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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2305.15948 | Meng-Chwan Tan | Meng-Chwan Tan | Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a
Geometric Langlands Correspondence, and Categorification (String Math 2022
Proceedings) | 16 pp. References updated to match publication version. arXiv admin
note: substantial text overlap with arXiv:2203.17115 | null | null | null | hep-th math.AG math.DG math.GT math.RT | http://creativecommons.org/licenses/by/4.0/ | This is a concise version of the original article in [arXiv:2203.17115] that
will be published in the String Math 2022 Proceedings by the American
Mathematical Society.
| [
{
"created": "Thu, 25 May 2023 11:44:29 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2023 01:34:11 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Feb 2024 03:58:51 GMT",
"version": "v3"
}
] | 2024-02-23 | [
[
"Tan",
"Meng-Chwan",
""
]
] | This is a concise version of the original article in [arXiv:2203.17115] that will be published in the String Math 2022 Proceedings by the American Mathematical Society. |
hep-th/9707230 | Bert Schroer | Bert Schroer (FU-Berlin) | A Course on: "An Algebraic Approach to Nonperturbative Quantum Field
Theory" | null | null | null | null | hep-th | null | The content of this paper is incorporated into hep-th/9805093
| [
{
"created": "Mon, 28 Jul 1997 14:42:18 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 1998 22:26:43 GMT",
"version": "v2"
},
{
"created": "Fri, 15 May 1998 16:38:11 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Schroer",
"Bert",
"",
"FU-Berlin"
]
] | The content of this paper is incorporated into hep-th/9805093 |
1209.5476 | Oswaldo Monteiro Del Cima | O.M. Del Cima | The Jackiw-Pi model: classical theory | In honor of the 70th birthday of Prof. Olivier Piguet. 11 pages | Phys. Lett. B720 (2013) 254-261 | 10.1016/j.physletb.2013.02.016 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The massive even-parity non-Abelian gauge model in three space-time
dimensions proposed by Jackiw and Pi is studied at the tree-level. The
propagators are computed and the spectrum consistency is analyzed, besides, the
symmetries of the model are collected and established through BRS invariance
and Slavnov-Taylor identity. In the Landau gauge, thanks to the antighost
equations and the Slavnov-Taylor identity, two rigid symmetries are identified
by means of Ward identities. It is presented here a promising path for
perturbatively quantization of the Jackiw-Pi model and a hint concerning its
possible quantum scale invariance is also pointed out.
| [
{
"created": "Tue, 25 Sep 2012 02:41:31 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Mar 2013 21:36:38 GMT",
"version": "v2"
}
] | 2013-03-11 | [
[
"Del Cima",
"O. M.",
""
]
] | The massive even-parity non-Abelian gauge model in three space-time dimensions proposed by Jackiw and Pi is studied at the tree-level. The propagators are computed and the spectrum consistency is analyzed, besides, the symmetries of the model are collected and established through BRS invariance and Slavnov-Taylor identity. In the Landau gauge, thanks to the antighost equations and the Slavnov-Taylor identity, two rigid symmetries are identified by means of Ward identities. It is presented here a promising path for perturbatively quantization of the Jackiw-Pi model and a hint concerning its possible quantum scale invariance is also pointed out. |
1305.0533 | Francesco Benini | Francesco Benini, Richard Eager, Kentaro Hori, Yuji Tachikawa | Elliptic genera of two-dimensional N=2 gauge theories with rank-one
gauge groups | 27 pages, 1 figure; minor modifications to sec. 2.2 and 4.6 | Lett.Math.Phys. 104 (2014) 465-493 | 10.1007/s11005-013-0673-y | IPMU-13-0082, UT-13-17 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the elliptic genera of two-dimensional N=(2,2) and N=(0,2) gauged
linear sigma models via supersymmetric localization, for rank-one gauge groups.
The elliptic genus is expressed as a sum over residues of a meromorphic
function whose argument is the holonomy of the gauge field along both the
spatial and the temporal directions of the torus. We illustrate our formulas by
a few examples including the quintic Calabi-Yau, N=(2,2) SU(2) and O(2) gauge
theories coupled to N fundamental chiral multiplets, and a geometric N=(0,2)
model.
| [
{
"created": "Thu, 2 May 2013 18:45:21 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Aug 2013 12:29:47 GMT",
"version": "v2"
}
] | 2014-03-18 | [
[
"Benini",
"Francesco",
""
],
[
"Eager",
"Richard",
""
],
[
"Hori",
"Kentaro",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | We compute the elliptic genera of two-dimensional N=(2,2) and N=(0,2) gauged linear sigma models via supersymmetric localization, for rank-one gauge groups. The elliptic genus is expressed as a sum over residues of a meromorphic function whose argument is the holonomy of the gauge field along both the spatial and the temporal directions of the torus. We illustrate our formulas by a few examples including the quintic Calabi-Yau, N=(2,2) SU(2) and O(2) gauge theories coupled to N fundamental chiral multiplets, and a geometric N=(0,2) model. |
1412.1715 | Krzysztof A. Meissner | Krzysztof A. Meissner and Hermann Nicolai | Standard Model Fermions and N=8 supergravity | 4 pages, references and minor clarifications added | Phys. Rev. D 91, 065029 (2015) | 10.1103/PhysRevD.91.065029 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a scheme originally proposed by M. Gell-Mann, and subsequently shown to be
realized at the SU(3)xU(1) stationary point of maximal gauged SO(8)
supergravity by N. Warner and one of the present authors, the 48 spin 1/2
fermions of the theory remaining after the removal of eight Goldstinos can be
identified with the 48 quarks and leptons (including right-chiral neutrinos) of
the Standard Model, provided one identifies the residual SU(3) with the
diagonal subgroup of the color group SU(3)_c and a family symmetry SU(3)_f.
However, there remained a systematic mismatch in the electric charges by a
spurion charge of $\pm$1/6. We here identify the `missing' U(1) that rectifies
this mismatch, and that takes a surprisingly simple, though unexpected form.
| [
{
"created": "Thu, 4 Dec 2014 16:17:15 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Feb 2015 16:21:41 GMT",
"version": "v2"
}
] | 2015-04-01 | [
[
"Meissner",
"Krzysztof A.",
""
],
[
"Nicolai",
"Hermann",
""
]
] | In a scheme originally proposed by M. Gell-Mann, and subsequently shown to be realized at the SU(3)xU(1) stationary point of maximal gauged SO(8) supergravity by N. Warner and one of the present authors, the 48 spin 1/2 fermions of the theory remaining after the removal of eight Goldstinos can be identified with the 48 quarks and leptons (including right-chiral neutrinos) of the Standard Model, provided one identifies the residual SU(3) with the diagonal subgroup of the color group SU(3)_c and a family symmetry SU(3)_f. However, there remained a systematic mismatch in the electric charges by a spurion charge of $\pm$1/6. We here identify the `missing' U(1) that rectifies this mismatch, and that takes a surprisingly simple, though unexpected form. |
1506.09119 | S. Weinzierl | Stefan Weinzierl | Hopf algebras and Dyson-Schwinger equations | 32 pages, lectures given at the workshop "Dyson-Schwinger Equations
in Modern Physics and Mathematics", Trento, September 2014, v3: version to be
published | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In these lectures I discuss Hopf algebras and Dyson-Schwinger equations. The
lectures start with an introduction to Hopf algebras, followed by a review
where Hopf algebras occur in particles physics. The final part of these
lectures is devoted to the relation between Hopf algebras and Dyson-Schwinger
equations.
| [
{
"created": "Tue, 30 Jun 2015 15:32:05 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jan 2016 19:44:16 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jan 2016 14:09:28 GMT",
"version": "v3"
}
] | 2016-01-29 | [
[
"Weinzierl",
"Stefan",
""
]
] | In these lectures I discuss Hopf algebras and Dyson-Schwinger equations. The lectures start with an introduction to Hopf algebras, followed by a review where Hopf algebras occur in particles physics. The final part of these lectures is devoted to the relation between Hopf algebras and Dyson-Schwinger equations. |
hep-th/9206106 | Michel Talon | M. Dubois-Violette, M. Henneaux, M. Talon, CM. Viallet | General Solution of the Consistency Equation | 11 pages, Latex file, PAR-LPTHE 92/19 | Phys.Lett. B289 (1992) 361-367 | 10.1016/0370-2693(92)91232-X | null | hep-th | null | We produce the general solution of the Wess-Zumino consistency condition for
gauge theories of the Yang-mills type, for any ghost number and form degree. We
resolve the problem of the cohomological independence of these solutions. In
other words we fully describe the local version of the cohomology of the BRS
operator, modulo the differential on space--time. This in particular includes
the presence of external fields and non--trivial topologies of space--time.
| [
{
"created": "Mon, 29 Jun 1992 14:27:33 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Dubois-Violette",
"M.",
""
],
[
"Henneaux",
"M.",
""
],
[
"Talon",
"M.",
""
],
[
"Viallet",
"CM.",
""
]
] | We produce the general solution of the Wess-Zumino consistency condition for gauge theories of the Yang-mills type, for any ghost number and form degree. We resolve the problem of the cohomological independence of these solutions. In other words we fully describe the local version of the cohomology of the BRS operator, modulo the differential on space--time. This in particular includes the presence of external fields and non--trivial topologies of space--time. |
hep-th/9507091 | Ahmed Azhari | A. Azhari and T.T. Truong | On the Sutherland's Integrability Condition for Two-Dimensional
N-Particle Systems | 13 pages,uses LATeX2e and epsf. File prepared using the uufiles
package | null | null | LMPM-95-AT,CERGY-95-AT | hep-th | null | Following Sutherland's work on one-dimensional integrable systems we
formulate and study its two-dimensional version. Physically it expresses the
absence of true 3-body forces among an assembly of N particles leaving
exclusively effective 2-body interactions. This criterion may be a suitable
candidate for an integrability condition.
| [
{
"created": "Tue, 18 Jul 1995 13:03:23 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Azhari",
"A.",
""
],
[
"Truong",
"T. T.",
""
]
] | Following Sutherland's work on one-dimensional integrable systems we formulate and study its two-dimensional version. Physically it expresses the absence of true 3-body forces among an assembly of N particles leaving exclusively effective 2-body interactions. This criterion may be a suitable candidate for an integrability condition. |
hep-th/0503101 | Hiroshi Umetsu | Satoshi Iso, Fumihiko Sugino, Hidenori Terachi and Hiroshi Umetsu | Fermionic Backgrounds and Condensation of Supergravity Fields in IIB
Matrix Model | 32 pages, Latex; discussion clarified. version to appear in Phys.
Rev. D | Phys.Rev. D72 (2005) 066001 | 10.1103/PhysRevD.72.066001 | KEK-TH-1006, OIQP-05-01 | hep-th | null | In a previous paper hep-th/0410182 we constructed wave functions and vertex
operators for massless supergravity fields in type IIB matrix model by
expanding supersymmetric Wilson line operators. In this paper we consider
fermionic backgrounds and condensation of supergravity fields in IIB matrix
model by using these wave functions. We start from the type IIB matrix model in
a flat background whose matrix size is $(N+1) \times (N+1)$, or equivalently
the effective action for $(N+1)$ D-instantons. We then calculate an effective
action for $N$ D-instantons by integrating out one D-instanton (which we call a
mean-field D-instanton) with an appropriate wave function and show that various
terms can be induced corresponding to the choice of the wave functions. In
particular, a Chern-Simons-like term is induced when the mean-field D-instanton
has a wave function of the antisymmetric tensor field. A fuzzy sphere becomes a
classical solution to the equation of motion for the effective action.
We also give an interpretation of the above wave functions from the string
theory side as overlaps of the D-instanton boundary state with closed string
massless states in the Green-Schwarz formalism.
| [
{
"created": "Fri, 11 Mar 2005 12:02:56 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2005 00:18:29 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Iso",
"Satoshi",
""
],
[
"Sugino",
"Fumihiko",
""
],
[
"Terachi",
"Hidenori",
""
],
[
"Umetsu",
"Hiroshi",
""
]
] | In a previous paper hep-th/0410182 we constructed wave functions and vertex operators for massless supergravity fields in type IIB matrix model by expanding supersymmetric Wilson line operators. In this paper we consider fermionic backgrounds and condensation of supergravity fields in IIB matrix model by using these wave functions. We start from the type IIB matrix model in a flat background whose matrix size is $(N+1) \times (N+1)$, or equivalently the effective action for $(N+1)$ D-instantons. We then calculate an effective action for $N$ D-instantons by integrating out one D-instanton (which we call a mean-field D-instanton) with an appropriate wave function and show that various terms can be induced corresponding to the choice of the wave functions. In particular, a Chern-Simons-like term is induced when the mean-field D-instanton has a wave function of the antisymmetric tensor field. A fuzzy sphere becomes a classical solution to the equation of motion for the effective action. We also give an interpretation of the above wave functions from the string theory side as overlaps of the D-instanton boundary state with closed string massless states in the Green-Schwarz formalism. |
hep-th/0605195 | Albrecht Klemm | Min-xin Huang and Albrecht Klemm | Holomorphic Anomaly in Gauge Theories and Matrix Models | 34 pages, 2 eps figures, expansion at the monopole point corrected
and interpreted, and references added | JHEP0709:054,2007 | 10.1088/1126-6708/2007/09/054 | null | hep-th | null | We use the holomorphic anomaly equation to solve the gravitational
corrections to Seiberg-Witten theory and a two-cut matrix model, which is
related by the Dijkgraaf-Vafa conjecture to the topological B-model on a local
Calabi-Yau manifold. In both cases we construct propagators that give a
recursive solution in the genus modulo a holomorphic ambiguity. In the case of
Seiberg-Witten theory the gravitational corrections can be expressed in closed
form as quasimodular functions of Gamma(2). In the matrix model we fix the
holomorphic ambiguity up to genus two. The latter result establishes the
Dijkgraaf-Vafa conjecture at that genus and yields a new method for solving the
matrix model at fixed genus in closed form in terms of generalized
hypergeometric functions.
| [
{
"created": "Fri, 19 May 2006 17:52:46 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2006 17:03:56 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Huang",
"Min-xin",
""
],
[
"Klemm",
"Albrecht",
""
]
] | We use the holomorphic anomaly equation to solve the gravitational corrections to Seiberg-Witten theory and a two-cut matrix model, which is related by the Dijkgraaf-Vafa conjecture to the topological B-model on a local Calabi-Yau manifold. In both cases we construct propagators that give a recursive solution in the genus modulo a holomorphic ambiguity. In the case of Seiberg-Witten theory the gravitational corrections can be expressed in closed form as quasimodular functions of Gamma(2). In the matrix model we fix the holomorphic ambiguity up to genus two. The latter result establishes the Dijkgraaf-Vafa conjecture at that genus and yields a new method for solving the matrix model at fixed genus in closed form in terms of generalized hypergeometric functions. |
1207.1924 | Andrei Belitsky | A. V. Belitsky | A note on two-loop superloop | 14 pages, 3 figures | null | 10.1016/j.physletb.2012.10.018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the duality between supersymmetric Wilson loop on null polygonal
contours in maximally supersymmetric Yang-Mills theory and next-to-maximal
helicity violating (NMHV) scattering amplitudes. Earlier analyses demonstrated
that the use of a dimensional regulator for ultraviolet divergences, induced
due to presence of the cusps on the loop, yields anomalies that break both
conformal symmetry and supersymmetry. At one-loop order, these are present only
in Grassmann components localized in the vicinity of a single cusp and result
in a universal function for any number of sites of the polygon that can be
subtracted away in a systematic manner leaving a well-defined supersymmetric
remainder dual to corresponding components of the superamplitude. The question
remains though whether components which were free from the aforementioned
supersymmetric anomaly at leading order of perturbation theory remain so once
computed at higher orders. Presently we verify this fact by calculating a
particular component of the null polygonal super Wilson loop at two loops
restricting the contour kinematics to a two-dimensional subspace. This allows
one to perform all computations in a concise analytical form and trace the
pattern of cancellations between individual Feynman graphs in a transparent
fashion. As a consequence of our consideration we obtain a dual conformally
invariant result for the remainder function in agreement with one-loop NMHV
amplitudes.
| [
{
"created": "Sun, 8 Jul 2012 23:48:09 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Belitsky",
"A. V.",
""
]
] | We explore the duality between supersymmetric Wilson loop on null polygonal contours in maximally supersymmetric Yang-Mills theory and next-to-maximal helicity violating (NMHV) scattering amplitudes. Earlier analyses demonstrated that the use of a dimensional regulator for ultraviolet divergences, induced due to presence of the cusps on the loop, yields anomalies that break both conformal symmetry and supersymmetry. At one-loop order, these are present only in Grassmann components localized in the vicinity of a single cusp and result in a universal function for any number of sites of the polygon that can be subtracted away in a systematic manner leaving a well-defined supersymmetric remainder dual to corresponding components of the superamplitude. The question remains though whether components which were free from the aforementioned supersymmetric anomaly at leading order of perturbation theory remain so once computed at higher orders. Presently we verify this fact by calculating a particular component of the null polygonal super Wilson loop at two loops restricting the contour kinematics to a two-dimensional subspace. This allows one to perform all computations in a concise analytical form and trace the pattern of cancellations between individual Feynman graphs in a transparent fashion. As a consequence of our consideration we obtain a dual conformally invariant result for the remainder function in agreement with one-loop NMHV amplitudes. |
hep-th/0302109 | Hirosi Ooguri | Hirosi Ooguri and Cumrun Vafa | The C-Deformation of Gluino and Non-planar Diagrams | 32 pages, 4 figures; References added. The definition of the
C-deformation clarified | Adv.Theor.Math.Phys.7:53-85,2003 | null | CALT-68-2428, HUTP-03/A014 | hep-th | null | We consider a deformation of N=1 supersymmetric gauge theories in four
dimensions, which we call the C-deformation, where the gluino field satisfies a
Clifford-like algebra dictated by a self-dual two-form, instead of the standard
Grassmannian algebra. The superpotential of the deformed gauge theory is
computed by the full partition function of an associated matrix model (or more
generally a bosonic gauge theory), including non-planar diagrams. In this
identification, the strength of the two-form controls the genus expansion of
the matrix model partition function. For the case of pure N=1 Yang-Mills this
deformation leads to the identification of the all genus partition function of
c=1 non-critical bosonic string at self-dual radius as the glueball
superpotential. Though the C-deformation violates Lorentz invariance, the
deformed F-terms are Lorentz invariant and the Lorentz violation is screened in
the IR.
| [
{
"created": "Fri, 14 Feb 2003 20:30:22 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Feb 2003 22:51:38 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Ooguri",
"Hirosi",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We consider a deformation of N=1 supersymmetric gauge theories in four dimensions, which we call the C-deformation, where the gluino field satisfies a Clifford-like algebra dictated by a self-dual two-form, instead of the standard Grassmannian algebra. The superpotential of the deformed gauge theory is computed by the full partition function of an associated matrix model (or more generally a bosonic gauge theory), including non-planar diagrams. In this identification, the strength of the two-form controls the genus expansion of the matrix model partition function. For the case of pure N=1 Yang-Mills this deformation leads to the identification of the all genus partition function of c=1 non-critical bosonic string at self-dual radius as the glueball superpotential. Though the C-deformation violates Lorentz invariance, the deformed F-terms are Lorentz invariant and the Lorentz violation is screened in the IR. |
hep-th/9508030 | null | I. P. Ennes, J. M. Isidro, A. V. Ramallo | The BRST Symmetry of Affine Lie Superalgebras and Non-Critical Strings | 26 pages, phyzzx, no figures | Int.J.Mod.Phys.A11:2379-2402,1996 | 10.1142/S0217751X9600119X | US-FT-20/95 | hep-th | null | The topological field theories associated with affine Lie superalgebras are
constructed. Their BRST symmetry is characterised by a Kazama algebra
containing spin 1, 2 and 3 operators and closes linearly. Under this symmetry
all operators are grouped into BRST doublets. The relation between the models
constructed and non-critical string theories is explored.
| [
{
"created": "Mon, 7 Aug 1995 04:58:06 GMT",
"version": "v1"
}
] | 2011-08-12 | [
[
"Ennes",
"I. P.",
""
],
[
"Isidro",
"J. M.",
""
],
[
"Ramallo",
"A. V.",
""
]
] | The topological field theories associated with affine Lie superalgebras are constructed. Their BRST symmetry is characterised by a Kazama algebra containing spin 1, 2 and 3 operators and closes linearly. Under this symmetry all operators are grouped into BRST doublets. The relation between the models constructed and non-critical string theories is explored. |
hep-th/9404012 | Krzysztof Gawedzki | Krzysztof Gawedzki | Coulomb Gas Representation of the SU(2) WZW Correlators at Higher Genera | 9 pages, latex | Lett.Math.Phys. 33 (1995) 335-345 | 10.1007/BF00749687 | null | hep-th | null | We express the correlation functions of the SU(2) WZW conformal field theory
on Riemann surfaces of genus >1 by finite dimensional integrals.
| [
{
"created": "Mon, 4 Apr 1994 14:23:50 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Gawedzki",
"Krzysztof",
""
]
] | We express the correlation functions of the SU(2) WZW conformal field theory on Riemann surfaces of genus >1 by finite dimensional integrals. |
hep-th/9608085 | Paulina Rychenkova | G.W.Gibbons and P.Rychenkova | HyperK\"{a}hler Quotient Construction of BPS Monopole Moduli Spaces | 19 pages, LaTeX2e, uses amsfonts and amsbsy packages | Commun.Math.Phys.186:585-599,1997 | 10.1007/s002200050121 | DAMTP/R-38-96 | hep-th gr-qc | null | We use the HyperK\"{a}hler quotient of flat space to obtain some monopole
moduli space metrics in explicit form. Using this new description, we discuss
their topology, completeness and isometries. We construct the moduli space
metrics in the limit when some monopoles become massless, which corresponds to
non-maximal symmetry breaking of the gauge group. We also introduce a new
family of HyperK"{a}hler metrics which, depending on the ``mass parameter''
being positive or negative, give rise to either the asymptotic metric on the
moduli space of many SU(2) monopoles, or to previously unknown metrics. These
new metrics are complete if one carries out the quotient of a non-zero level
set of the moment map, but develop singularities when the zero-set is
considered. These latter metrics are of relevance to the moduli spaces of vacua
of three dimensional gauge theories for higher rank gauge groups. Finally, we
make a few comments concerning the existence of closed or bound orbits on some
of these manifolds and the integrability of the geodesic flow.
| [
{
"created": "Tue, 13 Aug 1996 18:42:17 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gibbons",
"G. W.",
""
],
[
"Rychenkova",
"P.",
""
]
] | We use the HyperK\"{a}hler quotient of flat space to obtain some monopole moduli space metrics in explicit form. Using this new description, we discuss their topology, completeness and isometries. We construct the moduli space metrics in the limit when some monopoles become massless, which corresponds to non-maximal symmetry breaking of the gauge group. We also introduce a new family of HyperK"{a}hler metrics which, depending on the ``mass parameter'' being positive or negative, give rise to either the asymptotic metric on the moduli space of many SU(2) monopoles, or to previously unknown metrics. These new metrics are complete if one carries out the quotient of a non-zero level set of the moment map, but develop singularities when the zero-set is considered. These latter metrics are of relevance to the moduli spaces of vacua of three dimensional gauge theories for higher rank gauge groups. Finally, we make a few comments concerning the existence of closed or bound orbits on some of these manifolds and the integrability of the geodesic flow. |
1603.08770 | Sa\v{s}o Grozdanov | Sa\v{s}o Grozdanov and Napat Poovuttikul | Universality of anomalous conductivities in theories with
higher-derivative holographic duals | V2: 29 pages, 1 figure, version published in JHEP | JHEP 1609 (2016) 046 | 10.1007/JHEP09(2016)046 | null | hep-th cond-mat.str-el hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Anomalous chiral conductivities in theories with global anomalies are
independent of whether they are computed in a weakly coupled quantum (or
thermal) field theory, hydrodynamics, or at infinite coupling from holography.
While the presence of dynamical gauge fields and mixed, gauge-global anomalies
can destroy this universality, in their absence, the non-renormalisation of
anomalous Ward identities is expected to be obeyed at all intermediate coupling
strengths. In holography, bulk theories with higher-derivative corrections
incorporate coupling constant corrections to the boundary theory observables in
an expansion around infinite coupling. In this work, we investigate the
coupling constant dependence and universality of anomalous conductivities (and
thus of the anomalous Ward identities) in general, four-dimensional systems
that possess asymptotically anti-de Sitter holographic duals with a
non-extremal black brane in five dimensions, and anomalous transport introduced
into the boundary theory via the bulk Chern-Simons action. We show that in bulk
theories with arbitrary gauge- and diffeomorphism-invariant higher-derivative
actions, anomalous conductivities, which can incorporate an infinite series of
(inverse) coupling constant corrections, remain universal. Owing to the
existence of the membrane paradigm, the proof reduces to a construction of bulk
effective theories at the horizon and the boundary. It only requires us to
impose the condition of horizon regularity and correct boundary conditions on
the fields. We also discuss ways to violate the universality by violating
conditions for the validity of the membrane paradigm, in particular, by adding
mass to the vector fields (a case with a mixed, gauge-global anomaly) and in
bulk geometries with a naked singularity.
| [
{
"created": "Tue, 29 Mar 2016 13:43:35 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2016 10:47:13 GMT",
"version": "v2"
}
] | 2016-10-18 | [
[
"Grozdanov",
"Sašo",
""
],
[
"Poovuttikul",
"Napat",
""
]
] | Anomalous chiral conductivities in theories with global anomalies are independent of whether they are computed in a weakly coupled quantum (or thermal) field theory, hydrodynamics, or at infinite coupling from holography. While the presence of dynamical gauge fields and mixed, gauge-global anomalies can destroy this universality, in their absence, the non-renormalisation of anomalous Ward identities is expected to be obeyed at all intermediate coupling strengths. In holography, bulk theories with higher-derivative corrections incorporate coupling constant corrections to the boundary theory observables in an expansion around infinite coupling. In this work, we investigate the coupling constant dependence and universality of anomalous conductivities (and thus of the anomalous Ward identities) in general, four-dimensional systems that possess asymptotically anti-de Sitter holographic duals with a non-extremal black brane in five dimensions, and anomalous transport introduced into the boundary theory via the bulk Chern-Simons action. We show that in bulk theories with arbitrary gauge- and diffeomorphism-invariant higher-derivative actions, anomalous conductivities, which can incorporate an infinite series of (inverse) coupling constant corrections, remain universal. Owing to the existence of the membrane paradigm, the proof reduces to a construction of bulk effective theories at the horizon and the boundary. It only requires us to impose the condition of horizon regularity and correct boundary conditions on the fields. We also discuss ways to violate the universality by violating conditions for the validity of the membrane paradigm, in particular, by adding mass to the vector fields (a case with a mixed, gauge-global anomaly) and in bulk geometries with a naked singularity. |
hep-th/0112080 | Raphael Bousso | Raphael Bousso and Lisa Randall | Holographic Domains of Anti-de Sitter Space | 29 pages, 6 figures | JHEP 0204:057,2002 | 10.1088/1126-6708/2002/04/057 | NSF-ITP-01-167, HUTP-01/A062 | hep-th | null | An AdS_4 brane embedded in AdS_5 exhibits the novel feature that a
four-dimensional graviton is localized near the brane, but the majority of the
infinite bulk away from the brane where the warp factor diverges does not see
four-dimensional gravity. A naive application of the holographic principle from
the point of view of the four-dimensional observer would lead to a paradox; a
global holographic mapping would require infinite entropy density. In this
paper, we show that this paradox is resolved by the proper covariant
formulation of the holographic principle. This is the first explicit example of
a time-independent metric for which the spacelike formulation of the
holographic principle is manifestly inadequate. Further confirmation of the
correctness of this approach is that light-rays leaving the brane intersect at
the location where we expect four-dimensional gravity to no longer dominate. We
also present a simple method of locating CFT excitations dual to a particle in
the bulk. We find that the holographic image on the brane moves off to infinity
precisely when the particle exits the brane's holographic domain. Our analysis
yields an improved understanding of the physics of the AdS_4/AdS_5 model.
| [
{
"created": "Mon, 10 Dec 2001 23:30:39 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Bousso",
"Raphael",
""
],
[
"Randall",
"Lisa",
""
]
] | An AdS_4 brane embedded in AdS_5 exhibits the novel feature that a four-dimensional graviton is localized near the brane, but the majority of the infinite bulk away from the brane where the warp factor diverges does not see four-dimensional gravity. A naive application of the holographic principle from the point of view of the four-dimensional observer would lead to a paradox; a global holographic mapping would require infinite entropy density. In this paper, we show that this paradox is resolved by the proper covariant formulation of the holographic principle. This is the first explicit example of a time-independent metric for which the spacelike formulation of the holographic principle is manifestly inadequate. Further confirmation of the correctness of this approach is that light-rays leaving the brane intersect at the location where we expect four-dimensional gravity to no longer dominate. We also present a simple method of locating CFT excitations dual to a particle in the bulk. We find that the holographic image on the brane moves off to infinity precisely when the particle exits the brane's holographic domain. Our analysis yields an improved understanding of the physics of the AdS_4/AdS_5 model. |
hep-th/0507245 | Tony Gherghetta | Tony Gherghetta, Marco Peloso and Erich Poppitz | Emergent Gravity from a Mass Deformation in Warped Spacetime | 44 pages, 3 figures | Phys.Rev. D72 (2005) 104003 | 10.1103/PhysRevD.72.104003 | UMN-TH-2408/05 | hep-th gr-qc hep-ph | null | We consider a deformation of five-dimensional warped gravity with bulk and
boundary mass terms to quadratic order in the action. We show that massless
zero modes occur for special choices of the masses. The tensor zero mode is a
smooth deformation of the Randall-Sundrum graviton wavefunction and can be
localized anywhere in the bulk. There is also a vector zero mode with similar
localization properties, which is decoupled from conserved sources at tree
level. Interestingly, there are no scalar modes, and the model is ghost-free at
the linearized level. When the tensor zero mode is localized near the IR brane,
the dual interpretation is a composite graviton describing an emergent
(induced) theory of gravity at the IR scale. In this case Newton's law of
gravity changes to a new power law below the millimeter scale, with an exponent
that can even be irrational.
| [
{
"created": "Mon, 25 Jul 2005 21:46:45 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Gherghetta",
"Tony",
""
],
[
"Peloso",
"Marco",
""
],
[
"Poppitz",
"Erich",
""
]
] | We consider a deformation of five-dimensional warped gravity with bulk and boundary mass terms to quadratic order in the action. We show that massless zero modes occur for special choices of the masses. The tensor zero mode is a smooth deformation of the Randall-Sundrum graviton wavefunction and can be localized anywhere in the bulk. There is also a vector zero mode with similar localization properties, which is decoupled from conserved sources at tree level. Interestingly, there are no scalar modes, and the model is ghost-free at the linearized level. When the tensor zero mode is localized near the IR brane, the dual interpretation is a composite graviton describing an emergent (induced) theory of gravity at the IR scale. In this case Newton's law of gravity changes to a new power law below the millimeter scale, with an exponent that can even be irrational. |
1311.0718 | Xiao-Xiong Zeng | Xiao-Xiong Zeng, Xian-Ming Liu, Wen-Biao Liu | Holographic thermalization with a chemical potential in Gauss-Bonnet
gravity | 23 pages, many figures,footnote 4 is modified. arXiv admin note:
substantial text overlap with arXiv:1305.4841 | JHEP, 03, 031, (2014) | 10.1007/JHEP03(2014)031 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Holographic thermalization is studied in the framework of
Einstein-Maxwell-Gauss-Bonnet gravity. We use the two-point correlation
function and expectation value of Wilson loop, which are dual to the
renormalized geodesic length and minimal area surface in the bulk, to probe the
thermalization. The numeric result shows that larger the Gauss-Bonnet
coefficient is, shorter the thermalization time is, and larger the charge is,
longer the thermalization time is, which implies that the Gauss-Bonnet
coefficient can accelerate the thermalization while the charge has an opposite
effect. In addition, we obtain the functions with respect to the thermalization
time for both the thermalization probes at a fixed charge and Gauss-Bonnet
coefficient, and on the basis of these functions, we obtain the thermalization
velocity, which shows that the thermalization process is non-monotonic. At the
middle and later periods of the thermalization process, we find that there is a
phase transition point, which divides the thermalization into an acceleration
phase and a deceleration phase. We also study the effect of the charge and
Gauss-Bonnet coefficient on the phase transition point.
| [
{
"created": "Mon, 4 Nov 2013 14:54:04 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Dec 2013 14:48:09 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Feb 2014 02:45:12 GMT",
"version": "v3"
}
] | 2015-06-17 | [
[
"Zeng",
"Xiao-Xiong",
""
],
[
"Liu",
"Xian-Ming",
""
],
[
"Liu",
"Wen-Biao",
""
]
] | Holographic thermalization is studied in the framework of Einstein-Maxwell-Gauss-Bonnet gravity. We use the two-point correlation function and expectation value of Wilson loop, which are dual to the renormalized geodesic length and minimal area surface in the bulk, to probe the thermalization. The numeric result shows that larger the Gauss-Bonnet coefficient is, shorter the thermalization time is, and larger the charge is, longer the thermalization time is, which implies that the Gauss-Bonnet coefficient can accelerate the thermalization while the charge has an opposite effect. In addition, we obtain the functions with respect to the thermalization time for both the thermalization probes at a fixed charge and Gauss-Bonnet coefficient, and on the basis of these functions, we obtain the thermalization velocity, which shows that the thermalization process is non-monotonic. At the middle and later periods of the thermalization process, we find that there is a phase transition point, which divides the thermalization into an acceleration phase and a deceleration phase. We also study the effect of the charge and Gauss-Bonnet coefficient on the phase transition point. |
0704.1015 | Noriaki Ikeda | Noriaki Ikeda and Tatsuya Tokunaga | An Alternative Topological Field Theory of Generalized Complex Geometry | 29 pages, typos and references corrected | JHEP0709:009,2007 | 10.1088/1126-6708/2007/09/009 | null | hep-th math.DG | null | We propose a new topological field theory on generalized complex geometry in
two dimension using AKSZ formulation. Zucchini's model is $A$ model in the case
that the generalized complex structuredepends on only a symplectic structure.
Our new model is $B$ model in the case that the generalized complex structure
depends on only a complex structure.
| [
{
"created": "Sun, 8 Apr 2007 06:09:52 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jun 2007 09:56:37 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Aug 2007 15:17:09 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Ikeda",
"Noriaki",
""
],
[
"Tokunaga",
"Tatsuya",
""
]
] | We propose a new topological field theory on generalized complex geometry in two dimension using AKSZ formulation. Zucchini's model is $A$ model in the case that the generalized complex structuredepends on only a symplectic structure. Our new model is $B$ model in the case that the generalized complex structure depends on only a complex structure. |
hep-th/9405113 | null | I.A. Bandos and A.A. Zheltukhin | N=1 SUPER-P-BRANES in twistor-like Lorentz harmonic formulation | (revized: minor changes, which was nesessary because previous version
cannot be read LATEX byond Padova University), 24 pages, LATEX ,
DEPD/94/TH/35 | Class.Quant.Grav.12:609-626,1995 | 10.1088/0264-9381/12/3/002 | null | hep-th | null | Unique twistor--like Lorentz harmonic formulation for all N=1 supersymmetric
extended objects (super-p-branes) moving in the space--time of arbitrary
dimension D (admissible for given $p$) are suggested. The equations of motion
are derived, explicit form of the \kappa-symmetry transformations is presented
and the classical equivalence to the standard formulation is proved.
The cases with minimal world--sheet dimensions $p=1,2$, namely of D=10
heterotic string and D=11 supermembrane, are considered in details. In
particular, the explicit form of irreducible \kappa-symmetry transformations
for D=11 supermembrane is derived.
| [
{
"created": "Wed, 18 May 1994 11:00:47 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 1994 14:21:05 GMT",
"version": "v2"
},
{
"created": "Sat, 21 May 1994 13:16:12 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Bandos",
"I. A.",
""
],
[
"Zheltukhin",
"A. A.",
""
]
] | Unique twistor--like Lorentz harmonic formulation for all N=1 supersymmetric extended objects (super-p-branes) moving in the space--time of arbitrary dimension D (admissible for given $p$) are suggested. The equations of motion are derived, explicit form of the \kappa-symmetry transformations is presented and the classical equivalence to the standard formulation is proved. The cases with minimal world--sheet dimensions $p=1,2$, namely of D=10 heterotic string and D=11 supermembrane, are considered in details. In particular, the explicit form of irreducible \kappa-symmetry transformations for D=11 supermembrane is derived. |
1509.04272 | Yasunori Nomura | Yasunori Nomura, Fabio Sanches, and Sean J. Weinberg | Flat-space Quantum Gravity in AdS/CFT | 31 pages, 2 figures; clarifications added | Phys. Rev. D 93, 064049 (2016) | 10.1103/PhysRevD.93.064049 | UCB-PTH-15/08 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the task of understanding microscopic dynamics of an evolving
black hole, we present a scheme describing gauge-fixed continuous time
evolution of quantum gravitational processes in asymptotically flat spacetime
using the algebra of CFT operators. This allows us to study the microscopic
dynamics of the Hawking emission process, although obtaining a full S-matrix
may require a modification of the minimal scheme. The role of the operator
product expansion is to physically interpret the resulting time evolution by
decomposing the Hilbert space of the states for the entire system into those
for smaller subsystems. We translate the picture of an evaporating black hole
previously proposed by the authors into predictions for nonperturbative
properties of the CFTs that have weakly coupled dual gravitational
descriptions. We also discuss a possible relationship between the present
scheme and a reference frame change in the bulk.
| [
{
"created": "Mon, 14 Sep 2015 20:01:56 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Dec 2015 05:13:16 GMT",
"version": "v2"
}
] | 2016-03-30 | [
[
"Nomura",
"Yasunori",
""
],
[
"Sanches",
"Fabio",
""
],
[
"Weinberg",
"Sean J.",
""
]
] | Motivated by the task of understanding microscopic dynamics of an evolving black hole, we present a scheme describing gauge-fixed continuous time evolution of quantum gravitational processes in asymptotically flat spacetime using the algebra of CFT operators. This allows us to study the microscopic dynamics of the Hawking emission process, although obtaining a full S-matrix may require a modification of the minimal scheme. The role of the operator product expansion is to physically interpret the resulting time evolution by decomposing the Hilbert space of the states for the entire system into those for smaller subsystems. We translate the picture of an evaporating black hole previously proposed by the authors into predictions for nonperturbative properties of the CFTs that have weakly coupled dual gravitational descriptions. We also discuss a possible relationship between the present scheme and a reference frame change in the bulk. |
hep-th/0111190 | Paul de Medeiros | Paul de Medeiros, Jose Figueroa-O'Farrill, Christopher Hull, Bill
Spence | Conformal topological Yang-Mills theory and de Sitter holography | 34 pages, AMSTex, Reference added | JHEP 0208 (2002) 055 | 10.1088/1126-6708/2002/08/055 | QMUL-PH-01-16 | hep-th | null | A new topological conformal field theory in four Euclidean dimensions is
constructed from N=4 super Yang-Mills theory by twisting the whole of the
conformal group with the whole of the R-symmetry group, resulting in a theory
that is conformally invariant and has two conformally invariant BRST operators.
A curved space generalisation is found on any Riemannian 4-fold. This
formulation has local Weyl invariance and two Weyl-invariant BRST symmetries,
with an action and energy-momentum tensor that are BRST-exact. This theory is
expected to have a holographic dual in 5-dimensional de Sitter space.
| [
{
"created": "Wed, 21 Nov 2001 16:53:12 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jan 2002 13:44:51 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"de Medeiros",
"Paul",
""
],
[
"Figueroa-O'Farrill",
"Jose",
""
],
[
"Hull",
"Christopher",
""
],
[
"Spence",
"Bill",
""
]
] | A new topological conformal field theory in four Euclidean dimensions is constructed from N=4 super Yang-Mills theory by twisting the whole of the conformal group with the whole of the R-symmetry group, resulting in a theory that is conformally invariant and has two conformally invariant BRST operators. A curved space generalisation is found on any Riemannian 4-fold. This formulation has local Weyl invariance and two Weyl-invariant BRST symmetries, with an action and energy-momentum tensor that are BRST-exact. This theory is expected to have a holographic dual in 5-dimensional de Sitter space. |
1901.00011 | Enrico Olivucci | Vladimir Kazakov, Enrico Olivucci, Michelangelo Preti | Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT$_4$ | 71 pages, 16 figures, 4 tables. As accepted for publication by JHEP | null | 10.1007/JHEP06(2019)078 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Feynman graph structure and compute certain exact four-point
correlation functions in chiral CFT$_4$ proposed by \"{O}.G\"{u}rdo\u{g}an and
one of the authors as a double scaling limit of $\gamma$-deformed
$\mathcal{N}=4$ SYM theory. We give full description of bulk behavior of large
Feynman graphs: it shows a generalized "dynamical fishnet" structure, with a
dynamical exchange of bosonic and Yukawa couplings. We compute certain
four-point correlators in the full chiral CFT$_4$, generalizing recent results
for a particular one-coupling version of this theory -- the bi-scalar "fishnet"
CFT. We sum up exactly the corresponding Feynman diagrams, including both
bosonic and fermionic loops, by Bethe-Salpeter method. This provides explicit
OPE data for various twist-2 operators with spin, showing a rich analytic
structure, both in coordinate and coupling spaces.
| [
{
"created": "Mon, 31 Dec 2018 19:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jun 2019 08:38:53 GMT",
"version": "v2"
}
] | 2019-07-24 | [
[
"Kazakov",
"Vladimir",
""
],
[
"Olivucci",
"Enrico",
""
],
[
"Preti",
"Michelangelo",
""
]
] | We study the Feynman graph structure and compute certain exact four-point correlation functions in chiral CFT$_4$ proposed by \"{O}.G\"{u}rdo\u{g}an and one of the authors as a double scaling limit of $\gamma$-deformed $\mathcal{N}=4$ SYM theory. We give full description of bulk behavior of large Feynman graphs: it shows a generalized "dynamical fishnet" structure, with a dynamical exchange of bosonic and Yukawa couplings. We compute certain four-point correlators in the full chiral CFT$_4$, generalizing recent results for a particular one-coupling version of this theory -- the bi-scalar "fishnet" CFT. We sum up exactly the corresponding Feynman diagrams, including both bosonic and fermionic loops, by Bethe-Salpeter method. This provides explicit OPE data for various twist-2 operators with spin, showing a rich analytic structure, both in coordinate and coupling spaces. |
2103.02248 | Keita Imaizumi | Keita Imaizumi | Quantum periods and TBA equations for $\mathcal{N}=2\ SU(2)\ N_f=2$ SQCD
with flavor symmetry | 17 pages, 2 figures, (v2) references are added, (v3) typos corrected,
references are added, minor modification, published version | Phys. Lett. B 816 (2021) 136270 | 10.1016/j.physletb.2021.136270 | TIT/HEP-683 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the exact WKB analysis to the quantum Seiberg-Witten curve for
4-dimensional $\mathcal{N} = 2\ SU(2)\ N_f=2$ SQCD with the flavor symmetry.
The discontinuity and the asymptotic behavior of the quantum periods define a
Riemann-Hilbert problem. We derive the thermodynamic Bethe ansatz (TBA)
equations as a solution to this problem. We also compute the effective central
charge of the underlying CFT, which is shown to be proportional to the one-loop
beta function of the SQCD.
| [
{
"created": "Wed, 3 Mar 2021 08:17:32 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2021 08:02:03 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Apr 2021 05:25:55 GMT",
"version": "v3"
}
] | 2021-05-11 | [
[
"Imaizumi",
"Keita",
""
]
] | We apply the exact WKB analysis to the quantum Seiberg-Witten curve for 4-dimensional $\mathcal{N} = 2\ SU(2)\ N_f=2$ SQCD with the flavor symmetry. The discontinuity and the asymptotic behavior of the quantum periods define a Riemann-Hilbert problem. We derive the thermodynamic Bethe ansatz (TBA) equations as a solution to this problem. We also compute the effective central charge of the underlying CFT, which is shown to be proportional to the one-loop beta function of the SQCD. |
1812.09613 | Francesco Benini | Francesco Benini, Elisa Milan | Black holes in 4d $\mathcal{N}=4$ Super-Yang-Mills | 33 pages + appendices, 4 figures; v2: references and clarifications
added; v3: minor changes, conclusions unaltered | Phys. Rev. X 10, 021037 (2020) | 10.1103/PhysRevX.10.021037 | SISSA 56/2018/FISI | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We resolve a long-standing question: does the four-dimensional
$\mathcal{N}=4$ SU(N) Super-Yang-Mills theory on $S^3$ at large N contain
enough states to account for the entropy of rotating electrically-charged BPS
black holes in AdS$_5$? Our answer is positive. We reconsider the large N limit
of the superconformal index, using the Bethe Ansatz formulation, and find an
exponentially large contribution which exactly reproduces the
Bekenstein-Hawking entropy of the black holes of Gutowski-Reall. Besides, the
large N limit exhibits a complicated structure, with many competing exponential
contributions and Stokes lines, hinting at new physics.
| [
{
"created": "Sat, 22 Dec 2018 22:06:19 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jan 2019 19:00:11 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Jun 2019 16:27:23 GMT",
"version": "v3"
}
] | 2022-09-09 | [
[
"Benini",
"Francesco",
""
],
[
"Milan",
"Elisa",
""
]
] | We resolve a long-standing question: does the four-dimensional $\mathcal{N}=4$ SU(N) Super-Yang-Mills theory on $S^3$ at large N contain enough states to account for the entropy of rotating electrically-charged BPS black holes in AdS$_5$? Our answer is positive. We reconsider the large N limit of the superconformal index, using the Bethe Ansatz formulation, and find an exponentially large contribution which exactly reproduces the Bekenstein-Hawking entropy of the black holes of Gutowski-Reall. Besides, the large N limit exhibits a complicated structure, with many competing exponential contributions and Stokes lines, hinting at new physics. |
hep-th/0605219 | Edward Shuryak | Edward Shuryak | Building a "holographic dual" to QCD in the AdS$_5$: instantons and
confinement | null | null | null | null | hep-th | null | Recent attempts to find a ``holographic dual'' to QCD-like theories included
a suggestion by Karsh et al (below referred to as KKSS) to incorporate
confinement via a potential quadratically increasing into the 5-th direction of
the $AdS_5$ space. We show that the same conclusion follows from completely
different line of arguments. If instantons are promoted into the 5d space by
identifying the instanton size $\rho$ at the 5-th coordinate, the background
geometry necessarily should be the AdS$_5$. As I argued already in 1999,
confinement described via ``dual superconductivity'' leads to a factor
$exp(-2\pi\sigma\rho^2)$, where $\sigma$ is a string tension, which is nearly
exactly identical to that suggested by KKSS. This expression is also well
supported by available lattice data. At the end of the paper we propose a IR
potential generalized to the nonzero temperatures.
| [
{
"created": "Mon, 22 May 2006 16:55:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shuryak",
"Edward",
""
]
] | Recent attempts to find a ``holographic dual'' to QCD-like theories included a suggestion by Karsh et al (below referred to as KKSS) to incorporate confinement via a potential quadratically increasing into the 5-th direction of the $AdS_5$ space. We show that the same conclusion follows from completely different line of arguments. If instantons are promoted into the 5d space by identifying the instanton size $\rho$ at the 5-th coordinate, the background geometry necessarily should be the AdS$_5$. As I argued already in 1999, confinement described via ``dual superconductivity'' leads to a factor $exp(-2\pi\sigma\rho^2)$, where $\sigma$ is a string tension, which is nearly exactly identical to that suggested by KKSS. This expression is also well supported by available lattice data. At the end of the paper we propose a IR potential generalized to the nonzero temperatures. |
1904.05914 | Jun Nishimura | Toshihiro Aoki, Mitsuaki Hirasawa, Yuta Ito, Jun Nishimura, Asato
Tsuchiya | On the structure of the emergent 3d expanding space in the Lorentzian
type IIB matrix model | 28 pages, 6 figures; (v2) reference added; (v3) comments on
terminology added | Prog Theor Exp Phys (2019) | 10.1093/ptep/ptz092 | KEK-TH-2110 | hep-th gr-qc hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The emergence of (3+1)-dimensional expanding space-time in the Lorentzian
type IIB matrix model is an intriguing phenomenon which was observed in Monte
Carlo studies of this model. In particular, this may be taken as a support to
the conjecture that the model is a nonperturbative formulation of superstring
theory in (9+1) dimensions. In this paper we investigate the space-time
structure of the matrices generated by simulating this model and its simplified
versions, and find that the expanding part of the space is described
essentially by the Pauli matrices. We argue that this is due to an
approximation used in the simulation to avoid the sign problem, which actually
amounts to replacing $e^{iS_{\rm b}}$ by $e^{\beta S_{\rm b}}$ ($\beta>0$) in
the partition function, where $S_{\rm b}$ is the bosonic part of the action. We
also discuss the possibility of obtaining a regular space-time with the
(3+1)-dimensional expanding behavior in the original model with the correct
$e^{iS_{\rm b}}$ factor.
| [
{
"created": "Thu, 11 Apr 2019 18:24:11 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2019 15:50:03 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jul 2019 09:43:37 GMT",
"version": "v3"
}
] | 2019-10-17 | [
[
"Aoki",
"Toshihiro",
""
],
[
"Hirasawa",
"Mitsuaki",
""
],
[
"Ito",
"Yuta",
""
],
[
"Nishimura",
"Jun",
""
],
[
"Tsuchiya",
"Asato",
""
]
] | The emergence of (3+1)-dimensional expanding space-time in the Lorentzian type IIB matrix model is an intriguing phenomenon which was observed in Monte Carlo studies of this model. In particular, this may be taken as a support to the conjecture that the model is a nonperturbative formulation of superstring theory in (9+1) dimensions. In this paper we investigate the space-time structure of the matrices generated by simulating this model and its simplified versions, and find that the expanding part of the space is described essentially by the Pauli matrices. We argue that this is due to an approximation used in the simulation to avoid the sign problem, which actually amounts to replacing $e^{iS_{\rm b}}$ by $e^{\beta S_{\rm b}}$ ($\beta>0$) in the partition function, where $S_{\rm b}$ is the bosonic part of the action. We also discuss the possibility of obtaining a regular space-time with the (3+1)-dimensional expanding behavior in the original model with the correct $e^{iS_{\rm b}}$ factor. |
2208.05390 | Piero Nicolini | Piero Nicolini | Quantum gravity and the zero point length | 15 pages, 1 figures, invited contribution to the GERG Topical
Collection "In Memory of Professor T. Padmanabhan"; v2: updated version in
press on GERG | Gen Relativ Gravit 54, 106 (2022) | 10.1007/s10714-022-02995-4 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present an overview of some of the existing issues of the
research in quantum gravity. We also introduce the basic ideas that led
Padmanabhan to consider a duality property in path integrals. Such a duality is
consistent with the T-duality in string theory. More importantly, the path
integral duality discloses a universal feature of any quantum geometry, namely
the existence of a zero point length $L_0$. We also comment about recent
developments aiming to expose effects of the zero point length in strong
electrodynamics and black holes. There are reasons to believe that the main
characters of the phenomenology of quantum gravity may be described by means of
a single parameter like $L_0$.
| [
{
"created": "Wed, 10 Aug 2022 15:11:24 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Sep 2022 14:40:18 GMT",
"version": "v2"
}
] | 2022-09-22 | [
[
"Nicolini",
"Piero",
""
]
] | In this paper, we present an overview of some of the existing issues of the research in quantum gravity. We also introduce the basic ideas that led Padmanabhan to consider a duality property in path integrals. Such a duality is consistent with the T-duality in string theory. More importantly, the path integral duality discloses a universal feature of any quantum geometry, namely the existence of a zero point length $L_0$. We also comment about recent developments aiming to expose effects of the zero point length in strong electrodynamics and black holes. There are reasons to believe that the main characters of the phenomenology of quantum gravity may be described by means of a single parameter like $L_0$. |
1402.1532 | James Gray | Lara B. Anderson, James Gray and Eric Sharpe | Algebroids, Heterotic Moduli Spaces and the Strominger System | 33 pages | JHEP 1407 (2014) 037 | 10.1007/JHEP07(2014)037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study compactifications of heterotic string theory on
manifolds satisfying the ddbar-lemma. We consider the Strominger system
description of the low energy supergravity to first order in alpha' and show
that the moduli of such compactifications are subspaces of familiar cohomology
groups such as H^1(TX), H^1(TX*), H^1(End_0(V)) and H^1(End_0(TX)). These
groups encode the complex structure, Kahler moduli, bundle moduli and
perturbations of the spin connection respectively in the case of a Calabi-Yau
compactification. We investigate the fluctuations of only a subset of the
conditions of the Strominger system (expected to correspond physically to
F-term constraints in the effective theory). The full physical moduli space is,
therefore, given by a further restriction on these degrees of freedom which we
discuss but do not explicitly provide. This paper is complementary to a
previous tree-level worldsheet analysis of such moduli and agrees with that
discussion in the limit of vanishing alpha'. The structure we present can be
interpreted in terms of recent work in Atiyah and Courant algebroids, and we
conjecture links with aspects of Hitchin's generalized geometry to heterotic
moduli.
| [
{
"created": "Thu, 6 Feb 2014 23:52:06 GMT",
"version": "v1"
}
] | 2017-12-04 | [
[
"Anderson",
"Lara B.",
""
],
[
"Gray",
"James",
""
],
[
"Sharpe",
"Eric",
""
]
] | In this paper we study compactifications of heterotic string theory on manifolds satisfying the ddbar-lemma. We consider the Strominger system description of the low energy supergravity to first order in alpha' and show that the moduli of such compactifications are subspaces of familiar cohomology groups such as H^1(TX), H^1(TX*), H^1(End_0(V)) and H^1(End_0(TX)). These groups encode the complex structure, Kahler moduli, bundle moduli and perturbations of the spin connection respectively in the case of a Calabi-Yau compactification. We investigate the fluctuations of only a subset of the conditions of the Strominger system (expected to correspond physically to F-term constraints in the effective theory). The full physical moduli space is, therefore, given by a further restriction on these degrees of freedom which we discuss but do not explicitly provide. This paper is complementary to a previous tree-level worldsheet analysis of such moduli and agrees with that discussion in the limit of vanishing alpha'. The structure we present can be interpreted in terms of recent work in Atiyah and Courant algebroids, and we conjecture links with aspects of Hitchin's generalized geometry to heterotic moduli. |
hep-th/9804102 | Vladimir Ivashchuk | V. D. Ivashchuk | On Symmetries of Target Space for Sigma-model of p-brane Origin | 7 pages, Latex. Minor corrections. Submit. to Grav. and Cosmology | Grav.Cosmol. 4 (1998) 217-220 | null | null | hep-th | null | The target space M for the sigma-model appearing in theories with p-branes is
considered. It is proved that M is a homogeneous space G/H. It is symmetric if
and only if the U-vectors governing the sigma-model metric are either
coinciding or mutually orthogonal. For nonzero noncoinciding U-vectors the
Killing equations are solved. Using a block-orthogonal decomposition of the set
of the U-vectors it is shown that under rather general assumptions the algebra
of Killing vectors is a direct sum of several copies of sl(2,R) algebras
(corresponding to 1-vector blocks), several solvable Lie algebras
(corresponding to multivector blocks) and the Killing algebra of a flat space.
The target space manifold is decomposed in a product of a flat space, several
2-dimensional spaces of constant curvature (e.g. Lobachevsky space, part of
anti-de Sitter space) and several solvable Lie group manifolds.
| [
{
"created": "Wed, 15 Apr 1998 13:44:04 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Aug 1998 09:01:00 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ivashchuk",
"V. D.",
""
]
] | The target space M for the sigma-model appearing in theories with p-branes is considered. It is proved that M is a homogeneous space G/H. It is symmetric if and only if the U-vectors governing the sigma-model metric are either coinciding or mutually orthogonal. For nonzero noncoinciding U-vectors the Killing equations are solved. Using a block-orthogonal decomposition of the set of the U-vectors it is shown that under rather general assumptions the algebra of Killing vectors is a direct sum of several copies of sl(2,R) algebras (corresponding to 1-vector blocks), several solvable Lie algebras (corresponding to multivector blocks) and the Killing algebra of a flat space. The target space manifold is decomposed in a product of a flat space, several 2-dimensional spaces of constant curvature (e.g. Lobachevsky space, part of anti-de Sitter space) and several solvable Lie group manifolds. |
hep-th/9510108 | Michel Rausch | N. Fleury and M. Rausch de Traubenberg | Local Fractional Supersymmetry for Alternative Statistics | 15 pages, latex, no figure | Mod.Phys.Lett.A11:899-914,1996 | 10.1142/S0217732396000916 | LPT- Strasbourg 95-20 | hep-th | null | A group theory justification of one dimensional fractional supersymmetry is
proposed using an analogue of a coset space, just like the one introduced in
$1D$ supersymmetry. This theory is then gauged to obtain a local fractional
supersymmetry {\it i.e.} a fractional supergravity which is then quantized {\it
\`a la Dirac} to obtain an equation of motion for a particle which is in a
representation of the braid group and should describe alternative statistics. A
formulation invariant under general reparametrization is given, by means of a
curved fractional superline.
| [
{
"created": "Mon, 16 Oct 1995 16:54:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Fleury",
"N.",
""
],
[
"de Traubenberg",
"M. Rausch",
""
]
] | A group theory justification of one dimensional fractional supersymmetry is proposed using an analogue of a coset space, just like the one introduced in $1D$ supersymmetry. This theory is then gauged to obtain a local fractional supersymmetry {\it i.e.} a fractional supergravity which is then quantized {\it \`a la Dirac} to obtain an equation of motion for a particle which is in a representation of the braid group and should describe alternative statistics. A formulation invariant under general reparametrization is given, by means of a curved fractional superline. |
2002.09413 | Nelson R. F. Braga | Nelson R. F. Braga and Rodrigo da Mata | Configuration Entropy for Quarkonium in a Finite Density Plasma | In this V2 we consider the Differential Configuration Entropy and
also provide more details about the temperature and density dependences. 16
pages, 6 figures, 2 tables. Version to appear in Physical Review D. arXiv
admin note: text overlap with arXiv:1910.13498 | null | 10.1103/PhysRevD.101.105016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the recent years many examples appeared in the literature where the
configuration entropy (CE), introduced by Gleiser and Stamatopoulos, plays the
role of an indicator of stability of physical systems. It was observed that,
comparing states of the same system, the lower is the value of the CE, the more
stable is the state. In this work we investigate the behaviour of the
differential configuration entropy (DCE) , that is appropriate for systems with
continuous degrees of freedom, in a new context. We consider quasi-states of
quarkonium (a vector meson made of a heavy quark anti-quark pair) inside a
plasma at finite density. It is known that the density increases the
dissociation effect for quasi-particles inside a plasma. So, increasing the
density of a thermal medium corresponds to reducing the stability of the
quasi-particles. In order to investigate how this situation is translated in
the Configutation Entropy context, we use a recently developed holographic
AdS/QCD model for heavy vector mesons. The quasi-normal modes describing the
quasi-states are obtained and the corresponding DCE is calculated. We find, for
bottomonium and charmonium $1 S$ quasi-states, that the DCE increases with the
quark density, or quark chemical potential, of the medium. This result shows
that the DCE works again as an indicator of stability, represented in this case
by the dissociation effect associated with the density.
| [
{
"created": "Fri, 21 Feb 2020 17:02:17 GMT",
"version": "v1"
},
{
"created": "Sun, 24 May 2020 03:54:11 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"Braga",
"Nelson R. F.",
""
],
[
"da Mata",
"Rodrigo",
""
]
] | In the recent years many examples appeared in the literature where the configuration entropy (CE), introduced by Gleiser and Stamatopoulos, plays the role of an indicator of stability of physical systems. It was observed that, comparing states of the same system, the lower is the value of the CE, the more stable is the state. In this work we investigate the behaviour of the differential configuration entropy (DCE) , that is appropriate for systems with continuous degrees of freedom, in a new context. We consider quasi-states of quarkonium (a vector meson made of a heavy quark anti-quark pair) inside a plasma at finite density. It is known that the density increases the dissociation effect for quasi-particles inside a plasma. So, increasing the density of a thermal medium corresponds to reducing the stability of the quasi-particles. In order to investigate how this situation is translated in the Configutation Entropy context, we use a recently developed holographic AdS/QCD model for heavy vector mesons. The quasi-normal modes describing the quasi-states are obtained and the corresponding DCE is calculated. We find, for bottomonium and charmonium $1 S$ quasi-states, that the DCE increases with the quark density, or quark chemical potential, of the medium. This result shows that the DCE works again as an indicator of stability, represented in this case by the dissociation effect associated with the density. |
hep-th/9412133 | Noureddine Mohammedi | Noureddine Mohammedi | Fractional Supersymmetry | 5 pages, Latex | Mod. Phys. Lett. A10 (1995) 1287 | 10.1142/S021773239500140X | SHEP 94/95-17 | hep-th hep-ph | null | A Symmetry between bosonic coordinates and some Grassmannian-type coordinates
is presented. Commuting two of these Grassmannian-type variables results in an
arbitrary phase (not just a minus sign). This symmetry is also realised at the
level of the field theory.
| [
{
"created": "Thu, 15 Dec 1994 17:43:24 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Mohammedi",
"Noureddine",
""
]
] | A Symmetry between bosonic coordinates and some Grassmannian-type coordinates is presented. Commuting two of these Grassmannian-type variables results in an arbitrary phase (not just a minus sign). This symmetry is also realised at the level of the field theory. |
0901.3796 | Stefano Bolognesi | Stefano Bolognesi | Skyrmions in Orientifold and Adjoint QCD | 38 pages; 15 figures. v2: ref added | null | null | FTPI-MINN-08/46; UMN-TH-2730/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a review of recent developments regarding the Skyrmion sector of
higher representation QCD. Ordinary QCD is a SU(n) gauge theory with n_f Dirac
quarks in the fundamental representation. Changing the representation of quarks
leads to different and interesting theories, which are not as well studied as
ordinary QCD. In order to be able to have a consistent asymptotically free
large n limit, we must limit ourselves to three cases: two-index representation
(symmetric or anti-symmetric) and adjoint representation. Skyrmions of the
low-energy effective Lagrangian shall be the main subject of this review. There
are puzzling aspects, both in orientifold and adjoint QCD, regarding the
identification of the Skyrmion and its quantum stability, that have not yet
been understood. We shall explain these problems and the solution we proposed
for them. The first part is dedicated to the two-index representation. Here the
challenge is to identify the correct particle in the spectrum that has to be
identified with the Skyrmion. It turns out not to be the simplest baryon (as in
ordinary QCD) but a baryonic state with higher charge, precisely composed by
n(n\pm 1)/2 quarks. Although not the simplest among the baryons, it is the one
that minimizes the mass per unit of baryonic charge and thus is the most stable
among them. The second part is devoted to the quarks in the adjoint
representation. The task here assume a different perspective. We do not have a
baryon charge, like in ordinary QCD. An important role is now played by a
massive fermion that must be considered in the low-energy effective Lagrangian.
Through this fermion, the Skyrmion acquires an anomalous fermionic number
(-1)^F and, as a consequence, an odd relationship between the latter and its
spin/statistic. This implies a Z_2 stability of the Skyrmion.
| [
{
"created": "Fri, 23 Jan 2009 23:58:18 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Mar 2009 20:51:37 GMT",
"version": "v2"
}
] | 2009-03-21 | [
[
"Bolognesi",
"Stefano",
""
]
] | This is a review of recent developments regarding the Skyrmion sector of higher representation QCD. Ordinary QCD is a SU(n) gauge theory with n_f Dirac quarks in the fundamental representation. Changing the representation of quarks leads to different and interesting theories, which are not as well studied as ordinary QCD. In order to be able to have a consistent asymptotically free large n limit, we must limit ourselves to three cases: two-index representation (symmetric or anti-symmetric) and adjoint representation. Skyrmions of the low-energy effective Lagrangian shall be the main subject of this review. There are puzzling aspects, both in orientifold and adjoint QCD, regarding the identification of the Skyrmion and its quantum stability, that have not yet been understood. We shall explain these problems and the solution we proposed for them. The first part is dedicated to the two-index representation. Here the challenge is to identify the correct particle in the spectrum that has to be identified with the Skyrmion. It turns out not to be the simplest baryon (as in ordinary QCD) but a baryonic state with higher charge, precisely composed by n(n\pm 1)/2 quarks. Although not the simplest among the baryons, it is the one that minimizes the mass per unit of baryonic charge and thus is the most stable among them. The second part is devoted to the quarks in the adjoint representation. The task here assume a different perspective. We do not have a baryon charge, like in ordinary QCD. An important role is now played by a massive fermion that must be considered in the low-energy effective Lagrangian. Through this fermion, the Skyrmion acquires an anomalous fermionic number (-1)^F and, as a consequence, an odd relationship between the latter and its spin/statistic. This implies a Z_2 stability of the Skyrmion. |
hep-th/0102191 | Rabin Banerjee | Rabin Banerjee and Biswajit Chakraborty | Wigner's little group, gauge transformations and dimensional descent | LaTex, revised version shortened to 9 pages; To appear in Jour.Phys.A | J.Phys.A35:2183-2190,2002 | 10.1088/0305-4470/35/9/308 | null | hep-th | null | We propose a technique called dimensional descent to show that Wigner's
little group for massless particles, which acts as a generator of gauge
transformation for usual Maxwell theory, has an identical role even for
topologically massive gauge theories. The examples of $B\wedge F$ theory and
Maxwell-Chern-Simons theory are analyzed in details.
| [
{
"created": "Tue, 27 Feb 2001 13:13:45 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Feb 2002 07:02:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Banerjee",
"Rabin",
""
],
[
"Chakraborty",
"Biswajit",
""
]
] | We propose a technique called dimensional descent to show that Wigner's little group for massless particles, which acts as a generator of gauge transformation for usual Maxwell theory, has an identical role even for topologically massive gauge theories. The examples of $B\wedge F$ theory and Maxwell-Chern-Simons theory are analyzed in details. |
hep-th/0512027 | Khireddine Nouicer | Khireddine Nouicer | Casimir Effect in the Presence of Minimal Lengths | 10 pages, 2 figures | J.Phys.A38:10027-10035,2005 | 10.1088/0305-4470/38/46/009 | null | hep-th | null | It is expected that the implementation of minimal length in quantum models
leads to a consequent lowering of Planck's scale. In this paper, using the
quantum model with minimal length of Kempf et al \cite{kempf0}, we examine the
effect of the minimal length on the Casimir force between parallel plates.
| [
{
"created": "Fri, 2 Dec 2005 13:10:55 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nouicer",
"Khireddine",
""
]
] | It is expected that the implementation of minimal length in quantum models leads to a consequent lowering of Planck's scale. In this paper, using the quantum model with minimal length of Kempf et al \cite{kempf0}, we examine the effect of the minimal length on the Casimir force between parallel plates. |
hep-th/9503044 | Richard MacKenzie | R. MacKenzie | Remarks on gauge vortex scattering | 6 pages, revtex, missing authors added to one reference | Phys.Lett. B352 (1995) 96-98 | 10.1016/0370-2693(95)00470-6 | UdeM-GPP-TH-95-22 | hep-th | null | In the abelian Higgs model, among other situations, it has recently been
realized that the head-on scattering of $n$ solitons distributed symmetrically
around the point of scattering is by an angle $\pi/n$, independant of various
details of the scattering. In this note, it is first observed that this result
is in fact not entirely surprising: the above is one of only two possible
outcomes. Then, a generalization of an argument given by Ruback for the case of
two gauge theory vortices in the Bogomol'nyi limit is used to show that in the
geodesic approximation the above result follows from purely geometric
considerations.
| [
{
"created": "Tue, 7 Mar 1995 23:42:38 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Apr 1995 15:01:49 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"MacKenzie",
"R.",
""
]
] | In the abelian Higgs model, among other situations, it has recently been realized that the head-on scattering of $n$ solitons distributed symmetrically around the point of scattering is by an angle $\pi/n$, independant of various details of the scattering. In this note, it is first observed that this result is in fact not entirely surprising: the above is one of only two possible outcomes. Then, a generalization of an argument given by Ruback for the case of two gauge theory vortices in the Bogomol'nyi limit is used to show that in the geodesic approximation the above result follows from purely geometric considerations. |
hep-th/0408242 | Jianxin Lu | J. X. Lu and S. Roy | Static, non-SUSY $p$-branes in diverse dimensions | 29 pages, typos corrected, references added | JHEP0502:001,2005 | 10.1088/1126-6708/2005/02/001 | USTC-ICTS-04-19, MCTP-04-51 | hep-th | null | We give explicit constructions of static, non-supersymmetric $p$-brane (for
$p \leq d-4$, where $d$ is the space-time dimensionality and including $p=-1$
or D-instanton) solutions of type II supergravities in diverse dimensions. A
subclass of these are the static counterpart of the time dependent solutions
obtained in [hep-th/0309202]. Depending on the forms of the non-extremality
function $G(r)$ defined in the text, we discuss various possible solutions and
their region of validity. We show how one class of these solutions interpolate
between the $p$-brane--anti $p$-brane solutions and the usual BPS $p$-brane
solutions in $d=10$, while the other class, although have BPS limits, do not
have such an interpretation. We point out how the time dependent solutions
mentioned above can be obtained by a Wick rotation of one class of these static
solutions. We also discuss another type of solutions which might seem
non-supersymmetric, but we show by a coordinate transformation that they are
nothing but the near horizon limits of the various BPS $p$-branes already
known.
| [
{
"created": "Tue, 31 Aug 2004 16:19:02 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Sep 2004 15:22:28 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lu",
"J. X.",
""
],
[
"Roy",
"S.",
""
]
] | We give explicit constructions of static, non-supersymmetric $p$-brane (for $p \leq d-4$, where $d$ is the space-time dimensionality and including $p=-1$ or D-instanton) solutions of type II supergravities in diverse dimensions. A subclass of these are the static counterpart of the time dependent solutions obtained in [hep-th/0309202]. Depending on the forms of the non-extremality function $G(r)$ defined in the text, we discuss various possible solutions and their region of validity. We show how one class of these solutions interpolate between the $p$-brane--anti $p$-brane solutions and the usual BPS $p$-brane solutions in $d=10$, while the other class, although have BPS limits, do not have such an interpretation. We point out how the time dependent solutions mentioned above can be obtained by a Wick rotation of one class of these static solutions. We also discuss another type of solutions which might seem non-supersymmetric, but we show by a coordinate transformation that they are nothing but the near horizon limits of the various BPS $p$-branes already known. |
hep-th/0505215 | Shin'ichi Nojiri | Shin'ichi Nojiri and Sergei D. Odintsov | Inhomogeneous Equation of State of the Universe: Phantom Era, Future
Singularity and Crossing the Phantom Barrier | LaTeX, 13 pages, refs. added, version to appear in PRD | Phys.Rev.D72:023003,2005 | 10.1103/PhysRevD.72.023003 | null | hep-th astro-ph gr-qc | null | The dark energy universe equation of state (EOS) with inhomogeneous,Hubble
parameter dependent term is considered. The motivation to introduce such a term
comes from time-dependent viscosity considerations and modifications of general
relativity. For several explicit examples of such EOS it is demonstrated how
the type of future singularity changes, how the phantom epoch emerges and how
crossing of phantom barrier occurs. Similar cosmological regimes are considered
for the universe with two interacting fluids and for universe with implicit
EOS. For instance, the crossing of phantom barrier is realized in easier way,
thanks to the presence of inhomogeneous term. The thermodynamical dark energy
model is presented where the universe entropy may be positive even at phantom
era as a result of crossing of w=-1 barrier.
| [
{
"created": "Tue, 24 May 2005 11:52:12 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jun 2005 11:58:25 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Jul 2005 13:41:02 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Jul 2005 03:01:48 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | The dark energy universe equation of state (EOS) with inhomogeneous,Hubble parameter dependent term is considered. The motivation to introduce such a term comes from time-dependent viscosity considerations and modifications of general relativity. For several explicit examples of such EOS it is demonstrated how the type of future singularity changes, how the phantom epoch emerges and how crossing of phantom barrier occurs. Similar cosmological regimes are considered for the universe with two interacting fluids and for universe with implicit EOS. For instance, the crossing of phantom barrier is realized in easier way, thanks to the presence of inhomogeneous term. The thermodynamical dark energy model is presented where the universe entropy may be positive even at phantom era as a result of crossing of w=-1 barrier. |
2102.02253 | Evgeny Skvortsov D | Alexey Sharapov and Evgeny Skvortsov | Higher Spin Gravities and Presymplectic AKSZ Models | 43+Appendices+biblio=70 pages; comments and refs added, matches the
published version | null | 10.1016/j.nuclphysb.2021.115551 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As a step towards quantization of Higher Spin Gravities we construct the
presymplectic AKSZ sigma-model for $4d$ Higher Spin Gravity which is AdS/CFT
dual of Chern-Simons vector models. It is shown that the presymplectic
structure leads to the correct quantum commutator of higher spin fields and to
the correct algebra of the global higher spin symmetry currents. The
presymplectic AKSZ model is proved to be unique, it depends on two coupling
constants in accordance with the AdS/CFT duality, and it passes some simple
checks of interactions.
| [
{
"created": "Wed, 3 Feb 2021 19:46:28 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Jan 2022 13:50:09 GMT",
"version": "v2"
}
] | 2022-01-19 | [
[
"Sharapov",
"Alexey",
""
],
[
"Skvortsov",
"Evgeny",
""
]
] | As a step towards quantization of Higher Spin Gravities we construct the presymplectic AKSZ sigma-model for $4d$ Higher Spin Gravity which is AdS/CFT dual of Chern-Simons vector models. It is shown that the presymplectic structure leads to the correct quantum commutator of higher spin fields and to the correct algebra of the global higher spin symmetry currents. The presymplectic AKSZ model is proved to be unique, it depends on two coupling constants in accordance with the AdS/CFT duality, and it passes some simple checks of interactions. |
1103.5853 | Stijn van Tongeren | Marius de Leeuw and Stijn J. van Tongeren | Orbifolded Konishi from the Mirror TBA | 26 pages, 5 figures, v2: corrected typos, added a short discussion on
the ground state of the model; as submitted to J. Phys. A | J.Phys.A44:325404,2011 | 10.1088/1751-8113/44/32/325404 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting with a discussion of the general applicability of the simplified
mirror TBA equations to simple deformations of the AdS_5 x S^5 superstring, we
proceed to study a specific type of orbifold to which the undeformed simplified
TBA equations directly apply. We then use this set of equations, as well as
Luscher's approach, to determine the NLO wrapping correction to the energy of
what we call the orbifolded Konishi state, and show that they perfectly agree.
In addition we discuss wrapping corrections to the ground state energy of the
orbifolded model under consideration.
| [
{
"created": "Wed, 30 Mar 2011 08:59:09 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2011 14:37:50 GMT",
"version": "v2"
}
] | 2011-08-08 | [
[
"de Leeuw",
"Marius",
""
],
[
"van Tongeren",
"Stijn J.",
""
]
] | Starting with a discussion of the general applicability of the simplified mirror TBA equations to simple deformations of the AdS_5 x S^5 superstring, we proceed to study a specific type of orbifold to which the undeformed simplified TBA equations directly apply. We then use this set of equations, as well as Luscher's approach, to determine the NLO wrapping correction to the energy of what we call the orbifolded Konishi state, and show that they perfectly agree. In addition we discuss wrapping corrections to the ground state energy of the orbifolded model under consideration. |
hep-th/0407104 | Rubakov Valery | V.Rubakov | Lorentz-violating graviton masses: getting around ghosts, low strong
coupling scale and VDVZ discontinuity | 9 pages | null | null | INR/TH-39-2004 | hep-th | null | A theory with the action combining the Einstein--Hilbert term and graviton
mass terms violating Lorentz invariance is considered at linearized level about
Minkowskian background. It is shown that with one of the masses set equal to
zero, the theory has the following properties: (i) there is a gap of order $m$
in the spectrum, where $m$ is the graviton mass scale; (ii) the dispersion
relations at ${\bf p}^2 \gg m^2$ are $\omega^2 \propto {\bf p}^2$, the spectrum
of tensor modes being relativistic, while other modes having unconventional
maximum velocity; (iii) the VDVZ discontinuity is absent; (iv) the strong
coupling scale is $(mM_{Pl})^{1/2}$. The latter two properties are in sharp
contrast to the Lorentz-invariant gravity with the Pauli--Fierz mass term.
| [
{
"created": "Tue, 13 Jul 2004 16:34:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rubakov",
"V.",
""
]
] | A theory with the action combining the Einstein--Hilbert term and graviton mass terms violating Lorentz invariance is considered at linearized level about Minkowskian background. It is shown that with one of the masses set equal to zero, the theory has the following properties: (i) there is a gap of order $m$ in the spectrum, where $m$ is the graviton mass scale; (ii) the dispersion relations at ${\bf p}^2 \gg m^2$ are $\omega^2 \propto {\bf p}^2$, the spectrum of tensor modes being relativistic, while other modes having unconventional maximum velocity; (iii) the VDVZ discontinuity is absent; (iv) the strong coupling scale is $(mM_{Pl})^{1/2}$. The latter two properties are in sharp contrast to the Lorentz-invariant gravity with the Pauli--Fierz mass term. |
1412.5572 | Martin Einhorn | Martin B. Einhorn and D. R. Timothy Jones | The Gauss-Bonnet Coupling Constant in Classically Scale-Invariant
Gravity | 11 pages, no figures, revtex-4.1. v2 includes additional references
and minor changes in text. v3 has minor changes in text in Section II.B.
Results unchanged | Phys. Rev. D 91, 084039 (2015) | 10.1103/PhysRevD.91.084039 | LTH 1031, NSF-KITP-14-228, MCTP-14-45 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We discuss the renormalization of higher-derivative gravity, both without and
with matter fields, in terms of two primary coupling constants rather than
three. A technique for determining the dependence of the Gauss-Bonnet coupling
constant on the remaining couplings is explained, and consistency with the
local form of the Gauss-Bonnet relation in four dimensions is demonstrated to
all orders in perturbation theory. A similar argument is outlined for the
Hirzebruch signature and its coupling. We speculate upon the potential
implications of instantons on the associated nonperturbative coupling
constants.
| [
{
"created": "Wed, 17 Dec 2014 20:48:24 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jan 2015 23:19:29 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Mar 2015 12:28:05 GMT",
"version": "v3"
}
] | 2015-04-22 | [
[
"Einhorn",
"Martin B.",
""
],
[
"Jones",
"D. R. Timothy",
""
]
] | We discuss the renormalization of higher-derivative gravity, both without and with matter fields, in terms of two primary coupling constants rather than three. A technique for determining the dependence of the Gauss-Bonnet coupling constant on the remaining couplings is explained, and consistency with the local form of the Gauss-Bonnet relation in four dimensions is demonstrated to all orders in perturbation theory. A similar argument is outlined for the Hirzebruch signature and its coupling. We speculate upon the potential implications of instantons on the associated nonperturbative coupling constants. |
0708.0992 | Bin Wang | Shaoyu Yin, Bin Wang, Elcio Abdalla, Chi-Yong Lin | The transition of equation of state of effective dark energy in the DGP
model with bulk contents | 25 pages, 11 figures, revised version, accepted for publication in
Phys. Rev. D | Phys.Rev.D76:124026,2007 | 10.1103/PhysRevD.76.124026 | null | hep-th astro-ph gr-qc | null | We investigate the effect of the bulk contents in the DGP braneworld on the
evolution of the universe. We find that although the pure DGP model cannot
accommodate the transition of the effective equation of state of dark energy,
once the bulk matter T^5_5 is considered, the modified model can realize the
w_{eff} crossing -1. However this transition of the equation of state cannot be
realized by just considering bulk-brane energy exchange or the GB effect while
the bulk matter contribution is not included. T^5_5 plays the major role in the
modified DGP model to have the w crossing -1 behavior. We show that our model
can describe the super-acceleration of our universe with the equation of state
of the effective dark energy and the Hubble parameter in agreement with
observations.
| [
{
"created": "Tue, 7 Aug 2007 17:34:39 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2007 12:52:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Yin",
"Shaoyu",
""
],
[
"Wang",
"Bin",
""
],
[
"Abdalla",
"Elcio",
""
],
[
"Lin",
"Chi-Yong",
""
]
] | We investigate the effect of the bulk contents in the DGP braneworld on the evolution of the universe. We find that although the pure DGP model cannot accommodate the transition of the effective equation of state of dark energy, once the bulk matter T^5_5 is considered, the modified model can realize the w_{eff} crossing -1. However this transition of the equation of state cannot be realized by just considering bulk-brane energy exchange or the GB effect while the bulk matter contribution is not included. T^5_5 plays the major role in the modified DGP model to have the w crossing -1 behavior. We show that our model can describe the super-acceleration of our universe with the equation of state of the effective dark energy and the Hubble parameter in agreement with observations. |
0911.2425 | Marco Rossi | Davide Fioravanti, Paolo Grinza and Marco Rossi | On the logarithmic powers of $sl(2)$ SYM$_4$ | 15 pages, added references, minor changes in introduction and
conclusion | Phys.Lett.B684:52-60,2010 | 10.1016/j.physletb.2009.12.057 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the high spin limit the minimal anomalous dimension of (fixed) twist
operators in the $sl(2)$ sector of planar ${\cal N}=4$ Super Yang-Mills theory
expands as $\gamma(g,s,L)=f(g) \ln s + f_{sl}(g,L) + \sum \limits_{n=1}^\infty
\gamma^{(n)}(g,L) (\ln s)^{-n} + ... $. We find that the sub-logarithmic
contribution $\gamma^{(n)}(g,L) $ is governed by a linear integral equation,
depending on the solution of the linear integral equations appearing at the
steps $n'\leq n-3$. We work out this recursive procedure and determine
explicitly $\gamma^{(n)}(g,L) $ (in particular $\gamma^{(1)}(g,L)=0$ and
$\gamma^{(n)}(g,2)=\gamma^{(n)}(g,3)=0$). Furthermore, we connect the
$\gamma^{(n)}(g,L) $ (for finite $L$) to the generalised scaling functions,
$f^{(r)}_n(g)$, appearing in the limit of large twist $L\sim\ln s$. Finally, we
provide the first orders of weak and strong coupling for the first
$\gamma^{(n)}(g,L)$ (and hence $f^{(r)}_n(g)$).
| [
{
"created": "Thu, 12 Nov 2009 17:49:57 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 2009 08:42:49 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Fioravanti",
"Davide",
""
],
[
"Grinza",
"Paolo",
""
],
[
"Rossi",
"Marco",
""
]
] | In the high spin limit the minimal anomalous dimension of (fixed) twist operators in the $sl(2)$ sector of planar ${\cal N}=4$ Super Yang-Mills theory expands as $\gamma(g,s,L)=f(g) \ln s + f_{sl}(g,L) + \sum \limits_{n=1}^\infty \gamma^{(n)}(g,L) (\ln s)^{-n} + ... $. We find that the sub-logarithmic contribution $\gamma^{(n)}(g,L) $ is governed by a linear integral equation, depending on the solution of the linear integral equations appearing at the steps $n'\leq n-3$. We work out this recursive procedure and determine explicitly $\gamma^{(n)}(g,L) $ (in particular $\gamma^{(1)}(g,L)=0$ and $\gamma^{(n)}(g,2)=\gamma^{(n)}(g,3)=0$). Furthermore, we connect the $\gamma^{(n)}(g,L) $ (for finite $L$) to the generalised scaling functions, $f^{(r)}_n(g)$, appearing in the limit of large twist $L\sim\ln s$. Finally, we provide the first orders of weak and strong coupling for the first $\gamma^{(n)}(g,L)$ (and hence $f^{(r)}_n(g)$). |
hep-th/9909164 | Sonia Stanciu | JM Figueroa-O'Farrill and S Stanciu | More D-branes in the Nappi-Witten background | 21 pages, 4 figures. (A small correction in Section 2.4) | JHEP 0001 (2000) 024 | 10.1088/1126-6708/2000/01/024 | Edinburgh MS-99-005, QMW-PH-99-10, Imperial/TP/98-99/60 | hep-th | null | We re-examine the problem of determining the possible D-branes in the
Nappi-Witten background. In addition to the known branes, we find that there
are also D-instantons, flat euclidean D-strings and curved D-membranes
admitting parallel spinors, all of which can be interpreted as (twisted)
conjugacy classes in the Nappi-Witten group.
| [
{
"created": "Wed, 22 Sep 1999 21:12:37 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jan 2000 17:03:09 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Figueroa-O'Farrill",
"JM",
""
],
[
"Stanciu",
"S",
""
]
] | We re-examine the problem of determining the possible D-branes in the Nappi-Witten background. In addition to the known branes, we find that there are also D-instantons, flat euclidean D-strings and curved D-membranes admitting parallel spinors, all of which can be interpreted as (twisted) conjugacy classes in the Nappi-Witten group. |
0912.2449 | Ioannis Zois | I. P. Zois | Noncommutative Geometry, Hodge Theorem and Holography | 16 pages | null | null | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some time ago we presented an article (which was in fact the outline of a
research programme) in which we argued for the need to develop a nonommutative
version of topological quantum field theories (NCTQFT for short). Recent work
by C.J. Hogan et all, has demonstrated the possibility to get experimental
verification of holography; if this comes true, then that would indicate that
quantum gravity is indeed a TQFT. On the other hand there is accumulating
evidence that the underlying geometry of spacetime is a noncommutative
(abreviated to nc in the sequel) space, hence if one wants a unified theory of
all physical interactions including gravity that would mean that the right
framework would be NCTQFT. Towards this goal we present a modest achievement
which is a nc version of Hodge Theorem and the definition of the nc free
bosonic propagator.
| [
{
"created": "Sat, 12 Dec 2009 20:07:40 GMT",
"version": "v1"
}
] | 2009-12-15 | [
[
"Zois",
"I. P.",
""
]
] | Some time ago we presented an article (which was in fact the outline of a research programme) in which we argued for the need to develop a nonommutative version of topological quantum field theories (NCTQFT for short). Recent work by C.J. Hogan et all, has demonstrated the possibility to get experimental verification of holography; if this comes true, then that would indicate that quantum gravity is indeed a TQFT. On the other hand there is accumulating evidence that the underlying geometry of spacetime is a noncommutative (abreviated to nc in the sequel) space, hence if one wants a unified theory of all physical interactions including gravity that would mean that the right framework would be NCTQFT. Towards this goal we present a modest achievement which is a nc version of Hodge Theorem and the definition of the nc free bosonic propagator. |
2005.02069 | Franco Pezzella Ph. D. | Francesco Bascone and Franco Pezzella | Principal Chiral Model without and with WZ term: Symmetries and
Poisson-Lie T-Duality | 25 pages, Contribution to the Proceedings of Corfu Summer Institute
2019 "Schools and Workshops on Elementary Particle Physics and Gravity" | PoS CORFU2019 (2020), 134 | 10.22323/1.376.0134 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Duality properties of the $SU(2)$ Principal Chiral Model are investigated
starting from a one-parameter family of its equivalent Hamiltonian descriptions
generated by a non-Abelian deformation of the cotangent space $T^*SU(2) \simeq
SU(2) \ltimes \mathbb{R}^3$. The corresponding dual models are obtained through
$O(3,3)$ duality transformations and result to be defined on the group
$SB(2,\mathbb{C})$, which is the Poisson-Lie dual of $SU(2)$ in the Iwasawa
decomposition of the Drinfel'd double $SL(2,\mathbb{C})=SU(2) \bowtie
SB(2,\mathbb{C})$.These dual models provide an explicit realization of
Poisson-Lie T-duality. A doubled generalized parent action is then built on the
tangent space $TSL(2,\mathbb{C})$. Furthermore, a generalization of the $SU(2)$
PCM with a WZ term is shortly discussed.
| [
{
"created": "Tue, 5 May 2020 11:20:51 GMT",
"version": "v1"
}
] | 2022-10-24 | [
[
"Bascone",
"Francesco",
""
],
[
"Pezzella",
"Franco",
""
]
] | Duality properties of the $SU(2)$ Principal Chiral Model are investigated starting from a one-parameter family of its equivalent Hamiltonian descriptions generated by a non-Abelian deformation of the cotangent space $T^*SU(2) \simeq SU(2) \ltimes \mathbb{R}^3$. The corresponding dual models are obtained through $O(3,3)$ duality transformations and result to be defined on the group $SB(2,\mathbb{C})$, which is the Poisson-Lie dual of $SU(2)$ in the Iwasawa decomposition of the Drinfel'd double $SL(2,\mathbb{C})=SU(2) \bowtie SB(2,\mathbb{C})$.These dual models provide an explicit realization of Poisson-Lie T-duality. A doubled generalized parent action is then built on the tangent space $TSL(2,\mathbb{C})$. Furthermore, a generalization of the $SU(2)$ PCM with a WZ term is shortly discussed. |
hep-th/9509023 | null | P.Olesen | Dual strings and magnetohydrodynamics | 10 pages. LaTex. A minor correction has been made | Phys.Lett. B366 (1996) 117-123 | 10.1016/0370-2693(95)01383-0 | NBI-HET-9531 | hep-th astro-ph cond-mat | null | We investigate whether dual strings could be solutions of the
magnetohydrodynamics equations in the limit of infinite conductivity. We find
that the induction equation is satisfied, and we discuss the Navier-Stokes
equation (without viscosity) with the Lorentz force included. We argue that the
dual string equations (with a non-universal maximum velocity) should describe
the large scale motion of narrow magnetic flux tubes, because of a large
reparametrization (gauge) invariance of the magnetic and electric string
fields. It is shown that the energy-momentum tensor for the dual string can be
reinterpreted as an energy-momentum tensor for magnetohydrodynamics, provided
certain conditions are satisfied. We also give a brief discussion of the case
when magnetic monopoles are included, and indicate how this can lead to a
non-relativistic "electrohydrodynamics" picture of confinement.
| [
{
"created": "Wed, 6 Sep 1995 08:04:37 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 1995 14:15:22 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Oct 1995 11:02:44 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Nov 1995 08:29:04 GMT",
"version": "v4"
},
{
"created": "Fri, 3 Nov 1995 09:11:11 GMT",
"version": "v5"
},
{
"created": "Wed, 8 Nov 1995 12:19:30 GMT",
"version": "v6"
}
] | 2009-10-28 | [
[
"Olesen",
"P.",
""
]
] | We investigate whether dual strings could be solutions of the magnetohydrodynamics equations in the limit of infinite conductivity. We find that the induction equation is satisfied, and we discuss the Navier-Stokes equation (without viscosity) with the Lorentz force included. We argue that the dual string equations (with a non-universal maximum velocity) should describe the large scale motion of narrow magnetic flux tubes, because of a large reparametrization (gauge) invariance of the magnetic and electric string fields. It is shown that the energy-momentum tensor for the dual string can be reinterpreted as an energy-momentum tensor for magnetohydrodynamics, provided certain conditions are satisfied. We also give a brief discussion of the case when magnetic monopoles are included, and indicate how this can lead to a non-relativistic "electrohydrodynamics" picture of confinement. |
1507.03791 | Josef Kluson | J. Kluson | Canonical Description of T-duality for Fundamental String and D1-Brane
and Double Wick Rotation | 22 pages, v2:minor corrections | null | 10.1142/S0217751X16500226 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study T-duality transformations in canonical formalism for Nambu-Gotto
action. Then we investigate the relation between world-sheet double Wick
rotation and sequence of target space T-dualities and Wick rotation in case of
fundamental string and D1-brane.
| [
{
"created": "Tue, 14 Jul 2015 09:59:58 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Feb 2016 07:47:49 GMT",
"version": "v2"
}
] | 2016-03-23 | [
[
"Kluson",
"J.",
""
]
] | We study T-duality transformations in canonical formalism for Nambu-Gotto action. Then we investigate the relation between world-sheet double Wick rotation and sequence of target space T-dualities and Wick rotation in case of fundamental string and D1-brane. |
hep-th/0011186 | Paul H. Frampton | Paul H. Frampton and Thomas W. Kephart | Classification of Conformality Models Based on Nonabelian Orbifolds | 121 pages (sorry) LATEX and one JPG figure | Phys.Rev. D64 (2001) 086007 | 10.1103/PhysRevD.64.086007 | IFP-780-UNC / VAND-TH-000-09 | hep-th | null | A systematic analysis is presented of compactifications of the IIB
superstring on $AdS_5 \times S^5/\Gamma$ where $\Gamma$ is a non-abelian
discrete group. Every possible $\Gamma$ with order $g \leq 31$ is considered.
There exist 45 such groups but a majority cannot yield chiral fermions due to a
certain theorem that is proved. The lowest order to embrace the nonSUSY
standard $SU(3) \times SU(2) \times U(1)$ model with three chiral families is
$\Gamma = D_4 \times Z_3$, with $g=24$; this is the only successful model found
in the search. The consequent uniqueness of the successful model arises
primarily from the scalar sector, prescribed by the construction, being
sufficient to allow the correct symmetry breakdown.
| [
{
"created": "Tue, 21 Nov 2000 11:11:29 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Frampton",
"Paul H.",
""
],
[
"Kephart",
"Thomas W.",
""
]
] | A systematic analysis is presented of compactifications of the IIB superstring on $AdS_5 \times S^5/\Gamma$ where $\Gamma$ is a non-abelian discrete group. Every possible $\Gamma$ with order $g \leq 31$ is considered. There exist 45 such groups but a majority cannot yield chiral fermions due to a certain theorem that is proved. The lowest order to embrace the nonSUSY standard $SU(3) \times SU(2) \times U(1)$ model with three chiral families is $\Gamma = D_4 \times Z_3$, with $g=24$; this is the only successful model found in the search. The consequent uniqueness of the successful model arises primarily from the scalar sector, prescribed by the construction, being sufficient to allow the correct symmetry breakdown. |
1501.00514 | Carl Bender | Carl M. Bender, Vincenzo Branchina, and Emanuele Messina | PT-symmetric $\varphi^4$ theory in d=0 dimensions | 16 pages, 3 figures | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A detailed study of a PT-symmetric zero-dimensional quartic theory is
presented and a comparison between the properties of this theory and those of a
conventional quartic theory is given. It is shown that the PT-symmetric quartic
theory evades the consequences of the Mermin-Wagner-Coleman theorem regarding
the absence of symmetry breaking in d<2 dimensions. Furthermore, the
PT-symmetric theory does not satisfy the usual Bogoliubov limit for the
construction of the Green's functions because one obtains different results for
the $h\to0^-$ and the $h\to0^+$ limits.
| [
{
"created": "Fri, 2 Jan 2015 23:53:52 GMT",
"version": "v1"
}
] | 2015-01-06 | [
[
"Bender",
"Carl M.",
""
],
[
"Branchina",
"Vincenzo",
""
],
[
"Messina",
"Emanuele",
""
]
] | A detailed study of a PT-symmetric zero-dimensional quartic theory is presented and a comparison between the properties of this theory and those of a conventional quartic theory is given. It is shown that the PT-symmetric quartic theory evades the consequences of the Mermin-Wagner-Coleman theorem regarding the absence of symmetry breaking in d<2 dimensions. Furthermore, the PT-symmetric theory does not satisfy the usual Bogoliubov limit for the construction of the Green's functions because one obtains different results for the $h\to0^-$ and the $h\to0^+$ limits. |
hep-th/9607164 | Chris Pope | H.Lu, C.N. Pope and P.K. Townsend | Domain Walls from Anti-de Sitter Spacetime | Latex, 13 pages, no figures, introduction revised and references
added | Phys.Lett.B391:39-46,1997 | 10.1016/S0370-2693(96)01443-8 | CTP TAMU-26/96, SISSA 109/96/EP | hep-th | null | We examine $(D-2)$-brane solutions in supergravities, showing that they fall
into four categories depending on the details of the dilaton coupling. In
general they describe domain walls, although in one of the four categories the
metric describes anti-de Sitter spacetime. We study this case, and its $S^1$
dimensional reduction to a more conventional domain wall in detail, focussing
in particular on the manner in which the unbroken supersymmetry of the anti-de
Sitter solution is partially broken by the dimensional reduction to the domain
wall.
| [
{
"created": "Fri, 19 Jul 1996 08:00:38 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Sep 1996 20:22:51 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Townsend",
"P. K.",
""
]
] | We examine $(D-2)$-brane solutions in supergravities, showing that they fall into four categories depending on the details of the dilaton coupling. In general they describe domain walls, although in one of the four categories the metric describes anti-de Sitter spacetime. We study this case, and its $S^1$ dimensional reduction to a more conventional domain wall in detail, focussing in particular on the manner in which the unbroken supersymmetry of the anti-de Sitter solution is partially broken by the dimensional reduction to the domain wall. |
1008.4332 | Ta-Sheng Tai | Ta-Sheng Tai | Uniformization, Calogero-Moser/Heun duality and Sutherland/bubbling
pants | 17 pages, 4 figures; v2: corrections and references added; v3:
Section 2.4.1 newly added thanks to JHEP referee advice. That classical
four-point spheric conformal blocks reproducing known SW prepotentials is
demonstrated via more examples, to appear in JHEP; v4: TexStyle changed only | JHEP 1010:107,2010 | 10.1007/JHEP10(2010)107 | RIKEN-TH-190 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by the work of Alday, Gaiotto and Tachikawa (AGT), we saw the
revival of Poincar{\'{e}}'s uniformization problem and Fuchsian equations
obtained thereof.
Three distinguished aspects are possessed by Fuchsian equations. First, they
are available via imposing a classical Liouville limit on level-two null-vector
conditions. Second, they fall into some A_1-type integrable systems. Third, the
stress-tensor present there (in terms of the Q-form) manifests itself as a kind
of one-dimensional "curve".
Thereby, a contact with the recently proposed Nekrasov-Shatashvili limit was
soon made on the one hand, whilst the seemingly mysterious derivation of
Seiberg-Witten prepotentials from integrable models become resolved on the
other hand. Moreover, AGT conjecture can just be regarded as a quantum version
of the previous Poincar{\'{e}}'s approach.
Equipped with these observations, we examined relations between spheric and
toric (classical) conformal blocks via Calogero-Moser/Heun duality. Besides, as
Sutherland model is also obtainable from Calogero-Moser by pinching tori at one
point, we tried to understand its eigenstates from the viewpoint of toric
diagrams with possibly many surface operators (toric branes) inserted. A
picture called "bubbling pants" then emerged and reproduced well-known results
of the non-critical self-dual c=1 string theory under a "blown-down" limit.
| [
{
"created": "Wed, 25 Aug 2010 18:19:10 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 2010 13:32:12 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Oct 2010 08:11:00 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Jul 2011 15:24:55 GMT",
"version": "v4"
}
] | 2011-07-22 | [
[
"Tai",
"Ta-Sheng",
""
]
] | Inspired by the work of Alday, Gaiotto and Tachikawa (AGT), we saw the revival of Poincar{\'{e}}'s uniformization problem and Fuchsian equations obtained thereof. Three distinguished aspects are possessed by Fuchsian equations. First, they are available via imposing a classical Liouville limit on level-two null-vector conditions. Second, they fall into some A_1-type integrable systems. Third, the stress-tensor present there (in terms of the Q-form) manifests itself as a kind of one-dimensional "curve". Thereby, a contact with the recently proposed Nekrasov-Shatashvili limit was soon made on the one hand, whilst the seemingly mysterious derivation of Seiberg-Witten prepotentials from integrable models become resolved on the other hand. Moreover, AGT conjecture can just be regarded as a quantum version of the previous Poincar{\'{e}}'s approach. Equipped with these observations, we examined relations between spheric and toric (classical) conformal blocks via Calogero-Moser/Heun duality. Besides, as Sutherland model is also obtainable from Calogero-Moser by pinching tori at one point, we tried to understand its eigenstates from the viewpoint of toric diagrams with possibly many surface operators (toric branes) inserted. A picture called "bubbling pants" then emerged and reproduced well-known results of the non-critical self-dual c=1 string theory under a "blown-down" limit. |
hep-th/0306211 | Nikita A. Nekrasov | Nikita A. Nekrasov | Seiberg-Witten prepotential from instanton counting | These are lecture notes from the ICM that summarize hep-th/0206161 | Proceedings of the ICM, Beijing 2002, vol. 3, 477--496 | null | ICM 2002 | hep-th | null | In my lecture I consider integrals over moduli spaces of supersymmetric gauge
field configurations (instantons, Higgs bundles, torsion free sheaves).
The applications are twofold: physical and mathematical; they involve
supersymmetric quantum mechanics of D-particles in various dimensions, direct
computation of the celebrated Seiberg-Witten prepotential, sum rules for the
solutions of the Bethe ansatz equations and their relation to the Laumon's
nilpotent cone. As a by-product we derive some combinatoric identities
involving the sums over Young tableaux.
| [
{
"created": "Fri, 20 Jun 2003 22:12:44 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nekrasov",
"Nikita A.",
""
]
] | In my lecture I consider integrals over moduli spaces of supersymmetric gauge field configurations (instantons, Higgs bundles, torsion free sheaves). The applications are twofold: physical and mathematical; they involve supersymmetric quantum mechanics of D-particles in various dimensions, direct computation of the celebrated Seiberg-Witten prepotential, sum rules for the solutions of the Bethe ansatz equations and their relation to the Laumon's nilpotent cone. As a by-product we derive some combinatoric identities involving the sums over Young tableaux. |
1508.01474 | Laura Andrianopoli Prof. | Laura Andrianopoli, Patrick Concha, Riccardo D'Auria, Evelyn Rodriguez
and Mario Trigiante | Observations on BI from $\mathcal{N}=2$ Supergravity and the General
Ward Identity | Typos corrected, Appendix A extended | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The multi-vector generalization of a rigid, partially-broken $\mathcal{N}=2$
supersymmetric theory is presented as a rigid limit of a suitable gauged
$\mathcal{N}=2$ supergravity with electric, magnetic charges and antisymmetric
tensor fields. This on the one hand generalizes a known result by Ferrara,
Girardello and Porrati while on the other hand allows to recover the
multi-vector BI models from $\mathcal{N}=2$ supergravity as the end-point of a
hierarchical limit in which the Planck mass first and then the supersymmetry
breaking scale are sent to infinity.
We define, in the parent supergravity model, a new symplectic frame in which,
in the rigid limit, manifest symplectic invariance is preserved and the
electric and magnetic Fayet-Iliopoulos terms are fully originated from the
dyonic components of the embedding tensor. The supergravity origin of several
features of the resulting rigid supersymmetric theory will be elucidated, such
as the presence of a traceless ${\rm SU}(2)$- Lie algebra term in the Ward
identity and the existence of a central charge in the supersymmetry algebra
which manifests itself as a harmless gauge transformation on the gauge vectors
of the rigid theory; we show that this effect can be interpreted as a kind of
"superspace non-locality" which does not affect the rigid theory on space-time.
To set the stage of our analysis we take the opportunity in this paper to
provide and prove the relevant identities of the most general dyonic gauging of
Special-Kaehler and Quaternionic-Kaehler isometries in a generic
$\mathcal{N}=2$ model, which include the supersymmetry Ward identity, in a
fully symplectic-covariant formalism.
| [
{
"created": "Thu, 6 Aug 2015 18:01:39 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2015 10:16:35 GMT",
"version": "v2"
}
] | 2015-09-15 | [
[
"Andrianopoli",
"Laura",
""
],
[
"Concha",
"Patrick",
""
],
[
"D'Auria",
"Riccardo",
""
],
[
"Rodriguez",
"Evelyn",
""
],
[
"Trigiante",
"Mario",
""
]
] | The multi-vector generalization of a rigid, partially-broken $\mathcal{N}=2$ supersymmetric theory is presented as a rigid limit of a suitable gauged $\mathcal{N}=2$ supergravity with electric, magnetic charges and antisymmetric tensor fields. This on the one hand generalizes a known result by Ferrara, Girardello and Porrati while on the other hand allows to recover the multi-vector BI models from $\mathcal{N}=2$ supergravity as the end-point of a hierarchical limit in which the Planck mass first and then the supersymmetry breaking scale are sent to infinity. We define, in the parent supergravity model, a new symplectic frame in which, in the rigid limit, manifest symplectic invariance is preserved and the electric and magnetic Fayet-Iliopoulos terms are fully originated from the dyonic components of the embedding tensor. The supergravity origin of several features of the resulting rigid supersymmetric theory will be elucidated, such as the presence of a traceless ${\rm SU}(2)$- Lie algebra term in the Ward identity and the existence of a central charge in the supersymmetry algebra which manifests itself as a harmless gauge transformation on the gauge vectors of the rigid theory; we show that this effect can be interpreted as a kind of "superspace non-locality" which does not affect the rigid theory on space-time. To set the stage of our analysis we take the opportunity in this paper to provide and prove the relevant identities of the most general dyonic gauging of Special-Kaehler and Quaternionic-Kaehler isometries in a generic $\mathcal{N}=2$ model, which include the supersymmetry Ward identity, in a fully symplectic-covariant formalism. |
hep-th/0602249 | Frank Ferrari | Frank Ferrari (U.L. Bruxelles and Intl. Solvay Inst.) | The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass
gap and confinement problems | 31 pages, 1 figure; v2: typos corrected; references, a note on
Kovner-Shifman vacua (section 4.3) and a few clarifying comments in Section 3
added; v3: cosmetic changes, JHEP version | JHEP0606:039,2006 | 10.1088/1126-6708/2006/06/039 | LPTENS-05/28 | hep-th | null | Using generalized Konishi anomaly equations, it is known that one can
express, in a large class of supersymmetric gauge theories, all the chiral
operators expectation values in terms of a finite number of a priori arbitrary
constants. We show that these constants are fully determined by the requirement
of gauge invariance and an additional anomaly equation. The constraints so
obtained turn out to be equivalent to the extremization of the Dijkgraaf-Vafa
quantum glueball superpotential, with all terms (including the
Veneziano-Yankielowicz part) unambiguously fixed. As an application, we fill
non-trivial gaps in existing derivations of the mass gap and confinement
properties in super Yang-Mills theories.
| [
{
"created": "Thu, 23 Feb 2006 18:16:23 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2006 10:37:00 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jun 2006 14:22:50 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Ferrari",
"Frank",
"",
"U.L. Bruxelles and Intl. Solvay Inst."
]
] | Using generalized Konishi anomaly equations, it is known that one can express, in a large class of supersymmetric gauge theories, all the chiral operators expectation values in terms of a finite number of a priori arbitrary constants. We show that these constants are fully determined by the requirement of gauge invariance and an additional anomaly equation. The constraints so obtained turn out to be equivalent to the extremization of the Dijkgraaf-Vafa quantum glueball superpotential, with all terms (including the Veneziano-Yankielowicz part) unambiguously fixed. As an application, we fill non-trivial gaps in existing derivations of the mass gap and confinement properties in super Yang-Mills theories. |
1102.2778 | Katya Pozdeeva | Ekaterina Pozdeeva and Axel Schulze-Halberg | Propagators of Generalized Schr\"odinger Equations Related by
Higher-Order Supersymmetry | 15 pages | International Journal of Modern Physics A, Vol. 26, No. 2 (2011)
197-207 | 10.1142/S0217751X11051457 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct explicit integral relations between propagators of generalized
Schr\"odinger equations that are linked by higher-order supersymmetry. Our
results complement and extend the findings obtained in J. Phys.A 40, 10557
(2007) for the conventional Schr\"odinger equation.
| [
{
"created": "Mon, 14 Feb 2011 14:27:07 GMT",
"version": "v1"
}
] | 2011-02-15 | [
[
"Pozdeeva",
"Ekaterina",
""
],
[
"Schulze-Halberg",
"Axel",
""
]
] | We construct explicit integral relations between propagators of generalized Schr\"odinger equations that are linked by higher-order supersymmetry. Our results complement and extend the findings obtained in J. Phys.A 40, 10557 (2007) for the conventional Schr\"odinger equation. |
hep-th/0211056 | Gianluca Grignani | G. De Risi, G. Grignani and M. Orselli | Space/Time Noncommutativity in String Theories without Background
Electric Field | 18 pages, JHEP style | JHEP 0212 (2002) 031 | 10.1088/1126-6708/2002/12/031 | UPRF-2002-16 | hep-th | null | The appearance of space/time non-commutativity in theories of open strings
with a constant non-diagonal background metric is considered. We show that,
even if the space-time coordinates commute, when there is a metric with a
time-space component, no electric field and the boundary condition along the
spatial direction is Dirichlet, a Moyal phase still arises in products of
vertex operators. The theory is in fact dual to the non-commutatitive open
string (NCOS) theory. The correct definition of the vertex operators for this
theory is provided. We study the system also in the presence of a $B$ field. We
consider the case in which the Dirichlet spatial direction is compactified and
analyze the effect of these background on the closed string spectrum. We then
heat up the system. We find that the Hagedorn temperature depends in a
non-extensive way on the parameters of the background and it is the same for
the closed and the open string sectors.
| [
{
"created": "Thu, 7 Nov 2002 11:37:17 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"De Risi",
"G.",
""
],
[
"Grignani",
"G.",
""
],
[
"Orselli",
"M.",
""
]
] | The appearance of space/time non-commutativity in theories of open strings with a constant non-diagonal background metric is considered. We show that, even if the space-time coordinates commute, when there is a metric with a time-space component, no electric field and the boundary condition along the spatial direction is Dirichlet, a Moyal phase still arises in products of vertex operators. The theory is in fact dual to the non-commutatitive open string (NCOS) theory. The correct definition of the vertex operators for this theory is provided. We study the system also in the presence of a $B$ field. We consider the case in which the Dirichlet spatial direction is compactified and analyze the effect of these background on the closed string spectrum. We then heat up the system. We find that the Hagedorn temperature depends in a non-extensive way on the parameters of the background and it is the same for the closed and the open string sectors. |
1905.09632 | Howard Georgi | Howard Georgi | The Schwinger Point | 19 pages, 2 figures, new discussion of n-flavor Schwinger model -
version 3 minor changes to prepare for submission | null | 10.1007/JHEP11(2019)057 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Sommerfield model with a massive vector field coupled to a massless
fermion in 1+1 dimensions is an exactly solvable analog of a Bank-Zaks model.
The `physics' of the model comprises a massive boson and an unparticle sector
that survives at low energy as a conformal field theory (Thirring model). I
discuss the `Schwinger point' of the Sommerfield model in which the vector
boson mass goes to zero. The limit is singular but gauge invariant quantities
should be well-defined. I give a number of examples, both (trivially) with
local operators and with nonlocal products connected by Wilson lines (the
primary technical accomplishment in this note is the explicit and very
pedestrian calculation of correlators involving straight Wilson lines). I hope
that this may give some insight into the nature of bosonization in the
Schwinger model and its connection with unparticle physics which in this simple
case may be thought of as `incomplete bosonization.'
| [
{
"created": "Thu, 23 May 2019 13:08:26 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2019 20:37:03 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Aug 2019 22:20:57 GMT",
"version": "v3"
}
] | 2020-01-08 | [
[
"Georgi",
"Howard",
""
]
] | The Sommerfield model with a massive vector field coupled to a massless fermion in 1+1 dimensions is an exactly solvable analog of a Bank-Zaks model. The `physics' of the model comprises a massive boson and an unparticle sector that survives at low energy as a conformal field theory (Thirring model). I discuss the `Schwinger point' of the Sommerfield model in which the vector boson mass goes to zero. The limit is singular but gauge invariant quantities should be well-defined. I give a number of examples, both (trivially) with local operators and with nonlocal products connected by Wilson lines (the primary technical accomplishment in this note is the explicit and very pedestrian calculation of correlators involving straight Wilson lines). I hope that this may give some insight into the nature of bosonization in the Schwinger model and its connection with unparticle physics which in this simple case may be thought of as `incomplete bosonization.' |
hep-th/0503030 | M. Meyer | S. Deser and D. Seminara | Free Spin 2 Duality Invariance Cannot be Extended to GR | 11 Pages | Phys.Rev.D71:081502,2005 | 10.1103/PhysRevD.71.081502 | BRX TH-560 | hep-th gr-qc | null | We show by explicit computation that the recently discovered duality
invariance of D=4 linearized gravity fails, already at first self-interacting,
cubic, approximation of GR. In contrast, the cubic Yang-Mills correction to
Maxwell does admit a simple deformed duality.
| [
{
"created": "Thu, 3 Mar 2005 20:18:34 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Deser",
"S.",
""
],
[
"Seminara",
"D.",
""
]
] | We show by explicit computation that the recently discovered duality invariance of D=4 linearized gravity fails, already at first self-interacting, cubic, approximation of GR. In contrast, the cubic Yang-Mills correction to Maxwell does admit a simple deformed duality. |
2403.20316 | Malte Henkel | Christian Duval and Malte Henkel and Peter Horvathy and Shain Rouhani
and Pengming Zhang | Schr\"odinger symmetry: a historical review | Latex2e, 59 pages, 5 figures included | null | null | null | hep-th cond-mat.stat-mech gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | This paper reviews the history of the conformal extension of Galilean
symmetry, now called Schr\"odinger symmetry. In the physics literature, its
discovery is commonly attributed to Jackiw, Niederer and Hagen (1972). However,
Schr\"odinger symmetry has a much older ancestry: the associated conserved
quantities were known to Jacobi in 1842/43 and its euclidean counterpart was
discovered by Sophus Lie in 1881 in his studies of the heat equation. A
convenient way to study Schr\"odinger symmetry is provided by a
non-relativistic Kaluza-Klein-type "Bargmann" framework, first proposed by
Eisenhart (1929), but then forgotten and re-discovered by Duval {\it et al.}
only in 1984. Representations of Schr\"odinger symmetry differ by the value
$z=2$ of the dynamical exponent from the value $z=1$ found in representations
of relativistic conformal invariance. For generic values of $z$, whole families
of new algebras exist, which for $z=2/\ell$ include the $\ell$-conformal
galilean algebras. We also review the non-relativistic limit of conformal
algebras and that this limit leads to the $1$-conformal galilean algebra and
not to the Schr\"odinger algebra. The latter can be recovered in the Bargmann
framework through reduction. A distinctive feature of Galilean and
Schr\"odinger symmetries are the Bargmann super-selection rules, algebraically
related to a central extension. An empirical consequence of this was known as
"mass conservation" already to Lavoisier. As an illustration of these concepts,
some applications to physical ageing in simple model systems are reviewed.
| [
{
"created": "Fri, 29 Mar 2024 17:40:34 GMT",
"version": "v1"
}
] | 2024-04-01 | [
[
"Duval",
"Christian",
""
],
[
"Henkel",
"Malte",
""
],
[
"Horvathy",
"Peter",
""
],
[
"Rouhani",
"Shain",
""
],
[
"Zhang",
"Pengming",
""
]
] | This paper reviews the history of the conformal extension of Galilean symmetry, now called Schr\"odinger symmetry. In the physics literature, its discovery is commonly attributed to Jackiw, Niederer and Hagen (1972). However, Schr\"odinger symmetry has a much older ancestry: the associated conserved quantities were known to Jacobi in 1842/43 and its euclidean counterpart was discovered by Sophus Lie in 1881 in his studies of the heat equation. A convenient way to study Schr\"odinger symmetry is provided by a non-relativistic Kaluza-Klein-type "Bargmann" framework, first proposed by Eisenhart (1929), but then forgotten and re-discovered by Duval {\it et al.} only in 1984. Representations of Schr\"odinger symmetry differ by the value $z=2$ of the dynamical exponent from the value $z=1$ found in representations of relativistic conformal invariance. For generic values of $z$, whole families of new algebras exist, which for $z=2/\ell$ include the $\ell$-conformal galilean algebras. We also review the non-relativistic limit of conformal algebras and that this limit leads to the $1$-conformal galilean algebra and not to the Schr\"odinger algebra. The latter can be recovered in the Bargmann framework through reduction. A distinctive feature of Galilean and Schr\"odinger symmetries are the Bargmann super-selection rules, algebraically related to a central extension. An empirical consequence of this was known as "mass conservation" already to Lavoisier. As an illustration of these concepts, some applications to physical ageing in simple model systems are reviewed. |
hep-th/0112069 | Ali Mostafazadeh | Ali Mostafazadeh | On a Z_3-Graded Generalization of the Witten Index | Accepted for publication in Nucl. Phys. B | Nucl.Phys. B624 (2002) 500-508 | 10.1016/S0550-3213(01)00630-7 | null | hep-th math-ph math.MP quant-ph | null | We construct a realization of the algebra of the Z_3-graded topological
symmetry of type (1,1,1) in terms of a pair of operators D_1: H_1 -> H_2, and
D_2: H_2 -> H_3 satisfying [D_1D_1^\dagger,D_2^\dagger D_2]=0. We show that the
sequence of the restriction of these operators to the zero-energy subspace
forms a complex and establish the equality of the corresponding topological
invariants with the analytic indices of these operators.
| [
{
"created": "Mon, 10 Dec 2001 10:50:33 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Mostafazadeh",
"Ali",
""
]
] | We construct a realization of the algebra of the Z_3-graded topological symmetry of type (1,1,1) in terms of a pair of operators D_1: H_1 -> H_2, and D_2: H_2 -> H_3 satisfying [D_1D_1^\dagger,D_2^\dagger D_2]=0. We show that the sequence of the restriction of these operators to the zero-energy subspace forms a complex and establish the equality of the corresponding topological invariants with the analytic indices of these operators. |
hep-th/9906213 | Frank Zimmerschied | B. Kleihaus, D.H. Tchrakian, F. Zimmerschied | Sphaleron of a 4 dimensional SO(4) Higgs model | 9 pages, 2 figures, LaTex format, minor text corrections. To be
published in Phys. Lett. B | Phys.Lett. B461 (1999) 224-229 | 10.1016/S0370-2693(99)00838-2 | null | hep-th | null | We construct the finite energy path between topologically distinct vacua of a
4 dimensional SO(4) Higgs model which is known to support an instanton, and
show that there is a sphaleron with Chern-Simons number N_CS=1/2 at the top of
the energy barrier. This is carried out using the original geometric loop
construction of Manton.
| [
{
"created": "Mon, 28 Jun 1999 11:08:28 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 1999 16:40:03 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kleihaus",
"B.",
""
],
[
"Tchrakian",
"D. H.",
""
],
[
"Zimmerschied",
"F.",
""
]
] | We construct the finite energy path between topologically distinct vacua of a 4 dimensional SO(4) Higgs model which is known to support an instanton, and show that there is a sphaleron with Chern-Simons number N_CS=1/2 at the top of the energy barrier. This is carried out using the original geometric loop construction of Manton. |
2004.06639 | Kenichi Konishi | Stefano Bolognesi, Kenichi Konishi, Andrea Luzio | Dynamics from symmetries in chiral $SU(N)$ gauge theories | Latex 34 pages, 3 figures | null | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The symmetries and dynamics of simple chiral $SU(N)$ gauge theories, with
matter Weyl fermions in a two-index symmetric tensor and $N+4$ anti-fundamental
representations, are examined, by taking advantage of the recent developments
involving the ideas of generalized symmetries, gauging of discrete center
1-form symmetries and mixed 't Hooft anomalies. This class of models are
particularly interesting because the conventional 't Hooft anomaly matching
constraints allow a chirally symmetric confining vacuum, with no condensates
breaking the $U(1) \times SU(N+4)$ flavor symmetry, and with certain set of
massless baryonlike composite fermions saturating all the associated anomaly
triangles. Our calculations show that in such a vacuum the UV-IR matching of
some $0$-form$-$$1$-form mixed 't Hooft anomalies fails. This implies, for the
theories with even $N$ at least, that a chirally symmetric confining vacuum
contemplated earlier in the literature actually cannot be realized dynamically.
In contrast, a Higgs phase characterized by some gauge-noninvariant bifermion
condensates passes our improved scrutiny.
| [
{
"created": "Tue, 14 Apr 2020 16:36:12 GMT",
"version": "v1"
},
{
"created": "Wed, 20 May 2020 18:53:42 GMT",
"version": "v2"
}
] | 2020-05-22 | [
[
"Bolognesi",
"Stefano",
""
],
[
"Konishi",
"Kenichi",
""
],
[
"Luzio",
"Andrea",
""
]
] | The symmetries and dynamics of simple chiral $SU(N)$ gauge theories, with matter Weyl fermions in a two-index symmetric tensor and $N+4$ anti-fundamental representations, are examined, by taking advantage of the recent developments involving the ideas of generalized symmetries, gauging of discrete center 1-form symmetries and mixed 't Hooft anomalies. This class of models are particularly interesting because the conventional 't Hooft anomaly matching constraints allow a chirally symmetric confining vacuum, with no condensates breaking the $U(1) \times SU(N+4)$ flavor symmetry, and with certain set of massless baryonlike composite fermions saturating all the associated anomaly triangles. Our calculations show that in such a vacuum the UV-IR matching of some $0$-form$-$$1$-form mixed 't Hooft anomalies fails. This implies, for the theories with even $N$ at least, that a chirally symmetric confining vacuum contemplated earlier in the literature actually cannot be realized dynamically. In contrast, a Higgs phase characterized by some gauge-noninvariant bifermion condensates passes our improved scrutiny. |
hep-th/0007178 | Masoud Alimohammadi | M. Alimohammadi, Kh. Saaidi | More on generalized simplicial chiral models | 11 pages, 1 figure | Int.J.Mod.Phys. A16 (2001) 1161 | 10.1142/S0217751X01003172 | null | hep-th | null | By generalizing the auxiliary field term in the Lagrangian of simplicial
chiral models on a (d-1)-dimensional simplex, the generalized simplicial chiral
models has been introduced in \c{Ali}. These models can be solved analytically
only in d=0 and d=2 cases at large-N limit. In d=0 case, we calculate the
eigenvalue density function in strong regime and show that the partition
function computed from this density function is consistent with one calculated
by path integration directly. In d=2 case, it is shown that all $V= {\rm
Tr}(AA^{\d})^n$ models have a third order phase transition, same as the
2-dimensional Yang-Mills theory.
| [
{
"created": "Sat, 22 Jul 2000 09:12:01 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Alimohammadi",
"M.",
""
],
[
"Saaidi",
"Kh.",
""
]
] | By generalizing the auxiliary field term in the Lagrangian of simplicial chiral models on a (d-1)-dimensional simplex, the generalized simplicial chiral models has been introduced in \c{Ali}. These models can be solved analytically only in d=0 and d=2 cases at large-N limit. In d=0 case, we calculate the eigenvalue density function in strong regime and show that the partition function computed from this density function is consistent with one calculated by path integration directly. In d=2 case, it is shown that all $V= {\rm Tr}(AA^{\d})^n$ models have a third order phase transition, same as the 2-dimensional Yang-Mills theory. |
hep-th/0102170 | Sher Alam | S. Alam (ETL) | Proposal of a topological M(atrix) theory | 14 pages revtex | Phys.Rev. D60 (1999) 024015 | 10.1103/PhysRevD.60.024015 | null | hep-th | null | Keeping in mind the several models of M(atrix) theory we attempt to
understand the possible structure of the topological M(atrix) theory
``underlying'' these approaches. In particular we are motivated by the issue
about the nature of the structure of the vacuum of the topological M(atrix)
theory and how this could be related to the vacuum of the electroweak theory.
In doing so we are led to a simple topological matrix model. Moreover it is
intuitively expected from the current understanding that the noncommutative
nature of ``spacetime'' and background independence should lead to a
topological Model. The main purpose of this note is to propose a simple
topological Matrix Model which bears relation to F and M theories. Suggestions
on the origin of the chemical potential term appearing in the matrix models are
given.
| [
{
"created": "Sun, 25 Feb 2001 04:32:01 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Alam",
"S.",
"",
"ETL"
]
] | Keeping in mind the several models of M(atrix) theory we attempt to understand the possible structure of the topological M(atrix) theory ``underlying'' these approaches. In particular we are motivated by the issue about the nature of the structure of the vacuum of the topological M(atrix) theory and how this could be related to the vacuum of the electroweak theory. In doing so we are led to a simple topological matrix model. Moreover it is intuitively expected from the current understanding that the noncommutative nature of ``spacetime'' and background independence should lead to a topological Model. The main purpose of this note is to propose a simple topological Matrix Model which bears relation to F and M theories. Suggestions on the origin of the chemical potential term appearing in the matrix models are given. |
hep-th/9707239 | Djamel Dou | Djamel Dou and Roberto Percacci | The Running Gravitational Couplings | 19 pages, TeX file, revised and expanded, some misprints corrected | Class.Quant.Grav. 15 (1998) 3449-3468 | 10.1088/0264-9381/15/11/011 | SISSA 117/97/EP | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the running of the cosmological constant and Newton's constant
taking into account the effect of quantum fields with any spin between 0 and 2.
We find that Newton's constant does not vary appreciably but the cosmological
constant can change by many orders of magnitude when one goes from cosmological
scales to typical elementary particle scales. In the extreme infrared, zero
modes drive the cosmological constant to zero.
| [
{
"created": "Tue, 29 Jul 1997 15:43:54 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Dec 1997 13:40:55 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Jan 2009 11:30:58 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Dou",
"Djamel",
""
],
[
"Percacci",
"Roberto",
""
]
] | We compute the running of the cosmological constant and Newton's constant taking into account the effect of quantum fields with any spin between 0 and 2. We find that Newton's constant does not vary appreciably but the cosmological constant can change by many orders of magnitude when one goes from cosmological scales to typical elementary particle scales. In the extreme infrared, zero modes drive the cosmological constant to zero. |
1610.02394 | Gang Yang | Gang Yang | Color-kinematics duality and Sudakov form factor at five loops for N=4
supersymmetric Yang-Mills theory | 6 pages, 6 figures; v2, auxiliary file with three-parameter
numerators provided, references added, minor changes, published version | Phys. Rev. Lett. 117, 271602 (2016) | 10.1103/PhysRevLett.117.271602 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using color-kinematics duality, we construct for the first time the full
integrand of the five-loop Sudakov form factor in N=4 super-Yang-Mills theory,
including non-planar contributions. This result also provides a first
manifestation of the color-kinematics duality at five loops. The integrand is
explicitly ultraviolet finite when D<26/5, coincident with the known finiteness
bound for amplitudes. If the double-copy method could be applied to the form
factor, this would indicate an interesting ultraviolet finiteness bound for N=8
supergravity at five loops. The result is also expected to provide an essential
input for computing the five-loop non-planar cusp anomalous dimension.
| [
{
"created": "Fri, 7 Oct 2016 19:59:26 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2016 13:46:37 GMT",
"version": "v2"
}
] | 2017-01-04 | [
[
"Yang",
"Gang",
""
]
] | Using color-kinematics duality, we construct for the first time the full integrand of the five-loop Sudakov form factor in N=4 super-Yang-Mills theory, including non-planar contributions. This result also provides a first manifestation of the color-kinematics duality at five loops. The integrand is explicitly ultraviolet finite when D<26/5, coincident with the known finiteness bound for amplitudes. If the double-copy method could be applied to the form factor, this would indicate an interesting ultraviolet finiteness bound for N=8 supergravity at five loops. The result is also expected to provide an essential input for computing the five-loop non-planar cusp anomalous dimension. |
hep-th/9509061 | null | A. V. Ramallo, S. Roy and J.M. Sanchez de Santos | Topological supergravity structure of non-critical superstring theories | 15 pages, phyzzx, no figures | Phys.Lett. B366 (1996) 141-148 | 10.1016/0370-2693(95)01377-6 | US-FT-24/95 | hep-th | null | We obtain a bosonization prescription that allows to represent the
energy-momentum tensor and supersymmetry generators of non-critical superstring
theories with minimal matter as those of topological supergravity. Superstrings
with $N=1$ and $N=2$ world-sheet supersymmetry are considered. The topological
symmetry associated with the topological supergravity representation is
studied. It is shown, in particular, that the compatibility of this topological
structure with the supersymmetry enhances the superconformal symmetry of the
models concerned.
| [
{
"created": "Mon, 11 Sep 1995 05:54:47 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Ramallo",
"A. V.",
""
],
[
"Roy",
"S.",
""
],
[
"de Santos",
"J. M. Sanchez",
""
]
] | We obtain a bosonization prescription that allows to represent the energy-momentum tensor and supersymmetry generators of non-critical superstring theories with minimal matter as those of topological supergravity. Superstrings with $N=1$ and $N=2$ world-sheet supersymmetry are considered. The topological symmetry associated with the topological supergravity representation is studied. It is shown, in particular, that the compatibility of this topological structure with the supersymmetry enhances the superconformal symmetry of the models concerned. |
hep-th/9810043 | Akira Niegawa | A. Ni\'egawa | Out of Equilibrium Relativistic Quantum Field Theory --- Perturbation
Theory and Progress of Phase Transition | 73 pages | null | null | OCU-PHYS 170 | hep-th hep-ph | null | This paper describes perturbative framework, on the basis of closed-time-path
formalism, for studying quasiuniform relativistic quantum field systems near
equilibrium and nonequilibrium quasistationary systems. At the first part,
starting from first principles, we construct perturbative schemes for
relativistic complex-scalar-field theory. We clarify what assumption is
involved in arriving at a standard perturbative framework and to what extent
the $n (\geq 4)$-point initial correlation functions that are usually discarded
in the standard framework can in fact be discarded. Two calculational schemes
are introduced, the one is formulated on the basis of the initial particle
distribution function and the one is formulated on the basis of the ``
physical'' particle distribution function. Both schemes are equivalent and lead
to a generalized relativistic kinetic or Boltzmann equation. At the second
part, using the perturbative loop-expansion scheme for an $O (N)$ linear
$\sigma$ model, we analyze how the chiral phase transition proceeds through
disoriented chiral condensates. The system of coupled equations that governs
the spacetime evolution of the condensate or order-parameter fields is derived.
The region where the curvature of the ``potential'' is negative is dealt with
by introducing the random-force fields. Application to simple situations is
made.
| [
{
"created": "Wed, 7 Oct 1998 07:18:35 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Oct 1998 08:19:14 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Niégawa",
"A.",
""
]
] | This paper describes perturbative framework, on the basis of closed-time-path formalism, for studying quasiuniform relativistic quantum field systems near equilibrium and nonequilibrium quasistationary systems. At the first part, starting from first principles, we construct perturbative schemes for relativistic complex-scalar-field theory. We clarify what assumption is involved in arriving at a standard perturbative framework and to what extent the $n (\geq 4)$-point initial correlation functions that are usually discarded in the standard framework can in fact be discarded. Two calculational schemes are introduced, the one is formulated on the basis of the initial particle distribution function and the one is formulated on the basis of the `` physical'' particle distribution function. Both schemes are equivalent and lead to a generalized relativistic kinetic or Boltzmann equation. At the second part, using the perturbative loop-expansion scheme for an $O (N)$ linear $\sigma$ model, we analyze how the chiral phase transition proceeds through disoriented chiral condensates. The system of coupled equations that governs the spacetime evolution of the condensate or order-parameter fields is derived. The region where the curvature of the ``potential'' is negative is dealt with by introducing the random-force fields. Application to simple situations is made. |
hep-th/0610176 | Steffen Krusch | Steffen Krusch | Quantization of Skyrmions | 11 pages, 4 figures | null | null | null | hep-th | null | The Skyrme model is a nonlinear classical field theory which models the
strong interaction between atomic nuclei. In order to compare the predictions
of the Skyrme model with nuclear physics, it has to be quantized. We show,
summarizing earlier work, how the rational map ansatz can be employed to
calculate the Finkelstein-Rubinstein constraints which arise during
quantization. Then we give an overview of current results on the quantum ground
states in the Skyrme model. We end with an outlook on future work.
| [
{
"created": "Mon, 16 Oct 2006 11:27:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Krusch",
"Steffen",
""
]
] | The Skyrme model is a nonlinear classical field theory which models the strong interaction between atomic nuclei. In order to compare the predictions of the Skyrme model with nuclear physics, it has to be quantized. We show, summarizing earlier work, how the rational map ansatz can be employed to calculate the Finkelstein-Rubinstein constraints which arise during quantization. Then we give an overview of current results on the quantum ground states in the Skyrme model. We end with an outlook on future work. |
hep-th/0511154 | Naoki Sasakura | Naoki Sasakura (YITP, Kyoto Univ.) | An invariant approach to dynamical fuzzy spaces with a three-index
variable -- Euclidean models | Typos, 15 pages, 5 eps figures, Latex, Submitted to the Proceedings
of the 4th International Symposium "Quantum Theory and Symmetries" (QTS-4),
15-21 August 2005, Varna, Bulgaria | null | null | YITP-05-70 | hep-th | null | A dynamical fuzzy space might be described in terms of a dynamical
three-index variable C_{ab}^c, which determines the algebraic relations f_a f_b
=C_{ab}^c f_c of the functions f_a on a fuzzy space. A fuzzy analogue of the
general coordinate transformation would be given by the general linear
transformation on f_a. The solutions to the invariant equations of motion of
C_{ab}^c can be generally constructed from the invariant tensors of Lie groups.
Euclidean models the actions of which are bounded from below are introduced.
Lie group symmetric solutions to a class of Euclidean model are obtained. The
analysis of the fluctuations around the SO(3) symmetric solution shows that the
solution can be regarded as a fuzzy S^2/Z_2.
| [
{
"created": "Tue, 15 Nov 2005 05:49:04 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Dec 2005 05:06:19 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Sasakura",
"Naoki",
"",
"YITP, Kyoto Univ."
]
] | A dynamical fuzzy space might be described in terms of a dynamical three-index variable C_{ab}^c, which determines the algebraic relations f_a f_b =C_{ab}^c f_c of the functions f_a on a fuzzy space. A fuzzy analogue of the general coordinate transformation would be given by the general linear transformation on f_a. The solutions to the invariant equations of motion of C_{ab}^c can be generally constructed from the invariant tensors of Lie groups. Euclidean models the actions of which are bounded from below are introduced. Lie group symmetric solutions to a class of Euclidean model are obtained. The analysis of the fluctuations around the SO(3) symmetric solution shows that the solution can be regarded as a fuzzy S^2/Z_2. |
2108.13427 | Yale Fan | Josiah Couch, Yale Fan, Sanjit Shashi | Circuit Complexity in Topological Quantum Field Theory | 47 pages, 8 figures; v3: comments, acknowledgements, and references
added, matches published version | Fortschr. Phys. 70 (2022) 9-10, 2200102 | 10.1002/prop.202200102 | UTTG-06-21 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum circuit complexity has played a central role in recent advances in
holography and many-body physics. Within quantum field theory, it has typically
been studied in a Lorentzian (real-time) framework. In a departure from
standard treatments, we aim to quantify the complexity of the Euclidean path
integral. In this setting, there is no clear separation between space and time,
and the notion of unitary evolution on a fixed Hilbert space no longer applies.
As a proof of concept, we argue that the pants decomposition provides a natural
notion of circuit complexity within the category of 2-dimensional bordisms and
use it to formulate the circuit complexity of states and operators in
2-dimensional topological quantum field theory. We comment on analogies between
our formalism and others in quantum mechanics, such as tensor networks and
second quantization.
| [
{
"created": "Mon, 30 Aug 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Sep 2021 19:40:14 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Oct 2022 15:58:00 GMT",
"version": "v3"
}
] | 2022-10-12 | [
[
"Couch",
"Josiah",
""
],
[
"Fan",
"Yale",
""
],
[
"Shashi",
"Sanjit",
""
]
] | Quantum circuit complexity has played a central role in recent advances in holography and many-body physics. Within quantum field theory, it has typically been studied in a Lorentzian (real-time) framework. In a departure from standard treatments, we aim to quantify the complexity of the Euclidean path integral. In this setting, there is no clear separation between space and time, and the notion of unitary evolution on a fixed Hilbert space no longer applies. As a proof of concept, we argue that the pants decomposition provides a natural notion of circuit complexity within the category of 2-dimensional bordisms and use it to formulate the circuit complexity of states and operators in 2-dimensional topological quantum field theory. We comment on analogies between our formalism and others in quantum mechanics, such as tensor networks and second quantization. |
1211.7364 | Claudio Scrucca | Benoit Legeret, Claudio A. Scrucca and Paul Smyth | Metastable spontaneous breaking of N=2 supersymmetry | 16 pages, no figures; v2 improved introduction and conclusions; v3
minor corrections | null | 10.1016/j.physletb.2013.04.031 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that contrary to the common lore it is possible to spontaneously
break N=2 supersymmetry even in simple theories without constant
Fayet-Iliopoulos terms. We consider the most general N=2 supersymmetric theory
with one hypermultiplet and one vector multiplet without Fayet-Iliopoulos
terms, and show that metastable supersymmetry breaking vacua can arise if both
the hyper-Kahler and the special-Kahler geometries are suitably curved. We then
also prove that while all the scalars can be massive, the lightest one is
always lighter than the vector boson. Finally, we argue that these results also
directly imply that metastable de Sitter vacua can exist in N=2 supergravity
theories with Abelian gaugings and no Fayet-Iliopoulos terms, again contrary to
common lore, at least if the cosmological constant is sufficiently large.
| [
{
"created": "Fri, 30 Nov 2012 20:19:11 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2012 12:28:10 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Apr 2013 13:16:45 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Legeret",
"Benoit",
""
],
[
"Scrucca",
"Claudio A.",
""
],
[
"Smyth",
"Paul",
""
]
] | We show that contrary to the common lore it is possible to spontaneously break N=2 supersymmetry even in simple theories without constant Fayet-Iliopoulos terms. We consider the most general N=2 supersymmetric theory with one hypermultiplet and one vector multiplet without Fayet-Iliopoulos terms, and show that metastable supersymmetry breaking vacua can arise if both the hyper-Kahler and the special-Kahler geometries are suitably curved. We then also prove that while all the scalars can be massive, the lightest one is always lighter than the vector boson. Finally, we argue that these results also directly imply that metastable de Sitter vacua can exist in N=2 supergravity theories with Abelian gaugings and no Fayet-Iliopoulos terms, again contrary to common lore, at least if the cosmological constant is sufficiently large. |
hep-th/9410037 | Andre LeClair | Andre LeClair | Quantum Solitons in Non-Linear Optics: Resonant Dielectric Media | 8 pages, CLNS 94/1302 | null | null | null | hep-th | null | It is known that classical electromagnetic radiation at a frequency in
resonance with energy splittings of atoms in a dielectric medium can be
described using the classical sine-Gordon equation. In this paper we quantize
the electromagnetic field and compute quantum corrections to the classical
results by using known results from the sine-Gordon quantum field theory.
| [
{
"created": "Thu, 6 Oct 1994 13:56:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"LeClair",
"Andre",
""
]
] | It is known that classical electromagnetic radiation at a frequency in resonance with energy splittings of atoms in a dielectric medium can be described using the classical sine-Gordon equation. In this paper we quantize the electromagnetic field and compute quantum corrections to the classical results by using known results from the sine-Gordon quantum field theory. |
hep-th/9306024 | Parthasarathi Majumdar | Parthasarathi Majumdar | Discretized Superstring in Three Dimensional Superspace | 8 pages | Phys.Rev.Lett. 71 (1993) 1140-1143 | 10.1103/PhysRevLett.71.1140 | null | hep-th | null | The partition function of the discretized superstring in a target superspace
of three (Euclidean) bosonic dimensions, is shown, for a fixed triangulation of
the random world sheet, to be derived from the partition function of a
discretized bosonic string with an external field present in the action in the
form of a specific constant matrix, using first order forms of the actions.
This latter partition function appears more amenable to an exact analytical
treatment.
| [
{
"created": "Fri, 4 Jun 1993 19:03:57 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Majumdar",
"Parthasarathi",
""
]
] | The partition function of the discretized superstring in a target superspace of three (Euclidean) bosonic dimensions, is shown, for a fixed triangulation of the random world sheet, to be derived from the partition function of a discretized bosonic string with an external field present in the action in the form of a specific constant matrix, using first order forms of the actions. This latter partition function appears more amenable to an exact analytical treatment. |
1607.01929 | Peter Kazinski | I.S. Kalinichenko, P.O. Kazinski | One-loop omega-potential of charged massive particles in a constant
homogeneous magnetic field at high temperatures | 26 pp, 3 figs; some textual misprints corrected, elucidations added | Phys. Rev. D 94, 125012 (2016) | 10.1103/PhysRevD.94.125012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The explicit expressions for the high-temperature expansions of the one-loop
corrections to the omega-potential coming from charged scalar and Dirac
particles and, separately, from antiparticles in a constant homogeneous
magnetic field are derived. The explicit expressions for the non-perturbative
corrections to the effective action at finite temperature and density are
obtained. Thermodynamic properties of a gas of charged scalars in a constant
homogeneous magnetic field are analyzed in the one-loop approximation. It turns
out that, in this approximation, the system suffers a first-order phase
transition from the diamagnetic to the superconducting state at sufficiently
high densities. The improvement of the one-loop result by summing the ring
diagrams is investigated. This improvement leads to a drastic change in
thermodynamic properties of the system. The gas of charged scalars passes to
the ferromagnetic state in place of the superconducting one at high densities
and sufficiently low temperatures, in the high temperature regime.
| [
{
"created": "Thu, 7 Jul 2016 09:16:06 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2016 09:42:01 GMT",
"version": "v2"
}
] | 2016-12-28 | [
[
"Kalinichenko",
"I. S.",
""
],
[
"Kazinski",
"P. O.",
""
]
] | The explicit expressions for the high-temperature expansions of the one-loop corrections to the omega-potential coming from charged scalar and Dirac particles and, separately, from antiparticles in a constant homogeneous magnetic field are derived. The explicit expressions for the non-perturbative corrections to the effective action at finite temperature and density are obtained. Thermodynamic properties of a gas of charged scalars in a constant homogeneous magnetic field are analyzed in the one-loop approximation. It turns out that, in this approximation, the system suffers a first-order phase transition from the diamagnetic to the superconducting state at sufficiently high densities. The improvement of the one-loop result by summing the ring diagrams is investigated. This improvement leads to a drastic change in thermodynamic properties of the system. The gas of charged scalars passes to the ferromagnetic state in place of the superconducting one at high densities and sufficiently low temperatures, in the high temperature regime. |
2307.15587 | Horatiu Stefan Nastase | Marcelo R. Barbosa and Horatiu Nastase | Penrose limit of T-dual of MNa solution and dual orbifold field theory | 19 pages, no figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the Penrose limit of the T-dual of the MNa solution
and its field theory dual, in order to better understand the effect of
T-duality in this case. We find a matching of string pp wave oscillators and
their masses to the field theory modes, that are rearranged after T-duality.
The effect of T-duality on the long "annulon-type" operators is found, as a
symmetry of the 2+1 dimensional confining theory with spontaneous susy
breaking.
| [
{
"created": "Fri, 28 Jul 2023 14:40:46 GMT",
"version": "v1"
}
] | 2023-07-31 | [
[
"Barbosa",
"Marcelo R.",
""
],
[
"Nastase",
"Horatiu",
""
]
] | In this paper we study the Penrose limit of the T-dual of the MNa solution and its field theory dual, in order to better understand the effect of T-duality in this case. We find a matching of string pp wave oscillators and their masses to the field theory modes, that are rearranged after T-duality. The effect of T-duality on the long "annulon-type" operators is found, as a symmetry of the 2+1 dimensional confining theory with spontaneous susy breaking. |
hep-th/0005042 | Ashok Das | Ashok Das | Supersymmetry in Singular Quantum Mechanics | Talk presented at the Second School on Field Theory and Gravitation
in Vitoria, to be published in the proceedings | null | null | null | hep-th | null | The breaking of supersymmetry due to singular potentials in supersymmetric
quantum mechanics is critically analyzed. It is shown that, when properly
regularized, these potentials respect supersymmetry, even when the
regularization parameter is removed.
| [
{
"created": "Thu, 4 May 2000 11:58:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Das",
"Ashok",
""
]
] | The breaking of supersymmetry due to singular potentials in supersymmetric quantum mechanics is critically analyzed. It is shown that, when properly regularized, these potentials respect supersymmetry, even when the regularization parameter is removed. |
0712.0652 | Eugene Loginov | E.K. Loginov, A.N. Grishkov | On a construction of self-dual gauge fields in seven dimensions | 10 pages, LaTeX, no figures | J.Nonlin.Math.Phys.14:562-569,2007 | 10.2991/jnmp.2007.14.4.5 | null | hep-th | null | We consider gauge fields associated with a semisimple Malcev algebra. We
construct a gauge-invariant Lagrangian and found a solution of modified
Yang-Mills equations in seven dimensions.
| [
{
"created": "Wed, 5 Dec 2007 05:20:11 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Loginov",
"E. K.",
""
],
[
"Grishkov",
"A. N.",
""
]
] | We consider gauge fields associated with a semisimple Malcev algebra. We construct a gauge-invariant Lagrangian and found a solution of modified Yang-Mills equations in seven dimensions. |
2012.09877 | Antonio Gallerati | Andres Anabalon, Dumitru Astefanesei, Antonio Gallerati, Mario
Trigiante | New non-extremal and BPS hairy black holes in gauged $\,\mathcal{N}=2\,$
and $\,\mathcal{N}=8\,$ supergravity | 36 pages | JHEP 04 (2021) 047 | 10.1007/JHEP04(2021)047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we study a family of four-dimensional, $\mathcal{N}=2$
supergravity theories that interpolates between all the single dilaton
truncations of the $\mathrm{SO}(8)$ gauged $\mathcal{N}=8$ supergravity. In
this infinitely many theories characterized by two real numbers -- the
interpolation parameter and the dyonic "angle" of the gauging -- we construct
non-extremal electrically or magnetically charged black hole solutions and
their supersymmetric limits. All the supersymmetric black holes have
non-singular horizons with spherical, hyperbolic or planar topology. Some of
these supersymmetric and non-extremal black holes are new examples in the
$\mathcal{N}=8$ theory that do not belong to the STU model. We compute the
asymptotic charges, thermodynamics and boundary conditions of these black holes
and show that all of them, except one, introduce a triple trace deformation in
the dual theory.
| [
{
"created": "Thu, 17 Dec 2020 19:00:27 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Dec 2020 16:17:39 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Dec 2020 18:17:03 GMT",
"version": "v3"
},
{
"created": "Wed, 24 Feb 2021 15:32:15 GMT",
"version": "v4"
},
{
"created": "Sun, 28 Feb 2021 11:36:36 GMT",
"version": "v5"
}
] | 2021-04-09 | [
[
"Anabalon",
"Andres",
""
],
[
"Astefanesei",
"Dumitru",
""
],
[
"Gallerati",
"Antonio",
""
],
[
"Trigiante",
"Mario",
""
]
] | In this article we study a family of four-dimensional, $\mathcal{N}=2$ supergravity theories that interpolates between all the single dilaton truncations of the $\mathrm{SO}(8)$ gauged $\mathcal{N}=8$ supergravity. In this infinitely many theories characterized by two real numbers -- the interpolation parameter and the dyonic "angle" of the gauging -- we construct non-extremal electrically or magnetically charged black hole solutions and their supersymmetric limits. All the supersymmetric black holes have non-singular horizons with spherical, hyperbolic or planar topology. Some of these supersymmetric and non-extremal black holes are new examples in the $\mathcal{N}=8$ theory that do not belong to the STU model. We compute the asymptotic charges, thermodynamics and boundary conditions of these black holes and show that all of them, except one, introduce a triple trace deformation in the dual theory. |
1510.07627 | John Terning | Kitran Colwell and John Terning | S-Duality and Helicity Amplitudes | 27 pages, 3 figures | null | 10.1007/JHEP03(2016)068 | null | hep-th hep-ph | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We examine interacting Abelian theories at low energies and show that
holomorphically normalized photon helicity amplitudes transform into dual
amplitudes under SL(2,Z) as modular forms with weights that depend on the
number of positive and negative helicity photons and on the number of internal
photon lines. Moreover, canonically normalized helicity amplitudes transform by
a phase, so that even though the amplitudes are not duality invariant, their
squares are duality invariant. We explicitly verify the duality transformation
at one loop by comparing the amplitudes in the case of an electron and the dyon
that is its SL(2,Z) image, and extend the invariance of squared amplitudes
order by order in perturbation theory. We demonstrate that S-duality is
property of all low-energy effective Abelian theories with electric and/or
magnetic charges and see how the duality generically breaks down at high
energies.
| [
{
"created": "Mon, 26 Oct 2015 20:13:32 GMT",
"version": "v1"
}
] | 2016-04-20 | [
[
"Colwell",
"Kitran",
""
],
[
"Terning",
"John",
""
]
] | We examine interacting Abelian theories at low energies and show that holomorphically normalized photon helicity amplitudes transform into dual amplitudes under SL(2,Z) as modular forms with weights that depend on the number of positive and negative helicity photons and on the number of internal photon lines. Moreover, canonically normalized helicity amplitudes transform by a phase, so that even though the amplitudes are not duality invariant, their squares are duality invariant. We explicitly verify the duality transformation at one loop by comparing the amplitudes in the case of an electron and the dyon that is its SL(2,Z) image, and extend the invariance of squared amplitudes order by order in perturbation theory. We demonstrate that S-duality is property of all low-energy effective Abelian theories with electric and/or magnetic charges and see how the duality generically breaks down at high energies. |
2204.07171 | Max Wiesner | Severin L\"ust, Cumrun Vafa, Max Wiesner, Kai Xu | Holography and the KKLT Scenario | 30 pages, 1 figure; v2: minor clarifications, references added,
published version | null | 10.1007/JHEP10(2022)188 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The KKLT scenario, one of the few ideas to realize dS vacua in string theory,
consists of two steps: the first involves the construction of a supersymmetric
AdS vacuum with a small negative cosmological constant, and the second involves
breaking supersymmetry and uplifting the energy to achieve dS. In this paper we
use conventional holography to argue why it is not possible to complete the
first step. We obtain this by putting a bound on the central charge of the dual
theory which involves branes wrapping special Lagrangian cycles in CY 4-folds.
We find that $l_{\rm AdS}^2 \lesssim \chi(CY_4)$. Since $l_{\rm
species}^2\gtrsim \chi(CY_4)$ this leads to $l_{\rm AdS}/l_{\rm
species}\lesssim 1$ leading at best to a highly curved AdS which is beyond the
validity of the EFT.
| [
{
"created": "Thu, 14 Apr 2022 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Nov 2022 14:08:12 GMT",
"version": "v2"
}
] | 2022-11-14 | [
[
"Lüst",
"Severin",
""
],
[
"Vafa",
"Cumrun",
""
],
[
"Wiesner",
"Max",
""
],
[
"Xu",
"Kai",
""
]
] | The KKLT scenario, one of the few ideas to realize dS vacua in string theory, consists of two steps: the first involves the construction of a supersymmetric AdS vacuum with a small negative cosmological constant, and the second involves breaking supersymmetry and uplifting the energy to achieve dS. In this paper we use conventional holography to argue why it is not possible to complete the first step. We obtain this by putting a bound on the central charge of the dual theory which involves branes wrapping special Lagrangian cycles in CY 4-folds. We find that $l_{\rm AdS}^2 \lesssim \chi(CY_4)$. Since $l_{\rm species}^2\gtrsim \chi(CY_4)$ this leads to $l_{\rm AdS}/l_{\rm species}\lesssim 1$ leading at best to a highly curved AdS which is beyond the validity of the EFT. |
hep-th/0404069 | Dmitri Vassilevich | M. Bordag, D. V. Vassilevich | Nonsmooth backgrounds in quantum field theory | 9 pages, revtex4; v2: clarifying remarks in sec. IV | Phys.Rev.D70:045003,2004 | 10.1103/PhysRevD.70.045003 | LU-TP 2004/016 | hep-th hep-ph | null | The one-loop renormalization in field theories can be formulated in terms of
the heat kernel expansion. In this paper we calculate leading contributions of
discontinuities of background fields and their derivatives to the heat kernel
coefficients. These results are then used to estimate contributions of the
discontinuities to the Casimir energy. Sign of such contribution is defined
solely by the order of discontinuous derivative. We also discuss
renormalization in the presence of singular (delta-function) potentials. We
show that an independent surface tension counterterm is necessary. This
observation seems to resolve some contradictions in previous calculations.
| [
{
"created": "Thu, 8 Apr 2004 15:41:41 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 2004 13:39:46 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bordag",
"M.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] | The one-loop renormalization in field theories can be formulated in terms of the heat kernel expansion. In this paper we calculate leading contributions of discontinuities of background fields and their derivatives to the heat kernel coefficients. These results are then used to estimate contributions of the discontinuities to the Casimir energy. Sign of such contribution is defined solely by the order of discontinuous derivative. We also discuss renormalization in the presence of singular (delta-function) potentials. We show that an independent surface tension counterterm is necessary. This observation seems to resolve some contradictions in previous calculations. |
2101.10188 | Aleksey Andreev | A. Andreev, A. Popolitov, A. Sleptsov, A. Zhabin | Combinatorics of KP hierarchy structural constants | 17 pages, no figures | Eur. Phys. J. C 81, 1136 (2021) | 10.1140/epjc/s10052-021-09899-8 | MIPT/TH-19/20; ITEP/TH-34/20; IITP/TH-21/20 | hep-th math-ph math.CO math.MP | http://creativecommons.org/licenses/by/4.0/ | Following Natanzon-Zabrodin, we explore the Kadomtsev-Petviashvili hierarchy
as an infinite system of mutually consistent relations on the second
derivatives of the free energy with some universal coefficients. From this
point of view, various combinatorial properties of these coefficients naturally
highlight certain non-trivial properties of the KP hierarchy. Furthermore, this
approach allows us to suggest several interesting directions of the KP
deformation via a deformation of these coefficients. We also construct an
eigenvalue matrix model, whose correlators fully describe the universal KP
coefficients, which allows us to further study their properties and
generalizations.
| [
{
"created": "Mon, 25 Jan 2021 15:52:58 GMT",
"version": "v1"
}
] | 2022-03-15 | [
[
"Andreev",
"A.",
""
],
[
"Popolitov",
"A.",
""
],
[
"Sleptsov",
"A.",
""
],
[
"Zhabin",
"A.",
""
]
] | Following Natanzon-Zabrodin, we explore the Kadomtsev-Petviashvili hierarchy as an infinite system of mutually consistent relations on the second derivatives of the free energy with some universal coefficients. From this point of view, various combinatorial properties of these coefficients naturally highlight certain non-trivial properties of the KP hierarchy. Furthermore, this approach allows us to suggest several interesting directions of the KP deformation via a deformation of these coefficients. We also construct an eigenvalue matrix model, whose correlators fully describe the universal KP coefficients, which allows us to further study their properties and generalizations. |
1807.02063 | Takada Shintaro | H. Abe, T.Kobayashi, S.Takada, S.Tamba and T. H. Tatsuishi | Quark mass matrices in magnetized orbifold models with localized
Fayet-Iliopoulos terms | 15 pages | Phys. Rev. D 98, 106017 (2018) | 10.1103/PhysRevD.98.106017 | EPHOU-18-008, WU-HEP-18-07 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study magnetized orbifold models. We assume the localized Fayet-Iliopoulos
terms and the corresponding gauge background. Such terms lead to strong
localization of zero-mode wavefunc- tions. In this setup, we compute quark mass
matrices.
| [
{
"created": "Wed, 4 Jul 2018 06:17:00 GMT",
"version": "v1"
}
] | 2018-11-28 | [
[
"Abe",
"H.",
""
],
[
"Kobayashi",
"T.",
""
],
[
"Takada",
"S.",
""
],
[
"Tamba",
"S.",
""
],
[
"Tatsuishi",
"T. H.",
""
]
] | We study magnetized orbifold models. We assume the localized Fayet-Iliopoulos terms and the corresponding gauge background. Such terms lead to strong localization of zero-mode wavefunc- tions. In this setup, we compute quark mass matrices. |
0906.3552 | Gabriele Travaglini | Andreas Brandhuber, Paul Heslop, Gabriele Travaglini | Proof of the Dual Conformal Anomaly of One-Loop Amplitudes in N=4 SYM | 21 pages, 4 figures | JHEP 0910:063,2009 | 10.1088/1126-6708/2009/10/063 | QMUL-PH-09-14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide two derivations of the one-loop dual conformal anomaly of generic
n-point superamplitudes in maximally supersymmetric Yang-Mills theory. Our
proofs are based on simple applications of unitarity, and the known analytic
properties of the amplitudes.
| [
{
"created": "Thu, 18 Jun 2009 23:52:10 GMT",
"version": "v1"
}
] | 2009-11-09 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Heslop",
"Paul",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | We provide two derivations of the one-loop dual conformal anomaly of generic n-point superamplitudes in maximally supersymmetric Yang-Mills theory. Our proofs are based on simple applications of unitarity, and the known analytic properties of the amplitudes. |
hep-th/9302021 | Boguslaw Broda | Boguslaw Broda (U. Clausthal and U. Lodz) | SU(2) and the Kauffman bracket | 5 pages | J.Phys. A26 (1993) L401-L403 | 10.1088/0305-4470/26/8/002 | null | hep-th math.QA | null | A direct relationship between the (non-quantum) group SU(2) and the Kauffman
bracket in the framework of Chern-Simons theory is explicitly shown.
| [
{
"created": "Sat, 6 Feb 1993 17:28:27 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Broda",
"Boguslaw",
"",
"U. Clausthal and U. Lodz"
]
] | A direct relationship between the (non-quantum) group SU(2) and the Kauffman bracket in the framework of Chern-Simons theory is explicitly shown. |
0905.0285 | Alessandro Nigro | Alessandro Nigro | The Baxter Q Operator of Critical Dense Polymers | improved version, accepted for publishing on JSTAT | J. Stat. Mech. (2009) P10008 | 10.1088/1742-5468/2009/10/P10008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider critical dense polymers ${\cal L}_{1,2}$, corresponding to a
logarithmic conformal field theory with central charge $c=-2$. An elegant
decomposition of the Baxter $Q$ operator is obtained in terms of a finite
number of lattice integrals of motion. All local, non local and dual non local
involutive charges are introduced directly on the lattice and their continuum
limit is found to agree with the expressions predicted by conformal field
theory. A highly non trivial operator $\Psi(\nu)$ is introduced on the lattice
taking values in the Temperley Lieb Algebra. This $\Psi$ function provides a
lattice discretization of the analogous function introduced by Bazhanov,
Lukyanov and Zamolodchikov. It is also observed how the eigenvalues of the $Q$
operator reproduce the well known spectral determinant for the harmonic
oscillator in the continuum scaling limit.
| [
{
"created": "Mon, 4 May 2009 13:59:43 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Sep 2009 13:55:37 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Nigro",
"Alessandro",
""
]
] | We consider critical dense polymers ${\cal L}_{1,2}$, corresponding to a logarithmic conformal field theory with central charge $c=-2$. An elegant decomposition of the Baxter $Q$ operator is obtained in terms of a finite number of lattice integrals of motion. All local, non local and dual non local involutive charges are introduced directly on the lattice and their continuum limit is found to agree with the expressions predicted by conformal field theory. A highly non trivial operator $\Psi(\nu)$ is introduced on the lattice taking values in the Temperley Lieb Algebra. This $\Psi$ function provides a lattice discretization of the analogous function introduced by Bazhanov, Lukyanov and Zamolodchikov. It is also observed how the eigenvalues of the $Q$ operator reproduce the well known spectral determinant for the harmonic oscillator in the continuum scaling limit. |
1805.08834 | Patrick Concha | Patrick Concha, Nelson Merino, Olivera Miskovic, Evelyn Rodr\'iguez,
Patricio Salgado-Rebolledo and Omar Valdivia | Asymptotic symmetries of three-dimensional Chern-Simons gravity for the
Maxwell algebra | v3, 23 pages, introduction extended, minor correction, references
added, Published version | JHEP 10 (2018) 079 | 10.1007/JHEP10(2018)079 | UAI-PHY-18/05 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a three-dimensional Chern-Simons gravity theory based on the Maxwell
algebra. We find that the boundary dynamics is described by an enlargement and
deformation of the $\mathfrak{bms}_3$ algebra with three independent central
charges. This symmetry arises from a gravity action invariant under the local
Maxwell group and is characterized by presence of Abelian generators which
modify the commutation relations of the super-translations in the standard
$\mathfrak{bms}_3$ algebra. Our analysis is based on the charge algebra of the
theory in the BMS gauge, which includes the known solutions of standard
asymptotically flat case. The field content of the theory is different than the
one of General Relativity, but it includes all its geometries as particular
solutions. In this line, we also study the stationary solutions of the theory
in ADM form and we show that the vacuum energy and the vacuum angular momentum
of the stationary configuration are influenced by the presence of the
gravitational Maxwell field.
| [
{
"created": "Tue, 22 May 2018 19:49:47 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jun 2018 16:17:44 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Oct 2018 16:20:17 GMT",
"version": "v3"
}
] | 2018-10-16 | [
[
"Concha",
"Patrick",
""
],
[
"Merino",
"Nelson",
""
],
[
"Miskovic",
"Olivera",
""
],
[
"Rodríguez",
"Evelyn",
""
],
[
"Salgado-Rebolledo",
"Patricio",
""
],
[
"Valdivia",
"Omar",
""
]
] | We study a three-dimensional Chern-Simons gravity theory based on the Maxwell algebra. We find that the boundary dynamics is described by an enlargement and deformation of the $\mathfrak{bms}_3$ algebra with three independent central charges. This symmetry arises from a gravity action invariant under the local Maxwell group and is characterized by presence of Abelian generators which modify the commutation relations of the super-translations in the standard $\mathfrak{bms}_3$ algebra. Our analysis is based on the charge algebra of the theory in the BMS gauge, which includes the known solutions of standard asymptotically flat case. The field content of the theory is different than the one of General Relativity, but it includes all its geometries as particular solutions. In this line, we also study the stationary solutions of the theory in ADM form and we show that the vacuum energy and the vacuum angular momentum of the stationary configuration are influenced by the presence of the gravitational Maxwell field. |
1402.3373 | Dr. Sudhaker Upadhyay | Sudhaker Upadhyay | Field-dependent quantum gauge transformation | 7 pages, No figure, Journal version | EPL 105 (2014) 21001 | 10.1209/0295-5075/105/21001 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we generalize the quantum gauge transformation of Maxwell
theory obtained through gaugeon formalism. The generalization is made by making
the bosonic transformation parameter field-dependent. The Jacobian of vacuum
functional under field-dependent quantum gauge transformation is calculated
explicitly. We show that the quantum gauge transformation with a particular
choice of field-dependent parameter connects the gaugeon actions of Maxwell
theory in two different gauges. We establish the result by connecting two
well-known gauges, namely, Lorentz gauge and axial gauge.
| [
{
"created": "Fri, 14 Feb 2014 06:12:48 GMT",
"version": "v1"
}
] | 2014-02-17 | [
[
"Upadhyay",
"Sudhaker",
""
]
] | In this paper we generalize the quantum gauge transformation of Maxwell theory obtained through gaugeon formalism. The generalization is made by making the bosonic transformation parameter field-dependent. The Jacobian of vacuum functional under field-dependent quantum gauge transformation is calculated explicitly. We show that the quantum gauge transformation with a particular choice of field-dependent parameter connects the gaugeon actions of Maxwell theory in two different gauges. We establish the result by connecting two well-known gauges, namely, Lorentz gauge and axial gauge. |
1009.2629 | Miguel Aguado | Miguel Aguado, Manuel Asorey | Theta-vacuum and large N limit in CP^{N-1} sigma models | v2: 25 pages, 4 eps figures, introduction expanded, matches published
version | Nucl.Phys.B844:243-265,2011 | 10.1016/j.nuclphysb.2010.11.004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The theta dependence of the vacuum energy density in CP^{N-1} models is
re-analysed in the semiclassical approach, the 1/N expansion and arguments
based on the nodal structure of vacuum wavefunctionals. The 1/N expansion is
shown not to be in contradiction with instanton physics at finite (spacetime)
volume V. The interplay of large volume V and large N parameter gives rise to
two regimes with different theta dependence, one behaving as a dilute instanton
gas and the other dominated by the traditional large N picture, where
instantons reappear as resonances of the one-loop effective action, even in the
absence of regular instantonic solutions. The realms of the two regimes are
given in terms of the mass gap m by m^2 V << N and m^2 V >> N, respectively.
The small volume regime m^2 V << N is relevant for physical effects associated
to the physics of the boundary, like the leading role of edge states in the
quantum Hall effect, which, however, do not play any role in the thermodynamic
limit at large N. Depending on the order in which the limits N -> \infty and V
-> \infty are taken, two different theories are obtained; this is the hallmark
of a phase transition at 1/N = 0.
| [
{
"created": "Tue, 14 Sep 2010 11:09:59 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Dec 2010 21:32:28 GMT",
"version": "v2"
}
] | 2011-03-07 | [
[
"Aguado",
"Miguel",
""
],
[
"Asorey",
"Manuel",
""
]
] | The theta dependence of the vacuum energy density in CP^{N-1} models is re-analysed in the semiclassical approach, the 1/N expansion and arguments based on the nodal structure of vacuum wavefunctionals. The 1/N expansion is shown not to be in contradiction with instanton physics at finite (spacetime) volume V. The interplay of large volume V and large N parameter gives rise to two regimes with different theta dependence, one behaving as a dilute instanton gas and the other dominated by the traditional large N picture, where instantons reappear as resonances of the one-loop effective action, even in the absence of regular instantonic solutions. The realms of the two regimes are given in terms of the mass gap m by m^2 V << N and m^2 V >> N, respectively. The small volume regime m^2 V << N is relevant for physical effects associated to the physics of the boundary, like the leading role of edge states in the quantum Hall effect, which, however, do not play any role in the thermodynamic limit at large N. Depending on the order in which the limits N -> \infty and V -> \infty are taken, two different theories are obtained; this is the hallmark of a phase transition at 1/N = 0. |
1112.3338 | Yoske Sumitomo | Xingang Chen, Gary Shiu, Yoske Sumitomo, S.-H. Henry Tye | A Global View on The Search for de-Sitter Vacua in (type IIA) String
Theory | 23 pages, 5 figures; v2, v3: arguments improved, references added;
v4: version to appear in JHEP | null | 10.1007/JHEP04(2012)026 | MAD-TH-11-10 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The search for classically stable Type IIA de-Sitter vacua typically starts
with an ansatz that gives Anti-de-Sitter supersymmetric vacua and then raises
the cosmological constant by modifying the compactification. As one raises the
cosmological constant, the couplings typically destabilize the classically
stable vacuum, so the probability that this approach will lead to a classically
stable de-Sitter vacuum is Gaussianly suppressed. This suggests that
classically stable de-Sitter vacua in string theory (at least in the Type IIA
region), especially those with relatively high cosmological constants, are very
rare. The probability that a typical de-Sitter extremum is classically stable
(i.e., tachyon-free) is argued to be Gaussianly suppressed as a function of the
number of moduli.
| [
{
"created": "Wed, 14 Dec 2011 20:58:03 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Dec 2011 16:26:18 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Jan 2012 17:00:27 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Apr 2012 08:49:26 GMT",
"version": "v4"
}
] | 2015-06-03 | [
[
"Chen",
"Xingang",
""
],
[
"Shiu",
"Gary",
""
],
[
"Sumitomo",
"Yoske",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] | The search for classically stable Type IIA de-Sitter vacua typically starts with an ansatz that gives Anti-de-Sitter supersymmetric vacua and then raises the cosmological constant by modifying the compactification. As one raises the cosmological constant, the couplings typically destabilize the classically stable vacuum, so the probability that this approach will lead to a classically stable de-Sitter vacuum is Gaussianly suppressed. This suggests that classically stable de-Sitter vacua in string theory (at least in the Type IIA region), especially those with relatively high cosmological constants, are very rare. The probability that a typical de-Sitter extremum is classically stable (i.e., tachyon-free) is argued to be Gaussianly suppressed as a function of the number of moduli. |
hep-th/0411275 | Carsten Krueger | Carsten Krueger | Exact Operator Quantization of the Euclidean Black Hole CFT | 25 pages, typos corrected, acknowledgements added | null | null | null | hep-th | null | We present an exact operator quantization of the Euclidean Black Hole CFT
using a recently established free field parametrization of the fundamental
fields of the classical theory [4,5,6,7]. Quantizing the map to free fields, we
show that the resulting quantum fields are causal and transform as covariant
fields w.r.t. the Virasoro algebra. We construct the reflection operator of the
quantum theory and demonstrate its unitarity. We furthermore discuss the
W-algebra of the Euclidean Black Hole model. It turns out that unitarity of the
reflection operator is a simple consequence of the fact that certain
representations of the W-algebra are unitarily equivalent.
| [
{
"created": "Tue, 30 Nov 2004 14:10:22 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 2004 17:23:09 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Krueger",
"Carsten",
""
]
] | We present an exact operator quantization of the Euclidean Black Hole CFT using a recently established free field parametrization of the fundamental fields of the classical theory [4,5,6,7]. Quantizing the map to free fields, we show that the resulting quantum fields are causal and transform as covariant fields w.r.t. the Virasoro algebra. We construct the reflection operator of the quantum theory and demonstrate its unitarity. We furthermore discuss the W-algebra of the Euclidean Black Hole model. It turns out that unitarity of the reflection operator is a simple consequence of the fact that certain representations of the W-algebra are unitarily equivalent. |
hep-th/0111037 | Igor O. Cherednikov | Igor O. Cherednikov | Casimir Energy of Confined Fields: A Role of the RG Invariance | 5 pages, ijmpa1.sty. Talk at the conference QFEXT01, 10-14 Sep 2001,
Leipzig. Version to be published in IJMPA | Int.J.Mod.Phys. A17 (2002) 874-878 | 10.1142/S0217751X02010248 | null | hep-th hep-ph quant-ph | null | A role of the renormalization group invariance in calculations of the ground
state energy for models with confined fermion fields is discussed. The case of
the (1+1)D MIT bag with massive fermions is studied in detail.
| [
{
"created": "Mon, 5 Nov 2001 19:09:25 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2001 16:45:48 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Cherednikov",
"Igor O.",
""
]
] | A role of the renormalization group invariance in calculations of the ground state energy for models with confined fermion fields is discussed. The case of the (1+1)D MIT bag with massive fermions is studied in detail. |
2003.03120 | Simone Zoia | Simon Caron-Huot, Dmitry Chicherin, Johannes Henn, Yang Zhang, Simone
Zoia | Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N}
= 4$ Super Yang-Mills and $\mathcal{N} = 8$ Supergravity | 60 pages, 4 figures; v2: typos corrected, functional expressions of
the hard functions provided | null | 10.1007/JHEP10(2020)188 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In previous work, the two-loop five-point amplitudes in $\mathcal{N}=4$ super
Yang-Mills theory and $\mathcal{N}=8$ supergravity were computed at symbol
level. In this paper, we compute the full functional form. The amplitudes are
assembled and simplified using the analytic expressions of the two-loop
pentagon integrals in the physical scattering region. We provide the explicit
functional expressions, and a numerical reference point in the scattering
region. We then calculate the multi-Regge limit of both amplitudes. The result
is written in terms of an explicit transcendental function basis. For certain
non-planar colour structures of the $\mathcal{N}=4$ super Yang-Mills amplitude,
we perform an independent calculation based on the BFKL effective theory. We
find perfect agreement. We comment on the analytic properties of the
amplitudes.
| [
{
"created": "Fri, 6 Mar 2020 10:23:11 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2020 16:12:58 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Caron-Huot",
"Simon",
""
],
[
"Chicherin",
"Dmitry",
""
],
[
"Henn",
"Johannes",
""
],
[
"Zhang",
"Yang",
""
],
[
"Zoia",
"Simone",
""
]
] | In previous work, the two-loop five-point amplitudes in $\mathcal{N}=4$ super Yang-Mills theory and $\mathcal{N}=8$ supergravity were computed at symbol level. In this paper, we compute the full functional form. The amplitudes are assembled and simplified using the analytic expressions of the two-loop pentagon integrals in the physical scattering region. We provide the explicit functional expressions, and a numerical reference point in the scattering region. We then calculate the multi-Regge limit of both amplitudes. The result is written in terms of an explicit transcendental function basis. For certain non-planar colour structures of the $\mathcal{N}=4$ super Yang-Mills amplitude, we perform an independent calculation based on the BFKL effective theory. We find perfect agreement. We comment on the analytic properties of the amplitudes. |
hep-th/9703044 | Park Dhal | Youngjai Kiem, Chang-Yeong Lee and Dahl Park | Exactly solvable charged dilaton gravity theories in two dimensions | The introductory part is changed. a version to appear in Class.
Quant. Grav. 6 pages, RevTeX | Class.Quant.Grav. 15 (1998) 2973-2979 | 10.1088/0264-9381/15/10/007 | null | hep-th | null | We find exactly solvable dilaton gravity theories containing a U(1) gauge
field in two dimensional space-time. The classical general solutions for the
gravity sector (the metric plus the dilaton field) of the theories coupled to a
massless complex scalar field are obtained in terms of the stress-energy tensor
and the U(1) current of the scalar field. We discuss issues that arise when we
attempt to use these models for the study of the gravitational back-reaction.
| [
{
"created": "Thu, 6 Mar 1997 12:17:15 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 1998 07:39:57 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Oct 1998 04:47:53 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Kiem",
"Youngjai",
""
],
[
"Lee",
"Chang-Yeong",
""
],
[
"Park",
"Dahl",
""
]
] | We find exactly solvable dilaton gravity theories containing a U(1) gauge field in two dimensional space-time. The classical general solutions for the gravity sector (the metric plus the dilaton field) of the theories coupled to a massless complex scalar field are obtained in terms of the stress-energy tensor and the U(1) current of the scalar field. We discuss issues that arise when we attempt to use these models for the study of the gravitational back-reaction. |
1712.07045 | Stam Nicolis | Stam Nicolis | Probing the holomorphic anomaly of the $D=2, \mathcal{N}=2$, Wess-Zumino
model on the lattice | 8 pages, LaTeX2e, 2 PNG figures. Written contribution to the
conference "Supersymmetries and Quantum Symmetries-SQS'2017", Dubna, 31
July-5 August 2017 | Phys. Part. Nuclei (2018) 49: 899 | 10.1134/S1063779618050313 | null | hep-th cond-mat.stat-mech hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a generalization of the Langevin equation, that describes
fluctuations, of commuting degrees of freedom, for scalar field theories with
worldvolumes of arbitrary dimension, following Parisi and Sourlas and
correspondingly generalizes the Nicolai map. Supersymmetry appears inevitably,
as defining the consistent closure of system+fluctuations and it can be probed
by the identities satisfied by the correlation functions of the noise fields,
sampled by the action of the commuting fields. This can be done effectively,
through numerical simulations.
We focus on the case where the target space is invariant under global
rotations, in Euclidian signature, corresponding to global Lorentz
transformations, in Lorentzian signature. This can describe target space
supersymmetry.
In this case a cross--term, that is a total derivative for abelian
isometries, or when the fields are holomorphic functions of their arguments,
can lead to obstructions. We study its effects and find that, in two
dimensions, it cannot lead to the appearance of the holomorphic anomaly, in any
event, when fluctuations are taken into account, because continuous symmetries
can't be broken in two dimensions.
| [
{
"created": "Tue, 19 Dec 2017 16:56:47 GMT",
"version": "v1"
}
] | 2018-10-15 | [
[
"Nicolis",
"Stam",
""
]
] | We study a generalization of the Langevin equation, that describes fluctuations, of commuting degrees of freedom, for scalar field theories with worldvolumes of arbitrary dimension, following Parisi and Sourlas and correspondingly generalizes the Nicolai map. Supersymmetry appears inevitably, as defining the consistent closure of system+fluctuations and it can be probed by the identities satisfied by the correlation functions of the noise fields, sampled by the action of the commuting fields. This can be done effectively, through numerical simulations. We focus on the case where the target space is invariant under global rotations, in Euclidian signature, corresponding to global Lorentz transformations, in Lorentzian signature. This can describe target space supersymmetry. In this case a cross--term, that is a total derivative for abelian isometries, or when the fields are holomorphic functions of their arguments, can lead to obstructions. We study its effects and find that, in two dimensions, it cannot lead to the appearance of the holomorphic anomaly, in any event, when fluctuations are taken into account, because continuous symmetries can't be broken in two dimensions. |
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