk showing no obvious instability around the
background solution. A full stability analysis taking into account brane
bending modes is nevertheless necessary and left for future work.
| [
{
"created": "Wed, 30 Mar 2022 14:07:50 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Oct 2022 02:26:18 GMT",
"version": "v2"
}
] | 2023-08-24 | [
[
"Lacombe",
"Osmin",
""
],
[
"Mukohyama",
"Shinji",
""
]
] | We revisit the idea of self-tuning the observed cosmological constant to a vanishing value and promote it to a selection criterion of brane-world models, in which our Universe is described by a 3-brane embedded in a 5d bulk. As a concrete setup, we consider a bulk scalar field $\phi$ described by a general Lagrangian $P(X,\phi)$ with $X=-(\partial\phi)^2/2$. By requiring that the model enforces the 4d curvature of the maximally symmetric 3-brane world-volume to vanish independently of the 4d effective vacuum energy, only two possibilities remain: one with a canonical bulk kinetic term and the other with an unconventional bulk kinetic term similar to a Cuscuton field. Further demanding the absence of bulk singularity, the latter is selected as a unique possibility within the class of models. At the background level, the solution can accommodate any warp factor profile free from bulk singularity and with a finite effective 4d Planck mass. In a cosmological context, our solution would describe our (almost) flat Universe at late times, with a bulk warp factor profile expected to be determined by the evolution of the Universe before dilution of the matter fields by cosmic expansion. Eventually, a simple analysis is performed in the bulk showing no obvious instability around the background solution. A full stability analysis taking into account brane bending modes is nevertheless necessary and left for future work. |
1208.3930 | Nissan Itzhaki | Amit Giveon and Nissan Itzhaki | String Theory Versus Black Hole Complementarity | 8 pages | null | 10.1007/JHEP12(2012)094 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is argued that string theory on the Euclidean version of the Schwarzschild
black hole -- the cigar geometry -- admits a zero mode that is localized at the
tip of the cigar. The presence of this mode implies that in string theory,
unlike in general relativity, the tip of the cigar is a special region. This is
in tension with the Euclidean version of the black hole complementarity
principle. We provide some qualitative arguments that link between this zero
mode and the origin of the black hole entropy and firewall at the horizon.
| [
{
"created": "Mon, 20 Aug 2012 07:55:00 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Giveon",
"Amit",
""
],
[
"Itzhaki",
"Nissan",
""
]
] | It is argued that string theory on the Euclidean version of the Schwarzschild black hole -- the cigar geometry -- admits a zero mode that is localized at the tip of the cigar. The presence of this mode implies that in string theory, unlike in general relativity, the tip of the cigar is a special region. This is in tension with the Euclidean version of the black hole complementarity principle. We provide some qualitative arguments that link between this zero mode and the origin of the black hole entropy and firewall at the horizon. |
1304.6110 | Daniel Boyanovsky | Louis Lello, Daniel Boyanovsky, Richard Holman | Entanglement entropy in particle decay | Discussion on wavepackets and experimental measurement. 20 pages, 2
figs | JHEP 2013,116 | 10.1007/JHEP11(2013)116 | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The decay of a parent particle into two or more daughter particles results in
an entangled quantum state as a consequence of conservation laws in the decay
process. Recent experiments at Belle and BaBar take advantage of quantum
entanglement and the correlations in the time evolution of the product
particles to study CP and T violations. If one (or more) of the product
particles are not observed, their degrees of freedom are traced out of the pure
state density matrix resulting from the decay, leading to a mixed state density
matrix and an entanglement entropy. This entropy is a measure of the loss of
information present in the original quantum correlations of the entangled
state. We use the Wigner-Weisskopf method to construct an approximation to this
state that evolves in time in a {\em manifestly unitary} way. We then obtain
the entanglement entropy from the reduced density matrix of one of the daughter
particles obtained by tracing out the unobserved states, and follow its time
evolution. We find that it grows over a time scale determined by the lifetime
of the parent particle to a maximum, which when the width of the parent
particle is narrow, describes the phase space distribution of maximally
entangled Bell-like states. The method is generalized to the case in which the
parent particle is described by a wave packet localized in space. Possible
experimental avenues to measure the entanglement entropy in the decay of mesons
at rest are discussed.
| [
{
"created": "Mon, 22 Apr 2013 21:24:29 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Aug 2013 21:18:41 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Nov 2013 21:18:42 GMT",
"version": "v3"
}
] | 2013-11-25 | [
[
"Lello",
"Louis",
""
],
[
"Boyanovsky",
"Daniel",
""
],
[
"Holman",
"Richard",
""
]
] | The decay of a parent particle into two or more daughter particles results in an entangled quantum state as a consequence of conservation laws in the decay process. Recent experiments at Belle and BaBar take advantage of quantum entanglement and the correlations in the time evolution of the product particles to study CP and T violations. If one (or more) of the product particles are not observed, their degrees of freedom are traced out of the pure state density matrix resulting from the decay, leading to a mixed state density matrix and an entanglement entropy. This entropy is a measure of the loss of information present in the original quantum correlations of the entangled state. We use the Wigner-Weisskopf method to construct an approximation to this state that evolves in time in a {\em manifestly unitary} way. We then obtain the entanglement entropy from the reduced density matrix of one of the daughter particles obtained by tracing out the unobserved states, and follow its time evolution. We find that it grows over a time scale determined by the lifetime of the parent particle to a maximum, which when the width of the parent particle is narrow, describes the phase space distribution of maximally entangled Bell-like states. The method is generalized to the case in which the parent particle is described by a wave packet localized in space. Possible experimental avenues to measure the entanglement entropy in the decay of mesons at rest are discussed. |
0805.3147 | Stefan Strau{\ss} | S. Strauss, M. Beyer | Light front QED$_{1+1}$ at finite temperature | 6 pages, 7 figures, 2 tables, RevTex4 | Phys.Rev.Lett.101:100402,2008 | 10.1103/PhysRevLett.101.100402 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate thermodynamic properties of quantum electrodynamics in 1+1
dimensions (QED$_{1+1}$) utilizing light front dynamics. Therefore we derive
the partition function of the canonical ensemble in discrete light cone
quantization, and calculate the thermodynamical potential. This central
quantity is evaluated for different system sizes and coupling strengths. We
investigate the continuum limit and the thermodynamical limit and present basic
thermodynamical quantities such as pressure, energy, and entropy, as a function
of temperature for the interacting system. The results are compared to the
ideal bosonic and fermionic cases.
| [
{
"created": "Tue, 20 May 2008 19:28:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Strauss",
"S.",
""
],
[
"Beyer",
"M.",
""
]
] | We investigate thermodynamic properties of quantum electrodynamics in 1+1 dimensions (QED$_{1+1}$) utilizing light front dynamics. Therefore we derive the partition function of the canonical ensemble in discrete light cone quantization, and calculate the thermodynamical potential. This central quantity is evaluated for different system sizes and coupling strengths. We investigate the continuum limit and the thermodynamical limit and present basic thermodynamical quantities such as pressure, energy, and entropy, as a function of temperature for the interacting system. The results are compared to the ideal bosonic and fermionic cases. |
2404.11425 | Daniel Spitz | Daniel Spitz | Similarities between projective quantum fields and the Standard Model | v2: Minor corrections applied; 13 pages, 1 table | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many homogeneous, four-dimensional space-time geometries can be considered
within real projective geometry, which yields a mathematically well-defined
framework for their deformations and limits without the appearance of
singularities. Focussing on generalized unitary transformation behavior,
projective quantum fields can be axiomatically introduced, which transform
smoothly under geometry deformations and limits. Connections on the related
projective frame bundles provide gauge fields with gauge group
$\mathrm{PGL}_5\mathbb{R}$. For Poincar\'e geometry, on operator level only
$\mathrm{P}(\mathrm{GL}_2\mathbb{R}\times \mathrm{GL}_3\mathbb{R})\cong
\mathbb{R}_{\neq 0}\times \mathrm{PGL}_2\mathbb{R}\times
\mathrm{PGL}_3\mathbb{R}$ gauge bosons can interact non-trivially with other
projective quantum fields from the non- to ultra-relativistic limits. The
corresponding propagating, complexified gauge bosons come with the Standard
Model gauge group $G_{\mathrm{SM}}=(\mathrm{U}(1)\times \mathrm{SU}(2)\times
\mathrm{SU}(3))/\mathbb{Z}_6$. Physical scale transformations can act as global
gauge transformations and their spontaneous breaking can lead to masses for the
projective quantum fields including the $\mathrm{SU}(2)$ gauge bosons.
Projective quantum fields, which are irreducible both with respect to the Lie
algebra $\mathfrak{pgl}_5\mathbb{R}$ and the Poincar\'e group, form Dirac
fermions and $G_{\mathrm{SM}}$ gauge bosons interact with them similar to the
Standard Model. For homogeneous, curved Lorentz geometries a gauge group
similar to the gauge group of metric-affine gravity appears.
| [
{
"created": "Wed, 17 Apr 2024 14:32:36 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jul 2024 10:34:17 GMT",
"version": "v2"
}
] | 2024-07-22 | [
[
"Spitz",
"Daniel",
""
]
] | Many homogeneous, four-dimensional space-time geometries can be considered within real projective geometry, which yields a mathematically well-defined framework for their deformations and limits without the appearance of singularities. Focussing on generalized unitary transformation behavior, projective quantum fields can be axiomatically introduced, which transform smoothly under geometry deformations and limits. Connections on the related projective frame bundles provide gauge fields with gauge group $\mathrm{PGL}_5\mathbb{R}$. For Poincar\'e geometry, on operator level only $\mathrm{P}(\mathrm{GL}_2\mathbb{R}\times \mathrm{GL}_3\mathbb{R})\cong \mathbb{R}_{\neq 0}\times \mathrm{PGL}_2\mathbb{R}\times \mathrm{PGL}_3\mathbb{R}$ gauge bosons can interact non-trivially with other projective quantum fields from the non- to ultra-relativistic limits. The corresponding propagating, complexified gauge bosons come with the Standard Model gauge group $G_{\mathrm{SM}}=(\mathrm{U}(1)\times \mathrm{SU}(2)\times \mathrm{SU}(3))/\mathbb{Z}_6$. Physical scale transformations can act as global gauge transformations and their spontaneous breaking can lead to masses for the projective quantum fields including the $\mathrm{SU}(2)$ gauge bosons. Projective quantum fields, which are irreducible both with respect to the Lie algebra $\mathfrak{pgl}_5\mathbb{R}$ and the Poincar\'e group, form Dirac fermions and $G_{\mathrm{SM}}$ gauge bosons interact with them similar to the Standard Model. For homogeneous, curved Lorentz geometries a gauge group similar to the gauge group of metric-affine gravity appears. |
1806.01766 | Junjie Rao | Junjie Rao | Cyclicity of All Anti-NMHV and N$^2$MHV Tree Amplitudes in N=4 SYM | 13 pages, 1 appendix | Eur. Phys. J. C 80 (2020) 6, 542 | 10.1140/epjc/s10052-020-8108-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article proves the cyclicity of anti-NMHV and N$^2$MHV tree amplitudes
in planar N=4 SYM up to any number of external particles as an interesting
application of positive Grassmannian geometry. In this proof the two-fold
simplex-like structures of tree amplitudes introduced in 1609.08627 play a key
role, as the cyclicity of amplitudes will induce similar simplex-like
structures for the boundary generators of homological identities. For this
purpose, we only need a part of all distinct boundary generators, and the
relevant identities only involve BCFW-like cells. The manifest cyclic
invariance in this geometric representation reflects one of the invariant
characteristics of amplitudes, though they are obtained by the scheme-dependent
BCFW recursion relation.
| [
{
"created": "Tue, 5 Jun 2018 16:02:52 GMT",
"version": "v1"
},
{
"created": "Thu, 9 May 2019 15:19:18 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jun 2020 16:40:54 GMT",
"version": "v3"
}
] | 2020-06-23 | [
[
"Rao",
"Junjie",
""
]
] | This article proves the cyclicity of anti-NMHV and N$^2$MHV tree amplitudes in planar N=4 SYM up to any number of external particles as an interesting application of positive Grassmannian geometry. In this proof the two-fold simplex-like structures of tree amplitudes introduced in 1609.08627 play a key role, as the cyclicity of amplitudes will induce similar simplex-like structures for the boundary generators of homological identities. For this purpose, we only need a part of all distinct boundary generators, and the relevant identities only involve BCFW-like cells. The manifest cyclic invariance in this geometric representation reflects one of the invariant characteristics of amplitudes, though they are obtained by the scheme-dependent BCFW recursion relation. |
2407.03562 | Jiaqi Chen | Jiaqi Chen | Selection rule of canonical differential equations from Intersection
theory | 10 pages, 0 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Canonical differential equations matrix is the 1-$\mathrm{d}\log$-form
coefficients of projecting ($n$+1)-$\mathrm{d}\log$-forms onto
$n$-$\mathrm{d}\log$-forms master integrand. Intersection number with dual form
in relative cohomology could achieve the projecting and give selection rules of
canonical differential equations from the pole structure of $\mathrm{d}\log$
master integrand.
| [
{
"created": "Thu, 4 Jul 2024 01:25:09 GMT",
"version": "v1"
}
] | 2024-07-08 | [
[
"Chen",
"Jiaqi",
""
]
] | Canonical differential equations matrix is the 1-$\mathrm{d}\log$-form coefficients of projecting ($n$+1)-$\mathrm{d}\log$-forms onto $n$-$\mathrm{d}\log$-forms master integrand. Intersection number with dual form in relative cohomology could achieve the projecting and give selection rules of canonical differential equations from the pole structure of $\mathrm{d}\log$ master integrand. |
hep-th/0503143 | Joseph A. Minahan | Joseph A. Minahan | The SU(2) sector in AdS/CFT | 17 Pages, no figures, to appear in the proceedings of the RTN
workshop, Kolymbari, Crete, September 2004; v2 refs added, footnote changed | Fortsch.Phys. 53 (2005) 828-838 | 10.1002/prop.200410204 | UUITP-04-05, CTP-MIT-3610 | hep-th | null | In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of
the SU(2) sector, single trace operators composed of L complex scalar fields of
two types, is closed to all orders in perturbation theory. By relying on the
AdS/CFT correspondence, and by examining the currents for semiclassical
strings, we present evidence which implies that there are small mixings that
contradict the closure of the SU(2) sector in the strong coupling limit. These
mixings first appear to second order in the \lambda/L^2 expansion.
| [
{
"created": "Fri, 18 Mar 2005 16:39:13 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Apr 2005 13:11:59 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Minahan",
"Joseph A.",
""
]
] | In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of the SU(2) sector, single trace operators composed of L complex scalar fields of two types, is closed to all orders in perturbation theory. By relying on the AdS/CFT correspondence, and by examining the currents for semiclassical strings, we present evidence which implies that there are small mixings that contradict the closure of the SU(2) sector in the strong coupling limit. These mixings first appear to second order in the \lambda/L^2 expansion. |
1704.03266 | Jorge Russo | J.G. Russo and F.A. Schaposnik | N=2 Chern-Simons-Matter Theories Without Vortices | 17 pages | null | 10.1007/JHEP07(2017)062 | ICCUB-17-010 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study ${\cal N}=2$ Chern-Simons-matter theories with gauge group
$U_{k_1}(1)\times U_{k_2}(1)$. We find that, when $k_1+k_2=0$, the partition
function computed by localization dramatically simplifies and collapses to a
single term. We show that the same condition prevents the theory from having
supersymmetric vortex configurations. The theories include mass-deformed ABJM
theory with $U(1)_{k}\times U_{-k}(1)$ gauge group as a particular case.
Similar features are shared by a class of CS-matter theories with gauge group
$U_{k_1}(1)\times \cdots \times U_{k_N}(1)$.
| [
{
"created": "Tue, 11 Apr 2017 12:35:21 GMT",
"version": "v1"
}
] | 2017-08-02 | [
[
"Russo",
"J. G.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] | We study ${\cal N}=2$ Chern-Simons-matter theories with gauge group $U_{k_1}(1)\times U_{k_2}(1)$. We find that, when $k_1+k_2=0$, the partition function computed by localization dramatically simplifies and collapses to a single term. We show that the same condition prevents the theory from having supersymmetric vortex configurations. The theories include mass-deformed ABJM theory with $U(1)_{k}\times U_{-k}(1)$ gauge group as a particular case. Similar features are shared by a class of CS-matter theories with gauge group $U_{k_1}(1)\times \cdots \times U_{k_N}(1)$. |
2201.05726 | Hao Zheng | Liang Kong and Hao Zheng | Categories of quantum liquids III | 28 pages | null | null | null | hep-th cond-mat.str-el math-ph math.MP math.OA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our study of the categories of quantum liquids started in a
previous work. We combine local quantum symmetries with topological skeletons
into a single mathematical theory of topological nets and defect nets. In
particular, we introduce the notion of a topological net, which is motivated
from and generalizes that of a conformal net, and the notion of a defect net
which generalizes that of a defect between conformal nets. We give explicit
examples of them. Moreover, we construct the category of topological $n$-nets
with $k$-morphisms defined by defect $n$-nets of codimension $k$, and show that
the category of $n$D quantum liquids can be extracted from it and computed
explicitly via the condensation theory of topological nets.
| [
{
"created": "Sat, 15 Jan 2022 01:16:41 GMT",
"version": "v1"
}
] | 2022-08-25 | [
[
"Kong",
"Liang",
""
],
[
"Zheng",
"Hao",
""
]
] | We continue our study of the categories of quantum liquids started in a previous work. We combine local quantum symmetries with topological skeletons into a single mathematical theory of topological nets and defect nets. In particular, we introduce the notion of a topological net, which is motivated from and generalizes that of a conformal net, and the notion of a defect net which generalizes that of a defect between conformal nets. We give explicit examples of them. Moreover, we construct the category of topological $n$-nets with $k$-morphisms defined by defect $n$-nets of codimension $k$, and show that the category of $n$D quantum liquids can be extracted from it and computed explicitly via the condensation theory of topological nets. |
hep-th/9603063 | null | Giampiero Esposito | SO(10) GUT Models and Cosmology | 7 pages, Latex, talk prepared for the Second International Sakharov
Conference on Physics, Moscow (May 1996) | null | null | DSF preprint 96/13 | hep-th | null | $SO(10)$ grand unified models have an intermediate symmetry group in between
$SO(10)$ and $SU(3)_{C} \otimes SU(2)_{L} \otimes U(1)_{Y}$. Hence they lead to
a prediction for proton lifetime in agreement with the experimental lower
limit. This paper reviews the recent work on the tree-level potential and the
one-loop effective potential for such models, with application to inflationary
cosmology. The open problems are the use of the most general form of tree-level
potential for $SO(10)$ models in the reheating stage of the early universe, and
the analysis of non-local effects in the semiclassical field equations for such
models in Friedmann-Robertson-Walker backgrounds.
| [
{
"created": "Mon, 11 Mar 1996 09:07:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Esposito",
"Giampiero",
""
]
] | $SO(10)$ grand unified models have an intermediate symmetry group in between $SO(10)$ and $SU(3)_{C} \otimes SU(2)_{L} \otimes U(1)_{Y}$. Hence they lead to a prediction for proton lifetime in agreement with the experimental lower limit. This paper reviews the recent work on the tree-level potential and the one-loop effective potential for such models, with application to inflationary cosmology. The open problems are the use of the most general form of tree-level potential for $SO(10)$ models in the reheating stage of the early universe, and the analysis of non-local effects in the semiclassical field equations for such models in Friedmann-Robertson-Walker backgrounds. |
0806.3219 | Mairi Sakellariadou | Mairi Sakellariadou (King's College London) and Horace Stoica
(Imperial College) | Dynamics of F/D networks: the role of bound states | 8 pages, 13 figures | JCAP 0808:038,2008 | 10.1088/1475-7516/2008/08/038 | null | hep-th astro-ph gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study, via numerical experiments, the role of bound states in the
evolution of cosmic superstring networks, being composed by p F-strings, q
D-strings and (p,q) bound states. We find robust evidence for scaling of all
three components of the network, independently of initial conditions. The
novelty of our numerical approach consists of having control over the initial
abundance of bound states. This indeed allows us to identify the effect of
bound states on the evolution of the network. Our studies also clearly show the
existence of an additional energy loss mechanism, resulting to a lower overall
string network energy, and thus scaling of the network. This new mechanism
consists of the formation of bound states with an increasing length.
| [
{
"created": "Thu, 19 Jun 2008 15:34:37 GMT",
"version": "v1"
}
] | 2011-06-02 | [
[
"Sakellariadou",
"Mairi",
"",
"King's College London"
],
[
"Stoica",
"Horace",
"",
"Imperial College"
]
] | We study, via numerical experiments, the role of bound states in the evolution of cosmic superstring networks, being composed by p F-strings, q D-strings and (p,q) bound states. We find robust evidence for scaling of all three components of the network, independently of initial conditions. The novelty of our numerical approach consists of having control over the initial abundance of bound states. This indeed allows us to identify the effect of bound states on the evolution of the network. Our studies also clearly show the existence of an additional energy loss mechanism, resulting to a lower overall string network energy, and thus scaling of the network. This new mechanism consists of the formation of bound states with an increasing length. |
hep-th/0202020 | Yuichi | Y.Hoshino | A gauge covariant approximation to QED | 20pages Standard Latex, section 4 is modified | null | null | null | hep-th | null | We examine the Dyson-Schwinger equation for the fermion propagator in
quenched QED in three and four dimension based on spectral representation with
vertex ansatz which preserves Ward-Takahashi Identity.An appropriate
renormalization within dispersion integral smoothes the threshold behaviour of
the fermion self energy in three dimension.Thus we avoid the infrared
singurality in three dimension.The behaviour of the fermion propagator in three
dimension near the threshold is then found to be similar to the four
dimensional one.There exisit analytic solutions for arbitrary gauges and the
full propagators are expressed in terms of hypergeometric function in four
dimension.There is a possibility of dynamical chiral symmetry breaking in four
dimension with vanishing bare mass.
| [
{
"created": "Mon, 4 Feb 2002 08:53:01 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Feb 2002 13:15:39 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Mar 2002 11:37:25 GMT",
"version": "v3"
},
{
"created": "Fri, 29 Mar 2002 12:13:23 GMT",
"version": "v4"
},
{
"created": "Mon, 8 Apr 2002 15:47:31 GMT",
"version": "v5"
},
{
"created": "Tue, 23 Apr 2002 03:43:54 GMT",
"version": "v6"
},
{
"created": "Wed, 15 May 2002 10:15:53 GMT",
"version": "v7"
},
{
"created": "Wed, 29 May 2002 23:25:39 GMT",
"version": "v8"
}
] | 2007-05-23 | [
[
"Hoshino",
"Y.",
""
]
] | We examine the Dyson-Schwinger equation for the fermion propagator in quenched QED in three and four dimension based on spectral representation with vertex ansatz which preserves Ward-Takahashi Identity.An appropriate renormalization within dispersion integral smoothes the threshold behaviour of the fermion self energy in three dimension.Thus we avoid the infrared singurality in three dimension.The behaviour of the fermion propagator in three dimension near the threshold is then found to be similar to the four dimensional one.There exisit analytic solutions for arbitrary gauges and the full propagators are expressed in terms of hypergeometric function in four dimension.There is a possibility of dynamical chiral symmetry breaking in four dimension with vanishing bare mass. |
2207.07182 | Makoto Natsuume | Makoto Natsuume, Takashi Okamura | Holographic Meissner Effect | 14 pages, ReVTeX4.2; v2: corrected typos and several clarifications | null | null | KEK-TH-2439 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic superconductor is the holographic dual of superconductivity,
but there is no Meissner effect in the standard holographic superconductor.
This is because the boundary Maxwell field is added as an external source and
is not dynamical. We show the Meissner effect analytically by imposing the
semiclassical Maxwell equation on the AdS boundary. Unlike in the
Ginzburg-Landau (GL) theory, the extreme Type I limit cannot be reached even in
the $e\to\infty$ limit where $e$ is the $U(1)$ coupling of the boundary Maxwell
field. This is due to the bound current which is present even in the pure bulk
Maxwell theory. In the bulk 5-dimensional case, the GL parameter and the dual
GL theory are obtained analytically for the order parameter of scaling
dimension 2.
| [
{
"created": "Thu, 14 Jul 2022 19:46:04 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Sep 2022 01:16:58 GMT",
"version": "v2"
}
] | 2022-09-26 | [
[
"Natsuume",
"Makoto",
""
],
[
"Okamura",
"Takashi",
""
]
] | The holographic superconductor is the holographic dual of superconductivity, but there is no Meissner effect in the standard holographic superconductor. This is because the boundary Maxwell field is added as an external source and is not dynamical. We show the Meissner effect analytically by imposing the semiclassical Maxwell equation on the AdS boundary. Unlike in the Ginzburg-Landau (GL) theory, the extreme Type I limit cannot be reached even in the $e\to\infty$ limit where $e$ is the $U(1)$ coupling of the boundary Maxwell field. This is due to the bound current which is present even in the pure bulk Maxwell theory. In the bulk 5-dimensional case, the GL parameter and the dual GL theory are obtained analytically for the order parameter of scaling dimension 2. |
2005.11803 | Patrick Concha | Patrick Concha, Remigiusz Durka, Evelyn Rodr\'iguez | Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in
three spacetime dimensions | v2, 19 pages, references added | Physics Letters b 808 (2020) 135659 | 10.1016/j.physletb.2020.135659 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore $\mathcal{N}=1$ supersymmetric extensions of algebras going beyond
the Poincar\'e and AdS ones in three spacetime dimensions. Besides reproducing
two known examples, we present new superalgebras, which all correspond to
supersymmetric extensions with one fermionic charge $Q_{\alpha}$ concerning the
so-called resonant algebras being characterized by the presence of an
additional bosonic generator $Z_{a}$, besides the Lorentz $J_{a}$ and
translation $P_{a}$ generators. Obtained eight supersymmetric $JPZ+Q$ schemes
result directly from obeying super-Jacobi identities. We point out particular
requirements that superalgebras have to satisfy to be successfully incorporated
within valid supergravity actions. The presented algebraic and Lagrangian
framework organizes and helps us better understand relations between the
various supergravity and supersymmetric Chern-Simons actions invariant under
diverse resonant superalgebras.
| [
{
"created": "Sun, 24 May 2020 17:11:19 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2020 20:22:25 GMT",
"version": "v2"
}
] | 2020-08-06 | [
[
"Concha",
"Patrick",
""
],
[
"Durka",
"Remigiusz",
""
],
[
"Rodríguez",
"Evelyn",
""
]
] | We explore $\mathcal{N}=1$ supersymmetric extensions of algebras going beyond the Poincar\'e and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to supersymmetric extensions with one fermionic charge $Q_{\alpha}$ concerning the so-called resonant algebras being characterized by the presence of an additional bosonic generator $Z_{a}$, besides the Lorentz $J_{a}$ and translation $P_{a}$ generators. Obtained eight supersymmetric $JPZ+Q$ schemes result directly from obeying super-Jacobi identities. We point out particular requirements that superalgebras have to satisfy to be successfully incorporated within valid supergravity actions. The presented algebraic and Lagrangian framework organizes and helps us better understand relations between the various supergravity and supersymmetric Chern-Simons actions invariant under diverse resonant superalgebras. |
1504.03698 | Francesco Benini | Francesco Benini, Alberto Zaffaroni | A topologically twisted index for three-dimensional supersymmetric
theories | 59 pages + appendices; v2: refs added; v3: minor corrections,
published version | JHEP 1507 (2015) 127 | 10.1007/JHEP07(2015)127 | Imperial/TP/2015/FB/01 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a general formula for the partition function of three-dimensional
$\mathcal{N}=2$ gauge theories placed on $S^2 \times S^1$ with a topological
twist along $S^2$, which can be interpreted as an index for chiral states of
the theories immersed in background magnetic fields. The result is expressed as
a sum over magnetic fluxes of the residues of a meromorphic form which is a
function of the scalar zero-modes. The partition function depends on a
collection of background magnetic fluxes and fugacities for the global
symmetries. We illustrate our formula in many examples of 3d
Yang-Mills-Chern-Simons theories with matter, including Aharony and
Giveon-Kutasov dualities. Finally, our formula generalizes to
$\Omega$-backgrounds, as well as two-dimensional theories on $S^2$ and
four-dimensional theories on $S^2 \times T^2$. In particular this provides an
alternative way to compute genus-zero A-model topological amplitudes and
Gromov-Witten invariants.
| [
{
"created": "Tue, 14 Apr 2015 20:01:53 GMT",
"version": "v1"
},
{
"created": "Wed, 27 May 2015 15:29:17 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Oct 2015 10:54:54 GMT",
"version": "v3"
}
] | 2015-10-29 | [
[
"Benini",
"Francesco",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | We provide a general formula for the partition function of three-dimensional $\mathcal{N}=2$ gauge theories placed on $S^2 \times S^1$ with a topological twist along $S^2$, which can be interpreted as an index for chiral states of the theories immersed in background magnetic fields. The result is expressed as a sum over magnetic fluxes of the residues of a meromorphic form which is a function of the scalar zero-modes. The partition function depends on a collection of background magnetic fluxes and fugacities for the global symmetries. We illustrate our formula in many examples of 3d Yang-Mills-Chern-Simons theories with matter, including Aharony and Giveon-Kutasov dualities. Finally, our formula generalizes to $\Omega$-backgrounds, as well as two-dimensional theories on $S^2$ and four-dimensional theories on $S^2 \times T^2$. In particular this provides an alternative way to compute genus-zero A-model topological amplitudes and Gromov-Witten invariants. |
1704.04500 | Nikhil Anand | Nikhil Anand, Vincent X. Genest, Emanuel Katz, Zuhair U. Khandker,
Matthew T. Walters | RG Flow from $\phi^4$ Theory to the 2D Ising Model | 31+12 pages | null | 10.1007/JHEP08(2017)056 | null | hep-th cond-mat.stat-mech cond-mat.str-el hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 1+1 dimensional $\phi^4$ theory using the recently proposed method
of conformal truncation. Starting in the UV CFT of free field theory, we
construct a complete basis of states with definite conformal Casimir,
$\mathcal{C}$. We use these states to express the Hamiltonian of the full
interacting theory in lightcone quantization. After truncating to states with
$\mathcal{C} \leq \mathcal{C}_{\max}$, we numerically diagonalize the
Hamiltonian at strong coupling and study the resulting IR dynamics. We compute
non-perturbative spectral densities of several local operators, which are
equivalent to real-time, infinite-volume correlation functions. These spectral
densities, which include the Zamolodchikov $C$-function along the full RG flow,
are calculable at any value of the coupling. Near criticality, our numerical
results reproduce correlation functions in the 2D Ising model.
| [
{
"created": "Fri, 14 Apr 2017 18:00:00 GMT",
"version": "v1"
}
] | 2017-09-13 | [
[
"Anand",
"Nikhil",
""
],
[
"Genest",
"Vincent X.",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Khandker",
"Zuhair U.",
""
],
[
"Walters",
"Matthew T.",
""
]
] | We study 1+1 dimensional $\phi^4$ theory using the recently proposed method of conformal truncation. Starting in the UV CFT of free field theory, we construct a complete basis of states with definite conformal Casimir, $\mathcal{C}$. We use these states to express the Hamiltonian of the full interacting theory in lightcone quantization. After truncating to states with $\mathcal{C} \leq \mathcal{C}_{\max}$, we numerically diagonalize the Hamiltonian at strong coupling and study the resulting IR dynamics. We compute non-perturbative spectral densities of several local operators, which are equivalent to real-time, infinite-volume correlation functions. These spectral densities, which include the Zamolodchikov $C$-function along the full RG flow, are calculable at any value of the coupling. Near criticality, our numerical results reproduce correlation functions in the 2D Ising model. |
1003.4923 | Amilcar Queiroz Mr | Marcelo L. Costa, Amilcar R. Queiroz and Ademir E. Santana | Noncommutative Thermofield Dynamics | 13 pages; to be published in IJMP-A. | null | 10.1142/S0217751X1004930X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The real-time operator formalism for thermal quantum field theories,
thermofield dynamics, is formulated in terms of a path-integral approach in
non-commutative spaces. As an application, the two-point function for a thermal
non-commutative $\lambda \phi^4$ theory is derived at the one-loop level. The
effect of temperature and the non-commutative parameter, competing with one
another, is analyzed.
| [
{
"created": "Thu, 25 Mar 2010 14:45:21 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Costa",
"Marcelo L.",
""
],
[
"Queiroz",
"Amilcar R.",
""
],
[
"Santana",
"Ademir E.",
""
]
] | The real-time operator formalism for thermal quantum field theories, thermofield dynamics, is formulated in terms of a path-integral approach in non-commutative spaces. As an application, the two-point function for a thermal non-commutative $\lambda \phi^4$ theory is derived at the one-loop level. The effect of temperature and the non-commutative parameter, competing with one another, is analyzed. |
1401.7848 | Jun Nishimura | Hajime Aoki, Jun Nishimura, Asato Tsuchiya | Realizing three generations of the Standard Model fermions in the type
IIB matrix model | 28 pages, 11 figures; (v2) references added, typos corrected; (v3)
footnote added, version to be published on JHEP | null | 10.1007/JHEP05(2014)131 | SAGA-HE-280, KEK-TH-1701 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss how the Standard Model particles appear from the type IIB matrix
model, which is considered to be a nonperturbative formulation of superstring
theory. In particular, we are concerned with a constructive definition of the
theory, in which we start with finite-N matrices and take the large-N limit
afterwards. In that case, it was pointed out recently that realizing chiral
fermions in the model is more difficult than it had been thought from formal
arguments at N=infinity and that introduction of a matrix version of the warp
factor is necessary. Based on this new insight, we show that two generations of
the Standard Model fermions can be realized by considering a rather generic
configuration of fuzzy S^2 and fuzzy S^2 * S^2 in the extra dimensions. We also
show that three generations can be obtained by squashing one of the S^2's that
appear in the configuration. Chiral fermions appear at the intersections of the
fuzzy manifolds with nontrivial Yukawa couplings to the Higgs field, which can
be calculated from the overlap of their wave functions.
| [
{
"created": "Thu, 30 Jan 2014 14:13:09 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2014 09:54:29 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Jun 2014 02:29:24 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Aoki",
"Hajime",
""
],
[
"Nishimura",
"Jun",
""
],
[
"Tsuchiya",
"Asato",
""
]
] | We discuss how the Standard Model particles appear from the type IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. In particular, we are concerned with a constructive definition of the theory, in which we start with finite-N matrices and take the large-N limit afterwards. In that case, it was pointed out recently that realizing chiral fermions in the model is more difficult than it had been thought from formal arguments at N=infinity and that introduction of a matrix version of the warp factor is necessary. Based on this new insight, we show that two generations of the Standard Model fermions can be realized by considering a rather generic configuration of fuzzy S^2 and fuzzy S^2 * S^2 in the extra dimensions. We also show that three generations can be obtained by squashing one of the S^2's that appear in the configuration. Chiral fermions appear at the intersections of the fuzzy manifolds with nontrivial Yukawa couplings to the Higgs field, which can be calculated from the overlap of their wave functions. |
0907.1748 | Anzhong Wang | Anzhong Wang and Roy Maartens | Cosmological perturbations in Horava-Lifshitz theory without detailed
balance | Some typos were corrected. Verison appeared in Phys. Rev. D81, 024009
(2010) | Phys.Rev.D81:024009,2010 | 10.1103/PhysRevD.81.024009 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the Horava-Lifshitz theory of quantum gravity, two conditions -- detailed
balance and projectability -- are usually assumed. The breaking of
projectability simplifies the theory, but it leads to serious problems with the
theory. The breaking of detailed balance leads to a more complicated form of
the theory, but it appears to resolve some of the problems. Sotiriou, Visser
and Weinfurtner formulated the most general theory of Horava-Lifshitz type
without detailed balance. We compute the linear scalar perturbations of the FRW
model in this form of HL theory. We show that the higher-order curvature terms
in the action lead to a gravitational effective anisotropic stress on small
scales. Specializing to a Minkowski background, we study the spin-0 scalar mode
of the graviton, using a gauge-invariant analysis, and find that it is stable
in both the infrared and ultraviolet regimes for $0 \le \xi \le 2/3$. However,
in this parameter range the scalar mode is a ghost.
| [
{
"created": "Fri, 10 Jul 2009 07:52:57 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jul 2009 14:19:24 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Dec 2009 14:44:24 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Jan 2010 20:59:00 GMT",
"version": "v4"
},
{
"created": "Thu, 14 Jan 2010 21:45:25 GMT",
"version": "v5"
}
] | 2010-04-06 | [
[
"Wang",
"Anzhong",
""
],
[
"Maartens",
"Roy",
""
]
] | In the Horava-Lifshitz theory of quantum gravity, two conditions -- detailed balance and projectability -- are usually assumed. The breaking of projectability simplifies the theory, but it leads to serious problems with the theory. The breaking of detailed balance leads to a more complicated form of the theory, but it appears to resolve some of the problems. Sotiriou, Visser and Weinfurtner formulated the most general theory of Horava-Lifshitz type without detailed balance. We compute the linear scalar perturbations of the FRW model in this form of HL theory. We show that the higher-order curvature terms in the action lead to a gravitational effective anisotropic stress on small scales. Specializing to a Minkowski background, we study the spin-0 scalar mode of the graviton, using a gauge-invariant analysis, and find that it is stable in both the infrared and ultraviolet regimes for $0 \le \xi \le 2/3$. However, in this parameter range the scalar mode is a ghost. |
1001.5146 | Silviu-Constantin Sararu | E. M. Cioroianu, S. C. Sararu, O. Balus | First-Class Approaches to Massive 2-Forms | 14 pages | International Journal of Modern Physics A Vol 25 (2010), 185-198 | 10.1142/S0217751X10047932 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massive 2-forms are analyzed from the point of view of the Hamiltonian
quantization using the gauge-unfixing approach and respectively the
Batalin--Fradkin method. Both methods finally output the manifestly Lorentz
covariant path integral for 1- and 2-forms with Stueckelberg coupling.
| [
{
"created": "Thu, 28 Jan 2010 11:03:07 GMT",
"version": "v1"
}
] | 2010-01-29 | [
[
"Cioroianu",
"E. M.",
""
],
[
"Sararu",
"S. C.",
""
],
[
"Balus",
"O.",
""
]
] | Massive 2-forms are analyzed from the point of view of the Hamiltonian quantization using the gauge-unfixing approach and respectively the Batalin--Fradkin method. Both methods finally output the manifestly Lorentz covariant path integral for 1- and 2-forms with Stueckelberg coupling. |
1907.03759 | Domenico Orlando | Domenico Orlando, Susanne Reffert, Yuta Sekiguchi, Kentaroh Yoshida | $O(d,d)$ transformations preserve classical integrability | 23 pages, references added. Matches Nucl.Phys. version | null | 10.1016/j.nuclphysb.2019.114880 | KUNS-2767 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we study the action of $O(d,d)$ transformations on the
integrable structure of two-dimensional non-linear sigma models via the doubled
formalism. We construct the Lax pairs associated with the $O(d,d)$-transformed
model and find that they are in general non-local because they depend on the
winding modes. We conclude that every $O(d,d;\mathbb{R})$ deformation preserves
integrability. As an application we compute the Lax pairs for continuous
families of deformations, such as $J\bar{J}$ marginal deformations and TsT
transformations of the three-sphere with $H$-flux.
| [
{
"created": "Mon, 8 Jul 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Dec 2019 14:01:28 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
],
[
"Sekiguchi",
"Yuta",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | In this note, we study the action of $O(d,d)$ transformations on the integrable structure of two-dimensional non-linear sigma models via the doubled formalism. We construct the Lax pairs associated with the $O(d,d)$-transformed model and find that they are in general non-local because they depend on the winding modes. We conclude that every $O(d,d;\mathbb{R})$ deformation preserves integrability. As an application we compute the Lax pairs for continuous families of deformations, such as $J\bar{J}$ marginal deformations and TsT transformations of the three-sphere with $H$-flux. |
hep-th/0602076 | Erik Flink | Erik Flink | Scattering in D=5 super Yang-Mills theory and the relation to (2,0)
theory | 17 pages, 1 figure | Phys.Rev.D73:066005,2006 | 10.1103/PhysRevD.73.066005 | null | hep-th | null | Compactifying the A_1 version of (2,0) theory on a circle gives rise to
five-dimensional, maximally supersymmetric Yang-Mills theory. In the Coulomb
branch, where the SU(2) gauge group is spontaneously broken to a U(1) subgroup,
the degrees of freedom are constituted by one massless and two massive vector
multiplets. Because of the relation to the six-dimensional (2,0) theory, we are
then interested in scattering processes where both the in-state and the
out-state consist of one massless and one massive particle. We show that the
corresponding part of the S matrix is determined by the symmetries of the
theory up to a single unknown function, which depends on the energy and mass of
the incoming particles, together with the scattering angle. Performing a
straight forward scattering calculation by means of Feynman diagrams, this
function is determined to leading order in a low-energy approximation. The
result is strikingly simple, and it coincides exactly with the corresponding
function in the (2,0) theory.
| [
{
"created": "Wed, 8 Feb 2006 08:32:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Flink",
"Erik",
""
]
] | Compactifying the A_1 version of (2,0) theory on a circle gives rise to five-dimensional, maximally supersymmetric Yang-Mills theory. In the Coulomb branch, where the SU(2) gauge group is spontaneously broken to a U(1) subgroup, the degrees of freedom are constituted by one massless and two massive vector multiplets. Because of the relation to the six-dimensional (2,0) theory, we are then interested in scattering processes where both the in-state and the out-state consist of one massless and one massive particle. We show that the corresponding part of the S matrix is determined by the symmetries of the theory up to a single unknown function, which depends on the energy and mass of the incoming particles, together with the scattering angle. Performing a straight forward scattering calculation by means of Feynman diagrams, this function is determined to leading order in a low-energy approximation. The result is strikingly simple, and it coincides exactly with the corresponding function in the (2,0) theory. |
0708.1226 | Xian Gao | Xian Gao | Non-supersymmetric Attractors in Born-Infeld Black Holes with a
Cosmological Constant | 18 pages, no figue | JHEP 0711:006,2007 | 10.1088/1126-6708/2007/11/006 | null | hep-th | null | We investigate the attractor mechanism for spherically symmetric extremal
black holes in Einstein-Born-Infeld-dilaton theory of gravity in
four-dimensions, in the presence of a cosmological constant. We look for
solutions analytic near the horizon by using perturbation method. It is shown
that the values of the scalar fields at the horizon are only dependent on the
charges carried by the black hole and are irrelevant in their asymptotic
values. This analysis supports the validity of non-supersymmetric attractors in
the presence of higher derivative interactions in the gauge fields part and in
non-asymptotically flat spacetime.
| [
{
"created": "Thu, 9 Aug 2007 09:01:29 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Aug 2007 09:52:23 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Aug 2007 07:26:59 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Nov 2007 10:50:46 GMT",
"version": "v4"
}
] | 2010-02-03 | [
[
"Gao",
"Xian",
""
]
] | We investigate the attractor mechanism for spherically symmetric extremal black holes in Einstein-Born-Infeld-dilaton theory of gravity in four-dimensions, in the presence of a cosmological constant. We look for solutions analytic near the horizon by using perturbation method. It is shown that the values of the scalar fields at the horizon are only dependent on the charges carried by the black hole and are irrelevant in their asymptotic values. This analysis supports the validity of non-supersymmetric attractors in the presence of higher derivative interactions in the gauge fields part and in non-asymptotically flat spacetime. |
1208.2166 | Malin G\"oteman | Malin Goteman | N=(4,4) supersymmetry and T-duality | 26 pages | null | null | UUITP-16/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A sigma model with four-dimensional target space parametrized by chiral and
twisted chiral N=(2,2) superfields can be extended to N=(4,4) supersymmetry
off-shell, but this is not true for a model of semichiral fields, where the
N=(4,4) supersymmetry can only be realized on-shell. The two models can be
related to each other by T-duality.
In this paper we perform a duality transformation from a chiral and twisted
chiral model with off-shell N=(4,4) supersymmetry to a semichiral model. We
find that additional non-linear terms must be added to the original
transformations to obtain a semichiral model with N=(4,4) supersymmetry, and
that the algebra closes on-shell as a direct consequence of the T-duality.
| [
{
"created": "Fri, 10 Aug 2012 13:26:02 GMT",
"version": "v1"
}
] | 2012-08-13 | [
[
"Goteman",
"Malin",
""
]
] | A sigma model with four-dimensional target space parametrized by chiral and twisted chiral N=(2,2) superfields can be extended to N=(4,4) supersymmetry off-shell, but this is not true for a model of semichiral fields, where the N=(4,4) supersymmetry can only be realized on-shell. The two models can be related to each other by T-duality. In this paper we perform a duality transformation from a chiral and twisted chiral model with off-shell N=(4,4) supersymmetry to a semichiral model. We find that additional non-linear terms must be added to the original transformations to obtain a semichiral model with N=(4,4) supersymmetry, and that the algebra closes on-shell as a direct consequence of the T-duality. |
1210.1755 | Alexander Ochirov Mr. | Ruth Britto and Alexander Ochirov | On-shell recursion for massive fermion currents | 30 pages, 8 figures; v2 minor corrections, journal version | JHEP 1301 (2013) 002 | 10.1007/JHEP01(2013)002 | IPhT-t12/079 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the validity of BCFW recursion relations for currents of n - 2
gluons and two massive quarks, where one of the quarks is off shell and the
remaining particles are on shell. These currents are gauge-dependent and can be
used as ingredients in the unitarity-based approach to computing one-loop
amplitudes. The validity of BCFW recursion relations is well known to depend on
the so-called boundary behavior of the currents as the momentum shift parameter
goes to infinity. With off-shell currents, a new potential problem arises,
namely unphysical poles that depend on the choice of gauge. We identify
conditions under which boundary terms are absent and unphysical poles are
avoided, so that there is a natural recursion relation. In particular, we are
able to choose a gauge in which we construct a valid shift for currents with at
least n - 3 gluons of the same helicity. We derive an analytic formula in the
case where all gluons have the same helicity. As by-products, we prove the
vanishing boundary behavior of general off-shell objects in Feynman gauge, and
we find a compact generalization of Berends-Giele gluon currents with a generic
reference spinor.
| [
{
"created": "Fri, 5 Oct 2012 13:32:33 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2012 14:01:45 GMT",
"version": "v2"
}
] | 2013-01-07 | [
[
"Britto",
"Ruth",
""
],
[
"Ochirov",
"Alexander",
""
]
] | We analyze the validity of BCFW recursion relations for currents of n - 2 gluons and two massive quarks, where one of the quarks is off shell and the remaining particles are on shell. These currents are gauge-dependent and can be used as ingredients in the unitarity-based approach to computing one-loop amplitudes. The validity of BCFW recursion relations is well known to depend on the so-called boundary behavior of the currents as the momentum shift parameter goes to infinity. With off-shell currents, a new potential problem arises, namely unphysical poles that depend on the choice of gauge. We identify conditions under which boundary terms are absent and unphysical poles are avoided, so that there is a natural recursion relation. In particular, we are able to choose a gauge in which we construct a valid shift for currents with at least n - 3 gluons of the same helicity. We derive an analytic formula in the case where all gluons have the same helicity. As by-products, we prove the vanishing boundary behavior of general off-shell objects in Feynman gauge, and we find a compact generalization of Berends-Giele gluon currents with a generic reference spinor. |
2401.04223 | Daniel S. Freed | Daniel S. Freed, Michael J. Hopkins, Constantin Teleman | The Odd Fermion | 6 pages, 2 figures | null | null | null | hep-th cond-mat.str-el math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short note we use the geometric approach to (topological) field
theory to address the question: Does an odd number of quantum mechanical
fermions make sense?
| [
{
"created": "Mon, 8 Jan 2024 20:25:38 GMT",
"version": "v1"
}
] | 2024-01-10 | [
[
"Freed",
"Daniel S.",
""
],
[
"Hopkins",
"Michael J.",
""
],
[
"Teleman",
"Constantin",
""
]
] | In this short note we use the geometric approach to (topological) field theory to address the question: Does an odd number of quantum mechanical fermions make sense? |
hep-th/9810011 | Jose Francisco Gomes | J.F.Gomes, F.E. Mendon\c{c}a da Silveira, G.M. Sotkov and A.H.
Zimerman | Classical and Quantum $V$-algebras | Latex, 20 pages | null | null | null | hep-th | null | The problem of the classification of the extensions of the Virasoro algebra
is discussed. It is shown that all $H$-reduced $\hat{\cal G}_{r}$-current
algebras belong to one of the following basic algebraic structures: local
quadratic $W$-algebras, rational $U$-algebras, nonlocal $V$-algebras, nonlocal
quadratic $WV$-algebras and rational nonlocal $UV$-algebras. The main new
features of the quantum $V$-algebras and their heighest weight representations
are demonstrated on the example of the quantum $V_{3}^{(1,1)}$-algebra.
| [
{
"created": "Thu, 1 Oct 1998 21:18:45 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Gomes",
"J. F.",
""
],
[
"da Silveira",
"F. E. Mendonça",
""
],
[
"Sotkov",
"G. M.",
""
],
[
"Zimerman",
"A. H.",
""
]
] | The problem of the classification of the extensions of the Virasoro algebra is discussed. It is shown that all $H$-reduced $\hat{\cal G}_{r}$-current algebras belong to one of the following basic algebraic structures: local quadratic $W$-algebras, rational $U$-algebras, nonlocal $V$-algebras, nonlocal quadratic $WV$-algebras and rational nonlocal $UV$-algebras. The main new features of the quantum $V$-algebras and their heighest weight representations are demonstrated on the example of the quantum $V_{3}^{(1,1)}$-algebra. |
hep-th/9606144 | Andrei Mironov | S.Kharchev, A.Mironov, A.Zhedanov | Faces of Relativistic Toda Chain | 51 pages, LaTeX, no figures (some misprints are corrected) | Int.J.Mod.Phys. A12 (1997) 2675-2724 | 10.1142/S0217751X97001493 | ITEP/TH-1/95, FIAN/TD-19/95 | hep-th nlin.SI solv-int | null | We demonstrate that the generalization of the relativistic Toda chain (RTC)
is a special reduction of two-dimensional Toda Lattice hierarchy (2DTL). This
reduction implies that the RTC is gauge equivalent to the discrete AKNS
hierarchy and, which is the same, to the two-component Volterra hierarchy while
its forced (semi-infinite) variant is described by the unitary matrix integral.
The integrable properties of the RTC hierarchy are revealed in different
frameworks of: Lax representation, orthogonal polynomial systems, and
$\tau$-function approach. Relativistic Toda molecule hierarchy is also
considered, along with the forced RTC. Some applications to biorthogonal
polynomial systems are discussed.
| [
{
"created": "Sat, 22 Jun 1996 22:14:05 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 1996 15:08:16 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Kharchev",
"S.",
""
],
[
"Mironov",
"A.",
""
],
[
"Zhedanov",
"A.",
""
]
] | We demonstrate that the generalization of the relativistic Toda chain (RTC) is a special reduction of two-dimensional Toda Lattice hierarchy (2DTL). This reduction implies that the RTC is gauge equivalent to the discrete AKNS hierarchy and, which is the same, to the two-component Volterra hierarchy while its forced (semi-infinite) variant is described by the unitary matrix integral. The integrable properties of the RTC hierarchy are revealed in different frameworks of: Lax representation, orthogonal polynomial systems, and $\tau$-function approach. Relativistic Toda molecule hierarchy is also considered, along with the forced RTC. Some applications to biorthogonal polynomial systems are discussed. |
1411.5475 | Daniel Fleischer | Ofer Aharony and Daniel Fleischer | IR Dualities in General 3d Supersymmetric SU(N) QCD Theories | 12 pages. Added reference and corrected typo; JHEP version | JHEP 1502 (2015) 162 | 10.1007/JHEP02(2015)162 | WIS/09/14-NOV-DPPA | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the last twenty years, low-energy (IR) dualities have been found for many
pairs of supersymmetric gauge theories with four supercharges, both in four
space-time dimensions and in three space-time dimensions. In particular, duals
have been found for 3d N=2 supersymmetric QCD theories with gauge group U(N),
with F chiral multiplets in the fundamental representation, with F' chiral
multiplets in the anti-fundamental representation, and with Chern-Simons level
k, for all values of N, F, F' and k for which the theory preserves
supersymmetry. For SU(N) theories the duals have been found in some cases, such
as F=F' and F'=0, but not in the general case. In this note we find the IR dual
for SU(N) SQCD theories with general values of N, F, F' and a non-zero k, which
preserve supersymmetry.
| [
{
"created": "Thu, 20 Nov 2014 09:16:09 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Feb 2015 17:51:41 GMT",
"version": "v2"
}
] | 2015-03-03 | [
[
"Aharony",
"Ofer",
""
],
[
"Fleischer",
"Daniel",
""
]
] | In the last twenty years, low-energy (IR) dualities have been found for many pairs of supersymmetric gauge theories with four supercharges, both in four space-time dimensions and in three space-time dimensions. In particular, duals have been found for 3d N=2 supersymmetric QCD theories with gauge group U(N), with F chiral multiplets in the fundamental representation, with F' chiral multiplets in the anti-fundamental representation, and with Chern-Simons level k, for all values of N, F, F' and k for which the theory preserves supersymmetry. For SU(N) theories the duals have been found in some cases, such as F=F' and F'=0, but not in the general case. In this note we find the IR dual for SU(N) SQCD theories with general values of N, F, F' and a non-zero k, which preserve supersymmetry. |
hep-th/9207107 | Kresimir Demeterfi | Jean Avan | $w_{\infty}$-Currents in 3-Dimensional Toda Theory | 13 pages | Phys.Lett. A168 (1992) 363-369 | 10.1016/0375-9601(92)90519-R | null | hep-th | null | Chiral densities obeying a $w_{\infty}$ Poisson--bracket algebra are
constructed for the $2+1\,\, A_{\infty}$ -- Toda field theory, using its
alternative $w_{\infty}$ -- Toda representation. They are obtained from formal
traces of powers of the Lax operator. The spin 2 and 3 currents are explicitely
derived, and the consistency of their Poisson algebra is checked.
| [
{
"created": "Thu, 30 Jul 1992 18:47:10 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Avan",
"Jean",
""
]
] | Chiral densities obeying a $w_{\infty}$ Poisson--bracket algebra are constructed for the $2+1\,\, A_{\infty}$ -- Toda field theory, using its alternative $w_{\infty}$ -- Toda representation. They are obtained from formal traces of powers of the Lax operator. The spin 2 and 3 currents are explicitely derived, and the consistency of their Poisson algebra is checked. |
hep-th/0502117 | Olaf Lechtenfeld | Tatiana A. Ivanova, Olaf Lechtenfeld | Noncommutative Instantons in 4k Dimensions | 1+10 pages | Phys.Lett. B612 (2005) 65-74 | 10.1016/j.physletb.2005.02.054 | null | hep-th | null | We consider Ward's generalized self-duality equations for U(2r) Yang-Mills
theory on R^{4k} and their Moyal deformation under self-dual noncommutativity.
Employing an extended ADHM construction we find two kinds of explicit
solutions, which generalize the 't Hooft and BPST instantons from R^4 to
noncommutative R^{4k}. The BPST-type configurations appear to be new even in
the commutative case.
| [
{
"created": "Sun, 13 Feb 2005 15:52:46 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Ivanova",
"Tatiana A.",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] | We consider Ward's generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which generalize the 't Hooft and BPST instantons from R^4 to noncommutative R^{4k}. The BPST-type configurations appear to be new even in the commutative case. |
1010.0793 | D. J. Toms | David J. Toms | Quantum gravitational contributions to quantum electrodynamics | To be published in Nature. 19 pages LaTeX, no figures | Nature 468:56-59,2010 | 10.1038/nature09506 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum electrodynamics describes the interactions of electrons and photons.
Electric charge (the gauge coupling constant) is energy dependent, and there is
a previous claim that charge is affected by gravity (described by general
relativity) with the implication that the charge is reduced at high energies.
But that claim has been very controversial with the situation inconclusive.
Here I report an analysis (free from earlier controversies) demonstrating that
that quantum gravity corrections to quantum electrodynamics have a quadratic
energy dependence that result in the reduction of the electric charge at high
energies, a result known as asymptotic freedom.
| [
{
"created": "Tue, 5 Oct 2010 08:14:28 GMT",
"version": "v1"
}
] | 2011-11-10 | [
[
"Toms",
"David J.",
""
]
] | Quantum electrodynamics describes the interactions of electrons and photons. Electric charge (the gauge coupling constant) is energy dependent, and there is a previous claim that charge is affected by gravity (described by general relativity) with the implication that the charge is reduced at high energies. But that claim has been very controversial with the situation inconclusive. Here I report an analysis (free from earlier controversies) demonstrating that that quantum gravity corrections to quantum electrodynamics have a quadratic energy dependence that result in the reduction of the electric charge at high energies, a result known as asymptotic freedom. |
hep-th/0701244 | Eric R. Sharpe | J. Distler, E. Sharpe | Heterotic compactifications with principal bundles for general groups
and general levels | 48 pages, LaTeX; v2: references added; v3: typos fixed | Adv.Theor.Math.Phys.14:335-398,2010 | 10.4310/ATMP.2010.v14.n2.a1 | UTTG-18-06 | hep-th | null | We examine to what extent heterotic string worldsheets can describe arbitrary
E8xE8 gauge fields. The traditional construction of heterotic strings builds
each E8 via a Spin(16)/Z2 subgroup, typically realized as a current algebra by
left-moving fermions, and as a result, only E8 gauge fields reducible to
Spin(16)/Z2 gauge fields are directly realizable in standard constructions.
However, there exist perturbatively consistent E8 gauge fields which can not be
reduced to Spin(16)/Z2, and so cannot be described within standard heterotic
worldsheet constructions. A natural question to then ask is whether there
exists any (0,2) SCFT that can describe such E8 gauge fields. To answer this
question, we first show how each ten-dimensional E8 partition function can be
built up using other subgroups than Spin(16)/Z2, then construct ``fibered WZW
models'' which allow us to explicitly couple current algebras for general
groups and general levels to heterotic strings. This technology gives us a very
general approach to handling heterotic compactifications with arbitrary
principal bundles. It also gives us a physical realization of some elliptic
genera constructed recently by Ando and Liu.
| [
{
"created": "Fri, 26 Jan 2007 13:46:28 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2007 16:40:29 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Oct 2007 11:58:26 GMT",
"version": "v3"
}
] | 2016-10-04 | [
[
"Distler",
"J.",
""
],
[
"Sharpe",
"E.",
""
]
] | We examine to what extent heterotic string worldsheets can describe arbitrary E8xE8 gauge fields. The traditional construction of heterotic strings builds each E8 via a Spin(16)/Z2 subgroup, typically realized as a current algebra by left-moving fermions, and as a result, only E8 gauge fields reducible to Spin(16)/Z2 gauge fields are directly realizable in standard constructions. However, there exist perturbatively consistent E8 gauge fields which can not be reduced to Spin(16)/Z2, and so cannot be described within standard heterotic worldsheet constructions. A natural question to then ask is whether there exists any (0,2) SCFT that can describe such E8 gauge fields. To answer this question, we first show how each ten-dimensional E8 partition function can be built up using other subgroups than Spin(16)/Z2, then construct ``fibered WZW models'' which allow us to explicitly couple current algebras for general groups and general levels to heterotic strings. This technology gives us a very general approach to handling heterotic compactifications with arbitrary principal bundles. It also gives us a physical realization of some elliptic genera constructed recently by Ando and Liu. |
1601.06989 | Timothy J. Hollowood | Timothy J. Hollowood and Graham M. Shore | Causality, Renormalizability and Ultra-High Energy Gravitational
Scattering | 23 pages | null | 10.1088/1751-8113/49/21/215401 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The amplitude A(s,t) for ultra-high energy scattering can be found in the
leading eikonal approximation by considering propagation in an Aichelburg-Sexl
gravitational shockwave background. Loop corrections in the QFT describing the
scattered particles are encoded for energies below the Planck scale in an
effective action which in general exhibits causality violation and Shapiro time
advances. In this paper, we use Penrose limit techniques to calculate the full
energy dependence of the scattering phase shift Theta_scat(hat_s},, where the
single variable hat_s = Gs/m^2 b^(d-2) contains both the CM energy s and impact
parameter b, for a range of scalar QFTs in d dimensions with different
renormalizability properties. We evaluate the high-energy limit of
Theta_scat(hat_s) and show in detail how causality is related to the existence
of a well-defined UV completion. Similarities with graviton scattering and the
corresponding resolution of causality violation in the effective action by
string theory are briefly discussed.
| [
{
"created": "Tue, 26 Jan 2016 11:56:23 GMT",
"version": "v1"
}
] | 2016-05-25 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Shore",
"Graham M.",
""
]
] | The amplitude A(s,t) for ultra-high energy scattering can be found in the leading eikonal approximation by considering propagation in an Aichelburg-Sexl gravitational shockwave background. Loop corrections in the QFT describing the scattered particles are encoded for energies below the Planck scale in an effective action which in general exhibits causality violation and Shapiro time advances. In this paper, we use Penrose limit techniques to calculate the full energy dependence of the scattering phase shift Theta_scat(hat_s},, where the single variable hat_s = Gs/m^2 b^(d-2) contains both the CM energy s and impact parameter b, for a range of scalar QFTs in d dimensions with different renormalizability properties. We evaluate the high-energy limit of Theta_scat(hat_s) and show in detail how causality is related to the existence of a well-defined UV completion. Similarities with graviton scattering and the corresponding resolution of causality violation in the effective action by string theory are briefly discussed. |
1812.09555 | G\"okhan Yaln{\i}z | O. Teoman Turgut and G\"okhan Yaln{\i}z | An attractive $\phi^4$ theory in light-front coordinates | 26 pages with appendix, 1 table. Added results for the case of $2+1$
dimensions | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study an attractive $\phi^4$ interaction using Tamm-Dancoff truncation
with light-front coordinates in $3+1$ dimensions. The truncated theory requires
a coupling constant renormalization, we compute its $\beta$ function
non-perturbatively, show that the model is asymptotically free, and find the
corresponding Callan-Symanzik equations. The model supports bound states, we
find the wave function for the ground state of the two-particle sector. We also
give a bound for the $N$-particle ground state energy within a mean field
approximation, including the corresponding result for the case of $2+1$
dimensions where the model does not require renormalization.
| [
{
"created": "Sat, 22 Dec 2018 16:23:59 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2019 17:10:06 GMT",
"version": "v2"
}
] | 2019-01-08 | [
[
"Turgut",
"O. Teoman",
""
],
[
"Yalnız",
"Gökhan",
""
]
] | We study an attractive $\phi^4$ interaction using Tamm-Dancoff truncation with light-front coordinates in $3+1$ dimensions. The truncated theory requires a coupling constant renormalization, we compute its $\beta$ function non-perturbatively, show that the model is asymptotically free, and find the corresponding Callan-Symanzik equations. The model supports bound states, we find the wave function for the ground state of the two-particle sector. We also give a bound for the $N$-particle ground state energy within a mean field approximation, including the corresponding result for the case of $2+1$ dimensions where the model does not require renormalization. |
1001.4415 | Victor Red'kov | V. M. Red'kov, E. M. Ovsiyuk | On exact solutions for quantum particles with spin S= 0, 1/2, 1 and de
Sitter event horizon | 30 pages. This paper is an updated and more comprehensive version of
the old paper V.M. Red'kov. On Particle penetrating through de Sitter
horizon. Minsk (1991) 22 pages Deposited in VINITI 30.09.91, 3842 - B91 | Ricerche di matematica, 2011, Vol. 60, no. 1, P. 57-88 | 10.1007/s11587-010-0096-3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Exact wave solutions for particles with spin 0, 1/2 and 1 in the static
coordinates of the de Sitter space-time model are examined in detail. Firstly,
for a scalar particle, two pairs of linearly independent solutions are
specified explicitly: running and standing waves. A known algorithm for
calculation of the reflection coefficient $R_{\epsilon j}$ on the background of
the de Sitter space-time model is analyzed. It is shown that the determination
of R_{\epsilon j} requires an additional constrain on quantum numbers \epsilon
\rho / \hbar c >> j, where \rho is a curvature radius. When taken into account
of this condition, the R_{\epsilon j} vanishes identically. It is claimed that
the calculation of the reflection coefficient R_{\epsilon j} is not required at
all because there is no barrier in an effective potential curve on the
background of the de Sitter space-time. The same conclusion holds for arbitrary
particles with higher spins, it is demonstrated explicitly with the help of
exact solutions for electromagnetic and Dirac fields.
| [
{
"created": "Mon, 25 Jan 2010 13:00:08 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2012 10:14:57 GMT",
"version": "v2"
}
] | 2012-01-24 | [
[
"Red'kov",
"V. M.",
""
],
[
"Ovsiyuk",
"E. M.",
""
]
] | Exact wave solutions for particles with spin 0, 1/2 and 1 in the static coordinates of the de Sitter space-time model are examined in detail. Firstly, for a scalar particle, two pairs of linearly independent solutions are specified explicitly: running and standing waves. A known algorithm for calculation of the reflection coefficient $R_{\epsilon j}$ on the background of the de Sitter space-time model is analyzed. It is shown that the determination of R_{\epsilon j} requires an additional constrain on quantum numbers \epsilon \rho / \hbar c >> j, where \rho is a curvature radius. When taken into account of this condition, the R_{\epsilon j} vanishes identically. It is claimed that the calculation of the reflection coefficient R_{\epsilon j} is not required at all because there is no barrier in an effective potential curve on the background of the de Sitter space-time. The same conclusion holds for arbitrary particles with higher spins, it is demonstrated explicitly with the help of exact solutions for electromagnetic and Dirac fields. |
1710.08853 | Yosuke Imamura | Yosuke Imamura | Orbifold Schur Index and IR formula | v3: 19 pages. References added, eq(34) corrected, and explanations
improved. Version accepted for publication in PTEP | Prog Theor Exp Phys (2018) | 10.1093/ptep/pty025 | TIT/HEP-661 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss orbifold version of the Schur index defined as the supersymmetric
partition function in S^3/Z_n x S^1. We first give a general formula for
Lagrangian theories obtained by localization technique, and then suggest a
generalization of the Cordova and Shao's IR formula. We confirm the generalized
IR formula gives the correct answer for systems with free hypermultiplets if we
tune the background fields so that they are invariant under the orbifold
action. Unfortunately, we find disagreement for theories with dynamical vector
multiplets.
| [
{
"created": "Tue, 24 Oct 2017 15:41:01 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Nov 2017 09:08:31 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Feb 2018 09:02:05 GMT",
"version": "v3"
}
] | 2019-12-06 | [
[
"Imamura",
"Yosuke",
""
]
] | We discuss orbifold version of the Schur index defined as the supersymmetric partition function in S^3/Z_n x S^1. We first give a general formula for Lagrangian theories obtained by localization technique, and then suggest a generalization of the Cordova and Shao's IR formula. We confirm the generalized IR formula gives the correct answer for systems with free hypermultiplets if we tune the background fields so that they are invariant under the orbifold action. Unfortunately, we find disagreement for theories with dynamical vector multiplets. |
hep-th/0503038 | Ben Craps | Ben Craps, Kostas Skenderis | Comments on BRST quantization of strings | 23 pages, latex; v2: typos fixed, footnote and reference added | JHEP 0505 (2005) 001 | 10.1088/1126-6708/2005/05/001 | ITFA-2005-06 | hep-th | null | The BRST quantization of strings is revisited and the derivation of the path
integral measure for scattering amplitudes is streamlined. Gauge invariances
due to zero modes in the ghost sector are taken into account by using the
Batalin-Vilkovisky formalism. This involves promoting the moduli of Riemann
surfaces to quantum mechanical variables on which BRST transformations act. The
familiar ghost and antighost zero mode insertions are recovered upon
integrating out auxiliary fields. In contrast to the usual treatment, the
gauge-fixed action including all zero mode insertions is BRST invariant.
Possible anomalous contributions to BRST Ward identities due to boundaries of
moduli space are reproduced in a novel way. Two models are discussed
explicitly: bosonic string theory and topological gravity coupled to the
topological A-model.
| [
{
"created": "Fri, 4 Mar 2005 11:45:56 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2005 11:29:11 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Craps",
"Ben",
""
],
[
"Skenderis",
"Kostas",
""
]
] | The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the ghost sector are taken into account by using the Batalin-Vilkovisky formalism. This involves promoting the moduli of Riemann surfaces to quantum mechanical variables on which BRST transformations act. The familiar ghost and antighost zero mode insertions are recovered upon integrating out auxiliary fields. In contrast to the usual treatment, the gauge-fixed action including all zero mode insertions is BRST invariant. Possible anomalous contributions to BRST Ward identities due to boundaries of moduli space are reproduced in a novel way. Two models are discussed explicitly: bosonic string theory and topological gravity coupled to the topological A-model. |
hep-th/0605139 | Wei Li | Wei Li and Andrew Strominger | Supersymmetric Probes in a Rotating 5D Attractor | 13 pages | Phys.Lett.B659:407-415,2008 | 10.1016/j.physletb.2007.11.016 | null | hep-th | null | Supersymmetric zero-brane and one-brane probes in the squashed $AdS_2\times
S^3$ near-horizon geometry of the BMPV black hole are studied. Supersymmetric
zero-brane probes stabilized by orbital angular momentum on the $S^3$ are found
and shown to saturate a BPS bound. We also find supersymmetric one-brane probes
which have momentum and winding around a $U(1)_L\times U(1)_R$ torus in the
$S^3$ and in some cases are static.
| [
{
"created": "Sun, 14 May 2006 22:04:56 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Li",
"Wei",
""
],
[
"Strominger",
"Andrew",
""
]
] | Supersymmetric zero-brane and one-brane probes in the squashed $AdS_2\times S^3$ near-horizon geometry of the BMPV black hole are studied. Supersymmetric zero-brane probes stabilized by orbital angular momentum on the $S^3$ are found and shown to saturate a BPS bound. We also find supersymmetric one-brane probes which have momentum and winding around a $U(1)_L\times U(1)_R$ torus in the $S^3$ and in some cases are static. |
hep-th/9410150 | null | S. James Gates Jr. and L. Rana | Ultra-Multiplets: A New Representation of Rigid 2D, N = 8 Supersymmetry | Tiltle: Autors: 12 pages | Phys. Lett. B342 (1995) 132-137 | 10.1016/0370-2693(94)01365-J | UMDEPP 95-49 | hep-th | null | By utilizing a new procedure (the RADIO method) for deriving on-shell 2D,
2N-extended multiplets from off-shell 2D, N-extended multiplets, we derive a
new on-shell 2D, N = 8 representation; the ultra-multiplet. By twisting with
respect to parity, we show that many variant versions of this supermultiplet
also exist.
| [
{
"created": "Thu, 20 Oct 1994 20:21:59 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Gates",
"S. James",
"Jr."
],
[
"Rana",
"L.",
""
]
] | By utilizing a new procedure (the RADIO method) for deriving on-shell 2D, 2N-extended multiplets from off-shell 2D, N-extended multiplets, we derive a new on-shell 2D, N = 8 representation; the ultra-multiplet. By twisting with respect to parity, we show that many variant versions of this supermultiplet also exist. |
hep-th/0308121 | M. Tierz | Miguel Tierz | Quantum group symmetry and discrete scale invariance: Spectral aspects | 15 pages, 2 figures, reorganized and expanded | null | null | null | hep-th gr-qc | null | We study analytical aspects of a generic q-deformation with q real, by
relating it with discrete scale invariance. We show how models of conformal
quantum mechanics, in the strong coupling regime and after regularization, are
also discrete scale invariant. We discuss the consequences of their distinctive
spectra, characterized by functional behavior. The role of log-periodic
behavior and q-periodic functions is examined, and we show how q-deformed zeta
functions, characterized by complex poles, appear. As an application, we
discuss one-loop effects in discretely self-similar space-times.
| [
{
"created": "Tue, 19 Aug 2003 03:08:00 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2005 14:30:49 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Tierz",
"Miguel",
""
]
] | We study analytical aspects of a generic q-deformation with q real, by relating it with discrete scale invariance. We show how models of conformal quantum mechanics, in the strong coupling regime and after regularization, are also discrete scale invariant. We discuss the consequences of their distinctive spectra, characterized by functional behavior. The role of log-periodic behavior and q-periodic functions is examined, and we show how q-deformed zeta functions, characterized by complex poles, appear. As an application, we discuss one-loop effects in discretely self-similar space-times. |
hep-th/9707120 | Andrei Mironov | A.Gorsky, S.Gukov and A.Mironov | Multiscale N=2 SUSY field theories, integrable systems and their
stringy/brane origin -- I | LaTeX with epsf, 5 figures, 42 pages | Nucl.Phys. B517 (1998) 409-461 | 10.1016/S0550-3213(98)00055-8 | ITEP/TH-25/97, FIAN/TD-8/97 | hep-th | null | We discuss supersymmetric Yang-Mills theories with the multiple scales in the
brane language. The issue concerns N=2 SUSY gauge theories with massive
fundamental matter including the UV finite case of $n_{f}=2n_c$, theories
involving products of SU(n) gauge groups with bifundamental matter, and the
systems with several parameters similar to $\Lambda_{QCD}$. We argue that the
proper integrable systems are, accordingly, twisted XXX SL(2) spin chain,
$SL(p)$ magnets and degenerations of the spin Calogero system. The issue of
symmetries underlying integrable systems is addressed. Relations with the
monopole systems are specially discussed. Brane pictures behind all these
integrable structures in the IIB and M theory are suggested. We argue that
degrees of freedom in integrable systems are related to KK excitations in M
theory or D-particles in the IIA string theory, which substitute the infinite
number of instantons in the field theory. This implies the presence of more BPS
states in the low-energy sector.
| [
{
"created": "Fri, 11 Jul 1997 12:03:17 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gorsky",
"A.",
""
],
[
"Gukov",
"S.",
""
],
[
"Mironov",
"A.",
""
]
] | We discuss supersymmetric Yang-Mills theories with the multiple scales in the brane language. The issue concerns N=2 SUSY gauge theories with massive fundamental matter including the UV finite case of $n_{f}=2n_c$, theories involving products of SU(n) gauge groups with bifundamental matter, and the systems with several parameters similar to $\Lambda_{QCD}$. We argue that the proper integrable systems are, accordingly, twisted XXX SL(2) spin chain, $SL(p)$ magnets and degenerations of the spin Calogero system. The issue of symmetries underlying integrable systems is addressed. Relations with the monopole systems are specially discussed. Brane pictures behind all these integrable structures in the IIB and M theory are suggested. We argue that degrees of freedom in integrable systems are related to KK excitations in M theory or D-particles in the IIA string theory, which substitute the infinite number of instantons in the field theory. This implies the presence of more BPS states in the low-energy sector. |
hep-th/9912217 | Martinetti | B. Iochum, T. Krajewski, P. Martinetti | Distances in Finite Spaces from Noncommutative Geometry | 27 pages, 2 figures | J.Geom.Phys. 37 (2001) 100-125 | 10.1016/S0393-0440(00)00044-9 | CPT-99/P.3927 | hep-th gr-qc math-ph math.MP math.OA | null | Following the general principles of noncommutative geometry, it is possible
to define a metric on the space of pure states of the noncommutative algebra
generated by the coordinates. This metric generalizes the usual Riemannian one.
We investigate some general properties of this metric in the finite commutative
case which corresponds to a metric on a finite set, and also give some examples
of computations in both commutative and noncommutative cases.
| [
{
"created": "Wed, 22 Dec 1999 13:17:51 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Iochum",
"B.",
""
],
[
"Krajewski",
"T.",
""
],
[
"Martinetti",
"P.",
""
]
] | Following the general principles of noncommutative geometry, it is possible to define a metric on the space of pure states of the noncommutative algebra generated by the coordinates. This metric generalizes the usual Riemannian one. We investigate some general properties of this metric in the finite commutative case which corresponds to a metric on a finite set, and also give some examples of computations in both commutative and noncommutative cases. |
1605.06383 | Mariana Grana | Mariana Gra\~na and Praxitelis Ntokos | Generalized geometric vacua with eight supercharges | 38 pages | null | 10.1007/JHEP08(2016)107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate compactifications of type II and M-theory down to $AdS_5$ with
generic fluxes that preserve eight supercharges, in the framework of
Exceptional Generalized Geometry. The geometric data and gauge fields on the
internal manifold are encoded in a pair of generalized structures corresponding
to the vector and hyper-multiplets of the reduced five-dimensional
supergravity. Supersymmetry translates into integrability conditions for these
structures, generalizing, in the case of type IIB, the Sasaki-Einstein
conditions. We show that the ten and eleven-dimensional type IIB and M-theory
Killing-spinor equations specialized to a warped $AdS_5$ background imply the
generalized integrability conditions.
| [
{
"created": "Fri, 20 May 2016 14:46:56 GMT",
"version": "v1"
}
] | 2016-09-21 | [
[
"Graña",
"Mariana",
""
],
[
"Ntokos",
"Praxitelis",
""
]
] | We investigate compactifications of type II and M-theory down to $AdS_5$ with generic fluxes that preserve eight supercharges, in the framework of Exceptional Generalized Geometry. The geometric data and gauge fields on the internal manifold are encoded in a pair of generalized structures corresponding to the vector and hyper-multiplets of the reduced five-dimensional supergravity. Supersymmetry translates into integrability conditions for these structures, generalizing, in the case of type IIB, the Sasaki-Einstein conditions. We show that the ten and eleven-dimensional type IIB and M-theory Killing-spinor equations specialized to a warped $AdS_5$ background imply the generalized integrability conditions. |
1707.07968 | teschner | Joerg Teschner | Classical conformal blocks and isomonodromic deformations | 14 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The leading classical asymptotics of Virasoro conformal blocks on the Riemann
sphere with n generic and n-3 "heavy" degenerate field insertions can be
described in terms of the geometry of Garnier system describing the monodromy
preserving deformations of second order Fuchsian differential equations on an
n-punctured sphere. This allows us to characterise the leading classical
asymptotics of Virasoro conformal blocks completely, and to clarify in which
sense conformal field theory represents a quantisation of the isomonodromic
deformation problem.
| [
{
"created": "Tue, 25 Jul 2017 13:00:54 GMT",
"version": "v1"
}
] | 2017-07-26 | [
[
"Teschner",
"Joerg",
""
]
] | The leading classical asymptotics of Virasoro conformal blocks on the Riemann sphere with n generic and n-3 "heavy" degenerate field insertions can be described in terms of the geometry of Garnier system describing the monodromy preserving deformations of second order Fuchsian differential equations on an n-punctured sphere. This allows us to characterise the leading classical asymptotics of Virasoro conformal blocks completely, and to clarify in which sense conformal field theory represents a quantisation of the isomonodromic deformation problem. |
hep-th/9802123 | Wellington da Cruz | Wellington da Cruz | Hausdorff dimension and anyonic distribution functions | latex, 5 pages, added references, minor gammatical changes | null | null | UEL-DF/W-01/98 | hep-th cond-mat hep-ph | null | We obtain the distribution functions for anyonic excitations classified into
equivalence classes labeled by Hausdorff dimension, $h$ and as an example of
such anyonic systems, we consider the collective excitations of the Fractional
Quantum Hall Effect (FQHE).
| [
{
"created": "Wed, 18 Feb 1998 12:26:58 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Mar 1998 12:33:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"da Cruz",
"Wellington",
""
]
] | We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, $h$ and as an example of such anyonic systems, we consider the collective excitations of the Fractional Quantum Hall Effect (FQHE). |
0706.3563 | Hyeonjoon Shin | Wontae Kim, Hyeonjoon Shin | Anomaly Analysis of Hawking Radiation from Acoustic Black Hole | 11 pages; added reference, version to appear in JHEP | JHEP0707:070,2007 | 10.1088/1126-6708/2007/07/070 | CQUeST-2007-0093 | hep-th | null | The Hawking radiation from the three dimensional rotating acoustic black hole
is considered from the viewpoint of anomaly cancellation method initiated by
Robinson and Wilczek. Quantum field near the horizon is effectively described
by two dimensional charged field with a charge identified as the angular
momentum m. The fluxes of charge and energy are obtained from the anomaly
cancellation condition and regularity at the horizon, and are shown to match
with those of the two dimensional black body radiation at the Hawking
temperature.
| [
{
"created": "Mon, 25 Jun 2007 06:41:39 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2007 11:03:32 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kim",
"Wontae",
""
],
[
"Shin",
"Hyeonjoon",
""
]
] | The Hawking radiation from the three dimensional rotating acoustic black hole is considered from the viewpoint of anomaly cancellation method initiated by Robinson and Wilczek. Quantum field near the horizon is effectively described by two dimensional charged field with a charge identified as the angular momentum m. The fluxes of charge and energy are obtained from the anomaly cancellation condition and regularity at the horizon, and are shown to match with those of the two dimensional black body radiation at the Hawking temperature. |
1310.4778 | Tobias Zingg | Tobias Zingg | Logarithmic two-Point Correlation Functions from a z = 2 Lifshitz Model | 31 pages, 2 figures | null | 10.1007/JHEP01(2014)108 | preprint-nr. ITP-UU-13/27 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Einstein-Proca action is known to have asymptotically locally Lifshitz
spacetimes as classical solutions. For dynamical exponent z=2, two-point
correlation functions for fluctuations around such a geometry are derived
analytically. It is found that the retarded correlators are stable in the sense
that all quasinormal modes are situated in the lower half-plane of complex
frequencies. Correlators in the longitudinal channel exhibit features that are
reminiscent of a structure usually obtained in field theories that are
logarithmic, i.e. contain an indecomposable highest weight representation. This
suggests the model at hand as a candidate for a gravity dual of a logarithmic
field theory with anisotropic scaling symmetry.
| [
{
"created": "Thu, 17 Oct 2013 17:18:30 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Zingg",
"Tobias",
""
]
] | The Einstein-Proca action is known to have asymptotically locally Lifshitz spacetimes as classical solutions. For dynamical exponent z=2, two-point correlation functions for fluctuations around such a geometry are derived analytically. It is found that the retarded correlators are stable in the sense that all quasinormal modes are situated in the lower half-plane of complex frequencies. Correlators in the longitudinal channel exhibit features that are reminiscent of a structure usually obtained in field theories that are logarithmic, i.e. contain an indecomposable highest weight representation. This suggests the model at hand as a candidate for a gravity dual of a logarithmic field theory with anisotropic scaling symmetry. |
1006.0239 | Tomas Ortin | P. Meessen, T. Ortin and S. Vaula | All the timelike supersymmetric solutions of all ungauged d=4
supergravities | v3: Some changes in the introduction. Version to be published in JHEP | JHEP 1011:072,2010 | 10.1007/JHEP11(2010)072 | FPAUO-10/03 and IFT-UAM/CSIC-10-29 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the form of all timelike supersymmetric solutions of all N
greater or equal than 2, d=4 ungauged supergravities, for N less or equal than
4 coupled to vector supermultiplets, using the $Usp(n+1,n+1)-symmetric
formulation of Andrianopoli, D'Auria and Ferrara and the spinor-bilinears
method, while preserving the global symmetries of the theories all the way. As
previously conjectured in the literature, the supersymmetric solutions are
always associated to a truncation to an N=2 theory that may include
hypermultiplets, although fields which are eliminated in the truncations can
have non-trivial values, as is required by the preservation of the global
symmetry of the theories. The solutions are determined by a number of
independent functions, harmonic in transverse space, which is twice the number
of vector fields of the theory (n+1). The transverse space is flat if an only
if the would-be hyperscalars of the associated N=2 truncation are trivial.
| [
{
"created": "Tue, 1 Jun 2010 20:08:34 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jun 2010 17:12:50 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Nov 2010 18:21:01 GMT",
"version": "v3"
}
] | 2011-03-17 | [
[
"Meessen",
"P.",
""
],
[
"Ortin",
"T.",
""
],
[
"Vaula",
"S.",
""
]
] | We determine the form of all timelike supersymmetric solutions of all N greater or equal than 2, d=4 ungauged supergravities, for N less or equal than 4 coupled to vector supermultiplets, using the $Usp(n+1,n+1)-symmetric formulation of Andrianopoli, D'Auria and Ferrara and the spinor-bilinears method, while preserving the global symmetries of the theories all the way. As previously conjectured in the literature, the supersymmetric solutions are always associated to a truncation to an N=2 theory that may include hypermultiplets, although fields which are eliminated in the truncations can have non-trivial values, as is required by the preservation of the global symmetry of the theories. The solutions are determined by a number of independent functions, harmonic in transverse space, which is twice the number of vector fields of the theory (n+1). The transverse space is flat if an only if the would-be hyperscalars of the associated N=2 truncation are trivial. |
1504.02094 | Edgar Shaghoulian | Edgar Shaghoulian | A Cardy formula for holographic hyperscaling-violating theories | v3; 12 pages plus a modified appendix | null | 10.1007/JHEP11(2015)081 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a formalism for counting the microstates of a class of
three-dimensional black holes which are not asymptotically AdS. The formalism
rests on the invariance of a dual field theory under a generalized modular
transformation and is extended to Rindler horizons by a singular limit. We also
obtain logarithmic corrections.
| [
{
"created": "Wed, 8 Apr 2015 20:00:20 GMT",
"version": "v1"
},
{
"created": "Fri, 22 May 2015 01:46:14 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Feb 2016 19:53:58 GMT",
"version": "v3"
}
] | 2016-02-11 | [
[
"Shaghoulian",
"Edgar",
""
]
] | We propose a formalism for counting the microstates of a class of three-dimensional black holes which are not asymptotically AdS. The formalism rests on the invariance of a dual field theory under a generalized modular transformation and is extended to Rindler horizons by a singular limit. We also obtain logarithmic corrections. |
1506.02210 | Richard Woodard | R. P. Woodard (University of Florida) | The Theorem of Ostrogradsky | 23 pages, uses LaTeX2e, written for Scholarpedia. Version 2 includes
some extra references and matches to Scholarpedia article | null | null | UFIFT-QG-15-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ostrogradsky's construction of a Hamiltonian formalism for nondegenerate
higher derivative Lagrangians is reviewed. The resulting instability imposes by
far the most powerful restriction on fundamental, interacting, continuum
Lagrangian field theories. A discussion is given of the problems raised by
attempts to evade this restriction.
| [
{
"created": "Sun, 7 Jun 2015 02:19:42 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Aug 2015 20:38:33 GMT",
"version": "v2"
}
] | 2015-08-11 | [
[
"Woodard",
"R. P.",
"",
"University of Florida"
]
] | Ostrogradsky's construction of a Hamiltonian formalism for nondegenerate higher derivative Lagrangians is reviewed. The resulting instability imposes by far the most powerful restriction on fundamental, interacting, continuum Lagrangian field theories. A discussion is given of the problems raised by attempts to evade this restriction. |
hep-th/9703100 | null | Jan de Boer, Kentaro Hori and Yaron Oz | Dynamics of N=2 Supersymmetric Gauge Theories in Three Dimensions | 33 pages, Latex, 6 figures | Nucl.Phys.B500:163-191,1997 | 10.1016/S0550-3213(97)00328-3 | LBNL-40109, UCB-PTH-97/13 | hep-th | null | We study the structure of the moduli spaces of vacua and superpotentials of
N=2 supersymmetric gauge theories in three dimensions. By analyzing the
instanton corrections, we compute the exact superpotentials and determine the
quantum Coulomb and Higgs branches of the theories in the weak coupling
regions. We find candidates for non-trivial N=2 superconformal field theories
at the singularities of the moduli spaces. The analysis is carried out
explicitly for gauge groups U(N_c) and SU(N_c) with N_f flavors. We show that
the field theory results are in complete agreement with the intersecting branes
picture. We also compute the exact superpotentials for arbitrary gauge groups
and arbitrary matter content.
| [
{
"created": "Fri, 14 Mar 1997 00:19:15 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Mar 1997 02:59:48 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Mar 1997 02:34:52 GMT",
"version": "v3"
}
] | 2009-09-29 | [
[
"de Boer",
"Jan",
""
],
[
"Hori",
"Kentaro",
""
],
[
"Oz",
"Yaron",
""
]
] | We study the structure of the moduli spaces of vacua and superpotentials of N=2 supersymmetric gauge theories in three dimensions. By analyzing the instanton corrections, we compute the exact superpotentials and determine the quantum Coulomb and Higgs branches of the theories in the weak coupling regions. We find candidates for non-trivial N=2 superconformal field theories at the singularities of the moduli spaces. The analysis is carried out explicitly for gauge groups U(N_c) and SU(N_c) with N_f flavors. We show that the field theory results are in complete agreement with the intersecting branes picture. We also compute the exact superpotentials for arbitrary gauge groups and arbitrary matter content. |
1403.4545 | Slava Rychkov | Sheer El-Showk, Miguel F. Paulos, David Poland, Slava Rychkov, David
Simmons-Duffin, Alessandro Vichi | Solving the 3d Ising Model with the Conformal Bootstrap II.
c-Minimization and Precise Critical Exponents | 55 pages, many figures; v2 - refs and comments added, to appear in a
special issue of J.Stat.Phys. in memory of Kenneth Wilson | J. Stat. Phys. 157, 869-914 (2014) | 10.1007/s10955-014-1042-7 | CERN-PH-TH/2014-038, NSF-KITP-14-022 | hep-th cond-mat.stat-mech cond-mat.str-el hep-lat math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the conformal bootstrap to perform a precision study of the operator
spectrum of the critical 3d Ising model. We conjecture that the 3d Ising
spectrum minimizes the central charge c in the space of unitary solutions to
crossing symmetry. Because extremal solutions to crossing symmetry are uniquely
determined, we are able to precisely reconstruct the first several Z2-even
operator dimensions and their OPE coefficients. We observe that a sharp
transition in the operator spectrum occurs at the 3d Ising dimension
Delta_sigma=0.518154(15), and find strong numerical evidence that operators
decouple from the spectrum as one approaches the 3d Ising point. We compare
this behavior to the analogous situation in 2d, where the disappearance of
operators can be understood in terms of degenerate Virasoro representations.
| [
{
"created": "Tue, 18 Mar 2014 17:33:43 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 2014 18:01:00 GMT",
"version": "v2"
}
] | 2014-12-04 | [
[
"El-Showk",
"Sheer",
""
],
[
"Paulos",
"Miguel F.",
""
],
[
"Poland",
"David",
""
],
[
"Rychkov",
"Slava",
""
],
[
"Simmons-Duffin",
"David",
""
],
[
"Vichi",
"Alessandro",
""
]
] | We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge c in the space of unitary solutions to crossing symmetry. Because extremal solutions to crossing symmetry are uniquely determined, we are able to precisely reconstruct the first several Z2-even operator dimensions and their OPE coefficients. We observe that a sharp transition in the operator spectrum occurs at the 3d Ising dimension Delta_sigma=0.518154(15), and find strong numerical evidence that operators decouple from the spectrum as one approaches the 3d Ising point. We compare this behavior to the analogous situation in 2d, where the disappearance of operators can be understood in terms of degenerate Virasoro representations. |
hep-th/9409134 | D. V. Ahluwalia, Lanl | D. V. Ahluwalia (LAMPF, Los Alamos National Laboratory) | Theory of Neutral Particles: Mclennan-Case Construct for Neutrino, Its
Generalization, and a New Wave Equation | Revised and re-written version to appear in Int. J. Mod. Phys. A. At
present violations of various symmetries, such as C, P, and T, are assumed to
arise from interactions. It is argued that the violation is more fundamental
than that and is to be found at basic level of the representations of the
Lorentz group. Revtex 3.0 (20 pages) | Int.J.Mod.Phys.A11:1855-1874,1996 | 10.1142/S0217751X96000973 | LA-UR-94-3118 | hep-th hep-ph | null | Continuing our recent argument where we constructed a FNBWW-type spin-$1$
boson having opposite relative intrinsic parity to that of the associated
antiparticle, we now study eigenstates of the Charge Conjugation operator.
Based on the observation that if $\phi_{_{L}}(p^\mu)$ transforms as a $(0,\,j)$
spinor under Lorentz boosts, then $\Theta_{[j]}\,\phi_{_{L}}^\ast(p^\mu)$
transforms as a $(j,\,0)$ spinor (with a similar relationship existing between
$\phi_{_{R}}(p^\mu)$ and $\Theta_{[j]}\,\phi_{_{R}}^\ast(p^\mu)$; where $
\Theta_{[j]}\,{\bf J}\,\Theta_{[j]}^{-1}\,=\,-\,{\bf J}^\ast $ with
$\Theta_{[j]}$ the well known Wigner matrix involved in the operation of time
reversal) we introduce McLennan-Case type $(j,\,0)\oplus(0,\,j)$ spinors.
Relative phases between $\phi_{_{R}}(p^\mu)$ and
$\Theta_{[j]}\,\phi_{_{R}}^\ast(p^\mu)$, and
$\Theta_{[j]}\,\phi_{_{L}}^\ast(p^\mu)$ and $\phi_{_{L}}(p^\mu)$, turn out to
have physical significance and are fixed by appropriate requirements. Explicit
construction, and a series of physically relevant properties, for these spinors
are obtained for spin-$1/2$ and spin-$1$ culminating in the construction of a
new wave equation and introduction of Dirac-like and Majorana-like quantum
fields.
| [
{
"created": "Thu, 22 Sep 1994 21:54:48 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 1995 20:29:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ahluwalia",
"D. V.",
"",
"LAMPF, Los Alamos National Laboratory"
]
] | Continuing our recent argument where we constructed a FNBWW-type spin-$1$ boson having opposite relative intrinsic parity to that of the associated antiparticle, we now study eigenstates of the Charge Conjugation operator. Based on the observation that if $\phi_{_{L}}(p^\mu)$ transforms as a $(0,\,j)$ spinor under Lorentz boosts, then $\Theta_{[j]}\,\phi_{_{L}}^\ast(p^\mu)$ transforms as a $(j,\,0)$ spinor (with a similar relationship existing between $\phi_{_{R}}(p^\mu)$ and $\Theta_{[j]}\,\phi_{_{R}}^\ast(p^\mu)$; where $ \Theta_{[j]}\,{\bf J}\,\Theta_{[j]}^{-1}\,=\,-\,{\bf J}^\ast $ with $\Theta_{[j]}$ the well known Wigner matrix involved in the operation of time reversal) we introduce McLennan-Case type $(j,\,0)\oplus(0,\,j)$ spinors. Relative phases between $\phi_{_{R}}(p^\mu)$ and $\Theta_{[j]}\,\phi_{_{R}}^\ast(p^\mu)$, and $\Theta_{[j]}\,\phi_{_{L}}^\ast(p^\mu)$ and $\phi_{_{L}}(p^\mu)$, turn out to have physical significance and are fixed by appropriate requirements. Explicit construction, and a series of physically relevant properties, for these spinors are obtained for spin-$1/2$ and spin-$1$ culminating in the construction of a new wave equation and introduction of Dirac-like and Majorana-like quantum fields. |
0712.2173 | Piotr Su{\l}kowski | Piotr Su{\l}kowski | Calabi-Yau crystals in topological string theory | PhD thesis, June 2007, 200 pages, introductory chapter in Polish | null | null | null | hep-th | null | This thesis is concerned with a realisation of topological theories in terms
of statistical models known as Calabi-Yau crystals. The thesis starts with an
introduction and review of topological field and string theories. Subsequently
several new results are presented. The main focus of the thesis is on the
topological string theory. In this case crystal models correspond to
three-dimensional partitions and their relations with the topological vertex
theory and knot invariants are studied. Two-dimensional crystal models
corresponding to topological gauge theories on ALE spaces are also introduced
and analysed. Essential mathematical tools are summarised in appendices.
| [
{
"created": "Thu, 13 Dec 2007 15:45:52 GMT",
"version": "v1"
}
] | 2007-12-14 | [
[
"Sułkowski",
"Piotr",
""
]
] | This thesis is concerned with a realisation of topological theories in terms of statistical models known as Calabi-Yau crystals. The thesis starts with an introduction and review of topological field and string theories. Subsequently several new results are presented. The main focus of the thesis is on the topological string theory. In this case crystal models correspond to three-dimensional partitions and their relations with the topological vertex theory and knot invariants are studied. Two-dimensional crystal models corresponding to topological gauge theories on ALE spaces are also introduced and analysed. Essential mathematical tools are summarised in appendices. |
1507.08165 | Bernd Schroers | Rogelio Jante and Bernd J Schroers | Taub-NUT Dynamics with a Magnetic Field | 36 pages, three figures | null | 10.1016/j.geomphys.2016.02.016 | EMPG-14-22 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study classical and quantum dynamics on the Euclidean Taub-NUT geometry
coupled to an abelian gauge field with self-dual curvature and show that, even
though Taub-NUT has neither bounded orbits nor quantum bound states, the
magnetic binding via the gauge field produces both. The conserved Runge-Lenz
vector of Taub-NUT dynamics survives, in a modified form, in the gauged model
and allows for an essentially algebraic computation of classical trajectories
and energies of quantum bound states. We also compute scattering cross sections
and find a surprising electric-magnetic duality. Finally, we exhibit the
dynamical symmetry behind the conserved Runge-Lenz and angular momentum vectors
in terms of a twistorial formulation of phase space.
| [
{
"created": "Wed, 29 Jul 2015 14:44:34 GMT",
"version": "v1"
}
] | 2016-05-04 | [
[
"Jante",
"Rogelio",
""
],
[
"Schroers",
"Bernd J",
""
]
] | We study classical and quantum dynamics on the Euclidean Taub-NUT geometry coupled to an abelian gauge field with self-dual curvature and show that, even though Taub-NUT has neither bounded orbits nor quantum bound states, the magnetic binding via the gauge field produces both. The conserved Runge-Lenz vector of Taub-NUT dynamics survives, in a modified form, in the gauged model and allows for an essentially algebraic computation of classical trajectories and energies of quantum bound states. We also compute scattering cross sections and find a surprising electric-magnetic duality. Finally, we exhibit the dynamical symmetry behind the conserved Runge-Lenz and angular momentum vectors in terms of a twistorial formulation of phase space. |
1102.5440 | Jon Chkareuli | J.L. Chkareuli, C.D. Froggatt, H.B. Nielsen | Spontaneously Generated Tensor Field Gravity | 27 pages, published version, to appear in Nuclear Physics B | null | 10.1016/j.nuclphysb.2011.03.009 | null | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An arbitrary local theory of a symmetric two-tensor field $H_{\mu \nu}$ in
Minkowski spacetime is considered, in which the equations of motion are
required to be compatible with a nonlinear length-fixing constraint $H_{\mu
\nu}^{2}=\pm M^{2}$ leading to spontaneous Lorentz invariance violation, SLIV
($M$ is the proposed scale for SLIV). Allowing the parameters in the Lagrangian
to be adjusted so as to be consistent with this constraint, the theory turns
out to correspond to linearized general relativity in the weak field
approximation, while some of the massless tensor Goldstone modes appearing
through SLIV are naturally collected in the physical graviton. In essence the
underlying diffeomophism invariance emerges as a necessary condition for the
tensor field $H_{\mu \nu}$ not to be superfluously restricted in degrees of
freedom, apart from the constraint due to which the true vacuum in the theory
is chosen by SLIV. The emergent theory appears essentially nonlinear, when
expressed in terms of the pure Goldstone tensor modes and contains a plethora
of new Lorentz and $CPT$ violating couplings. However, these couplings do not
lead to physical Lorentz violation once this tensor field gravity is properly
extended to conventional general relativity.
| [
{
"created": "Sat, 26 Feb 2011 20:03:23 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2011 14:36:58 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Mar 2011 16:35:12 GMT",
"version": "v3"
}
] | 2015-05-27 | [
[
"Chkareuli",
"J. L.",
""
],
[
"Froggatt",
"C. D.",
""
],
[
"Nielsen",
"H. B.",
""
]
] | An arbitrary local theory of a symmetric two-tensor field $H_{\mu \nu}$ in Minkowski spacetime is considered, in which the equations of motion are required to be compatible with a nonlinear length-fixing constraint $H_{\mu \nu}^{2}=\pm M^{2}$ leading to spontaneous Lorentz invariance violation, SLIV ($M$ is the proposed scale for SLIV). Allowing the parameters in the Lagrangian to be adjusted so as to be consistent with this constraint, the theory turns out to correspond to linearized general relativity in the weak field approximation, while some of the massless tensor Goldstone modes appearing through SLIV are naturally collected in the physical graviton. In essence the underlying diffeomophism invariance emerges as a necessary condition for the tensor field $H_{\mu \nu}$ not to be superfluously restricted in degrees of freedom, apart from the constraint due to which the true vacuum in the theory is chosen by SLIV. The emergent theory appears essentially nonlinear, when expressed in terms of the pure Goldstone tensor modes and contains a plethora of new Lorentz and $CPT$ violating couplings. However, these couplings do not lead to physical Lorentz violation once this tensor field gravity is properly extended to conventional general relativity. |
0910.0934 | Harald Dorn | Harald Dorn | Some comments on spacelike minimal surfaces with null polygonal
boundaries in $AdS_m$ | 13 pages, a note and references added, version to appear in JHEP | JHEP 1002:013,2010 | 10.1007/JHEP02(2010)013 | HU-EP-09/47 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss some geometrical issues related to spacelike minimal surfaces in
$AdS_m$ with null polygonal boundaries at conformal infinity. In particular for
$AdS_4$, two holomorphic input functions for the Pohlmeyer reduced system are
identified. This system contains two coupled differential equations for two
functions $\alpha (z,\bar z)$ and $\beta (z,\bar z)$, related to curvature and
torsion of the surface. Furthermore, we conjecture that, for a polynomial
choice of the two holomorphic functions, the relative positions of their zeros
encode the conformal invariant data of the boundary null $2n$-gon.
| [
{
"created": "Tue, 6 Oct 2009 07:47:40 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2010 15:10:44 GMT",
"version": "v2"
}
] | 2010-02-11 | [
[
"Dorn",
"Harald",
""
]
] | We discuss some geometrical issues related to spacelike minimal surfaces in $AdS_m$ with null polygonal boundaries at conformal infinity. In particular for $AdS_4$, two holomorphic input functions for the Pohlmeyer reduced system are identified. This system contains two coupled differential equations for two functions $\alpha (z,\bar z)$ and $\beta (z,\bar z)$, related to curvature and torsion of the surface. Furthermore, we conjecture that, for a polynomial choice of the two holomorphic functions, the relative positions of their zeros encode the conformal invariant data of the boundary null $2n$-gon. |
0912.0272 | Joseph Marsano | Joseph Marsano, Natalia Saulina, Sakura Schafer-Nameki | Compact F-theory GUTs with U(1)_PQ | 73 pages, 5 figures, v2: minor corrections to 4.3 and 6.3.1,
reference added | JHEP 1004:095,2010 | 10.1007/JHEP04(2010)095 | CALT-68-2765, EFI-09-35, NSF-KITP-09-209, PI-STRINGS-168 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct semi-local and global realizations of SU(5) GUTs in F-theory
that utilize a U(1)_PQ symmetry to protect against dimension four proton decay.
Symmetries of this type, which assign charges to H_u and H_d that forbid a tree
level \mu term, play an important role in scenarios for neutrino physics and
gauge mediation that have been proposed in local F-theory model building. As
demonstrated in arXiv:0906.4672, the presence of such a symmetry implies the
existence of non-GUT exotics in the spectrum, when hypercharge flux is used to
break the GUT group and to give rise to doublet-triplet splitting. These
exotics are of precisely the right type to solve the unification problem in
such F-theory models and might also comprise a non-standard messenger sector
for gauge mediation. We present a detailed description of models with U(1)_PQ
in the semi-local regime, which does not depend on details of any specific
Calabi-Yau four-fold, and then specialize to the geometry of arXiv:0904.3932 to
construct three-generation examples with the minimal allowed number of non-GUT
exotics. Among these, we find a handful of models in which the D3-tadpole
constraint can be satisfied without requiring the introduction of
anti-D3-branes. Finally, because SU(5) singlets that carry U(1)_PQ charge may
serve as candidate right-handed neutrinos or can be used to lift the exotics,
we study their origin in compact models and motivate a conjecture for how to
count their zero modes in a semi-local setting.
| [
{
"created": "Tue, 1 Dec 2009 21:27:54 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Dec 2009 18:52:58 GMT",
"version": "v2"
}
] | 2010-05-12 | [
[
"Marsano",
"Joseph",
""
],
[
"Saulina",
"Natalia",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] | We construct semi-local and global realizations of SU(5) GUTs in F-theory that utilize a U(1)_PQ symmetry to protect against dimension four proton decay. Symmetries of this type, which assign charges to H_u and H_d that forbid a tree level \mu term, play an important role in scenarios for neutrino physics and gauge mediation that have been proposed in local F-theory model building. As demonstrated in arXiv:0906.4672, the presence of such a symmetry implies the existence of non-GUT exotics in the spectrum, when hypercharge flux is used to break the GUT group and to give rise to doublet-triplet splitting. These exotics are of precisely the right type to solve the unification problem in such F-theory models and might also comprise a non-standard messenger sector for gauge mediation. We present a detailed description of models with U(1)_PQ in the semi-local regime, which does not depend on details of any specific Calabi-Yau four-fold, and then specialize to the geometry of arXiv:0904.3932 to construct three-generation examples with the minimal allowed number of non-GUT exotics. Among these, we find a handful of models in which the D3-tadpole constraint can be satisfied without requiring the introduction of anti-D3-branes. Finally, because SU(5) singlets that carry U(1)_PQ charge may serve as candidate right-handed neutrinos or can be used to lift the exotics, we study their origin in compact models and motivate a conjecture for how to count their zero modes in a semi-local setting. |
hep-th/9806207 | Igor Tyutin | I.A.Batalin (Lebedev Phys. Inst.), S.L.Lyakhovich (Tomsk U.),
I.V.Tyutin (Lebedev Phys. Inst.) | Existence Theorem for Split Involution Constraint Algebra | 24 pages | Int.J.Mod.Phys. A15 (2000) 307-334 | 10.1142/S0217751X00000148 | FIAN/TD/98-12 | hep-th | null | Existence theorem is proven for the generating equations of the split
involution constraint algebra. The structure of the general solution is
established, and the characteristic arbitrariness in generating functions is
described.
| [
{
"created": "Thu, 25 Jun 1998 12:54:00 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Batalin",
"I. A.",
"",
"Lebedev Phys. Inst."
],
[
"Lyakhovich",
"S. L.",
"",
"Tomsk U."
],
[
"Tyutin",
"I. V.",
"",
"Lebedev Phys. Inst."
]
] | Existence theorem is proven for the generating equations of the split involution constraint algebra. The structure of the general solution is established, and the characteristic arbitrariness in generating functions is described. |
hep-th/0607080 | James Sparks | Jerome P. Gauntlett, Dario Martelli, James Sparks, Shing-Tung Yau | Obstructions to the Existence of Sasaki-Einstein Metrics | 35 pages, 1 figure; references and a footnote added | Commun.Math.Phys.273:803-827,2007 | 10.1007/s00220-007-0213-7 | Imperial/TP/2006/JG/01, CERN-PH-TH/2006-129, HUTP-06/A0018 | hep-th math.DG | null | We describe two simple obstructions to the existence of Ricci-flat Kahler
cone metrics on isolated Gorenstein singularities or, equivalently, to the
existence of Sasaki-Einstein metrics on the links of these singularities. In
particular, this also leads to new obstructions for Kahler-Einstein metrics on
Fano orbifolds. We present several families of hypersurface singularities that
are obstructed, including 3-fold and 4-fold singularities of ADE type that have
been studied previously in the physics literature. We show that the AdS/CFT
dual of one obstruction is that the R-charge of a gauge invariant chiral
primary operator violates the unitarity bound.
| [
{
"created": "Wed, 12 Jul 2006 15:39:57 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 2006 16:38:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gauntlett",
"Jerome P.",
""
],
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
],
[
"Yau",
"Shing-Tung",
""
]
] | We describe two simple obstructions to the existence of Ricci-flat Kahler cone metrics on isolated Gorenstein singularities or, equivalently, to the existence of Sasaki-Einstein metrics on the links of these singularities. In particular, this also leads to new obstructions for Kahler-Einstein metrics on Fano orbifolds. We present several families of hypersurface singularities that are obstructed, including 3-fold and 4-fold singularities of ADE type that have been studied previously in the physics literature. We show that the AdS/CFT dual of one obstruction is that the R-charge of a gauge invariant chiral primary operator violates the unitarity bound. |
1912.01896 | Nick R.D. Zhu | Omar Foda and Rui-Dong Zhu | Closed form fermionic expressions for the Macdonald index | 30 pages, 15 figures; Definitions and references added in v3 (eulogy
added in v4 for Prof. Omar Foda, who passed away on 4 May 2020) | JHEP06(2020)157 | 10.1007/JHEP06(2020)157 | DIAS-STP-19-08 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We interpret aspects of the Schur indices, that were identified with
characters of highest weight modules in Virasoro $(p,p')=(2,2k+3)$ minimal
models for $k=1,2,\dots$, in terms of paths that first appeared in exact
solutions in statistical mechanics. From that, we propose closed-form fermionic
sum expressions, that is, $q, t$-series with manifestly non-negative
coefficients, for two infinite-series of Macdonald indices of $(A_1,A_{2k})$
Argyres-Douglas theories that correspond to $t$-refinements of Virasoro
$(p,p')=(2,2k+3)$ minimal model characters, and two rank-2 Macdonald indices
that correspond to $t$-refinements of $\mathcal{W}_3$ non-unitary minimal model
characters. Our proposals match with computations from 4D $\mathcal{N} = 2$
gauge theories \textit{via} the TQFT picture, based on the work of J Song
arXiv:1509.06730.
| [
{
"created": "Wed, 4 Dec 2019 11:12:37 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Dec 2019 09:51:47 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Mar 2020 17:16:58 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Jun 2020 15:52:56 GMT",
"version": "v4"
}
] | 2020-06-30 | [
[
"Foda",
"Omar",
""
],
[
"Zhu",
"Rui-Dong",
""
]
] | We interpret aspects of the Schur indices, that were identified with characters of highest weight modules in Virasoro $(p,p')=(2,2k+3)$ minimal models for $k=1,2,\dots$, in terms of paths that first appeared in exact solutions in statistical mechanics. From that, we propose closed-form fermionic sum expressions, that is, $q, t$-series with manifestly non-negative coefficients, for two infinite-series of Macdonald indices of $(A_1,A_{2k})$ Argyres-Douglas theories that correspond to $t$-refinements of Virasoro $(p,p')=(2,2k+3)$ minimal model characters, and two rank-2 Macdonald indices that correspond to $t$-refinements of $\mathcal{W}_3$ non-unitary minimal model characters. Our proposals match with computations from 4D $\mathcal{N} = 2$ gauge theories \textit{via} the TQFT picture, based on the work of J Song arXiv:1509.06730. |
hep-th/0005031 | Emil J. Martinec | Jeffrey A. Harvey, Per Kraus, Finn Larsen and Emil J. Martinec | D-branes and Strings as Non-commutative Solitons | 31 pages, 2 figures, harvmac; v2: crucial sign error in vortex
solution corrected, additional comments on electric flux tube, references
added | JHEP 0007 (2000) 042 | 10.1088/1126-6708/2000/07/042 | EFI-2000-15 | hep-th | null | The non-commutative geometry of a large auxiliary $B$-field simplifies the
construction of D-branes as solitons in open string field theory. Similarly,
fundamental strings are constructed as localized flux tubes in the string field
theory. Tensions are determined exactly using general properties of non-BPS
branes, and the non-Abelian structure of gauge fields on coincident D-branes is
recovered.
| [
{
"created": "Wed, 3 May 2000 16:45:59 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jun 2000 02:24:13 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Harvey",
"Jeffrey A.",
""
],
[
"Kraus",
"Per",
""
],
[
"Larsen",
"Finn",
""
],
[
"Martinec",
"Emil J.",
""
]
] | The non-commutative geometry of a large auxiliary $B$-field simplifies the construction of D-branes as solitons in open string field theory. Similarly, fundamental strings are constructed as localized flux tubes in the string field theory. Tensions are determined exactly using general properties of non-BPS branes, and the non-Abelian structure of gauge fields on coincident D-branes is recovered. |
hep-th/9309120 | null | M. Chaichian, R. Gonzales Felipe, C. Montonen | On the Class of Possible Nonlocal Anyon-Like Operators and Quantum
Groups | 10 pages (plain latex), HU-SEFT R 1993-9, to be published in Journal
of Physics A: Math. and General, Letters to the Editor | J.Phys.A26:L1117-L1124,1993 | 10.1088/0305-4470/26/21/003 | null | hep-th | null | We find a class of nonlocal operators constructed by attaching a disorder
operator to fermionic degrees of freedom, which can be used to generate
q-deformed algebras following the Schwinger approach. This class includes the
recently proposed anyonic operators defined on a lattice.
| [
{
"created": "Wed, 22 Sep 1993 10:41:12 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Chaichian",
"M.",
""
],
[
"Felipe",
"R. Gonzales",
""
],
[
"Montonen",
"C.",
""
]
] | We find a class of nonlocal operators constructed by attaching a disorder operator to fermionic degrees of freedom, which can be used to generate q-deformed algebras following the Schwinger approach. This class includes the recently proposed anyonic operators defined on a lattice. |
hep-th/9807211 | Fabian Gaioli | Fabian H. Gaioli and Edgardo T. Garcia Alvarez | Some remarks about intrinsic parity in Ryder's derivation of the Dirac
equation | 4 pages, Revtex | Am.J.Phys. 63 (1995) 177-178 | 10.1119/1.17979 | null | hep-th | null | This work is a comment on Ryder's derivation of the Dirac equation, with
emphasis on the physical contents of this equation: the notion of particles and
antiparticles according to the Stueckelberg-Feynman interpretation, the
opposite intrinsic parity between particles and antiparticles, and the spin.
| [
{
"created": "Tue, 28 Jul 1998 22:05:24 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Gaioli",
"Fabian H.",
""
],
[
"Alvarez",
"Edgardo T. Garcia",
""
]
] | This work is a comment on Ryder's derivation of the Dirac equation, with emphasis on the physical contents of this equation: the notion of particles and antiparticles according to the Stueckelberg-Feynman interpretation, the opposite intrinsic parity between particles and antiparticles, and the spin. |
hep-th/0211228 | Jurg Kappeli | Bernard de Wit and J\"urg K\"appeli | On a gauge invariant description of soliton dynamics | 8 pages, contribution to the proceedings of the 35th Ahrenshoop
Symposium, 2002 | Fortsch.Phys. 51 (2003) 690-696 | 10.1002/prop.200310084 | SPIN-02/38, ITP-UU-02/60 | hep-th | null | We present important elements of a gauge and diffeomorphism invariant
formulation of the moduli space approximation to soliton dynamics. We argue
that explicit velocity-dependent modifications are determined entirely from
gauge and diffeomorphism invariance. We illustrate the formalism for the case
of a Yang-Mills theory on a curved spacetime background.
| [
{
"created": "Sun, 24 Nov 2002 18:05:55 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"de Wit",
"Bernard",
""
],
[
"Käppeli",
"Jürg",
""
]
] | We present important elements of a gauge and diffeomorphism invariant formulation of the moduli space approximation to soliton dynamics. We argue that explicit velocity-dependent modifications are determined entirely from gauge and diffeomorphism invariance. We illustrate the formalism for the case of a Yang-Mills theory on a curved spacetime background. |
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