id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0407004 | Nejat Tevfik Yilmaz | Tekin Dereli, Nejat Tevfik Yilmaz | Dualisation of the Salam-Sezgin D=8 Supergravity | 15 pages | Nucl.Phys. B691 (2004) 223 | 10.1016/j.nuclphysb.2004.05.004 | null | hep-th | null | The first-order formulation of the Salam-Sezgin D=8 supergravity coupled to N
vector multiplets is discussed. The non-linear realization of the bosonic
sector of the D=8 matter coupled Salam-Sezgin supergravity is introduced by the
dualisation of the fields and by constructing the Lie superalgebra of the
symmetry group of the doubled field strength.
| [
{
"created": "Thu, 1 Jul 2004 14:05:27 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Dereli",
"Tekin",
""
],
[
"Yilmaz",
"Nejat Tevfik",
""
]
] | The first-order formulation of the Salam-Sezgin D=8 supergravity coupled to N vector multiplets is discussed. The non-linear realization of the bosonic sector of the D=8 matter coupled Salam-Sezgin supergravity is introduced by the dualisation of the fields and by constructing the Lie superalgebra of the symmetry group of the doubled field strength. |
0711.3622 | John Gracey | J.A. Gracey | Recent results for Yang-Mills theory restricted to the Gribov region | 6 latex pages | null | 10.1142/9789812837271_0024 | LTH 777 | hep-th | null | We summarize recent results for the Gribov-Zwanziger Lagrangian which
includes the effect of restricting the path integral to the first Gribov
region. These include the two loop MSbar and one loop MOM gap equations for the
Gribov mass.
| [
{
"created": "Thu, 22 Nov 2007 17:13:49 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Gracey",
"J. A.",
""
]
] | We summarize recent results for the Gribov-Zwanziger Lagrangian which includes the effect of restricting the path integral to the first Gribov region. These include the two loop MSbar and one loop MOM gap equations for the Gribov mass. |
1603.00088 | David Meidinger | Rouven Frassek, David Meidinger | Yangian-type symmetries of non-planar leading singularities | 6 pages, 3 figures | null | null | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We take up the study of integrable structures behind non-planar contributions
to scattering amplitudes in N=4 super Yang-Mills theory. Focusing on leading
singularities, we derive the action of the Yangian generators on color-ordered
subsets of the external states. Each subset corresponds to a single boundary of
the non-planar on-shell diagram. While Yangian invariance is broken, we find
that higher-level Yangian generators still annihilate the non-planar on-shell
diagram. For a given diagram, the number of these generators is governed by the
degree of non-planarity. Furthermore, we present additional identities
involving integrable transfer matrices. In particular, for diagrams on a
cylinder we obtain a conservation rule similar to the Yangian invariance
condition of planar on-shell diagrams. To exemplify our results, we consider a
five-point MHV on-shell function on a cylinder.
| [
{
"created": "Mon, 29 Feb 2016 23:13:18 GMT",
"version": "v1"
}
] | 2016-03-02 | [
[
"Frassek",
"Rouven",
""
],
[
"Meidinger",
"David",
""
]
] | We take up the study of integrable structures behind non-planar contributions to scattering amplitudes in N=4 super Yang-Mills theory. Focusing on leading singularities, we derive the action of the Yangian generators on color-ordered subsets of the external states. Each subset corresponds to a single boundary of the non-planar on-shell diagram. While Yangian invariance is broken, we find that higher-level Yangian generators still annihilate the non-planar on-shell diagram. For a given diagram, the number of these generators is governed by the degree of non-planarity. Furthermore, we present additional identities involving integrable transfer matrices. In particular, for diagrams on a cylinder we obtain a conservation rule similar to the Yangian invariance condition of planar on-shell diagrams. To exemplify our results, we consider a five-point MHV on-shell function on a cylinder. |
2405.10862 | Francesco Galvagno | M. Bill\`o, M. Frau, F. Galvagno and A. Lerda | A note on integrated correlators with a Wilson line in $\mathcal{N}=4$
SYM | 15 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the analysis of the integrated 2-point functions of local
operators with a $\frac{1}{2}$-BPS Wilson line in $\mathcal{N}=4$ SYM. After
including suitable parity-odd terms in the parametrization of the defect
correlators, we are able to solve the superconformal Ward identities in terms
of an unconstrained function of the cross-ratios. Exploiting this general
solution, we obtain a simple expression of the integration measure for the
integrated correlators with a Wilson line. We test our result by integrating
the available bootstrap expression of the unintegrated correlator at strong
coupling against the predictions of supersymmetric localization, finding
perfect agreement.
| [
{
"created": "Fri, 17 May 2024 15:48:32 GMT",
"version": "v1"
}
] | 2024-05-20 | [
[
"Billò",
"M.",
""
],
[
"Frau",
"M.",
""
],
[
"Galvagno",
"F.",
""
],
[
"Lerda",
"A.",
""
]
] | We revisit the analysis of the integrated 2-point functions of local operators with a $\frac{1}{2}$-BPS Wilson line in $\mathcal{N}=4$ SYM. After including suitable parity-odd terms in the parametrization of the defect correlators, we are able to solve the superconformal Ward identities in terms of an unconstrained function of the cross-ratios. Exploiting this general solution, we obtain a simple expression of the integration measure for the integrated correlators with a Wilson line. We test our result by integrating the available bootstrap expression of the unintegrated correlator at strong coupling against the predictions of supersymmetric localization, finding perfect agreement. |
2010.11144 | Sebasti\'an Alberto Franchino Vi\~nas | S. A. Franchino-Vi\~nas and F. D. Mazzitelli | Effective action for delta potentials: spacetime-dependent
inhomogeneities and Casimir self-energy | 25 pages, 4 figures. Added a discussion on the renormalization
process. Added some missing factors in formulas (72) and (73), App. A | Phys. Rev. D 103, 065006 (2021) | 10.1103/PhysRevD.103.065006 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the vacuum fluctuations of a quantum scalar field in the presence of
a thin and inhomogeneous flat mirror, modeled with a delta potential. Using
Heat-Kernel techniques, we evaluate the Euclidean effective action
perturbatively in the inhomogeneities (nonperturbatively in the constant
background). We show that the divergences can be absorbed into a local
counterterm, and that the remaining finite part is in general a nonlocal
functional of the inhomogeneities, which we compute explicitly for massless
fields in $D=4$ dimensions. For time-independent inhomogeneities, the effective
action gives the Casimir self-energy for a partially transmitting mirror. For
time-dependent inhomogeneities, the Wick-rotated effective action gives the
probability of particle creation due to the dynamical Casimir effect.
| [
{
"created": "Wed, 21 Oct 2020 16:59:33 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Mar 2021 14:11:36 GMT",
"version": "v2"
}
] | 2021-03-23 | [
[
"Franchino-Viñas",
"S. A.",
""
],
[
"Mazzitelli",
"F. D.",
""
]
] | We study the vacuum fluctuations of a quantum scalar field in the presence of a thin and inhomogeneous flat mirror, modeled with a delta potential. Using Heat-Kernel techniques, we evaluate the Euclidean effective action perturbatively in the inhomogeneities (nonperturbatively in the constant background). We show that the divergences can be absorbed into a local counterterm, and that the remaining finite part is in general a nonlocal functional of the inhomogeneities, which we compute explicitly for massless fields in $D=4$ dimensions. For time-independent inhomogeneities, the effective action gives the Casimir self-energy for a partially transmitting mirror. For time-dependent inhomogeneities, the Wick-rotated effective action gives the probability of particle creation due to the dynamical Casimir effect. |
hep-th/9510208 | Sean Carroll | Sean M. Carroll, Miguel E. Ortiz and Washington Taylor IV | Spin/disorder correlations and duality in the c=1/2 string | 19 pages, LaTeX; final publication version | Nucl.Phys.B468:420-438,1996 | 10.1016/0550-3213(96)00116-2 | MIT-CTP #2481, THU-95/29 | hep-th gr-qc | null | We use the method of discrete loop equations to calculate exact correlation
functions of spin and disorder operators on the sphere and on the boundary of a
disk in the $c = 1/2$ string, both in the Ising and dual Ising matrix model
formulations. For both the Ising and dual Ising theories the results on the
sphere are in agreement with the KPZ/DDK scaling predictions based on Liouville
theory; the results on the disk agree with the scaling predictions of Martinec,
Moore, and Seiberg for boundary operators. The calculation of Ising disorder
correlations on the sphere requires the use of boundary variables introduced in
[hep-th/9510199], which have no matrix model analog. A subtlety in the
calculation on the disk arises because the expansions of the correlation
functions have leading singular terms which are nonuniversal; we show that this
issue may be resolved by using separate cosmological constants for each
boundary domain. These results give evidence that the Kramers-Wannier duality
symmetry of the $c = 1/2$ conformal field theory survives coupling to quantum
gravity, implying a duality symmetry of the $c = 1/2$ string even in the
presence of boundary operators.
| [
{
"created": "Sun, 29 Oct 1995 00:02:09 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 1995 03:03:07 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Sep 1996 23:21:11 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Carroll",
"Sean M.",
""
],
[
"Ortiz",
"Miguel E.",
""
],
[
"Taylor",
"Washington",
"IV"
]
] | We use the method of discrete loop equations to calculate exact correlation functions of spin and disorder operators on the sphere and on the boundary of a disk in the $c = 1/2$ string, both in the Ising and dual Ising matrix model formulations. For both the Ising and dual Ising theories the results on the sphere are in agreement with the KPZ/DDK scaling predictions based on Liouville theory; the results on the disk agree with the scaling predictions of Martinec, Moore, and Seiberg for boundary operators. The calculation of Ising disorder correlations on the sphere requires the use of boundary variables introduced in [hep-th/9510199], which have no matrix model analog. A subtlety in the calculation on the disk arises because the expansions of the correlation functions have leading singular terms which are nonuniversal; we show that this issue may be resolved by using separate cosmological constants for each boundary domain. These results give evidence that the Kramers-Wannier duality symmetry of the $c = 1/2$ conformal field theory survives coupling to quantum gravity, implying a duality symmetry of the $c = 1/2$ string even in the presence of boundary operators. |
1802.09873 | Tajron Juri\'c dr. sc. | Tajron Juri\'c | Quantum space and quantum completeness | 13 pages, minor revision, published in JHEP | JHEP 1805 (2018) 007 | 10.1007/JHEP05(2018)007 | null | hep-th gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the question whether quantum gravity can "smear out" the
classical singularity we analyze a certain quantum space and its
quantum-mechanical completeness. Classical singularity is understood as a
geodesic incompleteness, while quantum completeness requires a unique unitary
time evolution for test fields propagating on an underlying background. Here
the crucial point is that quantum completeness renders the Hamiltonian (or
spatial part of the wave operator) to be essentially self-adjoint in order to
generate a unique time evolution. We examine a model of quantum space which
consists of a noncommutative BTZ black hole probed by a test scalar field. We
show that the quantum gravity (noncommutative) effect is to enlarge the domain
of BTZ parameters for which the relevant wave operator is essentially
self-adjoint. This means that the corresponding quantum space is quantum
complete for a larger range of BTZ parameters rendering the conclusion that in
the quantum space one observes the effect of "smearing out" the singularity.
| [
{
"created": "Tue, 27 Feb 2018 13:34:25 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Apr 2018 13:40:39 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jul 2018 09:56:53 GMT",
"version": "v3"
},
{
"created": "Fri, 7 Sep 2018 07:25:03 GMT",
"version": "v4"
}
] | 2018-09-10 | [
[
"Jurić",
"Tajron",
""
]
] | Motivated by the question whether quantum gravity can "smear out" the classical singularity we analyze a certain quantum space and its quantum-mechanical completeness. Classical singularity is understood as a geodesic incompleteness, while quantum completeness requires a unique unitary time evolution for test fields propagating on an underlying background. Here the crucial point is that quantum completeness renders the Hamiltonian (or spatial part of the wave operator) to be essentially self-adjoint in order to generate a unique time evolution. We examine a model of quantum space which consists of a noncommutative BTZ black hole probed by a test scalar field. We show that the quantum gravity (noncommutative) effect is to enlarge the domain of BTZ parameters for which the relevant wave operator is essentially self-adjoint. This means that the corresponding quantum space is quantum complete for a larger range of BTZ parameters rendering the conclusion that in the quantum space one observes the effect of "smearing out" the singularity. |
1408.1388 | Veselin Filev | Veselin G. Filev and Denjoe O'Connor | Commuting Quantum Matrix Models | 17 pages | null | 10.1007/JHEP03(2015)024 | DIAS-STP-14-09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a quantum system of $p$ commuting matrices and find that such a
quantum system requires an explicit curvature dependent potential in its
Lagrangian for the system to have a finite energy ground state. In contrast it
is possible to avoid such curvature dependence in the Hamiltonian. We study the
eigenvalue distribution for such systems in the large matrix size limit. A
critical r\^ole is played by $p=4$. For $p\ge4$ the competition between
eigenvalue repulsion and the attractive potential forces the eigenvalues to
form a sharp spherical shell.
| [
{
"created": "Wed, 6 Aug 2014 19:56:23 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Filev",
"Veselin G.",
""
],
[
"O'Connor",
"Denjoe",
""
]
] | We study a quantum system of $p$ commuting matrices and find that such a quantum system requires an explicit curvature dependent potential in its Lagrangian for the system to have a finite energy ground state. In contrast it is possible to avoid such curvature dependence in the Hamiltonian. We study the eigenvalue distribution for such systems in the large matrix size limit. A critical r\^ole is played by $p=4$. For $p\ge4$ the competition between eigenvalue repulsion and the attractive potential forces the eigenvalues to form a sharp spherical shell. |
2211.11672 | Flavio Riccardi | Mehrdad Mirbabayi and Flavio Riccardi | Probing de Sitter from the horizon | 24 pages, 3 figures | null | 10.1007/JHEP04(2023)053 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a QFT on de Sitter background, one can study correlators between fields
pushed to the future and past horizons of a comoving observer. This is a neat
probe of the physics in the observer's causal diamond (known as the static
patch). We use this observable to give a generalization of the quasinormal
spectrum in interacting theories, and to connect it to the spectral density
that appears in the K\"all\'en-Lehmann expansion of dS correlators. We also
introduce a finite-temperature effective field theory consisting of free bulk
fields coupled to a boundary. In matching it to the low frequency expansion of
correlators, we find positivity constraints on the EFT parameters following
from unitarity.
| [
{
"created": "Mon, 21 Nov 2022 17:40:33 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jun 2023 11:46:28 GMT",
"version": "v2"
}
] | 2023-06-22 | [
[
"Mirbabayi",
"Mehrdad",
""
],
[
"Riccardi",
"Flavio",
""
]
] | In a QFT on de Sitter background, one can study correlators between fields pushed to the future and past horizons of a comoving observer. This is a neat probe of the physics in the observer's causal diamond (known as the static patch). We use this observable to give a generalization of the quasinormal spectrum in interacting theories, and to connect it to the spectral density that appears in the K\"all\'en-Lehmann expansion of dS correlators. We also introduce a finite-temperature effective field theory consisting of free bulk fields coupled to a boundary. In matching it to the low frequency expansion of correlators, we find positivity constraints on the EFT parameters following from unitarity. |
1306.6245 | Wolfgang Mueck | Wolfgang M\"uck | On the number of soft quanta in classical field configurations | 5 pages, v.2: small text changes and added references | Canadian Journal of Physics, 2014, 92(9): 973-975 | 10.1139/cjp-2013-0712 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A crucial ingredient in the large-N quantum portrait of black holes proposed
by Dvali and Gomez is the estimate of the number of soft quanta that make up
the classical gravitational field. It is argued here that the coherent state
formalism provides a way to calculate that number directly. As a consequence,
the average energy of the soft quanta is such that the typical geometric size
of the field source can be roughly interpreted as their de Broglie wavelength.
The calculation is done for the electromagnetic field and for Newtonian
gravity, and it is argued that the number of soft quanta should be unchanged in
General Relativity due to the long range nature of gravity.
| [
{
"created": "Wed, 26 Jun 2013 13:59:39 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Aug 2013 14:47:33 GMT",
"version": "v2"
}
] | 2014-09-05 | [
[
"Mück",
"Wolfgang",
""
]
] | A crucial ingredient in the large-N quantum portrait of black holes proposed by Dvali and Gomez is the estimate of the number of soft quanta that make up the classical gravitational field. It is argued here that the coherent state formalism provides a way to calculate that number directly. As a consequence, the average energy of the soft quanta is such that the typical geometric size of the field source can be roughly interpreted as their de Broglie wavelength. The calculation is done for the electromagnetic field and for Newtonian gravity, and it is argued that the number of soft quanta should be unchanged in General Relativity due to the long range nature of gravity. |
hep-th/0102130 | Juan Jose Manjarin | Juan Jose Manjarin | Dilatonic Wilson Loops | 20 pages, 2 figures. Final version to appear in JHEP | JHEP 0103 (2001) 051 | 10.1088/1126-6708/2001/03/051 | IFT-UAM/CSIC-01-06 | hep-th | null | In this letter we study the dilatonic corrections to the static gauge
potential between heavy sources. These corrections come from the solutions to
the the lowest order beta equations. In the energetically favoured branch, the
potential obtained is characterised by having a linear confining term, an $L$
independent term and another 1/L piece. This is indicative of a L\"uscher-type
behaviour in the strong-coupling regime of the dual gauge theory. On the other
hand, we also explore the singularity as a point where the theory becomes free.
| [
{
"created": "Tue, 20 Feb 2001 15:35:11 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Mar 2001 14:15:51 GMT",
"version": "v2"
}
] | 2015-06-25 | [
[
"Manjarin",
"Juan Jose",
""
]
] | In this letter we study the dilatonic corrections to the static gauge potential between heavy sources. These corrections come from the solutions to the the lowest order beta equations. In the energetically favoured branch, the potential obtained is characterised by having a linear confining term, an $L$ independent term and another 1/L piece. This is indicative of a L\"uscher-type behaviour in the strong-coupling regime of the dual gauge theory. On the other hand, we also explore the singularity as a point where the theory becomes free. |
hep-th/9710223 | Chong-Sun Chu | C.S. Chu and E. Sezgin | M-Fivebrane from the Open Supermembrane | 11 pages, Latex, references and appendix added | JHEP 9712 (1997) 001 | 10.1088/1126-6708/1997/12/001 | SISSA 128/97/FM, CTP TAMU-39/97 | hep-th | null | Covariant field equations of M-fivebrane in eleven dimensional curved
superspace are obtained from the requirement of kappa-symmetry of an open
supermembrane ending on a fivebrane. The worldvolume of the latter is a (6|16)
dimensional supermanifold embedded in the (11|32) dimensional target
superspace. The kappa-symmetry of the system imposes a constraint on this
embedding, and a constraint on a modified super 3-form field strength on the
fivebrane worldvolume. These constraints govern the dynamics of the
M-fivebrane.
| [
{
"created": "Wed, 29 Oct 1997 14:25:11 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Nov 1997 19:41:48 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Chu",
"C. S.",
""
],
[
"Sezgin",
"E.",
""
]
] | Covariant field equations of M-fivebrane in eleven dimensional curved superspace are obtained from the requirement of kappa-symmetry of an open supermembrane ending on a fivebrane. The worldvolume of the latter is a (6|16) dimensional supermanifold embedded in the (11|32) dimensional target superspace. The kappa-symmetry of the system imposes a constraint on this embedding, and a constraint on a modified super 3-form field strength on the fivebrane worldvolume. These constraints govern the dynamics of the M-fivebrane. |
hep-th/0608180 | Laurence G. Yaffe | Mithat Unsal and Laurence G. Yaffe | (In)validity of large N orientifold equivalence | 23 pages, added discussion of P, T symmetry realization | Phys.Rev.D74:105019,2006 | 10.1103/PhysRevD.74.105019 | null | hep-th | null | It has been argued that the bosonic sectors of supersymmetric SU(N)
Yang-Mills theory, and of QCD with a single fermion in the antisymmetric (or
symmetric) tensor representation, are equivalent in the $N\to\infty$ limit. If
true, this correspondence can provide useful insight into properties of real
QCD (with fundamental representation fermions), such as predictions [with
O(1/N) corrections] for the non-perturbative vacuum energy, the chiral
condensate, and a variety of other observables. Several papers asserting to
have proven this large N ``orientifold equivalence'' have appeared. By
considering theories compactified on $R^3 \times S^1$, we show explicitly that
this large N equivalence fails for sufficiently small radius, where our
analysis is reliable, due to spontaneous symmetry breaking of charge
conjugation symmetry in QCD with an antisymmetric (or symmetric) tensor
representation fermion. This theory is also chirally symmetric for small
radius, unlike super-Yang-Mills. The situation is completely analogous to
large-N equivalences based on orbifold projections: simple symmetry realization
conditions are both necessary and sufficient for the validity of the large N
equivalence. Whether these symmetry realization conditions are satisfied
depends on the specific non-perturbative dynamics of the theory under
consideration. Unbroken charge conjugation symmetry is necessary for validity
of the large N orientifold equivalence. Whether or not this condition is
satisfied on $R^4$ (or $ R^3 \times S^1$ for sufficiently large radius) is not
currently known.
| [
{
"created": "Fri, 25 Aug 2006 05:42:08 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Aug 2006 23:17:11 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Oct 2006 06:42:25 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Unsal",
"Mithat",
""
],
[
"Yaffe",
"Laurence G.",
""
]
] | It has been argued that the bosonic sectors of supersymmetric SU(N) Yang-Mills theory, and of QCD with a single fermion in the antisymmetric (or symmetric) tensor representation, are equivalent in the $N\to\infty$ limit. If true, this correspondence can provide useful insight into properties of real QCD (with fundamental representation fermions), such as predictions [with O(1/N) corrections] for the non-perturbative vacuum energy, the chiral condensate, and a variety of other observables. Several papers asserting to have proven this large N ``orientifold equivalence'' have appeared. By considering theories compactified on $R^3 \times S^1$, we show explicitly that this large N equivalence fails for sufficiently small radius, where our analysis is reliable, due to spontaneous symmetry breaking of charge conjugation symmetry in QCD with an antisymmetric (or symmetric) tensor representation fermion. This theory is also chirally symmetric for small radius, unlike super-Yang-Mills. The situation is completely analogous to large-N equivalences based on orbifold projections: simple symmetry realization conditions are both necessary and sufficient for the validity of the large N equivalence. Whether these symmetry realization conditions are satisfied depends on the specific non-perturbative dynamics of the theory under consideration. Unbroken charge conjugation symmetry is necessary for validity of the large N orientifold equivalence. Whether or not this condition is satisfied on $R^4$ (or $ R^3 \times S^1$ for sufficiently large radius) is not currently known. |
1608.01613 | Rohit Kumar | Saurabh Gupta and R. Kumar | On augmented superfield approach to vector Schwinger model | LaTeX file, 14 pages, no figures, version to appear in IJMPA | Int. J. Mod Phys. A 31: 1650173 [p01-p14], 2016 | 10.1142/S0217751X16501736 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We exploit the techniques of Bonora-Tonin superfield formalism to derive the
off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as
(anti-)co-BRST symmetry transformations for the (1+1)-dimensional (2D)
bosonized vector Schwinger model. In the derivation of above symmetries, we
invoke the (dual)-horizontality conditions as well as gauge and (anti-)co-BRST
invariant restrictions on the superfields that are defined onto the (2,
2)-dimensional supermanifold. We provide geometrical interpretation of the
above nilpotent symmetries (and their corresponding charges). We also express
the nilpotency and absolute anticommutativity of the (anti-)BRST and
(anti-)co-BRST charges within the framework of augmented superfield formalism.
| [
{
"created": "Thu, 4 Aug 2016 17:12:35 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2016 17:37:36 GMT",
"version": "v2"
}
] | 2016-11-16 | [
[
"Gupta",
"Saurabh",
""
],
[
"Kumar",
"R.",
""
]
] | We exploit the techniques of Bonora-Tonin superfield formalism to derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations for the (1+1)-dimensional (2D) bosonized vector Schwinger model. In the derivation of above symmetries, we invoke the (dual)-horizontality conditions as well as gauge and (anti-)co-BRST invariant restrictions on the superfields that are defined onto the (2, 2)-dimensional supermanifold. We provide geometrical interpretation of the above nilpotent symmetries (and their corresponding charges). We also express the nilpotency and absolute anticommutativity of the (anti-)BRST and (anti-)co-BRST charges within the framework of augmented superfield formalism. |
hep-th/0601230 | Josef Karthauser | Josef L.P. Karthauser (1) and P.M. Saffin (1 and 2) ((1) University of
Sussex, (2) University of Nottingham) | The dynamics of coset dimensional reduction | 27 pages, 4 figures; added citations | Phys.Rev.D73:084027,2006 | 10.1103/PhysRevD.73.084027 | null | hep-th astro-ph gr-qc | null | The evolution of multiple scalar fields in cosmology has been much studied,
particularly when the potential is formed from a series of exponentials. For a
certain subclass of such systems it is possible to get `assisted` behaviour,
where the presence of multiple terms in the potential effectively makes it
shallower than the individual terms indicate. It is also known that when
compactifying on coset spaces one can achieve a consistent truncation to an
effective theory which contains many exponential terms, however, if there are
too many exponentials then exact scaling solutions do not exist. In this paper
we study the potentials arising from such compactifications of eleven
dimensional supergravity and analyse the regions of parameter space which could
lead to scaling behaviour.
| [
{
"created": "Tue, 31 Jan 2006 11:17:31 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2006 12:46:57 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Karthauser",
"Josef L. P.",
"",
"1 and 2"
],
[
"Saffin",
"P. M.",
"",
"1 and 2"
]
] | The evolution of multiple scalar fields in cosmology has been much studied, particularly when the potential is formed from a series of exponentials. For a certain subclass of such systems it is possible to get `assisted` behaviour, where the presence of multiple terms in the potential effectively makes it shallower than the individual terms indicate. It is also known that when compactifying on coset spaces one can achieve a consistent truncation to an effective theory which contains many exponential terms, however, if there are too many exponentials then exact scaling solutions do not exist. In this paper we study the potentials arising from such compactifications of eleven dimensional supergravity and analyse the regions of parameter space which could lead to scaling behaviour. |
hep-th/9612198 | null | Lubos Motl | Quaternions and M(atrix) theory in spaces with boundaries | plain LaTeX, 15 pages, 1st revision: references, school info and
notes added (real matrix case, Mobius membranes and so on...) 2nd revision:
notes on originators of ideas | null | null | HEP-UK-0002 | hep-th | null | A proposal for the matrix model formulation of the M-theory on a space with a
boundary is given. A general machinery for modding out a symmetry in M(atrix)
theory is used for a Z_2 symmetry changing the sign of the X_1 coordinate. The
construction causes the elements of matrices to be equivalent to real numbers
or quaternions and the symmetry U(2N) of the original model is reduced to O(2N)
or USp(2N)=U(N,H). We also show that membranes end on the boundary of the
spacetime correctly in this construction.
| [
{
"created": "Wed, 18 Dec 1996 22:19:42 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Jan 1997 20:36:09 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Jan 1997 15:47:27 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Motl",
"Lubos",
""
]
] | A proposal for the matrix model formulation of the M-theory on a space with a boundary is given. A general machinery for modding out a symmetry in M(atrix) theory is used for a Z_2 symmetry changing the sign of the X_1 coordinate. The construction causes the elements of matrices to be equivalent to real numbers or quaternions and the symmetry U(2N) of the original model is reduced to O(2N) or USp(2N)=U(N,H). We also show that membranes end on the boundary of the spacetime correctly in this construction. |
hep-th/9201067 | Gustav Delius | G. W. Delius, M.T. Grisaru and D. Zanon | Exact S-Matrices for Nonsimply-Laced Affine Toda Theories | 38 pages | Nucl.Phys. B382 (1992) 365-408 | 10.1016/0550-3213(92)90190-M | null | hep-th | null | We derive exact, factorized, purely elastic scattering matrices for affine
Toda theories based on the nonsimply-laced Lie algebras and superalgebras.
| [
{
"created": "Wed, 29 Jan 1992 12:33:51 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Delius",
"G. W.",
""
],
[
"Grisaru",
"M. T.",
""
],
[
"Zanon",
"D.",
""
]
] | We derive exact, factorized, purely elastic scattering matrices for affine Toda theories based on the nonsimply-laced Lie algebras and superalgebras. |
hep-th/0209064 | S. Stieberger | S. Stieberger and T.R. Taylor | Non-Abelian Born-Infeld Action and Type I - Heterotic Duality (II):
Nonrenormalization Theorems | 35 pages, harvmac; cosmetic changes; final version to appear in NPB | Nucl.Phys. B648 (2003) 3-34 | 10.1016/S0550-3213(02)00979-3 | null | hep-th | null | Type I - heterotic duality in D=10 predicts various relations and constraints
on higher order F^n couplings at different string loop levels on both sides. We
prove the vanishing of two-loop corrections to the heterotic F^4 terms, which
is one of the basic predictions from this duality. Furthermore, we show that
the heterotic F^5 and (CP even) F^6 couplings are not renormalized at one loop.
These results strengthen the conjecture that in D=10 any Tr F^(2n) coupling
appears only at the disc tree-level on type I side and at (n-1)-loop level on
the heterotic side. Our non-renormalization theorems are valid in any heterotic
string vacuum with sixteen supercharges.
| [
{
"created": "Mon, 9 Sep 2002 11:00:52 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Oct 2002 16:49:41 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Nov 2002 17:33:44 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Stieberger",
"S.",
""
],
[
"Taylor",
"T. R.",
""
]
] | Type I - heterotic duality in D=10 predicts various relations and constraints on higher order F^n couplings at different string loop levels on both sides. We prove the vanishing of two-loop corrections to the heterotic F^4 terms, which is one of the basic predictions from this duality. Furthermore, we show that the heterotic F^5 and (CP even) F^6 couplings are not renormalized at one loop. These results strengthen the conjecture that in D=10 any Tr F^(2n) coupling appears only at the disc tree-level on type I side and at (n-1)-loop level on the heterotic side. Our non-renormalization theorems are valid in any heterotic string vacuum with sixteen supercharges. |
2205.07436 | Toshiaki Fujimori | Toshiaki Fujimori, Syo Kamata, Tatsuhiro Misumi, Muneto Nitta,
Norisuke Sakai | All-order Resurgence from Complexified Path Integral in a Quantum
Mechanical System with Integrability | 36 pages, 7 figures | null | 10.1103/PhysRevD.107.105011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss all-order transseries in one of the simplest quantum mechanical
systems: a U(1) symmetric single-degree-of-freedom system with a first-order
time derivative term. Following the procedure of the Lefschetz thimble method,
we explicitly evaluate the path integral for the generating function of the
Noether charge and derive its exact transseries expression. Using the
conservation law, we find all the complex saddle points of the action, which
are responsible for the non-perturbative effects and the resurgence structure
of the model. The all-order power-series contributions around each saddle point
are generated from the one-loop determinant with the help of the differential
equations obeyed by the generating function. The transseries are constructed by
summing up the contributions from all the relevant saddle points, which we
identify by determining the intersection numbers between the dual thimbles and
the original path integration contour. We confirm that the Borel ambiguities of
the perturbation series are canceled by the non-perturbative ambiguities
originating from the discontinuous jumps of the intersection numbers. The
transseries computed in the path-integral formalism agrees with the exact
generating function, whose explicit form can be obtained in the operator
formalism thanks to the integrable nature of the model. This agreement
indicates the non-perturbative completeness of the transseries obtained by the
semi-classical expansion of the path integral based on the Lefschetz thimble
method.
| [
{
"created": "Mon, 16 May 2022 02:55:26 GMT",
"version": "v1"
}
] | 2023-05-31 | [
[
"Fujimori",
"Toshiaki",
""
],
[
"Kamata",
"Syo",
""
],
[
"Misumi",
"Tatsuhiro",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Sakai",
"Norisuke",
""
]
] | We discuss all-order transseries in one of the simplest quantum mechanical systems: a U(1) symmetric single-degree-of-freedom system with a first-order time derivative term. Following the procedure of the Lefschetz thimble method, we explicitly evaluate the path integral for the generating function of the Noether charge and derive its exact transseries expression. Using the conservation law, we find all the complex saddle points of the action, which are responsible for the non-perturbative effects and the resurgence structure of the model. The all-order power-series contributions around each saddle point are generated from the one-loop determinant with the help of the differential equations obeyed by the generating function. The transseries are constructed by summing up the contributions from all the relevant saddle points, which we identify by determining the intersection numbers between the dual thimbles and the original path integration contour. We confirm that the Borel ambiguities of the perturbation series are canceled by the non-perturbative ambiguities originating from the discontinuous jumps of the intersection numbers. The transseries computed in the path-integral formalism agrees with the exact generating function, whose explicit form can be obtained in the operator formalism thanks to the integrable nature of the model. This agreement indicates the non-perturbative completeness of the transseries obtained by the semi-classical expansion of the path integral based on the Lefschetz thimble method. |
1905.05722 | Cyril Closset | Cyril Closset, Lorenzo Di Pietro and Heeyeon Kim | 't Hooft anomalies and the holomorphy of supersymmetric partition
functions | 62 pages plus appendix. v2: added references and comments | null | 10.1007/JHEP08(2019)035 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dependence of supersymmetric partition functions on continuous
parameters for the flavor symmetry group, $G_F$, for 2d $\mathcal{N} = (0,2)$
and 4d $\mathcal{N}=1$ supersymmetric quantum field theories. In any
diffeomorphism-invariant scheme and in the presence of $G_F$ 't Hooft
anomalies, the supersymmetric Ward identities imply that the partition function
has a non-holomorphic dependence on the flavor parameters. We show this
explicitly for the 2d torus partition function, $Z_{T^2}$, and for a large
class of 4d partition functions on half-BPS four-manifolds,
$Z_{\mathcal{M}_4}$---in particular, for $\mathcal{M}_4=S^3 \times S^1$ and
$\mathcal{M}_4=\Sigma_g \times T^2$. We propose a new expression for
$Z_{\mathcal{M}_{d-1} \times S^1}$, which differs from earlier holomorphic
results by the introduction of a non-holomorphic `Casimir' pre-factor. The
latter is fixed by studying the `high temperature' limit of the partition
function. Our proposal agrees with the supersymmetric Ward identities, and with
explicit calculations of the absolute value of the partition function using a
gauge-invariant zeta-function regularization.
| [
{
"created": "Tue, 14 May 2019 17:07:26 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2019 10:37:15 GMT",
"version": "v2"
}
] | 2019-09-04 | [
[
"Closset",
"Cyril",
""
],
[
"Di Pietro",
"Lorenzo",
""
],
[
"Kim",
"Heeyeon",
""
]
] | We study the dependence of supersymmetric partition functions on continuous parameters for the flavor symmetry group, $G_F$, for 2d $\mathcal{N} = (0,2)$ and 4d $\mathcal{N}=1$ supersymmetric quantum field theories. In any diffeomorphism-invariant scheme and in the presence of $G_F$ 't Hooft anomalies, the supersymmetric Ward identities imply that the partition function has a non-holomorphic dependence on the flavor parameters. We show this explicitly for the 2d torus partition function, $Z_{T^2}$, and for a large class of 4d partition functions on half-BPS four-manifolds, $Z_{\mathcal{M}_4}$---in particular, for $\mathcal{M}_4=S^3 \times S^1$ and $\mathcal{M}_4=\Sigma_g \times T^2$. We propose a new expression for $Z_{\mathcal{M}_{d-1} \times S^1}$, which differs from earlier holomorphic results by the introduction of a non-holomorphic `Casimir' pre-factor. The latter is fixed by studying the `high temperature' limit of the partition function. Our proposal agrees with the supersymmetric Ward identities, and with explicit calculations of the absolute value of the partition function using a gauge-invariant zeta-function regularization. |
2003.12080 | Christoph Uhlemann | Michael Gutperle, Christoph F. Uhlemann | Janus on the Brane | 21 pages, 1 figure, 2 faces; v2: published version | null | 10.1007/JHEP07(2020)243 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a non-supersymmetric deformation of probe branes describing
conformal defects of codimension two in AdS/CFT. The worldvolume of the probe
branes is deformed from $AdS_{p}\times S^1$ embedded in an $AdS_{p+2} \times
\mathcal M^{D-p-2}$ background to an embedding of Janus form, which uses an
$AdS_{p-1}$ slicing of $AdS_p$ and in which the brane bends along the slicing
coordinate. In field theory terms this realizes conformal interfaces on
codimension-two defects. We discuss these "Janus on the brane" solutions for
$AdS_3\times S^1$ D3-branes in the $AdS_5\times S^5$ solution of Type IIB,
realizing interfaces on surface defects in $\mathcal N=4$ SYM, and show that
similar solutions exist for probe branes in $AdS_{p+2}\times S^{9-p}$ vacua of
M-theory and in the $AdS_6\times S^4$ solution of massive Type IIA.
| [
{
"created": "Thu, 26 Mar 2020 18:00:23 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2020 21:56:04 GMT",
"version": "v2"
}
] | 2020-09-17 | [
[
"Gutperle",
"Michael",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] | We present a non-supersymmetric deformation of probe branes describing conformal defects of codimension two in AdS/CFT. The worldvolume of the probe branes is deformed from $AdS_{p}\times S^1$ embedded in an $AdS_{p+2} \times \mathcal M^{D-p-2}$ background to an embedding of Janus form, which uses an $AdS_{p-1}$ slicing of $AdS_p$ and in which the brane bends along the slicing coordinate. In field theory terms this realizes conformal interfaces on codimension-two defects. We discuss these "Janus on the brane" solutions for $AdS_3\times S^1$ D3-branes in the $AdS_5\times S^5$ solution of Type IIB, realizing interfaces on surface defects in $\mathcal N=4$ SYM, and show that similar solutions exist for probe branes in $AdS_{p+2}\times S^{9-p}$ vacua of M-theory and in the $AdS_6\times S^4$ solution of massive Type IIA. |
1908.11663 | Athanasios Chatzistavrakidis | Athanasios Chatzistavrakidis, Georgios Karagiannis, Peter Schupp | A unified approach to standard and exotic dualizations through graded
geometry | 47 pages; version 3: Minor update in the references list. Commun.
Math. Phys. (2020) | null | 10.1007/s00220-020-03728-x | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge theories can often be formulated in different but physically equivalent
ways, a concept referred to as duality. Using a formalism based on graded
geometry, we provide a unified treatment of all parent theories for different
types of standard and exotic dualizations. Our approach is based on treating
tensor fields as functions of a certain degree on graded supermanifolds
equipped with a suitable number of odd coordinates. We present a universal
two-parameter first order action for standard and exotic electric/magnetic
dualizations and prove in full generality that it yields two dual second order
theories with the desired field content and dynamics. Upon choice of
parameters, the parent theory reproduces (i) the standard and exotic duals for
p-forms and (ii) the standard and double duals for (p,1) bipartite tensor
fields, such as the linearized graviton and the Curtright field. Moreover, we
discuss how deformations related to codimension-1 branes are included in the
parent theory.
| [
{
"created": "Fri, 30 Aug 2019 11:40:02 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 2020 13:28:40 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Dec 2020 13:02:51 GMT",
"version": "v3"
}
] | 2020-12-02 | [
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Karagiannis",
"Georgios",
""
],
[
"Schupp",
"Peter",
""
]
] | Gauge theories can often be formulated in different but physically equivalent ways, a concept referred to as duality. Using a formalism based on graded geometry, we provide a unified treatment of all parent theories for different types of standard and exotic dualizations. Our approach is based on treating tensor fields as functions of a certain degree on graded supermanifolds equipped with a suitable number of odd coordinates. We present a universal two-parameter first order action for standard and exotic electric/magnetic dualizations and prove in full generality that it yields two dual second order theories with the desired field content and dynamics. Upon choice of parameters, the parent theory reproduces (i) the standard and exotic duals for p-forms and (ii) the standard and double duals for (p,1) bipartite tensor fields, such as the linearized graviton and the Curtright field. Moreover, we discuss how deformations related to codimension-1 branes are included in the parent theory. |
hep-th/0203197 | Eduardo Jes\'us S\'anchez Villase\~nor | Eduardo J.S. Villase\~nor | Higher Derivative Fermionic Field Theories | 12 pages, ReVTeX; minor typos corrected; references updated; to
appear in J. Phys. A | J.Phys.A35:6169-6182,2002 | 10.1088/0305-4470/35/29/316 | null | hep-th | null | We carry out the extension of the covariant Ostrogradski method to fermionic
field theories. Higher-derivative Lagrangians reduce to second order
differential ones with one explicit independent field for each degree of
freedom.
| [
{
"created": "Thu, 21 Mar 2002 10:59:38 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jun 2002 07:13:31 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Villaseñor",
"Eduardo J. S.",
""
]
] | We carry out the extension of the covariant Ostrogradski method to fermionic field theories. Higher-derivative Lagrangians reduce to second order differential ones with one explicit independent field for each degree of freedom. |
hep-th/0312261 | Yuri Shtanov | Yuri Shtanov and Alexander Viznyuk | Linearized gravity on the Randall-Sundrum two-brane background with
curvature terms in the action for the branes | 23 pages, revtex, published version | Class.Quant.Grav. 22 (2005) 987-1006 | 10.1088/0264-9381/22/6/007 | null | hep-th gr-qc hep-ph | null | We study gravitational perturbations in the Randall-Sundrum two-brane
background with scalar-curvature terms in the action for the branes, allowing
for positive as well as negative bulk gravitational constant. In the zero-mode
approximation, we derive the linearized gravitational equations, which have the
same form as in the original Randall-Sundrum model but with different
expressions for the effective physical constants. We develop a generic method
for finding tachyonic modes in the theory, which, in the model under
consideration, may exist only if the bulk gravitational constant is negative.
In this case, if both brane gravitational constants are nonzero, the theory
contains one or two tachyonic mass eigenvalues in the gravitational sector. If
one of the brane gravitational constants is set to zero, then either a single
tachyonic mass eigenvalue is present or tachyonic modes are totally absent
depending on the relation between the nonzero brane gravitational constant and
brane separation. In the case of negative bulk gravitational constant, the
massive gravitational modes have ghost-like character, while the massless
gravitational mode is not a ghost in the case where tachyons are absent.
| [
{
"created": "Mon, 22 Dec 2003 09:33:19 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Apr 2004 11:23:11 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jan 2005 17:15:37 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Shtanov",
"Yuri",
""
],
[
"Viznyuk",
"Alexander",
""
]
] | We study gravitational perturbations in the Randall-Sundrum two-brane background with scalar-curvature terms in the action for the branes, allowing for positive as well as negative bulk gravitational constant. In the zero-mode approximation, we derive the linearized gravitational equations, which have the same form as in the original Randall-Sundrum model but with different expressions for the effective physical constants. We develop a generic method for finding tachyonic modes in the theory, which, in the model under consideration, may exist only if the bulk gravitational constant is negative. In this case, if both brane gravitational constants are nonzero, the theory contains one or two tachyonic mass eigenvalues in the gravitational sector. If one of the brane gravitational constants is set to zero, then either a single tachyonic mass eigenvalue is present or tachyonic modes are totally absent depending on the relation between the nonzero brane gravitational constant and brane separation. In the case of negative bulk gravitational constant, the massive gravitational modes have ghost-like character, while the massless gravitational mode is not a ghost in the case where tachyons are absent. |
0804.2017 | Aref'eva Irina | Irina Ya. Aref'eva, Roman V. Gorbachev and Peter B. Medvedev | Tachyon Solution in Cubic Neveu-Schwarz String Field Theory | 17 pages, minor corrections(missing 1/2 is restored) | Theor.Math.Phys.158:320-332,2009 | 10.1007/s11232-009-0026-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A class of exact analytic solutions in the modified cubic fermionic string
field theory with the GSO(-) sector is presented. This class contains the
GSO(-) tachyon field and reproduces the correct value for the nonBPS D-brane
tension.
| [
{
"created": "Mon, 14 Apr 2008 13:49:43 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Apr 2008 16:25:38 GMT",
"version": "v2"
}
] | 2009-12-04 | [
[
"Aref'eva",
"Irina Ya.",
""
],
[
"Gorbachev",
"Roman V.",
""
],
[
"Medvedev",
"Peter B.",
""
]
] | A class of exact analytic solutions in the modified cubic fermionic string field theory with the GSO(-) sector is presented. This class contains the GSO(-) tachyon field and reproduces the correct value for the nonBPS D-brane tension. |
1105.0194 | Jesper Grimstrup | Johannes Aastrup and Jesper M. Grimstrup | From Quantum Gravity to Quantum Field Theory via Noncommutative Geometry | 34 pages, 3 figures | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A link between canonical quantum gravity and fermionic quantum field theory
is established in this paper. From a spectral triple construction which encodes
the kinematics of quantum gravity semi-classical states are constructed which,
in a semi-classical limit, give a system of interacting fermions in an ambient
gravitational field. The interaction involves flux tubes of the gravitational
field. In the additional limit where all gravitational degrees of freedom are
turned off, a free fermionic quantum field theory emerges.
| [
{
"created": "Sun, 1 May 2011 19:32:52 GMT",
"version": "v1"
}
] | 2011-05-03 | [
[
"Aastrup",
"Johannes",
""
],
[
"Grimstrup",
"Jesper M.",
""
]
] | A link between canonical quantum gravity and fermionic quantum field theory is established in this paper. From a spectral triple construction which encodes the kinematics of quantum gravity semi-classical states are constructed which, in a semi-classical limit, give a system of interacting fermions in an ambient gravitational field. The interaction involves flux tubes of the gravitational field. In the additional limit where all gravitational degrees of freedom are turned off, a free fermionic quantum field theory emerges. |
1110.1455 | Satoshi Kamoshita | Katsushi Ito, Satoshi Kamoshita, Shin Sasaki | Deformed BPS Monopole in Omega-background | 13 pages, 1 figure, published version | Phys. Lett. B710 (2012) 240-244 | 10.1016/j.physletb.2012.02.082 | TIT/HEP-616 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the BPS condition in the $\Omega$-deformed $\mathcal{N}=2$ super
Yang-Mills theory when one of the $\epsilon$-parameters of the background is
zero. We obtain the deformed BPS equation for dyons and the formula for their
central charge. In particular, we find that the deformed BPS monopole equation
has axially-symmetric solution and is equivalent to the Ernst equation. The
monopole charge is shown to be undeformed. We construct one-monopole solution
explicitly and examine its profile.
| [
{
"created": "Fri, 7 Oct 2011 08:35:59 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Oct 2011 11:57:55 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Mar 2012 12:44:43 GMT",
"version": "v3"
}
] | 2015-05-30 | [
[
"Ito",
"Katsushi",
""
],
[
"Kamoshita",
"Satoshi",
""
],
[
"Sasaki",
"Shin",
""
]
] | We study the BPS condition in the $\Omega$-deformed $\mathcal{N}=2$ super Yang-Mills theory when one of the $\epsilon$-parameters of the background is zero. We obtain the deformed BPS equation for dyons and the formula for their central charge. In particular, we find that the deformed BPS monopole equation has axially-symmetric solution and is equivalent to the Ernst equation. The monopole charge is shown to be undeformed. We construct one-monopole solution explicitly and examine its profile. |
1711.00084 | Sibylle Driezen | Saskia Demulder, Sibylle Driezen, Alexander Sevrin and Daniel C.
Thompson | Classical and Quantum Aspects of Yang-Baxter Wess-Zumino Models | 44 pages; 4 figures; v2: references added; v3: published version,
text edited and restructured, result added on CFT operators driving the flow | null | 10.1007/JHEP03(2018)041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the integrable Yang-Baxter deformation of the 2d Principal
Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop beta
functions are calculated and display a surprising connection between classical
and quantum physics: the classical integrability condition is necessary to
prevent new couplings being generated by renormalisation. We show these
theories admit an elegant realisation of Poisson-Lie T-duality acting as a
simple inversion of coupling constants. The self-dual point corresponds to the
Wess-Zumino-Witten model and is the IR fixed point under RG. We address the
possibility of having supersymmetric extensions of these models showing that
extended supersymmetry is not possible in general.
| [
{
"created": "Tue, 31 Oct 2017 20:06:36 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2017 18:04:12 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Mar 2018 12:25:42 GMT",
"version": "v3"
}
] | 2018-04-04 | [
[
"Demulder",
"Saskia",
""
],
[
"Driezen",
"Sibylle",
""
],
[
"Sevrin",
"Alexander",
""
],
[
"Thompson",
"Daniel C.",
""
]
] | We investigate the integrable Yang-Baxter deformation of the 2d Principal Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop beta functions are calculated and display a surprising connection between classical and quantum physics: the classical integrability condition is necessary to prevent new couplings being generated by renormalisation. We show these theories admit an elegant realisation of Poisson-Lie T-duality acting as a simple inversion of coupling constants. The self-dual point corresponds to the Wess-Zumino-Witten model and is the IR fixed point under RG. We address the possibility of having supersymmetric extensions of these models showing that extended supersymmetry is not possible in general. |
hep-th/9409121 | null | K. Behrndt | Creation of a scalar potential in 2D dilaton gravity | talk presented at MG 7, 4 Pages, latex, SLAC-PUB-6673 | null | null | null | hep-th gr-qc | null | We investigate quantum corrections of the 2-d dilaton gravity near the
singularity. Our motivation comes from a s-wave reduced cosmological solution
which is classically singular in the scalar fields (dilaton and moduli). As
result we find, that the singularity disappears and a dilaton/moduli potential
is created.
| [
{
"created": "Wed, 21 Sep 1994 04:54:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Behrndt",
"K.",
""
]
] | We investigate quantum corrections of the 2-d dilaton gravity near the singularity. Our motivation comes from a s-wave reduced cosmological solution which is classically singular in the scalar fields (dilaton and moduli). As result we find, that the singularity disappears and a dilaton/moduli potential is created. |
hep-th/9303051 | null | E. Bergshoeff, H.J. Boonstra, M. de Roo, S. Panda and A. Sevrin | On the BRST Operator of $W$-Strings | 12 pages, UG-2/93, UCB-PTH-93/05, LBL-33737 (equations (30) and (31)
have been corrected) | Phys.Lett. B308 (1993) 34-41 | 10.1016/0370-2693(93)90598-C | null | hep-th | null | We discuss the conditions under which the BRST operator of a $W$-string can
be written as the sum of two operators that are separately nilpotent and
anticommute with each other. We illustrate our results with the example of the
non-critical $W_3$-string. Furthermore, we apply our results to make a
conjecture about a relationship between the spectrum of a non-critical
$W_n$-string and a $W_{n-1}$-string.
| [
{
"created": "Tue, 9 Mar 1993 13:46:00 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 1993 11:53:00 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Bergshoeff",
"E.",
""
],
[
"Boonstra",
"H. J.",
""
],
[
"de Roo",
"M.",
""
],
[
"Panda",
"S.",
""
],
[
"Sevrin",
"A.",
""
]
] | We discuss the conditions under which the BRST operator of a $W$-string can be written as the sum of two operators that are separately nilpotent and anticommute with each other. We illustrate our results with the example of the non-critical $W_3$-string. Furthermore, we apply our results to make a conjecture about a relationship between the spectrum of a non-critical $W_n$-string and a $W_{n-1}$-string. |
2208.01052 | Teppei Kitahara | Yuta Hamada, Teppei Kitahara, Yoshiki Sato | Monopole-fermion scattering and varying Fock space | 28 pages, 2 figures, 1 table; v2: references added, matches version
published in JHEP | JHEP 11 (2022) 116 | 10.1007/JHEP11(2022)116 | KEK-TH-2423, YITP-22-44, TU-1156 | hep-th cond-mat.str-el hep-ph | http://creativecommons.org/licenses/by/4.0/ | We propose a four-dimensional interpretation of the outgoing state of the
scattering of a massless fermion off a Dirac monopole. It has been known that
such a state has fractional fermion numbers and is necessarily outside the Fock
space on top of ordinary perturbative vacuum, when more than two flavours of
charged Dirac fermions are considered. In this paper, we point out that the
Fock space of the fermions depends on the rotor degree of freedom of the
monopole and changes by a monopole-fermion s-wave scattering. By uplifting the
fermion-rotor system introduced by Polchinski, from two to four dimensions, we
argue that the outgoing state can be understood as a state in a different Fock
space.
| [
{
"created": "Mon, 1 Aug 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Nov 2022 08:21:31 GMT",
"version": "v2"
}
] | 2022-11-22 | [
[
"Hamada",
"Yuta",
""
],
[
"Kitahara",
"Teppei",
""
],
[
"Sato",
"Yoshiki",
""
]
] | We propose a four-dimensional interpretation of the outgoing state of the scattering of a massless fermion off a Dirac monopole. It has been known that such a state has fractional fermion numbers and is necessarily outside the Fock space on top of ordinary perturbative vacuum, when more than two flavours of charged Dirac fermions are considered. In this paper, we point out that the Fock space of the fermions depends on the rotor degree of freedom of the monopole and changes by a monopole-fermion s-wave scattering. By uplifting the fermion-rotor system introduced by Polchinski, from two to four dimensions, we argue that the outgoing state can be understood as a state in a different Fock space. |
hep-th/9409166 | Michele Bourdeau | Michele Bourdeau | Grassmannian Sigma Models and Topological-Antitopological Fusion | 20 pages (LaTeX), OUTP-94-22P | Nucl.Phys. B439 (1995) 421-440 | 10.1016/0550-3213(95)95691-8 | null | hep-th | null | We study the topological-antitopological fusion equations for supersymmetric
sigma models on Grassmannian manifolds G(k,N). We find a basis in which the
metric becomes diagonal and the $tt^*$ equations become tractable. The solution
for the metric of G(k,N) can then be described in terms of the metric for the
$CP^{N-1}$ models. The IR expansion helps clarify the picture of the vacua and
gives the soliton numbers and masses. We also show that the $tt^*$ equation for
G(k,N) in the large N limit is solvable, for any k.
| [
{
"created": "Tue, 27 Sep 1994 17:59:15 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bourdeau",
"Michele",
""
]
] | We study the topological-antitopological fusion equations for supersymmetric sigma models on Grassmannian manifolds G(k,N). We find a basis in which the metric becomes diagonal and the $tt^*$ equations become tractable. The solution for the metric of G(k,N) can then be described in terms of the metric for the $CP^{N-1}$ models. The IR expansion helps clarify the picture of the vacua and gives the soliton numbers and masses. We also show that the $tt^*$ equation for G(k,N) in the large N limit is solvable, for any k. |
1409.8014 | Josef Kluson | J. Kluson | Canonical Analysis of Unimodular Gravity | 11 pages, v2 references added | null | 10.1103/PhysRevD.91.064058 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This short note is devoted to the Hamiltonian analysis of the Unimodular
Gravity.We treat the unimodular gravity as General Relativity action with the
unimodular constraint imposed with the help of Lagrange multiplier. We perform
the canonical analysis of the resulting theory and determine its constraint
structure.
| [
{
"created": "Mon, 29 Sep 2014 07:44:43 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Oct 2014 05:16:24 GMT",
"version": "v2"
}
] | 2017-03-22 | [
[
"Kluson",
"J.",
""
]
] | This short note is devoted to the Hamiltonian analysis of the Unimodular Gravity.We treat the unimodular gravity as General Relativity action with the unimodular constraint imposed with the help of Lagrange multiplier. We perform the canonical analysis of the resulting theory and determine its constraint structure. |
hep-th/0501041 | Tao Liu | Mirjam Cvetic, Tianjun Li, Tao Liu | Standard-like Models as Type IIB Flux Vacua | 31 pages | Phys.Rev.D71:106008,2005 | 10.1103/PhysRevD.71.106008 | UPR-1101-T | hep-th hep-ph | null | We construct new semi-realistic Type IIB flux vacua on $Z_2\times Z_2$
orientifolds with three- and four- Standard Model (SM) families and up to three
units of quantized flux. The open-string sector is comprised of magnetized
D-branes and is T-dual to supersymmetric intersecting D6-brane constructions.
The SM sector contains magnetized D9-branes with negative D3-brane charge
contribution. There are large classes of such models and we present explicit
constructions for representative ones. In addition to models with one and two
units of quantized flux, we also construct the first three- and four-family
Standard-like models with supersymmetric fluxes, i.e. comprising three units of
quantized flux. Supergravity fluxes are due to the self-dual NS-NS and R-R
three-form field strength and they fix the toroidal complex structure moduli
and the dilaton. The supersymmetry conditions for the D-brane sector fix in
some models all three toroidal K\"ahler moduli. We also provide examples where
toroidal K\" ahler moduli are fixed by strong gauge dynamics on the ``hidden
sector'' D7-brane. Most of the models possess Higgs doublet pairs with Yukawa
couplings that can generate masses for quarks and leptons. The models have
(mainly right-) chiral exotics.
| [
{
"created": "Thu, 6 Jan 2005 20:43:07 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Li",
"Tianjun",
""
],
[
"Liu",
"Tao",
""
]
] | We construct new semi-realistic Type IIB flux vacua on $Z_2\times Z_2$ orientifolds with three- and four- Standard Model (SM) families and up to three units of quantized flux. The open-string sector is comprised of magnetized D-branes and is T-dual to supersymmetric intersecting D6-brane constructions. The SM sector contains magnetized D9-branes with negative D3-brane charge contribution. There are large classes of such models and we present explicit constructions for representative ones. In addition to models with one and two units of quantized flux, we also construct the first three- and four-family Standard-like models with supersymmetric fluxes, i.e. comprising three units of quantized flux. Supergravity fluxes are due to the self-dual NS-NS and R-R three-form field strength and they fix the toroidal complex structure moduli and the dilaton. The supersymmetry conditions for the D-brane sector fix in some models all three toroidal K\"ahler moduli. We also provide examples where toroidal K\" ahler moduli are fixed by strong gauge dynamics on the ``hidden sector'' D7-brane. Most of the models possess Higgs doublet pairs with Yukawa couplings that can generate masses for quarks and leptons. The models have (mainly right-) chiral exotics. |
1507.04130 | Yu Nakayama | Yu Nakayama and Hirosi Ooguri | Bulk Locality and Boundary Creating Operators | 4 pages | null | null | CALT-TH 2015-037, IPMU 15-0105 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate a minimum requirement for CFT operators to be localized in the
dual AdS. In any spacetime dimensions, we show that a general solution to the
requirement is a linear superposition of operators creating spherical
boundaries in CFT, with the dilatation by the imaginary unit from their
centers. This generalizes the recent proposal by Miyaji et al. for bulk local
operators in the three dimensional AdS. We show that Ishibashi states for the
global conformal symmetry in any dimensions and with the imaginary dilatation
obey free field equations in AdS and that incorporating bulk interactions
require their superpositions. We also comment on the recent proposals by Kabat
et al., and by H. Verlinde.
| [
{
"created": "Wed, 15 Jul 2015 08:57:22 GMT",
"version": "v1"
}
] | 2015-07-16 | [
[
"Nakayama",
"Yu",
""
],
[
"Ooguri",
"Hirosi",
""
]
] | We formulate a minimum requirement for CFT operators to be localized in the dual AdS. In any spacetime dimensions, we show that a general solution to the requirement is a linear superposition of operators creating spherical boundaries in CFT, with the dilatation by the imaginary unit from their centers. This generalizes the recent proposal by Miyaji et al. for bulk local operators in the three dimensional AdS. We show that Ishibashi states for the global conformal symmetry in any dimensions and with the imaginary dilatation obey free field equations in AdS and that incorporating bulk interactions require their superpositions. We also comment on the recent proposals by Kabat et al., and by H. Verlinde. |
1012.5709 | Rong-Gen Cai | Rong-Gen Cai and Yun Soo Myung | Hawking temperature for constant curvature black bole and its analogue
in de Sitter space | Latex 13 pages without figure | Phys.Rev.D83:107502,2011 | 10.1103/PhysRevD.83.107502 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/3.0/ | The constant curvature (CC) black holes are higher dimensional
generalizations of BTZ black holes. It is known that these black holes have the
unusual topology of ${\cal M}_{D-1}\times S^1$, where $D$ is the spacetime
dimension and ${\cal M}_{D-1}$ stands for a conformal Minkowski spacetime in
$D-1$ dimensions. The unusual topology and time-dependence for the exterior of
these black holes cause some difficulties to derive their thermodynamic
quantities. In this work, by using globally embedding approach, we obtain the
Hawking temperature of the CC black holes. We find that the Hawking temperature
takes the same form when using both the static an global coordinates. Also it
is identical to the Gibbons-Hawking temperature of the boundary de Sitter
spaces of these CC black holes. Employing the same approach, we obtain the
Hawking temperature for the counterparts of CC black holes in de Sitter spaces.
| [
{
"created": "Tue, 28 Dec 2010 07:44:51 GMT",
"version": "v1"
}
] | 2011-05-13 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Myung",
"Yun Soo",
""
]
] | The constant curvature (CC) black holes are higher dimensional generalizations of BTZ black holes. It is known that these black holes have the unusual topology of ${\cal M}_{D-1}\times S^1$, where $D$ is the spacetime dimension and ${\cal M}_{D-1}$ stands for a conformal Minkowski spacetime in $D-1$ dimensions. The unusual topology and time-dependence for the exterior of these black holes cause some difficulties to derive their thermodynamic quantities. In this work, by using globally embedding approach, we obtain the Hawking temperature of the CC black holes. We find that the Hawking temperature takes the same form when using both the static an global coordinates. Also it is identical to the Gibbons-Hawking temperature of the boundary de Sitter spaces of these CC black holes. Employing the same approach, we obtain the Hawking temperature for the counterparts of CC black holes in de Sitter spaces. |
2304.03789 | Mathew Bullimore | Thomas Bartsch, Mathew Bullimore, Andrea Grigoletto | Higher representations for extended operators | 60 pages + appendix. v2: minor corrections | null | null | null | hep-th cond-mat.str-el math-ph math.CT math.MP math.QA | http://creativecommons.org/licenses/by/4.0/ | It is known that local operators in quantum field theory transform in
representations of ordinary global symmetry groups. The purpose of this paper
is to generalise this statement to extended operators such as line and surface
defects. We explain that $(n-1)$-dimensional operators transform in
$n$-representations of a finite invertible or group-like symmetry and
thoroughly explore this statement for $n = 1,2,3$. We therefore propose higher
representation theory as the natural framework to describe the action of
symmetries on the extended operator content in quantum field theory.
| [
{
"created": "Fri, 7 Apr 2023 18:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jun 2023 10:54:36 GMT",
"version": "v2"
}
] | 2023-06-06 | [
[
"Bartsch",
"Thomas",
""
],
[
"Bullimore",
"Mathew",
""
],
[
"Grigoletto",
"Andrea",
""
]
] | It is known that local operators in quantum field theory transform in representations of ordinary global symmetry groups. The purpose of this paper is to generalise this statement to extended operators such as line and surface defects. We explain that $(n-1)$-dimensional operators transform in $n$-representations of a finite invertible or group-like symmetry and thoroughly explore this statement for $n = 1,2,3$. We therefore propose higher representation theory as the natural framework to describe the action of symmetries on the extended operator content in quantum field theory. |
1110.0803 | Jean Michel Maillet | N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras | Form factor approach to the asymptotic behavior of correlation functions
in critical models | 31 pages | J. Stat. Mech. (2011) P12010 | 10.1088/1742-5468/2011/12/P12010 | LPENSL-TH-10-11 | hep-th cond-mat.stat-mech math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a form factor approach for the computation of the large distance
asymptotic behavior of correlation functions in quantum critical (integrable)
models. In the large distance regime we reduce the summation over all excited
states to one over the particle/hole excitations lying on the Fermi surface in
the thermodynamic limit. We compute these sums, over the so-called critical
form factors, exactly. Thus we obtain the leading large distance behavior of
each oscillating harmonic of the correlation function asymptotic expansion,
including the corresponding amplitudes. Our method is applicable to a wide
variety of integrable models and yields precisely the results stemming from the
Luttinger liquid approach, the conformal field theory predictions and our
previous analysis of the correlation functions from their multiple integral
representations. We argue that our scheme applies to a general class of
non-integrable quantum critical models as well.
| [
{
"created": "Tue, 4 Oct 2011 19:07:23 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2012 11:54:47 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Kitanine",
"N.",
""
],
[
"Kozlowski",
"K. K.",
""
],
[
"Maillet",
"J. M.",
""
],
[
"Slavnov",
"N. A.",
""
],
[
"Terras",
"V.",
""
]
] | We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models. In the large distance regime we reduce the summation over all excited states to one over the particle/hole excitations lying on the Fermi surface in the thermodynamic limit. We compute these sums, over the so-called critical form factors, exactly. Thus we obtain the leading large distance behavior of each oscillating harmonic of the correlation function asymptotic expansion, including the corresponding amplitudes. Our method is applicable to a wide variety of integrable models and yields precisely the results stemming from the Luttinger liquid approach, the conformal field theory predictions and our previous analysis of the correlation functions from their multiple integral representations. We argue that our scheme applies to a general class of non-integrable quantum critical models as well. |
1507.05218 | Paul K. Townsend | Alasdair J. Routh and Paul K. Townsend | Twistor form of massive 6D superparticle | 16 pages. Revision corrects typos, adds references and improves
discussion section. Minor corrections in v.3 | null | 10.1088/1751-8113/49/2/025402 | DAMTP-2015-33 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The massive six-dimensional (6D) superparticle with manifest (n,0)
supersymmetry is shown to have a supertwistor formulation in which its "hidden"
(0,n) supersymmetry is also manifest. The mass-shell constraint is replaced by
Spin(5) spin-shell constraints which imply that the quantum superparticle has
zero superspin, for n=1 it propagates the 6D Proca supermultiplet.
| [
{
"created": "Sat, 18 Jul 2015 19:25:26 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2015 12:10:57 GMT",
"version": "v2"
},
{
"created": "Sun, 29 Nov 2015 22:33:22 GMT",
"version": "v3"
}
] | 2016-01-20 | [
[
"Routh",
"Alasdair J.",
""
],
[
"Townsend",
"Paul K.",
""
]
] | The massive six-dimensional (6D) superparticle with manifest (n,0) supersymmetry is shown to have a supertwistor formulation in which its "hidden" (0,n) supersymmetry is also manifest. The mass-shell constraint is replaced by Spin(5) spin-shell constraints which imply that the quantum superparticle has zero superspin, for n=1 it propagates the 6D Proca supermultiplet. |
hep-th/9607213 | null | Giovanni Salesi and Erasmo Recami | About the kinematics of spinning particles | null | Adv.Appl.Clifford Algebras 7:s253-s278,1997 | null | null | hep-th | null | Inserting the correct Lorentz factor into the definition of the 4-velocity
v^mu for spinning particles entails new kinematical properties for v^2. The
well-known constraint (identically true for scalar particles, but entering also
the Dirac theory, and assumed a priori in all spinning particle models) p_mu
v^mu = m is here derived in a self-consistent way.
| [
{
"created": "Mon, 29 Jul 1996 07:24:51 GMT",
"version": "v1"
}
] | 2010-02-09 | [
[
"Salesi",
"Giovanni",
""
],
[
"Recami",
"Erasmo",
""
]
] | Inserting the correct Lorentz factor into the definition of the 4-velocity v^mu for spinning particles entails new kinematical properties for v^2. The well-known constraint (identically true for scalar particles, but entering also the Dirac theory, and assumed a priori in all spinning particle models) p_mu v^mu = m is here derived in a self-consistent way. |
2211.02702 | Niall Macpherson | Mariana Lima, Niall T. Macpherson, Dmitry Melnikov, Luis Ypanaqu\'e | On generalised D1-D5 near horizons and their spectra | 28 pages + appendices | null | 10.1007/JHEP04(2023)060 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | There has been considerable recent interest in type II string
compactifications on AdS$_3\times$S$^3\times$M$_{4}$ due to both new progress
in the AdS$_3$/CFT$_2$ correspondence and an independent search for new ${\cal
N}=(4,0)$ supergravity solutions. In this work we report a new family of small
${\cal N}=(4,0)$ preserving warped AdS$_3\times$S$^3\times $CY$_2$
compactifications of type IIB supergravity. The S$^3$ in this family is non
trivially fibered over the CY$_2$. We show how these new solutions provide a
IIB embedding of minimal ungauged $d=5$ supergravity coupled to an Abelian
vector multiplet. We also make a few initial steps towards the identification
of dual CFT$_2$ candidates. Specifically, we study the Kaluza-Klein spectrum of
the spin two and certain vector fluctuations that are expected to be dual to
the stress-energy tensor, SU(2) R current and several other BPS operator
families in the dual CFT$_2$.
| [
{
"created": "Fri, 4 Nov 2022 18:35:54 GMT",
"version": "v1"
}
] | 2023-05-03 | [
[
"Lima",
"Mariana",
""
],
[
"Macpherson",
"Niall T.",
""
],
[
"Melnikov",
"Dmitry",
""
],
[
"Ypanaqué",
"Luis",
""
]
] | There has been considerable recent interest in type II string compactifications on AdS$_3\times$S$^3\times$M$_{4}$ due to both new progress in the AdS$_3$/CFT$_2$ correspondence and an independent search for new ${\cal N}=(4,0)$ supergravity solutions. In this work we report a new family of small ${\cal N}=(4,0)$ preserving warped AdS$_3\times$S$^3\times $CY$_2$ compactifications of type IIB supergravity. The S$^3$ in this family is non trivially fibered over the CY$_2$. We show how these new solutions provide a IIB embedding of minimal ungauged $d=5$ supergravity coupled to an Abelian vector multiplet. We also make a few initial steps towards the identification of dual CFT$_2$ candidates. Specifically, we study the Kaluza-Klein spectrum of the spin two and certain vector fluctuations that are expected to be dual to the stress-energy tensor, SU(2) R current and several other BPS operator families in the dual CFT$_2$. |
hep-th/9705115 | Englert Francois | F. Englert | On the black hole unitarity issue | 14 pages, latex, no figures. Talk presented at the Puri workshop
(December 1996) | null | null | ULB-TH 10/97 | hep-th | null | I discuss features required for preserving unitarity in black hole decay and
concepts underlying such a perspective. Unitarity requires that correlations
extend on the scale of the horizon. I show, in a toy model inspired by string
theories, that such correlations can indeed arise. The model suggests that,
after a time of order 4M ln M following the onset of Hawking radiation, quantum
effects could maintain throughout the decay a collapsing star within a Planck
distance of its Schwarzschild radius. In this way information loss would be
avoided. The concept of black hole ``complementarity'', which could reconcile
these macroscopic departures from classical physics with the equivalence
principle, is interpreted in terms of weak values of quantum operators.
| [
{
"created": "Thu, 15 May 1997 12:52:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Englert",
"F.",
""
]
] | I discuss features required for preserving unitarity in black hole decay and concepts underlying such a perspective. Unitarity requires that correlations extend on the scale of the horizon. I show, in a toy model inspired by string theories, that such correlations can indeed arise. The model suggests that, after a time of order 4M ln M following the onset of Hawking radiation, quantum effects could maintain throughout the decay a collapsing star within a Planck distance of its Schwarzschild radius. In this way information loss would be avoided. The concept of black hole ``complementarity'', which could reconcile these macroscopic departures from classical physics with the equivalence principle, is interpreted in terms of weak values of quantum operators. |
2212.11978 | Wayne Wei-En Weng | Alexey Milekhin, Pratik Rath and Wayne Weng | Computable Cross Norm in Tensor Networks and Holography | 10 pages | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | The Computable Cross Norm (CCNR) was recently discussed in
Ref.~\cite{Yin:2022toc} as a measure of multipartite entanglement in a
condensed matter context. In this short note, we point out that it is closely
related to the $(2,n)$-R\'enyi reflected entropy, which has been studied in the
context of AdS/CFT. We discuss the calculation of the CCNR in random tensor
networks as well as holographic CFTs. The holographic dual involves a
backreacted entanglement wedge cross section in a geometry sourced by R\'enyi-2
cosmic branes. We perform explicit calculations for two intervals in a
hyperbolic random tensor network as well the vacuum state of a 2D holographic
CFT, and analyze the occurence of a connected-to-disconnected phase transition.
The example illustrates the validity of the proposal for analytic continuation
in holography for arbitrary values of R\'enyi parameter $n$. We comment on a
symmetry-resolved generalization of this quantity.
| [
{
"created": "Thu, 22 Dec 2022 18:58:38 GMT",
"version": "v1"
}
] | 2023-05-04 | [
[
"Milekhin",
"Alexey",
""
],
[
"Rath",
"Pratik",
""
],
[
"Weng",
"Wayne",
""
]
] | The Computable Cross Norm (CCNR) was recently discussed in Ref.~\cite{Yin:2022toc} as a measure of multipartite entanglement in a condensed matter context. In this short note, we point out that it is closely related to the $(2,n)$-R\'enyi reflected entropy, which has been studied in the context of AdS/CFT. We discuss the calculation of the CCNR in random tensor networks as well as holographic CFTs. The holographic dual involves a backreacted entanglement wedge cross section in a geometry sourced by R\'enyi-2 cosmic branes. We perform explicit calculations for two intervals in a hyperbolic random tensor network as well the vacuum state of a 2D holographic CFT, and analyze the occurence of a connected-to-disconnected phase transition. The example illustrates the validity of the proposal for analytic continuation in holography for arbitrary values of R\'enyi parameter $n$. We comment on a symmetry-resolved generalization of this quantity. |
0906.4874 | Anisur Rahaman | Anisur Rahaman, Safia Yasmin, Sahazada Aziz | On the gauge and BRST invariance of the chiral QED with Faddeevian
anomaly | 11 pages latex, no figures, A little change in Title and abstract | Int.J.Theor.Phys.49:2607-2620,2010 | 10.1007/s10773-010-0452-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Chiral Schwinger model with the Faddeevian anomaly is considered. It is found
that imposing a chiral constraint this model can be expressed in terms of
chiral boson. The model when expressed in terms of chiral boson remains
anomalous and the Gauss law of which gives anomalous Poisson brackets between
itself. In spite of that a systematic BRST quantization is possible. The
Wess-Zumino term corresponding to this theory appears automatically during the
process of quantization. A gauge invariant reformulation of this model is also
constructed. Unlike the former one gauge invariance is done here without any
extension of phase space. This gauge invariant version maps onto the vector
Schwinger model.The gauge invariant version of the chiral Schwinger model for
$a=2$ has a massive field with identical mass however gauge invariant version
obtained here does not map on to that.
| [
{
"created": "Fri, 26 Jun 2009 08:36:43 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Sep 2010 14:40:46 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Sep 2010 09:17:38 GMT",
"version": "v3"
}
] | 2010-09-28 | [
[
"Rahaman",
"Anisur",
""
],
[
"Yasmin",
"Safia",
""
],
[
"Aziz",
"Sahazada",
""
]
] | Chiral Schwinger model with the Faddeevian anomaly is considered. It is found that imposing a chiral constraint this model can be expressed in terms of chiral boson. The model when expressed in terms of chiral boson remains anomalous and the Gauss law of which gives anomalous Poisson brackets between itself. In spite of that a systematic BRST quantization is possible. The Wess-Zumino term corresponding to this theory appears automatically during the process of quantization. A gauge invariant reformulation of this model is also constructed. Unlike the former one gauge invariance is done here without any extension of phase space. This gauge invariant version maps onto the vector Schwinger model.The gauge invariant version of the chiral Schwinger model for $a=2$ has a massive field with identical mass however gauge invariant version obtained here does not map on to that. |
hep-th/0602072 | Michael R. Douglas | Frederik Denef (KU Leuven) and Michael R. Douglas (Rutgers and IHES) | Computational complexity of the landscape I | JHEP3 Latex, 53 pp, 2 .eps figures | AnnalsPhys.322:1096-1142,2007 | 10.1016/j.aop.2006.07.013 | null | hep-th cs.CC | null | We study the computational complexity of the physical problem of finding
vacua of string theory which agree with data, such as the cosmological
constant, and show that such problems are typically NP hard. In particular, we
prove that in the Bousso-Polchinski model, the problem is NP complete. We
discuss the issues this raises and the possibility that, even if we were to
find compelling evidence that some vacuum of string theory describes our
universe, we might never be able to find that vacuum explicitly.
In a companion paper, we apply this point of view to the question of how
early cosmology might select a vacuum.
| [
{
"created": "Tue, 7 Feb 2006 19:15:23 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2006 22:15:40 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Denef",
"Frederik",
"",
"KU Leuven"
],
[
"Douglas",
"Michael R.",
"",
"Rutgers and IHES"
]
] | We study the computational complexity of the physical problem of finding vacua of string theory which agree with data, such as the cosmological constant, and show that such problems are typically NP hard. In particular, we prove that in the Bousso-Polchinski model, the problem is NP complete. We discuss the issues this raises and the possibility that, even if we were to find compelling evidence that some vacuum of string theory describes our universe, we might never be able to find that vacuum explicitly. In a companion paper, we apply this point of view to the question of how early cosmology might select a vacuum. |
hep-th/9407009 | Toshiya Kawai | Toshiya Kawai | Elliptic Genera of N=2 Hermitian Symmetric Space Models | 10 pages, LaTeX, KEK-TH-403 | Phys.Lett. B342 (1995) 87-93 | 10.1016/0370-2693(94)01334-9 | null | hep-th | null | Expressions are given for the elliptic genera of the Kazama-Suzuki models
associated with hermitian symmetric spaces when the problems of field
identifications are absent. We use the models' known Coulomb gas descriptions.
| [
{
"created": "Sun, 3 Jul 1994 07:17:23 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kawai",
"Toshiya",
""
]
] | Expressions are given for the elliptic genera of the Kazama-Suzuki models associated with hermitian symmetric spaces when the problems of field identifications are absent. We use the models' known Coulomb gas descriptions. |
2110.11711 | Armen Nersessian | Erik Khastyan, Sergey Krivonos, Armen Nersessian | K\"ahler geometry for $su(1,N|M)$-superconformal mechanics | 15 pages | Phys. Rev. A ,105, 025007(2022) | 10.1103/PhysRevD.105.025007 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We suggest the $su(1,N|M)$-superconformal mechanics formulated in terms of
phase superspace given by the non-compact analogue of complex projective
superspace $\mathbb{CP}^{N|M}$. We parameterized this phase space by the
specific coordinates allowing to interpret it as a higher-dimensional
super-analogue of the Lobachevsky plane parameterized by lower half-plane
(Klein model). Then we introduced the canonical coordinates corresponding to
the known separation of the "radial" and "angular" parts of (super)conformal
mechanics. Relating the "angular" coordinates with action-angle variables we
demonstrated that proposed scheme allows to construct the $su(1,N|M)$
supeconformal extensions of wide class of superintegrable systems. We also
proposed the superintegrable oscillator- and Coulomb- like systems with a
$su(1,N|M)$ dynamical superalgebra, and found that oscillator-like systems
admit deformed $\mathcal{N}=2M$ Poincar\'e supersymmetry, in contrast with
Coulomb-like ones.
| [
{
"created": "Fri, 22 Oct 2021 11:13:32 GMT",
"version": "v1"
}
] | 2022-08-19 | [
[
"Khastyan",
"Erik",
""
],
[
"Krivonos",
"Sergey",
""
],
[
"Nersessian",
"Armen",
""
]
] | We suggest the $su(1,N|M)$-superconformal mechanics formulated in terms of phase superspace given by the non-compact analogue of complex projective superspace $\mathbb{CP}^{N|M}$. We parameterized this phase space by the specific coordinates allowing to interpret it as a higher-dimensional super-analogue of the Lobachevsky plane parameterized by lower half-plane (Klein model). Then we introduced the canonical coordinates corresponding to the known separation of the "radial" and "angular" parts of (super)conformal mechanics. Relating the "angular" coordinates with action-angle variables we demonstrated that proposed scheme allows to construct the $su(1,N|M)$ supeconformal extensions of wide class of superintegrable systems. We also proposed the superintegrable oscillator- and Coulomb- like systems with a $su(1,N|M)$ dynamical superalgebra, and found that oscillator-like systems admit deformed $\mathcal{N}=2M$ Poincar\'e supersymmetry, in contrast with Coulomb-like ones. |
hep-th/0010282 | Katrin Becker | Katrin Becker and Melanie Becker | Compactifying M-Theory to Four Dimensions | 15 pages, TeX, no figures, references added | JHEP 0011 (2000) 029 | 10.1088/1126-6708/2000/11/029 | CALT-68-2302, UMD-PP-01-019 | hep-th | null | We consider compactifications of ${\cal M}$-theory to four-dimensional
Minkowski space on seven-dimensional non-compact manifolds. These
compactifications include a warp factor which is non-constant due to the
presence of sources coming from fivebranes wrapping two-dimensional
submanifolds of the internal seven-dimensional space. We derive the expression
for the field strengths and consider an explicit example of this general class
of solutions.
| [
{
"created": "Mon, 30 Oct 2000 23:45:10 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Nov 2000 16:56:57 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
]
] | We consider compactifications of ${\cal M}$-theory to four-dimensional Minkowski space on seven-dimensional non-compact manifolds. These compactifications include a warp factor which is non-constant due to the presence of sources coming from fivebranes wrapping two-dimensional submanifolds of the internal seven-dimensional space. We derive the expression for the field strengths and consider an explicit example of this general class of solutions. |
hep-th/0407136 | Emil J. Martinec | Emil Martinec and Kazumi Okuyama | Scattered Results in 2D String Theory | 22 pages, 5 figures, harvmac. v2: minor comments added, typos
corrected | JHEP 0410:065,2004 | 10.1088/1126-6708/2004/10/065 | EFI-04-28 | hep-th | null | The nonperturbative $1\to N$ tachyon scattering amplitude in 2D type 0A
string theory is computed. The probability that $N$ particles are produced is a
monotonically decreasing function of $N$ whenever $N$ is large enough that
statistical methods apply. The results are compared with expectations from
black hole thermodynamics.
| [
{
"created": "Thu, 15 Jul 2004 16:01:17 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Sep 2004 20:45:23 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Martinec",
"Emil",
""
],
[
"Okuyama",
"Kazumi",
""
]
] | The nonperturbative $1\to N$ tachyon scattering amplitude in 2D type 0A string theory is computed. The probability that $N$ particles are produced is a monotonically decreasing function of $N$ whenever $N$ is large enough that statistical methods apply. The results are compared with expectations from black hole thermodynamics. |
2001.09943 | Thomas Steingasser | Thomas Steingasser | On the domain of moduli fields | 29 pages, agrees with the version published in JHEP. Redundancies of
v1 have been removed, the central insights are emphasized more clearly, the
generalization to higher-dimensional settings is discussed explicitly and
demonstrated in full detail for certain particularly instructive examples | J. High Energ. Phys. 2020, 153 (2020) | 10.1007/JHEP05(2020)153 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of the moduli space allows for a simple, universally applicable
description of the low-energy dynamics of topological solitons. This
description is remarkably insensitive to the properties of the underlying
theory, whose details only manifest themselves via the moduli space metric.
This article presents a generalization of this concept, which allows to
transfer its most intriguing features to configurations of any energy captured
by the theory giving rise to the soliton, given that these are localized
sufficiently close to the soliton's center. The resulting theory is capable of
describing all dynamics within its range of applicability by just one family of
fields, with all the information about the underlying theory entering via a
finite number of background functions, which can be linked to physical
properties of the present soliton.
| [
{
"created": "Mon, 27 Jan 2020 18:00:21 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2020 17:00:00 GMT",
"version": "v2"
}
] | 2020-06-01 | [
[
"Steingasser",
"Thomas",
""
]
] | The concept of the moduli space allows for a simple, universally applicable description of the low-energy dynamics of topological solitons. This description is remarkably insensitive to the properties of the underlying theory, whose details only manifest themselves via the moduli space metric. This article presents a generalization of this concept, which allows to transfer its most intriguing features to configurations of any energy captured by the theory giving rise to the soliton, given that these are localized sufficiently close to the soliton's center. The resulting theory is capable of describing all dynamics within its range of applicability by just one family of fields, with all the information about the underlying theory entering via a finite number of background functions, which can be linked to physical properties of the present soliton. |
0705.0496 | Ali Imaanpur | Ali Imaanpur | On Instantons in Holographic QCD | 10 pages, a section added | null | null | null | hep-th | null | We examine instantons and solitons of the effective action of probe D8-branes
in the background of $N_c$ D4-branes which has served as a holographic
description of QCD. We show that the 4d instantons sit at the minimum of the
Euclidean 5d action. Restricting to the static solitons of the five-dimensional
model we are led to consider monopoles in a 3-dimensional curved space. Since
the background metric depends only on the fifth coordinate, it is possible to
reduce the monopole equations to the ones in flat space and write down the
explicit solutions.
| [
{
"created": "Thu, 3 May 2007 16:29:20 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2007 12:57:15 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Jun 2007 13:21:07 GMT",
"version": "v3"
}
] | 2007-06-21 | [
[
"Imaanpur",
"Ali",
""
]
] | We examine instantons and solitons of the effective action of probe D8-branes in the background of $N_c$ D4-branes which has served as a holographic description of QCD. We show that the 4d instantons sit at the minimum of the Euclidean 5d action. Restricting to the static solitons of the five-dimensional model we are led to consider monopoles in a 3-dimensional curved space. Since the background metric depends only on the fifth coordinate, it is possible to reduce the monopole equations to the ones in flat space and write down the explicit solutions. |
1010.6074 | James T. Liu | James T. Liu and Ruben Minasian | Computing 1/N^2 corrections in AdS/CFT | 24 pages, LaTeX | null | null | IPhT-T10/161, MCTP-10-50 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Stringy corrections in AdS/CFT generally fall into the category of either
\alpha' effects or string loop effects, corresponding to 1/\lambda and 1/N
corrections, respectively, in the dual field theory. While \alpha'^3R^4
corrections have been well studied, at least in the context of N=4
super-Yang-Mills, less is known about the 1/N^2 corrections arising from closed
string loops. In this paper, we consider AdS_5 x SE_5 compactifications of the
IIB string, and compute the closed string loop correction to the anomaly
coefficients a and c in the dual field theory. For T^{1,1} reductions, we find
the string loop correction to yield c-a=1/24, which is the contribution to c-a
of a free N=2 hypermultiplet. We also comment on reductions to lower
dimensional AdS theories as well as the nature of T-duality with higher
derivatives.
| [
{
"created": "Thu, 28 Oct 2010 20:00:53 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Liu",
"James T.",
""
],
[
"Minasian",
"Ruben",
""
]
] | Stringy corrections in AdS/CFT generally fall into the category of either \alpha' effects or string loop effects, corresponding to 1/\lambda and 1/N corrections, respectively, in the dual field theory. While \alpha'^3R^4 corrections have been well studied, at least in the context of N=4 super-Yang-Mills, less is known about the 1/N^2 corrections arising from closed string loops. In this paper, we consider AdS_5 x SE_5 compactifications of the IIB string, and compute the closed string loop correction to the anomaly coefficients a and c in the dual field theory. For T^{1,1} reductions, we find the string loop correction to yield c-a=1/24, which is the contribution to c-a of a free N=2 hypermultiplet. We also comment on reductions to lower dimensional AdS theories as well as the nature of T-duality with higher derivatives. |
0801.4789 | Minho Son | Minho Son, Raman Sundrum | Anomaly-Mediation and Sequestering from a Higher-Dimensional viewpoint | 33 pages, typos corrected, added references, version appearing in
JHEP | JHEP 0808:004,2008 | 10.1088/1126-6708/2008/08/004 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a five-dimensional supergravity model with boundary-localized
visible sector exhibiting anomaly-mediated supersymmetry breaking, in which the
central requirements of sequestering and radius stabilization are achieved
perturbatively. This makes it possible to understand these various mechanisms
in a more integrated and transparent fashion, mostly from the
higher-dimensional viewpoint. Local supersymmetry, in the presence of visible
sector quantum effects, is enforced by the formalism of the five-dimensional
superconformal tensor calculus. The construction results in only mild warping,
which allows a natural supersymmetry-breaking mediation mechanism of (finite)
boundary-to-boundary gravity loops to co-dominate with anomaly-mediation,
thereby solving the latter's tachyonic slepton problem. We make the non-trivial
check that this can occur while dangerous loops of stabilizing fields remain
highly suppressed. Our discussion is a well-controlled starting point for
considering other generalizations of anomaly-mediation, or for string theory
realizations.
| [
{
"created": "Wed, 30 Jan 2008 22:47:52 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Aug 2008 17:55:27 GMT",
"version": "v2"
}
] | 2009-09-15 | [
[
"Son",
"Minho",
""
],
[
"Sundrum",
"Raman",
""
]
] | We study a five-dimensional supergravity model with boundary-localized visible sector exhibiting anomaly-mediated supersymmetry breaking, in which the central requirements of sequestering and radius stabilization are achieved perturbatively. This makes it possible to understand these various mechanisms in a more integrated and transparent fashion, mostly from the higher-dimensional viewpoint. Local supersymmetry, in the presence of visible sector quantum effects, is enforced by the formalism of the five-dimensional superconformal tensor calculus. The construction results in only mild warping, which allows a natural supersymmetry-breaking mediation mechanism of (finite) boundary-to-boundary gravity loops to co-dominate with anomaly-mediation, thereby solving the latter's tachyonic slepton problem. We make the non-trivial check that this can occur while dangerous loops of stabilizing fields remain highly suppressed. Our discussion is a well-controlled starting point for considering other generalizations of anomaly-mediation, or for string theory realizations. |
2402.04320 | Yui Hayashi | Yui Hayashi and Yuya Tanizaki | Semiclassics for the QCD vacuum structure through $T^2$-compactification
with the baryon-'t Hooft flux | 39 pages, 5 figures, v2: footnotes and references added, v3:
clarifications added | null | null | YITP-24-15 | hep-th hep-lat hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study QCD vacuum structure with the topological $\theta$ angle using a
recently proposed semiclassical approach on $\mathbb{R}^2 \times T^2$ with the
't Hooft and baryon magnetic fluxes. Under the assumption of adiabatic
continuity in this setup, the confining vacuum can be described by the dilute
gas of center vortices. With this semiclassical approach, we derive the 2d
effective description at small $T^2$ and successfully explain the reasonable
theta dependence of the QCD vacuum: In the one-flavor QCD at $\theta = \pi$,
the $CP$ symmetry is spontaneously broken for quark mass above a critical value
and restored for a subcritical mass, while the $CP$ symmetry is always
spontaneously broken in the multi-flavor QCD at $\theta = \pi$. From our
semiclassical description, we discuss implications to the $4$d chiral
Lagrangian and propose how the $\eta'$ meson should be incorporated in
consistent with known global structures: The periodicity of the $\eta'$ should
be extended from the naive one $2\pi$ to $2\pi N$. Additionally, we revisit the
phase diagram of $N_f = 1+1$ and $N_f = 1+1+1$ QCD on the up and down quark
mass plane, confirming and refining the existence of the $CP$-broken Dashen
phase.
| [
{
"created": "Tue, 6 Feb 2024 19:03:55 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Feb 2024 12:57:11 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Apr 2024 17:46:54 GMT",
"version": "v3"
}
] | 2024-04-24 | [
[
"Hayashi",
"Yui",
""
],
[
"Tanizaki",
"Yuya",
""
]
] | We study QCD vacuum structure with the topological $\theta$ angle using a recently proposed semiclassical approach on $\mathbb{R}^2 \times T^2$ with the 't Hooft and baryon magnetic fluxes. Under the assumption of adiabatic continuity in this setup, the confining vacuum can be described by the dilute gas of center vortices. With this semiclassical approach, we derive the 2d effective description at small $T^2$ and successfully explain the reasonable theta dependence of the QCD vacuum: In the one-flavor QCD at $\theta = \pi$, the $CP$ symmetry is spontaneously broken for quark mass above a critical value and restored for a subcritical mass, while the $CP$ symmetry is always spontaneously broken in the multi-flavor QCD at $\theta = \pi$. From our semiclassical description, we discuss implications to the $4$d chiral Lagrangian and propose how the $\eta'$ meson should be incorporated in consistent with known global structures: The periodicity of the $\eta'$ should be extended from the naive one $2\pi$ to $2\pi N$. Additionally, we revisit the phase diagram of $N_f = 1+1$ and $N_f = 1+1+1$ QCD on the up and down quark mass plane, confirming and refining the existence of the $CP$-broken Dashen phase. |
1908.06717 | Susobhan Mandal | Susobhan Mandal and Subhashish Banerjee | Local description of S-matrix in quantum field theory in curved
spacetime using Riemann-normal coordinate | 24 pages, 7 figures | null | 10.1140/epjp/s13360-021-02037-z | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The success of the S-matrix in quantum field theory in Minkowski spacetime
naturally demands the extension of the construction of the S-matrix in a
general curved spacetime in a covariant manner. However, it is well-known that
a global description of the S-matrix may not exist in an arbitrary curved
spacetime. Here, we give a local construction of S-matrix in quantum field
theory in curved spacetime using Riemann-normal coordinates which mimics the
methods, generally used in Minkowski spacetime. Using this construction, the
scattering amplitudes and cross-sections of some scattering processes are
computed in a generic curved spacetime. Further, it is also shown that these
observables can be used to probe features of curved spacetime as these local
observables carry curvature-dependent corrections. Moreover, the compatibility
of the local construction of the S-matrix with the spacetime symmetries is also
discussed in detail.
| [
{
"created": "Mon, 19 Aug 2019 11:57:19 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Oct 2021 12:40:40 GMT",
"version": "v2"
}
] | 2021-10-29 | [
[
"Mandal",
"Susobhan",
""
],
[
"Banerjee",
"Subhashish",
""
]
] | The success of the S-matrix in quantum field theory in Minkowski spacetime naturally demands the extension of the construction of the S-matrix in a general curved spacetime in a covariant manner. However, it is well-known that a global description of the S-matrix may not exist in an arbitrary curved spacetime. Here, we give a local construction of S-matrix in quantum field theory in curved spacetime using Riemann-normal coordinates which mimics the methods, generally used in Minkowski spacetime. Using this construction, the scattering amplitudes and cross-sections of some scattering processes are computed in a generic curved spacetime. Further, it is also shown that these observables can be used to probe features of curved spacetime as these local observables carry curvature-dependent corrections. Moreover, the compatibility of the local construction of the S-matrix with the spacetime symmetries is also discussed in detail. |
hep-th/9610217 | Pierre Mathieu | P.Mathieu (Universit\'e Laval) | The quantum SKdV$_{1,4}$ equation at $c=3$ | harvmac, 6 pages (b) | Mod.Phys.Lett. A11 (1996) 2497-2502 | 10.1142/S0217732396002496 | LAVAL-PHY-96/21 | hep-th | null | At $c=3$, two of the three integrable quantum $N=2$ supersymmetric
Korteweg-de Vries equations become identical (SKdV$_1$ and SKdV$_4$). Quite
remarkably, all their conservation laws can be written in closed form, which
provides thus a simple constructive integrability proof.
| [
{
"created": "Mon, 28 Oct 1996 13:23:35 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Mathieu",
"P.",
"",
"Université Laval"
]
] | At $c=3$, two of the three integrable quantum $N=2$ supersymmetric Korteweg-de Vries equations become identical (SKdV$_1$ and SKdV$_4$). Quite remarkably, all their conservation laws can be written in closed form, which provides thus a simple constructive integrability proof. |
hep-th/0508183 | A. Melikyan | Ashok Das, A. Melikyan, Matsuo Sato | The algebra of flat currents for the string on AdS_5 x S^5 in the
light-cone gauge | 27 pages, references added, version published in JHEP | JHEP0511:015,2005 | 10.1088/1126-6708/2005/11/015 | null | hep-th | null | We continue the program initiated in hep-th/0411200 and calculate the algebra
of the flat currents for the string on AdS_5 x S^5 background in the light-cone
gauge with kappa-symmetry fixed. We find that the algebra has a closed form and
that the non-ultralocal terms come with a weight factor e^{\phi} that depends
on the radial AdS_5 coordinate. Based on results in two-dimensional sigma
models coupled to gravity via the dilaton field, this suggests that the algebra
of transition matrices in the present case is likely to be unambigous.
| [
{
"created": "Wed, 24 Aug 2005 17:54:17 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2005 00:06:21 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Das",
"Ashok",
""
],
[
"Melikyan",
"A.",
""
],
[
"Sato",
"Matsuo",
""
]
] | We continue the program initiated in hep-th/0411200 and calculate the algebra of the flat currents for the string on AdS_5 x S^5 background in the light-cone gauge with kappa-symmetry fixed. We find that the algebra has a closed form and that the non-ultralocal terms come with a weight factor e^{\phi} that depends on the radial AdS_5 coordinate. Based on results in two-dimensional sigma models coupled to gravity via the dilaton field, this suggests that the algebra of transition matrices in the present case is likely to be unambigous. |
1407.4569 | Sang Pyo Kim | Rong-Gen Cai (Beijing, Inst. Theor. Phys.), Sang Pyo Kim (Kunsan Natl
Univ and KITPC) | One-Loop Effective Action and Schwinger Effect in (Anti-) de Sitter
Space | 19 pages, 4 figures; references added; replaced by the version to be
published in JHEP | null | 10.1007/JHEP09(2014)072 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Schwinger mechanism by a uniform electric field in ${\rm dS}_2$
and ${\rm AdS}_2$ and the curvature effect on the Schwinger effect, and further
propose a thermal interpretation of the Schwinger formula in terms of the
Gibbons-Hawking temperature and the Unruh temperature for an accelerating
charge in ${\rm dS}_2$ and an analogous expression in ${\rm AdS}_2$. The exact
one-loop effective action is found in the proper-time integral in each space,
which is determined by the effective mass, the Maxwell scalar, and the scalar
curvature, and whose pole structure gives the imaginary part of the effective
action and the exact pair-production rate. The exact pair-production rate is
also given the thermal interpretation.
| [
{
"created": "Thu, 17 Jul 2014 06:10:01 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jul 2014 09:04:53 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Sep 2014 08:55:41 GMT",
"version": "v3"
}
] | 2015-06-22 | [
[
"Cai",
"Rong-Gen",
"",
"Beijing, Inst. Theor. Phys."
],
[
"Kim",
"Sang Pyo",
"",
"Kunsan Natl\n Univ and KITPC"
]
] | We study the Schwinger mechanism by a uniform electric field in ${\rm dS}_2$ and ${\rm AdS}_2$ and the curvature effect on the Schwinger effect, and further propose a thermal interpretation of the Schwinger formula in terms of the Gibbons-Hawking temperature and the Unruh temperature for an accelerating charge in ${\rm dS}_2$ and an analogous expression in ${\rm AdS}_2$. The exact one-loop effective action is found in the proper-time integral in each space, which is determined by the effective mass, the Maxwell scalar, and the scalar curvature, and whose pole structure gives the imaginary part of the effective action and the exact pair-production rate. The exact pair-production rate is also given the thermal interpretation. |
hep-th/0010035 | Dmitri Gitman | I.L. Buchbinder, D.M. Gitman, A.L. Shelepin | Discrete symmetries as automorphisms of the proper Poincare group | 33 pages, LaTex | Int.J.Theor.Phys. 41 (2002) 753-790 | null | null | hep-th math-ph math.MP | null | We present the consistent approach to finding the discrete transformations in
the representation spaces of the proper Poincar\'e group. To this end we use
the possibility to establish a correspondence between involutory automorphisms
of the proper Poincar\'e group and the discrete transformations. As a result,
we derive rules of the discrete transformations for arbitrary spin-tensor
fields without the use of relativistic wave equations. Besides, we construct
explicitly fields carrying representations of the extended Poincar\'e group,
which includes the discrete transformations as well.
| [
{
"created": "Thu, 5 Oct 2000 22:17:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Shelepin",
"A. L.",
""
]
] | We present the consistent approach to finding the discrete transformations in the representation spaces of the proper Poincar\'e group. To this end we use the possibility to establish a correspondence between involutory automorphisms of the proper Poincar\'e group and the discrete transformations. As a result, we derive rules of the discrete transformations for arbitrary spin-tensor fields without the use of relativistic wave equations. Besides, we construct explicitly fields carrying representations of the extended Poincar\'e group, which includes the discrete transformations as well. |
hep-th/0106044 | Zachary Guralnik | Z. Guralnik, R. Jackiw, S.Y. Pi, A.P. Polychronakos | Testing Non-commutative QED, Constructing Non-commutative MHD | 14 pages, LaTeX; minor corrections, references added | Phys.Lett. B517 (2001) 450-456 | 10.1016/S0370-2693(01)00986-8 | CTP-MIT-3149, BUHEP-01-11, RU-01-10-B | hep-th hep-ph physics.flu-dyn | null | The effect of non-commutativity on electromagnetic waves violates Lorentz
invariance: in the presence of a background magnetic induction field b, the
velocity for propagation transverse to b differs from c, while propagation
along b is unchanged. In principle, this allows a test by the Michelson-Morley
interference method. We also study non-commutativity in another context, by
constructing the theory describing a charged fluid in a strong magnetic field,
which forces the fluid particles into their lowest Landau level and renders the
fluid dynamics non-commutative, with a Moyal product determined by the
background magnetic field.
| [
{
"created": "Tue, 5 Jun 2001 19:02:13 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jun 2001 20:19:24 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Aug 2001 17:19:19 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Guralnik",
"Z.",
""
],
[
"Jackiw",
"R.",
""
],
[
"Pi",
"S. Y.",
""
],
[
"Polychronakos",
"A. P.",
""
]
] | The effect of non-commutativity on electromagnetic waves violates Lorentz invariance: in the presence of a background magnetic induction field b, the velocity for propagation transverse to b differs from c, while propagation along b is unchanged. In principle, this allows a test by the Michelson-Morley interference method. We also study non-commutativity in another context, by constructing the theory describing a charged fluid in a strong magnetic field, which forces the fluid particles into their lowest Landau level and renders the fluid dynamics non-commutative, with a Moyal product determined by the background magnetic field. |
hep-th/0410216 | Masao Ninomiya | Holger B. Nielsen and Masao Ninomiya | Dirac Sea for Bosons I -- Formulation of Negative Energy Sea for Bosons | 24 pages, 2 figures, Latex; added refereces, corrected typos | Prog.Theor.Phys. 113 (2005) 603-624 | 10.1143/PTP.113.603 | YITP-04-56, OIQP-04-3 | hep-th | null | It is proposed to make formulation of second quantizing a bosonic theory by
generalizing the method of filling the Dirac negative energy sea for fermions.
We interpret that the correct vacuum for the bosonic theory is obtained by
adding minus one boson to each single particle negative energy states while the
positive energy states are empty. The boson states are divided into two sectors
; the usual positive sector with positive and zero numbers of bosons and the
negative sector with negative numbers of bosons. Once it comes into the
negative sector it cannot return to the usual positive sector by ordinary
interaction due to a barrier. It is suggested to use as a playground model in
which the filling of empty fermion Dirac sea and the removal of boson from the
negative energy states are not yet performed. We put forward such a naive
vacuum world in the present paper. The successive paper will concern a CPT-like
Theorem in the naive vacuum world.
| [
{
"created": "Thu, 21 Oct 2004 08:14:10 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Nov 2004 05:32:18 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Nielsen",
"Holger B.",
""
],
[
"Ninomiya",
"Masao",
""
]
] | It is proposed to make formulation of second quantizing a bosonic theory by generalizing the method of filling the Dirac negative energy sea for fermions. We interpret that the correct vacuum for the bosonic theory is obtained by adding minus one boson to each single particle negative energy states while the positive energy states are empty. The boson states are divided into two sectors ; the usual positive sector with positive and zero numbers of bosons and the negative sector with negative numbers of bosons. Once it comes into the negative sector it cannot return to the usual positive sector by ordinary interaction due to a barrier. It is suggested to use as a playground model in which the filling of empty fermion Dirac sea and the removal of boson from the negative energy states are not yet performed. We put forward such a naive vacuum world in the present paper. The successive paper will concern a CPT-like Theorem in the naive vacuum world. |
0907.0106 | Alexander Popov | Alexander D. Popov | Hermitian-Yang-Mills equations and pseudo-holomorphic bundles on nearly
Kaehler and nearly Calabi-Yau twistor 6-manifolds | 31 pages; v.2: minor corrections | Nucl.Phys.B828:594-624,2010 | 10.1016/j.nuclphysb.2009.11.011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Hermitian-Yang-Mills (HYM) equations for gauge potentials on
a complex vector bundle E over an almost complex manifold X^6 which is the
twistor space of an oriented Riemannian manifold M^4. Each solution of the HYM
equations on such X^6 defines a pseudo-holomorphic structure on the bundle E.
It is shown that the pull-back to X^6 of any anti-self-dual gauge field on M^4
is a solution of the HYM equations on X^6. This correspondence allows us to
introduce new twistor actions for bosonic and supersymmetric Yang-Mills
theories. As examples of X^6 we consider homogeneous nearly Kaehler and nearly
Calabi-Yau manifolds which are twistor spaces of S^4, CP^2 and B_4, CB_2 (real
4-ball and complex 2-ball), respectively. Various explicit examples of
solutions to the HYM equations on these spaces are provided. Applications in
flux compactifications of heterotic strings are briefly discussed.
| [
{
"created": "Wed, 1 Jul 2009 09:51:02 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 2009 05:06:01 GMT",
"version": "v2"
}
] | 2010-01-06 | [
[
"Popov",
"Alexander D.",
""
]
] | We consider the Hermitian-Yang-Mills (HYM) equations for gauge potentials on a complex vector bundle E over an almost complex manifold X^6 which is the twistor space of an oriented Riemannian manifold M^4. Each solution of the HYM equations on such X^6 defines a pseudo-holomorphic structure on the bundle E. It is shown that the pull-back to X^6 of any anti-self-dual gauge field on M^4 is a solution of the HYM equations on X^6. This correspondence allows us to introduce new twistor actions for bosonic and supersymmetric Yang-Mills theories. As examples of X^6 we consider homogeneous nearly Kaehler and nearly Calabi-Yau manifolds which are twistor spaces of S^4, CP^2 and B_4, CB_2 (real 4-ball and complex 2-ball), respectively. Various explicit examples of solutions to the HYM equations on these spaces are provided. Applications in flux compactifications of heterotic strings are briefly discussed. |
2302.13129 | Amedeo Maria Favitta | Amedeo M. Favitta, Iver Brevik, Masud Chaichian | Axion electrodynamics: Green's functions, zero-point energy and optical
activity | To appear in the Annals of Physics | null | 10.1016/j.aop.2023.169396 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Starting from the theory of Axion Electrodynamics, we work out the axionic
modifications to the electromagnetic Casimir energy using the Green's function,
both when the axion field is initially assumed purely time-dependent and when
the axion field configuration is a static domain wall. For the first case it
means that the oscillating axion background is taken to resemble an axion fluid
at rest in a conventional Casimir setup with two infinite parallel conducting
plates, while in the second case we evaluate the radiation pressure acting on
an axion domain wall. We extend previous theories in order to include finite
temperatures. Various applications are discussed. 1. We review the theory of
Axion Electrodynamics and particularly the energy-momentum conservation in a
linear dielectric and magnetic material. We treat this last aspect by extending
former results by Brevik and Chaichian (2022) and Patkos (2022). 2. Adopting
the model of the oscillating axion background we discuss the axion-induced
modifications to the Casimir force between two parallel plates by using a
Green's function approach. 3. We calculate the radiation pressure acting on an
axion domain wall at finite temperature T. Our results for an oscillating axion
field and a domain wall are also useful for condensed matter physics, where
"axionic topological insulators" interact with the electromagnetic field with a
Chern-Simons interaction, like the one in Axion Electrodynamics, and there are
experimental systems analogous to time-dependent axion fields and domain walls
as the ones showed by Jiang, Q. D., \& Wilczek, F. (2019) and Fukushima et al.
(2019). 4. We compare our results, where we assume time-dependent or
space-dependent axion configurations, with the discussion of the optical
activity of Axion Electrodynamics by Sikivie (2021) and Carrol et al. (1990).
| [
{
"created": "Sat, 25 Feb 2023 18:02:35 GMT",
"version": "v1"
},
{
"created": "Fri, 26 May 2023 14:26:08 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Jun 2023 11:30:20 GMT",
"version": "v3"
}
] | 2023-08-09 | [
[
"Favitta",
"Amedeo M.",
""
],
[
"Brevik",
"Iver",
""
],
[
"Chaichian",
"Masud",
""
]
] | Starting from the theory of Axion Electrodynamics, we work out the axionic modifications to the electromagnetic Casimir energy using the Green's function, both when the axion field is initially assumed purely time-dependent and when the axion field configuration is a static domain wall. For the first case it means that the oscillating axion background is taken to resemble an axion fluid at rest in a conventional Casimir setup with two infinite parallel conducting plates, while in the second case we evaluate the radiation pressure acting on an axion domain wall. We extend previous theories in order to include finite temperatures. Various applications are discussed. 1. We review the theory of Axion Electrodynamics and particularly the energy-momentum conservation in a linear dielectric and magnetic material. We treat this last aspect by extending former results by Brevik and Chaichian (2022) and Patkos (2022). 2. Adopting the model of the oscillating axion background we discuss the axion-induced modifications to the Casimir force between two parallel plates by using a Green's function approach. 3. We calculate the radiation pressure acting on an axion domain wall at finite temperature T. Our results for an oscillating axion field and a domain wall are also useful for condensed matter physics, where "axionic topological insulators" interact with the electromagnetic field with a Chern-Simons interaction, like the one in Axion Electrodynamics, and there are experimental systems analogous to time-dependent axion fields and domain walls as the ones showed by Jiang, Q. D., \& Wilczek, F. (2019) and Fukushima et al. (2019). 4. We compare our results, where we assume time-dependent or space-dependent axion configurations, with the discussion of the optical activity of Axion Electrodynamics by Sikivie (2021) and Carrol et al. (1990). |
2407.16039 | Ashton Lowenstein | Ashton Lowenstein | Exact Expressions For Infinitely Many Weil-Petersson Volumes | 7 pages | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Weil-Petersson volumes are the volumes of the moduli spaces of bordered
Riemann surfaces and have played an important role in the relationship between
two-dimensional quantum gravity and algebraic geometry. In the last couple
years progress has been made to understand their role in the context of matrix
models, where it is possible to define a generalization of the volumes in terms
of an infinite set of coupling constants $t_k$. Using a recent open string
matrix model construction we calculate the generalized Weil-Petersson volumes
for fixed genus $g = 0,1$ and an arbitrary number of boundaries $n$. Both
results are expressed in terms of the perturbative expansion of the solution to
the string equation of the matrix model in the closed string sector. The
formalism has the added benefit of applying to type 0A superstring matrix
models with nonzero Ramond-Ramond flux.
| [
{
"created": "Mon, 22 Jul 2024 20:33:21 GMT",
"version": "v1"
}
] | 2024-07-24 | [
[
"Lowenstein",
"Ashton",
""
]
] | Weil-Petersson volumes are the volumes of the moduli spaces of bordered Riemann surfaces and have played an important role in the relationship between two-dimensional quantum gravity and algebraic geometry. In the last couple years progress has been made to understand their role in the context of matrix models, where it is possible to define a generalization of the volumes in terms of an infinite set of coupling constants $t_k$. Using a recent open string matrix model construction we calculate the generalized Weil-Petersson volumes for fixed genus $g = 0,1$ and an arbitrary number of boundaries $n$. Both results are expressed in terms of the perturbative expansion of the solution to the string equation of the matrix model in the closed string sector. The formalism has the added benefit of applying to type 0A superstring matrix models with nonzero Ramond-Ramond flux. |
hep-th/9409141 | Timothy Hollowood | Jonathan M. Evans and Timothy J. Hollowood | The Exact Mass-Gap of the Supersymmetric O(N) Sigma Model | Plain TeX (macro included), CERN-TH.7426/94, SWAT/93-94/39 | Phys.Lett. B343 (1995) 189-197 | 10.1016/0370-2693(94)01477-T | null | hep-th | null | A formula for the mass-gap of the supersymmetric O($N$) sigma model ($N>4$)
in two dimensions is derived: $m/\Lambda_{\overline{\rm
MS}}=2^{2\Delta}\sin(\pi\Delta)/(\pi\Delta)$, where $\Delta=1/(N-2)$ and $m$ is
the mass of the fundamental vector particle in the theory. This result is
obtained by comparing two expressions for the free-energy density in the
presence of a coupling to a conserved charge; one expression is computed from
the exact S-matrix of Shankar and Witten via the the thermodynamic Bethe ansatz
and the other is computed using conventional perturbation theory. These
calculations provide a stringent test of the S-matrix, showing that it
correctly reproduces the universal part of the beta-function and resolving the
problem of CDD ambiguities.
| [
{
"created": "Fri, 23 Sep 1994 09:50:46 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Evans",
"Jonathan M.",
""
],
[
"Hollowood",
"Timothy J.",
""
]
] | A formula for the mass-gap of the supersymmetric O($N$) sigma model ($N>4$) in two dimensions is derived: $m/\Lambda_{\overline{\rm MS}}=2^{2\Delta}\sin(\pi\Delta)/(\pi\Delta)$, where $\Delta=1/(N-2)$ and $m$ is the mass of the fundamental vector particle in the theory. This result is obtained by comparing two expressions for the free-energy density in the presence of a coupling to a conserved charge; one expression is computed from the exact S-matrix of Shankar and Witten via the the thermodynamic Bethe ansatz and the other is computed using conventional perturbation theory. These calculations provide a stringent test of the S-matrix, showing that it correctly reproduces the universal part of the beta-function and resolving the problem of CDD ambiguities. |
hep-th/0602206 | Pietro Menotti | Pietro Menotti, Erik Tonni | Liouville field theory with heavy charges. I. The pseudosphere | LaTeX 33 pages, 7 figures | JHEP0606:020,2006 | 10.1088/1126-6708/2006/06/020 | IFUP-TH/2006 - 6 | hep-th | null | We work out the perturbative expansion of quantum Liouville theory on the
pseudosphere starting from the semiclassical limit of a background generated by
heavy charges. By solving perturbatively the Riemann-Hilbert problem for the
Poincare' accessory parameters, we give in closed form the exact Green function
on the background generated by one finite charge. Such a Green function is used
to compute the quantum determinants i.e. the one loop corrections to known
semiclassical limits thus providing the resummation of infinite classes of
standard perturbative graphs. The results obtained for the one point function
are compared with the bootstrap formula while those for the two point function
are compared with the existing double perturbative expansion and with a
degenerate case, finding complete agreement.
| [
{
"created": "Tue, 21 Feb 2006 09:44:12 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Menotti",
"Pietro",
""
],
[
"Tonni",
"Erik",
""
]
] | We work out the perturbative expansion of quantum Liouville theory on the pseudosphere starting from the semiclassical limit of a background generated by heavy charges. By solving perturbatively the Riemann-Hilbert problem for the Poincare' accessory parameters, we give in closed form the exact Green function on the background generated by one finite charge. Such a Green function is used to compute the quantum determinants i.e. the one loop corrections to known semiclassical limits thus providing the resummation of infinite classes of standard perturbative graphs. The results obtained for the one point function are compared with the bootstrap formula while those for the two point function are compared with the existing double perturbative expansion and with a degenerate case, finding complete agreement. |
2109.13381 | Xianlong Liu | Antal Jevicki, Xianlong Liu, Junggi Yoon, Junjie Zheng | Dynamical Symmetry and the Thermofield State at Large $N$ | Appendix C added; matches published version | Universe. 2022; 8(2):114 | 10.3390/universe8020114 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discus Thermofield Double QFT at real time, in the large $N$ limit. First,
we establish a (dynamical) symmetry which we argue holds in general on the real
time portion of the Schwinger-Kelydish contour. At large $N$ this symmetry is
seen to generate a one parameter degeneracy of stationary collective solutions.
The construction is explicitly worked out on the example of $O(N)$ vector QFT.
As a nontrivial application we describe construction of the corresponding
(large $N$) Thermofield Double State in real time collective formalism.
| [
{
"created": "Mon, 27 Sep 2021 22:58:26 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Feb 2022 04:24:12 GMT",
"version": "v2"
}
] | 2022-02-22 | [
[
"Jevicki",
"Antal",
""
],
[
"Liu",
"Xianlong",
""
],
[
"Yoon",
"Junggi",
""
],
[
"Zheng",
"Junjie",
""
]
] | We discus Thermofield Double QFT at real time, in the large $N$ limit. First, we establish a (dynamical) symmetry which we argue holds in general on the real time portion of the Schwinger-Kelydish contour. At large $N$ this symmetry is seen to generate a one parameter degeneracy of stationary collective solutions. The construction is explicitly worked out on the example of $O(N)$ vector QFT. As a nontrivial application we describe construction of the corresponding (large $N$) Thermofield Double State in real time collective formalism. |
1101.3829 | Jos\'e A. Zapata | Homero G. Diaz-Marin and Jose A. Zapata | Effective theories of connections and curvature: abelian case | 39 pages | null | 10.1063/1.4705391 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a notion of measuring scales for quantum abelian gauge systems.
At each measuring scale a finite dimensional affine space stores information
about the evaluation of the curvature on a discrete family of surfaces. Affine
maps from the spaces assigned to finer scales to those assigned to coarser
scales play the role of coarse graining maps. This structure induces a
continuum limit space which contains information regarding curvature evaluation
on all piecewise linear surfaces with boundary. The evaluation of holonomies
along loops is also encoded in the spaces introduced here; thus, our framework
is closely related to loop quantization and it allows us to discuss effective
theories in a sensible way. We develop basic elements of measure theory on the
introduced spaces which are essential for the applicability of the framework to
the construction of quantum abelian gauge theories.
| [
{
"created": "Thu, 20 Jan 2011 06:38:47 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jun 2011 17:53:09 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Diaz-Marin",
"Homero G.",
""
],
[
"Zapata",
"Jose A.",
""
]
] | We introduce a notion of measuring scales for quantum abelian gauge systems. At each measuring scale a finite dimensional affine space stores information about the evaluation of the curvature on a discrete family of surfaces. Affine maps from the spaces assigned to finer scales to those assigned to coarser scales play the role of coarse graining maps. This structure induces a continuum limit space which contains information regarding curvature evaluation on all piecewise linear surfaces with boundary. The evaluation of holonomies along loops is also encoded in the spaces introduced here; thus, our framework is closely related to loop quantization and it allows us to discuss effective theories in a sensible way. We develop basic elements of measure theory on the introduced spaces which are essential for the applicability of the framework to the construction of quantum abelian gauge theories. |
hep-th/9410096 | J. W. Goodison | J.W.Goodison and D.J.Toms | The Canonical Partition Function for Quons | 12 pages RevTex, NCL94-TP5 ( To be published in Physics Letters A ) | null | 10.1016/0375-9601(94)90423-5 | null | hep-th | null | We calculate the canonical partition function $Z_N$ for a system of $N$ free
particles obeying so-called `quon' statistics where $q$ is real and satisfies
$|q|<1$ by using simple counting arguments. We observe that this system is
afflicted by the Gibbs paradox and that $Z_N$ is independent of $q$. We
demonstrate that such a system of particles obeys the ideal gas law and that
the internal energy $U$ ( and hence the specific heat capacity $C_V$ ) is
identical to that of a system of $N$ free particles obeying Maxwell-Boltzmann
statistics.
| [
{
"created": "Thu, 13 Oct 1994 14:49:04 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Goodison",
"J. W.",
""
],
[
"Toms",
"D. J.",
""
]
] | We calculate the canonical partition function $Z_N$ for a system of $N$ free particles obeying so-called `quon' statistics where $q$ is real and satisfies $|q|<1$ by using simple counting arguments. We observe that this system is afflicted by the Gibbs paradox and that $Z_N$ is independent of $q$. We demonstrate that such a system of particles obeys the ideal gas law and that the internal energy $U$ ( and hence the specific heat capacity $C_V$ ) is identical to that of a system of $N$ free particles obeying Maxwell-Boltzmann statistics. |
hep-th/9403165 | Valeri Dvoeglazov | Valeri V. Dvoeglazov and Antonio del Sol Mesa | Notes on Oscillator-Like Interactions of Various Spin Relativistic
Particles | LaTeX file, 12 pp. Talk given at the Second Workshop "Osciladores
Arm\'onicos". Cocoyoc, M\'exico, March 23-25, 1994. To be published in NASA
Conference Proceedings. Preprint IFUNAM FT-94-44, EFUAZ-94-01 | NASA Conference Pub. 3286 (1994) 333-340 | null | null | hep-th hep-ph | null | The equations for various spin particles with oscillator-like interactions
are discussed in this talk. Contents: 1. Comment on "The Klein-Gordon
Oscillator"; 2. The Dirac oscillator in quaternion form; 3. The Dirac-Dowker
oscillator; 4. The Weinberg oscillator; 5. Note on the two-body Dirac
oscillator.
| [
{
"created": "Mon, 28 Mar 1994 01:21:14 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 1994 20:30:45 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Dvoeglazov",
"Valeri V.",
""
],
[
"Mesa",
"Antonio del Sol",
""
]
] | The equations for various spin particles with oscillator-like interactions are discussed in this talk. Contents: 1. Comment on "The Klein-Gordon Oscillator"; 2. The Dirac oscillator in quaternion form; 3. The Dirac-Dowker oscillator; 4. The Weinberg oscillator; 5. Note on the two-body Dirac oscillator. |
1307.3745 | Andrea Campoleoni | Andrea Campoleoni, Stefan Fredenhagen | On the higher-spin charges of conical defects | 7 pages | null | 10.1016/j.physletb.2013.08.012 | AEI-2013-224 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The conical defect solutions in higher-spin gauge theories on 2+1 dimensional
space-times with AdS-asymptotics are conjectured to correspond to certain
primary fields in the dual conformal field theory on the boundary. In this note
we prove that indeed all higher-spin charges match.
| [
{
"created": "Sun, 14 Jul 2013 14:56:12 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Campoleoni",
"Andrea",
""
],
[
"Fredenhagen",
"Stefan",
""
]
] | The conical defect solutions in higher-spin gauge theories on 2+1 dimensional space-times with AdS-asymptotics are conjectured to correspond to certain primary fields in the dual conformal field theory on the boundary. In this note we prove that indeed all higher-spin charges match. |
hep-th/0405208 | Badis Ydri | Badis Ydri | Noncommutative U(1) Gauge Theory As a Non-Linear Sigma Model | 8 pages | Mod.Phys.Lett. 19 (2004) 2205-2213 | 10.1142/S0217732304015531 | null | hep-th | null | Noncommutative U(1) gauge theory in 4-dimensions is shown to be equivalent in
some scaling limit to an ordinary non-linear sigma model in 2-dimensions . The
model in this regime is solvable and the corresponding exact beta function is
found. We also show that classical U(n) gauge theory on
{R}^{d-2}{\times}{R}^2_{\theta} can be approximated by a sequence of ordinary
(d-2)-dimensional Georgi-Glashow models with gauge groups U(n(L+1)) where L+1
is the matrix size of the regularized noncommutative plane {R}^2_{\theta}.
| [
{
"created": "Mon, 24 May 2004 14:58:23 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2004 12:12:32 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Ydri",
"Badis",
""
]
] | Noncommutative U(1) gauge theory in 4-dimensions is shown to be equivalent in some scaling limit to an ordinary non-linear sigma model in 2-dimensions . The model in this regime is solvable and the corresponding exact beta function is found. We also show that classical U(n) gauge theory on {R}^{d-2}{\times}{R}^2_{\theta} can be approximated by a sequence of ordinary (d-2)-dimensional Georgi-Glashow models with gauge groups U(n(L+1)) where L+1 is the matrix size of the regularized noncommutative plane {R}^2_{\theta}. |
hep-th/0508145 | Emily Leeper | Emily Leeper, Kazuya Koyama and Roy Maartens (Portsmouth) | Regular collision of dilatonic inflating branes | 8 pages, 7 figures; typos corrected and clarifications added -
version to appear in Phys Rev D | Phys.Rev. D73 (2006) 043506 | 10.1103/PhysRevD.73.043506 | null | hep-th gr-qc | null | We demonstrate that a two brane system with a bulk scalar field driving
power-law inflation on the branes has an instability in the radion. We solve
for the resulting trajectory of the brane, and find that the instability can
lead to collision. Brane quantities such as the scale factor are shown to be
regular at this collision. In addition we describe the system using a low
energy expansion. The low energy expansion accurately reproduces the known
exact solution, but also identifies an alternative solution for the bulk metric
and brane trajectory.
| [
{
"created": "Fri, 19 Aug 2005 20:30:07 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jan 2006 12:44:56 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Leeper",
"Emily",
"",
"Portsmouth"
],
[
"Koyama",
"Kazuya",
"",
"Portsmouth"
],
[
"Maartens",
"Roy",
"",
"Portsmouth"
]
] | We demonstrate that a two brane system with a bulk scalar field driving power-law inflation on the branes has an instability in the radion. We solve for the resulting trajectory of the brane, and find that the instability can lead to collision. Brane quantities such as the scale factor are shown to be regular at this collision. In addition we describe the system using a low energy expansion. The low energy expansion accurately reproduces the known exact solution, but also identifies an alternative solution for the bulk metric and brane trajectory. |
2006.13280 | Lorenz Eberhardt | Lorenz Eberhardt | Superconformal symmetry and representations | 36 pages; This is the writeup of the lectures given at the Winter
School "YRISW 2020" to appear in a special issue of JPhysA | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give an introduction to conformal and superconformal algebras and their
representations in various dimensions. Special emphasis is put on 4d
$\mathcal{N}=2$ superconformal symmetry. This is the writeup of the lectures
given at the Winter School "YRISW 2020" to appear in a special issue of JPhysA.
| [
{
"created": "Tue, 23 Jun 2020 19:21:47 GMT",
"version": "v1"
}
] | 2020-06-25 | [
[
"Eberhardt",
"Lorenz",
""
]
] | We give an introduction to conformal and superconformal algebras and their representations in various dimensions. Special emphasis is put on 4d $\mathcal{N}=2$ superconformal symmetry. This is the writeup of the lectures given at the Winter School "YRISW 2020" to appear in a special issue of JPhysA. |
hep-th/0308082 | Niall MacKay | N. MacKay and B. Short | Bulk and boundary $g_2$ factorized S-matrices | 7 pages | J.Phys. A37 (2004) L13-L18 | 10.1088/0305-4470/37/1/L03 | null | hep-th math.QA | null | We investigate the $g_2$-invariant bulk (1+1D, factorized) $S$-matrix
constructed by Ogievetsky, using the bootstrap on the three-point coupling of
the vector multiplet to constrain its CDD ambiguity. We then construct the
corresponding boundary $S$-matrix, demonstrating it to be consistent with
$Y(g_2,a_1\times a_1)$ symmetry.
| [
{
"created": "Wed, 13 Aug 2003 14:49:27 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"MacKay",
"N.",
""
],
[
"Short",
"B.",
""
]
] | We investigate the $g_2$-invariant bulk (1+1D, factorized) $S$-matrix constructed by Ogievetsky, using the bootstrap on the three-point coupling of the vector multiplet to constrain its CDD ambiguity. We then construct the corresponding boundary $S$-matrix, demonstrating it to be consistent with $Y(g_2,a_1\times a_1)$ symmetry. |
hep-th/0210124 | Damiano Anselmi | Damiano Anselmi | Inequalities for trace anomalies, length of the RG flow, distance
between the fixed points and irreversibility | 24 pages, 3 figures; expanded intro, improved presentation,
references added - CQG | Class.Quant.Grav. 21 (2004) 29-50 | 10.1088/0264-9381/21/1/003 | IFUP-TH/02-38 | hep-th cond-mat.stat-mech | null | I discuss several issues about the irreversibility of the RG flow and the
trace anomalies c, a and a'. First I argue that in quantum field theory: i) the
scheme-invariant area Delta(a') of the graph of the effective beta function
between the fixed points defines the length of the RG flow; ii) the minimum of
Delta(a') in the space of flows connecting the same UV and IR fixed points
defines the (oriented) distance between the fixed points; iii) in even
dimensions, the distance between the fixed points is equal to
Delta(a)=a_UV-a_IR. In even dimensions, these statements imply the inequalities
0 =< Delta(a)=< Delta(a') and therefore the irreversibility of the RG flow.
Another consequence is the inequality a =< c for free scalars and fermions (but
not vectors), which can be checked explicitly. Secondly, I elaborate a more
general axiomatic set-up where irreversibility is defined as the statement that
there exist no pairs of non-trivial flows connecting interchanged UV and IR
fixed points. The axioms, based on the notions of length of the flow, oriented
distance between the fixed points and certain "oriented-triangle inequalities",
imply the irreversibility of the RG flow without a global a function. I
conjecture that the RG flow is irreversible also in odd dimensions (without a
global a function). In support of this, I check the axioms of irreversibility
in a class of d=3 theories where the RG flow is integrable at each order of the
large N expansion.
| [
{
"created": "Mon, 14 Oct 2002 11:53:43 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Oct 2003 16:21:23 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Anselmi",
"Damiano",
""
]
] | I discuss several issues about the irreversibility of the RG flow and the trace anomalies c, a and a'. First I argue that in quantum field theory: i) the scheme-invariant area Delta(a') of the graph of the effective beta function between the fixed points defines the length of the RG flow; ii) the minimum of Delta(a') in the space of flows connecting the same UV and IR fixed points defines the (oriented) distance between the fixed points; iii) in even dimensions, the distance between the fixed points is equal to Delta(a)=a_UV-a_IR. In even dimensions, these statements imply the inequalities 0 =< Delta(a)=< Delta(a') and therefore the irreversibility of the RG flow. Another consequence is the inequality a =< c for free scalars and fermions (but not vectors), which can be checked explicitly. Secondly, I elaborate a more general axiomatic set-up where irreversibility is defined as the statement that there exist no pairs of non-trivial flows connecting interchanged UV and IR fixed points. The axioms, based on the notions of length of the flow, oriented distance between the fixed points and certain "oriented-triangle inequalities", imply the irreversibility of the RG flow without a global a function. I conjecture that the RG flow is irreversible also in odd dimensions (without a global a function). In support of this, I check the axioms of irreversibility in a class of d=3 theories where the RG flow is integrable at each order of the large N expansion. |
hep-th/9803118 | Rafael I. Nepomechie | Anastasia Doikou and Rafael I. Nepomechie | Bulk and Boundary S Matrices for the SU(N) Chain | 28 pages, LaTeX, 5 LaTeX figures | Nucl.Phys. B521 (1998) 547-572 | 10.1016/S0550-3213(98)00239-9 | UMTG-203 | hep-th nlin.SI solv-int | null | We consider both closed and open integrable antiferromagnetic chains
constructed with the SU(N)-invariant R matrix. For the closed chain, we extend
the analyses of Sutherland and Kulish-Reshetikhin by considering also complex
``string'' solutions of the Bethe Ansatz equations. Such solutions are
essential to describe general multiparticle excited states. We also explicitly
determine the SU(N) quantum numbers of the states. In particular, the model has
particle-like excitations in the fundamental representations [k] of SU(N), with
k = 1, ..., N-1. We directly compute the complete two-particle S matrices for
the cases [1] X [1] and [1] X [N-1]. For the open chain with diagonal boundary
fields, we show that the transfer matrix has the symmetry SU(l) X SU(N-l) X
U(1), as well as a new ``duality'' symmetry which interchanges l and N - l.
With the help of these symmetries, we compute by means of the Bethe Ansatz for
particles of types [1] and [N-1] the corresponding boundary S matrices.
| [
{
"created": "Fri, 13 Mar 1998 17:38:35 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Doikou",
"Anastasia",
""
],
[
"Nepomechie",
"Rafael I.",
""
]
] | We consider both closed and open integrable antiferromagnetic chains constructed with the SU(N)-invariant R matrix. For the closed chain, we extend the analyses of Sutherland and Kulish-Reshetikhin by considering also complex ``string'' solutions of the Bethe Ansatz equations. Such solutions are essential to describe general multiparticle excited states. We also explicitly determine the SU(N) quantum numbers of the states. In particular, the model has particle-like excitations in the fundamental representations [k] of SU(N), with k = 1, ..., N-1. We directly compute the complete two-particle S matrices for the cases [1] X [1] and [1] X [N-1]. For the open chain with diagonal boundary fields, we show that the transfer matrix has the symmetry SU(l) X SU(N-l) X U(1), as well as a new ``duality'' symmetry which interchanges l and N - l. With the help of these symmetries, we compute by means of the Bethe Ansatz for particles of types [1] and [N-1] the corresponding boundary S matrices. |
1410.7234 | Yan Peng | Yan Peng and Yunqi Liu | A general holographic metal/superconductor phase transition model | 16 pages, 8 figures | JHEP02(2015)082 | 10.1007/JHEP02(2015)082 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the scalar condensation of a general holographic superconductor
model in AdS black hole background away from the probe limit. We find the model
parameters together with the scalar mass and backreaction can determine the
order of phase transitions completely. In addition, we observe two types of
discontinuities of the scalar operator in the case of first order phase
transitions. We analyze in detail the effects of the scalar mass and
backreaction on the formation of discontinuities and arrive at an approximate
relation between the threshold model parameters. Furthermore, we obtain
superconductor solutions corresponding to higher energy states and examine the
stability of these superconductor solutions.
| [
{
"created": "Mon, 27 Oct 2014 13:47:11 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2015 18:35:24 GMT",
"version": "v2"
}
] | 2015-03-04 | [
[
"Peng",
"Yan",
""
],
[
"Liu",
"Yunqi",
""
]
] | We study the scalar condensation of a general holographic superconductor model in AdS black hole background away from the probe limit. We find the model parameters together with the scalar mass and backreaction can determine the order of phase transitions completely. In addition, we observe two types of discontinuities of the scalar operator in the case of first order phase transitions. We analyze in detail the effects of the scalar mass and backreaction on the formation of discontinuities and arrive at an approximate relation between the threshold model parameters. Furthermore, we obtain superconductor solutions corresponding to higher energy states and examine the stability of these superconductor solutions. |
2009.14210 | Max Riegler | Martin Ammon, Michel Pannier and Max Riegler | Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity | 29 pages, 4 figures; v2: modified the title, added references as well
as a Mathematica file containing the multiplication rules of
$\mathfrak{ihs}(\mathcal{M}^2,\mathcal{S})$ as an ancillary file | null | 10.1088/1751-8121/abdbc6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we construct a novel associative algebra and use it to define a
theory of higher-spin gravity in (2+1)-dimensional asymptotically flat
spacetimes. Our construction is based on a quotient of the universal enveloping
algebra (UEA) of $\mathfrak{isl}(2,\mathbb{R})$ with respect to the ideal
generated by its Casimir elements, the mass squared $\mathcal{M}^2$ and the
three-dimensional analogue of the square of the Pauli-Lubanski vector
$\mathcal{S}$ and propose to call the resulting associative algebra
$\mathfrak{ihs}(\mathcal{M}^2,\mathcal{S})$. We provide a definition of its
generators and even though we are not yet able to provide the complete set of
multiplication rules of this algebra our analysis allows us to study many
interesting and relevant sub-structures of
$\mathfrak{ihs}(\mathcal{M}^2,\mathcal{S})$. We then show how to consistently
couple a scalar field to an $\mathfrak{ihs}(\mathcal{M}^2,\mathcal{S})$
higher-spin gauge theory.
| [
{
"created": "Tue, 29 Sep 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2021 21:20:55 GMT",
"version": "v2"
}
] | 2021-02-01 | [
[
"Ammon",
"Martin",
""
],
[
"Pannier",
"Michel",
""
],
[
"Riegler",
"Max",
""
]
] | In this work we construct a novel associative algebra and use it to define a theory of higher-spin gravity in (2+1)-dimensional asymptotically flat spacetimes. Our construction is based on a quotient of the universal enveloping algebra (UEA) of $\mathfrak{isl}(2,\mathbb{R})$ with respect to the ideal generated by its Casimir elements, the mass squared $\mathcal{M}^2$ and the three-dimensional analogue of the square of the Pauli-Lubanski vector $\mathcal{S}$ and propose to call the resulting associative algebra $\mathfrak{ihs}(\mathcal{M}^2,\mathcal{S})$. We provide a definition of its generators and even though we are not yet able to provide the complete set of multiplication rules of this algebra our analysis allows us to study many interesting and relevant sub-structures of $\mathfrak{ihs}(\mathcal{M}^2,\mathcal{S})$. We then show how to consistently couple a scalar field to an $\mathfrak{ihs}(\mathcal{M}^2,\mathcal{S})$ higher-spin gauge theory. |
hep-th/0310268 | Oleg Zaslavskii | O. B. Zaslavskii | Two-dimensional quantum-corrected black hole in a finite size cavity | 21 pages. In v.2 misprints corrected. To appear in Phys. Rev. D | Phys.Rev. D69 (2004) 044008 | 10.1103/PhysRevD.69.044008 | ESI-1402 | hep-th gr-qc | null | We consider the gravitation-dilaton theory (not necessarily exactly
solvable), whose potentials represent a generic linear combination of an
exponential and linear functions of the dilaton. A black hole, arising in such
theories, is supposed to be enclosed in a cavity, where it attains thermal
equilibrium, whereas outside the cavity the field is in the Boulware state. We
calculate quantum corrections to the Hawking temperature $T_{H}$, with the
contribution from the boundary taken into account. Vacuum polarization outside
the shell tend to cool the system. We find that, for the shell to be in the
thermal equilibrium, it cannot be placed too close to the horizon. The quantum
corrections to the mass due to vacuum polarization vanish in spite of non-zero
quantum stresses. We discuss also the canonical boundary conditions and show
that accounting for the finiteness of the system plays a crucial role in some
theories (e.g., CGHS), where it enables to define the stable canonical
ensemble, whereas consideration in an infinite space would predict instability.
| [
{
"created": "Wed, 29 Oct 2003 17:12:59 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Dec 2003 11:29:16 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Zaslavskii",
"O. B.",
""
]
] | We consider the gravitation-dilaton theory (not necessarily exactly solvable), whose potentials represent a generic linear combination of an exponential and linear functions of the dilaton. A black hole, arising in such theories, is supposed to be enclosed in a cavity, where it attains thermal equilibrium, whereas outside the cavity the field is in the Boulware state. We calculate quantum corrections to the Hawking temperature $T_{H}$, with the contribution from the boundary taken into account. Vacuum polarization outside the shell tend to cool the system. We find that, for the shell to be in the thermal equilibrium, it cannot be placed too close to the horizon. The quantum corrections to the mass due to vacuum polarization vanish in spite of non-zero quantum stresses. We discuss also the canonical boundary conditions and show that accounting for the finiteness of the system plays a crucial role in some theories (e.g., CGHS), where it enables to define the stable canonical ensemble, whereas consideration in an infinite space would predict instability. |
1804.06741 | Rob Klabbers | Rob Klabbers | Quantum spectral curve for the $\eta$-deformed AdS$_5 \times $S$^5$
superstring | 205 pages, lots of figures. PhD thesis, partially based on
arXiv:1708.02894. Contains abstract in German. v2: updated references and
fixed typos | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis we discuss how one can derive the quantum spectral curve for
the $\eta$-deformed AdS$_5 \times S^5$ superstring, an integrable deformation
of the AdS$_5 \times $S$^5$ superstring with quantum group symmetry. This model
can be viewed as a trigonometric version of the AdS$_5 \times $S$^5$
superstring, like the Heisenberg xxz spin chain is a trigonometric version of
the xxx spin chain. Our derivation starts from the ground-state thermodynamic
Bethe ansatz equations and discusses the construction of both the undeformed
and the $\eta$-deformed quantum spectral curve. We reformulate it first as an
analytic $Y$-system, and map this to an analytic $T$-system which upon suitable
gauge fixing leads to a $\mathbf{P}\mu$ system, the quantum spectral curve. We
then discuss constraints on the asymptotics of this system to single out
particular excited states. At the spectral level the $\eta$-deformed string and
its quantum spectral curve interpolate between the AdS$_5 \times $S$^5$
superstring and a superstring on "mirror" AdS$_5 \times $S$^5$, reflecting a
more general relationship between the spectral and thermodynamic data of the
$\eta$-deformed string. The thesis is set up such that it simultaneously
reviews the development of the undeformed AdS$_5 \times $S$^5$ quantum spectral
curve.
| [
{
"created": "Wed, 18 Apr 2018 14:07:36 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Nov 2018 11:02:35 GMT",
"version": "v2"
}
] | 2018-11-21 | [
[
"Klabbers",
"Rob",
""
]
] | In this thesis we discuss how one can derive the quantum spectral curve for the $\eta$-deformed AdS$_5 \times S^5$ superstring, an integrable deformation of the AdS$_5 \times $S$^5$ superstring with quantum group symmetry. This model can be viewed as a trigonometric version of the AdS$_5 \times $S$^5$ superstring, like the Heisenberg xxz spin chain is a trigonometric version of the xxx spin chain. Our derivation starts from the ground-state thermodynamic Bethe ansatz equations and discusses the construction of both the undeformed and the $\eta$-deformed quantum spectral curve. We reformulate it first as an analytic $Y$-system, and map this to an analytic $T$-system which upon suitable gauge fixing leads to a $\mathbf{P}\mu$ system, the quantum spectral curve. We then discuss constraints on the asymptotics of this system to single out particular excited states. At the spectral level the $\eta$-deformed string and its quantum spectral curve interpolate between the AdS$_5 \times $S$^5$ superstring and a superstring on "mirror" AdS$_5 \times $S$^5$, reflecting a more general relationship between the spectral and thermodynamic data of the $\eta$-deformed string. The thesis is set up such that it simultaneously reviews the development of the undeformed AdS$_5 \times $S$^5$ quantum spectral curve. |
1012.3594 | Julien Cortier | Julien Cortier | On the structure of the ergosurface of Pomeransky-Senkov black rings | 14 pages, 1 figure | null | 10.1007/s00023-011-0149-5 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the properties of the ergosurface of the Pomeransky-Senkov black
rings, and show that it splits into an "inner"' and an "outer" region. As for
the singular set, the topology of the "outer ergosurface" depends upon the
value of parameters.
| [
{
"created": "Thu, 16 Dec 2010 13:27:29 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Cortier",
"Julien",
""
]
] | We study the properties of the ergosurface of the Pomeransky-Senkov black rings, and show that it splits into an "inner"' and an "outer" region. As for the singular set, the topology of the "outer ergosurface" depends upon the value of parameters. |
2009.11143 | Koichi Nagasaki | Koichi Nagasaki | D5-brane on topological black holes | 18 pages, 15 figures, some comment added in Introduction | Prog Theor Exp Phys (2021) | 10.1093/ptep/ptaa189 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Our interest is to find the difference of the behavior between black holes
with three different topologies. These black holes have spherical, hyperbolic
and toroidal structures. We study in this paper the behavior of a probe
D5-branes in this nontrivial black hole spacetime. We would like to find the
solution what describe the embedding of probe D5-brane. This system realizes an
"interface" solution, a kind of non-local operators, on the boundary gauge
theories. These operators are important to deepen understanding of AdS/CFT
correspondence.
| [
{
"created": "Wed, 23 Sep 2020 13:40:00 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Dec 2020 12:31:06 GMT",
"version": "v2"
}
] | 2021-02-17 | [
[
"Nagasaki",
"Koichi",
""
]
] | Our interest is to find the difference of the behavior between black holes with three different topologies. These black holes have spherical, hyperbolic and toroidal structures. We study in this paper the behavior of a probe D5-branes in this nontrivial black hole spacetime. We would like to find the solution what describe the embedding of probe D5-brane. This system realizes an "interface" solution, a kind of non-local operators, on the boundary gauge theories. These operators are important to deepen understanding of AdS/CFT correspondence. |
hep-th/9203046 | Peter van Driel | F.Alexander Bais, Peter van Driel and Mark de Wild Propitius | Quantum symmetries in discrete gauge theories | null | Phys.Lett. B280 (1992) 63-70 | 10.1016/0370-2693(92)90773-W | null | hep-th | null | We analyse the fusion, braiding and scattering properties of discrete
non-abelian anyons. These occur in (2+1)-dimensional theories where a gauge
group G is spontaneously broken down to some discrete subgroup H. We identify
the quantumnumbers of the electrically and magnetically charged sectors of the
remaining discrete gauge theory, and show that on the quantum level the
symmetry group H is extended to the (quasi-triangular) Hopf algebra D(H). Most
of our considerations are relevant for discrete gauge theories in
(3+1)-dimensional space time as well.
| [
{
"created": "Tue, 17 Mar 1992 15:11:18 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bais",
"F. Alexander",
""
],
[
"van Driel",
"Peter",
""
],
[
"Propitius",
"Mark de Wild",
""
]
] | We analyse the fusion, braiding and scattering properties of discrete non-abelian anyons. These occur in (2+1)-dimensional theories where a gauge group G is spontaneously broken down to some discrete subgroup H. We identify the quantumnumbers of the electrically and magnetically charged sectors of the remaining discrete gauge theory, and show that on the quantum level the symmetry group H is extended to the (quasi-triangular) Hopf algebra D(H). Most of our considerations are relevant for discrete gauge theories in (3+1)-dimensional space time as well. |
hep-th/9601148 | Pms4 | Conor Houghton and Paul Sutcliffe | Monopole Scattering with a Twist | uuencoded latex, 32 pages, 4 figures To appear in Nuclear Physics B | Nucl.Phys. B464 (1996) 59-84 | 10.1016/0550-3213(96)00037-5 | DAMTP 95-28 | hep-th | null | By imposing certain combined inversion and rotation symmetries on the
rational maps for SU(2) BPS monopoles we construct geodesics in the monopole
moduli space. In the moduli space approximation these geodesics describe a
novel kind of monopole scattering. During these scattering processes axial
symmetry is instantaneously attained and, in some, monopoles with the
symmetries of the regular solids are formed. The simplest example corresponds
to a charge three monopole invariant under a combined inversion and 90 degree
rotation symmetry. In this example three well-separated collinear unit charge
monopoles coalesce to form first a tetrahedron, then a torus, then the dual
tetrahedron and finally separate again along the same axis of motion. We
explicitly construct the spectral curves in this case and use a numerical ADHMN
construction to compute the energy density at various times during the motion.
We find that the dynamics of the zeros of the Higgs field is extremely rich and
we discover a new phenomenon; there exist charge k SU(2) BPS monopoles with
more than k zeros of the Higgs field.
| [
{
"created": "Fri, 26 Jan 1996 17:44:02 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Houghton",
"Conor",
""
],
[
"Sutcliffe",
"Paul",
""
]
] | By imposing certain combined inversion and rotation symmetries on the rational maps for SU(2) BPS monopoles we construct geodesics in the monopole moduli space. In the moduli space approximation these geodesics describe a novel kind of monopole scattering. During these scattering processes axial symmetry is instantaneously attained and, in some, monopoles with the symmetries of the regular solids are formed. The simplest example corresponds to a charge three monopole invariant under a combined inversion and 90 degree rotation symmetry. In this example three well-separated collinear unit charge monopoles coalesce to form first a tetrahedron, then a torus, then the dual tetrahedron and finally separate again along the same axis of motion. We explicitly construct the spectral curves in this case and use a numerical ADHMN construction to compute the energy density at various times during the motion. We find that the dynamics of the zeros of the Higgs field is extremely rich and we discover a new phenomenon; there exist charge k SU(2) BPS monopoles with more than k zeros of the Higgs field. |
0809.0184 | Alberto Salvio | A. Salvio | Relaxing Lorentz invariance in general perturbative anomalies | 18 pages, 1 figure. Few comments added. Article published in Physical
Review D | Phys.Rev.D78:085023,2008 | 10.1103/PhysRevD.78.085023 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the role of Lorentz symmetry in the perturbative non-gravitational
anomalies for a single family of fermions. The theory is assumed to be
translational invariant, power-counting renormalizable and based on a local
action, but is allowed to have general Lorentz violating operators. We study
the conservation of global and gauge currents associate with general internal
symmetry groups and find, by using a perturbative approach, that Lorentz
symmetry does not participate in the clash of symmetries that leads to the
anomalies. We first analyze the triangle graphs and prove that there are
regulators for which the anomalous part of the Ward identities exactly
reproduces the Lorentz invariant case. Then we show, by means of a regulator
independent argument, that the anomaly cancellation conditions derived in
Lorentz invariant theories remain necessary ingredients for anomaly freedom.
| [
{
"created": "Mon, 1 Sep 2008 07:55:00 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Oct 2008 16:41:26 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Salvio",
"A.",
""
]
] | We analyze the role of Lorentz symmetry in the perturbative non-gravitational anomalies for a single family of fermions. The theory is assumed to be translational invariant, power-counting renormalizable and based on a local action, but is allowed to have general Lorentz violating operators. We study the conservation of global and gauge currents associate with general internal symmetry groups and find, by using a perturbative approach, that Lorentz symmetry does not participate in the clash of symmetries that leads to the anomalies. We first analyze the triangle graphs and prove that there are regulators for which the anomalous part of the Ward identities exactly reproduces the Lorentz invariant case. Then we show, by means of a regulator independent argument, that the anomaly cancellation conditions derived in Lorentz invariant theories remain necessary ingredients for anomaly freedom. |
2105.12137 | Alexander Penin A. | Alexander A. Penin and Quinten Weller | A Theory of Giant Vortices | 20 pages, 7 figures, LaTeX. arXiv admin note: text overlap with
arXiv:2009.06640 | null | 10.1007/JHEP08(2021)056 | ALBERTA-THY-2-21 | hep-th cond-mat.mes-hall hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate a theory of giant vortices [1] based on an asymptotic expansion
in inverse powers of their winding number $n$. The theory is applied to the
analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model.
Specific properties of the giant vortices for charged and neutral scalar fields
as well as different integrable limits of the scalar self-coupling are
discussed. Asymptotic results and the finite-$n$ corrections to the vortex
solutions are derived in analytic form and the convergence region of the
expansion is determined.
| [
{
"created": "Tue, 25 May 2021 18:00:01 GMT",
"version": "v1"
}
] | 2021-09-01 | [
[
"Penin",
"Alexander A.",
""
],
[
"Weller",
"Quinten",
""
]
] | We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number $n$. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-$n$ corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined. |
hep-th/9812194 | Vladimir Dobrev | V.K. Dobrev | Intertwining Operator Realization of the AdS/CFT Correspondence | 25 pages, TEX file using harvmac.tex; v2: misprints corrected; to
appear in Nuclear Physics B | Nucl.Phys. B553 (1999) 559-582 | 10.1016/S0550-3213(99)00284-9 | null | hep-th | null | We give a group-theoretic interpretation of the AdS/CFT correspondence as
relation of representation equivalence between representations of the conformal
group describing the bulk AdS fields $\phi$ and the coupled boundary fields
$\phi_0$ and ${\cal O}$. We use two kinds of equivalences. The first kind is
equivalence between bulk fields and boundary fields and is established here.
The second kind is the equivalence between coupled boundary fields. Operators
realizing the first kind of equivalence for special cases were given by Witten
and others - here they are constructed in a more general setting from the
requirement that they are intertwining operators. The intertwining operators
realizing the second kind of equivalence are provided by the standard conformal
two-point functions. Using both equivalences we find that the bulk field has in
fact two boundary fields, namely, the coupled boundary fields. Thus, from the
viewpoint of the bulk-boundary correspondence the coupled fields are on an
equal footing. Our setting is more general since our bulk fields are described
by representations of the Euclidean conformal group $G=SO(d+1,1)$, induced from
representations $\tau$ of the maximal compact subgroup $SO(d+1)$ of $G$. From
these large reducible representations we can single out representations which
are equivalent to conformal boundary representations labelled by the conformal
weight and by arbitrary representations $\mu$ of the Euclidean Lorentz group
$M=SO(d)$, such that $\mu$ is contained in the restriction of $\tau$ to $M$.
Thus, our boundary-to-bulk operators can be compared with those in the
literature only when for a fixed $\mu$ we consider a 'minimal' representation
$\tau=\tau(\mu)$ containing $\mu$.
| [
{
"created": "Mon, 21 Dec 1998 21:33:00 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Apr 1999 15:52:26 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Dobrev",
"V. K.",
""
]
] | We give a group-theoretic interpretation of the AdS/CFT correspondence as relation of representation equivalence between representations of the conformal group describing the bulk AdS fields $\phi$ and the coupled boundary fields $\phi_0$ and ${\cal O}$. We use two kinds of equivalences. The first kind is equivalence between bulk fields and boundary fields and is established here. The second kind is the equivalence between coupled boundary fields. Operators realizing the first kind of equivalence for special cases were given by Witten and others - here they are constructed in a more general setting from the requirement that they are intertwining operators. The intertwining operators realizing the second kind of equivalence are provided by the standard conformal two-point functions. Using both equivalences we find that the bulk field has in fact two boundary fields, namely, the coupled boundary fields. Thus, from the viewpoint of the bulk-boundary correspondence the coupled fields are on an equal footing. Our setting is more general since our bulk fields are described by representations of the Euclidean conformal group $G=SO(d+1,1)$, induced from representations $\tau$ of the maximal compact subgroup $SO(d+1)$ of $G$. From these large reducible representations we can single out representations which are equivalent to conformal boundary representations labelled by the conformal weight and by arbitrary representations $\mu$ of the Euclidean Lorentz group $M=SO(d)$, such that $\mu$ is contained in the restriction of $\tau$ to $M$. Thus, our boundary-to-bulk operators can be compared with those in the literature only when for a fixed $\mu$ we consider a 'minimal' representation $\tau=\tau(\mu)$ containing $\mu$. |
hep-th/0202180 | Mariano Cadoni | M. Cadoni, P. Carta and S. Mignemi | The Cardy-Verlinde formula for 2D gravity | 14 pages, Latex file. v2: reference added | Nucl.Phys. B632 (2002) 383-393 | 10.1016/S0550-3213(02)00259-6 | INFNCA-TH0203 | hep-th | null | We discuss the different bounds on entropy in the context of two-dimensional
cosmology. We show that in order to obtain well definite bounds one has to use
the scale symmetry of the gravitational theory. We then extend the recently
found relation between the Friedmann equation and the Cardy formula to the case
of two dimensions. In particular, we find that in two dimensions this relation
requires that the central charge c of the conformal field theory is given in
terms of the Newton constant G of the gravitational theory by c=6/G.
| [
{
"created": "Tue, 26 Feb 2002 13:29:52 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Mar 2002 12:06:52 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Cadoni",
"M.",
""
],
[
"Carta",
"P.",
""
],
[
"Mignemi",
"S.",
""
]
] | We discuss the different bounds on entropy in the context of two-dimensional cosmology. We show that in order to obtain well definite bounds one has to use the scale symmetry of the gravitational theory. We then extend the recently found relation between the Friedmann equation and the Cardy formula to the case of two dimensions. In particular, we find that in two dimensions this relation requires that the central charge c of the conformal field theory is given in terms of the Newton constant G of the gravitational theory by c=6/G. |
2209.01796 | Evgeny Skvortsov D | Alexey Sharapov, Evgeny Skvortsov and Richard Van Dongen | Chiral Higher Spin Gravity and Convex Geometry | 9 pages, several figures, minor changes | SciPost Phys. 14, 162 (2023) | 10.21468/SciPostPhys.14.6.162 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Chiral Higher Spin Gravity is the minimal extension of the graviton with
propagating massless higher spin fields. It admits any value of the
cosmological constant, including zero. Its existence implies that Chern-Simons
vector models have closed subsectors and supports the $3d$ bosonization
duality. In this letter, we explicitly construct an $A_\infty$-algebra that
determines all interaction vertices of the theory. The algebra turns out to be
of pre-Calabi-Yau type. The corresponding products, some of which originate
from Shoikhet-Tsygan-Kontsevich formality, are given by integrals over the
configuration space of convex polygons.
| [
{
"created": "Mon, 5 Sep 2022 07:11:58 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2023 19:54:31 GMT",
"version": "v2"
}
] | 2023-06-21 | [
[
"Sharapov",
"Alexey",
""
],
[
"Skvortsov",
"Evgeny",
""
],
[
"Van Dongen",
"Richard",
""
]
] | Chiral Higher Spin Gravity is the minimal extension of the graviton with propagating massless higher spin fields. It admits any value of the cosmological constant, including zero. Its existence implies that Chern-Simons vector models have closed subsectors and supports the $3d$ bosonization duality. In this letter, we explicitly construct an $A_\infty$-algebra that determines all interaction vertices of the theory. The algebra turns out to be of pre-Calabi-Yau type. The corresponding products, some of which originate from Shoikhet-Tsygan-Kontsevich formality, are given by integrals over the configuration space of convex polygons. |
1806.02835 | Jordan Cotler | Jordan Cotler, M. Reza Mohammadi Mozaffar, Ali Mollabashi, Ali Naseh | Entanglement Renormalization for Weakly Interacting Fields | 8 pages, 1 figure | Phys. Rev. D 99, 085005 (2019) | 10.1103/PhysRevD.99.085005 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We adapt the techniques of entanglement renormalization tensor networks to
weakly interacting quantum field theories in the continuum. A key tool is
"quantum circuit perturbation theory," which enables us to systematically
construct unitaries that map between wavefunctionals which are Gaussian with
arbitrary perturbative corrections. As an application, we construct a local,
continuous MERA (cMERA) circuit that maps an unentangled scale-invariant state
to the ground state of $\varphi^4$ theory to 1-loop. Our local cMERA circuit
corresponds exactly to 1-loop Wilsonian RG on the spatial momentum modes. In
other words, we establish that perturbative Wilsonian RG on spatial momentum
modes can be equivalently recast as a local cMERA circuit in $\varphi^4$
theory, and argue that this correspondence holds more generally. Our analysis
also suggests useful numerical ansatzes for cMERA in the non-perturbative
regime.
| [
{
"created": "Thu, 7 Jun 2018 18:00:01 GMT",
"version": "v1"
}
] | 2019-04-24 | [
[
"Cotler",
"Jordan",
""
],
[
"Mozaffar",
"M. Reza Mohammadi",
""
],
[
"Mollabashi",
"Ali",
""
],
[
"Naseh",
"Ali",
""
]
] | We adapt the techniques of entanglement renormalization tensor networks to weakly interacting quantum field theories in the continuum. A key tool is "quantum circuit perturbation theory," which enables us to systematically construct unitaries that map between wavefunctionals which are Gaussian with arbitrary perturbative corrections. As an application, we construct a local, continuous MERA (cMERA) circuit that maps an unentangled scale-invariant state to the ground state of $\varphi^4$ theory to 1-loop. Our local cMERA circuit corresponds exactly to 1-loop Wilsonian RG on the spatial momentum modes. In other words, we establish that perturbative Wilsonian RG on spatial momentum modes can be equivalently recast as a local cMERA circuit in $\varphi^4$ theory, and argue that this correspondence holds more generally. Our analysis also suggests useful numerical ansatzes for cMERA in the non-perturbative regime. |
hep-th/0001129 | Michael Duetsch | M. Duetsch and K. Fredenhagen | Algebraic Quantum Field Theory, Perturbation Theory, and the Loop
Expansion | 29 pages | Commun.Math.Phys. 219 (2001) 5-30 | 10.1007/PL00005563 | DESY 00-013 | hep-th | null | The perturbative treatment of quantum field theory is formulated within the
framework of algebraic quantum field theory. We show that the algebra of
interacting fields is additive, i.e. fully determined by its subalgebras
associated to arbitrary small subregions of Minkowski space. We also give an
algebraic formulation of the loop expansion by introducing a projective system
${\cal A}^{(n)}$ of observables ``up to $n$ loops'' where ${\cal A}^{(0)}$ is
the Poisson algebra of the classical field theory. Finally we give a local
algebraic formulation for two cases of the quantum action principle and compare
it with the usual formulation in terms of Green's functions.
| [
{
"created": "Thu, 20 Jan 2000 18:34:23 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Duetsch",
"M.",
""
],
[
"Fredenhagen",
"K.",
""
]
] | The perturbative treatment of quantum field theory is formulated within the framework of algebraic quantum field theory. We show that the algebra of interacting fields is additive, i.e. fully determined by its subalgebras associated to arbitrary small subregions of Minkowski space. We also give an algebraic formulation of the loop expansion by introducing a projective system ${\cal A}^{(n)}$ of observables ``up to $n$ loops'' where ${\cal A}^{(0)}$ is the Poisson algebra of the classical field theory. Finally we give a local algebraic formulation for two cases of the quantum action principle and compare it with the usual formulation in terms of Green's functions. |
hep-th/0209145 | Yuji Sugawara | Yuji Sugawara | Thermal Amplitudes in DLCQ Superstrings on PP-Waves | 45 pages, no figure; v2 minor corrections, references added; v3 some
Comments added, minor corrections, version to appear in Nucl. Phys. B; v4 a
reference added; v5 eqs. (2.51), (2.75) corrected | Nucl.Phys. B650 (2003) 75-113 | 10.1016/S0550-3213(02)01030-1 | UT-02-52 | hep-th | null | We calculate the thermal partition function of DLCQ superstring on the
maximally supersymmetric pp-wave background, which is realized as the Penrose
limit of orbifolded $AdS_5\times S^5$ and known to be dual to the
$\mathcal{N}=2$ ``large'' quiver gauge theory as shown by S. Mukhi, M.
Rangamani and E. Verlinde, hep-th/0204147. Making use of the path-integral
technique, we derive the manifestly modular invariant expression and show the
equivalence with the free energy of second quantized free superstring on this
background. The ``virtual strings'' wound around the temporal circle play
essential roles for realizing the modular invariance and for a simple analysis
on the Hagedorn temperature. We also calculate the thermal one-loop amplitudes
of open strings under the various backgrounds of the supersymmetric time-like
and Euclidean D-branes, and confirm the existence of correct open-closed string
duality. Furthermore, we extend these thermodynamical analysis to the
6-dimensional DLCQ pp-waves with general RR and NSNS flux. These superstring
vacua are similarly derived from the supersymmetric (half SUSY) and
non-supersymmetric orbifolds of $AdS_3 \times S^3 \times M^4$ ($M^4 =T^4 $ or
$K3$) by the appropriate Penrose limits, giving rise to the SUSY enhancement as
in the case of orbifolded $AdS_5 \times S^5$.
| [
{
"created": "Wed, 18 Sep 2002 08:13:30 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2002 05:24:50 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Nov 2002 05:59:25 GMT",
"version": "v3"
},
{
"created": "Sat, 23 Nov 2002 07:36:41 GMT",
"version": "v4"
},
{
"c... | 2017-09-07 | [
[
"Sugawara",
"Yuji",
""
]
] | We calculate the thermal partition function of DLCQ superstring on the maximally supersymmetric pp-wave background, which is realized as the Penrose limit of orbifolded $AdS_5\times S^5$ and known to be dual to the $\mathcal{N}=2$ ``large'' quiver gauge theory as shown by S. Mukhi, M. Rangamani and E. Verlinde, hep-th/0204147. Making use of the path-integral technique, we derive the manifestly modular invariant expression and show the equivalence with the free energy of second quantized free superstring on this background. The ``virtual strings'' wound around the temporal circle play essential roles for realizing the modular invariance and for a simple analysis on the Hagedorn temperature. We also calculate the thermal one-loop amplitudes of open strings under the various backgrounds of the supersymmetric time-like and Euclidean D-branes, and confirm the existence of correct open-closed string duality. Furthermore, we extend these thermodynamical analysis to the 6-dimensional DLCQ pp-waves with general RR and NSNS flux. These superstring vacua are similarly derived from the supersymmetric (half SUSY) and non-supersymmetric orbifolds of $AdS_3 \times S^3 \times M^4$ ($M^4 =T^4 $ or $K3$) by the appropriate Penrose limits, giving rise to the SUSY enhancement as in the case of orbifolded $AdS_5 \times S^5$. |
hep-th/0703087 | Joshua Davis | Alejandra Castro, Joshua L. Davis, Per Kraus, and Finn Larsen | 5D Black Holes and Strings with Higher Derivatives | 33 pages, 2 figs., harvmac; v2: typos corrected, references added v3:
refs corrected | JHEP 0706:007,2007 | 10.1088/1126-6708/2007/06/007 | null | hep-th | null | We find asymptotically flat black hole and string solutions to 5D
supergravity in the presence of higher derivative terms. In some cases,
including the fundamental heterotic string solution, the higher derivative
terms smooth out naked singularities into regular geometries carrying zero
entropy. We also compute corrections to the entropy of 5D Calabi-Yau black
holes, and discuss the relation to previous results.
| [
{
"created": "Thu, 8 Mar 2007 20:45:12 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Apr 2007 19:48:01 GMT",
"version": "v2"
},
{
"created": "Thu, 31 May 2007 17:06:08 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"Castro",
"Alejandra",
""
],
[
"Davis",
"Joshua L.",
""
],
[
"Kraus",
"Per",
""
],
[
"Larsen",
"Finn",
""
]
] | We find asymptotically flat black hole and string solutions to 5D supergravity in the presence of higher derivative terms. In some cases, including the fundamental heterotic string solution, the higher derivative terms smooth out naked singularities into regular geometries carrying zero entropy. We also compute corrections to the entropy of 5D Calabi-Yau black holes, and discuss the relation to previous results. |
hep-th/9204024 | Jal Panvel | J. Panvel | Higher Order Conformal Invariance of String Backgrounds Obtained by
O(d,d) Transformations | 8 pages | Phys.Lett. B284 (1992) 50-54 | 10.1016/0370-2693(92)91923-W | null | hep-th | null | Proposals that $O(d,d)$ boosts of trivial backgrounds lead to non-trivial
conformally invariant backgrounds are checked to two loop order. We find that
conformal invariance can be achieved by adding simple higher order corrections
to the metric and dilaton.
| [
{
"created": "Fri, 10 Apr 1992 14:41:15 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Panvel",
"J.",
""
]
] | Proposals that $O(d,d)$ boosts of trivial backgrounds lead to non-trivial conformally invariant backgrounds are checked to two loop order. We find that conformal invariance can be achieved by adding simple higher order corrections to the metric and dilaton. |
hep-th/9510180 | Margaret Gabler | Claudio Teitelboim | Statistical Thermodynamics of a Black Hole in Terms of Surface Fields | 12 pages, no figures, LaTeX | Phys.Rev.D53:2870-2873,1996 | 10.1103/PhysRevD.53.2870 | IASSNS-HEP 95-76 | hep-th gr-qc | null | An action principle for spacetimes with the topology of an Euclidean
black-hole is given. The gravitational field is described by the ordinary
volume degrees of freedom plus additional surface fields at the horizon. The
surface degrees of freedom correspond to diffeomorphisms on the sphere at the
horizon and a field of ``opening angles''. General covariance forces the
surface modes to be confined to a box of an unusual exponential shape, whose
volume must be specified as part of the definition of the statistical ensemble.
This gives rise to the Bekenstein-Hawking entropy.
| [
{
"created": "Tue, 24 Oct 1995 18:47:28 GMT",
"version": "v1"
}
] | 2009-12-30 | [
[
"Teitelboim",
"Claudio",
""
]
] | An action principle for spacetimes with the topology of an Euclidean black-hole is given. The gravitational field is described by the ordinary volume degrees of freedom plus additional surface fields at the horizon. The surface degrees of freedom correspond to diffeomorphisms on the sphere at the horizon and a field of ``opening angles''. General covariance forces the surface modes to be confined to a box of an unusual exponential shape, whose volume must be specified as part of the definition of the statistical ensemble. This gives rise to the Bekenstein-Hawking entropy. |
2008.01058 | Frans Klinkhamer | F.R. Klinkhamer | IIB matrix model: Extracting the spacetime points | 23 pages, v4: App. B added on an alternative extraction procedure | null | null | KA-TP-09-2020 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Assuming that the large-$N$ master field of the Lorentzian IIB matrix model
has been obtained, we go through the procedure of how the coordinates of
emerging spacetime points can be extracted. Explicit calculations with test
master fields suggest that the genuine IIB-matrix-model master field may have a
fine-structure that is essential for producing the spacetime points of an
expanding universe.
| [
{
"created": "Mon, 3 Aug 2020 17:43:13 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2020 17:42:44 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Aug 2020 17:22:49 GMT",
"version": "v3"
},
{
"created": "Wed, 3 Feb 2021 18:36:29 GMT",
"version": "v4"
}
] | 2021-02-04 | [
[
"Klinkhamer",
"F. R.",
""
]
] | Assuming that the large-$N$ master field of the Lorentzian IIB matrix model has been obtained, we go through the procedure of how the coordinates of emerging spacetime points can be extracted. Explicit calculations with test master fields suggest that the genuine IIB-matrix-model master field may have a fine-structure that is essential for producing the spacetime points of an expanding universe. |
2202.10252 | Rui Sun | Tianjun Li, Rui Sun, Chi Zhang | Four-Family ${\cal N}=1$ Supersymmetric Pati-Salam Models from
Intersecting D6-Branes | reference added | null | 10.1088/1572-9494/ac6747 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate the construction of four-family ${\cal N}=1$ supersymmetric
Pati-Salam models from Type IIA $\mathbb{T}^6/(\mathbb{Z}_2 \times
\mathbb{Z}_2)$ orientifold with intersecting D6-branes. Utilizing the
deterministic algorithm introduced in Ref.
\cite{heCompleteSearchSupersymmetric2021}, we obtain $274$ types of models with
three rectangular tori and distinct gauge coupling relations at string scale,
while $6$ types of models with two rectangular tori and one titled torus. In
both cases, there exists a class of models with gauge coupling unification at
string scale. In particular, for the models with two rectangular tori, one
tilted torus and gauge coupling unification, the gaugino condensations are
allowed, and thus supersymmetry breaking and moduli stabilization are possible
for further phenomenological study.
| [
{
"created": "Mon, 21 Feb 2022 14:13:51 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2022 06:33:00 GMT",
"version": "v2"
}
] | 2022-07-06 | [
[
"Li",
"Tianjun",
""
],
[
"Sun",
"Rui",
""
],
[
"Zhang",
"Chi",
""
]
] | We investigate the construction of four-family ${\cal N}=1$ supersymmetric Pati-Salam models from Type IIA $\mathbb{T}^6/(\mathbb{Z}_2 \times \mathbb{Z}_2)$ orientifold with intersecting D6-branes. Utilizing the deterministic algorithm introduced in Ref. \cite{heCompleteSearchSupersymmetric2021}, we obtain $274$ types of models with three rectangular tori and distinct gauge coupling relations at string scale, while $6$ types of models with two rectangular tori and one titled torus. In both cases, there exists a class of models with gauge coupling unification at string scale. In particular, for the models with two rectangular tori, one tilted torus and gauge coupling unification, the gaugino condensations are allowed, and thus supersymmetry breaking and moduli stabilization are possible for further phenomenological study. |
1510.03313 | Jen-Chi Lee | Jen-Chi Lee | Biquaternion Construction of SL(2,C) Yang-Mills Instantons | 11 pages, no figures. talk presented at ISQS-23 at Prague, Czech
2015. to be published in J. of Phys.: Conf. series | null | 10.1088/1742-6596/670/1/012032 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use biquaternion to construct SL(2,C) ADHM Yang-Mills instantons. The
solutions contain 16k-6 moduli parameters for the kth homotopy class, and
include as a subset the SL(2,C) (M,N) instanton solutions constructed
previously. In constrast to the SU(2) instantons, the SL(2,C) instantons
inhereit jumping lines or singulariries which are not gauge artifacts and can
not be gauged away.
| [
{
"created": "Mon, 12 Oct 2015 14:49:12 GMT",
"version": "v1"
}
] | 2016-02-17 | [
[
"Lee",
"Jen-Chi",
""
]
] | We use biquaternion to construct SL(2,C) ADHM Yang-Mills instantons. The solutions contain 16k-6 moduli parameters for the kth homotopy class, and include as a subset the SL(2,C) (M,N) instanton solutions constructed previously. In constrast to the SU(2) instantons, the SL(2,C) instantons inhereit jumping lines or singulariries which are not gauge artifacts and can not be gauged away. |
1807.02385 | Dirk Kreimer | Dirk Kreimer | The corolla polynomial: a graph polynomial on half-edges | 7 pages, 4 figures, Loops and Legs in Quantum Field Theory (LL2018)
St. Goar, Germany | null | null | PoS LL2018 (2018) 068; MaPhy-AvH/2018-05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The study of Feynman rules is much facilitated by the two Symanzik
polynomials, homogeneous polynomials based on edge variables for a given
Feynman graph. We review here the role of a recently discovered third graph
polynomial based on half-edges which facilitates the transition from scalar to
gauge theory amplitudes: the corolla polynomial. We review in particular the
use of graph homology in the construction of this polynomial.
| [
{
"created": "Fri, 6 Jul 2018 12:46:23 GMT",
"version": "v1"
}
] | 2018-07-09 | [
[
"Kreimer",
"Dirk",
""
]
] | The study of Feynman rules is much facilitated by the two Symanzik polynomials, homogeneous polynomials based on edge variables for a given Feynman graph. We review here the role of a recently discovered third graph polynomial based on half-edges which facilitates the transition from scalar to gauge theory amplitudes: the corolla polynomial. We review in particular the use of graph homology in the construction of this polynomial. |
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