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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0702072
|
Alejandra Castro
|
Alejandra Castro, Joshua L. Davis, Per Kraus, Finn Larsen
|
5D Attractors with Higher Derivatives
|
18 pages, harvmac
|
JHEP 0704:091,2007
|
10.1088/1126-6708/2007/04/091
| null |
hep-th
| null |
We analyze higher derivative corrections to attractor geometries in five
dimensions. We find corrected AdS_3xS^2 geometries by solving the equations of
motion coming from a recently constructed four-derivative supergravity action
in five dimensions. The result allows us to explicitly verify a previous
anomaly based derivation of the AdS_3 central charges of this theory. Also, by
dimensional reduction we compare our results with those of the 4D higher
derivative attractor, and find complete agreement.
|
[
{
"created": "Fri, 9 Feb 2007 16:53:49 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Feb 2007 21:44:01 GMT",
"version": "v2"
}
] |
2010-10-27
|
[
[
"Castro",
"Alejandra",
""
],
[
"Davis",
"Joshua L.",
""
],
[
"Kraus",
"Per",
""
],
[
"Larsen",
"Finn",
""
]
] |
We analyze higher derivative corrections to attractor geometries in five dimensions. We find corrected AdS_3xS^2 geometries by solving the equations of motion coming from a recently constructed four-derivative supergravity action in five dimensions. The result allows us to explicitly verify a previous anomaly based derivation of the AdS_3 central charges of this theory. Also, by dimensional reduction we compare our results with those of the 4D higher derivative attractor, and find complete agreement.
|
hep-th/0507054
|
Pawel Maslanka
|
C.Gonera, P.Kosinski, P.Maslanka, S.Giller
|
Global Symmetries of Noncommutative Space-time
|
7 pages, no figures; minor changes in the bibliography; final version
accepted for publication in Phys. Rev.D
|
Phys.Rev. D72 (2005) 067702
|
10.1103/PhysRevD.72.067702
| null |
hep-th
| null |
The global counterpart of infinitesimal symmetries of noncommutative
space-time is discussed.
|
[
{
"created": "Wed, 6 Jul 2005 12:56:23 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Aug 2005 09:46:24 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Gonera",
"C.",
""
],
[
"Kosinski",
"P.",
""
],
[
"Maslanka",
"P.",
""
],
[
"Giller",
"S.",
""
]
] |
The global counterpart of infinitesimal symmetries of noncommutative space-time is discussed.
|
1810.02332
|
Junggi Yoon
|
Robert de Mello Koch, Antal Jevicki, Kenta Suzuki and Junggi Yoon
|
AdS Maps and Diagrams of Bi-local Holography
|
23 pages plus appendices, 3 figures; v2: various improvements,
references and comments added, minor typos corrected
| null |
10.1007/JHEP03(2019)133
|
BROWN-HET-1769, KIAS-P18094
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present in detail the basic ingredients contained in bi-local holography,
representing a constructive scheme for reconstructing AdS bulk theories in
Vectorial/AdS duality. Explicit Mapping to bulk AdS and higher spin fields is
seen to be given by a double Fourier transform. All order interactions are
explicitly specified through the collective action. This generates bulk Feynman
(Witten) diagrams (at tree and loop level). We give details of the four-point
case evaluation. It is noted that the bi-local construction goes beyond the
assumptions in various discussions of non-locality.
|
[
{
"created": "Thu, 4 Oct 2018 17:26:17 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Nov 2018 10:54:24 GMT",
"version": "v2"
}
] |
2019-05-01
|
[
[
"Koch",
"Robert de Mello",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Suzuki",
"Kenta",
""
],
[
"Yoon",
"Junggi",
""
]
] |
We present in detail the basic ingredients contained in bi-local holography, representing a constructive scheme for reconstructing AdS bulk theories in Vectorial/AdS duality. Explicit Mapping to bulk AdS and higher spin fields is seen to be given by a double Fourier transform. All order interactions are explicitly specified through the collective action. This generates bulk Feynman (Witten) diagrams (at tree and loop level). We give details of the four-point case evaluation. It is noted that the bi-local construction goes beyond the assumptions in various discussions of non-locality.
|
1809.05044
|
Mohammad Reza Tanhayi
|
Mohammad Reza Tanhayi, Reyhaneh Vazirian and S. Khoeini-Moghaddam
|
Complexity Growth Following Multiple Shocks
|
19 pages, 3 figs, Ref.s added
|
Physics Letters B 790 (2019)49-57
|
10.1016/j.physletb.2018.12.067
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper by making use of the "Complexity=Action" proposal, we study the
complexity growth after shock waves in holographic field theories. We consider
both double black hole-Vaidya and AdS-Vaidya with multiple shocks geometries.
We find that the Lloyd's bound is respected during the thermalization process
in each of these geometries and at the late time, the complexity growth
saturates to the value which is proportional to the energy of the final state.
We conclude that the saturation value of complexity growth rate is independent
of the initial temperature and in the case of thermal initial state, the rate
of complexity is always less than the value for the vacuum initial state such
that considering multiple shocks it gets more smaller. Our results indicate
that by increasing the temperature of the initial state, the corresponding rate
of complexity growth starts far from final saturation rate value.
|
[
{
"created": "Thu, 13 Sep 2018 16:23:07 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Oct 2018 16:15:54 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jan 2019 20:11:29 GMT",
"version": "v3"
}
] |
2019-01-31
|
[
[
"Tanhayi",
"Mohammad Reza",
""
],
[
"Vazirian",
"Reyhaneh",
""
],
[
"Khoeini-Moghaddam",
"S.",
""
]
] |
In this paper by making use of the "Complexity=Action" proposal, we study the complexity growth after shock waves in holographic field theories. We consider both double black hole-Vaidya and AdS-Vaidya with multiple shocks geometries. We find that the Lloyd's bound is respected during the thermalization process in each of these geometries and at the late time, the complexity growth saturates to the value which is proportional to the energy of the final state. We conclude that the saturation value of complexity growth rate is independent of the initial temperature and in the case of thermal initial state, the rate of complexity is always less than the value for the vacuum initial state such that considering multiple shocks it gets more smaller. Our results indicate that by increasing the temperature of the initial state, the corresponding rate of complexity growth starts far from final saturation rate value.
|
1812.03387
|
Mikhail Litvinov
|
S. Alekseev, M. Litvinov
|
On resummation of the irregular conformal block
|
11 pages
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the resummation procedure of the superpotential in 4d
$\mathcal{N}=2$ SYM theory without matter from the point of view of 2d
Liouville conformal field theory, utilizing the AGT correspondence. We identify
contributions of different descendants of the intermediate state, defining a
conformal block in CFT, to the superpotential and answer the question, which
descendants are responsible for the appearance of the branch cuts in the
superpotential.
|
[
{
"created": "Sat, 8 Dec 2018 21:31:18 GMT",
"version": "v1"
}
] |
2018-12-11
|
[
[
"Alekseev",
"S.",
""
],
[
"Litvinov",
"M.",
""
]
] |
We discuss the resummation procedure of the superpotential in 4d $\mathcal{N}=2$ SYM theory without matter from the point of view of 2d Liouville conformal field theory, utilizing the AGT correspondence. We identify contributions of different descendants of the intermediate state, defining a conformal block in CFT, to the superpotential and answer the question, which descendants are responsible for the appearance of the branch cuts in the superpotential.
|
1407.5936
|
Michael Zlotnikov
|
Michael Zlotnikov
|
Sub-sub-leading soft-graviton theorem in arbitrary dimension
|
References added, 19 pages, published version
| null |
10.1007/JHEP10(2014)148
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The CHY formula which describes an $n$-point tree level scattering amplitude
for scalars, gluons or gravitons in arbitrary dimension [22], is used to prove
the sub-sub-leading soft- graviton theorem recently proposed by Cachazo and
Strominger [13].
|
[
{
"created": "Tue, 22 Jul 2014 16:43:23 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 2014 19:45:15 GMT",
"version": "v2"
},
{
"created": "Fri, 27 May 2016 19:24:58 GMT",
"version": "v3"
}
] |
2016-05-30
|
[
[
"Zlotnikov",
"Michael",
""
]
] |
The CHY formula which describes an $n$-point tree level scattering amplitude for scalars, gluons or gravitons in arbitrary dimension [22], is used to prove the sub-sub-leading soft- graviton theorem recently proposed by Cachazo and Strominger [13].
|
1212.2202
|
Andreas Stergiou
|
Jean-Fran\c{c}ois Fortin, Andreas Stergiou
|
Field-theoretic Methods in Strongly-Coupled Models of General Gauge
Mediation
|
27 pages, 5 figures. Expanded discussion, fixed typos, added
references
|
Nucl.Phys.B873:92-115,2013
|
10.1016/j.nuclphysb.2013.04.009
|
CERN-PH-TH/2012-334; SU-ITP-12/40; UCSD-PTH-12-19
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An often-exploited feature of the operator product expansion (OPE) is that it
incorporates a splitting of ultraviolet and infrared physics. In this paper we
use this feature of the OPE to perform simple, approximate computations of soft
masses in gauge-mediated supersymmetry breaking. The approximation amounts to
truncating the OPEs for hidden-sector current-current operator products. Our
method yields visible-sector superpartner spectra in terms of vacuum
expectation values of a few hidden-sector IR elementary fields. We manage to
obtain reasonable approximations to soft masses, even when the hidden sector is
strongly coupled. We demonstrate our techniques in several examples, including
a new framework where supersymmetry-breaking arises both from a hidden sector
and dynamically.
|
[
{
"created": "Mon, 10 Dec 2012 20:56:48 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2012 19:25:30 GMT",
"version": "v2"
}
] |
2013-05-06
|
[
[
"Fortin",
"Jean-François",
""
],
[
"Stergiou",
"Andreas",
""
]
] |
An often-exploited feature of the operator product expansion (OPE) is that it incorporates a splitting of ultraviolet and infrared physics. In this paper we use this feature of the OPE to perform simple, approximate computations of soft masses in gauge-mediated supersymmetry breaking. The approximation amounts to truncating the OPEs for hidden-sector current-current operator products. Our method yields visible-sector superpartner spectra in terms of vacuum expectation values of a few hidden-sector IR elementary fields. We manage to obtain reasonable approximations to soft masses, even when the hidden sector is strongly coupled. We demonstrate our techniques in several examples, including a new framework where supersymmetry-breaking arises both from a hidden sector and dynamically.
|
hep-th/0110270
|
Yoji Michishita
|
Yoji Michishita
|
Comments on D-branes on general group manifolds
|
LaTeX, 14 pages, no figures v2:minor correction and reference added
v3:minor change
|
Mod.Phys.Lett. A17 (2002) 31-42
|
10.1142/S0217732302006126
|
KIAS-P01047
|
hep-th
| null |
We investigate D-branes with maximal symmetry on general group manifolds in
terms of boundary states and effective actions. We show that in large $k$ limit
boundary states with an suitable Wilson line form boundary states of the other
types of D-branes, extending the known fact in SU(2) case. We also show that
fluctuation mass spectrum around D-brane solutions of the effective action
agrees with that of boundary CFT in large $k$ limit.
|
[
{
"created": "Tue, 30 Oct 2001 00:56:43 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Nov 2001 10:15:32 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Nov 2001 12:07:03 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Michishita",
"Yoji",
""
]
] |
We investigate D-branes with maximal symmetry on general group manifolds in terms of boundary states and effective actions. We show that in large $k$ limit boundary states with an suitable Wilson line form boundary states of the other types of D-branes, extending the known fact in SU(2) case. We also show that fluctuation mass spectrum around D-brane solutions of the effective action agrees with that of boundary CFT in large $k$ limit.
|
1011.0705
|
Alessio Marrani
|
Stefano Bellucci, Alessio Marrani, Raju Roychowdhury
|
Topics in Cubic Special Geometry
|
1+39 pages
| null |
10.1063/1.3622851
|
SU-ITP-10/32
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reconsider the sub-leading quantum perturbative corrections to N=2 cubic
special Kaehler geometries. Imposing the invariance under axion-shifts, all
such corrections (but the imaginary constant one) can be introduced or removed
through suitable, lower unitriangular symplectic transformations, dubbed
Peccei-Quinn (PQ) transformations. Since PQ transformations do not belong to
the d=4 U-duality group G4, in symmetric cases they generally have a
non-trivial action on the unique quartic invariant polynomial I4 of the charge
representation R of G4. This leads to interesting phenomena in relation to
theory of extremal black hole attractors; namely, the possibility to make
transitions between different charge orbits of R, with corresponding change of
the supersymmetry properties of the supported attractor solutions. Furthermore,
a suitable action of PQ transformations can also set I4 to zero, or vice versa
it can generate a non-vanishing I4: this corresponds to transitions between
"large" and "small" charge orbits, which we classify in some detail within the
"special coordinates" symplectic frame. Finally, after a brief account of the
action of PQ transformations on the recently established correspondence between
Cayley's hyperdeterminant and elliptic curves, we derive an equivalent,
alternative expression of I4, with relevant application to black hole entropy.
|
[
{
"created": "Tue, 2 Nov 2010 18:58:46 GMT",
"version": "v1"
}
] |
2015-05-20
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Marrani",
"Alessio",
""
],
[
"Roychowdhury",
"Raju",
""
]
] |
We reconsider the sub-leading quantum perturbative corrections to N=2 cubic special Kaehler geometries. Imposing the invariance under axion-shifts, all such corrections (but the imaginary constant one) can be introduced or removed through suitable, lower unitriangular symplectic transformations, dubbed Peccei-Quinn (PQ) transformations. Since PQ transformations do not belong to the d=4 U-duality group G4, in symmetric cases they generally have a non-trivial action on the unique quartic invariant polynomial I4 of the charge representation R of G4. This leads to interesting phenomena in relation to theory of extremal black hole attractors; namely, the possibility to make transitions between different charge orbits of R, with corresponding change of the supersymmetry properties of the supported attractor solutions. Furthermore, a suitable action of PQ transformations can also set I4 to zero, or vice versa it can generate a non-vanishing I4: this corresponds to transitions between "large" and "small" charge orbits, which we classify in some detail within the "special coordinates" symplectic frame. Finally, after a brief account of the action of PQ transformations on the recently established correspondence between Cayley's hyperdeterminant and elliptic curves, we derive an equivalent, alternative expression of I4, with relevant application to black hole entropy.
|
hep-th/9407167
|
Igor Klebanov
|
Igor R. Klebanov
|
Touching Random Surfaces and Liouville Gravity
|
15 pages, PUPT-1486 (last paragraph of sec. 2 revised)
|
Phys. Rev. D 51, 1836 (1995)
|
10.1103/PhysRevD.51.1836
| null |
hep-th
| null |
Large $N$ matrix models modified by terms of the form $ g(\Tr\Phi^n)^2$
generate random surfaces which touch at isolated points. Matrix model results
indicate that, as $g$ is increased to a special value $g_t$, the string
susceptibility exponent suddenly jumps from its conventional value $\gamma$ to
${\gamma\over\gamma-1}$. We study this effect in \L\ gravity and attribute it
to a change of the interaction term from $O e^{\alpha_+ \phi}$ for $g<g_t$ to
$O e^{\alpha_- \phi}$ for $g=g_t$ ($\alpha_+$ and $\alpha_-$ are the two roots
of the conformal invariance condition for the \L\ dressing of a matter operator
$O$). Thus, the new critical behavior is explained by the unconventional branch
of \L\ dressing in the action.
|
[
{
"created": "Mon, 25 Jul 1994 20:43:37 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Aug 1994 21:04:38 GMT",
"version": "v2"
}
] |
2016-08-24
|
[
[
"Klebanov",
"Igor R.",
""
]
] |
Large $N$ matrix models modified by terms of the form $ g(\Tr\Phi^n)^2$ generate random surfaces which touch at isolated points. Matrix model results indicate that, as $g$ is increased to a special value $g_t$, the string susceptibility exponent suddenly jumps from its conventional value $\gamma$ to ${\gamma\over\gamma-1}$. We study this effect in \L\ gravity and attribute it to a change of the interaction term from $O e^{\alpha_+ \phi}$ for $g<g_t$ to $O e^{\alpha_- \phi}$ for $g=g_t$ ($\alpha_+$ and $\alpha_-$ are the two roots of the conformal invariance condition for the \L\ dressing of a matter operator $O$). Thus, the new critical behavior is explained by the unconventional branch of \L\ dressing in the action.
|
1607.01244
|
Vladimir Ivashchuk
|
V. D. Ivashchuk
|
On stability of exponential cosmological solutions with non-static
volume factor in the Einstein-Gauss-Bonnet model
|
20 pages, no figures, LaTex; two Remarks (1 and 4) and 7 references
are added
| null |
10.1140/epjc/s10052-016-4284-5
|
IGC-RUDN-16-07/1r
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A (n+1)-dimensional gravitational model with Gauss-Bonnet term and
cosmological constant term is considered. When ansatz with diagonal
cosmological metrics is adopted, the solutions with exponential dependence of
scale factors: a_i ~ exp( v^i t), i = 1, ..., n, are analysed for n > 3. We
study the stability of the solutions with non-static volume factor, i.e. if
K(v) = \sum_{k = 1}^{n} v^k \neq 0. We prove that under certain restriction R
imposed solutions with K(v) > 0 are stable while solutions with K(v) < 0 are
unstable. Certain examples of stable solutions are presented. We show that the
solutions with v^1 = v^2 = v^3 = H > 0 and zero variation of the effective
gravitational constant are stable if the restriction R is obeyed.
|
[
{
"created": "Tue, 5 Jul 2016 13:27:08 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jul 2016 18:41:33 GMT",
"version": "v2"
}
] |
2016-08-24
|
[
[
"Ivashchuk",
"V. D.",
""
]
] |
A (n+1)-dimensional gravitational model with Gauss-Bonnet term and cosmological constant term is considered. When ansatz with diagonal cosmological metrics is adopted, the solutions with exponential dependence of scale factors: a_i ~ exp( v^i t), i = 1, ..., n, are analysed for n > 3. We study the stability of the solutions with non-static volume factor, i.e. if K(v) = \sum_{k = 1}^{n} v^k \neq 0. We prove that under certain restriction R imposed solutions with K(v) > 0 are stable while solutions with K(v) < 0 are unstable. Certain examples of stable solutions are presented. We show that the solutions with v^1 = v^2 = v^3 = H > 0 and zero variation of the effective gravitational constant are stable if the restriction R is obeyed.
|
2109.14014
|
Weizhen Jia
|
Weizhen Jia and Manthos Karydas
|
Obstruction Tensors in Weyl Geometry and Holographic Weyl Anomaly
|
37 pages; v3: minor typos fixed
|
Phys. Rev. D 104, 126031 (2021)
|
10.1103/PhysRevD.104.126031
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Recently a generalization of the Fefferman-Graham gauge for asymptotically
locally AdS spacetimes, called the Weyl-Fefferman-Graham (WFG) gauge, has been
proposed. It was shown that the WFG gauge induces a Weyl geometry on the
conformal boundary. The Weyl geometry consists of a metric and a Weyl
connection. Thus, this is a useful setting for studying dual field theories
with background Weyl symmetry. Working in the WFG formalism, we find the
generalization of obstruction tensors, which are Weyl-covariant tensors that
appear as poles in the Fefferman-Graham expansion of the bulk metric for even
boundary dimensions. We see that these Weyl-obstruction tensors can be used as
building blocks for the Weyl anomaly of the dual field theory. We then compute
the Weyl anomaly for $6d$ and $8d$ field theories in the Weyl-Fefferman-Graham
formalism, and find that the contribution from the Weyl structure in the bulk
appears as cohomologically trivial modifications. Expressed in terms of the
Weyl-Schouten tensor and extended Weyl-obstruction tensors, the results of the
holographic Weyl anomaly up to $8d$ also reveal hints on its expression in any
dimension.
|
[
{
"created": "Tue, 28 Sep 2021 20:11:39 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 2021 19:12:19 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Oct 2022 17:11:15 GMT",
"version": "v3"
}
] |
2022-10-05
|
[
[
"Jia",
"Weizhen",
""
],
[
"Karydas",
"Manthos",
""
]
] |
Recently a generalization of the Fefferman-Graham gauge for asymptotically locally AdS spacetimes, called the Weyl-Fefferman-Graham (WFG) gauge, has been proposed. It was shown that the WFG gauge induces a Weyl geometry on the conformal boundary. The Weyl geometry consists of a metric and a Weyl connection. Thus, this is a useful setting for studying dual field theories with background Weyl symmetry. Working in the WFG formalism, we find the generalization of obstruction tensors, which are Weyl-covariant tensors that appear as poles in the Fefferman-Graham expansion of the bulk metric for even boundary dimensions. We see that these Weyl-obstruction tensors can be used as building blocks for the Weyl anomaly of the dual field theory. We then compute the Weyl anomaly for $6d$ and $8d$ field theories in the Weyl-Fefferman-Graham formalism, and find that the contribution from the Weyl structure in the bulk appears as cohomologically trivial modifications. Expressed in terms of the Weyl-Schouten tensor and extended Weyl-obstruction tensors, the results of the holographic Weyl anomaly up to $8d$ also reveal hints on its expression in any dimension.
|
hep-th/0507276
|
Pulakranjan Giri
|
Pulak Ranjan Giri
|
Dirac spinors in solenoidal field and self adjoint extensions of its
Hamiltonian
|
6 pages, no figure, Will appear in Mod. Phys. Lett A
|
Mod.Phys.Lett.A23:2177-2188,2008
|
10.1142/S0217732308026315
|
SINP/TNP/05-19
|
hep-th
| null |
We discuss Dirac equation (DE) and its solution in presence of solenoid
(infinitely long) field in (3+1) dimensions. Starting with a very restricted
domain for the Hamiltonian, we show that a 1-parameter family of self adjoint
extensions (SAE) are necessary to make sure the correct evolution of the Dirac
spinors. Within the extended domain bound state (BS) and scattering state (SS)
solutions are obtained. We argue that the existence of bound state in such
system is basically due the breaking of classical scaling symmetry by the
quantization procedure. A remarkable effect of the scaling anomaly is that it
puts an open bound on both sides of the Dirac sea, i.e., E\in(-M,M) for
\nu^2[0,1)! We also study the issue of relationship between scattering state
and bound state in the region \nu^2 \in[0,1) and recovered the bound state
solution and eigenvalue from the scattering state solution.
|
[
{
"created": "Thu, 28 Jul 2005 06:25:08 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jul 2007 13:22:37 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Jan 2008 10:13:31 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Giri",
"Pulak Ranjan",
""
]
] |
We discuss Dirac equation (DE) and its solution in presence of solenoid (infinitely long) field in (3+1) dimensions. Starting with a very restricted domain for the Hamiltonian, we show that a 1-parameter family of self adjoint extensions (SAE) are necessary to make sure the correct evolution of the Dirac spinors. Within the extended domain bound state (BS) and scattering state (SS) solutions are obtained. We argue that the existence of bound state in such system is basically due the breaking of classical scaling symmetry by the quantization procedure. A remarkable effect of the scaling anomaly is that it puts an open bound on both sides of the Dirac sea, i.e., E\in(-M,M) for \nu^2[0,1)! We also study the issue of relationship between scattering state and bound state in the region \nu^2 \in[0,1) and recovered the bound state solution and eigenvalue from the scattering state solution.
|
hep-th/0003006
|
Connes
|
Alain Connes
|
A Short Survey of Noncommutative Geometry
|
Invited lecture for JMP 2000, 45p
|
J.Math.Phys. 41 (2000) 3832-3866
|
10.1063/1.533329
| null |
hep-th math.QA
| null |
We give a survey of selected topics in noncommutative geometry, with some
emphasis on those directly related to physics, including our recent work with
Dirk Kreimer on renormalization and the Riemann-Hilbert problem. We discuss at
length two issues. The first is the relevance of the paradigm of geometric
space, based on spectral considerations, which is central in the theory. As a
simple illustration of the spectral formulation of geometry in the ordinary
commutative case, we give a polynomial equation for geometries on the four
dimensional sphere with fixed volume. The equation involves an idempotent e,
playing the role of the instanton, and the Dirac operator D. It expresses the
gamma five matrix as the pairing between the operator theoretic chern
characters of e and D. It is of degree five in the idempotent and four in the
Dirac operator which only appears through its commutant with the idempotent. It
determines both the sphere and all its metrics with fixed volume form.
We also show using the noncommutative analogue of the Polyakov action, how to
obtain the noncommutative metric (in spectral form) on the noncommutative tori
from the formal naive metric. We conclude on some questions related to string
theory.
|
[
{
"created": "Wed, 1 Mar 2000 20:16:03 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Connes",
"Alain",
""
]
] |
We give a survey of selected topics in noncommutative geometry, with some emphasis on those directly related to physics, including our recent work with Dirk Kreimer on renormalization and the Riemann-Hilbert problem. We discuss at length two issues. The first is the relevance of the paradigm of geometric space, based on spectral considerations, which is central in the theory. As a simple illustration of the spectral formulation of geometry in the ordinary commutative case, we give a polynomial equation for geometries on the four dimensional sphere with fixed volume. The equation involves an idempotent e, playing the role of the instanton, and the Dirac operator D. It expresses the gamma five matrix as the pairing between the operator theoretic chern characters of e and D. It is of degree five in the idempotent and four in the Dirac operator which only appears through its commutant with the idempotent. It determines both the sphere and all its metrics with fixed volume form. We also show using the noncommutative analogue of the Polyakov action, how to obtain the noncommutative metric (in spectral form) on the noncommutative tori from the formal naive metric. We conclude on some questions related to string theory.
|
hep-th/9608104
|
Esperanza Lopez
|
C. Gomez, R. Hernandez and E. Lopez
|
$K3$-Fibrations and Softly Broken $N=4$ Supersymmetric Gauge Theories
|
27 pages, Latex, no figures. Misprints corrected
|
Nucl.Phys. B501 (1997) 109-133
|
10.1016/S0550-3213(97)00336-2
|
NSF-ITP-96-75
|
hep-th
| null |
Global geometry of $K3$-fibration Calabi-Yau threefolds, with Hodge number
$h_{2,1}=r+1$, is used to define $N=4$ softly broken $SU(r+1)$ gauge theories,
with the bare coupling constant given by the dual heterotic dilaton, and the
mass of the adjoint hypermultiplet given by the heterotic string tension. The
$U(r+1)$ Donagi-Witten integrable model is also derived from the $K3$-fibration
structure, with the extra $U(1)$ associated to the heterotic dilaton. The case
of $SU(2)$ gauge group is analyzed in detail. String physics beyond the
heterotic point particle limit is partially described by the $N=4$ softly
broken theory.
|
[
{
"created": "Thu, 15 Aug 1996 21:27:50 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Aug 1996 21:26:09 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Gomez",
"C.",
""
],
[
"Hernandez",
"R.",
""
],
[
"Lopez",
"E.",
""
]
] |
Global geometry of $K3$-fibration Calabi-Yau threefolds, with Hodge number $h_{2,1}=r+1$, is used to define $N=4$ softly broken $SU(r+1)$ gauge theories, with the bare coupling constant given by the dual heterotic dilaton, and the mass of the adjoint hypermultiplet given by the heterotic string tension. The $U(r+1)$ Donagi-Witten integrable model is also derived from the $K3$-fibration structure, with the extra $U(1)$ associated to the heterotic dilaton. The case of $SU(2)$ gauge group is analyzed in detail. String physics beyond the heterotic point particle limit is partially described by the $N=4$ softly broken theory.
|
2101.01807
|
Jnanadeva Maharana
|
Jnanadeva Maharana
|
Analyticity Properties of Scattering Amplitude in Theories with
Compactified Space Dimensions: The Proof of Dispersion Relations
|
arXiv admin note: substantial text overlap with arXiv:2003.14330,
arXiv:1810.11275
| null |
10.1142/S0217751X21300040
| null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
The analyticity properties of the scattering amplitude for a massive scalar
field is reviewed in this article where the spacetime geometry is
$R^{3,1}\otimes S^1$ i.e. one spatial dimension is compact. Khuri investigated
the analyticity of scattering amplitude in a nonrelativitstic potential model
in three dimensions with an additional compact dimension. He showed that, under
certain circumstances, the forward amplitude is nonanalytic. He argued that in
high energy scattering if such a behaviour persists it would be in conflicts
with the established results of quantum field theory and LHC might observe such
behaviors. We envisage a real scalar massive field in flat Minkowski spacetime
in five dimensions. The Kaluza-Klein (KK) compactification is implemented on a
circle. The resulting four dimensional manifold is $R^{3,1}\otimes S^1$. The
LSZ formalism is adopted to study the analyticity of the scattering amplitude.
The nonforward dispersion relation is proved. In addition the Jin-Martin bound
and an analog of the Froissart-Martin bound are proved. A novel proposal is
presented to look for evidence of the large-radius-compactification scenario. A
seemingly violation of Froissart-Martin bound at LHC energy might hint that an
extra dimension might be decompactified. However, we find no evidence for
violation of the bound in our analysis.
|
[
{
"created": "Tue, 29 Dec 2020 10:03:16 GMT",
"version": "v1"
}
] |
2021-02-24
|
[
[
"Maharana",
"Jnanadeva",
""
]
] |
The analyticity properties of the scattering amplitude for a massive scalar field is reviewed in this article where the spacetime geometry is $R^{3,1}\otimes S^1$ i.e. one spatial dimension is compact. Khuri investigated the analyticity of scattering amplitude in a nonrelativitstic potential model in three dimensions with an additional compact dimension. He showed that, under certain circumstances, the forward amplitude is nonanalytic. He argued that in high energy scattering if such a behaviour persists it would be in conflicts with the established results of quantum field theory and LHC might observe such behaviors. We envisage a real scalar massive field in flat Minkowski spacetime in five dimensions. The Kaluza-Klein (KK) compactification is implemented on a circle. The resulting four dimensional manifold is $R^{3,1}\otimes S^1$. The LSZ formalism is adopted to study the analyticity of the scattering amplitude. The nonforward dispersion relation is proved. In addition the Jin-Martin bound and an analog of the Froissart-Martin bound are proved. A novel proposal is presented to look for evidence of the large-radius-compactification scenario. A seemingly violation of Froissart-Martin bound at LHC energy might hint that an extra dimension might be decompactified. However, we find no evidence for violation of the bound in our analysis.
|
0804.0184
|
Yoshihiro Mitsuka
|
Yoshihiro Mitsuka
|
Liouville Equation in 1/8 BPS Geometries
|
22 pages, v2: minor changes, references added, v3: published version,
clarifications in Sec. 1 and at the beginning of Sec. 3, minor corrections
|
JHEP0809:100,2008
|
10.1088/1126-6708/2008/09/100
|
UT-Komaba/08-9
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the 1/8 BPS geometries with SU(2) x U(1) x SO(4) x R symmetry
in IIB supergravity which were classified by Gava et al, (hep-th/0611065). It
is desirable to have a complete set of differential equations imposed on the
controlling functions such that they are not only necessary but also sufficient
to produce supergravity solutions with those symmetries. We work on this issue
and find a new differential equation for the controlling functions. For a
special case, we exhaust all the remaining constraints and show that they
reduce to one Liouville equation. The solutions of this equation produce
geometries which are locally equivalent to the near horizon geometries of
intersecting D3-branes.
|
[
{
"created": "Tue, 1 Apr 2008 15:40:51 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2008 16:47:44 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Sep 2008 15:49:05 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Mitsuka",
"Yoshihiro",
""
]
] |
We investigate the 1/8 BPS geometries with SU(2) x U(1) x SO(4) x R symmetry in IIB supergravity which were classified by Gava et al, (hep-th/0611065). It is desirable to have a complete set of differential equations imposed on the controlling functions such that they are not only necessary but also sufficient to produce supergravity solutions with those symmetries. We work on this issue and find a new differential equation for the controlling functions. For a special case, we exhaust all the remaining constraints and show that they reduce to one Liouville equation. The solutions of this equation produce geometries which are locally equivalent to the near horizon geometries of intersecting D3-branes.
|
1707.09397
|
Andrei T. Patrascu
|
Andrei T. Patrascu
|
Multipartite entanglement via the Mayer-Vietoris theorem
|
2 figures
|
J. High Energ. Phys. (2017) 2017: 74
|
10.1007/JHEP10(2017)074
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The connection between entanglement and topology manifests itself in the form
of the ER-EPR duality. This statement however refers to the maximally entangled
states only. In this article I study the multipartite entanglement and the way
in which it relates to the topological interpretation of the ER-EPR duality.
The $2$ dimensional genus $1$ torus will be generalised to a $n$-dimensional
general torus, where the information about the multipartite entanglement will
be encoded in the higher inclusion maps of the Mayer-Vietorist sequence.
|
[
{
"created": "Thu, 20 Jul 2017 03:42:40 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Oct 2017 15:51:50 GMT",
"version": "v2"
}
] |
2017-10-20
|
[
[
"Patrascu",
"Andrei T.",
""
]
] |
The connection between entanglement and topology manifests itself in the form of the ER-EPR duality. This statement however refers to the maximally entangled states only. In this article I study the multipartite entanglement and the way in which it relates to the topological interpretation of the ER-EPR duality. The $2$ dimensional genus $1$ torus will be generalised to a $n$-dimensional general torus, where the information about the multipartite entanglement will be encoded in the higher inclusion maps of the Mayer-Vietorist sequence.
|
1208.3833
|
Chrysostomos Kalousios
|
George Jorjadze, Chrysostomos Kalousios, Zurab Kepuladze
|
Quantization of AdS x S particle in static gauge
|
12 pages, 1 figure, v2: a discussion section and references added,
typos corrected, published version
| null |
10.1088/0264-9381/30/2/025015
|
HU-EP-12/19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We quantize the particle dynamics in AdS_{N+1} x S^M spacetime in static
gauge, which leads to the coordinate representation with wave functions
depending only on spatial coordinates. The energy square operator is quadratic
in canonical momenta and contains a scalar curvature term. We analyze the
self-adjointness of this operator and calculate its spectrum. We then construct
unitary representations of the isometry group SO(2,N) x SO(M+1) and calculate
the quantum relation between the Casimir numbers.
|
[
{
"created": "Sun, 19 Aug 2012 13:37:09 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Dec 2012 15:50:08 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Jorjadze",
"George",
""
],
[
"Kalousios",
"Chrysostomos",
""
],
[
"Kepuladze",
"Zurab",
""
]
] |
We quantize the particle dynamics in AdS_{N+1} x S^M spacetime in static gauge, which leads to the coordinate representation with wave functions depending only on spatial coordinates. The energy square operator is quadratic in canonical momenta and contains a scalar curvature term. We analyze the self-adjointness of this operator and calculate its spectrum. We then construct unitary representations of the isometry group SO(2,N) x SO(M+1) and calculate the quantum relation between the Casimir numbers.
|
2009.09580
|
Kazutoshi Ohta
|
Kazutoshi Ohta, Norisuke Sakai
|
The Volume of the Quiver Vortex Moduli Space
|
67 pages, 13 figures, references and appendix added, typos corrected
|
Prog Theor Exp Phys (2021)
|
10.1093/ptep/ptab012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the moduli space volume of BPS vortices in quiver gauge theories on
compact Riemann surfaces. The existence of BPS vortices imposes constraints on
the quiver gauge theories. We show that the moduli space volume is given by a
vev of a suitable cohomological operator (volume operator) in a supersymmetric
quiver gauge theory, where BPS equations of the vortices are embedded. In the
supersymmetric gauge theory, the moduli space volume is exactly evaluated as a
contour integral by using the localization. Graph theory is useful to construct
the supersymmetric quiver gauge theory and to derive the volume formula. The
contour integral formula of the volume (generalization of the Jeffrey-Kirwan
residue formula) leads to the Bradlow bounds (upper bounds on the vorticity by
the area of the Riemann surface divided by the intrinsic size of the vortex).
We give some examples of various quiver gauge theories and discuss properties
of the moduli space volume in these theories. Our formula are applied to the
volume of the vortex moduli space in the gauged non-linear sigma model with
$CP^N$ target space, which is obtained by a strong coupling limit of a parent
quiver gauge theory. We also discuss a non-Abelian generalization of the quiver
gauge theory and "Abelianization" of the volume formula.
|
[
{
"created": "Mon, 21 Sep 2020 02:20:34 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Oct 2020 09:26:28 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Dec 2020 02:46:32 GMT",
"version": "v3"
}
] |
2021-03-17
|
[
[
"Ohta",
"Kazutoshi",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
We study the moduli space volume of BPS vortices in quiver gauge theories on compact Riemann surfaces. The existence of BPS vortices imposes constraints on the quiver gauge theories. We show that the moduli space volume is given by a vev of a suitable cohomological operator (volume operator) in a supersymmetric quiver gauge theory, where BPS equations of the vortices are embedded. In the supersymmetric gauge theory, the moduli space volume is exactly evaluated as a contour integral by using the localization. Graph theory is useful to construct the supersymmetric quiver gauge theory and to derive the volume formula. The contour integral formula of the volume (generalization of the Jeffrey-Kirwan residue formula) leads to the Bradlow bounds (upper bounds on the vorticity by the area of the Riemann surface divided by the intrinsic size of the vortex). We give some examples of various quiver gauge theories and discuss properties of the moduli space volume in these theories. Our formula are applied to the volume of the vortex moduli space in the gauged non-linear sigma model with $CP^N$ target space, which is obtained by a strong coupling limit of a parent quiver gauge theory. We also discuss a non-Abelian generalization of the quiver gauge theory and "Abelianization" of the volume formula.
|
1808.09976
|
Bom Soo Kim
|
Bom Soo Kim
|
Entanglement entropy and Wilson loop
|
42 pages and 7 figures. Conclusions not changed. Complete revision
including the connection to the topological winding numbers
|
Nucl. Phys. B 948 (2019) 114771
|
10.1016/j.nuclphysb.2019.114771
| null |
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study both entanglement and the R\'enyi entropies for the 2 dimensional
massless Dirac fermions in the presence of topological Wilson loops, which are
qualitatively different from those with a chemical potential and a current
source. In the language of $\mathbb{Z}_n$ orbifold theories, the Wilson loop is
interpreted as an electric operator while the orbifold twist operator as a
magnetic operator. Generalized topological transitions for the entropies are
driven by both electric and magnetic parameters via the restriction on the
operator's conformal weight. By adapting different normalizations for different
topological sectors, we achieve two goals: entanglement entropy can be obtained
with a smooth limit from the R\'enyi entropy, and the entropies are continuous
across the different topological sectors that include general Wilson loops
winding sectors. We provide exact results for the entropies in infinite space,
which depend only on the topological Wilson loops, independent of the chemical
potential and the current source.
|
[
{
"created": "Wed, 29 Aug 2018 18:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2019 16:30:20 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jul 2019 17:59:32 GMT",
"version": "v3"
}
] |
2019-10-07
|
[
[
"Kim",
"Bom Soo",
""
]
] |
We study both entanglement and the R\'enyi entropies for the 2 dimensional massless Dirac fermions in the presence of topological Wilson loops, which are qualitatively different from those with a chemical potential and a current source. In the language of $\mathbb{Z}_n$ orbifold theories, the Wilson loop is interpreted as an electric operator while the orbifold twist operator as a magnetic operator. Generalized topological transitions for the entropies are driven by both electric and magnetic parameters via the restriction on the operator's conformal weight. By adapting different normalizations for different topological sectors, we achieve two goals: entanglement entropy can be obtained with a smooth limit from the R\'enyi entropy, and the entropies are continuous across the different topological sectors that include general Wilson loops winding sectors. We provide exact results for the entropies in infinite space, which depend only on the topological Wilson loops, independent of the chemical potential and the current source.
|
2112.03317
|
Robert Shrock
|
Robert Shrock
|
Some Recent Results on Renormalization-Group Properties of Quantum Field
Theories
|
10 pages, Latex, written version of a talk given via zoom at the
XXXIII Int. Workshop on High Energy Physics, Kurchatov IHEP, to appear in the
workshop proceedings
|
SciPost Phys. Proc. 6, 005 (2022)
|
10.21468/SciPostPhysProc.6
|
YITP-SB-2021-23
|
hep-th hep-lat hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We discuss some higher-loop studies of renormalization-group flows and fixed
points in various quantum field theories.
|
[
{
"created": "Mon, 6 Dec 2021 19:16:24 GMT",
"version": "v1"
}
] |
2022-07-05
|
[
[
"Shrock",
"Robert",
""
]
] |
We discuss some higher-loop studies of renormalization-group flows and fixed points in various quantum field theories.
|
2302.14804
|
Riccardo Martini
|
Riccardo Martini, Dario Sauro, Omar Zanusso
|
Composite higher derivative operators in $d=2+\epsilon$ dimensions and
the spectrum of asymptotically safe gravity
|
Published version: 14 pages, 1 figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the renormalization of Einstein-Hilbert's gravity in
$d=2+\epsilon$ dimensions. We show that the application of the path-integral
approach leads naturally to scheme- and gauge-independent results on-shell, but
also gives a natural notion of quantum metric off-shell, which is the natural
argument of the effective action, even at the leading order in perturbation
theory. The renormalization group of Newton's constant is consistent with the
asymptotic safety scenario for quantum gravity in that it has an ultraviolet
relevant fixed point. We extend the approach to the analysis of curvature
square operators, understood as composites operators, which allows for the
determination of the spectrum of scaling operators at the scale invariant fixed
point. The analysis suggests that there is one operator that becomes relevant
close to $d=4$ dimensions, while other operators previously found in the
literature are either marginal or trivial on-shell.
|
[
{
"created": "Tue, 28 Feb 2023 17:53:42 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2024 13:44:42 GMT",
"version": "v2"
}
] |
2024-02-28
|
[
[
"Martini",
"Riccardo",
""
],
[
"Sauro",
"Dario",
""
],
[
"Zanusso",
"Omar",
""
]
] |
We discuss the renormalization of Einstein-Hilbert's gravity in $d=2+\epsilon$ dimensions. We show that the application of the path-integral approach leads naturally to scheme- and gauge-independent results on-shell, but also gives a natural notion of quantum metric off-shell, which is the natural argument of the effective action, even at the leading order in perturbation theory. The renormalization group of Newton's constant is consistent with the asymptotic safety scenario for quantum gravity in that it has an ultraviolet relevant fixed point. We extend the approach to the analysis of curvature square operators, understood as composites operators, which allows for the determination of the spectrum of scaling operators at the scale invariant fixed point. The analysis suggests that there is one operator that becomes relevant close to $d=4$ dimensions, while other operators previously found in the literature are either marginal or trivial on-shell.
|
2401.14307
|
Mathieu Giroux
|
Mathieu Giroux, Andrzej Pokraka, Franziska Porkert, Yoann Sohnle
|
The soaring kite: a tale of two punctured tori
|
59 pages, citations added and minor typos fixed
| null | null |
UUITP-03/24, BONN-TH-2024-01
|
hep-th hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the 5-mass kite family of self-energy Feynman integrals and
present a systematic approach for constructing an epsilon-form basis, along
with its differential equation pulled back onto the moduli space of two tori.
Each torus is associated with one of the two distinct elliptic curves this
family depends on. We demonstrate how the locations of relevant punctures,
which are required to parametrize the full image of the kinematic space onto
this moduli space, can be extracted from integrals over maximal cuts. A
boundary value is provided such that the differential equation is
systematically solved in terms of iterated integrals over g-kernels and modular
forms. Then, the numerical evaluation of the master integrals is discussed, and
important challenges in that regard are emphasized. In an appendix, we
introduce new relations between g-kernels.
|
[
{
"created": "Thu, 25 Jan 2024 16:54:55 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Feb 2024 01:20:42 GMT",
"version": "v2"
}
] |
2024-02-20
|
[
[
"Giroux",
"Mathieu",
""
],
[
"Pokraka",
"Andrzej",
""
],
[
"Porkert",
"Franziska",
""
],
[
"Sohnle",
"Yoann",
""
]
] |
We consider the 5-mass kite family of self-energy Feynman integrals and present a systematic approach for constructing an epsilon-form basis, along with its differential equation pulled back onto the moduli space of two tori. Each torus is associated with one of the two distinct elliptic curves this family depends on. We demonstrate how the locations of relevant punctures, which are required to parametrize the full image of the kinematic space onto this moduli space, can be extracted from integrals over maximal cuts. A boundary value is provided such that the differential equation is systematically solved in terms of iterated integrals over g-kernels and modular forms. Then, the numerical evaluation of the master integrals is discussed, and important challenges in that regard are emphasized. In an appendix, we introduce new relations between g-kernels.
|
hep-th/9507041
|
Gautam Mandal
|
Avinash Dhar, Gautam Mandal and Spenta R. Wadia
|
Discrete State Moduli of String Theory from c=1 Matrix Model
|
21 pages, latex, epsf, in 2 parts, part 2 contains 3 uuencoded
figures (one reference added, some minor typos corrected and one sentence
modified on page 17)
|
Nucl.Phys. B454 (1995) 541-560
|
10.1016/0550-3213(95)00493-C
|
CERN-TH/95-186, TIFR-TH/95-30
|
hep-th
| null |
We propose a new formulation of the space-time interpretation of the $c=1$
matrix model. Our formulation uses the well-known leg-pole factor that relates
the matrix model amplitudes to that of the 2-dimensional string theory, but
includes fluctuations around the fermi vacuum on {\sl both sides} of the
inverted harmonic oscillator potential of the double-scaled model, even when
the fluctuations are small and confined entirely within the asymptotes in the
phase plane. We argue that including fluctuations on both sides of the
potential is essential for a consistent interpretation of the leg-pole
transformed theory as a theory of space-time gravity. We reproduce the known
results for the string theory tree level scattering amplitudes for flat space
and linear dilaton background as a special case. We show that the generic case
corresponds to more general space-time backgrounds. In particular, we identify
the parameter corresponding to background metric perturbation in string theory
(black hole mass) in terms of the matrix model variables. Possible implications
of our work for a consistent nonperturbative definition of string theory as
well as for quantized gravity and black-hole physics are discussed.
|
[
{
"created": "Fri, 7 Jul 1995 13:35:17 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jul 1995 17:32:08 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Dhar",
"Avinash",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Wadia",
"Spenta R.",
""
]
] |
We propose a new formulation of the space-time interpretation of the $c=1$ matrix model. Our formulation uses the well-known leg-pole factor that relates the matrix model amplitudes to that of the 2-dimensional string theory, but includes fluctuations around the fermi vacuum on {\sl both sides} of the inverted harmonic oscillator potential of the double-scaled model, even when the fluctuations are small and confined entirely within the asymptotes in the phase plane. We argue that including fluctuations on both sides of the potential is essential for a consistent interpretation of the leg-pole transformed theory as a theory of space-time gravity. We reproduce the known results for the string theory tree level scattering amplitudes for flat space and linear dilaton background as a special case. We show that the generic case corresponds to more general space-time backgrounds. In particular, we identify the parameter corresponding to background metric perturbation in string theory (black hole mass) in terms of the matrix model variables. Possible implications of our work for a consistent nonperturbative definition of string theory as well as for quantized gravity and black-hole physics are discussed.
|
2212.07645
|
Rong-Xin Miao
|
Rong-Xin Miao
|
Entanglement Island versus Massless Gravity
|
6 pages, 3 figures, revision published in EPJC
| null |
10.1140/epjc/s10052-024-12485-3
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Entanglement islands play an essential role in the recent breakthrough in
addressing the black hole information paradox. Inspired by double holography,
it is conjectured that the entanglement islands can exist only in massive
gravity. There are many pieces of evidence but also debates for this
conjecture. This paper recovers the massless entanglement island in wedge
holography with negative DGP gravity on the brane. However, the spectrum of
negative DGP gravity includes a massive ghost, implying the model is unstable.
Our work supports the view that there is no entanglement island in a
well-defined braneworld model of massless gravity if one divides the radiation
and black hole regions by minimizing entanglement entropy. However, such a
partition results in a zero radiation region containing no information. Whether
there are other physical non-trivial partitions of the radiation region is an
open question and deserves further study.
|
[
{
"created": "Thu, 15 Dec 2022 07:33:32 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2023 04:50:33 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Mar 2024 06:37:04 GMT",
"version": "v3"
}
] |
2024-04-01
|
[
[
"Miao",
"Rong-Xin",
""
]
] |
Entanglement islands play an essential role in the recent breakthrough in addressing the black hole information paradox. Inspired by double holography, it is conjectured that the entanglement islands can exist only in massive gravity. There are many pieces of evidence but also debates for this conjecture. This paper recovers the massless entanglement island in wedge holography with negative DGP gravity on the brane. However, the spectrum of negative DGP gravity includes a massive ghost, implying the model is unstable. Our work supports the view that there is no entanglement island in a well-defined braneworld model of massless gravity if one divides the radiation and black hole regions by minimizing entanglement entropy. However, such a partition results in a zero radiation region containing no information. Whether there are other physical non-trivial partitions of the radiation region is an open question and deserves further study.
|
2110.11100
|
Joren Brunekreef
|
J. Brunekreef, R. Loll
|
Quantum Flatness in Two-Dimensional CDT Quantum Gravity
|
33 pages,16 figures
| null |
10.1103/PhysRevD.104.126024
| null |
hep-th gr-qc hep-lat
|
http://creativecommons.org/licenses/by/4.0/
|
Flatness -- the absence of spacetime curvature -- is a well-understood
property of macroscopic, classical spacetimes in general relativity. The same
cannot be said about the concepts of curvature and flatness in nonperturbative
quantum gravity, where the microscopic structure of spacetime is not
describable in terms of small fluctuations around a fixed background geometry.
An interesting case are two-dimensional models of quantum gravity, which lack a
classical limit and therefore are maximally "quantum". We investigate the
recently introduced quantum Ricci curvature in CDT quantum gravity on a
two-dimensional torus, whose quantum geometry could be expected to behave like
a flat space on suitably coarse-grained scales. On the basis of Monte Carlo
simulations we have performed, with system sizes of up to 600.000 building
blocks, this does not seem to be the case. Instead, we find a scale-independent
"quantum flatness", without an obvious classical analogue. As part of our
study, we develop a criterion that allows us to distinguish between local and
global, topological properties of the toroidal quantum system.
|
[
{
"created": "Thu, 21 Oct 2021 12:40:53 GMT",
"version": "v1"
}
] |
2022-01-12
|
[
[
"Brunekreef",
"J.",
""
],
[
"Loll",
"R.",
""
]
] |
Flatness -- the absence of spacetime curvature -- is a well-understood property of macroscopic, classical spacetimes in general relativity. The same cannot be said about the concepts of curvature and flatness in nonperturbative quantum gravity, where the microscopic structure of spacetime is not describable in terms of small fluctuations around a fixed background geometry. An interesting case are two-dimensional models of quantum gravity, which lack a classical limit and therefore are maximally "quantum". We investigate the recently introduced quantum Ricci curvature in CDT quantum gravity on a two-dimensional torus, whose quantum geometry could be expected to behave like a flat space on suitably coarse-grained scales. On the basis of Monte Carlo simulations we have performed, with system sizes of up to 600.000 building blocks, this does not seem to be the case. Instead, we find a scale-independent "quantum flatness", without an obvious classical analogue. As part of our study, we develop a criterion that allows us to distinguish between local and global, topological properties of the toroidal quantum system.
|
hep-th/9202030
| null |
L.F. Cugliandolo, G.L. Rossini and F.A. Schaposnik
|
Stochastic Quantization of the Chern-Simons Theory
|
30 pages
|
Annals Phys. 220 (1992) 40-54
|
10.1016/0003-4916(92)90325-G
| null |
hep-th
| null |
We discuss Stochastic Quantization of $d$=3 dimensional non-Abelian
Chern-Simons theory. We demonstrate that the introduction of an appropriate
regulator in the Langevin equation yields a well-defined equilibrium limit,
thus leading to the correct propagator. We also analyze the connection between
$d$=3 Chern-Simons and $d$=4 Topological Yang-Mills theories showing the
equivalence between the corresponding regularized partition functions. We study
the construction of topological invariants and the introduction of a
non-trivial kernel as an alternative regularization.
|
[
{
"created": "Fri, 7 Feb 1992 22:44:46 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Cugliandolo",
"L. F.",
""
],
[
"Rossini",
"G. L.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] |
We discuss Stochastic Quantization of $d$=3 dimensional non-Abelian Chern-Simons theory. We demonstrate that the introduction of an appropriate regulator in the Langevin equation yields a well-defined equilibrium limit, thus leading to the correct propagator. We also analyze the connection between $d$=3 Chern-Simons and $d$=4 Topological Yang-Mills theories showing the equivalence between the corresponding regularized partition functions. We study the construction of topological invariants and the introduction of a non-trivial kernel as an alternative regularization.
|
hep-th/0107013
|
Ernesto Fuenmayor
|
Ernesto Fuenmayor, Lorenzo Leal (Caracas Universidad Central) and Ryan
Revoredo (Caracas, Universidad Metropolitana)
|
Loop representation of charged particles interacting with Maxwell and
Chern-Simons fields
|
6 pages, improved version
|
Phys.Rev.D65:065018,2002
|
10.1103/PhysRevD.65.065018
| null |
hep-th
| null |
The loop representation formulation of non-relativistic particles coupled
with abelian gauge fields is studied. Both Maxwell and Chern-Simons
interactions are separately considered. It is found that the loop-space
formulations of these models share significant similarities, although in the
Chern-Simons case there exists an unitary transformation that allows to remove
the degrees of freedom associated with the paths. The existence of this
transformation, which allows to make contact with the anyonic interpretation of
the model, is subjected to the fact that the charge of the particles be
quantized. On the other hand, in the Maxwell case, we find that charge
quantization is necessary in order to the geometric representation be
consistent.
|
[
{
"created": "Mon, 2 Jul 2001 14:42:07 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Nov 2001 21:04:16 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Fuenmayor",
"Ernesto",
"",
"Caracas Universidad Central"
],
[
"Leal",
"Lorenzo",
"",
"Caracas Universidad Central"
],
[
"Revoredo",
"Ryan",
"",
"Caracas, Universidad Metropolitana"
]
] |
The loop representation formulation of non-relativistic particles coupled with abelian gauge fields is studied. Both Maxwell and Chern-Simons interactions are separately considered. It is found that the loop-space formulations of these models share significant similarities, although in the Chern-Simons case there exists an unitary transformation that allows to remove the degrees of freedom associated with the paths. The existence of this transformation, which allows to make contact with the anyonic interpretation of the model, is subjected to the fact that the charge of the particles be quantized. On the other hand, in the Maxwell case, we find that charge quantization is necessary in order to the geometric representation be consistent.
|
1210.2559
|
Akbar Jahan
|
M. Nasseri, A. Jahan and M. Souri
|
U(1) Gauge Field in 6D Space-Time With Compact Noncommutative
Dimensions: A Coherent State Approach
|
no figure, 7 pages
|
Fizika B17 (2008) 447-454
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the U(1) gauge field defined over a six dimensional space-time
with extra dimensions compactified on a noncommutative toroidal orbifold,
within the context of coherent state approach to the noncommutative spaces. We
demonstrate that the fuzzines of extra dimensions can lead to the canceling of
the part of electrostatic interaction mediated by the massive KK modes.
|
[
{
"created": "Tue, 9 Oct 2012 10:57:54 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2012 05:55:12 GMT",
"version": "v2"
}
] |
2012-10-11
|
[
[
"Nasseri",
"M.",
""
],
[
"Jahan",
"A.",
""
],
[
"Souri",
"M.",
""
]
] |
We consider the U(1) gauge field defined over a six dimensional space-time with extra dimensions compactified on a noncommutative toroidal orbifold, within the context of coherent state approach to the noncommutative spaces. We demonstrate that the fuzzines of extra dimensions can lead to the canceling of the part of electrostatic interaction mediated by the massive KK modes.
|
2210.04528
|
Erik Plauschinn
|
Erik Plauschinn
|
Mass spectrum of type IIB flux compactifications -- comments on AdS
vacua and conformal dimensions
|
24 pages
| null |
10.1007/JHEP02(2023)257
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we study the mass spectrum of type IIB flux compactifications.
We first give a general discussion of the mass matrix for F-term vacua in
four-dimensional N=1 supergravity theories and then specialize to type IIB
Calabi-Yau orientifold compactifications in the presence of geometric and
non-geometric fluxes. F-term vacua in this setting are in general AdS$_4$ vacua
for which we compute the conformal dimensions of operators dual to the scalar
fields. For the mirror-dual of the DGKT construction we find that one-loop
corrections to the complex-structure moduli space lead to real-valued conformal
dimensions - only when ignoring these corrections we recover the integer values
previously reported in the literature. For an example of a flux configurations
more general than the DGKT mirror we also obtain non-integer conformal
dimensions. Furthermore, we argue that stabilizing moduli in asymptotic regions
of moduli space implies that at least one of the mass eigenvalue diverges.
|
[
{
"created": "Mon, 10 Oct 2022 09:56:04 GMT",
"version": "v1"
}
] |
2023-03-22
|
[
[
"Plauschinn",
"Erik",
""
]
] |
In this note we study the mass spectrum of type IIB flux compactifications. We first give a general discussion of the mass matrix for F-term vacua in four-dimensional N=1 supergravity theories and then specialize to type IIB Calabi-Yau orientifold compactifications in the presence of geometric and non-geometric fluxes. F-term vacua in this setting are in general AdS$_4$ vacua for which we compute the conformal dimensions of operators dual to the scalar fields. For the mirror-dual of the DGKT construction we find that one-loop corrections to the complex-structure moduli space lead to real-valued conformal dimensions - only when ignoring these corrections we recover the integer values previously reported in the literature. For an example of a flux configurations more general than the DGKT mirror we also obtain non-integer conformal dimensions. Furthermore, we argue that stabilizing moduli in asymptotic regions of moduli space implies that at least one of the mass eigenvalue diverges.
|
2401.11223
|
Jiang Long
|
Wen-Bin Liu and Jiang Long
|
Holographic dictionary from bulk reduction
|
8 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a holographic dictionary which comes from reducing the bulk
theories in an asymptotically flat spacetime to its null infinity. A general
boundary theory is characterized by a fundamental field, an infinite tower of
descendant fields, constraints among the fundamental field and its descendants
as well as a symplectic form. For the Carrollian diffeomorphisms, we can
construct the corresponding Hamiltonians which are also the fluxes from the
bulk, and whose quantum operators realize this algebra with a divergent central
charge. This central charge reflects the propagating degrees of freedom and can
be regularized. For the spinning theory, we need a helicity flux operator to
close the algebra which relates to the duality transformation.
|
[
{
"created": "Sat, 20 Jan 2024 12:50:36 GMT",
"version": "v1"
}
] |
2024-01-23
|
[
[
"Liu",
"Wen-Bin",
""
],
[
"Long",
"Jiang",
""
]
] |
We propose a holographic dictionary which comes from reducing the bulk theories in an asymptotically flat spacetime to its null infinity. A general boundary theory is characterized by a fundamental field, an infinite tower of descendant fields, constraints among the fundamental field and its descendants as well as a symplectic form. For the Carrollian diffeomorphisms, we can construct the corresponding Hamiltonians which are also the fluxes from the bulk, and whose quantum operators realize this algebra with a divergent central charge. This central charge reflects the propagating degrees of freedom and can be regularized. For the spinning theory, we need a helicity flux operator to close the algebra which relates to the duality transformation.
|
1205.3339
|
Nicolas Boulanger
|
Nicolas Boulanger, Nicolo Colombo, Per Sundell
|
A minimal BV action for Vasiliev's four-dimensional higher spin gravity
|
39 pages, 1 figure. Additional comments in the conclusions
| null |
10.1007/JHEP10(2012)043
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The action principle for Vasiliev's four-dimensional higher-spin gravity
proposed recently by two of the authors, is converted into a minimal BV master
action using the AKSZ procedure, which amounts to replacing the classical
differential forms by vectorial superfields of fixed total degree given by the
sum of form degree and ghost number. The nilpotency of the BRST operator is
achieved by imposing boundary conditions and choosing appropriate gauge
transitions between charts leading to a globally-defined formulation based on a
principal bundle.
|
[
{
"created": "Tue, 15 May 2012 12:20:55 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Feb 2013 16:34:52 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Boulanger",
"Nicolas",
""
],
[
"Colombo",
"Nicolo",
""
],
[
"Sundell",
"Per",
""
]
] |
The action principle for Vasiliev's four-dimensional higher-spin gravity proposed recently by two of the authors, is converted into a minimal BV master action using the AKSZ procedure, which amounts to replacing the classical differential forms by vectorial superfields of fixed total degree given by the sum of form degree and ghost number. The nilpotency of the BRST operator is achieved by imposing boundary conditions and choosing appropriate gauge transitions between charts leading to a globally-defined formulation based on a principal bundle.
|
1206.5066
|
Levay Peter
|
P\'eter L\'evay and G\'abor S\'arosi
|
Hitchin functionals are related to measures of entanglement
|
55 pages, Latex
| null |
10.1103/PhysRevD.86.105038
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to the Black Hole/Qubit Correspondence (BHQC) certain black hole
entropy formulas in supergravity can be related to multipartite entanglement
measures of quantum information. Here we show that the origin of this
correspondence is a connection between Hitchin functionals used as action
functionals for form theories of gravity related to topological strings, and
entanglement measures for systems with a small number of constituents. The
basic idea acting as a unifying agent in these seemingly unrelated fields is
stability connected to the mathematical notion of special prehomogeneous vector
spaces associated to Freudenthal systems coming from simple Jordan algebras. It
is shown that the nonlinear function featuring these functionals and defining
Calabi-Yau and generalized Calabi-Yau structures is the Freudenthal dual a
concept introduced recently in connection with the BHQC. We propose to use the
Hitchin invariant for three-forms in 7 dimensions as an entanglement measure
playing a basic role in classifying three-fermion systems with seven modes. The
representative of the class of maximal tripartite entanglement is the
three-form used as a calibration for compactification on manifolds with $G_2$
holonomy. The idea that entanglement measures are related to action functionals
from which the usual correspondence of the BHQC follows at the tree level
suggests that one can use the BHQC in a more general context.
|
[
{
"created": "Fri, 22 Jun 2012 06:30:07 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"Lévay",
"Péter",
""
],
[
"Sárosi",
"Gábor",
""
]
] |
According to the Black Hole/Qubit Correspondence (BHQC) certain black hole entropy formulas in supergravity can be related to multipartite entanglement measures of quantum information. Here we show that the origin of this correspondence is a connection between Hitchin functionals used as action functionals for form theories of gravity related to topological strings, and entanglement measures for systems with a small number of constituents. The basic idea acting as a unifying agent in these seemingly unrelated fields is stability connected to the mathematical notion of special prehomogeneous vector spaces associated to Freudenthal systems coming from simple Jordan algebras. It is shown that the nonlinear function featuring these functionals and defining Calabi-Yau and generalized Calabi-Yau structures is the Freudenthal dual a concept introduced recently in connection with the BHQC. We propose to use the Hitchin invariant for three-forms in 7 dimensions as an entanglement measure playing a basic role in classifying three-fermion systems with seven modes. The representative of the class of maximal tripartite entanglement is the three-form used as a calibration for compactification on manifolds with $G_2$ holonomy. The idea that entanglement measures are related to action functionals from which the usual correspondence of the BHQC follows at the tree level suggests that one can use the BHQC in a more general context.
|
hep-th/9609235
|
Valerie Nowak
|
Stephen L. Adler and Jeeva Anandan
|
Nonadiabatic Geometric Phase in Quaternionic Hilbert Space
|
14 pages, plain Tex, no figures
|
Found.Phys. 26 (1996) 1579-1589
|
10.1007/BF02282121
|
IASSNS-HEP-96/89
|
hep-th
| null |
We develop the theory of the nonadiabatic geometric phase, in both the
Abelian and non-Abelian cases, in quaternionic Hilbert space.
|
[
{
"created": "Mon, 30 Sep 1996 18:34:08 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Adler",
"Stephen L.",
""
],
[
"Anandan",
"Jeeva",
""
]
] |
We develop the theory of the nonadiabatic geometric phase, in both the Abelian and non-Abelian cases, in quaternionic Hilbert space.
|
1505.04225
|
Mudassir Moosa
|
Stefan Leichenauer and Mudassir Moosa
|
Entanglement Tsunami in (1+1)-Dimensions
|
20 pages and 6 figures. v3: added references
|
Phys. Rev. D 92, 126004 (2015)
|
10.1103/PhysRevD.92.126004
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the time dependence of the entanglement entropy of disjoint
intervals following a global quantum quench in (1+1)-dimensional CFTs at
large-$c$ with a sparse spectrum. The result agrees with a holographic
calculation but differs from the free field theory answer. In particular, a
simple model of free quasiparticle propagation is not adequate for CFTs with a
holographic dual. We elaborate on the entanglement tsunami proposal of Liu and
Suh and show how it can be used to reproduce the holographic answer.
|
[
{
"created": "Sat, 16 May 2015 01:17:50 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Jun 2015 01:23:49 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Jun 2015 19:56:35 GMT",
"version": "v3"
}
] |
2015-12-16
|
[
[
"Leichenauer",
"Stefan",
""
],
[
"Moosa",
"Mudassir",
""
]
] |
We study the time dependence of the entanglement entropy of disjoint intervals following a global quantum quench in (1+1)-dimensional CFTs at large-$c$ with a sparse spectrum. The result agrees with a holographic calculation but differs from the free field theory answer. In particular, a simple model of free quasiparticle propagation is not adequate for CFTs with a holographic dual. We elaborate on the entanglement tsunami proposal of Liu and Suh and show how it can be used to reproduce the holographic answer.
|
2012.05224
|
Dionysios Anninos
|
Dionysios Anninos and Beatrix M\"uhlmann
|
Matrix integrals $\&$ finite holography
|
42 pages + appendices, comments welcome
| null |
10.1007/JHEP06(2021)120
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the conjectured duality between a class of large $N$ matrix
integrals, known as multicritical matrix integrals (MMI), and the series
$(2m-1,2)$ of non-unitary minimal models on a fluctuating background. We match
the critical exponents of the leading order planar expansion of MMI, to those
of the continuum theory on an $S^2$ topology. From the MMI perspective this is
done both through a multi-vertex diagrammatic expansion, thereby revealing
novel combinatorial expressions, as well as through a systematic saddle point
evaluation of the matrix integral as a function of its parameters. From the
continuum point of view the corresponding critical exponents are obtained upon
computing the partition function in the presence of a given conformal primary.
Further to this, we elaborate on a Hilbert space of the continuum theory, and
the putative finiteness thereof, on both an $S^2$ and a $T^2$ topology using
BRST cohomology considerations. Matrix integrals support this finiteness.
|
[
{
"created": "Wed, 9 Dec 2020 18:38:09 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2020 17:56:28 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Apr 2021 16:32:44 GMT",
"version": "v3"
}
] |
2021-07-07
|
[
[
"Anninos",
"Dionysios",
""
],
[
"Mühlmann",
"Beatrix",
""
]
] |
We explore the conjectured duality between a class of large $N$ matrix integrals, known as multicritical matrix integrals (MMI), and the series $(2m-1,2)$ of non-unitary minimal models on a fluctuating background. We match the critical exponents of the leading order planar expansion of MMI, to those of the continuum theory on an $S^2$ topology. From the MMI perspective this is done both through a multi-vertex diagrammatic expansion, thereby revealing novel combinatorial expressions, as well as through a systematic saddle point evaluation of the matrix integral as a function of its parameters. From the continuum point of view the corresponding critical exponents are obtained upon computing the partition function in the presence of a given conformal primary. Further to this, we elaborate on a Hilbert space of the continuum theory, and the putative finiteness thereof, on both an $S^2$ and a $T^2$ topology using BRST cohomology considerations. Matrix integrals support this finiteness.
|
hep-th/9901066
|
Freydoon Mansouri
|
Sharmanthie Fernando and Freydoon Mansouri
|
Black Holes and Super Black Holes as Chern Simons Theories in 2+1
Dimensions
|
15 pages, LaTex. Presented at 22nd Johns Hopkins Workshop, Goteborg,
Sweden, August 20-22, 1998
| null | null |
uctp112.98
|
hep-th
| null |
We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern
Simons gauge theory of the anti-de Sitter group coupled to a Source. Taking the
source to be an anti-de Sitter state specified by its Casimir invariants, we
show how all the relevant features of the black hole are accounted for.
Enlarging the gauge symmetry to super AdS group, we obtain a supermultiplet of
AdS black holes. We give explicit expressions for the masses and the angular
momenta of the members of the multiplet.
|
[
{
"created": "Fri, 15 Jan 1999 18:55:17 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Fernando",
"Sharmanthie",
""
],
[
"Mansouri",
"Freydoon",
""
]
] |
We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern Simons gauge theory of the anti-de Sitter group coupled to a Source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all the relevant features of the black hole are accounted for. Enlarging the gauge symmetry to super AdS group, we obtain a supermultiplet of AdS black holes. We give explicit expressions for the masses and the angular momenta of the members of the multiplet.
|
hep-th/9812090
|
Antti Niemi
|
L. Faddeev and Antti J. Niemi
|
Partial duality in SU(N) Yang-Mills theory
|
small revision
|
Phys.Lett. B449 (1999) 214-218
|
10.1016/S0370-2693(99)00100-8
|
UU-ITP 98/12
|
hep-th
| null |
Recently we have proposed a set of variables for describing the infrared
limit of four dimensional SU(2) Yang-Mills theory. here we extend these
variables to the general case of four dimensional SU(N) Yang-Mills theory. We
find that the SU(N) connection A decomposes according to irreducible
representations of SO(N-1) and the curvature two-form F is related to the
symplectic Kirillov two forms that characterize irreducible representations of
SU(N). We propose a general class of nonlinear chiral models that may describe
stable, soliton-like configurations with nontrivial topological numbers.
|
[
{
"created": "Thu, 10 Dec 1998 20:39:26 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 1998 14:19:34 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jan 1999 20:54:49 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Faddeev",
"L.",
""
],
[
"Niemi",
"Antti J.",
""
]
] |
Recently we have proposed a set of variables for describing the infrared limit of four dimensional SU(2) Yang-Mills theory. here we extend these variables to the general case of four dimensional SU(N) Yang-Mills theory. We find that the SU(N) connection A decomposes according to irreducible representations of SO(N-1) and the curvature two-form F is related to the symplectic Kirillov two forms that characterize irreducible representations of SU(N). We propose a general class of nonlinear chiral models that may describe stable, soliton-like configurations with nontrivial topological numbers.
|
1203.0944
|
Ricardo Monteiro
|
N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Ricardo Monteiro, Donal
O'Connell
|
Algebras for Amplitudes
|
17 pages, 1 figure. v2: published version, example added in appendix
| null |
10.1007/JHEP06(2012)061
|
IHES/P/12/03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary
amplitudes with only cubic vertices. The vertices in this formalism are
explicitly factorized in color and kinematics, clarifying the color-kinematics
duality in gauge theory amplitudes. The basis is constructed making use of the
KK and BCJ relations, thereby showing precisely how these relations underlie
the color-kinematics duality. We express gravity amplitudes in terms of a
related basis of color-dressed gauge theory amplitudes, with basis coefficients
which are permutation symmetric.
|
[
{
"created": "Mon, 5 Mar 2012 15:23:49 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jun 2012 08:52:57 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Damgaard",
"Poul H.",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"O'Connell",
"Donal",
""
]
] |
Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color and kinematics, clarifying the color-kinematics duality in gauge theory amplitudes. The basis is constructed making use of the KK and BCJ relations, thereby showing precisely how these relations underlie the color-kinematics duality. We express gravity amplitudes in terms of a related basis of color-dressed gauge theory amplitudes, with basis coefficients which are permutation symmetric.
|
1308.5204
|
George Sterman
|
Ratindranath Akhoury, Ryo Saotome and George Sterman
|
High Energy Scattering in Perturbative Quantum Gravity at Next to
Leading Power
|
Basic results are unchanged, but many arguments have been revised,
and several calculations given in dimensional regularization. One new figure.
17 pages, six figures
|
Phys. Rev. D 103, 064036 (2021)
|
10.1103/PhysRevD.103.064036
|
YITP-SB-13-25
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the relativistic scattering of unequal-mass scalar particles
through graviton exchange in the small-angle high-energy regime. We show the
self-consistency of expansion around the eikonal limit and compute the
scattering amplitude up to the next-to-leading power correction of the light
particle energy, including gravitational effects of the same order. The first
power correction is suppressed by a single power of the ratio of momentum
transfer to the energy of the light particle in the rest frame of the heavy
particle, independent of the heavy particle mass. We find that only
gravitational corrections contribute to the exponentiated phase in impact
parameter space in four dimensions. For large enough heavy-particle mass, the
saddle point for the impact parameter is modified compared to the leading order
by a multiple of the Schwarzschild radius determined by the mass of the heavy
particle, independent of the energy of the light particle.
|
[
{
"created": "Fri, 23 Aug 2013 18:42:27 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Oct 2016 21:24:35 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Oct 2020 16:44:05 GMT",
"version": "v3"
}
] |
2021-03-24
|
[
[
"Akhoury",
"Ratindranath",
""
],
[
"Saotome",
"Ryo",
""
],
[
"Sterman",
"George",
""
]
] |
We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime. We show the self-consistency of expansion around the eikonal limit and compute the scattering amplitude up to the next-to-leading power correction of the light particle energy, including gravitational effects of the same order. The first power correction is suppressed by a single power of the ratio of momentum transfer to the energy of the light particle in the rest frame of the heavy particle, independent of the heavy particle mass. We find that only gravitational corrections contribute to the exponentiated phase in impact parameter space in four dimensions. For large enough heavy-particle mass, the saddle point for the impact parameter is modified compared to the leading order by a multiple of the Schwarzschild radius determined by the mass of the heavy particle, independent of the energy of the light particle.
|
hep-th/0210200
|
Kokorelis
|
Christos Kokorelis
|
Deformed Intersecting D6-Brane GUTS II
|
46 pages, 2 figures, LaTex
| null | null |
FTUAM-02/25, IFT-UAM/CSIC-02-44
|
hep-th hep-ph
| null |
By employing D6-branes intersecting at angles in $D = 4$ type I strings, we
construct {\em five stack} string GUT models (PS-II class), that contain at low
energy {\em exactly the Standard model} with no extra matter and/or extra gauge
group factors. These classes of models are based on the Pati-Salam (PS) gauge
group $SU(4)_C \times SU(2)_L \times SU(2)_R$. They represent deformations
around the quark and lepton basic intersection number structure.
The models possess the same phenomenological characteristics of some recently
discussed examples (PS-A and PS-I class) of four stack PS GUTS. Namely, there
are no colour triplet couplings to mediate proton decay and proton is stable as
baryon number is a gauged symmetry. Neutrinos get masses of the correct sizes.
Also the mass relation $m_e = m_d$ at the GUT scale is recovered.
The conditions for the non-anomalous U(1)'s to survive massless the
Green-Schwarz mechanism are equivalent, to the conditions, coming from the
presence of N=1 supersymmetry, in sectors involving the presence of {\em extra}
branes and also required to guarantee the existence of the Majorana mass term
for the right handed neutrinos. These conditions are independent from the
number of {\em extra} U(1) branes. We also discuss the relative size of the
leading worldsheet instanton correction to the trilinear Yukawa couplings in a
general GUT model.
|
[
{
"created": "Mon, 21 Oct 2002 18:22:18 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kokorelis",
"Christos",
""
]
] |
By employing D6-branes intersecting at angles in $D = 4$ type I strings, we construct {\em five stack} string GUT models (PS-II class), that contain at low energy {\em exactly the Standard model} with no extra matter and/or extra gauge group factors. These classes of models are based on the Pati-Salam (PS) gauge group $SU(4)_C \times SU(2)_L \times SU(2)_R$. They represent deformations around the quark and lepton basic intersection number structure. The models possess the same phenomenological characteristics of some recently discussed examples (PS-A and PS-I class) of four stack PS GUTS. Namely, there are no colour triplet couplings to mediate proton decay and proton is stable as baryon number is a gauged symmetry. Neutrinos get masses of the correct sizes. Also the mass relation $m_e = m_d$ at the GUT scale is recovered. The conditions for the non-anomalous U(1)'s to survive massless the Green-Schwarz mechanism are equivalent, to the conditions, coming from the presence of N=1 supersymmetry, in sectors involving the presence of {\em extra} branes and also required to guarantee the existence of the Majorana mass term for the right handed neutrinos. These conditions are independent from the number of {\em extra} U(1) branes. We also discuss the relative size of the leading worldsheet instanton correction to the trilinear Yukawa couplings in a general GUT model.
|
2306.14330
|
Dmitry Chicherin
|
D. Chicherin, G. P. Korchemsky, E. Sokatchev, A. Zhiboedov
|
Energy correlations in heavy states
|
61 pages, 7 figures; v2: minor corrections and additions
| null | null |
CERN-TH-2023-109, IPhT-T23/051, LAPTH-034/23
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study energy correlations in states created by a heavy operator acting on
the vacuum in a conformal field theory. We argue that the energy correlations
in such states exhibit two characteristic regimes as functions of the angular
separations between the calorimeters: power-like growth at small angles
described by the light-ray OPE and slowly varying, or ``flat'', function at
larger angles. The transition between the two regimes is controlled by the
scaling dimension of the heavy operator and the dynamics of the theory. We
analyze this phenomenon in detail in the planar ${\cal N}=4$ SYM theory both at
weak and strong coupling. An analogous transition was previously observed in
QCD in the measurement of the angular energy distribution of particles
belonging to the same energetic jet. In that case it corresponds to the
transition from the light-ray OPE, perturbative regime described in terms of
correlations between quarks and gluons to the flat, non-perturbative regime
described in terms of correlations between hadrons.
|
[
{
"created": "Sun, 25 Jun 2023 20:01:18 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Sep 2023 17:13:39 GMT",
"version": "v2"
}
] |
2023-09-22
|
[
[
"Chicherin",
"D.",
""
],
[
"Korchemsky",
"G. P.",
""
],
[
"Sokatchev",
"E.",
""
],
[
"Zhiboedov",
"A.",
""
]
] |
We study energy correlations in states created by a heavy operator acting on the vacuum in a conformal field theory. We argue that the energy correlations in such states exhibit two characteristic regimes as functions of the angular separations between the calorimeters: power-like growth at small angles described by the light-ray OPE and slowly varying, or ``flat'', function at larger angles. The transition between the two regimes is controlled by the scaling dimension of the heavy operator and the dynamics of the theory. We analyze this phenomenon in detail in the planar ${\cal N}=4$ SYM theory both at weak and strong coupling. An analogous transition was previously observed in QCD in the measurement of the angular energy distribution of particles belonging to the same energetic jet. In that case it corresponds to the transition from the light-ray OPE, perturbative regime described in terms of correlations between quarks and gluons to the flat, non-perturbative regime described in terms of correlations between hadrons.
|
1306.5756
|
David Kubiznak
|
Natacha Altamirano, David Kubiznak, Robert B. Mann
|
Reentrant Phase Transitions in Rotating AdS Black Holes
|
5 pages, 6 figures
|
Phys. Rev. D 88, 101502 (2013)
|
10.1103/PhysRevD.88.101502
|
pi-stronggrv-332
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the thermodynamics of higher-dimensional singly spinning
asymptotically AdS black holes in the canonical (fixed J) ensemble of extended
phase space, where the cosmological constant is treated as pressure and the
corresponding conjugate quantity is interpreted as thermodynamic volume. Along
with the usual small/large black hole phase transition, we find a new
phenomenon of reentrant phase transitions for all d>5 dimensions, in which a
monotonic variation of the temperature yields two phase transitions from large
to small and back to large black holes. This situation is similar to that seen
in multicomponent liquids.
|
[
{
"created": "Mon, 24 Jun 2013 20:00:09 GMT",
"version": "v1"
}
] |
2013-11-27
|
[
[
"Altamirano",
"Natacha",
""
],
[
"Kubiznak",
"David",
""
],
[
"Mann",
"Robert B.",
""
]
] |
We study the thermodynamics of higher-dimensional singly spinning asymptotically AdS black holes in the canonical (fixed J) ensemble of extended phase space, where the cosmological constant is treated as pressure and the corresponding conjugate quantity is interpreted as thermodynamic volume. Along with the usual small/large black hole phase transition, we find a new phenomenon of reentrant phase transitions for all d>5 dimensions, in which a monotonic variation of the temperature yields two phase transitions from large to small and back to large black holes. This situation is similar to that seen in multicomponent liquids.
|
hep-th/0009141
|
Jorge Russo
|
J. G. Russo and M. M. Sheikh-Jabbari
|
Strong Coupling Effects in non-commutative spaces from OM Theory and
supergravity
|
24 pages, latex. Explanations added
|
Nucl.Phys.B600:62-80,2001
|
10.1016/S0550-3213(01)00047-5
|
IC/2000-139
|
hep-th
| null |
We show that a four-parameter class of 3+1 dimensional NCOS theories can be
obtained by dimensional reduction on a general 2-torus from OM theory.
Compactifying two spatial directions of NCOS theory on a 2-torus, we study the
transformation properties under the $SO(2,2;Z)$ T-duality group. We then
discuss non-perturbative configurations of non-commutative super Yang-Mills
theory. In particular, we calculate the tension for magnetic monopoles and
(p,q) dyons and exhibit their six-dimensional origin, and construct a
supergravity solution representing an instanton in the gauge theory. We also
compute the potential for a monopole-antimonopole in the supergravity
approximation.
|
[
{
"created": "Mon, 18 Sep 2000 19:55:16 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Dec 2000 13:46:43 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Russo",
"J. G.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] |
We show that a four-parameter class of 3+1 dimensional NCOS theories can be obtained by dimensional reduction on a general 2-torus from OM theory. Compactifying two spatial directions of NCOS theory on a 2-torus, we study the transformation properties under the $SO(2,2;Z)$ T-duality group. We then discuss non-perturbative configurations of non-commutative super Yang-Mills theory. In particular, we calculate the tension for magnetic monopoles and (p,q) dyons and exhibit their six-dimensional origin, and construct a supergravity solution representing an instanton in the gauge theory. We also compute the potential for a monopole-antimonopole in the supergravity approximation.
|
1711.03903
|
J. M. Drummond
|
F.Aprile, J.M.Drummond, P.Heslop, H.Paul
|
Loop corrections for Kaluza-Klein AdS amplitudes
|
37 pages. One ancillary file containing data on the correlators
| null |
10.1007/JHEP05(2018)056
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently we conjectured the four-point amplitude of graviton multiplets in
${\rm AdS}_5 \times {\rm S}^5$ at one loop by exploiting the operator product
expansion of $\mathcal{N}=4$ super Yang-Mills theory. Here we give the first
extension of those results to include Kaluza-Klein modes, obtaining the
amplitude for two graviton multiplets and two states of the first KK mode. Our
method again relies on resolving the large N degeneracy among a family of long
double-trace operators, for which we obtain explicit formulas for the leading
anomalous dimensions. Having constructed the one-loop amplitude we are able to
obtain a formula for the one-loop corrections to the anomalous dimensions of
all twist five double-trace operators.
|
[
{
"created": "Fri, 10 Nov 2017 16:17:18 GMT",
"version": "v1"
}
] |
2018-06-13
|
[
[
"Aprile",
"F.",
""
],
[
"Drummond",
"J. M.",
""
],
[
"Heslop",
"P.",
""
],
[
"Paul",
"H.",
""
]
] |
Recently we conjectured the four-point amplitude of graviton multiplets in ${\rm AdS}_5 \times {\rm S}^5$ at one loop by exploiting the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein modes, obtaining the amplitude for two graviton multiplets and two states of the first KK mode. Our method again relies on resolving the large N degeneracy among a family of long double-trace operators, for which we obtain explicit formulas for the leading anomalous dimensions. Having constructed the one-loop amplitude we are able to obtain a formula for the one-loop corrections to the anomalous dimensions of all twist five double-trace operators.
|
hep-th/0306097
|
Nicholas Warner
|
Chethan N. Gowdigere, Dennis Nemeschansky and Nicholas P. Warner
|
Supersymmetric Solutions with Fluxes from Algebraic Killing Spinors
|
20 pages; harvmac. Versions 2 and 3 only have minor changes in the
referencing
|
Adv.Theor.Math.Phys. 7 (2004) 787-806
| null |
USC-03/02
|
hep-th
| null |
We give a general framework for constructing supersymmetric solutions in the
presence of non-trivial fluxes of tensor gauge fields. This technique involves
making a general Ansatz for the metric and then defining the Killing spinors in
terms of very simple projectors on the spinor fields. These projectors and,
through them, the spinors, are determined algebraically in terms of the metric
Ansatz. The Killing spinor equations then fix the tensor gauge fields
algebraically, and, with the Bianchi identities, provide a system of equations
for all the metric functions. We illustrate this by constructing an infinite
family of massive flows that preserve eight supersymmetries in M-theory. This
family constitutes all the radially symmetric Coulomb branch flows of the
softly broken, large N scalar-fermion theory on M2-branes. We reduce the
problem to the solution of a single, non-linear partial differential equation
in two variables. This equation governs the flow of the fermion mass, and the
function that solves it then generates the entire M-theory solution
algebraically in terms of the function and its first derivatives. While the
governing equation is non-linear, it has a very simple perturbation theory from
which one can see how the Coulomb branch is encoded.
|
[
{
"created": "Wed, 11 Jun 2003 06:35:52 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Oct 2003 00:30:59 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Jan 2004 06:56:48 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Gowdigere",
"Chethan N.",
""
],
[
"Nemeschansky",
"Dennis",
""
],
[
"Warner",
"Nicholas P.",
""
]
] |
We give a general framework for constructing supersymmetric solutions in the presence of non-trivial fluxes of tensor gauge fields. This technique involves making a general Ansatz for the metric and then defining the Killing spinors in terms of very simple projectors on the spinor fields. These projectors and, through them, the spinors, are determined algebraically in terms of the metric Ansatz. The Killing spinor equations then fix the tensor gauge fields algebraically, and, with the Bianchi identities, provide a system of equations for all the metric functions. We illustrate this by constructing an infinite family of massive flows that preserve eight supersymmetries in M-theory. This family constitutes all the radially symmetric Coulomb branch flows of the softly broken, large N scalar-fermion theory on M2-branes. We reduce the problem to the solution of a single, non-linear partial differential equation in two variables. This equation governs the flow of the fermion mass, and the function that solves it then generates the entire M-theory solution algebraically in terms of the function and its first derivatives. While the governing equation is non-linear, it has a very simple perturbation theory from which one can see how the Coulomb branch is encoded.
|
hep-th/9708156
|
Zhi Gang Yu
|
Guang-Jiong Ni
|
Relativistic Stationary Schrodinger Equation for Many Particle System
and Its Applications
|
9 pages, no figure
| null | null | null |
hep-th
| null |
Basing on the fundamental symmetry that the space-time inversion is
equivalent to particle-antiparticle transformation, a relativistic modification
on the stationary Schrodinger equation for many-particle system is made. The
eigenvalue in the center of mass system is no longer equal to the negative of
binding energy simply. The possible applications in various fields (e.g. the
model of quarkonium) are discussed.
|
[
{
"created": "Thu, 28 Aug 1997 15:19:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ni",
"Guang-Jiong",
""
]
] |
Basing on the fundamental symmetry that the space-time inversion is equivalent to particle-antiparticle transformation, a relativistic modification on the stationary Schrodinger equation for many-particle system is made. The eigenvalue in the center of mass system is no longer equal to the negative of binding energy simply. The possible applications in various fields (e.g. the model of quarkonium) are discussed.
|
2211.00068
|
Christophe Goeller
|
Marc Geiller, Florian Girelli, Christophe Goeller, Panagiotis
Tsimiklis
|
Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs
| null |
JHEP 05 (2023) 154
|
10.1007/JHEP05(2023)154
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We present a Sugawara-type construction for boundary charges in 4d BF theory
and in a general family of related TQFTs. Starting from the underlying current
Lie algebra of boundary symmetries, this gives rise to well-defined quadratic
charges forming an algebra of vector fields. In the case of 3d BF theory (i.e.
3d gravity), it was shown in [PRD 106 (2022), arXiv:2012.05263 [hep-th]] that
this construction leads to a two-dimensional family of diffeomorphism charges
which satisfy a certain modular duality. Here we show that adapting this
construction to 4d BF theory first requires to split the underlying gauge
algebra. Surprisingly, the space of well-defined quadratic generators can then
be shown to be once again two-dimensional. In the case of tangential vector
fields, this canonically endows 4d BF theory with a
$\mathrm{diff}(S^2)\times\mathrm{diff}(S^2)$ or
$\mathrm{diff}(S^2)\ltimes\mathrm{vect}(S^2)_\mathrm{ab}$ algebra of boundary
symmetries depending on the gauge algebra. The prospect is to then understand
how this can be reduced to a gravitational symmetry algebra by imposing
Pleba\'nski simplicity constraints.
|
[
{
"created": "Mon, 31 Oct 2022 18:16:40 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Nov 2022 16:40:19 GMT",
"version": "v2"
}
] |
2023-05-22
|
[
[
"Geiller",
"Marc",
""
],
[
"Girelli",
"Florian",
""
],
[
"Goeller",
"Christophe",
""
],
[
"Tsimiklis",
"Panagiotis",
""
]
] |
We present a Sugawara-type construction for boundary charges in 4d BF theory and in a general family of related TQFTs. Starting from the underlying current Lie algebra of boundary symmetries, this gives rise to well-defined quadratic charges forming an algebra of vector fields. In the case of 3d BF theory (i.e. 3d gravity), it was shown in [PRD 106 (2022), arXiv:2012.05263 [hep-th]] that this construction leads to a two-dimensional family of diffeomorphism charges which satisfy a certain modular duality. Here we show that adapting this construction to 4d BF theory first requires to split the underlying gauge algebra. Surprisingly, the space of well-defined quadratic generators can then be shown to be once again two-dimensional. In the case of tangential vector fields, this canonically endows 4d BF theory with a $\mathrm{diff}(S^2)\times\mathrm{diff}(S^2)$ or $\mathrm{diff}(S^2)\ltimes\mathrm{vect}(S^2)_\mathrm{ab}$ algebra of boundary symmetries depending on the gauge algebra. The prospect is to then understand how this can be reduced to a gravitational symmetry algebra by imposing Pleba\'nski simplicity constraints.
|
2403.14889
|
Victor Franken
|
Victor Franken
|
de Sitter Connectivity from Holographic Entanglement
|
Based on a talk given at the Corfu Summer Institute 2023 "School and
Workshops on Elementary Particle Physics and Gravity'' (CORFU2023), 23 April
- 6 May , and 27 August - 1 October, 2023, Corfu, Greece. 16 pages +
references, 5 Figures
| null | null |
CPHT-PC016.032024
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Considering two antipodal observers in de Sitter space, we illustrate how
spacetime connectivity between the holographic screens located on the
(stretched) horizons emerges from holographic entanglement. To do so, we
construct a covariant holographic entanglement entropy prescription in de
Sitter space, including quantum corrections. While this prescription is
inspired by the bilayer proposal, we argue that the monolayer proposal appears
to be inconsistent. Entanglement wedge reconstruction implies an extension of
static patch holography where the exterior region connecting the static patches
is included, and reconstructible from the two screens. A phase transition
occurs where there is an exchange of dominance between two competing quantum
extremal surfaces, leading to a transfer of the encoding of the exterior region
from one screen to the other. The effects in the bulk of integrating out
degrees of freedom from the screens are discussed.
|
[
{
"created": "Thu, 21 Mar 2024 23:55:21 GMT",
"version": "v1"
}
] |
2024-03-25
|
[
[
"Franken",
"Victor",
""
]
] |
Considering two antipodal observers in de Sitter space, we illustrate how spacetime connectivity between the holographic screens located on the (stretched) horizons emerges from holographic entanglement. To do so, we construct a covariant holographic entanglement entropy prescription in de Sitter space, including quantum corrections. While this prescription is inspired by the bilayer proposal, we argue that the monolayer proposal appears to be inconsistent. Entanglement wedge reconstruction implies an extension of static patch holography where the exterior region connecting the static patches is included, and reconstructible from the two screens. A phase transition occurs where there is an exchange of dominance between two competing quantum extremal surfaces, leading to a transfer of the encoding of the exterior region from one screen to the other. The effects in the bulk of integrating out degrees of freedom from the screens are discussed.
|
hep-th/9507140
| null |
J.M.F. Labastida, M. Mari\~no
|
Polynomial Invariants for SU(2) Monopoles
|
50 pages, uses phyzzx.tex, a minor tex problem has been fixed
|
Nucl.Phys. B456 (1995) 633-668
|
10.1016/0550-3213(95)00536-0
| null |
hep-th alg-geom dg-ga math.AG math.DG
| null |
We present an explicit expression for the topological invariants associated
to $SU(2)$ monopoles in the fundamental representation on spin four-manifolds.
The computation of these invariants is based on the analysis of their
corresponding topological quantum field theory, and it turns out that they can
be expressed in terms of Seiberg-Witten invariants. In this analysis we use
recent exact results on the moduli space of vacua of the untwisted $N=1$ and
$N=2$ supersymmetric counterparts of the topological quantum field theory under
consideration, as well as on electric-magnetic duality for $N=2$ supersymmetric
gauge theories.
|
[
{
"created": "Wed, 26 Jul 1995 12:46:28 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 1995 09:33:45 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Nov 1995 16:32:07 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Labastida",
"J. M. F.",
""
],
[
"Mariño",
"M.",
""
]
] |
We present an explicit expression for the topological invariants associated to $SU(2)$ monopoles in the fundamental representation on spin four-manifolds. The computation of these invariants is based on the analysis of their corresponding topological quantum field theory, and it turns out that they can be expressed in terms of Seiberg-Witten invariants. In this analysis we use recent exact results on the moduli space of vacua of the untwisted $N=1$ and $N=2$ supersymmetric counterparts of the topological quantum field theory under consideration, as well as on electric-magnetic duality for $N=2$ supersymmetric gauge theories.
|
0901.4304
|
Gerhart Seidl
|
Gerhart Seidl
|
Weakly coupled discretized gravity
|
12 pages, 3 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider discretized gravity in 4+2 dimensions compactified on a disk of
constant negative curvature. The curvature of the disk avoids the presence of
dangerous ultra-light scalar modes but comes also along with a high
multiplicity of states potentially jeopardizing a good strong-coupling behavior
of the discretized theory. We demonstrate that for Standard Model matter
propagating on the five-dimensional boundary submanifold of the disk, the
strong coupling scale, as seen by an observer, can be parametrically larger
than the local Planck scale. As a consequence, we obtain a description of
weakly coupled discretized gravity on the boundary that can be compared with
the continuum theory all the way up to the effective five-dimensional Planck
scale.
|
[
{
"created": "Tue, 27 Jan 2009 18:16:49 GMT",
"version": "v1"
}
] |
2009-01-31
|
[
[
"Seidl",
"Gerhart",
""
]
] |
We consider discretized gravity in 4+2 dimensions compactified on a disk of constant negative curvature. The curvature of the disk avoids the presence of dangerous ultra-light scalar modes but comes also along with a high multiplicity of states potentially jeopardizing a good strong-coupling behavior of the discretized theory. We demonstrate that for Standard Model matter propagating on the five-dimensional boundary submanifold of the disk, the strong coupling scale, as seen by an observer, can be parametrically larger than the local Planck scale. As a consequence, we obtain a description of weakly coupled discretized gravity on the boundary that can be compared with the continuum theory all the way up to the effective five-dimensional Planck scale.
|
hep-th/0511192
|
Maria Cristina Diamantini
|
M.C. Diamantini, P. Sodano and C.A. Trugenberger
|
Superconductors with Topological Order
|
4 pages, no figures
|
Eur.Phys.J. B53 (2006) 19
|
10.1140/epjb/e2006-00345-0
| null |
hep-th cond-mat.str-el
| null |
We propose a mechanism of superconductivity in which the order of the ground
state does not arise from the usual Landau mechanism of spontaneous symmetry
breaking but is rather of topological origin. The low-energy effective theory
is formulated in terms of emerging gauge fields rather than a local order
parameter and the ground state is degenerate on topologically non-trivial
manifolds. The simplest example of this mechanism of superconductivty is
concretely realized as global superconductivty in Josephson junction arrays.
|
[
{
"created": "Fri, 18 Nov 2005 15:48:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Diamantini",
"M. C.",
""
],
[
"Sodano",
"P.",
""
],
[
"Trugenberger",
"C. A.",
""
]
] |
We propose a mechanism of superconductivity in which the order of the ground state does not arise from the usual Landau mechanism of spontaneous symmetry breaking but is rather of topological origin. The low-energy effective theory is formulated in terms of emerging gauge fields rather than a local order parameter and the ground state is degenerate on topologically non-trivial manifolds. The simplest example of this mechanism of superconductivty is concretely realized as global superconductivty in Josephson junction arrays.
|
2112.00937
|
Jing-Bo Wang
|
JIngbo Wang
|
Topological Order of Quantum Gravity in $AdS_3$ Spacetime
|
5 pages, comments are welcome
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Topological order is a new type order that beyond Landau's symmetry breaking
theory. It has some interesting properties, such as producing quasi-particles
with fractional quantum numbers and fractional/Fermi statistics, robust gapless
boundary modes and emergent gauge excitations. In this essay, we will show that
the quantum gravity in $AdS_3$ spacetime can also have topological orders.
Actually the theory has all the three features that define the topological
order. We conjecture that quantum gravity in four dimension can also have
topological orders.
|
[
{
"created": "Thu, 2 Dec 2021 02:23:31 GMT",
"version": "v1"
}
] |
2021-12-03
|
[
[
"Wang",
"JIngbo",
""
]
] |
Topological order is a new type order that beyond Landau's symmetry breaking theory. It has some interesting properties, such as producing quasi-particles with fractional quantum numbers and fractional/Fermi statistics, robust gapless boundary modes and emergent gauge excitations. In this essay, we will show that the quantum gravity in $AdS_3$ spacetime can also have topological orders. Actually the theory has all the three features that define the topological order. We conjecture that quantum gravity in four dimension can also have topological orders.
|
0901.2568
|
Ishwaree Neupane
|
Ishwaree P. Neupane
|
Simple cosmological de Sitter solutions on dS$_4 \times Y_6$ spaces
|
15 pages, no figures; matches published version
|
Class. Quant. Grav.27:045011, 2010;
Class.Quant.Grav.27:045011,2010
|
10.1088/0264-9381/27/4/045011
|
UOC-TP 011/08
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Explicit time-dependent solutions of the 10D vacuum Einstein equations are
found for which spacetime is compactified on six-dimensional warped spaces. We
explicitly work out an example where the internal manifold is a six-dimensional
generalized space having positive, negative or zero scalar curvature, whose
base can be a five-sphere $S^5$ or an Einstein space $T^{1,1}=(S^2\times
S^2)\rtimes S^1$. In this paper, inflationary de Sitter solutions are found
just by solving the 10D vacuum Einstein equations. Our results further show
that the limitation with warped models studied to date has arisen partly from
an oversimplification of the 10D metric ansatz. We also give some explicit
examples of a non-singular warped compactification on de Sitter space dS$_4$.
|
[
{
"created": "Mon, 19 Jan 2009 19:57:48 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jun 2009 03:11:46 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Oct 2009 04:36:43 GMT",
"version": "v3"
},
{
"created": "Mon, 1 Feb 2010 10:22:09 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Neupane",
"Ishwaree P.",
""
]
] |
Explicit time-dependent solutions of the 10D vacuum Einstein equations are found for which spacetime is compactified on six-dimensional warped spaces. We explicitly work out an example where the internal manifold is a six-dimensional generalized space having positive, negative or zero scalar curvature, whose base can be a five-sphere $S^5$ or an Einstein space $T^{1,1}=(S^2\times S^2)\rtimes S^1$. In this paper, inflationary de Sitter solutions are found just by solving the 10D vacuum Einstein equations. Our results further show that the limitation with warped models studied to date has arisen partly from an oversimplification of the 10D metric ansatz. We also give some explicit examples of a non-singular warped compactification on de Sitter space dS$_4$.
|
1708.08730
|
Francisco Diego Mazzitelli
|
Cesar D. Fosco and Francisco D. Mazzitelli
|
Vacuum energy via dimensional reduction of functional determinants
|
19 pages, no figures
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply a `dimensional reduction' mechanism to the evaluation of the
functional integral for the vacuum energy of a real scalar field in the
presence of non-trivial backgrounds, in d+1 dimensions. The reduction is
implemented by applying a generalized version of Gelfand-Yaglom's theorem to
the corresponding functional determinant. The main outcome of that procedure is
an alternative representation for the Casimir energy, which involves one
spatial dimension less than the original problem. We show that, for some
configurations, important information about the reduced problem can be
obtained. We also show that the reduced problem allows for the introduction of
an approximation scheme which is novel within this context.
|
[
{
"created": "Tue, 29 Aug 2017 12:59:51 GMT",
"version": "v1"
}
] |
2017-08-30
|
[
[
"Fosco",
"Cesar D.",
""
],
[
"Mazzitelli",
"Francisco D.",
""
]
] |
We apply a `dimensional reduction' mechanism to the evaluation of the functional integral for the vacuum energy of a real scalar field in the presence of non-trivial backgrounds, in d+1 dimensions. The reduction is implemented by applying a generalized version of Gelfand-Yaglom's theorem to the corresponding functional determinant. The main outcome of that procedure is an alternative representation for the Casimir energy, which involves one spatial dimension less than the original problem. We show that, for some configurations, important information about the reduced problem can be obtained. We also show that the reduced problem allows for the introduction of an approximation scheme which is novel within this context.
|
0802.0784
|
Stoytcho Yazadjiev
|
Stoytcho S. Yazadjiev
|
Magnetized static black Saturn
|
LaTex, 9 pages
|
Phys.Rev.D77:127501,2008
|
10.1103/PhysRevD.77.127501
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new static solution to the 5D Einstein-Maxwell equations
describing a static black hole surrounded by a non-rotating dipole black ring.
The configuration is kept in equilibrium by an external magnetic field
interacting with the dipole charge of the black ring. The properties of the
black Saturn-like configuration are studied and the basic physical quantities
are calculated. The solution demonstrates 2-fold continuous non-uniqueness of
the 5D magnetized static neutral black objects for fixed total mass and Melvin
background.
|
[
{
"created": "Wed, 6 Feb 2008 12:55:04 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Yazadjiev",
"Stoytcho S.",
""
]
] |
We construct a new static solution to the 5D Einstein-Maxwell equations describing a static black hole surrounded by a non-rotating dipole black ring. The configuration is kept in equilibrium by an external magnetic field interacting with the dipole charge of the black ring. The properties of the black Saturn-like configuration are studied and the basic physical quantities are calculated. The solution demonstrates 2-fold continuous non-uniqueness of the 5D magnetized static neutral black objects for fixed total mass and Melvin background.
|
hep-th/0011183
|
Rabin Banerjee
|
Rabin Banerjee and Biswajit Chakraborty
|
The Translation Groups as Generators of Gauge Transformation in
B$\wedge$F Theory
|
LaTex, 11 pages, no figures, revised version to appear in Phys. Lett.
B
|
Phys.Lett. B502 (2001) 291-299
|
10.1016/S0370-2693(01)00159-9
| null |
hep-th
| null |
The translation group T(2), contained in Wigner's little group for massless
particles, is shown to generate gauge transformations in the Kalb-Ramond
theory, exactly as happens in Maxwell case. For the topologically massive
($B\wedge$F) gauge theory, both T(2) and T(3), act as the corresponding
generators.
|
[
{
"created": "Tue, 21 Nov 2000 07:35:41 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jan 2001 06:49:12 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Chakraborty",
"Biswajit",
""
]
] |
The translation group T(2), contained in Wigner's little group for massless particles, is shown to generate gauge transformations in the Kalb-Ramond theory, exactly as happens in Maxwell case. For the topologically massive ($B\wedge$F) gauge theory, both T(2) and T(3), act as the corresponding generators.
|
hep-th/9903141
|
Manuel Calixto
|
M. Calixto and V.Aldaya
|
Central extensions and quantum physics
|
20 pages, LaTeX, no figures; added material
| null | null |
SWAT-99-226
|
hep-th
| null |
The unitary implementation of a symmetry group $G$ of a classical system in
the corresponding quantum theory entails unavoidable deformations $\TG$ of $G$,
namely, central extensions by the typical phase invariance group U(1). The
appearance of central charges in the corresponding Lie-algebra quantum
commutators, as a consequence of non-trivial responses of the phase of the wave
function under symmetry transformations, lead to a quantum generation of extra
degrees of freedom with regard to the classical counterpart. In particular,
symmetries of the Hall effect, Yang-Mills and conformally invariant classical
field theories are affected when passing to the quantum realm.
|
[
{
"created": "Tue, 16 Mar 1999 17:09:49 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Nov 1999 00:37:26 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Calixto",
"M.",
""
],
[
"Aldaya",
"V.",
""
]
] |
The unitary implementation of a symmetry group $G$ of a classical system in the corresponding quantum theory entails unavoidable deformations $\TG$ of $G$, namely, central extensions by the typical phase invariance group U(1). The appearance of central charges in the corresponding Lie-algebra quantum commutators, as a consequence of non-trivial responses of the phase of the wave function under symmetry transformations, lead to a quantum generation of extra degrees of freedom with regard to the classical counterpart. In particular, symmetries of the Hall effect, Yang-Mills and conformally invariant classical field theories are affected when passing to the quantum realm.
|
hep-th/0412239
|
Konstantin Bobkov
|
Konstantin Bobkov
|
Volume Stabilization via $\alpha^\prime$ Corrections in Type IIB Theory
with Fluxes
|
20 pages, 4 figures, parts of introduction and conclusions are
modified
|
JHEP 0505:010,2005
|
10.1088/1126-6708/2005/05/010
| null |
hep-th
| null |
We consider the Type IIB string theory in the presence of various extra
$7/\bar 7$-brane pairs compactified on a warped Calabi-Yau threefold that
admits a conifold singularity. We demonstrate that the volume modulus can be
stabilized perturbatively at a non-supersymmetric $AdS_4/dS_4$ vacuum by the
effective potential that includes the stringy $(\alpha^\prime)^3$ correction
obtained by Becker {\it et al.} together with a combination of positive tension
and anomalous negative tension terms generated by the additional
7-brane-antibrane pairs.
|
[
{
"created": "Mon, 20 Dec 2004 20:20:56 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jan 2005 19:13:09 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jan 2005 21:29:26 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Bobkov",
"Konstantin",
""
]
] |
We consider the Type IIB string theory in the presence of various extra $7/\bar 7$-brane pairs compactified on a warped Calabi-Yau threefold that admits a conifold singularity. We demonstrate that the volume modulus can be stabilized perturbatively at a non-supersymmetric $AdS_4/dS_4$ vacuum by the effective potential that includes the stringy $(\alpha^\prime)^3$ correction obtained by Becker {\it et al.} together with a combination of positive tension and anomalous negative tension terms generated by the additional 7-brane-antibrane pairs.
|
1302.2210
|
Jerzy Jurkiewicz
|
J. Ambjorn, J. Gizbert-Studnicki, A.T. Goerlich, J. Jurkiewicz, R.
Loll
|
The transfer matrix method in four-dimensional causal dynamical
triangulations
|
6 pages, 6 figures, contribution to the MULTIVERSE conference,
Szczecin, Poland, September 2012
| null |
10.1063/1.4791727
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Causal Dynamical Triangulation model of quantum gravity (CDT) is a
proposition to evaluate the path integral over space-time geometries using a
lattice regularization with a discrete proper time and geometries realized as
simplicial manifolds. The model admits a Wick rotation to imaginary time for
each space-time configuration. Using computer simulations we determined the
phase structure of the model and discovered that it predicts a de Sitter phase
with a four-dimensional spherical semi-classical background geometry. The model
has a transfer matrix, relating spatial geometries at adjacent (discrete
lattice) times. The transfer matrix uniquely determines the theory. We show
that the measurements of the scale factor of the (CDT) universe are well
described by an effective transfer matrix where the matrix elements are
labelled only by the scale factor. Using computer simulations we determine the
effective transfer matrix elements and show how they relate to an effective
minisuperspace action at all scales.
|
[
{
"created": "Sat, 9 Feb 2013 09:48:30 GMT",
"version": "v1"
}
] |
2015-06-15
|
[
[
"Ambjorn",
"J.",
""
],
[
"Gizbert-Studnicki",
"J.",
""
],
[
"Goerlich",
"A. T.",
""
],
[
"Jurkiewicz",
"J.",
""
],
[
"Loll",
"R.",
""
]
] |
The Causal Dynamical Triangulation model of quantum gravity (CDT) is a proposition to evaluate the path integral over space-time geometries using a lattice regularization with a discrete proper time and geometries realized as simplicial manifolds. The model admits a Wick rotation to imaginary time for each space-time configuration. Using computer simulations we determined the phase structure of the model and discovered that it predicts a de Sitter phase with a four-dimensional spherical semi-classical background geometry. The model has a transfer matrix, relating spatial geometries at adjacent (discrete lattice) times. The transfer matrix uniquely determines the theory. We show that the measurements of the scale factor of the (CDT) universe are well described by an effective transfer matrix where the matrix elements are labelled only by the scale factor. Using computer simulations we determine the effective transfer matrix elements and show how they relate to an effective minisuperspace action at all scales.
|
hep-th/0409155
|
Christopher Pope
|
G.W. Gibbons, H. Lu, D.N. Page and C.N. Pope
|
Rotating Black Holes in Higher Dimensions with a Cosmological Constant
|
8 pages, Latex. Short version, with more compact notation, of
hep-th/0404008. To appear in Phys. Rev. Lett
|
Phys.Rev.Lett.93:171102,2004
|
10.1103/PhysRevLett.93.171102
|
DAMTP-2004-47, Alberta Thy 09-04, MIFP-04-09
|
hep-th
| null |
We present the metric for a rotating black hole with a cosmological constant
and with arbitrary angular momenta in all higher dimensions. The metric is
given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature
case, we also obtain smooth compact Einstein spaces on associated S^{D-2}
bundles over S^2, infinitely many for each odd D\ge 5. Applications to string
theory and M-theory are indicated.
|
[
{
"created": "Wed, 15 Sep 2004 11:14:09 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Gibbons",
"G. W.",
""
],
[
"Lu",
"H.",
""
],
[
"Page",
"D. N.",
""
],
[
"Pope",
"C. N.",
""
]
] |
We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature case, we also obtain smooth compact Einstein spaces on associated S^{D-2} bundles over S^2, infinitely many for each odd D\ge 5. Applications to string theory and M-theory are indicated.
|
hep-th/0502234
|
Pavel Buividovich
|
V. I. Kuvshinov, P. V. Buividovich
|
Fidelity and Wilson loop for quarks in confinement region
| null |
Acta Phys.Polon. B36 (2005) 195-200
| null | null |
hep-th
| null |
Connection between the stability of quantum motion in random fields and quark
confinement in QCD is investigated. The analogy between the fidelity and the
Wilson loop is conjectured, and the fidelity decay rates for different types of
quark motion are expressed in terms of the parameters which are commonly used
in phenomenological and lattice QCD.
|
[
{
"created": "Sat, 26 Feb 2005 12:31:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kuvshinov",
"V. I.",
""
],
[
"Buividovich",
"P. V.",
""
]
] |
Connection between the stability of quantum motion in random fields and quark confinement in QCD is investigated. The analogy between the fidelity and the Wilson loop is conjectured, and the fidelity decay rates for different types of quark motion are expressed in terms of the parameters which are commonly used in phenomenological and lattice QCD.
|
2005.11804
|
Israel Klich
|
Amr Ahmadain and Israel Klich
|
Emergent geometry and path integral optimization for a Lifshitz action
|
corrected typos
|
Phys. Rev. D 103, 105013 (2021)
|
10.1103/PhysRevD.103.105013
| null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Extending the background metric optimization procedure for Euclidean path
integrals of two-dimensional conformal field theories, introduced by Caputa et
al. (Phys. Rev. Lett. 119, 071602 (2017)), to a $z=2$ anisotropically
scale-invariant $(2+1)$-dimensional Lifshitz field theory of a free massless
scalar field, we find optimal geometries for static and dynamic correlation
functions. For the static correlation functions, the optimal background metric
is equivalent to an AdS metric on a Poincare patch, while for dynamical
correlation functions, we find Lifshitz like metric. This results suggest that
a MERA-like tensor network, perhaps without unitarity, would still be
considered an optimal background spacetime configuration for the numerical
description of this system, even though the classical action we start with is
not a conformal field theory.
|
[
{
"created": "Sun, 24 May 2020 17:19:20 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Mar 2021 20:47:07 GMT",
"version": "v2"
}
] |
2021-05-26
|
[
[
"Ahmadain",
"Amr",
""
],
[
"Klich",
"Israel",
""
]
] |
Extending the background metric optimization procedure for Euclidean path integrals of two-dimensional conformal field theories, introduced by Caputa et al. (Phys. Rev. Lett. 119, 071602 (2017)), to a $z=2$ anisotropically scale-invariant $(2+1)$-dimensional Lifshitz field theory of a free massless scalar field, we find optimal geometries for static and dynamic correlation functions. For the static correlation functions, the optimal background metric is equivalent to an AdS metric on a Poincare patch, while for dynamical correlation functions, we find Lifshitz like metric. This results suggest that a MERA-like tensor network, perhaps without unitarity, would still be considered an optimal background spacetime configuration for the numerical description of this system, even though the classical action we start with is not a conformal field theory.
|
hep-th/9205092
|
Barnich Glenn
|
Marc Henneaux, Claudio Teitelboim, J. David Vergara
|
Gauge Invariance for Generally Covariant Systems
|
41 pages, ULB-PMIF-92-03
|
Nucl.Phys. B387 (1992) 391-418
|
10.1016/0550-3213(92)90166-9
| null |
hep-th
| null |
Previous analyses on the gauge invariance of the action for a generally
covariant system are generalized. It is shown that if the action principle is
properly improved, there is as much gauge freedom at the endpoints for an
arbitrary gauge system as there is for a system with ``internal'' gauge
symmetries. The key point is to correctly identify the boundary conditions for
the allowed histories and to include the appropriate end-point contribution in
the action. The path integral is then discussed. It is proved that by employing
the improved action, one can use time-independent canonical gauges even in the
case of generally covariant theories. From the point of view of the action and
the path integral, there is thus no conceptual difference between general
covariance and ``ordinary gauge invariance''. The discussion is illustrated in
the case of the point particle, for which various canonical gauges are
considered.
|
[
{
"created": "Tue, 26 May 1992 11:11:25 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Henneaux",
"Marc",
""
],
[
"Teitelboim",
"Claudio",
""
],
[
"Vergara",
"J. David",
""
]
] |
Previous analyses on the gauge invariance of the action for a generally covariant system are generalized. It is shown that if the action principle is properly improved, there is as much gauge freedom at the endpoints for an arbitrary gauge system as there is for a system with ``internal'' gauge symmetries. The key point is to correctly identify the boundary conditions for the allowed histories and to include the appropriate end-point contribution in the action. The path integral is then discussed. It is proved that by employing the improved action, one can use time-independent canonical gauges even in the case of generally covariant theories. From the point of view of the action and the path integral, there is thus no conceptual difference between general covariance and ``ordinary gauge invariance''. The discussion is illustrated in the case of the point particle, for which various canonical gauges are considered.
|
1908.04120
|
Sergei Kuzenko
|
Sergei M. Kuzenko
|
Manifestly duality-invariant interactions in diverse dimensions
|
7 pages; V2: comments and references added
| null |
10.1016/j.physletb.2019.134995
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As an extension of the Ivanov-Zupnik approach to self-dual nonlinear
electrodynamics in four dimensions [1,2], we reformulate U(1) duality-invariant
nonlinear models for a gauge $(2p-1)$-form in $d=4p$ dimensions as field
theories with manifestly U(1) invariant self-interactions. This reformulation
is suitable to generate arbitrary duality-invariant nonlinear systems including
those with higher derivatives.
|
[
{
"created": "Mon, 12 Aug 2019 12:38:29 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2019 06:47:27 GMT",
"version": "v2"
}
] |
2019-10-09
|
[
[
"Kuzenko",
"Sergei M.",
""
]
] |
As an extension of the Ivanov-Zupnik approach to self-dual nonlinear electrodynamics in four dimensions [1,2], we reformulate U(1) duality-invariant nonlinear models for a gauge $(2p-1)$-form in $d=4p$ dimensions as field theories with manifestly U(1) invariant self-interactions. This reformulation is suitable to generate arbitrary duality-invariant nonlinear systems including those with higher derivatives.
|
hep-th/9903152
|
Adel Rezaei Aghdam
|
M. A. Jafarizadeh, A. Rezaei-Aghdam
|
Poisson-Lie T-Duality and Bianchi Type Algebras
|
16 pages, Latex; Some comments to the concluding section added,
references added
|
Phys.Lett. B458 (1999) 477-490
|
10.1016/S0370-2693(99)00571-7
| null |
hep-th
| null |
All Bianchi bialgebras have been obtained. By introducing a non-degenerate
adjoint invariant inner product over these bialgebras the associated Drinfeld
doubles have been constructed, then by calculating the coupling matrices for
these bialgebras several sigma-models with Poisson-Lie symmetry have been
obtained. Two simple examples as prototypes of Poisson-Lie dual models have
been given.
|
[
{
"created": "Wed, 17 Mar 1999 14:55:12 GMT",
"version": "v1"
},
{
"created": "Sat, 29 May 1999 06:58:16 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Jafarizadeh",
"M. A.",
""
],
[
"Rezaei-Aghdam",
"A.",
""
]
] |
All Bianchi bialgebras have been obtained. By introducing a non-degenerate adjoint invariant inner product over these bialgebras the associated Drinfeld doubles have been constructed, then by calculating the coupling matrices for these bialgebras several sigma-models with Poisson-Lie symmetry have been obtained. Two simple examples as prototypes of Poisson-Lie dual models have been given.
|
hep-th/9808020
|
Pesando Igor
|
I. Pesando
|
A k Gauge Fixed Type IIB Superstring Action on AdS_{5} X S_{5}
|
5 pages. Corrected some typos and added a COMPLETE explanation of why
kappa symmetry is fixed using a supersolvable algebra. FINAL version
pubblished in JHEP 11(1998)002
|
JHEP 9811:002,1998
|
10.1088/1126-6708/1998/11/002
|
DFTT-45/98
|
hep-th
| null |
We describe the type IIB supergravity background on AdS_{5} X S_{5} using the
potentials of AdS_{5|4} X S_{5} and we use the supersolvable algebra associated
to AdS_{5|4} to compute the k gauge fixed type IIB string action.
|
[
{
"created": "Wed, 5 Aug 1998 09:27:31 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Aug 1998 09:06:57 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Jan 1999 11:18:40 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Pesando",
"I.",
""
]
] |
We describe the type IIB supergravity background on AdS_{5} X S_{5} using the potentials of AdS_{5|4} X S_{5} and we use the supersolvable algebra associated to AdS_{5|4} to compute the k gauge fixed type IIB string action.
|
1105.4883
|
Yu Nakayama
|
Yu Nakayama
|
4D and 2D superconformal index with surface operator
|
22 pages, v3: typos corrected and references added
| null |
10.1007/JHEP08(2011)084
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the superconformal index of the N=4 super-Yang-Milles theory on S^3
X S^1 with the half BPS superconformal surface operator (defect) inserted at
the great circle of S^3. The half BPS superconformal surface operators preserve
the same supersymmetry as well as the symmetry of the chemical potential used
in the definition of the superconformal index, so the structure and the
parameterization of the superconformal index remain unaffected by the presence
of the surface operator. On the surface defect, a two-dimensional (4,4)
superconformal field theory resides, and the four-dimensional superconformal
index may be regarded as a superconformal index of the two-dimensional (4,4)
superconformal field theory coupled with the four-dimensional bulk system. We
construct the matrix model that computes the superconformal index with the
surface operator when it couples with the bulk N=4 super-Yang-Milles theory
through the defect hypermultiplets on it.
|
[
{
"created": "Tue, 24 May 2011 20:23:57 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2011 18:17:51 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Jul 2011 20:55:30 GMT",
"version": "v3"
}
] |
2015-05-28
|
[
[
"Nakayama",
"Yu",
""
]
] |
We study the superconformal index of the N=4 super-Yang-Milles theory on S^3 X S^1 with the half BPS superconformal surface operator (defect) inserted at the great circle of S^3. The half BPS superconformal surface operators preserve the same supersymmetry as well as the symmetry of the chemical potential used in the definition of the superconformal index, so the structure and the parameterization of the superconformal index remain unaffected by the presence of the surface operator. On the surface defect, a two-dimensional (4,4) superconformal field theory resides, and the four-dimensional superconformal index may be regarded as a superconformal index of the two-dimensional (4,4) superconformal field theory coupled with the four-dimensional bulk system. We construct the matrix model that computes the superconformal index with the surface operator when it couples with the bulk N=4 super-Yang-Milles theory through the defect hypermultiplets on it.
|
hep-th/0703213
|
Vladimir Zhukovsky
|
D.Ebert, A.V.Tyukov, V.Ch.Zhukovsky
|
Color superconductivity in the static Einstein Universe
| null |
Phys.Rev.D76:064029,2007
|
10.1103/PhysRevD.76.064029
|
Preprint HU-EP-07/02
|
hep-th
| null |
We study the behavior of quark and diquark condensates in dense quark matter
under the influence of a gravitational field adopting as a simple model the
static $D-$dimensional Einstein Universe. Calculations are performed in the
framework of the extended Nambu--Jona-Lasinio model at finite temperature and
quark density on the basis of the thermodynamic potential and the gap
equations. Quark and diquark condensates as functions of the chemical potential
and temperature at different values of the curvature have been studied. Phase
portraits of the system have been constructed.
|
[
{
"created": "Fri, 23 Mar 2007 14:51:12 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Ebert",
"D.",
""
],
[
"Tyukov",
"A. V.",
""
],
[
"Zhukovsky",
"V. Ch.",
""
]
] |
We study the behavior of quark and diquark condensates in dense quark matter under the influence of a gravitational field adopting as a simple model the static $D-$dimensional Einstein Universe. Calculations are performed in the framework of the extended Nambu--Jona-Lasinio model at finite temperature and quark density on the basis of the thermodynamic potential and the gap equations. Quark and diquark condensates as functions of the chemical potential and temperature at different values of the curvature have been studied. Phase portraits of the system have been constructed.
|
hep-th/9305117
| null |
J Ellis, N E Mavromatos and D V Nanopoulos
|
A String Derivation of the $\nd{S}$ matrix
|
CERN-TH.6897/93, 54 pages, 8 figures
| null | null | null |
hep-th gr-qc
| null |
We show that, in string theory, as a result of the $W_{\infty}$-symmetries
that preserve quantum coherence in the {\it full} string theory by coupling
different mass levels, transitions between initial- and final-state density
matrices for the effective light-particle theory involve non-Hamiltonian terms
$\nd{\delta H}$ in their time evolution, and are described by a $\nd{S}$ matrix
that is not factorizable as a product of field-theoretical $S$ and $S^\dagger$
matrices. We exhibit non-trivial string contributions to $\nd{\delta H}$ and
the $\nd{S}$ matrix associated with topological fluctuations related to the
coset model that describes an s-wave black hole. These include
monopole-antimonopole configurations on the world-sheet that correspond to
black hole creation and annihilation, and instantons that represent
back-reaction via quantum jumps between black holes of different mass, both of
which make the string supercritical. The resulting Liouville mode is
interpreted as the time variable, and the arrow of time is associated with
black hole decay. Since conformal invariance is broken in the non-critical
string theory, monopole and antimonopole, or instanton and anti-instanton, are
not separable, and the
|
[
{
"created": "Mon, 24 May 1993 14:12:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ellis",
"J",
""
],
[
"Mavromatos",
"N E",
""
],
[
"Nanopoulos",
"D V",
""
]
] |
We show that, in string theory, as a result of the $W_{\infty}$-symmetries that preserve quantum coherence in the {\it full} string theory by coupling different mass levels, transitions between initial- and final-state density matrices for the effective light-particle theory involve non-Hamiltonian terms $\nd{\delta H}$ in their time evolution, and are described by a $\nd{S}$ matrix that is not factorizable as a product of field-theoretical $S$ and $S^\dagger$ matrices. We exhibit non-trivial string contributions to $\nd{\delta H}$ and the $\nd{S}$ matrix associated with topological fluctuations related to the coset model that describes an s-wave black hole. These include monopole-antimonopole configurations on the world-sheet that correspond to black hole creation and annihilation, and instantons that represent back-reaction via quantum jumps between black holes of different mass, both of which make the string supercritical. The resulting Liouville mode is interpreted as the time variable, and the arrow of time is associated with black hole decay. Since conformal invariance is broken in the non-critical string theory, monopole and antimonopole, or instanton and anti-instanton, are not separable, and the
|
1506.05730
|
Augusto Sagnotti Prof.
|
S. Ferrara, A. Sagnotti
|
Some Pathways in non-Linear Supersymmetry: Special Geometry
Born-Infeld's, Cosmology and dualities
|
Contribution to the Proceedings of "Group Theory, Probability, and
the Structure of Spacetime", A Conference on the Occasion of Professor V.S.
Varadarajan's Retirement, UCLA Mathematics Department, November 7-9, 2014. To
appear in a special issue of "p-Adic Numbers, Ultrametric Analysis and
Applications". 35 pages LaTeX, 1 eps figure. Typos corrected, reference added
| null | null |
CERN-PH-TH/2015-136
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This review is devoted to some aspects of non-linear Supersymmetry in four
dimensions that can be efficiently described via nilpotent superfields, in both
rigid and curved Superspace. Our focus is mainly on the partial breaking of
rigid $N=2$ Supersymmetry and on a class of generalized Born-Infeld systems
that originate from Special Geometry and on some prototype cosmological models,
starting from the Supergravity embedding of Starobinsky inflation. However, as
an aside we also review briefly some interesting two-field extensions of the
Born-Infeld Lagrangian whose field equations enjoy extended duality symmetries.
|
[
{
"created": "Thu, 18 Jun 2015 16:00:28 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 2015 16:07:43 GMT",
"version": "v2"
}
] |
2015-07-23
|
[
[
"Ferrara",
"S.",
""
],
[
"Sagnotti",
"A.",
""
]
] |
This review is devoted to some aspects of non-linear Supersymmetry in four dimensions that can be efficiently described via nilpotent superfields, in both rigid and curved Superspace. Our focus is mainly on the partial breaking of rigid $N=2$ Supersymmetry and on a class of generalized Born-Infeld systems that originate from Special Geometry and on some prototype cosmological models, starting from the Supergravity embedding of Starobinsky inflation. However, as an aside we also review briefly some interesting two-field extensions of the Born-Infeld Lagrangian whose field equations enjoy extended duality symmetries.
|
hep-th/9710156
|
Peter Johnson
|
E.J. Beggs (Swansea), P.R. Johnson (Saclay)
|
Inverse scattering and the symplectic form for sine-Gordon solitons
|
25 pages, latex
| null | null |
SWAT 96-97/170
|
hep-th
| null |
We consider the canonical symplectic form for sine-Gordon evaluated
explicitly on the solitons of the model. The integral over space in the form,
which arises because the canonical argument uses the Lagrangian density, is
done explicitly in terms of functions arising in the group doublecrossproduct
formulation of the inverse scattering procedure, and we are left with a simple
expression given by two boundary terms. The expression is then evaluated
explicitly in terms of the changes in the positions and momenta of the
solitons, and we find agreement with a result of Babelon and Bernard who have
evaluated the form using a different argument, where it is diagonal in terms of
`in' or `out' co-ordinates. Using the result, we also investigate the higher
conserved charges within the inverse scattering framework, check that they
Poisson commute and evaluate them on the soliton solutions.
|
[
{
"created": "Mon, 20 Oct 1997 17:49:01 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Beggs",
"E. J.",
"",
"Swansea"
],
[
"Johnson",
"P. R.",
"",
"Saclay"
]
] |
We consider the canonical symplectic form for sine-Gordon evaluated explicitly on the solitons of the model. The integral over space in the form, which arises because the canonical argument uses the Lagrangian density, is done explicitly in terms of functions arising in the group doublecrossproduct formulation of the inverse scattering procedure, and we are left with a simple expression given by two boundary terms. The expression is then evaluated explicitly in terms of the changes in the positions and momenta of the solitons, and we find agreement with a result of Babelon and Bernard who have evaluated the form using a different argument, where it is diagonal in terms of `in' or `out' co-ordinates. Using the result, we also investigate the higher conserved charges within the inverse scattering framework, check that they Poisson commute and evaluate them on the soliton solutions.
|
0805.2220
|
Bibhas Majhi Ranjan
|
Rabin Banerjee and Bibhas Ranjan Majhi
|
Quantum Tunneling Beyond Semiclassical Approximation
|
LaTex, 17 pages, no figures, Important changes in section 3, new
references added, version to appear in JHEP
|
JHEP 0806:095,2008
|
10.1088/1126-6708/2008/06/095
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/3.0/
|
Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical
approximation is analysed. We compute all quantum corrections in the single
particle action revealing that these are proportional to the usual
semiclassical contribution. We show that a simple choice of the proportionality
constants reproduces the one loop back reaction effect in the spacetime, found
by conformal field theory methods, which modifies the Hawking temperature of
the black hole. Using the law of black hole mechanics we give the corrections
to the Bekenstein-Hawking area law following from the modified Hawking
temperature. Some examples are explicitly worked out.
|
[
{
"created": "Thu, 15 May 2008 07:01:07 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jun 2008 07:29:32 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Majhi",
"Bibhas Ranjan",
""
]
] |
Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical contribution. We show that a simple choice of the proportionality constants reproduces the one loop back reaction effect in the spacetime, found by conformal field theory methods, which modifies the Hawking temperature of the black hole. Using the law of black hole mechanics we give the corrections to the Bekenstein-Hawking area law following from the modified Hawking temperature. Some examples are explicitly worked out.
|
1612.07370
|
Michael Enciso Michael Enciso
|
Michael Enciso
|
Logarithms and Volumes of Polytopes
|
19 pages, 8 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Describing the geometry of the dual amplituhedron without reference to a
particular triangulation is an open problem. In this note we introduce a new
way of determining the volume of the tree-level NMHV dual amplituhedron. We
show that certain contour integrals of logarithms serve as natural building
blocks for computing this volume as well as the volumes of general polytopes in
any dimension. These building blocks encode the geometry of the underlying
polytopes in a triangulation-independent way, and make identities between
different representations of the amplitudes manifest.
|
[
{
"created": "Wed, 21 Dec 2016 22:21:39 GMT",
"version": "v1"
}
] |
2016-12-23
|
[
[
"Enciso",
"Michael",
""
]
] |
Describing the geometry of the dual amplituhedron without reference to a particular triangulation is an open problem. In this note we introduce a new way of determining the volume of the tree-level NMHV dual amplituhedron. We show that certain contour integrals of logarithms serve as natural building blocks for computing this volume as well as the volumes of general polytopes in any dimension. These building blocks encode the geometry of the underlying polytopes in a triangulation-independent way, and make identities between different representations of the amplitudes manifest.
|
hep-th/0309070
|
Kokorelis
|
Christos Kokorelis
|
N=1 Locally Supersymmetric Standard Models from Intersecting Branes
|
35 pages, 3 figures, no changes, table 12 and section 8 added
| null | null |
FTUAM-03-30, IFT-UAM/CSIC-03-16
|
hep-th hep-ph
| null |
We construct four dimensional intersecting D6-brane models that have locally
the spectrum of the N=1 Supersymmetric Standard Model. All open {\em visible}
string sectors share the same N=1 supersymmetry. As expected in these
supersymmetric classes of models, where the D6-branes wrap a toroidal
orientifold of type IIA, the hierarchy may be stabilized if the string scale is
low, e.g. below 30 TeV. We analyze the breaking of supersymmetry in the
vicinity of the supersymmetric point by turning on complex structure
deformations as Fayet-Iliopoulos terms. Positive masses for all squarks and
sleptons, to avoid charge/colour breaking minima, may be reached when also two
loop contributions may be included. In the ultimate version of the present
models N=1 supersymmetry may be broken by gauge mediation. The constructions
with four, five and six stacks of D6-branes at $M_s$ are build directly. Next
by the use of brane recombination we are able to show that there is a
continuous, RR homology flow, between six, five and four stack models.
Moreover, we examine the gauge coupling constants of the Standard Model
$SU(3)_C$, $SU(2)_L$, $U(1)_Y$ at the string scale in the presence of a
non-zero antisymmetric NS B-field.
|
[
{
"created": "Sat, 6 Sep 2003 18:33:13 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Sep 2003 17:52:39 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Kokorelis",
"Christos",
""
]
] |
We construct four dimensional intersecting D6-brane models that have locally the spectrum of the N=1 Supersymmetric Standard Model. All open {\em visible} string sectors share the same N=1 supersymmetry. As expected in these supersymmetric classes of models, where the D6-branes wrap a toroidal orientifold of type IIA, the hierarchy may be stabilized if the string scale is low, e.g. below 30 TeV. We analyze the breaking of supersymmetry in the vicinity of the supersymmetric point by turning on complex structure deformations as Fayet-Iliopoulos terms. Positive masses for all squarks and sleptons, to avoid charge/colour breaking minima, may be reached when also two loop contributions may be included. In the ultimate version of the present models N=1 supersymmetry may be broken by gauge mediation. The constructions with four, five and six stacks of D6-branes at $M_s$ are build directly. Next by the use of brane recombination we are able to show that there is a continuous, RR homology flow, between six, five and four stack models. Moreover, we examine the gauge coupling constants of the Standard Model $SU(3)_C$, $SU(2)_L$, $U(1)_Y$ at the string scale in the presence of a non-zero antisymmetric NS B-field.
|
hep-th/0603255
|
Neil D. Lambert
|
Neil Lambert and Peter West
|
Enhanced Coset Symmetries and Higher Derivative Corrections
|
37 pages Latex. Reference added and other minor corrections
|
Phys.Rev.D74:065002,2006
|
10.1103/PhysRevD.74.065002
| null |
hep-th
| null |
After dimensional reduction to three dimensions, the lowest order effective
actions for pure gravity, M-theory and the Bosonic string admit an enhanced
symmetry group. In this paper we initiate study of how this enhancement is
affected by the inclusion of higher derivative terms. In particular we show
that the coefficients of the scalar fields associated to the Cartan subalgebra
are given by weights of the enhanced symmetry group.
|
[
{
"created": "Fri, 31 Mar 2006 17:21:09 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jun 2006 22:03:18 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Aug 2006 11:00:39 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Lambert",
"Neil",
""
],
[
"West",
"Peter",
""
]
] |
After dimensional reduction to three dimensions, the lowest order effective actions for pure gravity, M-theory and the Bosonic string admit an enhanced symmetry group. In this paper we initiate study of how this enhancement is affected by the inclusion of higher derivative terms. In particular we show that the coefficients of the scalar fields associated to the Cartan subalgebra are given by weights of the enhanced symmetry group.
|
2002.09019
|
Yunfeng Jiang
|
Zoltan Bajnok, Jesper Lykke Jacobsen, Yunfeng Jiang, Rafael I.
Nepomechie, Yang Zhang
|
Cylinder partition function of the 6-vertex model from algebraic
geometry
|
More explanations added, a new appendix added, published version
| null |
10.1007/JHEP06(2020)169
|
CERN-TH-2020-019, UMTG-303, USTC-ICTS/PCFT-20-04
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the exact partition function of the isotropic 6-vertex model on a
cylinder geometry with free boundary conditions, for lattices of intermediate
size, using Bethe ansatz and algebraic geometry. We perform the computations in
both the open and closed channels. We also consider the partial thermodynamic
limits, whereby in the open (closed) channel, the open (closed) direction is
kept small while the other direction becomes large. We compute the zeros of the
partition function in the two partial thermodynamic limits, and compare with
the condensation curves.
|
[
{
"created": "Thu, 20 Feb 2020 21:11:47 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Mar 2020 08:35:17 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jul 2020 20:06:32 GMT",
"version": "v3"
}
] |
2020-07-24
|
[
[
"Bajnok",
"Zoltan",
""
],
[
"Jacobsen",
"Jesper Lykke",
""
],
[
"Jiang",
"Yunfeng",
""
],
[
"Nepomechie",
"Rafael I.",
""
],
[
"Zhang",
"Yang",
""
]
] |
We compute the exact partition function of the isotropic 6-vertex model on a cylinder geometry with free boundary conditions, for lattices of intermediate size, using Bethe ansatz and algebraic geometry. We perform the computations in both the open and closed channels. We also consider the partial thermodynamic limits, whereby in the open (closed) channel, the open (closed) direction is kept small while the other direction becomes large. We compute the zeros of the partition function in the two partial thermodynamic limits, and compare with the condensation curves.
|
hep-th/0303005
|
Dorje C. Brody
|
Carl M. Bender, Dorje C. Brody and Hugh F. Jones
|
Must a Hamiltonian be Hermitian?
|
Revised version to appear in American Journal of Physics
|
Am.J.Phys. 71 (2003) 1095-1102
|
10.1119/1.1574043
| null |
hep-th
| null |
A consistent physical theory of quantum mechanics can be built on a complex
Hamiltonian that is not Hermitian but instead satisfies the physical condition
of space-time reflection symmetry (PT symmetry). Thus, there are infinitely
many new Hamiltonians that one can construct that might explain experimental
data. One would think that a quantum theory based on a non-Hermitian
Hamiltonian violates unitarity. However, if PT symmetry is not broken, it is
possible to use a previously unnoticed physical symmetry of the Hamiltonian to
construct an inner product whose associated norm is positive definite. This
construction is general and works for any PT-symmetric Hamiltonian. The
dynamics is governed by unitary time evolution. This formulation does not
conflict with the requirements of conventional quantum mechanics. There are
many possible observable and experimental consequences of extending quantum
mechanics into the complex domain, both in particle physics and in solid state
physics.
|
[
{
"created": "Sun, 2 Mar 2003 14:58:05 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Mar 2003 11:27:56 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bender",
"Carl M.",
""
],
[
"Brody",
"Dorje C.",
""
],
[
"Jones",
"Hugh F.",
""
]
] |
A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but instead satisfies the physical condition of space-time reflection symmetry (PT symmetry). Thus, there are infinitely many new Hamiltonians that one can construct that might explain experimental data. One would think that a quantum theory based on a non-Hermitian Hamiltonian violates unitarity. However, if PT symmetry is not broken, it is possible to use a previously unnoticed physical symmetry of the Hamiltonian to construct an inner product whose associated norm is positive definite. This construction is general and works for any PT-symmetric Hamiltonian. The dynamics is governed by unitary time evolution. This formulation does not conflict with the requirements of conventional quantum mechanics. There are many possible observable and experimental consequences of extending quantum mechanics into the complex domain, both in particle physics and in solid state physics.
|
1606.05860
|
Shri Krishna Dr.
|
S. Krishna
|
N= 4 Supersymmetric Quantum Mechanical Model: Novel Symmetries
|
LaTeX file, 18 pages, version to appear in IJMPA
|
Int. J. Mod. Phys. A 32: 1750055 [p01--p18], 2017
|
10.1142/S0217751X17500555
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss a set of novel discrete symmetry transformations of the N = 4
supersymmetric quantum mechanical model of a charged particle moving on a
sphere in the background of Dirac magnetic monopole. The usual five continuous
symmetries (and their conserved Noether charges) and two discrete symmetries
together provide the physical realizations of the de Rham cohomological
operators of differential geometry. We have also exploited the supervariable
approach to derive the nilpotent N = 4 SUSY transformations and provided the
geometrical interpretation in the language of translational generators along
the Grassmannian directions onto (1, 4)-dimensional supermanifold.
|
[
{
"created": "Sun, 19 Jun 2016 12:15:49 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2017 07:07:57 GMT",
"version": "v2"
}
] |
2017-03-27
|
[
[
"Krishna",
"S.",
""
]
] |
We discuss a set of novel discrete symmetry transformations of the N = 4 supersymmetric quantum mechanical model of a charged particle moving on a sphere in the background of Dirac magnetic monopole. The usual five continuous symmetries (and their conserved Noether charges) and two discrete symmetries together provide the physical realizations of the de Rham cohomological operators of differential geometry. We have also exploited the supervariable approach to derive the nilpotent N = 4 SUSY transformations and provided the geometrical interpretation in the language of translational generators along the Grassmannian directions onto (1, 4)-dimensional supermanifold.
|
hep-th/0006091
|
Alessandro Tomasiello
|
L. Bonora, M. Schnabl, M.M. Sheikh-Jabbari, A. Tomasiello
|
Noncommutative SO(n) and Sp(n) Gauge Theories
|
17 pages; considerations about fermions added and some minor changes
|
Nucl.Phys.B589:461-474,2000
|
10.1016/S0550-3213(00)00527-7
|
SISSA 64/00/EP/FM
|
hep-th
| null |
We study the generalization of noncommutative gauge theories to the case of
orthogonal and symplectic groups. We find out that this is possible, since we
are allowed to define orthogonal and symplectic subgroups of noncommutative
unitary gauge transformations even though the gauge potentials and gauge
transformations are not valued in the orthogonal and symplectic subalgebras of
the Lie algebra of antihermitean matrices. Our construction relies on an
antiautomorphism of the basic noncommutative algebra of functions which
generalizes the charge conjugation operator of ordinary field theory. We show
that the corresponding noncommutative picture from low energy string theory is
obtained via orientifold projection in the presence of a non-trivial NSNS
B-field.
|
[
{
"created": "Tue, 13 Jun 2000 18:26:00 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 2000 17:55:30 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Bonora",
"L.",
""
],
[
"Schnabl",
"M.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Tomasiello",
"A.",
""
]
] |
We study the generalization of noncommutative gauge theories to the case of orthogonal and symplectic groups. We find out that this is possible, since we are allowed to define orthogonal and symplectic subgroups of noncommutative unitary gauge transformations even though the gauge potentials and gauge transformations are not valued in the orthogonal and symplectic subalgebras of the Lie algebra of antihermitean matrices. Our construction relies on an antiautomorphism of the basic noncommutative algebra of functions which generalizes the charge conjugation operator of ordinary field theory. We show that the corresponding noncommutative picture from low energy string theory is obtained via orientifold projection in the presence of a non-trivial NSNS B-field.
|
hep-th/0306172
|
Aleksandr Zheltukhin
|
I. Bengtsson and A.A. Zheltukhin
|
Wess-Zumino actions and Dirichlet Boundary Conditions for Super p-branes
with Exotic Fractions of Supersymmetry
|
Latex, 13 pages
|
Phys.Lett. B570 (2003) 222-230
|
10.1016/j.physletb.2003.07.056
| null |
hep-th
| null |
The general solutions in the models of closed and open superstring and super
p-branes with exotic fractions of the N=1 supersymmetry are considered and the
spontaneously broken character of the $OSp(1,2M)$ symmetry of the models is
established. It is shown that extending these models by Wess-Zumino terms
generates the Dirichlet boundary conditions for superstring and super p-branes.
Using the generalized Wess-Zumino terms new $OSp(1,2M)$ invariant super p-brane
and Dp-brane-like actions preserving $\frac{M-1}{M}$ fraction of supersymmetry
are proposed. For M=32 these models suggest new superbrane vacua of M-theory
preserving 31 from 32 global supersymmetries.
|
[
{
"created": "Wed, 18 Jun 2003 16:43:39 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bengtsson",
"I.",
""
],
[
"Zheltukhin",
"A. A.",
""
]
] |
The general solutions in the models of closed and open superstring and super p-branes with exotic fractions of the N=1 supersymmetry are considered and the spontaneously broken character of the $OSp(1,2M)$ symmetry of the models is established. It is shown that extending these models by Wess-Zumino terms generates the Dirichlet boundary conditions for superstring and super p-branes. Using the generalized Wess-Zumino terms new $OSp(1,2M)$ invariant super p-brane and Dp-brane-like actions preserving $\frac{M-1}{M}$ fraction of supersymmetry are proposed. For M=32 these models suggest new superbrane vacua of M-theory preserving 31 from 32 global supersymmetries.
|
hep-th/0208080
|
Parampreet Singh
|
Parampreet Singh, Naresh Dadhich
|
Localized gravity on FRW branes
|
RevTeX, 10 pages, 2 figures
| null | null | null |
hep-th astro-ph gr-qc
| null |
We study the system of Schwarzschild anti de Sitter (S-AdS) bulk and FRW
brane for localization of gravity; i.e. zero mass gravitons having ground state
on the brane, and thereby recovering the Einstein gravity with high energy
correction. It has been known that gravity is not localized on AdS brane with
AdS bulk. We prove the general result that gravity is not localized for dynamic
branes whenever Lambda_4 < 0, and is localized for the curvature index k = 1
only when Lambda_4 > 0 and black hole mass M not equal 0, else it is localized
for all other FRW models. If the localization is taken as the brane world
compatibility criterion for cosmological models, then it would predict that
negative cosmological constant on the brane is not sustainable.
|
[
{
"created": "Mon, 12 Aug 2002 09:51:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Singh",
"Parampreet",
""
],
[
"Dadhich",
"Naresh",
""
]
] |
We study the system of Schwarzschild anti de Sitter (S-AdS) bulk and FRW brane for localization of gravity; i.e. zero mass gravitons having ground state on the brane, and thereby recovering the Einstein gravity with high energy correction. It has been known that gravity is not localized on AdS brane with AdS bulk. We prove the general result that gravity is not localized for dynamic branes whenever Lambda_4 < 0, and is localized for the curvature index k = 1 only when Lambda_4 > 0 and black hole mass M not equal 0, else it is localized for all other FRW models. If the localization is taken as the brane world compatibility criterion for cosmological models, then it would predict that negative cosmological constant on the brane is not sustainable.
|
1912.01006
|
Mykola Dedushenko
|
Mykola Dedushenko and Yifan Wang
|
4d/2d $\rightarrow $ 3d/1d: A song of protected operator algebras
|
44 pages plus references, 4 figures, 2 tables; v2: references added
| null | null |
CALT-TH 2019-041, PUPT-2602
|
hep-th math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Superconformal field theories (SCFT) are known to possess solvable yet
nontrivial sectors in their full operator algebras. Two prime examples are the
chiral algebra sector on a two dimensional plane in four dimensional
$\mathcal{N}=2$ SCFTs, and the topological quantum mechanics (TQM) sector on a
line in three dimensional $\mathcal{N}=4$ SCFTs. Under Weyl transformation,
they respectively map to operator algebras on a great torus in $S^1\times S^3$
and a great circle in $S^3$, and are naturally related by reduction along the
$S^1$ factor, which amounts to taking the Cardy (high-temperature) limit of the
four dimensional theory on $S^1\times S^3$. We elaborate on this relation by
explicit examples that involve both Lagrangian and non-Lagrangian theories in
four dimensions, where the chiral algebra sector is generally described by a
certain W-algebra, while the three dimensional descendant SCFT always has a
(mirror) Lagrangian description. By taking into account a subtle R-symmetry
mixing, we provide explicit dictionaries between selected operator product
expansion (OPE) data in the four and three dimensional SCFTs, which we verify
in the examples using recent localization results in four and three dimensions.
Our methods thus provide nontrivial support for various chiral algebra
proposals in the literature. Along the way, we also identify three dimensional
mirrors for Argyres-Douglas theories of type $(A_1, D_{2n+1})$ reduced on
$S^1$, and find more evidence for earlier proposals in the case of $(A_1,
A_{2n-2})$, which both realize certain superconformal boundary conditions for
the four dimensional $\mathcal{N}=4$ super-Yang-Mills. This is a companion
paper to arXiv:1911.05741.
|
[
{
"created": "Mon, 2 Dec 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Dec 2019 18:20:50 GMT",
"version": "v2"
}
] |
2019-12-24
|
[
[
"Dedushenko",
"Mykola",
""
],
[
"Wang",
"Yifan",
""
]
] |
Superconformal field theories (SCFT) are known to possess solvable yet nontrivial sectors in their full operator algebras. Two prime examples are the chiral algebra sector on a two dimensional plane in four dimensional $\mathcal{N}=2$ SCFTs, and the topological quantum mechanics (TQM) sector on a line in three dimensional $\mathcal{N}=4$ SCFTs. Under Weyl transformation, they respectively map to operator algebras on a great torus in $S^1\times S^3$ and a great circle in $S^3$, and are naturally related by reduction along the $S^1$ factor, which amounts to taking the Cardy (high-temperature) limit of the four dimensional theory on $S^1\times S^3$. We elaborate on this relation by explicit examples that involve both Lagrangian and non-Lagrangian theories in four dimensions, where the chiral algebra sector is generally described by a certain W-algebra, while the three dimensional descendant SCFT always has a (mirror) Lagrangian description. By taking into account a subtle R-symmetry mixing, we provide explicit dictionaries between selected operator product expansion (OPE) data in the four and three dimensional SCFTs, which we verify in the examples using recent localization results in four and three dimensions. Our methods thus provide nontrivial support for various chiral algebra proposals in the literature. Along the way, we also identify three dimensional mirrors for Argyres-Douglas theories of type $(A_1, D_{2n+1})$ reduced on $S^1$, and find more evidence for earlier proposals in the case of $(A_1, A_{2n-2})$, which both realize certain superconformal boundary conditions for the four dimensional $\mathcal{N}=4$ super-Yang-Mills. This is a companion paper to arXiv:1911.05741.
|
hep-th/0505046
|
Martin Kruczenski
|
Sergio Benvenuti and Martin Kruczenski
|
Semiclassical strings in Sasaki-Einstein manifolds and long operators in
N=1 gauge theories
|
44 pages, LaTeX, 9 figures. v2: References added
|
JHEP 0610 (2006) 051
|
10.1088/1126-6708/2006/10/051
| null |
hep-th
| null |
We study the AdS/CFT relation between an infinite class of 5-d Ypq
Sasaki-Einstein metrics and the corresponding quiver theories. The long BPS
operators of the field theories are matched to massless geodesics in the
geometries, providing a test of AdS/CFT for these cases. Certain small
fluctuations (in the BMN sense) can also be successfully compared. We then go
further and find, using an appropriate limit, a reduced action, first order in
time derivatives, which describes strings with large R-charge. In the field
theory we consider holomorphic operators with large winding numbers around the
quiver and find, interestingly, that, after certain simplifying assumptions,
they can be described effectively as strings moving in a particular metric.
Although not equal, the metric is similar to the one in the bulk. We find it
encouraging that a string picture emerges directly from the field theory and
discuss possible ways to improve the agreement.
|
[
{
"created": "Thu, 5 May 2005 19:20:24 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Mar 2006 16:57:21 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Benvenuti",
"Sergio",
""
],
[
"Kruczenski",
"Martin",
""
]
] |
We study the AdS/CFT relation between an infinite class of 5-d Ypq Sasaki-Einstein metrics and the corresponding quiver theories. The long BPS operators of the field theories are matched to massless geodesics in the geometries, providing a test of AdS/CFT for these cases. Certain small fluctuations (in the BMN sense) can also be successfully compared. We then go further and find, using an appropriate limit, a reduced action, first order in time derivatives, which describes strings with large R-charge. In the field theory we consider holomorphic operators with large winding numbers around the quiver and find, interestingly, that, after certain simplifying assumptions, they can be described effectively as strings moving in a particular metric. Although not equal, the metric is similar to the one in the bulk. We find it encouraging that a string picture emerges directly from the field theory and discuss possible ways to improve the agreement.
|
1703.00421
|
Henrik Johansson
|
Marco Chiodaroli, Murat Gunaydin, Henrik Johansson and Radu Roiban
|
Explicit Formulae for Yang-Mills-Einstein Amplitudes from the Double
Copy
|
36 pages, 3 figures, v2: minor corrections, journal version
| null |
10.1007/JHEP07(2017)002
|
UUITP-07/17, NORDITA-2017-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the double-copy construction of Yang-Mills-Einstein theories formulated
in our earlier work, we obtain compact presentations for single-trace
Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an
arbitrary number of gluons. These are written as linear combinations of
color-ordered Yang-Mills trees, where the coefficients are given by
color/kinematics-satisfying numerators in a Yang-Mills+\phi^3 theory. The
construction outlined in this paper holds in general dimension and extends
straightforwardly to supergravity theories. For one, two, and three external
gravitons, our expressions give identical or simpler presentations of
amplitudes already constructed through string-theory considerations or the
scattering equations formalism. Our results are based on color/kinematics
duality and gauge invariance, and strongly hint at a recursive structure
underlying the single-trace amplitudes with an arbitrary number of gravitons.
For the single-graviton case, we give amplitudes to any loop order and obtain,
through gauge invariance, new loop-level amplitude relations for Yang-Mills
theory.
|
[
{
"created": "Wed, 1 Mar 2017 18:10:58 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2017 15:47:33 GMT",
"version": "v2"
}
] |
2017-08-25
|
[
[
"Chiodaroli",
"Marco",
""
],
[
"Gunaydin",
"Murat",
""
],
[
"Johansson",
"Henrik",
""
],
[
"Roiban",
"Radu",
""
]
] |
Using the double-copy construction of Yang-Mills-Einstein theories formulated in our earlier work, we obtain compact presentations for single-trace Yang-Mills-Einstein tree amplitudes with up to five external gravitons and an arbitrary number of gluons. These are written as linear combinations of color-ordered Yang-Mills trees, where the coefficients are given by color/kinematics-satisfying numerators in a Yang-Mills+\phi^3 theory. The construction outlined in this paper holds in general dimension and extends straightforwardly to supergravity theories. For one, two, and three external gravitons, our expressions give identical or simpler presentations of amplitudes already constructed through string-theory considerations or the scattering equations formalism. Our results are based on color/kinematics duality and gauge invariance, and strongly hint at a recursive structure underlying the single-trace amplitudes with an arbitrary number of gravitons. For the single-graviton case, we give amplitudes to any loop order and obtain, through gauge invariance, new loop-level amplitude relations for Yang-Mills theory.
|
2312.17067
|
Siddharth Prabhu
|
Siddharth G. Prabhu
|
Conformality of non-conformal correlators
|
34+8=42 pages, 13 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that position space correlators of a Poincare invariant quantum field
theory can be recast in terms of conformally invariant correlators, in other
words, as functions of conformal cross ratios. In particular, we show that
correlators of massless fields in flat spacetimes with $n-$point interactions
can be expressed as position space soft limits of conformally invariant
correlators with $(n+1)-$point interactions. We show that this correspondence
applies at the level of every Feynman diagram that appears in the perturbative
expansion of the correlators in the respective coupling constants. We apply
this method to find exact answers for some Feynman diagrams including several
loop examples. We also show that the analogous correlators for massive fields
can be expressed as infinite sums of conformal correlators.
|
[
{
"created": "Thu, 28 Dec 2023 15:27:24 GMT",
"version": "v1"
}
] |
2023-12-29
|
[
[
"Prabhu",
"Siddharth G.",
""
]
] |
We show that position space correlators of a Poincare invariant quantum field theory can be recast in terms of conformally invariant correlators, in other words, as functions of conformal cross ratios. In particular, we show that correlators of massless fields in flat spacetimes with $n-$point interactions can be expressed as position space soft limits of conformally invariant correlators with $(n+1)-$point interactions. We show that this correspondence applies at the level of every Feynman diagram that appears in the perturbative expansion of the correlators in the respective coupling constants. We apply this method to find exact answers for some Feynman diagrams including several loop examples. We also show that the analogous correlators for massive fields can be expressed as infinite sums of conformal correlators.
|
2102.00008
|
Andrea Fontanella
|
Andrea Fontanella and Juan Miguel Nieto Garc\'ia
|
Light-Cone Gauge in Non-Relativistic AdS$_5\times$S$^5$ String Theory
|
28 pages. v5: major revision. Version accepted for publication in
JHEP
|
J. High Energ. Phys. 2023, 53 (2023)
|
10.1007/JHEP11(2023)053
|
HU-EP-21/02, DMUS-MP-21/01
|
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We discuss the non-relativistic limit of string theory in AdS$_5\times$S$^5$
for different choices of embedding coordinates. We show that, if we consider
Cartesian coordinates, the action of fluctuations around the twisted BMN-like
string found in arXiv:2109.13240 in uniform light-cone gauge becomes the one of
free fields at large string tension and large AdS$_5$ radius.
|
[
{
"created": "Fri, 29 Jan 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2021 18:34:08 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Mar 2021 10:15:15 GMT",
"version": "v3"
},
{
"created": "Wed, 29 Sep 2021 13:06:21 GMT",
"version": "v4"
},
{
"created": "Thu, 26 Oct 2023 14:04:43 GMT",
"version": "v5"
}
] |
2023-11-14
|
[
[
"Fontanella",
"Andrea",
""
],
[
"García",
"Juan Miguel Nieto",
""
]
] |
We discuss the non-relativistic limit of string theory in AdS$_5\times$S$^5$ for different choices of embedding coordinates. We show that, if we consider Cartesian coordinates, the action of fluctuations around the twisted BMN-like string found in arXiv:2109.13240 in uniform light-cone gauge becomes the one of free fields at large string tension and large AdS$_5$ radius.
|
2006.06379
|
Alan Rios Fukelman
|
Bartomeu Fiol, Jairo Mart\'inez-Montoya and Alan Rios Fukelman
|
The planar limit of $\mathcal{N}=2$ superconformal quiver theories
|
26 pages, 3 figures, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the planar limit of both the free energy and the expectation value
of the $1/2$ BPS Wilson loop for four dimensional ${\cal N}=2$ superconformal
quiver theories, with a product of SU($N$)s as gauge group and bi-fundamental
matter. Supersymmetric localization reduces the problem to a multi-matrix
model, that we rewrite in the zero-instanton sector as an effective action
involving an infinite number of double-trace terms, determined by the relevant
extended Cartan matrix. We find that the results, as in the case of
$\mathcal{N}=2$ SCFTs with a simple gauge group, can be written as sums over
tree graphs. For the $\widehat{A_1}$ case, we find that the contribution of
each tree can be interpreted as the partition function of a generalized Ising
model defined on the tree; we conjecture that the partition functions of these
models defined on trees satisfy the Lee-Yang property, i.e. all their zeros lie
on the unit circle.
|
[
{
"created": "Thu, 11 Jun 2020 12:51:39 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jun 2020 12:19:26 GMT",
"version": "v2"
}
] |
2020-06-16
|
[
[
"Fiol",
"Bartomeu",
""
],
[
"Martínez-Montoya",
"Jairo",
""
],
[
"Fukelman",
"Alan Rios",
""
]
] |
We compute the planar limit of both the free energy and the expectation value of the $1/2$ BPS Wilson loop for four dimensional ${\cal N}=2$ superconformal quiver theories, with a product of SU($N$)s as gauge group and bi-fundamental matter. Supersymmetric localization reduces the problem to a multi-matrix model, that we rewrite in the zero-instanton sector as an effective action involving an infinite number of double-trace terms, determined by the relevant extended Cartan matrix. We find that the results, as in the case of $\mathcal{N}=2$ SCFTs with a simple gauge group, can be written as sums over tree graphs. For the $\widehat{A_1}$ case, we find that the contribution of each tree can be interpreted as the partition function of a generalized Ising model defined on the tree; we conjecture that the partition functions of these models defined on trees satisfy the Lee-Yang property, i.e. all their zeros lie on the unit circle.
|
2304.08646
|
Jorge Bellorin
|
Jorge Bellorin, Claudio Borquez and Byron Droguett
|
Quantization of the anisotropic conformal Horava theory
| null |
Phys. Rev. D 108:044035 (2023)
|
10.1103/PhysRevD.108.044035
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We perform the Batalin-Fradkin-Vilkovisky quantization of the anisotropic
conformal Horava theory in d spatial dimensions. We introduce a model with a
conformal potential suitable for any dimension. We define an anisotropic and
local gauge-fixing condition that accounts for the spatial diffeomorphisms and
the anisotropic Weyl transformations. We show that the BRST transformations can
be expressed mainly in terms of a spatial diffeomorphism along a ghost field
plus a conformal transformation with another ghost field as argument. We study
the quantum Lagrangian in the d=2 case, obtaining that all propagators are
regular, except for the fields associated with the measure of the second-class
constraints. This behavior is qualitatively equal to the nonconformal case.
|
[
{
"created": "Mon, 17 Apr 2023 22:36:02 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2023 14:35:25 GMT",
"version": "v2"
}
] |
2023-08-25
|
[
[
"Bellorin",
"Jorge",
""
],
[
"Borquez",
"Claudio",
""
],
[
"Droguett",
"Byron",
""
]
] |
We perform the Batalin-Fradkin-Vilkovisky quantization of the anisotropic conformal Horava theory in d spatial dimensions. We introduce a model with a conformal potential suitable for any dimension. We define an anisotropic and local gauge-fixing condition that accounts for the spatial diffeomorphisms and the anisotropic Weyl transformations. We show that the BRST transformations can be expressed mainly in terms of a spatial diffeomorphism along a ghost field plus a conformal transformation with another ghost field as argument. We study the quantum Lagrangian in the d=2 case, obtaining that all propagators are regular, except for the fields associated with the measure of the second-class constraints. This behavior is qualitatively equal to the nonconformal case.
|
hep-th/0006061
|
Joao Barcelos Neto
|
M. Novello, J. Barcelos-Neto and J.M. Salim
|
A model for time-dependent cosmological constant
|
5 pages, Revtex (multicol). Revised version to appear in Classical
and Quantum Gravity
|
Class.Quant.Grav. 18 (2001) 1261-1268
|
10.1088/0264-9381/18/7/309
| null |
hep-th
| null |
We present a model for a spacetime dependent cosmological {\it constant}. We
make a realization of this model based on a possible quantum aspects of the
initial stage of the universe and relate the cosmological constant with the
chiral anomaly.
|
[
{
"created": "Thu, 8 Jun 2000 20:30:43 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2001 18:48:36 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Novello",
"M.",
""
],
[
"Barcelos-Neto",
"J.",
""
],
[
"Salim",
"J. M.",
""
]
] |
We present a model for a spacetime dependent cosmological {\it constant}. We make a realization of this model based on a possible quantum aspects of the initial stage of the universe and relate the cosmological constant with the chiral anomaly.
|
hep-th/0008041
|
Zurab Kakushadze
|
Zurab Kakushadze
|
Conformal Brane World and Cosmological Constant
|
14 pages, revtex; minor misprints corrected
|
Phys.Lett. B491 (2000) 317-328
|
10.1016/S0370-2693(00)01069-8
| null |
hep-th gr-qc hep-ph
| null |
We consider a recently proposed setup where a codimension one brane is
embedded in the background of a smooth domain wall interpolating between AdS
and Minkowski minima. Since the volume of the transverse dimension is infinite,
bulk supersymmetry is intact even if brane supersymmetry is completely broken.
On the other hand, in this setup unbroken bulk supersymmetry is incompatible
with non-zero brane cosmological constant, so the former appears to protect the
latter. In this paper we point out that, to have a consistent coupling between
matter localized on the brane and bulk gravity, in this setup generically it
appears to be necessary that the brane world-volume theory be conformal. Thus,
unbroken bulk supersymmetry appears to actually protect not only the
cosmological constant but also conformal invariance on the brane.
|
[
{
"created": "Thu, 3 Aug 2000 22:51:23 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Aug 2000 23:40:48 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Aug 2000 03:11:37 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Sep 2000 05:05:02 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Kakushadze",
"Zurab",
""
]
] |
We consider a recently proposed setup where a codimension one brane is embedded in the background of a smooth domain wall interpolating between AdS and Minkowski minima. Since the volume of the transverse dimension is infinite, bulk supersymmetry is intact even if brane supersymmetry is completely broken. On the other hand, in this setup unbroken bulk supersymmetry is incompatible with non-zero brane cosmological constant, so the former appears to protect the latter. In this paper we point out that, to have a consistent coupling between matter localized on the brane and bulk gravity, in this setup generically it appears to be necessary that the brane world-volume theory be conformal. Thus, unbroken bulk supersymmetry appears to actually protect not only the cosmological constant but also conformal invariance on the brane.
|
hep-th/9809083
|
Alejandro Ayala
|
Alejandro Ayala (ICN-UNAM/Mexico), Juan Carlos D'Olivo
(ICN-UNAM/Mexico) and Axel Weber (UMSNH/Mexico)
|
Damping and reaction rates and wave function renormalization of fermions
in hot gauge theories
|
Modified version, includes new section on the hard axion
photoproduction rate in a hot QED plasma. Version to appear in Int. Jour.
Mod. Phys. A
| null | null | null |
hep-th hep-ph
| null |
We examine the relation between the damping rate of a chiral fermion mode
propagating in a hot plasma and the rate at which the mode approaches
equilibrium. We show how these two quantities, obtained from the imaginary part
of the fermion self-energy, are equal when the reaction rate is defined using
the appropriate wave function of the mode in the medium. As an application, we
compute the production rate of hard axions by Compton-like scattering processes
in a hot QED plasma starting from both, the axion self-energy and the electron
self-energy. We show that the latter rate coincides with the former only when
this is computed using the corresponding medium spinor modes.
|
[
{
"created": "Fri, 11 Sep 1998 22:56:34 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Oct 1999 19:05:36 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Ayala",
"Alejandro",
"",
"ICN-UNAM/Mexico"
],
[
"D'Olivo",
"Juan Carlos",
"",
"ICN-UNAM/Mexico"
],
[
"Weber",
"Axel",
"",
"UMSNH/Mexico"
]
] |
We examine the relation between the damping rate of a chiral fermion mode propagating in a hot plasma and the rate at which the mode approaches equilibrium. We show how these two quantities, obtained from the imaginary part of the fermion self-energy, are equal when the reaction rate is defined using the appropriate wave function of the mode in the medium. As an application, we compute the production rate of hard axions by Compton-like scattering processes in a hot QED plasma starting from both, the axion self-energy and the electron self-energy. We show that the latter rate coincides with the former only when this is computed using the corresponding medium spinor modes.
|
1811.08863
|
Hee-Joong Chung
|
Hee-Joong Chung
|
BPS Invariants for Seifert Manifolds
|
70 pages, v2 corrections and improvements made, references added; v3
some improvements made, typos corrected, published version
| null | null | null |
hep-th math.GT math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the homological blocks for Seifert manifolds from the exact
expression for the $G=SU(N)$ Witten-Reshetikhin-Turaev invariants of Seifert
manifolds obtained by Lawrence, Rozansky, and Mari\~no. For the $G=SU(2)$ case,
it is possible to express them in terms of the false theta functions and their
derivatives. For $G=SU(N)$, we calculate them as a series expansion and also
discuss some properties of the contributions from the abelian flat connections
to the Witten-Reshetikhin-Turaev invariants for general $N$. We also provide an
expected form of the $S$-matrix for general cases and the structure of the
Witten-Reshetikhin-Turaev invariants in terms of the homological blocks.
|
[
{
"created": "Wed, 21 Nov 2018 18:17:44 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Feb 2019 17:41:51 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Mar 2020 04:55:40 GMT",
"version": "v3"
}
] |
2020-03-31
|
[
[
"Chung",
"Hee-Joong",
""
]
] |
We calculate the homological blocks for Seifert manifolds from the exact expression for the $G=SU(N)$ Witten-Reshetikhin-Turaev invariants of Seifert manifolds obtained by Lawrence, Rozansky, and Mari\~no. For the $G=SU(2)$ case, it is possible to express them in terms of the false theta functions and their derivatives. For $G=SU(N)$, we calculate them as a series expansion and also discuss some properties of the contributions from the abelian flat connections to the Witten-Reshetikhin-Turaev invariants for general $N$. We also provide an expected form of the $S$-matrix for general cases and the structure of the Witten-Reshetikhin-Turaev invariants in terms of the homological blocks.
|
2206.10528
|
Johannes Knaute
|
Mari Carmen Banuls, Michal P. Heller, Karl Jansen, Johannes Knaute,
Viktor Svensson
|
A quantum information perspective on meson melting
|
minor extended discussions and layout changes
|
Phys. Rev. D 108, 076016 (2023)
|
10.1103/PhysRevD.108.076016
| null |
hep-th cond-mat.quant-gas cond-mat.str-el hep-ph quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We propose to use quantum information notions to characterize thermally
induced melting of nonperturbative bound states at high temperatures. We apply
tensor networks to investigate this idea in static and dynamical settings
within the Ising quantum field theory, where bound states are confined fermion
pairs - mesons. An equilibrium signature of meson melting is identified in the
temperature dependence of the thermal-state second R\'enyi entropy, which
varies from exponential to power-law scaling. Out of equilibrium, we identify
as the relevant signature the transition from an oscillatory to a linear
growing behavior of reflected entropy after a thermal quench. These analyses
apply more broadly, which brings new ways of describing in-medium meson
phenomena in quantum many-body and high-energy physics.
|
[
{
"created": "Tue, 21 Jun 2022 16:53:44 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Oct 2023 16:16:36 GMT",
"version": "v2"
}
] |
2023-10-26
|
[
[
"Banuls",
"Mari Carmen",
""
],
[
"Heller",
"Michal P.",
""
],
[
"Jansen",
"Karl",
""
],
[
"Knaute",
"Johannes",
""
],
[
"Svensson",
"Viktor",
""
]
] |
We propose to use quantum information notions to characterize thermally induced melting of nonperturbative bound states at high temperatures. We apply tensor networks to investigate this idea in static and dynamical settings within the Ising quantum field theory, where bound states are confined fermion pairs - mesons. An equilibrium signature of meson melting is identified in the temperature dependence of the thermal-state second R\'enyi entropy, which varies from exponential to power-law scaling. Out of equilibrium, we identify as the relevant signature the transition from an oscillatory to a linear growing behavior of reflected entropy after a thermal quench. These analyses apply more broadly, which brings new ways of describing in-medium meson phenomena in quantum many-body and high-energy physics.
|
hep-th/9310193
|
Shinsuke Nishigaki
|
Shinsuke Nishigaki
|
Scaling Violation in O(N) Vector Models
|
9 pages, LaTeX, TIT/HEP--229
|
Mod.Phys.Lett. A9 (1994) 631-642
|
10.1142/S0217732394003865
| null |
hep-th
| null |
We investigate $O(N)$-symmetric vector field theories in the double scaling
limit. Our model describes branched polymeric systems in $D$ dimensions, whose
multicritical series interpolates between the Cayley tree and the ordinary
random walk. We give explicit forms of residual divergences in the free energy,
analogous to those observed in the strings in one dimension.
|
[
{
"created": "Fri, 29 Oct 1993 10:46:40 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Nishigaki",
"Shinsuke",
""
]
] |
We investigate $O(N)$-symmetric vector field theories in the double scaling limit. Our model describes branched polymeric systems in $D$ dimensions, whose multicritical series interpolates between the Cayley tree and the ordinary random walk. We give explicit forms of residual divergences in the free energy, analogous to those observed in the strings in one dimension.
|
hep-th/0610020
|
Sergey Paston
|
E.-M. Ilgenfritz, S.A. Paston, H.-J. Pirner, E.V. Prokhvatilov, V.A.
Franke
|
Quantum Fields on the Light Front, Formulation in Coordinates close to
the Light Front, Lattice Approximation
|
LaTeX 2e, 14 pages
|
Theor.Math.Phys. 148 (2006) 948-959; Teor.Mat.Fiz. 148 (2006)
89-101
|
10.1007/s11232-006-0091-8
| null |
hep-th
| null |
We review the fundamental ideas of quantizing a theory on a Light Front
including the Hamiltonian approach to the problem of bound states on the Light
Front and the limiting transition from formulating a theory in Lorentzian
coordinates (where the quantization occurs on spacelike hyperplanes) to the
theory on the Light Front, which demonstrates the equivalence of these variants
of the theory. We describe attempts to find such a form of the limiting
transition for gauge theories on the Wilson lattice.
|
[
{
"created": "Sun, 1 Oct 2006 11:36:45 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Ilgenfritz",
"E. -M.",
""
],
[
"Paston",
"S. A.",
""
],
[
"Pirner",
"H. -J.",
""
],
[
"Prokhvatilov",
"E. V.",
""
],
[
"Franke",
"V. A.",
""
]
] |
We review the fundamental ideas of quantizing a theory on a Light Front including the Hamiltonian approach to the problem of bound states on the Light Front and the limiting transition from formulating a theory in Lorentzian coordinates (where the quantization occurs on spacelike hyperplanes) to the theory on the Light Front, which demonstrates the equivalence of these variants of the theory. We describe attempts to find such a form of the limiting transition for gauge theories on the Wilson lattice.
|
hep-th/9203018
|
Larry Romans
|
L. J. Romans
|
Supersymmetric, cold and lukewarm black holes in cosmological
Einstein-Maxwell theory
|
(18 pp., plain tex)
|
Nucl.Phys. B383 (1992) 395-415
|
10.1016/0550-3213(92)90684-4
| null |
hep-th
| null |
In flat space, the extreme Reissner-Nordstr\o m (RN) black hole is
distinguished by its coldness (vanishing Hawking temperature) and its
supersymmetry. We examine RN solutions to Einstein-Maxwell theory with a
cosmological constant $\Lambda$, classifying the cold black holes and, for
positive $\Lambda$, the ``lukewarm" black holes at the same temperature as the
de Sitter thermal background. For negative $\Lambda$, we classify the
supersymmetric solutions within the context of $N=2$ gauged supergravity. One
finds supersymmetric analogues of flat-space extreme RN black holes, which for
nonzero $\Lambda$ differ from the cold black holes. In addition, there is an
exotic class of supersymmetric solutions which cannot be continued to flat
space, since the magnetic charge becomes infinite in that limit.
|
[
{
"created": "Sun, 8 Mar 1992 21:44:51 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Romans",
"L. J.",
""
]
] |
In flat space, the extreme Reissner-Nordstr\o m (RN) black hole is distinguished by its coldness (vanishing Hawking temperature) and its supersymmetry. We examine RN solutions to Einstein-Maxwell theory with a cosmological constant $\Lambda$, classifying the cold black holes and, for positive $\Lambda$, the ``lukewarm" black holes at the same temperature as the de Sitter thermal background. For negative $\Lambda$, we classify the supersymmetric solutions within the context of $N=2$ gauged supergravity. One finds supersymmetric analogues of flat-space extreme RN black holes, which for nonzero $\Lambda$ differ from the cold black holes. In addition, there is an exotic class of supersymmetric solutions which cannot be continued to flat space, since the magnetic charge becomes infinite in that limit.
|
2112.10060
|
Carlos Andres Escobar Ruiz
|
C. A. Escobar, Rom\'an Linares and B. Tlatelpa-Mascote
|
Hamiltonian analysis of ModMax nonlinear electrodynamics in the first
order formalism
|
10 Pages, No Figures, Accepted to publication in IJMP A
| null |
10.1142/S0217751X22500117
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this work we study the so-called ModMax nonlinear electrodynamics, which
is a novel model designed to preserve duality rotations and conformal
transformations, such as the Maxwell's equations do. This model allows to study
diverse gravitational phenomena when is coupled to General Relativity, in
particular charged black holes and gravitational waves. In the present work we
focus in the dynamics and Hamiltonian analysis of the model. Specifically, we
analyze the propagation of the discontinuities of the field and obtain the
corresponding dispersion relations. To perform the Hamiltonian analysis we
adopt the first order formalism develop by Pleba\'nski and follow the Dirac
method for theories with constraints. We derive the effective Hamiltonian,
classify all the constraints and identify the degrees of freedom. We prove that
the effective Hamiltonian is strictly bounded from below and investigate the
existence of non trivial minima.
|
[
{
"created": "Sun, 19 Dec 2021 04:51:47 GMT",
"version": "v1"
}
] |
2022-02-16
|
[
[
"Escobar",
"C. A.",
""
],
[
"Linares",
"Román",
""
],
[
"Tlatelpa-Mascote",
"B.",
""
]
] |
In this work we study the so-called ModMax nonlinear electrodynamics, which is a novel model designed to preserve duality rotations and conformal transformations, such as the Maxwell's equations do. This model allows to study diverse gravitational phenomena when is coupled to General Relativity, in particular charged black holes and gravitational waves. In the present work we focus in the dynamics and Hamiltonian analysis of the model. Specifically, we analyze the propagation of the discontinuities of the field and obtain the corresponding dispersion relations. To perform the Hamiltonian analysis we adopt the first order formalism develop by Pleba\'nski and follow the Dirac method for theories with constraints. We derive the effective Hamiltonian, classify all the constraints and identify the degrees of freedom. We prove that the effective Hamiltonian is strictly bounded from below and investigate the existence of non trivial minima.
|
1308.6194
|
Lisa Carbone
|
Ling Bao and Lisa Carbone
|
Integral forms of Kac-Moody groups and Eisenstein series in low
dimensional supergravity theories
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Kac-Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as
symmetry groups of supergravities in dimensions less than 3, and their integer
forms $G(\mathbb{Z})$ are conjecturally U-duality groups. Mathematical
descriptions of $G(\mathbb{Z})$, due to Tits, are functorial and not amenable
to computation or applications. We construct Kac-Moody groups over $\mathbb{R}$
and $\mathbb{Z}$ using an analog of Chevalley's constructions in finite
dimensions and Garland's constructions in the affine case. We extend a
construction of Eisenstein series on finite dimensional semisimple algebraic
groups using representation theory, which appeared in the context of
superstring theory, to general Kac-Moody groups. This coincides with a
generalization of Garland's Eisenstein series on affine Kac-Moody groups to
general Kac-Moody groups and includes Eisenstein series on $E_{10}$ and
$E_{11}$. For finite dimensional groups, Eisenstein series encode the quantum
corrections in string theory and supergravity theories. Their Kac-Moody analogs
will likely also play an important part in string theory, though their roles
are not yet understood.
|
[
{
"created": "Wed, 28 Aug 2013 16:04:47 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2015 17:09:07 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Bao",
"Ling",
""
],
[
"Carbone",
"Lisa",
""
]
] |
Kac-Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms $G(\mathbb{Z})$ are conjecturally U-duality groups. Mathematical descriptions of $G(\mathbb{Z})$, due to Tits, are functorial and not amenable to computation or applications. We construct Kac-Moody groups over $\mathbb{R}$ and $\mathbb{Z}$ using an analog of Chevalley's constructions in finite dimensions and Garland's constructions in the affine case. We extend a construction of Eisenstein series on finite dimensional semisimple algebraic groups using representation theory, which appeared in the context of superstring theory, to general Kac-Moody groups. This coincides with a generalization of Garland's Eisenstein series on affine Kac-Moody groups to general Kac-Moody groups and includes Eisenstein series on $E_{10}$ and $E_{11}$. For finite dimensional groups, Eisenstein series encode the quantum corrections in string theory and supergravity theories. Their Kac-Moody analogs will likely also play an important part in string theory, though their roles are not yet understood.
|
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