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/0501123 | M. Tierz | Sebastian de Haro, Miguel Tierz | Discrete and oscillatory Matrix Models in Chern-Simons theory | 17 pages, 6 figures; v2: minor corrections | Nucl.Phys.B731:225-241,2005 | 10.1016/j.nuclphysb.2005.09.034 | null | hep-th math-ph math.MP | null | We derive discrete and oscillatory Chern-Simons matrix models. The method is
based on fundamental properties of the associated orthogonal polynomials. As an
application, we show that the discrete model allows to prove and extend the
recently found relationship between Chern-Simons theory and q-deformed 2dYM. In
addition, the equivalence of the Chern-Simons matrix models gives a
complementary view on the equivalence of effective superpotentials in N=1 gauge
theories.
| [
{
"created": "Sun, 16 Jan 2005 22:07:46 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Nov 2005 05:32:32 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"de Haro",
"Sebastian",
""
],
[
"Tierz",
"Miguel",
""
]
] | We derive discrete and oscillatory Chern-Simons matrix models. The method is based on fundamental properties of the associated orthogonal polynomials. As an application, we show that the discrete model allows to prove and extend the recently found relationship between Chern-Simons theory and q-deformed 2dYM. In addition, the equivalence of the Chern-Simons matrix models gives a complementary view on the equivalence of effective superpotentials in N=1 gauge theories. |
hep-th/0505222 | Massimo Giovannini | Massimo Giovannini | Inhomogeneous dusty Universes and their deceleration | 8 pages; minor corrected typos | Phys.Lett. B634 (2006) 1-4 | 10.1016/j.physletb.2006.01.019 | CERN-PH-TH/2005-085 | hep-th astro-ph gr-qc hep-ph | null | Exact results stemming directly from Einstein equations imply that
inhomogeneous Universes endowed with vanishing pressure density can only
decelerate, unless the energy density of the Universe becomes negative. Recent
proposals seem to argue that inhomogeneous (but isotropic) space-times, filled
only with incoherent matter,may turn into accelerated Universes for
sufficiently late times. To scrutinize these scenarios, fully inhomogeneous
Einstein equations are discussed in the synchronous system. In a dust-dominated
Universe, the inhomogeneous generalization of the deceleration parameter is
always positive semi-definite implying that no acceleration takes place.
| [
{
"created": "Tue, 24 May 2005 19:21:53 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jun 2005 15:25:08 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Giovannini",
"Massimo",
""
]
] | Exact results stemming directly from Einstein equations imply that inhomogeneous Universes endowed with vanishing pressure density can only decelerate, unless the energy density of the Universe becomes negative. Recent proposals seem to argue that inhomogeneous (but isotropic) space-times, filled only with incoherent matter,may turn into accelerated Universes for sufficiently late times. To scrutinize these scenarios, fully inhomogeneous Einstein equations are discussed in the synchronous system. In a dust-dominated Universe, the inhomogeneous generalization of the deceleration parameter is always positive semi-definite implying that no acceleration takes place. |
2101.11635 | Renjan Rajan John | Sachin Jain, Renjan Rajan John, Abhishek Mehta, Amin A. Nizami,
Adithya Suresh | Momentum space parity-odd CFT 3-point functions | 44 pages | null | 10.1007/JHEP08(2021)089 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the parity-odd sector of 3-point functions comprising of scalar
operators and conserved currents in conformal field theories in momentum space.
We use momentum space conformal Ward identities as well as spin-raising and
weight-shifting operators to fix the form of these correlators. We discuss in
detail the regularisation of divergences and their renormalisation using
specific counter-terms.
| [
{
"created": "Wed, 27 Jan 2021 19:00:17 GMT",
"version": "v1"
}
] | 2021-08-26 | [
[
"Jain",
"Sachin",
""
],
[
"John",
"Renjan Rajan",
""
],
[
"Mehta",
"Abhishek",
""
],
[
"Nizami",
"Amin A.",
""
],
[
"Suresh",
"Adithya",
""
]
] | We study the parity-odd sector of 3-point functions comprising of scalar operators and conserved currents in conformal field theories in momentum space. We use momentum space conformal Ward identities as well as spin-raising and weight-shifting operators to fix the form of these correlators. We discuss in detail the regularisation of divergences and their renormalisation using specific counter-terms. |
2007.09395 | Francesco Aprile | F.Aprile, J.M.Drummond, P.Heslop, H.Paul, F.Sanfilippo, M.Santagata,
A.Stewart | Single Particle Operators and their Correlators in Free $\mathcal{N}=4$
SYM | 46 pages, appendices A,B,C,D and many illustrations | null | 10.1007/JHEP11(2020)072 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a set of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills
theory which are appropriate for describing single-particle states of
superstring theory on AdS${}_5 \times S^5$. These single-particle operators are
defined to have vanishing two-point functions with all multi-trace operators
and therefore correspond to admixtures of single- and multi-traces. We find
explicit formulae for all single-particle operators and for their two-point
function normalisation. We show that single-particle $U(N)$ operators belong to
the $SU(N)$ subspace, thus for length greater than one they are simply the
$SU(N)$ single-particle operators. Then, we point out that at large $N$, as the
length of the operator increases, the single-particle operator naturally
interpolates between the single-trace and the $S^3$ giant graviton. At finite
$N$, the multi-particle basis, obtained by taking products of the
single-particle operators, gives a new basis for all half-BPS states, and this
new basis naturally cuts off when the length of any of the single-particle
operators exceeds the number of colours. From the two-point function
orthogonality we prove a multipoint orthogonality theorem which implies
vanishing of all near-extremal correlators. We then compute all maximally and
next-to-maximally extremal free correlators, and we discuss features of the
correlators when the extremality is lowered. Finally, we describe a half-BPS
projection of the operator product expansion on the multi-particle basis which
provides an alternative construction of four- and higher-point functions in the
free theory.
| [
{
"created": "Sat, 18 Jul 2020 10:28:40 GMT",
"version": "v1"
}
] | 2021-03-17 | [
[
"Aprile",
"F.",
""
],
[
"Drummond",
"J. M.",
""
],
[
"Heslop",
"P.",
""
],
[
"Paul",
"H.",
""
],
[
"Sanfilippo",
"F.",
""
],
[
"Santagata",
"M.",
""
],
[
"Stewart",
"A.",
""
]
] | We consider a set of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on AdS${}_5 \times S^5$. These single-particle operators are defined to have vanishing two-point functions with all multi-trace operators and therefore correspond to admixtures of single- and multi-traces. We find explicit formulae for all single-particle operators and for their two-point function normalisation. We show that single-particle $U(N)$ operators belong to the $SU(N)$ subspace, thus for length greater than one they are simply the $SU(N)$ single-particle operators. Then, we point out that at large $N$, as the length of the operator increases, the single-particle operator naturally interpolates between the single-trace and the $S^3$ giant graviton. At finite $N$, the multi-particle basis, obtained by taking products of the single-particle operators, gives a new basis for all half-BPS states, and this new basis naturally cuts off when the length of any of the single-particle operators exceeds the number of colours. From the two-point function orthogonality we prove a multipoint orthogonality theorem which implies vanishing of all near-extremal correlators. We then compute all maximally and next-to-maximally extremal free correlators, and we discuss features of the correlators when the extremality is lowered. Finally, we describe a half-BPS projection of the operator product expansion on the multi-particle basis which provides an alternative construction of four- and higher-point functions in the free theory. |
2207.10549 | Daniel Schubring | Daniel Schubring | Classical and quantum aspects of non-linear sigma models with a squashed
sphere target space | PhD thesis, including chapters of new material. 116 pages | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Various aspects of non-linear sigma models with an $SU(N)\times U(1)$
symmetric target space are considered. In the case $N=2$, three-dimensional
topological defects are discussed which are relevant for frustrated magnetic
systems and which may offer a new perspective on the Skyrme model. An apparent
discrepancy between the large $N$ expansion and the weak coupling expansion
noted earlier in the literature is reviewed and clarified. A systematic
approach to the operator product expansion at sub-leading order in large $N$ is
developed and the spinon two-point function is expanded as a trans-series in
which all ambiguities in the Borel plane are shown to cancel.
| [
{
"created": "Thu, 21 Jul 2022 15:49:12 GMT",
"version": "v1"
}
] | 2022-07-22 | [
[
"Schubring",
"Daniel",
""
]
] | Various aspects of non-linear sigma models with an $SU(N)\times U(1)$ symmetric target space are considered. In the case $N=2$, three-dimensional topological defects are discussed which are relevant for frustrated magnetic systems and which may offer a new perspective on the Skyrme model. An apparent discrepancy between the large $N$ expansion and the weak coupling expansion noted earlier in the literature is reviewed and clarified. A systematic approach to the operator product expansion at sub-leading order in large $N$ is developed and the spinon two-point function is expanded as a trans-series in which all ambiguities in the Borel plane are shown to cancel. |
1803.00649 | Ekaterina Sysoeva | Ekaterina Sysoeva | Wilson loop and its correlators in the limit of large coupling constant | null | null | 10.1016/j.nuclphysb.2018.09.015 | ROM2F/2017/05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study Wilson loops in various representations for finite and
large values of the color gauge group for supersymmetric ${\cal N}=4$ gauge
theories. We also compute correlators of Wilson loops in different
representations and perform a check with the dual gravitational theory.
| [
{
"created": "Thu, 1 Mar 2018 22:45:16 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2018 16:34:20 GMT",
"version": "v2"
}
] | 2018-11-14 | [
[
"Sysoeva",
"Ekaterina",
""
]
] | In this paper we study Wilson loops in various representations for finite and large values of the color gauge group for supersymmetric ${\cal N}=4$ gauge theories. We also compute correlators of Wilson loops in different representations and perform a check with the dual gravitational theory. |
hep-th/0111056 | Bob Holdom | Bob Holdom | UV-IR coupling in higher derivative gravity | 8 pages, 4 figures | null | null | UTPT-01-12 | hep-th hep-ph | null | We discuss the possible existence of new generic vacuum solutions of
Robertson-Walker form in higher derivative gravity theories in four dimensions.
These solutions illustrate how a dynamical coupling between very low and very
high frequency modes can occur when the cosmological constant is small.
| [
{
"created": "Tue, 6 Nov 2001 20:57:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Holdom",
"Bob",
""
]
] | We discuss the possible existence of new generic vacuum solutions of Robertson-Walker form in higher derivative gravity theories in four dimensions. These solutions illustrate how a dynamical coupling between very low and very high frequency modes can occur when the cosmological constant is small. |
hep-th/0310173 | F. Saueressig | Laur Jarv, Thomas Mohaupt and Frank Saueressig | Effective Supergravity Actions for Flop Transitions | 65 pages, 5 figures | JHEP 0312 (2003) 047 | 10.1088/1126-6708/2003/12/047 | null | hep-th | null | We construct a family of five-dimensional gauged supergravity actions which
describe flop transitions of M-theory compactified on Calabi-Yau threefolds.
While the vector multiplet sector can be treated exactly, we use the Wolf
spaces X(1+N) = U(1+N,2)/(U(1+N) x U(2)) to model the universal hypermultiplet
together with N charged hypermultiplets corresponding to winding states of the
M2-brane. The metric, the Killing vectors and the moment maps of these spaces
are obtained explicitly by using the superconformal quotient construction of
quaternion-Kahler manifolds. The inclusion of the extra hypermultiplets gives
rise to a non-trivial scalar potential which is uniquely fixed by M-theory
physics.
| [
{
"created": "Mon, 20 Oct 2003 16:43:40 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Jarv",
"Laur",
""
],
[
"Mohaupt",
"Thomas",
""
],
[
"Saueressig",
"Frank",
""
]
] | We construct a family of five-dimensional gauged supergravity actions which describe flop transitions of M-theory compactified on Calabi-Yau threefolds. While the vector multiplet sector can be treated exactly, we use the Wolf spaces X(1+N) = U(1+N,2)/(U(1+N) x U(2)) to model the universal hypermultiplet together with N charged hypermultiplets corresponding to winding states of the M2-brane. The metric, the Killing vectors and the moment maps of these spaces are obtained explicitly by using the superconformal quotient construction of quaternion-Kahler manifolds. The inclusion of the extra hypermultiplets gives rise to a non-trivial scalar potential which is uniquely fixed by M-theory physics. |
hep-th/9507150 | T. Schucker | Bruno Iochum, Daniel Kastler, Thomas Schucker (Marseille) | Fuzzy Mass Relations in the Standard Model | 14 pages LaTeX, one figure postscript | null | null | CPT-95/P.3235 | hep-th | null | Recently Connes has proposed a new geometric version of the standard model
including a non-commutative charge conjugation. We present a systematic
analysis of the relations among masses and coupling constants in this approach.
In particular, for a given top mass, the Higgs mass is constrained to lie in an
interval. Therefore this constraint is locally stable under renormalization
flow.
| [
{
"created": "Thu, 27 Jul 1995 10:50:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Iochum",
"Bruno",
"",
"Marseille"
],
[
"Kastler",
"Daniel",
"",
"Marseille"
],
[
"Schucker",
"Thomas",
"",
"Marseille"
]
] | Recently Connes has proposed a new geometric version of the standard model including a non-commutative charge conjugation. We present a systematic analysis of the relations among masses and coupling constants in this approach. In particular, for a given top mass, the Higgs mass is constrained to lie in an interval. Therefore this constraint is locally stable under renormalization flow. |
1703.09685 | John Gracey | J.A. Gracey | Renormalization of scalar field theories in rational spacetime
dimensions | 23 latex pages, 8 figures, 2 tables, txt file has been updated with
the electronic version of the renormalization group functions for the O(N)
symmetric theories given in the paper | null | null | LTH 1130 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We renormalize various scalar field theories with a $\phi^n$ self interaction
such as $n$ $=$ $5$, $7$ and $9$ in their respective critical dimensions which
are non-integer. The renormalization group functions for the $O(N)$ symmetric
extensions are also computed.
| [
{
"created": "Tue, 28 Mar 2017 17:48:48 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jun 2020 09:32:06 GMT",
"version": "v2"
},
{
"created": "Mon, 16 May 2022 15:32:25 GMT",
"version": "v3"
}
] | 2022-05-17 | [
[
"Gracey",
"J. A.",
""
]
] | We renormalize various scalar field theories with a $\phi^n$ self interaction such as $n$ $=$ $5$, $7$ and $9$ in their respective critical dimensions which are non-integer. The renormalization group functions for the $O(N)$ symmetric extensions are also computed. |
2201.12223 | Pietro Longhi | Sibasish Banerjee, Pietro Longhi, Mauricio Romo | A-branes, foliations and localization | 51 pages | null | 10.1007/s00023-022-01231-8 | null | hep-th math.AG math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper studies a notion of enumerative invariants for stable $A$-branes,
and discusses its relation to invariants defined by spectral and exponential
networks. A natural definition of stable $A$-branes and their counts is
provided by the string theoretic origin of the topological $A$-model. This is
the Witten index of the supersymmetric quantum mechanics of a single $D3$ brane
supported on a special Lagrangian in a Calabi-Yau threefold. Geometrically,
this is closely related to the Euler characteristic of the $A$-brane moduli
space. Using the natural torus action on this moduli space, we reduce the
computation of its Euler characteristic to a count of fixed points via
equivariant localization. Studying the $A$-branes that correspond to fixed
points, we make contact with definitions of spectral and exponential networks.
We find agreement between the counts defined via the Witten index, and the BPS
invariants defined by networks. By extension, our definition also matches with
Donaldson-Thomas invariants of $B$-branes related by homological mirror
symmetry.
| [
{
"created": "Fri, 28 Jan 2022 16:25:04 GMT",
"version": "v1"
}
] | 2023-04-26 | [
[
"Banerjee",
"Sibasish",
""
],
[
"Longhi",
"Pietro",
""
],
[
"Romo",
"Mauricio",
""
]
] | This paper studies a notion of enumerative invariants for stable $A$-branes, and discusses its relation to invariants defined by spectral and exponential networks. A natural definition of stable $A$-branes and their counts is provided by the string theoretic origin of the topological $A$-model. This is the Witten index of the supersymmetric quantum mechanics of a single $D3$ brane supported on a special Lagrangian in a Calabi-Yau threefold. Geometrically, this is closely related to the Euler characteristic of the $A$-brane moduli space. Using the natural torus action on this moduli space, we reduce the computation of its Euler characteristic to a count of fixed points via equivariant localization. Studying the $A$-branes that correspond to fixed points, we make contact with definitions of spectral and exponential networks. We find agreement between the counts defined via the Witten index, and the BPS invariants defined by networks. By extension, our definition also matches with Donaldson-Thomas invariants of $B$-branes related by homological mirror symmetry. |
2406.17388 | Mohaddese Shams Nejati | M. Shams Nejati, M. H. Vahidinia | Two-dimensional (bi-)scalar gravities from four-dimensional Horndeski | 25 pages, 0 figure | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a classical two-dimensional bi-scalar gravity based on the
Kaluza-Klein reduction applied to the four-dimensional Horndeski theory. One of
the scalar fields arises from the original four-dimensional theory, while the
extra scalar emerges from the reduction process. We also introduce a
two-dimensional bi-scalar identity that allows for a more concise and elegant
reformulation of the resulting bi-scalar Lagrangian. Additionally, we study the
linear perturbations around a static background to demonstrate that the
bi-scalar theory may support a single healthy propagating mode. Furthermore, by
restricting the scalar fields, we investigate a general single scalar theory
that is identical to the two-dimensional Horndeski theory up to a boundary
term. Our results provide a framework to map a generic two-dimensional dilaton
gravity into four-dimensional Horndeski theory.
| [
{
"created": "Tue, 25 Jun 2024 09:08:07 GMT",
"version": "v1"
}
] | 2024-06-26 | [
[
"Nejati",
"M. Shams",
""
],
[
"Vahidinia",
"M. H.",
""
]
] | We develop a classical two-dimensional bi-scalar gravity based on the Kaluza-Klein reduction applied to the four-dimensional Horndeski theory. One of the scalar fields arises from the original four-dimensional theory, while the extra scalar emerges from the reduction process. We also introduce a two-dimensional bi-scalar identity that allows for a more concise and elegant reformulation of the resulting bi-scalar Lagrangian. Additionally, we study the linear perturbations around a static background to demonstrate that the bi-scalar theory may support a single healthy propagating mode. Furthermore, by restricting the scalar fields, we investigate a general single scalar theory that is identical to the two-dimensional Horndeski theory up to a boundary term. Our results provide a framework to map a generic two-dimensional dilaton gravity into four-dimensional Horndeski theory. |
hep-th/0305036 | Daniel Grumiller | D. Grumiller, W. Kummer and D.V. Vassilevich | Positive specific heat of the quantum corrected dilaton black hole | 18 pages, JHEP style, 1 eps figure, v2: extended the discussion,
added new formulas for mass change, added three new references (in particular
[35]) | JHEP 0307 (2003) 009 | 10.1088/1126-6708/2003/07/009 | TU-03-12 | hep-th gr-qc | null | Path integral quantization of dilaton gravity in two dimensions is applied to
the CGHS model to the first nontrivial order in matter loops. Our approach is
background independent as geometry is integrated out exactly. The result is an
effective shift of the Killing norm: the apparent horizon becomes smaller. The
Hawking temperature which is constant to leading order receives a quantum
correction. As a consequence, the specific heat becomes positive and
proportional to the square of the black hole mass.
| [
{
"created": "Mon, 5 May 2003 13:51:48 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jun 2003 08:39:30 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Grumiller",
"D.",
""
],
[
"Kummer",
"W.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] | Path integral quantization of dilaton gravity in two dimensions is applied to the CGHS model to the first nontrivial order in matter loops. Our approach is background independent as geometry is integrated out exactly. The result is an effective shift of the Killing norm: the apparent horizon becomes smaller. The Hawking temperature which is constant to leading order receives a quantum correction. As a consequence, the specific heat becomes positive and proportional to the square of the black hole mass. |
1008.1581 | Thomas Faulkner | Thomas Faulkner, Gary T. Horowitz, Matthew M. Roberts | Holographic quantum criticality from multi-trace deformations | v2: minor edits and added references | JHEP 1104:051,2011 | 10.1007/JHEP04(2011)051 | NSF-KITP-11-003 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the consequences of multi-trace deformations in applications of
gauge-gravity duality to condensed matter physics. We find that they introduce
a powerful new "knob" that can implement spontaneous symmetry breaking, and can
be used to construct a new type of holographic superconductor. This knob can be
tuned to drive the critical temperature to zero, leading to a new quantum
critical point. We calculate nontrivial critical exponents, and show that
fluctuations of the order parameter are `locally' quantum critical in the
disordered phase. Most notably the dynamical critical exponent is determined by
the dimension of an operator at the critical point. We argue that the results
are robust against quantum corrections and discuss various generalizations.
| [
{
"created": "Mon, 9 Aug 2010 20:01:29 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jan 2011 22:11:01 GMT",
"version": "v2"
}
] | 2011-04-20 | [
[
"Faulkner",
"Thomas",
""
],
[
"Horowitz",
"Gary T.",
""
],
[
"Roberts",
"Matthew M.",
""
]
] | We explore the consequences of multi-trace deformations in applications of gauge-gravity duality to condensed matter physics. We find that they introduce a powerful new "knob" that can implement spontaneous symmetry breaking, and can be used to construct a new type of holographic superconductor. This knob can be tuned to drive the critical temperature to zero, leading to a new quantum critical point. We calculate nontrivial critical exponents, and show that fluctuations of the order parameter are `locally' quantum critical in the disordered phase. Most notably the dynamical critical exponent is determined by the dimension of an operator at the critical point. We argue that the results are robust against quantum corrections and discuss various generalizations. |
hep-th/9202058 | null | Katsushi Ito and Jens Ole Madsen | Hamiltonian Reduction and Classical Extended Superconformal Algebras | 13 pages | Phys.Lett. B283 (1992) 223-230 | 10.1016/0370-2693(92)90012-S | null | hep-th | null | We present a systematic construction of classical extended superconformal
algebras from the hamiltonian reduction of a class of affine Lie superalgebras,
which include an even subalgebra $sl(2)$. In particular, we obtain the doubly
extended $N=4$ superconformal algebra $\tilde{A}_{\gamma}$ from the hamiltonian
reduction of the exceptional Lie superalgebra $D(2|1;\gamma/(1-\gamma))$. We
also find the Miura transformation for these algebras and give the free field
representation. A $W$-algebraic generalization is discussed.
| [
{
"created": "Tue, 18 Feb 1992 12:02:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Ito",
"Katsushi",
""
],
[
"Madsen",
"Jens Ole",
""
]
] | We present a systematic construction of classical extended superconformal algebras from the hamiltonian reduction of a class of affine Lie superalgebras, which include an even subalgebra $sl(2)$. In particular, we obtain the doubly extended $N=4$ superconformal algebra $\tilde{A}_{\gamma}$ from the hamiltonian reduction of the exceptional Lie superalgebra $D(2|1;\gamma/(1-\gamma))$. We also find the Miura transformation for these algebras and give the free field representation. A $W$-algebraic generalization is discussed. |
hep-th/9911119 | Fidel Schaposnik | H.R. Christiansen, N. Grandi, F.A. Schaposnik, G. Silva | Non-BPS Dyons and Branes in the Dirac-Born-Infeld Theory | 16 pages, 4 figures, Revtex file | Phys.Rev. D61 (2000) 105016 | 10.1103/PhysRevD.61.105016 | null | hep-th | null | Non-BPS dyon solutions to D3-brane actions are constructed when one or more
scalar fields describing transverse fluctuations of the brane, are considered.
The picture emerging from such non-BPS configurations is analysed, in
particular the response of the D-brane-string system to small perturbations.
| [
{
"created": "Tue, 16 Nov 1999 11:13:37 GMT",
"version": "v1"
}
] | 2009-08-13 | [
[
"Christiansen",
"H. R.",
""
],
[
"Grandi",
"N.",
""
],
[
"Schaposnik",
"F. A.",
""
],
[
"Silva",
"G.",
""
]
] | Non-BPS dyon solutions to D3-brane actions are constructed when one or more scalar fields describing transverse fluctuations of the brane, are considered. The picture emerging from such non-BPS configurations is analysed, in particular the response of the D-brane-string system to small perturbations. |
0805.4464 | Ahmad Sheykhi | A. Sheykhi, M. Allahverdizadeh, Y. Bahrampour and M. Rahnama | Asymptotically flat charged rotating dilaton black holes in higher
dimensions | 9 pages, 1 figure | Phys.Lett.B666:82-85,2008 | 10.1016/j.physletb.2008.06.068 | null | hep-th | http://creativecommons.org/licenses/by/3.0/ | We find a class of asymptotically flat slowly rotating charged black hole
solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling
constant in higher dimensions. Our solution is the correct one generalizing the
four-dimensional case of Horne and Horowitz \cite{Hor1}. In the absence of a
dilaton field, our solution reduces to the higher dimensional slowly rotating
Kerr-Newman black hole solution. The angular momentum and the gyromagnetic
ratio of these rotating dilaton black holes are computed. It is shown that the
dilaton field modifies the gyromagnetic ratio of the black holes.
| [
{
"created": "Thu, 29 May 2008 03:26:09 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sheykhi",
"A.",
""
],
[
"Allahverdizadeh",
"M.",
""
],
[
"Bahrampour",
"Y.",
""
],
[
"Rahnama",
"M.",
""
]
] | We find a class of asymptotically flat slowly rotating charged black hole solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling constant in higher dimensions. Our solution is the correct one generalizing the four-dimensional case of Horne and Horowitz \cite{Hor1}. In the absence of a dilaton field, our solution reduces to the higher dimensional slowly rotating Kerr-Newman black hole solution. The angular momentum and the gyromagnetic ratio of these rotating dilaton black holes are computed. It is shown that the dilaton field modifies the gyromagnetic ratio of the black holes. |
hep-th/9110008 | Dieter L\"ust | D. Luest | Duality Invariant Effective String Actions and Minimal Superstring
Unification | 9 pages | Conf.Proc.C910725V1:307-310,1991 | null | null | hep-th | null | Some results are presented concerning duality invariant effective string
actions and the construction of automorphic functions for general (2,2) string
compactifications. These considerations are applied in order to discuss the
{\it minimal} unification of gauge coupling constants in orbifold
compactifications with special emphasis on string threshold corrections.
| [
{
"created": "Wed, 2 Oct 1991 14:58:29 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Luest",
"D.",
""
]
] | Some results are presented concerning duality invariant effective string actions and the construction of automorphic functions for general (2,2) string compactifications. These considerations are applied in order to discuss the {\it minimal} unification of gauge coupling constants in orbifold compactifications with special emphasis on string threshold corrections. |
hep-th/0004176 | Langmann Edwin | Harald Grosse and Edwin Langmann | Chiral Schwinger models without gauge anomalies | 18 pages | Nucl.Phys. B587 (2000) 568-584 | 10.1016/S0550-3213(00)00481-8 | null | hep-th | null | We find a large class of quantum gauge models with massless fermions where
the coupling to the gauge fields is not chirally symmetric and which
nevertheless do not suffer from gauge anomalies. To be specific we study two
dimensional Abelian models in the Hamiltonian framework which can be
constructed and solved by standard techniques. The general model describes
$\Np$ photon fields and $\Nf$ flavors of Dirac fermions with $2\Nf\Np$
different coupling constants i.e. the chiral component of each fermion can be
coupled to the gauge fields differently. We construct these models and find
conditions so that no gauge anomaly appears. If these conditions hold it is
possible to construct and solve the model explicitly, so that gauge- and
Lorentz invariance are manifest.
| [
{
"created": "Tue, 25 Apr 2000 17:58:05 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Grosse",
"Harald",
""
],
[
"Langmann",
"Edwin",
""
]
] | We find a large class of quantum gauge models with massless fermions where the coupling to the gauge fields is not chirally symmetric and which nevertheless do not suffer from gauge anomalies. To be specific we study two dimensional Abelian models in the Hamiltonian framework which can be constructed and solved by standard techniques. The general model describes $\Np$ photon fields and $\Nf$ flavors of Dirac fermions with $2\Nf\Np$ different coupling constants i.e. the chiral component of each fermion can be coupled to the gauge fields differently. We construct these models and find conditions so that no gauge anomaly appears. If these conditions hold it is possible to construct and solve the model explicitly, so that gauge- and Lorentz invariance are manifest. |
2209.05792 | Jyotirmoy Mukherjee Mukherjee | Justin R. David, Jyotirmoy Mukherjee | Entanglement entropy of local gravitational quenches | References added | null | 10.1007/JHEP04(2023)028 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the time dependence of R\'{e}nyi/entanglement entropies of locally
excited states created by fields with integer spins $s \leq 2$ in $4$
dimensions. For spins 0, 1 these states are characterised by localised energy
densities of a given width which travel as a spherical wave at the speed of
light. For the spin 2 case, in the absence of a local gauge invariant stress
tensor, we probe these states with the Kretschmann scalar and show they
represent localised curvature densities which travel at the speed of light. We
consider the reduced density matrix of the half space with these excitations
and develop methods which include a convenient gauge choice to evaluate the
time dependence of R\'{e}nyi/entanglement entropies as these quenches enter the
half region. In all cases, the entanglement entropy grows in time and saturates
at $\log 2 $. In the limit, the width of these excitations tends to zero, the
growth is determined by order $2s+1$ polynomials in the ratio of the distance
from the co-dimension-2 entangling surface and time. The polynomials
corresponding to quenches created by the fields can be organised in terms of
their representations under the $SO(2)_T\times SO(2)_L$ symmetry preserved by
the presence of the co-dimension 2 entangling surface. For fields transforming
as scalars under this symmetry, the order $2s+1$ polynomial is completely
determined by the spin.
| [
{
"created": "Tue, 13 Sep 2022 07:44:08 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Oct 2022 11:35:19 GMT",
"version": "v2"
}
] | 2023-04-26 | [
[
"David",
"Justin R.",
""
],
[
"Mukherjee",
"Jyotirmoy",
""
]
] | We study the time dependence of R\'{e}nyi/entanglement entropies of locally excited states created by fields with integer spins $s \leq 2$ in $4$ dimensions. For spins 0, 1 these states are characterised by localised energy densities of a given width which travel as a spherical wave at the speed of light. For the spin 2 case, in the absence of a local gauge invariant stress tensor, we probe these states with the Kretschmann scalar and show they represent localised curvature densities which travel at the speed of light. We consider the reduced density matrix of the half space with these excitations and develop methods which include a convenient gauge choice to evaluate the time dependence of R\'{e}nyi/entanglement entropies as these quenches enter the half region. In all cases, the entanglement entropy grows in time and saturates at $\log 2 $. In the limit, the width of these excitations tends to zero, the growth is determined by order $2s+1$ polynomials in the ratio of the distance from the co-dimension-2 entangling surface and time. The polynomials corresponding to quenches created by the fields can be organised in terms of their representations under the $SO(2)_T\times SO(2)_L$ symmetry preserved by the presence of the co-dimension 2 entangling surface. For fields transforming as scalars under this symmetry, the order $2s+1$ polynomial is completely determined by the spin. |
1809.10983 | S. Weinzierl | Marco Besier, Duco van Straten and Stefan Weinzierl | Rationalizing roots: an algorithmic approach | 37 pages, version to be published | null | null | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the computation of Feynman integrals which evaluate to multiple
polylogarithms one encounters quite often square roots. To express the Feynman
integral in terms of multiple polylogarithms, one seeks a transformation of
variables, which rationalizes the square roots. In this paper, we give an
algorithm for rationalizing roots. The algorithm is applicable whenever the
algebraic hypersurface associated with the root has a point of multiplicity
$(d-1)$, where $d$ is the degree of the algebraic hypersurface. We show that
one can use the algorithm iteratively to rationalize multiple roots
simultaneously. Several examples from high energy physics are discussed.
| [
{
"created": "Fri, 28 Sep 2018 12:17:20 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2018 19:52:35 GMT",
"version": "v2"
}
] | 2018-12-07 | [
[
"Besier",
"Marco",
""
],
[
"van Straten",
"Duco",
""
],
[
"Weinzierl",
"Stefan",
""
]
] | In the computation of Feynman integrals which evaluate to multiple polylogarithms one encounters quite often square roots. To express the Feynman integral in terms of multiple polylogarithms, one seeks a transformation of variables, which rationalizes the square roots. In this paper, we give an algorithm for rationalizing roots. The algorithm is applicable whenever the algebraic hypersurface associated with the root has a point of multiplicity $(d-1)$, where $d$ is the degree of the algebraic hypersurface. We show that one can use the algorithm iteratively to rationalize multiple roots simultaneously. Several examples from high energy physics are discussed. |
hep-th/9604192 | Michael Strickland | Michael Strickland and Sen-Ben Liao | Effective Critical Exponents from Finite Temperature Renormalization
Group | RevTeX, 8 pages, Short version of hep-th/9604125 | null | null | DUKE-TH-96-110 | hep-th | null | Effective critical exponents for the \lambda \phi^4 scalar field theory are
calculated as a function of the renormalization group block size k_o^{-1} and
inverse critical temperature \beta_c. Exact renormalization group equations are
presented up to first order in the derivative expansion and numerical solutions
are obtained with and without polynomial expansion of the blocked potential.
For a finite temperature system in d dimensions, it is shown that \bar\beta_c =
\beta_c k_o determines whether the d-dimensional (\bar\beta_c << 1) or
(d+1)-dimensional (\bar\beta_c >> 1) fixed point governs the phase transition.
The validity of a polynomial expansion of the blocked potential near
criticality is also addressed.
| [
{
"created": "Tue, 30 Apr 1996 05:33:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Strickland",
"Michael",
""
],
[
"Liao",
"Sen-Ben",
""
]
] | Effective critical exponents for the \lambda \phi^4 scalar field theory are calculated as a function of the renormalization group block size k_o^{-1} and inverse critical temperature \beta_c. Exact renormalization group equations are presented up to first order in the derivative expansion and numerical solutions are obtained with and without polynomial expansion of the blocked potential. For a finite temperature system in d dimensions, it is shown that \bar\beta_c = \beta_c k_o determines whether the d-dimensional (\bar\beta_c << 1) or (d+1)-dimensional (\bar\beta_c >> 1) fixed point governs the phase transition. The validity of a polynomial expansion of the blocked potential near criticality is also addressed. |
hep-th/0110046 | null | C. P. Martin (Universidad Complutense de Madrid) | The covariant form of the gauge anomaly on noncommutative R2n | 18 pages, no figures | Nucl.Phys. B623 (2002) 150-164 | 10.1016/S0550-3213(01)00642-3 | UCM-FT/00-65-2001 | hep-th | null | The covariant form of the non-Abelian gauge anomaly on noncommutative R2n is
computed for U(N) groups. Its origin and properties are analyzed. Its
connection with the consistent form of the gauge anomaly is established. We
show along the way that bi-fundamental $U(N)\times U(M)$ chiral matter carries
no mixed anomalies, and interpret this result as a consequence of the
half-dipole structure which characterizes the charged non-commutative degrees
of freedom.
| [
{
"created": "Thu, 4 Oct 2001 16:17:20 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Martin",
"C. P.",
"",
"Universidad Complutense de Madrid"
]
] | The covariant form of the non-Abelian gauge anomaly on noncommutative R2n is computed for U(N) groups. Its origin and properties are analyzed. Its connection with the consistent form of the gauge anomaly is established. We show along the way that bi-fundamental $U(N)\times U(M)$ chiral matter carries no mixed anomalies, and interpret this result as a consequence of the half-dipole structure which characterizes the charged non-commutative degrees of freedom. |
1312.0447 | Caio Costa | Caio V. Costa, Dmitri M. Gitman, Anatoly E. Shabad | Finite field-energy of a point charge in QED | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a simple nonlinear (quartic in the fields) gauge-invariant
modification of classical electrodynamics, which possesses a regularizing
ability sufficient to make the field energy of a point charge finite. The model
is exactly solved in the class of static central-symmetric electric fields.
Collation with quantum electrodynamics (QED) results in the total field energy
about twice the electron mass. The proof of the finiteness of the field energy
is extended to include any polynomial selfinteraction, thereby the one that
stems from the truncated expansion of the Euler-Heisenberg local Lagrangian in
QED in powers of the field strenth.
| [
{
"created": "Mon, 2 Dec 2013 13:27:43 GMT",
"version": "v1"
}
] | 2013-12-03 | [
[
"Costa",
"Caio V.",
""
],
[
"Gitman",
"Dmitri M.",
""
],
[
"Shabad",
"Anatoly E.",
""
]
] | We consider a simple nonlinear (quartic in the fields) gauge-invariant modification of classical electrodynamics, which possesses a regularizing ability sufficient to make the field energy of a point charge finite. The model is exactly solved in the class of static central-symmetric electric fields. Collation with quantum electrodynamics (QED) results in the total field energy about twice the electron mass. The proof of the finiteness of the field energy is extended to include any polynomial selfinteraction, thereby the one that stems from the truncated expansion of the Euler-Heisenberg local Lagrangian in QED in powers of the field strenth. |
hep-th/9301128 | null | K.G.Selivanov | Geometry and Physics on $w_{\infty}$ Orbits | 19 pages, LATEX, with notation $w_N$ changed to $\bar{w}_N$, with 3
more references and with note added in proof | Mod. Phys. Lett. A8 (1993) 1139 | 10.1142/S0217732393002622 | BONN-HE-93/06 | hep-th | null | We apply the coadjoint orbit technique to the group of area preserving
diffeomorphisms (APD) of a 2D manifold, particularly to the APD of the
semi-infinite cylinder which is identified with $w_{\infty}$. The geometrical
action obtained is relevant to both $w$ gravity and 2D turbulence. For the
latter we describe the hamiltonian, which appears to be given by the Schwinger
mass term, and discuss some possible developments within our approach. Next we
show that the set of highest weight orbits of $w_{\infty}$ splits into subsets,
each of which consists of highest weight orbits of $\bar{w}_N$ for a given N.
We specify the general APD geometric action to an orbit of $\bar{w}_N$ and
describe an appropriate set of observables, thus getting an action and
observables for $\bar{w}_N$ gravity. We compute also the Ricci form on the
$\bar{w}_N$ orbits, what gives us the critical central charge of the
$\bar{w}_N$ string, which appears to be the same as the one of the $W_N$
string.
| [
{
"created": "Sat, 30 Jan 1993 18:39:42 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Feb 1993 21:00:06 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Selivanov",
"K. G.",
""
]
] | We apply the coadjoint orbit technique to the group of area preserving diffeomorphisms (APD) of a 2D manifold, particularly to the APD of the semi-infinite cylinder which is identified with $w_{\infty}$. The geometrical action obtained is relevant to both $w$ gravity and 2D turbulence. For the latter we describe the hamiltonian, which appears to be given by the Schwinger mass term, and discuss some possible developments within our approach. Next we show that the set of highest weight orbits of $w_{\infty}$ splits into subsets, each of which consists of highest weight orbits of $\bar{w}_N$ for a given N. We specify the general APD geometric action to an orbit of $\bar{w}_N$ and describe an appropriate set of observables, thus getting an action and observables for $\bar{w}_N$ gravity. We compute also the Ricci form on the $\bar{w}_N$ orbits, what gives us the critical central charge of the $\bar{w}_N$ string, which appears to be the same as the one of the $W_N$ string. |
hep-th/0309271 | Mario Rocca | C.G.Bollini and M.C.Rocca | Convolution of n-dimensional Tempered Ultradistributions and Field
Theory | 28 pages | Int.J.Theor.Phys. 43 (2004) 59-76 | 10.1023/B:IJTP.0000028850.35090.24 | null | hep-th | null | In this work, a general definition of convolution between two arbitrary
Tempered Ultradistributions is given. When one of the Tempered
Ultradistributions is rapidly decreasing this definition coincides with the
definition of J. Sebastiao e Silva. In the four-dimensional case, when the
Tempered Ultradistributions are even in the variables $k^0$ and $\rho$ (see
Section 5) we obtain an expression for the convolution, which is more suitable
for practical applications. The product of two arbitrary even (in the variables
$x^0$ and $r$) four dimensional distributions of exponential type is defined
via the convolution of its corresponding Fourier Transforms. With this
definition of convolution, we treat the problem of singular products of Green
Functions in Quantum Field Theory. (For Renormalizable as well as for
Nonrenormalizable Theories). Several examples of convolution of two Tempered
Ultradistributions are given. In particular we calculate the convolution of two
massless Wheeeler's propagators and the convolution of two complex mass
Wheeler's propagators.
| [
{
"created": "Tue, 30 Sep 2003 19:22:16 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Bollini",
"C. G.",
""
],
[
"Rocca",
"M. C.",
""
]
] | In this work, a general definition of convolution between two arbitrary Tempered Ultradistributions is given. When one of the Tempered Ultradistributions is rapidly decreasing this definition coincides with the definition of J. Sebastiao e Silva. In the four-dimensional case, when the Tempered Ultradistributions are even in the variables $k^0$ and $\rho$ (see Section 5) we obtain an expression for the convolution, which is more suitable for practical applications. The product of two arbitrary even (in the variables $x^0$ and $r$) four dimensional distributions of exponential type is defined via the convolution of its corresponding Fourier Transforms. With this definition of convolution, we treat the problem of singular products of Green Functions in Quantum Field Theory. (For Renormalizable as well as for Nonrenormalizable Theories). Several examples of convolution of two Tempered Ultradistributions are given. In particular we calculate the convolution of two massless Wheeeler's propagators and the convolution of two complex mass Wheeler's propagators. |
hep-th/0302186 | Ram Brustein | Ram Brustein, Amos Yarom | Dimensional reduction from entanglement in Minkowski space | 9 pages, changes to presentation, some content corrections, version
published in JHEP | JHEP0501:046,2005 | 10.1088/1126-6708/2005/01/046 | null | hep-th | null | Using a quantum field theoretic setting, we present evidence for dimensional
reduction of any sub-volume of Minkowksi space. First, we show that correlation
functions of a class of operators restricted to a sub-volume of D-dimensional
Minkowski space scale as its surface area. A simple example of such area
scaling is provided by the energy fluctuations of a free massless quantum field
in its vacuum state. This is reminiscent of area scaling of entanglement
entropy but applies to quantum expectation values in a pure state, rather than
to statistical averages over a mixed state. We then show, in a specific case,
that fluctuations in the bulk have a lower-dimensional representation in terms
of a boundary theory at high temperature.
| [
{
"created": "Mon, 24 Feb 2003 13:16:45 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Feb 2004 11:00:24 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Feb 2005 15:01:46 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Brustein",
"Ram",
""
],
[
"Yarom",
"Amos",
""
]
] | Using a quantum field theoretic setting, we present evidence for dimensional reduction of any sub-volume of Minkowksi space. First, we show that correlation functions of a class of operators restricted to a sub-volume of D-dimensional Minkowski space scale as its surface area. A simple example of such area scaling is provided by the energy fluctuations of a free massless quantum field in its vacuum state. This is reminiscent of area scaling of entanglement entropy but applies to quantum expectation values in a pure state, rather than to statistical averages over a mixed state. We then show, in a specific case, that fluctuations in the bulk have a lower-dimensional representation in terms of a boundary theory at high temperature. |
1904.05905 | Murat Kolo\u{g}lu | Murat Kologlu, Petr Kravchuk, David Simmons-Duffin, and Alexander
Zhiboedov | Shocks, Superconvergence, and a Stringy Equivalence Principle | 93 pages plus appendices | null | 10.1007/JHEP11(2020)096 | CALT-TH 2019-012, CERN-TH-2019-040 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study propagation of a probe particle through a series of closely situated
gravitational shocks. We argue that in any UV-complete theory of gravity the
result does not depend on the shock ordering - in other words, coincident
gravitational shocks commute. Shock commutativity leads to nontrivial
constraints on low-energy effective theories. In particular, it excludes
non-minimal gravitational couplings unless extra degrees of freedom are
judiciously added. In flat space, these constraints are encoded in the
vanishing of a certain "superconvergence sum rule." In AdS, shock commutativity
becomes the statement that average null energy (ANEC) operators commute in the
dual CFT. We prove commutativity of ANEC operators in any unitary CFT and
establish sufficient conditions for commutativity of more general light-ray
operators. Superconvergence sum rules on CFT data can be obtained by inserting
complete sets of states between light-ray operators. In a planar 4d CFT, these
sum rules express (a-c)/c in terms of the OPE data of single-trace operators.
| [
{
"created": "Thu, 11 Apr 2019 18:00:47 GMT",
"version": "v1"
}
] | 2020-12-30 | [
[
"Kologlu",
"Murat",
""
],
[
"Kravchuk",
"Petr",
""
],
[
"Simmons-Duffin",
"David",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] | We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on the shock ordering - in other words, coincident gravitational shocks commute. Shock commutativity leads to nontrivial constraints on low-energy effective theories. In particular, it excludes non-minimal gravitational couplings unless extra degrees of freedom are judiciously added. In flat space, these constraints are encoded in the vanishing of a certain "superconvergence sum rule." In AdS, shock commutativity becomes the statement that average null energy (ANEC) operators commute in the dual CFT. We prove commutativity of ANEC operators in any unitary CFT and establish sufficient conditions for commutativity of more general light-ray operators. Superconvergence sum rules on CFT data can be obtained by inserting complete sets of states between light-ray operators. In a planar 4d CFT, these sum rules express (a-c)/c in terms of the OPE data of single-trace operators. |
1603.09424 | Patrick Concha | P.K. Concha, R. Durka, C. Inostroza, N. Merino, E.K. Rodr\'iguez | Pure Lovelock gravity and Chern-Simons theory | 23 pages; V4: published version | Phys. Rev. D 94, 024055 (2016) | 10.1103/PhysRevD.94.024055 | UAI-PHY-16/04 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the possibility of finding Pure Lovelock gravity as a particular
limit of a Chern-Simons action for a specific expansion of the AdS algebra in
odd dimensions. We derive this relation at the level of the action in five and
seven dimensions. Additionally we provide the general result for higher
dimensions and discuss some issues arising from the obtained dynamics.
| [
{
"created": "Thu, 31 Mar 2016 00:22:59 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Apr 2016 02:37:28 GMT",
"version": "v2"
},
{
"created": "Thu, 26 May 2016 03:49:03 GMT",
"version": "v3"
},
{
"created": "Fri, 29 Jul 2016 16:35:36 GMT",
"version": "v4"
}
] | 2016-08-01 | [
[
"Concha",
"P. K.",
""
],
[
"Durka",
"R.",
""
],
[
"Inostroza",
"C.",
""
],
[
"Merino",
"N.",
""
],
[
"Rodríguez",
"E. K.",
""
]
] | We explore the possibility of finding Pure Lovelock gravity as a particular limit of a Chern-Simons action for a specific expansion of the AdS algebra in odd dimensions. We derive this relation at the level of the action in five and seven dimensions. Additionally we provide the general result for higher dimensions and discuss some issues arising from the obtained dynamics. |
1303.3006 | Silviu Pufu | Silviu S. Pufu and Subir Sachdev | Monopoles in 2+1-dimensional conformal field theories with global U(1)
symmetry | 20 pages, 1 figure | JHEP 1309 (2013) 127 | 10.1007/JHEP09(2013)127 | MIT-CTP-4447 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In 2+1-dimensional conformal field theories with a global U(1) symmetry,
monopoles can be introduced through a background gauge field that couples to
the U(1) conserved current. We use the state-operator correspondence to
calculate scaling dimensions of such monopoles. We obtain the next-to-leading
term in the 1/N_b expansion of the Wilson-Fisher fixed point in the theory of
N_b complex bosons.
| [
{
"created": "Tue, 12 Mar 2013 20:00:02 GMT",
"version": "v1"
}
] | 2013-11-18 | [
[
"Pufu",
"Silviu S.",
""
],
[
"Sachdev",
"Subir",
""
]
] | In 2+1-dimensional conformal field theories with a global U(1) symmetry, monopoles can be introduced through a background gauge field that couples to the U(1) conserved current. We use the state-operator correspondence to calculate scaling dimensions of such monopoles. We obtain the next-to-leading term in the 1/N_b expansion of the Wilson-Fisher fixed point in the theory of N_b complex bosons. |
hep-th/9805092 | F. Riva | M. Pernici, M. Raciti and F. Riva | Hard-soft renormalization of the massless Wess-Zumino model | 11 pages, 3 figures | Phys.Lett. B440 (1998) 305-312 | 10.1016/S0370-2693(98)01111-3 | IFUM 621/FT | hep-th | null | We show that in a Wilsonian renormalization scheme with zero-momentum
subtraction point the massless Wess-Zumino model satisfies the
non-renormalization theorem; the finite renormalization of the superpotential
appearing in the usual non-zero momentum subtraction schemes is thus avoided.
We give an exact expression of the beta and gamma functions in terms of the
Wilsonian effective action; we prove the expected relation $\beta = 3g\gamma$.
We compute the beta function at the first two loops, finding agreement with
previous results.
| [
{
"created": "Fri, 15 May 1998 10:36:24 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Pernici",
"M.",
""
],
[
"Raciti",
"M.",
""
],
[
"Riva",
"F.",
""
]
] | We show that in a Wilsonian renormalization scheme with zero-momentum subtraction point the massless Wess-Zumino model satisfies the non-renormalization theorem; the finite renormalization of the superpotential appearing in the usual non-zero momentum subtraction schemes is thus avoided. We give an exact expression of the beta and gamma functions in terms of the Wilsonian effective action; we prove the expected relation $\beta = 3g\gamma$. We compute the beta function at the first two loops, finding agreement with previous results. |
1309.4445 | Jong-Ping Hsu | Jong-Ping Hsu | Exact Space-Time Gauge Symmetry of Gravity, Its Couplings and
Approximate Internal Symmetries in a Total-Unified Model | 19 pages, to be published in the Chinese Journal of Physics, 2013 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravitational field is the manifestation of space-time translational ($T_4$)
gauge symmetry, which enables gravitational interaction to be unified with the
strong and the electroweak interactions. Such a total-unified model is based on
a generalized Yang-Mills framework in flat space-time. Following the idea of
Glashow-Salam-Ward-Weinberg, we gauge the groups $T_4 \times (SU_3)_{color}
\times SU_2 \times U_1\times U_{1b}$ on equal-footing, so that we have the
total-unified gauge covariant derivative ${\bf \d}_{\mu} = \p_{\mu} -
ig\phi_{\mu}^{\nu} p_{\nu}+ig_{s}{G_{\mu}^{a}}(\ld^a/2) +if{W_{\mu}^{k}}{t^k} +
if' U_{\mu}t_{o} + ig_{b}B_{\mu}$. The generators of the external $T_4$ group
have the representation $p_{\mu}=i\p_{\mu}$, which differs from other
generators of all internal groups, which have constant matrix representations.
Consequently, the total-unified model leads to the following new results: (a)
All internal $(SU_3)_{color}, SU_2, U_1$ and baryonic $U_{1b}$ gauge symmetries
have extremely small violations due to the gravitational interaction. (b) The
$T_4$ gauge symmetry remains exact and dictates the universal coupling of
gravitons. (c) Such a gravitational violation of internal gauge symmetries
leads to modified eikonal and Hamilton-Jacobi type equations, which are
obtained in the geometric-optics limit and involve effective Riemann metric
tensors. (d) The rules for Feynman diagrams involving new couplings of
photon-graviton, gluon-graviton and quark-gaviton are obtained.
| [
{
"created": "Tue, 17 Sep 2013 19:20:10 GMT",
"version": "v1"
}
] | 2013-09-19 | [
[
"Hsu",
"Jong-Ping",
""
]
] | Gravitational field is the manifestation of space-time translational ($T_4$) gauge symmetry, which enables gravitational interaction to be unified with the strong and the electroweak interactions. Such a total-unified model is based on a generalized Yang-Mills framework in flat space-time. Following the idea of Glashow-Salam-Ward-Weinberg, we gauge the groups $T_4 \times (SU_3)_{color} \times SU_2 \times U_1\times U_{1b}$ on equal-footing, so that we have the total-unified gauge covariant derivative ${\bf \d}_{\mu} = \p_{\mu} - ig\phi_{\mu}^{\nu} p_{\nu}+ig_{s}{G_{\mu}^{a}}(\ld^a/2) +if{W_{\mu}^{k}}{t^k} + if' U_{\mu}t_{o} + ig_{b}B_{\mu}$. The generators of the external $T_4$ group have the representation $p_{\mu}=i\p_{\mu}$, which differs from other generators of all internal groups, which have constant matrix representations. Consequently, the total-unified model leads to the following new results: (a) All internal $(SU_3)_{color}, SU_2, U_1$ and baryonic $U_{1b}$ gauge symmetries have extremely small violations due to the gravitational interaction. (b) The $T_4$ gauge symmetry remains exact and dictates the universal coupling of gravitons. (c) Such a gravitational violation of internal gauge symmetries leads to modified eikonal and Hamilton-Jacobi type equations, which are obtained in the geometric-optics limit and involve effective Riemann metric tensors. (d) The rules for Feynman diagrams involving new couplings of photon-graviton, gluon-graviton and quark-gaviton are obtained. |
hep-th/9907204 | Simon F. Ross | S. B. Giddings and S. F. Ross | D3-brane shells to black branes on the Coulomb branch | 11p, Latex, 2 figures, minor change to references | Phys. Rev. D 61, 024036 (1999) | 10.1103/PhysRevD.61.024036 | null | hep-th | null | We use the AdS/CFT duality to study the special point on the Coulomb branch
of ${\cal N}=4$ SU(N) gauge theory which corresponds to a spherically symmetric
shell of D3-branes. This point is of interest both because the spacetime region
inside the shell is flat, and because this configuration gives a very simple
example of the transition between D-branes in the perturbative string regime
and the non-perturbative regime of black holes. We discuss how this geometry is
described in the dual gauge theory, through its effect on the two-point
functions and Wilson loops. In the calculation of the two-point function, we
stress the importance of absorption by the branes.
| [
{
"created": "Tue, 27 Jul 1999 21:41:24 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jul 1999 18:00:34 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Giddings",
"S. B.",
""
],
[
"Ross",
"S. F.",
""
]
] | We use the AdS/CFT duality to study the special point on the Coulomb branch of ${\cal N}=4$ SU(N) gauge theory which corresponds to a spherically symmetric shell of D3-branes. This point is of interest both because the spacetime region inside the shell is flat, and because this configuration gives a very simple example of the transition between D-branes in the perturbative string regime and the non-perturbative regime of black holes. We discuss how this geometry is described in the dual gauge theory, through its effect on the two-point functions and Wilson loops. In the calculation of the two-point function, we stress the importance of absorption by the branes. |
2209.12945 | Daniel Jim\'enez-Aguilar | Jose J. Blanco-Pillado, Daniel Jim\'enez-Aguilar, Jose M. Queiruga,
Jon Urrestilla | The dynamics of Domain Wall Strings | 37 pages + appendices, 15 figures. Published version | JCAP 05 (2023) 011 | 10.1088/1475-7516/2023/05/011 | null | hep-th astro-ph.CO gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the dynamics of domain wall solitons in $(2+1)d$ field theories.
These objects are extended along one of the spatial directions, so they also
behave as strings; hence the name of domain wall strings. We show analytically
and numerically that the amount of radiation from the propagation of wiggles on
these objects is negligible except for regions of high curvature. Therefore, at
low curvatures, the domain wall strings behave exactly as the Nambu-Goto action
predicts. We show this explicitly with the use of several different numerical
experiments of the evolution of these objects in a lattice. We then explore
their dynamics in the presence of internal mode excitations. We do this again
by performing field theory simulations and identify an effective action that
captures the relevant interactions between the different degrees of freedom
living on the string. We uncover a new parametric resonance instability that
transfers energy from the internal mode to the position of the domain wall. We
show that this instability accelerates the radiation of the internal mode
energy. We also explore the possibility of exciting the internal mode of the
soliton with the collision of wiggles on the domain wall. Our numerical
experiments indicate that this does not happen unless the wiggles have already
a wavelength of the order of the string thickness. Finally, we comment on the
possible relevance of our findings to cosmological networks of defects. We
argue that our results cast some doubts on the significance of the internal
modes in cosmological applications beyond a brief transient period right after
their formation. This, however, should be further investigated using
cosmological simulations of our model.
| [
{
"created": "Mon, 26 Sep 2022 18:30:00 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 2023 19:55:37 GMT",
"version": "v2"
}
] | 2023-05-10 | [
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Jiménez-Aguilar",
"Daniel",
""
],
[
"Queiruga",
"Jose M.",
""
],
[
"Urrestilla",
"Jon",
""
]
] | We study the dynamics of domain wall solitons in $(2+1)d$ field theories. These objects are extended along one of the spatial directions, so they also behave as strings; hence the name of domain wall strings. We show analytically and numerically that the amount of radiation from the propagation of wiggles on these objects is negligible except for regions of high curvature. Therefore, at low curvatures, the domain wall strings behave exactly as the Nambu-Goto action predicts. We show this explicitly with the use of several different numerical experiments of the evolution of these objects in a lattice. We then explore their dynamics in the presence of internal mode excitations. We do this again by performing field theory simulations and identify an effective action that captures the relevant interactions between the different degrees of freedom living on the string. We uncover a new parametric resonance instability that transfers energy from the internal mode to the position of the domain wall. We show that this instability accelerates the radiation of the internal mode energy. We also explore the possibility of exciting the internal mode of the soliton with the collision of wiggles on the domain wall. Our numerical experiments indicate that this does not happen unless the wiggles have already a wavelength of the order of the string thickness. Finally, we comment on the possible relevance of our findings to cosmological networks of defects. We argue that our results cast some doubts on the significance of the internal modes in cosmological applications beyond a brief transient period right after their formation. This, however, should be further investigated using cosmological simulations of our model. |
hep-th/0208069 | Yasutaka Katagiri | Yasutaka Katagiri and Noriaki Kitazawa | Fermionic zeromodes in heterotic fivebrane backgrounds | 9 pages | Prog.Theor.Phys. 110 (2004) 1211-1217 | 10.1143/PTP.110.1211 | null | hep-th | null | We investigate the explicit form of the fermionic zeromodes in heterotic
fivebrane backgrounds. By explicitly solving the fermionic field equations in
fivebrane backgrounds, two normalizable and physical fermionic zeromodes are
obtained. Each of these zeromodes has a non-vanishing gravitino component. We
suggest a possible scenario of the gravitino pair condensation.
| [
{
"created": "Fri, 9 Aug 2002 07:46:08 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 2002 12:41:20 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Mar 2003 14:13:20 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Katagiri",
"Yasutaka",
""
],
[
"Kitazawa",
"Noriaki",
""
]
] | We investigate the explicit form of the fermionic zeromodes in heterotic fivebrane backgrounds. By explicitly solving the fermionic field equations in fivebrane backgrounds, two normalizable and physical fermionic zeromodes are obtained. Each of these zeromodes has a non-vanishing gravitino component. We suggest a possible scenario of the gravitino pair condensation. |
2309.14773 | Farid Taghinavaz | F. Taghinavaz | Relativistic hydrodynamics with phase transition | 52 pages, 40 Figs | null | null | null | hep-th hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | Assessing the applicability of hydrodynamic expansions close to phase
transition points is crucial from either theoretical or phenomenological points
of view. We explore this within the gauge/gravity duality, using the
Einstein-Klein-Gordon model, a bottom-up string theory construction. This model
incorporates a parameter, $B_4$, that simulates different types of phase
transitions in the strongly coupled field theory existing at the boundary. We
thoroughly examine the thermodynamics and dynamics of time-dependent,
linearized perturbations in the spin-2, spin-1, and spin-0 sectors. Our
findings suggest that "hydrodynamic series breakdown near transition points" is
valid exclusively for second-order phase transitions, not for crossovers or
first-order phase transitions. Additionally, we observe that the
high-temperature and low-temperature limits of the radius of convergence for
the hydrodynamic series ($q^2_c$) are equal. We also discover that the
relationship $(\text{Max}\vert q^2_c \vert)_{\text{spin-2}} < (\text{Max}\vert
q^2_c\vert)_{\text{spin-0}} < (\text{Max}\vert q^2_c \vert)_{\text{spin-1}}$ is
consistent for different spin sectors, regardless of the phase transition type.
At the chaos point, we observe the emergence of pole-skipping behavior for both
gravity and scalar perturbations at $\omega_n = - 2\pi T n i$. Lastly,
comparing the chaos momentum with $q^2_c$, we find that $q^2_{ps} < q^2_c$,
except for extremely high temperatures.
| [
{
"created": "Tue, 26 Sep 2023 09:16:39 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Aug 2024 07:21:52 GMT",
"version": "v2"
}
] | 2024-08-07 | [
[
"Taghinavaz",
"F.",
""
]
] | Assessing the applicability of hydrodynamic expansions close to phase transition points is crucial from either theoretical or phenomenological points of view. We explore this within the gauge/gravity duality, using the Einstein-Klein-Gordon model, a bottom-up string theory construction. This model incorporates a parameter, $B_4$, that simulates different types of phase transitions in the strongly coupled field theory existing at the boundary. We thoroughly examine the thermodynamics and dynamics of time-dependent, linearized perturbations in the spin-2, spin-1, and spin-0 sectors. Our findings suggest that "hydrodynamic series breakdown near transition points" is valid exclusively for second-order phase transitions, not for crossovers or first-order phase transitions. Additionally, we observe that the high-temperature and low-temperature limits of the radius of convergence for the hydrodynamic series ($q^2_c$) are equal. We also discover that the relationship $(\text{Max}\vert q^2_c \vert)_{\text{spin-2}} < (\text{Max}\vert q^2_c\vert)_{\text{spin-0}} < (\text{Max}\vert q^2_c \vert)_{\text{spin-1}}$ is consistent for different spin sectors, regardless of the phase transition type. At the chaos point, we observe the emergence of pole-skipping behavior for both gravity and scalar perturbations at $\omega_n = - 2\pi T n i$. Lastly, comparing the chaos momentum with $q^2_c$, we find that $q^2_{ps} < q^2_c$, except for extremely high temperatures. |
1711.11011 | Nikita Nekrasov | Nikita Nekrasov | BPS/CFT correspondence IV: sigma models and defects in gauge theory | 43 pages, paper 4 of 5; v2. refs added, discussion of line operators
added; v3. refs added, typos fixed, some clarifications, version to appear in
the LMP | null | 10.1007/s11005-018-1115-7 | null | hep-th math.AG math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum field theory $L_1$ on spacetime $X_{1}$ can be coupled to another
quantum field theory $L_2$ on a spacetime $X_{2}$ via the third quantum field
theory $L_{12}$ living on $X_{12} = X_{1} \cap X_{2}$. We explore several such
constructions with two and four dimensional $X_{1}, X_{2}$'s and zero and two
dimensional $X_{12}$'s, in the context of $\mathcal{N}=2$ supersymmetry,
non-perturbative Dyson-Schwinger equations, and BPS/CFT correspondence. The
companion paper will show that the BPZ and KZ equations of two dimensional
conformal field theory are obeyed by the half-BPS surface defects in quiver
$\mathcal{N}=2$ gauge theories.
| [
{
"created": "Wed, 29 Nov 2017 18:39:16 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Dec 2017 20:26:19 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jul 2018 09:48:15 GMT",
"version": "v3"
}
] | 2018-08-15 | [
[
"Nekrasov",
"Nikita",
""
]
] | Quantum field theory $L_1$ on spacetime $X_{1}$ can be coupled to another quantum field theory $L_2$ on a spacetime $X_{2}$ via the third quantum field theory $L_{12}$ living on $X_{12} = X_{1} \cap X_{2}$. We explore several such constructions with two and four dimensional $X_{1}, X_{2}$'s and zero and two dimensional $X_{12}$'s, in the context of $\mathcal{N}=2$ supersymmetry, non-perturbative Dyson-Schwinger equations, and BPS/CFT correspondence. The companion paper will show that the BPZ and KZ equations of two dimensional conformal field theory are obeyed by the half-BPS surface defects in quiver $\mathcal{N}=2$ gauge theories. |
2112.07556 | Donal O'Connell | Andrea Cristofoli, Riccardo Gonzo, Nathan Moynihan, Donal O'Connell,
Alasdair Ross, Matteo Sergola and Chris D. White | The Uncertainty Principle and Classical Amplitudes | 59 pages + appendices, ancillary file attached. v2: minor
clarifications in section 6, some typos fixed, other small textual
improvements. v3: journal version | null | null | SAGEX-21-31-E, QMUL-PH-21-56 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the variance in the measurement of observables during scattering
events, as computed using amplitudes. The classical regime, characterised by
negligible uncertainty, emerges as a consequence of an infinite set of
relationships among multileg, multiloop amplitudes in a momentum-transfer
expansion. We discuss two non-trivial examples in detail: the six-point tree
and the five-point one-loop amplitudes in scalar QED. We interpret these
relationships in terms or a coherent exponentiation of radiative effects in the
classical limit which generalises the eikonal formula, and show how to recover
the impulse, including radiation reaction, from this generalised eikonal.
Finally, we incorporate the physics of spin into our framework.
| [
{
"created": "Tue, 14 Dec 2021 17:01:29 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2024 20:37:43 GMT",
"version": "v2"
},
{
"created": "Wed, 29 May 2024 09:50:10 GMT",
"version": "v3"
}
] | 2024-05-30 | [
[
"Cristofoli",
"Andrea",
""
],
[
"Gonzo",
"Riccardo",
""
],
[
"Moynihan",
"Nathan",
""
],
[
"O'Connell",
"Donal",
""
],
[
"Ross",
"Alasdair",
""
],
[
"Sergola",
"Matteo",
""
],
[
"White",
"Chris D.",
""
]
] | We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships among multileg, multiloop amplitudes in a momentum-transfer expansion. We discuss two non-trivial examples in detail: the six-point tree and the five-point one-loop amplitudes in scalar QED. We interpret these relationships in terms or a coherent exponentiation of radiative effects in the classical limit which generalises the eikonal formula, and show how to recover the impulse, including radiation reaction, from this generalised eikonal. Finally, we incorporate the physics of spin into our framework. |
1511.04795 | Laura Mersini-Houghton | Laura Mersini-Houghton | Entropy of the Information Retrieved from Black Holes | 9 pgs., 1 figure | null | 10.1088/0264-9381/33/13/137001 | null | hep-th gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The retrieval of black hole information was recently presented in two
interesting proposals in the 'Hawking Radiation' conference: a revised version
by G. 't Hooft of a proposal he initially suggested 20 years ago and, a new
proposal by S. Hawking. Both proposals address the problem of black hole
information loss at the classical level and derive an expression for the
scattering matrix. The former uses gravitation back reaction of incoming
particles that imprints its information on the outgoing modes. The latter uses
supertranslation symmetry of horizons to relate a phase delay of the outgoing
wave packet compared to their incoming wave partners. The difficulty in both
proposals is that the entropy obtained from them appears to be infinite.
By including quantum effects into the Hawking and 't Hooft's proposals, I
show that a subtlety arising from the inescapable measurement process, the
Quantum Zeno Effect, not only tames divergences but it actually recovers the
correct $1/4$ of the area Bekenstein-Hawking entropy law of black holes.
| [
{
"created": "Mon, 16 Nov 2015 01:18:37 GMT",
"version": "v1"
}
] | 2016-06-15 | [
[
"Mersini-Houghton",
"Laura",
""
]
] | The retrieval of black hole information was recently presented in two interesting proposals in the 'Hawking Radiation' conference: a revised version by G. 't Hooft of a proposal he initially suggested 20 years ago and, a new proposal by S. Hawking. Both proposals address the problem of black hole information loss at the classical level and derive an expression for the scattering matrix. The former uses gravitation back reaction of incoming particles that imprints its information on the outgoing modes. The latter uses supertranslation symmetry of horizons to relate a phase delay of the outgoing wave packet compared to their incoming wave partners. The difficulty in both proposals is that the entropy obtained from them appears to be infinite. By including quantum effects into the Hawking and 't Hooft's proposals, I show that a subtlety arising from the inescapable measurement process, the Quantum Zeno Effect, not only tames divergences but it actually recovers the correct $1/4$ of the area Bekenstein-Hawking entropy law of black holes. |
hep-th/0205023 | Emanuele Sorace | Emanuele Sorace | Algebraic structure of n-body systems | 13 pages | Annales Henri Poincare 3 (2002) 659-671 | 10.1007/s00023-002-8630-9 | null | hep-th | null | A general method to easily build global and relative operators for any number
n of elementary systems if they are defined for 2 is presented. It is based on
properties of the morphisms valued in the tensor products of algebras of the
kinematics and it allows also the generalization to any n of relations demon-
strated for two. The coalgebra structures play a peculiar role in the explicit
constructions. Three examples are presented concerning the Galilei, Poincare'
and deformed Galilei algebras.
| [
{
"created": "Thu, 2 May 2002 16:15:29 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Sorace",
"Emanuele",
""
]
] | A general method to easily build global and relative operators for any number n of elementary systems if they are defined for 2 is presented. It is based on properties of the morphisms valued in the tensor products of algebras of the kinematics and it allows also the generalization to any n of relations demon- strated for two. The coalgebra structures play a peculiar role in the explicit constructions. Three examples are presented concerning the Galilei, Poincare' and deformed Galilei algebras. |
hep-th/9212083 | Daniel Boyanovsky | D. Boyanovsky, D.-S. Lee and A. Singh | Phase Transitions out of Equilibrium: domain formation and growth | 37 pages 7 figures (not included), REVTEX, PITT-92-07 | Phys.Rev. D48 (1993) 800-815 | 10.1103/PhysRevD.48.800 | null | hep-th | null | We study the dynamics of phase transitions out of equilibrium in weakly
coupled scalar field theories. We consider the case in which there is a rapid
supercooling from an initial symmetric phase in thermal equilibrium at
temperature $T_i>T_c$ to a final state at low temperature $T_f \approx 0$. In
particular we study the formation and growth of correlated domains out of
equilibrium. It is shown that the dynamics of the process of domain formation
and growth (spinodal decomposition) cannot be studied in perturbation theory,
and a non-perturbative self-consistent Hartree approximation is used to study
the long time evolution. We find in weakly coupled theories that the size of
domains grow at long times as $\xi_D(t) \approx \sqrt{t\xi(0)}$. For very
weakly coupled theories, their final size is several times the zero temperature
correlation length. For strongly coupled theories the final size of the domains
is comparable to the zero temperature correlation length and the transition
proceeds faster.
| [
{
"created": "Sun, 13 Dec 1992 19:00:00 GMT",
"version": "v1"
}
] | 2019-08-17 | [
[
"Boyanovsky",
"D.",
""
],
[
"Lee",
"D. -S.",
""
],
[
"Singh",
"A.",
""
]
] | We study the dynamics of phase transitions out of equilibrium in weakly coupled scalar field theories. We consider the case in which there is a rapid supercooling from an initial symmetric phase in thermal equilibrium at temperature $T_i>T_c$ to a final state at low temperature $T_f \approx 0$. In particular we study the formation and growth of correlated domains out of equilibrium. It is shown that the dynamics of the process of domain formation and growth (spinodal decomposition) cannot be studied in perturbation theory, and a non-perturbative self-consistent Hartree approximation is used to study the long time evolution. We find in weakly coupled theories that the size of domains grow at long times as $\xi_D(t) \approx \sqrt{t\xi(0)}$. For very weakly coupled theories, their final size is several times the zero temperature correlation length. For strongly coupled theories the final size of the domains is comparable to the zero temperature correlation length and the transition proceeds faster. |
1608.07359 | Michael Dine | Michael Dine | Light Scalars and the Cosmos: Nambu-Goldstone and Otherwise | Talk at Nambu Memorial Symposium, 2016; 17 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This talk focuses on the role of light scalars in cosmology, both Nambu
Goldstone bosons and pseudo moduli. The former include QCD axions, which might
constitute the dark matter, and more general axions, which, under certain
conditions, might play the role of inflatons, implementing {\it natural
inflation}. The latter are the actors in (generalized) hybrid inflation. They
rather naturally yield large field inflation, even mimicking chaotic inflation
for suitable ranges of parameters.
| [
{
"created": "Fri, 26 Aug 2016 03:35:30 GMT",
"version": "v1"
}
] | 2016-08-29 | [
[
"Dine",
"Michael",
""
]
] | This talk focuses on the role of light scalars in cosmology, both Nambu Goldstone bosons and pseudo moduli. The former include QCD axions, which might constitute the dark matter, and more general axions, which, under certain conditions, might play the role of inflatons, implementing {\it natural inflation}. The latter are the actors in (generalized) hybrid inflation. They rather naturally yield large field inflation, even mimicking chaotic inflation for suitable ranges of parameters. |
hep-th/0404088 | Hitoshi Nishino | Hitoshi Nishino and Subhash Rajpoot | Hodge Duality and Cosmological Constant | 14 pages, no figures. Considerable changes have been made for the
simplification of the mechanism | Mod.Phys.Lett. A21 (2006) 127-142 | 10.1142/S0217732306019372 | CSULB-PA-04-03 | hep-th | null | We present a simple mechanism to eliminate cosmological constants both in
supersymmetric and non-supersymmetric theories. This mechanism is based on the
Hodge (Poincare) duality between a 0-form and D-form field strengths in
D-dimensional space-time. The new key ingredient is the introduction of an
extra Chern-Simons term into the D-form field strength H dual to the 0-form
field strength. Our formulation can be also made consistent with supersymmetry.
Typical applications to four-dimensional N=1 supergravity and to
ten-dimensional type IIA supergravity are given. The success of our formulation
for both supersymmetric and non-supersymmetric systems strongly indicates the
validity of our mechanism even after supersymmetry breakings at the classical
level. Our mechanism may well be applicable to quantized systems, at least for
supersymmetric cases with fundamental D-brane actions available.
| [
{
"created": "Tue, 13 Apr 2004 04:29:26 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Apr 2004 20:43:33 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Sep 2004 05:37:16 GMT",
"version": "v3"
},
{
"created": "Wed, 1 Sep 2004 20:09:30 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] | We present a simple mechanism to eliminate cosmological constants both in supersymmetric and non-supersymmetric theories. This mechanism is based on the Hodge (Poincare) duality between a 0-form and D-form field strengths in D-dimensional space-time. The new key ingredient is the introduction of an extra Chern-Simons term into the D-form field strength H dual to the 0-form field strength. Our formulation can be also made consistent with supersymmetry. Typical applications to four-dimensional N=1 supergravity and to ten-dimensional type IIA supergravity are given. The success of our formulation for both supersymmetric and non-supersymmetric systems strongly indicates the validity of our mechanism even after supersymmetry breakings at the classical level. Our mechanism may well be applicable to quantized systems, at least for supersymmetric cases with fundamental D-brane actions available. |
1407.0705 | Miguel Paulos | Steven G. Avery, Miguel F. Paulos | Universal Bounds on the Time Evolution of Entanglement Entropy | 8 page, 1 figure | Phys. Rev. Lett. 113, 231604 (2014) | 10.1103/PhysRevLett.113.231604 | Brown - HET 1657 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using relative entropy, we derive bounds on the time rate of change of
geometric entanglement entropy for any relativistic quantum field theory in any
dimension. The bounds apply to both mixed and pure states, and may be extended
to curved space. We illustrate the bounds in a few examples and comment on
potential applications and future extensions.
| [
{
"created": "Wed, 2 Jul 2014 20:00:04 GMT",
"version": "v1"
}
] | 2014-12-10 | [
[
"Avery",
"Steven G.",
""
],
[
"Paulos",
"Miguel F.",
""
]
] | Using relative entropy, we derive bounds on the time rate of change of geometric entanglement entropy for any relativistic quantum field theory in any dimension. The bounds apply to both mixed and pure states, and may be extended to curved space. We illustrate the bounds in a few examples and comment on potential applications and future extensions. |
hep-th/0009183 | Hong Lu | M. Cvetic, H. Lu and C.N. Pope | Brane-world Kaluza-Klein reductions and Branes on the Brane | latex, 30 pages | J.Math.Phys.42:3048-3070,2001 | 10.1063/1.1377272 | null | hep-th | null | We present a systematic study of a new type of consistent ``Brane-world
Kaluza-Klein Reduction,'' which describe fully non-linear deformations of
co-dimension one objects that arise as solutions of a large class of gauged
supergravity theories in diverse dimensions, and whose world-volume theories
are described by ungauged supergravities with one half of the original
supersymmetry. In addition, we provide oxidations of these Ansatze which are in
general related to sphere compactified higher dimensional string theory or
M-theory. Within each class we also provide explicit solutions of brane
configurations localised on the world-brane. We show that at the Cauchy horizon
(in the transverse dimension of the consistently Kaluza-Klein reduced
world-brane) there is a curvature singularity for any configuration with a
non-null Riemann curvature or a non-vanishing Ricci scalar that lives in the
world-brane. Since the massive Kaluza-Klein modes can be consistently
decoupled, they cannot participate in regulating these singularities.
| [
{
"created": "Mon, 25 Sep 2000 21:31:00 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Cvetic",
"M.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We present a systematic study of a new type of consistent ``Brane-world Kaluza-Klein Reduction,'' which describe fully non-linear deformations of co-dimension one objects that arise as solutions of a large class of gauged supergravity theories in diverse dimensions, and whose world-volume theories are described by ungauged supergravities with one half of the original supersymmetry. In addition, we provide oxidations of these Ansatze which are in general related to sphere compactified higher dimensional string theory or M-theory. Within each class we also provide explicit solutions of brane configurations localised on the world-brane. We show that at the Cauchy horizon (in the transverse dimension of the consistently Kaluza-Klein reduced world-brane) there is a curvature singularity for any configuration with a non-null Riemann curvature or a non-vanishing Ricci scalar that lives in the world-brane. Since the massive Kaluza-Klein modes can be consistently decoupled, they cannot participate in regulating these singularities. |
2309.06491 | Soumyadeep Chaudhuri | Jeremias Aguilera Damia, Riccardo Argurio, Soumyadeep Chaudhuri | When the moduli space is an orbifold: Spontaneous breaking of continuous
non-invertible symmetries | 22 pages; a figure, some comments and a few references have been
added; version matches with the one to be published in JHEP | JHEP 03 (2024) 042 | 10.1007/JHEP03(2024)042 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We investigate theories of Nambu-Goldstone bosons where the spontaneously
broken continuous symmetry is non-invertible. In such theories, the vacua
generically parameterize an orbifold. We study in detail the simplest example
of a single free scalar with shift symmetry, modded by reflection symmetry. At
singular points of the vacuum manifold, we show that the spectrum of NG
excitations is reduced, in particular there are no single-particle states. At
the smooth points, on the other hand, single NG modes are present. We show that
this is a consequence of the fact that at those points one can construct
invertible operators implementing the continuous symmetry on the Hilbert space.
| [
{
"created": "Tue, 12 Sep 2023 18:05:03 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Mar 2024 19:02:19 GMT",
"version": "v2"
}
] | 2024-05-28 | [
[
"Damia",
"Jeremias Aguilera",
""
],
[
"Argurio",
"Riccardo",
""
],
[
"Chaudhuri",
"Soumyadeep",
""
]
] | We investigate theories of Nambu-Goldstone bosons where the spontaneously broken continuous symmetry is non-invertible. In such theories, the vacua generically parameterize an orbifold. We study in detail the simplest example of a single free scalar with shift symmetry, modded by reflection symmetry. At singular points of the vacuum manifold, we show that the spectrum of NG excitations is reduced, in particular there are no single-particle states. At the smooth points, on the other hand, single NG modes are present. We show that this is a consequence of the fact that at those points one can construct invertible operators implementing the continuous symmetry on the Hilbert space. |
2107.03194 | Stam Nicolis | Stam Nicolis | The hidden fluxes, that control the fluctuations of scalar fields | 9 pages LaTeX, uses utphys for the references. Written contribution
to the talk at the "38th Conference on Recent Developments in High Energy
Physics and Cosmology" of the Hellenic Society for the Study of High Energy
Physics (16-19 June 2021, Thessaloniki, Greece) | J. Phys.: Conf. Ser. 2105 012003 (2021) | null | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fluctuations of scalar fields, that are invariant under rotations of the
worldvolume, in Euclidian signature, can be described by a system of Langevin
equations. These equations can be understood as defining a change of variables
in the functional integral for the noise, with which the physical degrees of
freedom are in equilibrium. The absolute value of the Jacobian of this change
of variables therefore repackages the fluctuations. This provides a new way of
relating the number and properties of scalar fields with the consistent and
complete description of their fluctuations and is another way of understanding
the relevance of supersymmetry, which, in this way, determines the minimal
number of real scalar fields (e.g. two in two dimensions, four in three
dimensions and eight in four dimensions), in order for the system to be
consistently closed. The classical action of the scalar fields, obtained in
this way, contains a surface term and a remainder, in addition to the canonical
kinetic and potential terms. The surface term describes possible flux
contributions in the presence of boundaries, while the remainder describes
additional interactions, that can't be absorbed in a redefinition of the
canonical terms. It is, however, through its combination with the surface term
that the noise fields can be recovered, in all cases. However their identities
can be subject to anomalies. What is of particular, practical, interest is the
identification of the noise fields, as functions of the scalars, whose
correlation functions are Gaussian. This implies new identities, between the
scalars, that can be probed in real, or computer, experiments.
| [
{
"created": "Wed, 7 Jul 2021 13:11:39 GMT",
"version": "v1"
}
] | 2021-11-30 | [
[
"Nicolis",
"Stam",
""
]
] | The fluctuations of scalar fields, that are invariant under rotations of the worldvolume, in Euclidian signature, can be described by a system of Langevin equations. These equations can be understood as defining a change of variables in the functional integral for the noise, with which the physical degrees of freedom are in equilibrium. The absolute value of the Jacobian of this change of variables therefore repackages the fluctuations. This provides a new way of relating the number and properties of scalar fields with the consistent and complete description of their fluctuations and is another way of understanding the relevance of supersymmetry, which, in this way, determines the minimal number of real scalar fields (e.g. two in two dimensions, four in three dimensions and eight in four dimensions), in order for the system to be consistently closed. The classical action of the scalar fields, obtained in this way, contains a surface term and a remainder, in addition to the canonical kinetic and potential terms. The surface term describes possible flux contributions in the presence of boundaries, while the remainder describes additional interactions, that can't be absorbed in a redefinition of the canonical terms. It is, however, through its combination with the surface term that the noise fields can be recovered, in all cases. However their identities can be subject to anomalies. What is of particular, practical, interest is the identification of the noise fields, as functions of the scalars, whose correlation functions are Gaussian. This implies new identities, between the scalars, that can be probed in real, or computer, experiments. |
hep-th/9705097 | . | M. Maule, S. Sciuto | Extended conformal symmetry of the one-dimensional Bose gas | 8 pages, plain LaTeX, no figures | Mod.Phys.Lett. A12 (1997) 2153-2160 | 10.1142/S021773239700220X | DFTT 27/97 | hep-th | null | We show that the low-lying excitations of the one-dimensional Bose gas are
described, at all orders in a 1/N expansion and at the first order in the
inverse of the coupling constant, by an effective hamiltonian written in terms
of an extended conformal algebra, namely the Cartan subalgebra of the
$W_{1+\infty}\times \bar{W}_{1+\infty}$ algebra. This enables us to construct
the first interaction term which corrects the hamiltonian of free fermions
equivalent to a hard-core boson system.
| [
{
"created": "Wed, 14 May 1997 09:37:50 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Maule",
"M.",
""
],
[
"Sciuto",
"S.",
""
]
] | We show that the low-lying excitations of the one-dimensional Bose gas are described, at all orders in a 1/N expansion and at the first order in the inverse of the coupling constant, by an effective hamiltonian written in terms of an extended conformal algebra, namely the Cartan subalgebra of the $W_{1+\infty}\times \bar{W}_{1+\infty}$ algebra. This enables us to construct the first interaction term which corrects the hamiltonian of free fermions equivalent to a hard-core boson system. |
2210.02907 | Giovanni Cabass | Giovanni Cabass, Sadra Jazayeri, Enrico Pajer and David Stefanyszyn | Parity violation in the scalar trispectrum: no-go theorems and yes-go
examples | 38 pages, 5 figures. v2 fixes typo in Eq. (2.8) | null | 10.1007/JHEP02(2023)021 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a set of no-go theorems and yes-go examples for the parity-odd
primordial trispectrum of curvature perturbations. We work at tree-level in the
decoupling limit of the Effective Field Theory of Inflation and assume scale
invariance and a Bunch-Davies vacuum. We show that the parity-odd scalar
trispectrum vanishes in the presence of any number of scalar fields with
arbitrary mass and any parity-odd scalar correlator vanishes in the presence of
any number of spinning fields with massless de Sitter mode functions, in
agreement with the findings of Liu, Tong, Wang and Xianyu [1]. The same is true
for correlators with an odd number of conformally-coupled external fields. We
derive these results using both the (boostless) cosmological bootstrap, in
particular the Cosmological Optical Theorem, and explicit perturbative
calculations. We then discuss a series of yes-go examples by relaxing the above
assumptions one at the time. In particular, we provide explicit results for the
parity-odd trispectrum for (i) violations of scale invariance in single-clock
inflation, (ii) the modified dispersion relation of the ghost condensate
(non-Bunch-Davies vacuum), and (iii) interactions with massive spinning fields.
Our results establish the parity-odd trispectrum as an exceptionally sensitive
probe of new physics beyond vanilla inflation.
| [
{
"created": "Thu, 6 Oct 2022 13:20:40 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Mar 2023 16:10:57 GMT",
"version": "v2"
}
] | 2023-03-07 | [
[
"Cabass",
"Giovanni",
""
],
[
"Jazayeri",
"Sadra",
""
],
[
"Pajer",
"Enrico",
""
],
[
"Stefanyszyn",
"David",
""
]
] | We derive a set of no-go theorems and yes-go examples for the parity-odd primordial trispectrum of curvature perturbations. We work at tree-level in the decoupling limit of the Effective Field Theory of Inflation and assume scale invariance and a Bunch-Davies vacuum. We show that the parity-odd scalar trispectrum vanishes in the presence of any number of scalar fields with arbitrary mass and any parity-odd scalar correlator vanishes in the presence of any number of spinning fields with massless de Sitter mode functions, in agreement with the findings of Liu, Tong, Wang and Xianyu [1]. The same is true for correlators with an odd number of conformally-coupled external fields. We derive these results using both the (boostless) cosmological bootstrap, in particular the Cosmological Optical Theorem, and explicit perturbative calculations. We then discuss a series of yes-go examples by relaxing the above assumptions one at the time. In particular, we provide explicit results for the parity-odd trispectrum for (i) violations of scale invariance in single-clock inflation, (ii) the modified dispersion relation of the ghost condensate (non-Bunch-Davies vacuum), and (iii) interactions with massive spinning fields. Our results establish the parity-odd trispectrum as an exceptionally sensitive probe of new physics beyond vanilla inflation. |
0710.1002 | Jan Plefka | Dietmar Ebert, Jan Plefka, Andreas Rodigast | Absence of gravitational contributions to the running Yang-Mills
coupling | 4 pages, 1 figure, uses revtex and feynmf. v2: references added | Phys.Lett.B660:579-582,2008 | 10.1016/j.physletb.2008.01.037 | MPP-2007-145, HU-EP-07/49 | hep-th hep-ph | null | The question of a modification of the running gauge coupling of (non-)
abelian gauge theories by an incorporation of the quantum gravity contribution
has recently attracted considerable interest. In this letter we perform an
involved diagrammatical calculation in the full Einstein-Yang-Mills system both
in cut-off and dimensional regularization at one loop order. It is found that
all gravitational quadratic divergencies cancel in cut-off regularization and
are trivially absent in dimensional regularization so that there is no
alteration to asymptotic freedom at high energies. The logarithmic divergencies
give rise to an extended effective Einstein-Yang-Mills Lagrangian with a
counterterm of dimension six. In the pure Yang-Mills sector this counterterm
can be removed by a nonlinear field redefinition of the gauge potential,
reproducing a classical result of Deser, Tsao and van Nieuwenhuizen obtained in
the background field method with dimensional regularization.
| [
{
"created": "Thu, 4 Oct 2007 13:25:10 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Oct 2007 10:21:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ebert",
"Dietmar",
""
],
[
"Plefka",
"Jan",
""
],
[
"Rodigast",
"Andreas",
""
]
] | The question of a modification of the running gauge coupling of (non-) abelian gauge theories by an incorporation of the quantum gravity contribution has recently attracted considerable interest. In this letter we perform an involved diagrammatical calculation in the full Einstein-Yang-Mills system both in cut-off and dimensional regularization at one loop order. It is found that all gravitational quadratic divergencies cancel in cut-off regularization and are trivially absent in dimensional regularization so that there is no alteration to asymptotic freedom at high energies. The logarithmic divergencies give rise to an extended effective Einstein-Yang-Mills Lagrangian with a counterterm of dimension six. In the pure Yang-Mills sector this counterterm can be removed by a nonlinear field redefinition of the gauge potential, reproducing a classical result of Deser, Tsao and van Nieuwenhuizen obtained in the background field method with dimensional regularization. |
1410.4178 | Andres Collinucci | Andres Collinucci and Raffaele Savelli | T-branes as branes within branes | 27 pages, 2 figures, discussion on Pi-stability and compact models
added | null | 10.1007/JHEP09(2015)161 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bound states of 7-branes known as 'T-branes' have properties that defy usual
geometric intuition. For instance, the gauge group of n coincident branes may
not be U(n). More surprisingly, matter may show up at unexpected loci, such as
points. By analyzing T-branes of perturbative type IIB string theory in the
tachyon condensation picture we gain the following insights: In a large class
of models, the tachyon can be diagonalized even though the worldvolume Higgs
cannot. In those cases, we see the structure of these bound states more
manifestly, thereby drastically simplifying analysis of gauge groups and
spectra. Whenever the tachyon is not diagonalizable, matter localizes at
unexpected loci, and we find that there is a lower-dimensional brane bound to
the 7-brane.
| [
{
"created": "Wed, 15 Oct 2014 19:32:55 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2016 11:29:41 GMT",
"version": "v2"
}
] | 2016-03-15 | [
[
"Collinucci",
"Andres",
""
],
[
"Savelli",
"Raffaele",
""
]
] | Bound states of 7-branes known as 'T-branes' have properties that defy usual geometric intuition. For instance, the gauge group of n coincident branes may not be U(n). More surprisingly, matter may show up at unexpected loci, such as points. By analyzing T-branes of perturbative type IIB string theory in the tachyon condensation picture we gain the following insights: In a large class of models, the tachyon can be diagonalized even though the worldvolume Higgs cannot. In those cases, we see the structure of these bound states more manifestly, thereby drastically simplifying analysis of gauge groups and spectra. Whenever the tachyon is not diagonalizable, matter localizes at unexpected loci, and we find that there is a lower-dimensional brane bound to the 7-brane. |
1306.6075 | Andrea Allais | Andrea Allais, John McGreevy | How to construct a gravitating quantum electron star | 47 pages, 7 figures | null | 10.1103/PhysRevD.88.066006 | MIT-CTP/4469; UCSD-PTH-13-08 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the holographic study of Fermi surfaces, we develop methods to
solve Einstein gravity coupled to fermions and gauge fields, with AdS boundary
conditions and a chemical potential.
| [
{
"created": "Tue, 25 Jun 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2013 13:36:18 GMT",
"version": "v2"
}
] | 2013-09-25 | [
[
"Allais",
"Andrea",
""
],
[
"McGreevy",
"John",
""
]
] | Motivated by the holographic study of Fermi surfaces, we develop methods to solve Einstein gravity coupled to fermions and gauge fields, with AdS boundary conditions and a chemical potential. |
0910.4475 | Kengo Maeda | Kengo Maeda, Makoto Natsuume, Takashi Okamura | Vortex lattice for a holographic superconductor | v2: minor changes, references added; 11 pages, 2 figures: version to
appear in PRD | Phys.Rev.D81:026002,2010 | 10.1103/PhysRevD.81.026002 | KEK-TH-1336 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the vortex lattice solution in a (2+1)-dimensional holographic
model of superconductors constructed from a charged scalar condensate. The
solution is obtained perturbatively near the second-order phase transition and
is a holographic realization of the Abrikosov lattice. Below a critical value
of magnetic field, the solution has a lower free energy than the normal state.
Both the free energy density and the superconducting current are expressed by
nonlocal functions, but they reduce to the expressions in the Ginzburg-Landau
(GL) theory at long wavelength. As a result, a triangular lattice becomes the
most favorable solution thermodynamically as in the GL theory of type II
superconductors.
| [
{
"created": "Fri, 23 Oct 2009 10:40:59 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Dec 2009 09:57:22 GMT",
"version": "v2"
}
] | 2010-01-27 | [
[
"Maeda",
"Kengo",
""
],
[
"Natsuume",
"Makoto",
""
],
[
"Okamura",
"Takashi",
""
]
] | We investigate the vortex lattice solution in a (2+1)-dimensional holographic model of superconductors constructed from a charged scalar condensate. The solution is obtained perturbatively near the second-order phase transition and is a holographic realization of the Abrikosov lattice. Below a critical value of magnetic field, the solution has a lower free energy than the normal state. Both the free energy density and the superconducting current are expressed by nonlocal functions, but they reduce to the expressions in the Ginzburg-Landau (GL) theory at long wavelength. As a result, a triangular lattice becomes the most favorable solution thermodynamically as in the GL theory of type II superconductors. |
1008.1626 | Yin Jia | Bo Feng, Song He, Rijun Huang, Yin Jia | Note on New KLT relations | 15 Pages; v2: minor corrections | JHEP 1010:109,2010 | 10.1007/JHEP10(2010)109 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short note, we present two results about KLT relations discussed in
recent several papers. Our first result is the re-derivation of Mason-Skinner
MHV amplitude by applying the S_{n-3} permutation symmetric KLT relations
directly to MHV amplitude. Our second result is the equivalence proof of the
newly discovered S_{n-2} permutation symmetric KLT relations and the well-known
S_{n-3} permutation symmetric KLT relations. Although both formulas have been
shown to be correct by BCFW recursion relations, our result is the first direct
check using the regularized definition of the new formula.
| [
{
"created": "Tue, 10 Aug 2010 03:42:25 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Nov 2010 13:41:14 GMT",
"version": "v2"
}
] | 2010-11-16 | [
[
"Feng",
"Bo",
""
],
[
"He",
"Song",
""
],
[
"Huang",
"Rijun",
""
],
[
"Jia",
"Yin",
""
]
] | In this short note, we present two results about KLT relations discussed in recent several papers. Our first result is the re-derivation of Mason-Skinner MHV amplitude by applying the S_{n-3} permutation symmetric KLT relations directly to MHV amplitude. Our second result is the equivalence proof of the newly discovered S_{n-2} permutation symmetric KLT relations and the well-known S_{n-3} permutation symmetric KLT relations. Although both formulas have been shown to be correct by BCFW recursion relations, our result is the first direct check using the regularized definition of the new formula. |
hep-th/0009130 | Prasanta K. Tripathy | Prasanta K. Tripathy and Avinash Khare | Self-Duality of a Topologically Massive Born-Infeld Theory | 10 Pages, Accepted in Phys. Lett. B, New results and references added | Phys.Lett. B504 (2001) 152-156 | 10.1016/S0370-2693(01)00260-X | IP-BBSR/2000-30 | hep-th | null | We consider self-duality in a 2+1 dimensional gauge theory containing both
the Born-Infeld and the Chern-Simons terms. We introduce a Born-Infeld inspired
generalization of the Proca term and show that the corresponding self dual
equation is identical to that of the Born-Infeld-Chern-Simons theory.
| [
{
"created": "Sat, 16 Sep 2000 17:25:37 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2000 16:04:04 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Tripathy",
"Prasanta K.",
""
],
[
"Khare",
"Avinash",
""
]
] | We consider self-duality in a 2+1 dimensional gauge theory containing both the Born-Infeld and the Chern-Simons terms. We introduce a Born-Infeld inspired generalization of the Proca term and show that the corresponding self dual equation is identical to that of the Born-Infeld-Chern-Simons theory. |
1106.5228 | Alexei Deriglazov A | A. A. Deriglazov | Spinning-particle model for the Dirac equation and the relativistic
Zitterbewegung | 6 pages, misprints corrected | Phys. Lett. A 376 (2012) 309-313 | 10.1016/j.physleta.2011.10.070 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the relativistic particle model without Grassmann variables
which meets the following requirements. A) Canonical quantization of the model
implies the Dirac equation. B) The variable which experiences {\it
Zitterbewegung}, represents a gauge non-invariant variable in our model. Hence
our particle does not experiences the undesirable {\it Zitterbewegung}. C) In
the nonrelativistic limit spin is described by three-vector, as it could be
expected.
| [
{
"created": "Sun, 26 Jun 2011 14:54:46 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Dec 2011 12:45:33 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Mar 2012 15:09:35 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Deriglazov",
"A. A.",
""
]
] | We construct the relativistic particle model without Grassmann variables which meets the following requirements. A) Canonical quantization of the model implies the Dirac equation. B) The variable which experiences {\it Zitterbewegung}, represents a gauge non-invariant variable in our model. Hence our particle does not experiences the undesirable {\it Zitterbewegung}. C) In the nonrelativistic limit spin is described by three-vector, as it could be expected. |
hep-th/9803049 | Maureen Meyer | S. Deser (Brandeis University) and G.W. Gibbons (Cambridge University) | Born-Infeld-Einstein Actions? | 7 pages | Class.Quant.Grav.15:L35-L39,1998 | 10.1088/0264-9381/15/5/001 | BTX-TH 430 | hep-th gr-qc | null | We present some obvious physical requirements on gravitational avatars of
non-linear electrodynamics and illustrate them with explicit determinantal
Born-Infeld-Einstein models. A related procedure, using compensating Weyl
scalars, permits us to formulate conformally invariant versions of these
systems as well.
| [
{
"created": "Thu, 5 Mar 1998 20:49:20 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Deser",
"S.",
"",
"Brandeis University"
],
[
"Gibbons",
"G. W.",
"",
"Cambridge University"
]
] | We present some obvious physical requirements on gravitational avatars of non-linear electrodynamics and illustrate them with explicit determinantal Born-Infeld-Einstein models. A related procedure, using compensating Weyl scalars, permits us to formulate conformally invariant versions of these systems as well. |
2206.01765 | David Berenstein | David Berenstein, George Hulsey | Anomalous Bootstrap on the half line | 31 pages, 11 figures. v2: We added an anomaly for n=0 that was
omitted accidentally. Fixed a problem of conventions of factors of 2 between
the text on the paper and the code we developed for the Airy function. v3:
typos fixed | null | 10.1103/PhysRevD.106.045029 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study carefully the problem of the bootstrap on the half line. We show why
one needs the full set of constraints derived from the Stieltjes theorem on the
moment problem by reexamining previous results on the hydrogen atom. We also
study the hydrogen atom at continuous angular momentum. We show that the
constraints on the moment problem alone do not fix the boundary conditions in
all cases and at least one of the positive matrices needs to be slightly
enlarged to remove unphysical branches. We explain how to solve the more
general problem of the bootstrap for Robin boundary conditions. The recursion
relations that are usually used receive additional anomalous contributions.
These corrections are necessary to compute the moments of the measure. We apply
these to the linear potential and we show how the bootstrap matches the
analytical results, based on the Airy function, for this example.
| [
{
"created": "Fri, 3 Jun 2022 18:00:13 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jun 2022 01:14:24 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jun 2022 12:57:25 GMT",
"version": "v3"
}
] | 2022-09-14 | [
[
"Berenstein",
"David",
""
],
[
"Hulsey",
"George",
""
]
] | We study carefully the problem of the bootstrap on the half line. We show why one needs the full set of constraints derived from the Stieltjes theorem on the moment problem by reexamining previous results on the hydrogen atom. We also study the hydrogen atom at continuous angular momentum. We show that the constraints on the moment problem alone do not fix the boundary conditions in all cases and at least one of the positive matrices needs to be slightly enlarged to remove unphysical branches. We explain how to solve the more general problem of the bootstrap for Robin boundary conditions. The recursion relations that are usually used receive additional anomalous contributions. These corrections are necessary to compute the moments of the measure. We apply these to the linear potential and we show how the bootstrap matches the analytical results, based on the Airy function, for this example. |
hep-th/9603028 | Nam SoonKeon | Changhyun Ahn and Soonkeon Nam | Integrable structure in supersymmetric gauge theories with massive
hypermultiplets | 11 pages, latex, no figures | Phys.Lett.B387:304-309,1996 | 10.1016/0370-2693(96)00996-3 | SNUTP/96-12 | hep-th | null | We study the quantum moduli space of vacua of $N=2$ supersymmetric $SU(N_c)$
gauge theories coupled to $N_f$ flavors of quarks in the fundamental
representation. We identify the moduli space of the $N_c = 3$ and $N_f=2$
massless case with the full spectral curve obtained from the Lax representation
of the Goryachev-Chaplygin top. For the case with {\it massive} quarks, we
present an integrable system where the corresponding hyperelliptic curve
parametrizing the Laurent solution coincides with that of the moduli space of
$N_{c}=3$ with $N_{f}=0, 1, 2$. We discuss possible generalizations of the
integrable systems relevant to gauge theories with $N_c \neq 3 $ and general
$N_f$.
| [
{
"created": "Wed, 6 Mar 1996 08:55:50 GMT",
"version": "v1"
}
] | 2010-02-05 | [
[
"Ahn",
"Changhyun",
""
],
[
"Nam",
"Soonkeon",
""
]
] | We study the quantum moduli space of vacua of $N=2$ supersymmetric $SU(N_c)$ gauge theories coupled to $N_f$ flavors of quarks in the fundamental representation. We identify the moduli space of the $N_c = 3$ and $N_f=2$ massless case with the full spectral curve obtained from the Lax representation of the Goryachev-Chaplygin top. For the case with {\it massive} quarks, we present an integrable system where the corresponding hyperelliptic curve parametrizing the Laurent solution coincides with that of the moduli space of $N_{c}=3$ with $N_{f}=0, 1, 2$. We discuss possible generalizations of the integrable systems relevant to gauge theories with $N_c \neq 3 $ and general $N_f$. |
0811.2825 | Andrei Mironov | A.Alexandrov, A.Mironov, A.Morozov and P.Putrov | Partition Functions of Matrix Models as the First Special Functions of
String Theory. II. Kontsevich Model | 48 pages, 2 figures | Int.J.Mod.Phys.A24:4939-4998,2009 | 10.1142/S0217751X09046278 | FIAN/TD-22/08; ITEP/TH-49/08; IHES/P/08/52 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In arXiv:hep-th/0310113 we started a program of creating a reference-book on
matrix-model tau-functions, the new generation of special functions, which are
going to play an important role in string theory calculations. The main focus
of that paper was on the one-matrix Hermitian model tau-functions. The present
paper is devoted to a direct counterpart for the Kontsevich and Generalized
Kontsevich Model (GKM) tau-functions. We mostly focus on calculating resolvents
(=loop operator averages) in the Kontsevich model, with a special emphasis on
its simplest (Gaussian) phase, where exists a surprising integral formula, and
the expressions for the resolvents in the genus zero and one are especially
simple (in particular, we generalize the known genus zero result to genus one).
We also discuss various features of generic phases of the Kontsevich model, in
particular, a counterpart of the unambiguous Gaussian solution in the generic
case, the solution called Dijkgraaf-Vafa (DV) solution. Further, we extend the
results to the GKM and, in particular, discuss the p-q duality in terms of
resolvents and corresponding Riemann surfaces in the example of dualities
between (2,3) and (3,2) models.
| [
{
"created": "Mon, 17 Nov 2008 23:40:50 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2008 13:27:03 GMT",
"version": "v2"
}
] | 2009-11-05 | [
[
"Alexandrov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Putrov",
"P.",
""
]
] | In arXiv:hep-th/0310113 we started a program of creating a reference-book on matrix-model tau-functions, the new generation of special functions, which are going to play an important role in string theory calculations. The main focus of that paper was on the one-matrix Hermitian model tau-functions. The present paper is devoted to a direct counterpart for the Kontsevich and Generalized Kontsevich Model (GKM) tau-functions. We mostly focus on calculating resolvents (=loop operator averages) in the Kontsevich model, with a special emphasis on its simplest (Gaussian) phase, where exists a surprising integral formula, and the expressions for the resolvents in the genus zero and one are especially simple (in particular, we generalize the known genus zero result to genus one). We also discuss various features of generic phases of the Kontsevich model, in particular, a counterpart of the unambiguous Gaussian solution in the generic case, the solution called Dijkgraaf-Vafa (DV) solution. Further, we extend the results to the GKM and, in particular, discuss the p-q duality in terms of resolvents and corresponding Riemann surfaces in the example of dualities between (2,3) and (3,2) models. |
hep-th/9812070 | Gaida | V. Tretyak (Inst. for Cond. Matt. Phys.) | On Relativistic Models in the Equilibrium Statistical Mechanics | 16 pages, no figures, submit. to Cond. Matt. Phys | null | null | null | hep-th | null | Relativistic effects in the thermodynamical properties of interacting
particle systems are investigated within the framework of the relativistic
direct interaction theory in various forms of dynamics. In the front form of
relativistic dynamics an exactly solvable model of a one-dimensional hard
spheres gas is formulated and an equation of state and thermodynamical
potentials for such a gas are found. Weakly-relativistic corrections to the
thermodynamical functions of the dilute gas with short-range interactions are
discussed on the basis of the approximately relativistic Hamiltonian function
in the instant form of dynamics.
| [
{
"created": "Tue, 8 Dec 1998 16:09:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Tretyak",
"V.",
"",
"Inst. for Cond. Matt. Phys."
]
] | Relativistic effects in the thermodynamical properties of interacting particle systems are investigated within the framework of the relativistic direct interaction theory in various forms of dynamics. In the front form of relativistic dynamics an exactly solvable model of a one-dimensional hard spheres gas is formulated and an equation of state and thermodynamical potentials for such a gas are found. Weakly-relativistic corrections to the thermodynamical functions of the dilute gas with short-range interactions are discussed on the basis of the approximately relativistic Hamiltonian function in the instant form of dynamics. |
hep-th/0604002 | Andreas W. Aste | Andreas Aste | Entropy bound and local quantum field theory | 6 pages, LATEX, one new section and a reference added | null | null | null | hep-th | null | I comment on Ulvi Yurtsever's result, which states that the entropy of a
truncated bosonic Fock space is given by a holographic bound when the energy of
the Fock states is constrained gravitationally. The derivation given in
Yurtsever's paper contains an subtle mistake, which invalidates the result. A
more restrictive, non-holographic entropy bound is derived.
| [
{
"created": "Sat, 1 Apr 2006 17:52:20 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2006 16:20:42 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jan 2007 22:40:29 GMT",
"version": "v3"
},
{
"created": "Tue, 29 May 2007 15:37:48 GMT",
"version": "v4"
}
] | 2007-06-13 | [
[
"Aste",
"Andreas",
""
]
] | I comment on Ulvi Yurtsever's result, which states that the entropy of a truncated bosonic Fock space is given by a holographic bound when the energy of the Fock states is constrained gravitationally. The derivation given in Yurtsever's paper contains an subtle mistake, which invalidates the result. A more restrictive, non-holographic entropy bound is derived. |
2006.11317 | Gustavo Joaquin Turiaci | Henry Maxfield and Gustavo J. Turiaci | The path integral of 3D gravity near extremality; or, JT gravity with
defects as a matrix integral | 57 pp; v2 typos corrected, ref added and new section 3.5 | null | 10.1007/JHEP01(2021)118 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose that a class of new topologies, for which there is no classical
solution, should be included in the path integral of three-dimensional pure
gravity, and that their inclusion solves pathological negativities in the
spectrum, replacing them with a nonperturbative shift of the BTZ extremality
bound. We argue that a two-dimensional calculation using a dimensionally
reduced theory captures the leading effects in the near extremal limit. To make
this argument, we study a closely related two-dimensional theory of
Jackiw-Teitelboim gravity with dynamical defects. We show that this theory is
equivalent to a matrix integral.
| [
{
"created": "Fri, 19 Jun 2020 18:44:55 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jul 2020 21:10:52 GMT",
"version": "v2"
}
] | 2021-02-24 | [
[
"Maxfield",
"Henry",
""
],
[
"Turiaci",
"Gustavo J.",
""
]
] | We propose that a class of new topologies, for which there is no classical solution, should be included in the path integral of three-dimensional pure gravity, and that their inclusion solves pathological negativities in the spectrum, replacing them with a nonperturbative shift of the BTZ extremality bound. We argue that a two-dimensional calculation using a dimensionally reduced theory captures the leading effects in the near extremal limit. To make this argument, we study a closely related two-dimensional theory of Jackiw-Teitelboim gravity with dynamical defects. We show that this theory is equivalent to a matrix integral. |
2103.05879 | Shreyansh Shankar Dave | Shreyansh S. Dave and Sanatan Digal | Parametric resonance of complex scalar field under spacetime
oscillations | 4 pages, 3 figures, Contribution to proceedings of XXIV DAE-BRNS
Symposium on High Energy Physics, Dec. 14-18, 2020, Jatni, Odisha, India | Springer Proc.Phys. 277 (2022) 913-917 | 10.1007/978-981-19-2354-8_163 | null | hep-th astro-ph.HE hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | In this proceeding, we study time evolution of a complex scalar field, in
symmetry broken phase, in presence of oscillating spacetime metric background.
We show that spacetime oscillations lead to parametric resonance of the field.
This generates excitations in the field for a wide range of frequency of
spacetime oscillations which ultimately lead to the formation of topological
vortices. The lowest frequency cut-off to induce this phenomena is set by
system size due to finite size effects.
| [
{
"created": "Wed, 10 Mar 2021 05:50:50 GMT",
"version": "v1"
}
] | 2022-11-03 | [
[
"Dave",
"Shreyansh S.",
""
],
[
"Digal",
"Sanatan",
""
]
] | In this proceeding, we study time evolution of a complex scalar field, in symmetry broken phase, in presence of oscillating spacetime metric background. We show that spacetime oscillations lead to parametric resonance of the field. This generates excitations in the field for a wide range of frequency of spacetime oscillations which ultimately lead to the formation of topological vortices. The lowest frequency cut-off to induce this phenomena is set by system size due to finite size effects. |
1407.3804 | Ariel Zhitnitsky | Ariel Zhitnitsky | Topological order and Berry connection for the Maxwell Vacuum on a
four-torus | matches the published version. arXiv admin note: substantial text
overlap with arXiv:1308.1960 | Phys. Rev. D 90, 105007 (2014) | 10.1103/PhysRevD.90.105007 | null | hep-th cond-mat.str-el gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study novel type of contributions to the partition function of the Maxwell
system defined on a small compact manifold such as torus. These new terms can
not be described in terms of the physical propagating photons with two
transverse polarizations. Rather, these novel contributions emerge as a result
of tunnelling events when transitions occur between topologically different but
physically identical vacuum winding states. These new terms give an extra
contribution to the Casimir pressure. The infrared physics in the system can be
described in terms of the topological auxiliary non-propagating fields
$a_i(\mathbf{k})$ governed by Chern-Simons -like action. The system can be
studied in terms of these auxiliary fields precisely in the same way as a
topological insulator can be analyzed in terms of Berry's connection
${\cal{A}}_i(\mathbf{k})$. We also argue that the Maxwell vacuum defined on a
small 4-torus behaves very much in the same way as a topological insulator with
$\theta\neq 0$.
| [
{
"created": "Mon, 14 Jul 2014 20:01:47 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Nov 2014 17:29:12 GMT",
"version": "v2"
}
] | 2014-11-11 | [
[
"Zhitnitsky",
"Ariel",
""
]
] | We study novel type of contributions to the partition function of the Maxwell system defined on a small compact manifold such as torus. These new terms can not be described in terms of the physical propagating photons with two transverse polarizations. Rather, these novel contributions emerge as a result of tunnelling events when transitions occur between topologically different but physically identical vacuum winding states. These new terms give an extra contribution to the Casimir pressure. The infrared physics in the system can be described in terms of the topological auxiliary non-propagating fields $a_i(\mathbf{k})$ governed by Chern-Simons -like action. The system can be studied in terms of these auxiliary fields precisely in the same way as a topological insulator can be analyzed in terms of Berry's connection ${\cal{A}}_i(\mathbf{k})$. We also argue that the Maxwell vacuum defined on a small 4-torus behaves very much in the same way as a topological insulator with $\theta\neq 0$. |
hep-th/0208016 | Antonio Rago | P. Grinza and A. Rago | Study of the 2d Ising Model with mixed perturbation | Revised version, typos corrected, reference added. LaTeX 27 pages | Nucl.Phys.B651:387-412,2003 | 10.1016/S0550-3213(02)01090-8 | null | hep-th cond-mat.stat-mech | null | We study the thermodynamical observables of the 2d Ising model in the
neighborhood of the magnetic axis by means of numerical diagonalization of the
transfer matrix. In particular, we estimate the leading order corrections to
the Zamolodchikov mass spectrum and find evidence of non-vanishing
contributions due to the stress-energy tensor.
| [
{
"created": "Fri, 2 Aug 2002 13:47:58 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 2002 13:20:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Grinza",
"P.",
""
],
[
"Rago",
"A.",
""
]
] | We study the thermodynamical observables of the 2d Ising model in the neighborhood of the magnetic axis by means of numerical diagonalization of the transfer matrix. In particular, we estimate the leading order corrections to the Zamolodchikov mass spectrum and find evidence of non-vanishing contributions due to the stress-energy tensor. |
1303.1995 | Roberto Emparan | Roberto Emparan, Daniel Grumiller, Kentaro Tanabe | Large D gravity and low D strings | 10 pages. v2: ref. added, minor corrections | Phys. Rev. Lett. 110 (2013) 251102 | 10.1103/PhysRevLett.110.251102 | TUW-13-04 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that in the limit of large number of dimensions a wide class of
non-extremal neutral black holes has a universal near horizon limit. The
limiting geometry is the two-dimensional black hole of string theory with a
two-dimensional target space. Its conformal symmetry explains properties of
massless scalars found recently in the large D limit. In analogy to the
situation for NS fivebranes, the dynamics near the horizon does not decouple
from the asymptotically flat region. We generalize the discussion to charged
black p-branes. For black branes with string charges, the near horizon geometry
is that of the three-dimensional black strings of Horne and Horowitz. The
analogies between the alpha' expansion in string theory and the large D
expansion in gravity suggest a possible effective string description of the
large D limit of black holes. We comment on applications to several subjects,
in particular to the problem of critical collapse.
| [
{
"created": "Fri, 8 Mar 2013 14:01:14 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2013 15:20:43 GMT",
"version": "v2"
}
] | 2013-07-23 | [
[
"Emparan",
"Roberto",
""
],
[
"Grumiller",
"Daniel",
""
],
[
"Tanabe",
"Kentaro",
""
]
] | We point out that in the limit of large number of dimensions a wide class of non-extremal neutral black holes has a universal near horizon limit. The limiting geometry is the two-dimensional black hole of string theory with a two-dimensional target space. Its conformal symmetry explains properties of massless scalars found recently in the large D limit. In analogy to the situation for NS fivebranes, the dynamics near the horizon does not decouple from the asymptotically flat region. We generalize the discussion to charged black p-branes. For black branes with string charges, the near horizon geometry is that of the three-dimensional black strings of Horne and Horowitz. The analogies between the alpha' expansion in string theory and the large D expansion in gravity suggest a possible effective string description of the large D limit of black holes. We comment on applications to several subjects, in particular to the problem of critical collapse. |
hep-th/0210155 | Michael Kroyter | Ehud Fuchs, Michael Kroyter, Alon Marcus | Virasoro operators in the continuous basis of string field theory | 16 pages | JHEP 0211 (2002) 046 | 10.1088/1126-6708/2002/11/046 | TAUP-2714-02 | hep-th | null | In this work we derive two important tools for working in the \kappa basis of
string field theory. First we give an analytical expression for the finite part
of the spectral density \rho_{fin}. This expression is relevant when both
matter and ghost sectors are considered. Then we calculate the form of the
matter part of the Virasoro generators L_n in the \kappa basis, which construct
string field theory's derivation Q_{BRST}. We find that the Virasoro generators
are given by one dimensional delta functions with complex arguments.
| [
{
"created": "Wed, 16 Oct 2002 13:29:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fuchs",
"Ehud",
""
],
[
"Kroyter",
"Michael",
""
],
[
"Marcus",
"Alon",
""
]
] | In this work we derive two important tools for working in the \kappa basis of string field theory. First we give an analytical expression for the finite part of the spectral density \rho_{fin}. This expression is relevant when both matter and ghost sectors are considered. Then we calculate the form of the matter part of the Virasoro generators L_n in the \kappa basis, which construct string field theory's derivation Q_{BRST}. We find that the Virasoro generators are given by one dimensional delta functions with complex arguments. |
hep-th/9909086 | Patrick J. Sutton | V. Frolov, P. Sutton, and A. Zelnikov | The Dimensional-Reduction Anomaly | LaTeX, 28 pages, references added. To be published in Phys. Rev. D | Phys.Rev. D61 (2000) 024021 | 10.1103/PhysRevD.61.024021 | Alberta-Thy-15-99 | hep-th gr-qc | null | In a wide class of D-dimensional spacetimes which are direct or semi-direct
sums of a (D-n)-dimensional space and an n-dimensional homogeneous ``internal''
space, a field can be decomposed into modes. As a result of this mode
decomposition, the main objects which characterize the free quantum field, such
as Green functions and heat kernels, can effectively be reduced to objects in a
(D-n)-dimensional spacetime with an external dilaton field. We study the
problem of the dimensional reduction of the effective action for such
spacetimes. While before renormalization the original D-dimensional effective
action can be presented as a ``sum over modes'' of (D-n)-dimensional effective
actions, this property is violated after renormalization. We calculate the
corresponding anomalous terms explicitly, illustrating the effect with some
simple examples.
| [
{
"created": "Mon, 13 Sep 1999 21:21:30 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Sep 1999 20:08:59 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Oct 1999 21:17:21 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Frolov",
"V.",
""
],
[
"Sutton",
"P.",
""
],
[
"Zelnikov",
"A.",
""
]
] | In a wide class of D-dimensional spacetimes which are direct or semi-direct sums of a (D-n)-dimensional space and an n-dimensional homogeneous ``internal'' space, a field can be decomposed into modes. As a result of this mode decomposition, the main objects which characterize the free quantum field, such as Green functions and heat kernels, can effectively be reduced to objects in a (D-n)-dimensional spacetime with an external dilaton field. We study the problem of the dimensional reduction of the effective action for such spacetimes. While before renormalization the original D-dimensional effective action can be presented as a ``sum over modes'' of (D-n)-dimensional effective actions, this property is violated after renormalization. We calculate the corresponding anomalous terms explicitly, illustrating the effect with some simple examples. |
1406.7159 | Kirill Krasnov | Kirill Krasnov | Gravitons and a complex of differential operators | 8 pages, 2 diagrams | Mod. Phys. Lett. A, Vol. 30, Nos. 3 & 4 (2015) 1540001 | 10.1142/S0217732315400015 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravity is now understood to become simple on-shell. We sketch how it becomes
simple also off-shell, when reformulated appropriately. Thus, we describe a
simple Lagrangian for gravitons that makes use of a certain complex of
differential operators. The Lagrangian is constructed analogously to that of
Maxwell's theory, just using a different complex. The complex, and therefore
also our description of gravitons, makes sense on any half-conformally flat
four-dimensional manifold.
| [
{
"created": "Fri, 27 Jun 2014 12:07:39 GMT",
"version": "v1"
}
] | 2015-01-26 | [
[
"Krasnov",
"Kirill",
""
]
] | Gravity is now understood to become simple on-shell. We sketch how it becomes simple also off-shell, when reformulated appropriately. Thus, we describe a simple Lagrangian for gravitons that makes use of a certain complex of differential operators. The Lagrangian is constructed analogously to that of Maxwell's theory, just using a different complex. The complex, and therefore also our description of gravitons, makes sense on any half-conformally flat four-dimensional manifold. |
hep-th/0312090 | Yukiko Konishi | Yukiko Konishi | Topological Strings, Instantons and Asymptotic Forms of Gopakumar-Vafa
Invariants | 25 pages, 5 figures; (v2) eq.(10) corrected | null | null | null | hep-th | null | We calculate the topological string amplitudes of Calabi-Yau toric threefolds
corresponding to 4D, N=2, SU(2) gauge theory with N_f=0,1,2,3,4 fundamental
hypermultiplets by using the method of the geometric transition and show that
they reproduce Nekrasov's formulas for instanton counting. We also determine
the asymptotic forms of the Gopakumar-Vafa invariants of the Calabi-Yau
threefolds including those at higher genera from instanton amplitudes of the
gauge theory.
| [
{
"created": "Tue, 9 Dec 2003 15:43:19 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jan 2004 00:19:15 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Konishi",
"Yukiko",
""
]
] | We calculate the topological string amplitudes of Calabi-Yau toric threefolds corresponding to 4D, N=2, SU(2) gauge theory with N_f=0,1,2,3,4 fundamental hypermultiplets by using the method of the geometric transition and show that they reproduce Nekrasov's formulas for instanton counting. We also determine the asymptotic forms of the Gopakumar-Vafa invariants of the Calabi-Yau threefolds including those at higher genera from instanton amplitudes of the gauge theory. |
hep-th/0602253 | Alexander Westphal | Susha L. Parameswaran and Alexander Westphal | de Sitter String Vacua from Perturbative Kahler Corrections and
Consistent D-terms | 1+14 pages, 1 figure, LaTeX, v2: uses JHEP class, references added,
typos removed, matches published version (JHEP) | JHEP0610:079,2006 | 10.1088/1126-6708/2006/10/079 | SISSA-08/2006/EP | hep-th astro-ph hep-ph | null | We present a new way to construct de Sitter vacua in type IIB flux
compactifications, in which moduli stabilization and D-term uplifting can be
combined in a manner consistent with the supergravity constraints. Here, the
closed string fluxes fix the dilaton and the complex structure moduli while
perturbative quantum corrections to the Kahler potential stabilize the volume
Kahler modulus in an AdS_4-vacuum. Then, the presence of magnetized D7-branes
in this setup provide supersymmetric D-terms in a fully consistent way which
uplift the AdS_4-vacuum to a metastable dS-minimum.
| [
{
"created": "Thu, 23 Feb 2006 22:41:07 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2006 17:02:48 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Parameswaran",
"Susha L.",
""
],
[
"Westphal",
"Alexander",
""
]
] | We present a new way to construct de Sitter vacua in type IIB flux compactifications, in which moduli stabilization and D-term uplifting can be combined in a manner consistent with the supergravity constraints. Here, the closed string fluxes fix the dilaton and the complex structure moduli while perturbative quantum corrections to the Kahler potential stabilize the volume Kahler modulus in an AdS_4-vacuum. Then, the presence of magnetized D7-branes in this setup provide supersymmetric D-terms in a fully consistent way which uplift the AdS_4-vacuum to a metastable dS-minimum. |
1504.06303 | Benoit Vicedo | Benoit Vicedo | Deformed integrable $\sigma$-models, classical $R$-matrices and
classical exchange algebra on Drinfel'd doubles | 33 pages, 4 figures | null | 10.1088/1751-8113/48/35/355203 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a unifying framework for the systematic construction of
integrable deformations of integrable $\sigma$-models within the Hamiltonian
formalism. It applies equally to both the `Yang-Baxter' type as well as `gauged
WZW' type deformations which were considered recently in the literature. As a
byproduct, these two families of integrable deformations are shown to be
Poisson-Lie T-dual of one another.
| [
{
"created": "Thu, 23 Apr 2015 19:27:25 GMT",
"version": "v1"
}
] | 2015-09-02 | [
[
"Vicedo",
"Benoit",
""
]
] | We describe a unifying framework for the systematic construction of integrable deformations of integrable $\sigma$-models within the Hamiltonian formalism. It applies equally to both the `Yang-Baxter' type as well as `gauged WZW' type deformations which were considered recently in the literature. As a byproduct, these two families of integrable deformations are shown to be Poisson-Lie T-dual of one another. |
2104.05731 | Takahiro Terada | Takahiro Terada | Minimal Supergravity Inflation without Slow Gravitino | 30 pages; published version (very minor revision; references added) | Phys. Rev. D 103, 125022 (2021) | 10.1103/PhysRevD.103.125022 | CTPU-PTC-21-15 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We utilize a recently proposed cubic nilpotent superfield to realize
inflation in supergravity with the minimal degrees of freedom: the inflaton,
graviton, and massive gravitino. As an advantage, the resultant model is free
from the catastrophic production of gravitinos due to its vanishing propagation
speed. However, the model suffers from the standard gravitino problem, and its
viability depends on the mass spectrum and the thermal history of the universe.
| [
{
"created": "Mon, 12 Apr 2021 18:00:06 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 2021 04:26:43 GMT",
"version": "v2"
}
] | 2021-06-30 | [
[
"Terada",
"Takahiro",
""
]
] | We utilize a recently proposed cubic nilpotent superfield to realize inflation in supergravity with the minimal degrees of freedom: the inflaton, graviton, and massive gravitino. As an advantage, the resultant model is free from the catastrophic production of gravitinos due to its vanishing propagation speed. However, the model suffers from the standard gravitino problem, and its viability depends on the mass spectrum and the thermal history of the universe. |
hep-th/9709083 | Gennady Danilov | G. S. Danilov | Regularization of superstring amplitudes and a cancellation of
divergences in superstring theory | 9 pages, Latex | null | null | Preprint PNPI-2181, 1997 | hep-th | null | For a calculation of divergent fermion string amplitudes a regularization
procedure invariant under the supermodular group is constructed. By this
procedure superstring amplitudes of an arbitrary genus are calculated using
both partition functions and superfield vacuum correlators computed early. A
finiteness of superstring amplitudes and related topics are discussed.
| [
{
"created": "Thu, 11 Sep 1997 11:33:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Danilov",
"G. S.",
""
]
] | For a calculation of divergent fermion string amplitudes a regularization procedure invariant under the supermodular group is constructed. By this procedure superstring amplitudes of an arbitrary genus are calculated using both partition functions and superfield vacuum correlators computed early. A finiteness of superstring amplitudes and related topics are discussed. |
hep-th/9707131 | Cumrun Vafa | Cumrun Vafa | Geometric Origin of Montonen-Olive Duality | 8 pages | Adv.Theor.Math.Phys.1:158-166,1998 | null | HUTP-97/A034 | hep-th | null | We show how $N=4, D=4$ duality of Montonen and Olive can be derived for all
gauge groups using geometric engineering in the context of type II strings,
where it reduces to T-duality. The derivation for the non-simply laced cases
involves the use of some well known facts about orbifold conformal theories.
| [
{
"created": "Mon, 14 Jul 1997 15:18:27 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Vafa",
"Cumrun",
""
]
] | We show how $N=4, D=4$ duality of Montonen and Olive can be derived for all gauge groups using geometric engineering in the context of type II strings, where it reduces to T-duality. The derivation for the non-simply laced cases involves the use of some well known facts about orbifold conformal theories. |
hep-th/9605040 | Steffen Meissner | St. Meissner and B.-D. Doerfel (HU Berlin) | Ground state and low excitations of an integrable chain with alternating
spins | 16 pages, LaTeX, uses ioplppt.sty and PicTeX macros | J.Phys.A29:1949-1960,1996 | 10.1088/0305-4470/29/9/010 | SFB 288 preprint no. 179 | hep-th | null | An anisotropic integrable spin chain, consisting of spins $s=1$ and
$s=\frac{1}{2}$, is investigated \cite{devega}. It is characterized by two real
parameters $\bar{c}$ and $\tilde{c}$, the coupling constants of the spin
interactions. For the case $\bar{c}<0$ and $\tilde{c}<0$ the ground state
configuration is obtained by means of thermodynamic Bethe ansatz. Furthermore
the low excitations are calculated. It turns out, that apart from free magnon
states being the holes in the ground state rapidity distribution, there exist
bound states given by special string solutions of Bethe ansatz equations (BAE)
in analogy to \cite{babelon}. The dispersion law of these excitations is
calculated numerically.
| [
{
"created": "Tue, 7 May 1996 09:39:20 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Meissner",
"St.",
"",
"HU Berlin"
],
[
"Doerfel",
"B. -D.",
"",
"HU Berlin"
]
] | An anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, is investigated \cite{devega}. It is characterized by two real parameters $\bar{c}$ and $\tilde{c}$, the coupling constants of the spin interactions. For the case $\bar{c}<0$ and $\tilde{c}<0$ the ground state configuration is obtained by means of thermodynamic Bethe ansatz. Furthermore the low excitations are calculated. It turns out, that apart from free magnon states being the holes in the ground state rapidity distribution, there exist bound states given by special string solutions of Bethe ansatz equations (BAE) in analogy to \cite{babelon}. The dispersion law of these excitations is calculated numerically. |
0809.1600 | Terence Sewards | Terence V. Sewards | A sectorial approach to Kaluza-Klein theory | 23 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Kaluza and Klein versions of Kaluza-Klein theory are reviewed and
compared. The differences in the field equations of the two theories are
related to the transformation properties of the metrics employed. Based on this
comparison a modified version of the Kaluza theory is proposed, in which the
different sectors of the metric which describe gravitation, electromagnetism
and the scalar field are considered to be partially separate entities, with
distinct coordinate transformation properties. In addition, the cylinder
condition is relaxed, so that it only affects the 4-D sector of the metric.
This results in a theory in which the gravitational and electromagnetic fields
are restricted to a four-dimensional brane, and the scalar field is restricted
to the 5-D bulk.
| [
{
"created": "Tue, 9 Sep 2008 16:38:08 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2008 17:36:16 GMT",
"version": "v2"
}
] | 2008-12-09 | [
[
"Sewards",
"Terence V.",
""
]
] | The Kaluza and Klein versions of Kaluza-Klein theory are reviewed and compared. The differences in the field equations of the two theories are related to the transformation properties of the metrics employed. Based on this comparison a modified version of the Kaluza theory is proposed, in which the different sectors of the metric which describe gravitation, electromagnetism and the scalar field are considered to be partially separate entities, with distinct coordinate transformation properties. In addition, the cylinder condition is relaxed, so that it only affects the 4-D sector of the metric. This results in a theory in which the gravitational and electromagnetic fields are restricted to a four-dimensional brane, and the scalar field is restricted to the 5-D bulk. |
2203.10022 | Max Hubner | Max Hubner, David R. Morrison, Sakura Schafer-Nameki, Yi-Nan Wang | Generalized Symmetries in F-theory and the Topology of Elliptic
Fibrations | 57 pages, tikz figures, added clarifications | SciPost Phys. 13, 030 (2022) | 10.21468/SciPostPhys.13.2.030 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We realize higher-form symmetries in F-theory compactifications on
non-compact elliptically fibered Calabi-Yau manifolds. Central to this
endeavour is the topology of the boundary of the non-compact elliptic
fibration, as well as the explicit construction of relative 2-cycles in terms
of Lefschetz thimbles. We apply the analysis to a variety of elliptic
fibrations, including geometries where the discriminant of the elliptic
fibration intersects the boundary. We provide a concrete realization of the
1-form symmetry group by constructing the associated charged line operator from
the elliptic fibration. As an application we compute the symmetry topological
field theories in the case of elliptic three-folds, which correspond to mixed
anomalies in 5d and 6d theories.
| [
{
"created": "Fri, 18 Mar 2022 15:39:54 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Apr 2022 01:49:48 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Jul 2022 22:43:43 GMT",
"version": "v3"
}
] | 2022-08-24 | [
[
"Hubner",
"Max",
""
],
[
"Morrison",
"David R.",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Wang",
"Yi-Nan",
""
]
] | We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds. Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explicit construction of relative 2-cycles in terms of Lefschetz thimbles. We apply the analysis to a variety of elliptic fibrations, including geometries where the discriminant of the elliptic fibration intersects the boundary. We provide a concrete realization of the 1-form symmetry group by constructing the associated charged line operator from the elliptic fibration. As an application we compute the symmetry topological field theories in the case of elliptic three-folds, which correspond to mixed anomalies in 5d and 6d theories. |
1210.2404 | Yanwen Shang | Yanwen Shang | Correlation functions in the holographic replica method | 24 pages | null | 10.1007/JHEP12(2012)120 | null | hep-th cond-mat.dis-nn cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Disorder has long been a difficult subject in condensed matter systems and
the The replica method is a well-known tool in this field. Implementing the
replica method the AdS/CFT correspondence has been proposed and discussed in
literatures. We point out, for any CFT that has a holographic dual and to the
leading order of the large-N expansion, the corrections due to the presence of
random disorder to any connected correlation functions vanish identically,
provided that the disorder strength is normalized as discussed in literatures
and that the symmetry among replicas is unbroken. Same must hold true to any
observables that are determined by the connected correlation functions through
a linear relation. This behavior resembles strongly that of a free theory where
disorder is coupled to the fundamental field. We demonstrate this by both the
means of holographic principle and field theory analysis in a toy model. We
also propose ways of evaluating the non-zero sub-leading effects perturbatively
in terms of the disorder strength and discuss a novel possibility of defining a
new holographic dual if we adopt a different normalization for the disorder
strength.
| [
{
"created": "Mon, 8 Oct 2012 20:08:17 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Shang",
"Yanwen",
""
]
] | Disorder has long been a difficult subject in condensed matter systems and the The replica method is a well-known tool in this field. Implementing the replica method the AdS/CFT correspondence has been proposed and discussed in literatures. We point out, for any CFT that has a holographic dual and to the leading order of the large-N expansion, the corrections due to the presence of random disorder to any connected correlation functions vanish identically, provided that the disorder strength is normalized as discussed in literatures and that the symmetry among replicas is unbroken. Same must hold true to any observables that are determined by the connected correlation functions through a linear relation. This behavior resembles strongly that of a free theory where disorder is coupled to the fundamental field. We demonstrate this by both the means of holographic principle and field theory analysis in a toy model. We also propose ways of evaluating the non-zero sub-leading effects perturbatively in terms of the disorder strength and discuss a novel possibility of defining a new holographic dual if we adopt a different normalization for the disorder strength. |
2007.02077 | Alok Laddha | Manu A, Debodirna Ghosh, Alok Laddha and Athira P.V | Soft Radiation from Scattering Amplitudes Revisited | 53 pages, Improved presentation, typos corrected | JHEP05(2021)056 | 10.1007/JHEP05(2021)056 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the recently developed formalism by Kosower, Maybee and O'Connell
(KMO) to analyse the soft electromagnetic and soft gravitational radiation
emitted by particles without spin in Four and higher dimensions. We use this
formalism in conjunction with quantum soft theorems to derive radiative
electro-magnetic and gravitational fields in low frequency expansion and to
next to leading order in the coupling. We show that in all dimensions, the
classical limit of sub-leading soft (photon and graviton) theorems is
consistent with the classical soft theorems proved by Sen et al in a series of
papers. In particular Saha, Sahoo and Sen proved classical soft theorems for
electro-magnetic and gravitational radiation in Four dimensions. For the class
of scattering processes that can be analyzed using KMO formalism, we show that
the classical limit of quantum soft theorems is consistent with these classical
soft theorems, paving the way for their proof from scattering amplitudes.
| [
{
"created": "Sat, 4 Jul 2020 11:59:02 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2021 05:47:31 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"A",
"Manu",
""
],
[
"Ghosh",
"Debodirna",
""
],
[
"Laddha",
"Alok",
""
],
[
"P.",
"Athira",
"V"
]
] | We apply the recently developed formalism by Kosower, Maybee and O'Connell (KMO) to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in Four and higher dimensions. We use this formalism in conjunction with quantum soft theorems to derive radiative electro-magnetic and gravitational fields in low frequency expansion and to next to leading order in the coupling. We show that in all dimensions, the classical limit of sub-leading soft (photon and graviton) theorems is consistent with the classical soft theorems proved by Sen et al in a series of papers. In particular Saha, Sahoo and Sen proved classical soft theorems for electro-magnetic and gravitational radiation in Four dimensions. For the class of scattering processes that can be analyzed using KMO formalism, we show that the classical limit of quantum soft theorems is consistent with these classical soft theorems, paving the way for their proof from scattering amplitudes. |
hep-th/9406040 | Steven Brumby | S.P.Brumby, G.C.Joshi, and Ronald Anderson | Multi-particle Correlations in Quaternionic Quantum Systems | REVTeX 3.0, 16 pages, no figures, UM-P-94/54, RCHEP-94/15 | Phys.Rev. A51 (1995) 976-981 | 10.1103/PhysRevA.51.976 | null | hep-th hep-ph | null | We investigate the outcomes of measurements on correlated, few-body quantum
systems described by a quaternionic quantum mechanics that allows for regions
of quaternionic curvature. We find that a multi-particle interferometry
experiment using a correlated system of four nonrelativistic, spin-half
particles has the potential to detect the presence of quaternionic curvature.
Two-body systems, however, are shown to give predictions identical to those of
standard quantum mechanics when relative angles are used in the construction of
the operators corresponding to measurements of particle spin components.
| [
{
"created": "Thu, 9 Jun 1994 01:43:32 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Brumby",
"S. P.",
""
],
[
"Joshi",
"G. C.",
""
],
[
"Anderson",
"Ronald",
""
]
] | We investigate the outcomes of measurements on correlated, few-body quantum systems described by a quaternionic quantum mechanics that allows for regions of quaternionic curvature. We find that a multi-particle interferometry experiment using a correlated system of four nonrelativistic, spin-half particles has the potential to detect the presence of quaternionic curvature. Two-body systems, however, are shown to give predictions identical to those of standard quantum mechanics when relative angles are used in the construction of the operators corresponding to measurements of particle spin components. |
1609.07381 | Gianluca Zoccarato | Hirotaka Hayashi, Gianluca Zoccarato | Partition functions of web diagrams with an O7$^-$-plane | 51 pages, 23 figures. v2, minor clarifications in section 3 | null | 10.1007/JHEP03(2017)112 | IFT-UAM/CSIC-16-085 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the computation of the topological string partition function for
5-brane web diagrams with an O7$^-$-plane. Since upon quantum resolution of the
orientifold plane these diagrams become non-toric web diagrams without the
orientifold we are able to apply the topological vertex to obtain the Nekrasov
partition function of the corresponding 5d theory. We apply this procedure to
the case of 5d $SU(N)$ theories with one hypermultiplet in the antisymmetric
representation and to the case of 5d pure $USp(2N)$ theories. For these cases
we discuss the dictionary between parameters and moduli of the 5d gauge theory
and lengths of 5-branes in the web diagram and moreover we perform comparison
of the results obtained via application of the topological vertex and the one
obtained via localisation techniques, finding in all instances we consider
perfect agreement.
| [
{
"created": "Fri, 23 Sep 2016 14:30:50 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Oct 2016 10:54:01 GMT",
"version": "v2"
}
] | 2017-04-26 | [
[
"Hayashi",
"Hirotaka",
""
],
[
"Zoccarato",
"Gianluca",
""
]
] | We consider the computation of the topological string partition function for 5-brane web diagrams with an O7$^-$-plane. Since upon quantum resolution of the orientifold plane these diagrams become non-toric web diagrams without the orientifold we are able to apply the topological vertex to obtain the Nekrasov partition function of the corresponding 5d theory. We apply this procedure to the case of 5d $SU(N)$ theories with one hypermultiplet in the antisymmetric representation and to the case of 5d pure $USp(2N)$ theories. For these cases we discuss the dictionary between parameters and moduli of the 5d gauge theory and lengths of 5-branes in the web diagram and moreover we perform comparison of the results obtained via application of the topological vertex and the one obtained via localisation techniques, finding in all instances we consider perfect agreement. |
2302.06693 | Keyou Zeng | Keyou Zeng | Twisted Holography and Celestial Holography from Boundary Chiral Algebra | 99 pages | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study the Kaluza-Klein reduction of various $6d$ holomorphic theories. The
KK reduction is analyzed in the BV formalism, resulting in theories that come
from the holomorphic topological twist of $3d$ $\mathcal{N} = 2$ supersymmetric
field theories. Effective interactions of the KK theories at the classical
level can be obtained at all orders using homotopy transfer theorem. We also
analyze a deformation of the theories that comes from deforming the spacetime
geometry to $SL_2(\mathbb{C})$ due to the brane back-reaction. We study the
boundary chiral algebras for the various KK theories. Using Koszul duality, we
argue that by properly choosing a boundary condition, the boundary chiral
algebra coincides with the universal defect chiral algebra of the original
theory. This perspective provides a unified framework for accessing the chiral
algebras that arise from both twisted holography and celestial holography
programs.
| [
{
"created": "Mon, 13 Feb 2023 21:16:34 GMT",
"version": "v1"
}
] | 2023-02-15 | [
[
"Zeng",
"Keyou",
""
]
] | We study the Kaluza-Klein reduction of various $6d$ holomorphic theories. The KK reduction is analyzed in the BV formalism, resulting in theories that come from the holomorphic topological twist of $3d$ $\mathcal{N} = 2$ supersymmetric field theories. Effective interactions of the KK theories at the classical level can be obtained at all orders using homotopy transfer theorem. We also analyze a deformation of the theories that comes from deforming the spacetime geometry to $SL_2(\mathbb{C})$ due to the brane back-reaction. We study the boundary chiral algebras for the various KK theories. Using Koszul duality, we argue that by properly choosing a boundary condition, the boundary chiral algebra coincides with the universal defect chiral algebra of the original theory. This perspective provides a unified framework for accessing the chiral algebras that arise from both twisted holography and celestial holography programs. |
hep-th/0408229 | Luzi Bergamin | L. Bergamin | Quantum dilaton supergravity in 2D with non-minimally coupled matter | 8 pages. Contribution to the second international workshop "Gravity,
Astrophysics and Strings at the Black Sea", June 10-16, 2004 | in "Gravity, Astrophysics, and Strings @ the Black Sea", P.P.
Fiziev and M.D. Todorov (Eds.), St.Kliment Ohridski University Press, pp.
17-28, Sofia, 2005 | null | null | hep-th | null | General N=(1,1) dilaton supergravity in two dimensions allows a background
independent exact quantization of the geometric part, if these theories are
formulated as specific graded Poisson-sigma models. In this work the extension
of earlier results to models with non-minimally coupled matter is presented. In
particular, the modifications of the constraint algebra due to non-minimal
couplings are calculated and it is shown that quartic ghost-terms do not arise.
Consequently the path-integral quantization as known from bosonic theories and
supergravity with minimally coupled matter can be taken over.
| [
{
"created": "Mon, 30 Aug 2004 14:37:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bergamin",
"L.",
""
]
] | General N=(1,1) dilaton supergravity in two dimensions allows a background independent exact quantization of the geometric part, if these theories are formulated as specific graded Poisson-sigma models. In this work the extension of earlier results to models with non-minimally coupled matter is presented. In particular, the modifications of the constraint algebra due to non-minimal couplings are calculated and it is shown that quartic ghost-terms do not arise. Consequently the path-integral quantization as known from bosonic theories and supergravity with minimally coupled matter can be taken over. |
hep-th/9810187 | Christos Kokorelis | Christos Kokorelis | Generalized $\mu$-Terms from Orbifolds and M-Theory | 32 pages, LaTex, More material added on non-perturbative
superpotentials and $\mu$-term generation | null | null | SUSX-TH-98-007, SITP-98-001 | hep-th hep-ph | null | We consider solutions to the $\mu$-problem originating in the effective low
energy theories, of N=1 orbifold compactifications of the heterotic string,
after supersymmetry breaking. They are consistent with the invariance of the
one loop corrected effective action in the linear representation of the
dilaton. The proposed $\mu$-terms naturally generalize solutions proposed
previously, in the literature, in the context of minimal low energy
supergravity models. They emanate from the connection of the non-perturbative
superpotential to the determinant of the mass matrix of the chiral
compactification modes. Within this approach we discuss the lifting of our
solutions to their M-theory compactification counterparts.
| [
{
"created": "Fri, 23 Oct 1998 04:22:10 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 1998 20:16:33 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Jun 1999 15:30:19 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Kokorelis",
"Christos",
""
]
] | We consider solutions to the $\mu$-problem originating in the effective low energy theories, of N=1 orbifold compactifications of the heterotic string, after supersymmetry breaking. They are consistent with the invariance of the one loop corrected effective action in the linear representation of the dilaton. The proposed $\mu$-terms naturally generalize solutions proposed previously, in the literature, in the context of minimal low energy supergravity models. They emanate from the connection of the non-perturbative superpotential to the determinant of the mass matrix of the chiral compactification modes. Within this approach we discuss the lifting of our solutions to their M-theory compactification counterparts. |
hep-th/0107026 | Nail R. Khusnutdinov | N.R. Khusnutdinov and V.B. Bezerra | Self-energy and Self-force in the Space-time of a Thick Cosmic String | 15 pages, 4 Postscript figures, ReVTeX | Phys.Rev. D64 (2001) 083506 | 10.1103/PhysRevD.64.083506 | null | hep-th | null | We calculate the self-energy and self-force for an electrically charged
particle at rest in the background of Gott-Hiscock cosmic string space-time. We
found the general expression for the self-energy which is expressed in terms of
the $S$ matrix of the scattering problem. The self-energy continuously falls
down outward from the string's center with maximum at the origin of the string.
The self-force is repulsive for an arbitrary position of the particle. It tends
to zero in the string's center and also far from the string and it has a
maximum value at the string's surface. The plots of the numerical calculations
of the self-energy and self-force are shown.
| [
{
"created": "Wed, 4 Jul 2001 13:20:22 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Khusnutdinov",
"N. R.",
""
],
[
"Bezerra",
"V. B.",
""
]
] | We calculate the self-energy and self-force for an electrically charged particle at rest in the background of Gott-Hiscock cosmic string space-time. We found the general expression for the self-energy which is expressed in terms of the $S$ matrix of the scattering problem. The self-energy continuously falls down outward from the string's center with maximum at the origin of the string. The self-force is repulsive for an arbitrary position of the particle. It tends to zero in the string's center and also far from the string and it has a maximum value at the string's surface. The plots of the numerical calculations of the self-energy and self-force are shown. |
hep-th/0409130 | Rong-Gen Cai | Hao Wei, Rong-Gen Cai and Anzhong Wang | Second-Order Corrections to the Power Spectrum in the Slow-Roll
Expansion with a Time-Dependent Sound Speed | Latex, 12 pages, no figure, v2: minor changes; v3: typos fixed and
added references | Phys.Lett.B603:95-106,2004 | 10.1016/j.physletb.2004.10.034 | null | hep-th astro-ph gr-qc | null | We extend Green's function method developed by Stewart and Gong to calculate
the power spectrum of density perturbation in the case with a time-dependent
sound speed, and explicitly give the power spectrum and spectral index up to
second-order corrections in the slow-roll expansion. The case of tachyon
inflation is included as a special case.
| [
{
"created": "Mon, 13 Sep 2004 22:39:53 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2004 02:08:01 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Nov 2004 16:07:02 GMT",
"version": "v3"
}
] | 2009-07-07 | [
[
"Wei",
"Hao",
""
],
[
"Cai",
"Rong-Gen",
""
],
[
"Wang",
"Anzhong",
""
]
] | We extend Green's function method developed by Stewart and Gong to calculate the power spectrum of density perturbation in the case with a time-dependent sound speed, and explicitly give the power spectrum and spectral index up to second-order corrections in the slow-roll expansion. The case of tachyon inflation is included as a special case. |
1504.05593 | Craig Lawrie | Craig Lawrie, Sakura Schafer-Nameki, Jin-Mann Wong | F-theory and All Things Rational: Surveying U(1) Symmetries with
Rational Sections | 93 pages, 23 figures | null | 10.1007/JHEP09(2015)144 | KCL-MTH-15-03 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study elliptic fibrations for F-theory compactifications realizing 4d and
6d supersymmetric gauge theories with abelian gauge factors. In the fibration
these U(1) symmetries are realized in terms of additional rational sections. We
obtain a universal characterization of all the possible U(1) charges of matter
fields by determining the corresponding codimension two fibers with rational
sections. In view of modelling supersymmetric Grand Unified Theories, one of
the main examples that we analyze are U(1) symmetries for SU(5) gauge theories
with \bar{5} and 10 matter. We use a combination of constraints on the normal
bundle of rational curves in Calabi-Yau three- and four-folds, as well as the
splitting of rational curves in the fibers in codimension two, to determine the
possible configurations of smooth rational sections. This analysis
straightforwardly generalizes to multiple U(1)s. We study the flops of such
fibers, as well as some of the Yukawa couplings in codimension three.
Furthermore, we carry out a universal study of the U(1)-charged GUT singlets,
including their KK-charges, and determine all realizations of singlet fibers.
By giving vacuum expectation values to these singlets, we propose a systematic
way to analyze the Higgsing of U(1)s to discrete gauge symmetries in F-theory.
| [
{
"created": "Tue, 21 Apr 2015 20:01:43 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Nov 2018 19:42:43 GMT",
"version": "v2"
}
] | 2018-11-27 | [
[
"Lawrie",
"Craig",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Wong",
"Jin-Mann",
""
]
] | We study elliptic fibrations for F-theory compactifications realizing 4d and 6d supersymmetric gauge theories with abelian gauge factors. In the fibration these U(1) symmetries are realized in terms of additional rational sections. We obtain a universal characterization of all the possible U(1) charges of matter fields by determining the corresponding codimension two fibers with rational sections. In view of modelling supersymmetric Grand Unified Theories, one of the main examples that we analyze are U(1) symmetries for SU(5) gauge theories with \bar{5} and 10 matter. We use a combination of constraints on the normal bundle of rational curves in Calabi-Yau three- and four-folds, as well as the splitting of rational curves in the fibers in codimension two, to determine the possible configurations of smooth rational sections. This analysis straightforwardly generalizes to multiple U(1)s. We study the flops of such fibers, as well as some of the Yukawa couplings in codimension three. Furthermore, we carry out a universal study of the U(1)-charged GUT singlets, including their KK-charges, and determine all realizations of singlet fibers. By giving vacuum expectation values to these singlets, we propose a systematic way to analyze the Higgsing of U(1)s to discrete gauge symmetries in F-theory. |
hep-th/0001005 | Juergen Fuchs | J. Fuchs, C. Schweigert | Bundles of chiral blocks and boundary conditions in CFT | 18 pages, LaTeX2e; slightly extended version of contribution to the
Proceedings of `Lie III' (Clausthal, July 1999) | null | null | PAR-LPTHE 99-48 | hep-th | null | Various aspects of spaces of chiral blocks are discussed. In particular,
conjectures about the dimensions of irreducible sub-bundles are reviewed and
their relation to symmetry breaking conformal boundary conditions is outlined.
| [
{
"created": "Sun, 2 Jan 2000 17:06:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fuchs",
"J.",
""
],
[
"Schweigert",
"C.",
""
]
] | Various aspects of spaces of chiral blocks are discussed. In particular, conjectures about the dimensions of irreducible sub-bundles are reviewed and their relation to symmetry breaking conformal boundary conditions is outlined. |
hep-th/0410090 | Carlo Iazeolla | Carlo Iazeolla | Sulle interazioni dei campi di gauge di spin arbitrario | 175 pages, 8 figures | null | null | null | hep-th | null | This manuscript describes in some detail the basic features of higher-spin
gauge fields. After presenting some introductory material, I turn to the
different formulations available at the free level and finally end with a
discussion of the Vasiliev equations in four dimensions based on spinor
oscillators.
From the Laurea Thesis defended at the University of Rome "Tor Vergata" on
July 2004 (in Italian) .
| [
{
"created": "Fri, 8 Oct 2004 14:03:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Iazeolla",
"Carlo",
""
]
] | This manuscript describes in some detail the basic features of higher-spin gauge fields. After presenting some introductory material, I turn to the different formulations available at the free level and finally end with a discussion of the Vasiliev equations in four dimensions based on spinor oscillators. From the Laurea Thesis defended at the University of Rome "Tor Vergata" on July 2004 (in Italian) . |
2102.05017 | Arthur Hutsalyuk | Arthur Hutsalyuk and Andrii Liashyk | Master equation for correlation functions in algebra symmetry
$\mathfrak{gl}(2|1)$ related models | 18 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider integrable models solved by the nested algebraic Bethe ansatz and
associated with $\mathfrak{gl}(2|1)$ or $\mathfrak{gl}(3)$ algebra symmetry.
The analogue of sum formulae, previously formulated for scalar products, is
established for the form factors and correlation functions. These formulae are
direct generalisation of the some earlier results derived for models with
$\mathfrak{gl}(2)$ symmetric $R$-matrix. It is also shown that in the case of
algebra symmetry $\mathfrak{gl}(2|1)$ related models such formula allows to
establish a multiple integral representation for correlation functions and form
factors.
| [
{
"created": "Tue, 9 Feb 2021 18:35:11 GMT",
"version": "v1"
}
] | 2021-02-10 | [
[
"Hutsalyuk",
"Arthur",
""
],
[
"Liashyk",
"Andrii",
""
]
] | We consider integrable models solved by the nested algebraic Bethe ansatz and associated with $\mathfrak{gl}(2|1)$ or $\mathfrak{gl}(3)$ algebra symmetry. The analogue of sum formulae, previously formulated for scalar products, is established for the form factors and correlation functions. These formulae are direct generalisation of the some earlier results derived for models with $\mathfrak{gl}(2)$ symmetric $R$-matrix. It is also shown that in the case of algebra symmetry $\mathfrak{gl}(2|1)$ related models such formula allows to establish a multiple integral representation for correlation functions and form factors. |
2009.08895 | Tom\'a\v{s} Brauner | Tomas Brauner | Remarks on relativistic scalar models with chemical potential | 9 pages; pedagogical note on aspects of relativistic scalar field
theory at nonzero density, self-published on the author's web page, see
https://sites.google.com/site/braunercz/notes | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss selected aspects of classical relativistic scalar field theories
with nonzero chemical potential. First, we offer a review of classical field
theory at nonzero density within the Lagrangian formalism. The aspects covered
include the question of equivalence of descriptions of finite-density states
using a chemical potential or time-dependent field configurations, the choice
of Hamiltonian whose minimization yields the finite-density equilibrium state,
and the issue of breaking of Lorentz invariance. Second, we demonstrate how the
low-energy effective field theory for Nambu-Goldstone (NG) modes arising from
the spontaneous breakdown of global internal symmetries can be worked out
explicitly by integrating out the heavy (Higgs) fields. This makes it possible
to analyze the spectrum of NG modes and their interactions without having to
deal with mixing of NG and Higgs fields, ubiquitous in the linear-sigma-model
description of spontaneous symmetry breaking.
| [
{
"created": "Fri, 18 Sep 2020 15:38:21 GMT",
"version": "v1"
}
] | 2020-09-21 | [
[
"Brauner",
"Tomas",
""
]
] | We discuss selected aspects of classical relativistic scalar field theories with nonzero chemical potential. First, we offer a review of classical field theory at nonzero density within the Lagrangian formalism. The aspects covered include the question of equivalence of descriptions of finite-density states using a chemical potential or time-dependent field configurations, the choice of Hamiltonian whose minimization yields the finite-density equilibrium state, and the issue of breaking of Lorentz invariance. Second, we demonstrate how the low-energy effective field theory for Nambu-Goldstone (NG) modes arising from the spontaneous breakdown of global internal symmetries can be worked out explicitly by integrating out the heavy (Higgs) fields. This makes it possible to analyze the spectrum of NG modes and their interactions without having to deal with mixing of NG and Higgs fields, ubiquitous in the linear-sigma-model description of spontaneous symmetry breaking. |
hep-th/9603117 | Jose N. Pecina-Cruz | Carlos Castro (Physics Dept, University of Texas, Austin) | p-Branes as Composite Antisymmetric Tensor Field Theories | 17 pages, Tex file, revised version with the inclusion of a
derivation of the analog of S and T duality symmetry | Int.J.Mod.Phys. A13 (1998) 1263-1292 | 10.1142/S0217751X98000597 | null | hep-th | null | $p'$-brane solutions to rank $p+1$ composite antisymmetric tensor field
theories of the kind developed by Guendelman, Nissimov and Pacheva are found
when the dimensionality of spacetime is $D=(p+1)+(p'+1)$. These field theories
posses an infinite dimensional group of global Noether symmetries, that of
volume-preserving diffeomorphisms of the target space of the scalar primitive
field constituents. Crucial in the construction of $p'$ brane solutions are the
duality transformations of the fields and the local gauge field theory
formulation of extended objects given by Aurilia, Spallucci and Smailagic.
Field equations are rotated into Bianchi identities after the duality
transformation is performed and the Clebsch potentials associated with the
Hamilton-Jacobi formulation of the $p'$ brane can be identified with the
$duals$ of the original scalar primitive constituents. Different types of
Kalb-Ramond actions are discussed and a particular covariant action is
presented which bears a direct relation to the light-cone gauge $p$-brane
action. A simple derivation of $S$ and $T$ duality is also given. \medskip
| [
{
"created": "Sun, 17 Mar 1996 22:05:17 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Mar 1996 16:31:09 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Apr 1996 23:57:06 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Castro",
"Carlos",
"",
"Physics Dept, University of Texas, Austin"
]
] | $p'$-brane solutions to rank $p+1$ composite antisymmetric tensor field theories of the kind developed by Guendelman, Nissimov and Pacheva are found when the dimensionality of spacetime is $D=(p+1)+(p'+1)$. These field theories posses an infinite dimensional group of global Noether symmetries, that of volume-preserving diffeomorphisms of the target space of the scalar primitive field constituents. Crucial in the construction of $p'$ brane solutions are the duality transformations of the fields and the local gauge field theory formulation of extended objects given by Aurilia, Spallucci and Smailagic. Field equations are rotated into Bianchi identities after the duality transformation is performed and the Clebsch potentials associated with the Hamilton-Jacobi formulation of the $p'$ brane can be identified with the $duals$ of the original scalar primitive constituents. Different types of Kalb-Ramond actions are discussed and a particular covariant action is presented which bears a direct relation to the light-cone gauge $p$-brane action. A simple derivation of $S$ and $T$ duality is also given. \medskip |
1002.1716 | Evgeny Buchbinder | Evgeny I. Buchbinder | Energy-Spin Trajectories in AdS_5 x S^5 from Semiclassical Vertex
Operators | 23 pages, 1 Figure | JHEP 1004:107, 2010; JHEP 1004:107,2010 | 10.1007/JHEP04(2010)107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the relation between vertex operators in AdS_5 x S^5 and classical
spinning string solutions. In the limit of large quantum numbers the treatment
of vertex operators becomes semiclassical. In this regime, a given vertex
operator carrying a certain set of quantum numbers defines a singular solution.
We show in a number of examples that this solution coincides with the classical
string solution with the same quantum numbers but written in a different
two-dimensional coordinate system. The marginality condition imposed on an
operator yields a relation between the energy and the other quantum numbers
which is shown to coincide with that of the corresponding classical string
solution. We also argue that in some cases vertex operators in AdS_5 x S^5
cannot be given by expressions similar to the ones in flat space and a more
involved consideration is required.
| [
{
"created": "Mon, 8 Feb 2010 21:09:51 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Buchbinder",
"Evgeny I.",
""
]
] | We study the relation between vertex operators in AdS_5 x S^5 and classical spinning string solutions. In the limit of large quantum numbers the treatment of vertex operators becomes semiclassical. In this regime, a given vertex operator carrying a certain set of quantum numbers defines a singular solution. We show in a number of examples that this solution coincides with the classical string solution with the same quantum numbers but written in a different two-dimensional coordinate system. The marginality condition imposed on an operator yields a relation between the energy and the other quantum numbers which is shown to coincide with that of the corresponding classical string solution. We also argue that in some cases vertex operators in AdS_5 x S^5 cannot be given by expressions similar to the ones in flat space and a more involved consideration is required. |
2307.08307 | Mohammad Javad Vasli | M. J. Vasli, K. Babaei Velni, M. R. Mohammadi Mozaffar, A. Mollabashi,
M. Alishahiha | Krylov Complexity in Lifshitz-type Scalar Field Theories | 26 pages, 12 figures; v2:minor improvements, matches published
version | Eur. Phys. J. C 84 (2024), 235 | 10.1140/epjc/s10052-024-12609-9 | IPM/P-2023/53 | hep-th cond-mat.stat-mech quant-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate various aspects of the Lanczos coefficients in a family of
free Lifshitz scalar theories, characterized by their integer dynamical
exponent, at finite temperature. In this non-relativistic setup, we examine the
effects of mass, finite ultraviolet cutoff, and finite lattice spacing on the
behavior of the Lanczos coefficients. We also investigate the effect of the
dynamical exponent on the asymptotic behavior of the Lanczos coefficients,
which show a universal scaling behavior. We carefully examine how these results
can affect different measures in Krylov space, including Krylov complexity and
entropy. Remarkably, we find that our results are similar to those previously
observed in the literature for relativistic theories.
| [
{
"created": "Mon, 17 Jul 2023 08:05:11 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Mar 2024 16:40:30 GMT",
"version": "v2"
}
] | 2024-03-12 | [
[
"Vasli",
"M. J.",
""
],
[
"Velni",
"K. Babaei",
""
],
[
"Mozaffar",
"M. R. Mohammadi",
""
],
[
"Mollabashi",
"A.",
""
],
[
"Alishahiha",
"M.",
""
]
] | We investigate various aspects of the Lanczos coefficients in a family of free Lifshitz scalar theories, characterized by their integer dynamical exponent, at finite temperature. In this non-relativistic setup, we examine the effects of mass, finite ultraviolet cutoff, and finite lattice spacing on the behavior of the Lanczos coefficients. We also investigate the effect of the dynamical exponent on the asymptotic behavior of the Lanczos coefficients, which show a universal scaling behavior. We carefully examine how these results can affect different measures in Krylov space, including Krylov complexity and entropy. Remarkably, we find that our results are similar to those previously observed in the literature for relativistic theories. |
0805.0379 | M. Bertin C. | M. C. Bertin, B. M. Pimentel, C. E. Valc\'arcel | Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism | 12 pages | Annals Phys.323:3137-3149,2008 | 10.1016/j.aop.2008.09.002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we discuss the natural appearance of the Generalized Brackets in
systems with non-involutive (equivalent to second class) constraints in the
Hamilton-Jacobi formalism. We show how a consistent geometric interpretation of
the integrability conditions leads to the reduction of degrees of freedom of
these systems and, as consequence, naturally defines a dynamics in a reduced
phase space.
| [
{
"created": "Mon, 5 May 2008 18:21:04 GMT",
"version": "v1"
}
] | 2009-12-07 | [
[
"Bertin",
"M. C.",
""
],
[
"Pimentel",
"B. M.",
""
],
[
"Valcárcel",
"C. E.",
""
]
] | In this work we discuss the natural appearance of the Generalized Brackets in systems with non-involutive (equivalent to second class) constraints in the Hamilton-Jacobi formalism. We show how a consistent geometric interpretation of the integrability conditions leads to the reduction of degrees of freedom of these systems and, as consequence, naturally defines a dynamics in a reduced phase space. |
hep-th/9705029 | H. L. Verlinde | H. Verlinde | A Matrix String Interpretation of the Large N Loop Equation | 11 pages, latex, no figures, some equations corrected | null | null | UTFA-97/16 | hep-th | null | The existence two S-dual descriptions of (N,1) string bound states suggests
that the strong coupling behaviour of electric flux lines in large N 2D SYM
theory has a dual description in terms of weakly coupled IIB string theory. In
support of this identification, we propose a dual interpretation of the SYM
loop equation as a perturbative string Ward identity, expressing the conformal
invariance of the corresponding boundary interaction. This correspondence can
be viewed as a weak coupling check of the matrix string conjecture.
| [
{
"created": "Mon, 5 May 1997 22:46:11 GMT",
"version": "v1"
},
{
"created": "Mon, 12 May 1997 16:08:42 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Jun 2000 22:35:47 GMT",
"version": "v3"
},
{
"created": "Fri, 9 Jun 2000 16:07:33 GMT",
"version": "v4"
}
] | 2008-02-03 | [
[
"Verlinde",
"H.",
""
]
] | The existence two S-dual descriptions of (N,1) string bound states suggests that the strong coupling behaviour of electric flux lines in large N 2D SYM theory has a dual description in terms of weakly coupled IIB string theory. In support of this identification, we propose a dual interpretation of the SYM loop equation as a perturbative string Ward identity, expressing the conformal invariance of the corresponding boundary interaction. This correspondence can be viewed as a weak coupling check of the matrix string conjecture. |
hep-th/9210160 | David Gershon | David Gershon | Coset Models Obtained by Twisting WZW Models and Stringy Charged Black
Holes in Four Dimensions | 22 pages | Phys.Rev. D49 (1994) 999-1006 | 10.1103/PhysRevD.49.999 | null | hep-th | null | We show that several WZW coset models can be obtained by applying O(d,d)
symmetry transformations (referred to as twisting) on WZW models. This leads to
a conjecture that WZW models gauged by U(1)^n subgroup can be obtained by
twisting (ungauged) WZW models. In addition, a class of solutions that describe
charged black holes in four dimensions is derived by twisting SL(2,R)\times
SU(2) WZW.
| [
{
"created": "Sat, 31 Oct 1992 00:52:12 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 1992 01:55:59 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Gershon",
"David",
""
]
] | We show that several WZW coset models can be obtained by applying O(d,d) symmetry transformations (referred to as twisting) on WZW models. This leads to a conjecture that WZW models gauged by U(1)^n subgroup can be obtained by twisting (ungauged) WZW models. In addition, a class of solutions that describe charged black holes in four dimensions is derived by twisting SL(2,R)\times SU(2) WZW. |
hep-th/0512138 | Kevin Goldstein | Kevin Goldstein, Rudra P. Jena, Gautam Mandal, Sandip P. Trivedi | A C-Function For Non-Supersymmetric Attractors | References added | JHEP0602:053,2006 | 10.1088/1126-6708/2006/02/053 | TIFR/TH/05-47 | hep-th | null | We present a c-function for spherically symmetric, static and asymptotically
flat solutions in theories of four-dimensional gravity coupled to gauge fields
and moduli. The c-function is valid for both extremal and non-extremal black
holes. It monotonically decreases from infinity and in the static region
acquires its minimum value at the horizon, where it equals the entropy of the
black hole. Higher dimensional cases, involving $p$-form gauge fields, and
other generalisations are also discussed.
| [
{
"created": "Tue, 13 Dec 2005 10:23:24 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Jan 2006 13:34:37 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Goldstein",
"Kevin",
""
],
[
"Jena",
"Rudra P.",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We present a c-function for spherically symmetric, static and asymptotically flat solutions in theories of four-dimensional gravity coupled to gauge fields and moduli. The c-function is valid for both extremal and non-extremal black holes. It monotonically decreases from infinity and in the static region acquires its minimum value at the horizon, where it equals the entropy of the black hole. Higher dimensional cases, involving $p$-form gauge fields, and other generalisations are also discussed. |
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