id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2405.12364 | Antonino Marciano | Chris Fields, James F. Glazebrook and Antonino Marciano | Communication protocols and QECC from the perspective of TQFT, Part II:
QECCs as spacetimes | 37 pages | null | null | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Topological quantum field theories (TQFTs) provide a general,
minimal-assumption language for describing quantum-state preparation and
measurement. They therefore provide a general language in which to express
multi-agent communication protocols, e.g. local operations, classical
communication (LOCC) protocols. In the accompanying Part I, we construct LOCC
protocols using TQFT, and show that LOCC protocols induce quantum
error-correcting codes (QECCs) on the agent-environment boundary. Such QECCs
can be regarded as implementing or inducing the emergence of spacetimes on such
boundaries. Here we investigate this connection between inter-agent
communication and spacetime, exploiting different realizations of TQFT. We
delve into TQFTs that support on their boundaries spin-networks as
computational systems: these are known as topological quantum neural networks
(TQNNs). TQNNs, which have a natural representation as tensor networks,
implement QECC. We recognize into the HaPPY code a paradigmatic example. We
then show how generic QECCs, as bulk-boundary codes, induce effective
spacetimes. The effective spatial and temporal separations that take place in
QECC enables LOCC protocols between spatially separated observers. We then
consider the implementation of QECCs in BF and Chern-Simons theories, and show
that QECC-induced spacetimes provide the classical redundancy required for
LOCC. Finally, we consider topological M-theory as an implementation of QECC in
higher spacetime dimensions.
| [
{
"created": "Mon, 18 Mar 2024 08:03:52 GMT",
"version": "v1"
}
] | 2024-05-22 | [
[
"Fields",
"Chris",
""
],
[
"Glazebrook",
"James F.",
""
],
[
"Marciano",
"Antonino",
""
]
] | Topological quantum field theories (TQFTs) provide a general, minimal-assumption language for describing quantum-state preparation and measurement. They therefore provide a general language in which to express multi-agent communication protocols, e.g. local operations, classical communication (LOCC) protocols. In the accompanying Part I, we construct LOCC protocols using TQFT, and show that LOCC protocols induce quantum error-correcting codes (QECCs) on the agent-environment boundary. Such QECCs can be regarded as implementing or inducing the emergence of spacetimes on such boundaries. Here we investigate this connection between inter-agent communication and spacetime, exploiting different realizations of TQFT. We delve into TQFTs that support on their boundaries spin-networks as computational systems: these are known as topological quantum neural networks (TQNNs). TQNNs, which have a natural representation as tensor networks, implement QECC. We recognize into the HaPPY code a paradigmatic example. We then show how generic QECCs, as bulk-boundary codes, induce effective spacetimes. The effective spatial and temporal separations that take place in QECC enables LOCC protocols between spatially separated observers. We then consider the implementation of QECCs in BF and Chern-Simons theories, and show that QECC-induced spacetimes provide the classical redundancy required for LOCC. Finally, we consider topological M-theory as an implementation of QECC in higher spacetime dimensions. |
2302.12830 | Bin Zhu | Tomasz R. Taylor, Bin Zhu | Celestial Supersymmetry | null | null | 10.1007/JHEP06(2023)210 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss supersymmetric Yang-Mills theory coupled to dilatons in the
framework of celestial holography. We show that in the presence of point-like
dilaton sources, the CCFT operators associated with the gauge supermultiplet
acquire a simple, factorized form. They factorize into the holomorphic
(super)current part and the exponential "light" operators of Liouville theory,
in the infinite central charge limit. The current sector exhibits (1,0)
supersymmetry, thus implementing spacetime supersymmetry in CCFT.
| [
{
"created": "Fri, 24 Feb 2023 18:59:56 GMT",
"version": "v1"
},
{
"created": "Fri, 12 May 2023 16:43:42 GMT",
"version": "v2"
}
] | 2023-07-26 | [
[
"Taylor",
"Tomasz R.",
""
],
[
"Zhu",
"Bin",
""
]
] | We discuss supersymmetric Yang-Mills theory coupled to dilatons in the framework of celestial holography. We show that in the presence of point-like dilaton sources, the CCFT operators associated with the gauge supermultiplet acquire a simple, factorized form. They factorize into the holomorphic (super)current part and the exponential "light" operators of Liouville theory, in the infinite central charge limit. The current sector exhibits (1,0) supersymmetry, thus implementing spacetime supersymmetry in CCFT. |
1207.4751 | Dimitri Polyakov Prof | Dimitri Polyakov | Higher Spin Holography and AdS String Sigma-Model | Invited contribution to the J. Phys. A special volume on Higher Spin
Theories 33 pages; typos corrected, references added, remarks added on the
normalization of the correlation functions | null | 10.1088/1751-8113/46/21/214012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze cubic spin 3 interaction in AdS space using the higher spin
extension of string-theoretic sigma-model constructed in our previous work,
which low energy limit is described by AdS vacuum. We find that, in the leading
order of the cosmological constant, the spin 3 correlator on the AdS4 string
theory side reproduces the structure of 3 point function of composite
operators, quadratic in free fields, in the dual vector model. The cancellation
of terms violating higher spin holography is related to the value of the
Liouville background charge in four dimensions.
| [
{
"created": "Thu, 19 Jul 2012 18:28:54 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Dec 2012 09:35:46 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Dec 2012 15:49:55 GMT",
"version": "v3"
}
] | 2015-06-05 | [
[
"Polyakov",
"Dimitri",
""
]
] | We analyze cubic spin 3 interaction in AdS space using the higher spin extension of string-theoretic sigma-model constructed in our previous work, which low energy limit is described by AdS vacuum. We find that, in the leading order of the cosmological constant, the spin 3 correlator on the AdS4 string theory side reproduces the structure of 3 point function of composite operators, quadratic in free fields, in the dual vector model. The cancellation of terms violating higher spin holography is related to the value of the Liouville background charge in four dimensions. |
2005.05145 | Lei Yin | Lei Yin, Jialin Gao | A Holographic Static Transverse Polarization At Non-zero Temperatures | 16 pages, 4 figures | null | 10.1016/j.physletb.2020.135471 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The analytical structure of a static transverse component of polarization
tensor in complex momentum plane is numerically studied, which is
holographically determined by a Einstein-Maxwell theory in asymptotically
$D=3+1$ dimensional Anti-de Sitter spacetime. This strongly-coupled transverse
polarization shows a pair of conjugate simple poles on the imaginary-axis at
low temperature, which is different with the longitudinal component of the
corresponding polarization and the counterpart in its weakly-coupled version.
| [
{
"created": "Mon, 11 May 2020 14:36:46 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"Yin",
"Lei",
""
],
[
"Gao",
"Jialin",
""
]
] | The analytical structure of a static transverse component of polarization tensor in complex momentum plane is numerically studied, which is holographically determined by a Einstein-Maxwell theory in asymptotically $D=3+1$ dimensional Anti-de Sitter spacetime. This strongly-coupled transverse polarization shows a pair of conjugate simple poles on the imaginary-axis at low temperature, which is different with the longitudinal component of the corresponding polarization and the counterpart in its weakly-coupled version. |
2004.09278 | Julien Roussillon | Jonatan Lenells and Julien Roussillon | Confluent Conformal Blocks of the Second Kind | 30 pages | null | 10.1007/JHEP06(2020)133 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct confluent conformal blocks of the second kind of the Virasoro
algebra. We also construct the Stokes transformations which map such blocks in
one Stokes sector to another. In the BPZ limit, we verify explicitly that the
constructed blocks and the associated Stokes transformations reduce to
solutions of the confluent BPZ equation and its Stokes matrices, respectively.
Both the confluent conformal blocks and the Stokes transformations are
constructed by taking suitable confluent limits of the crossing transformations
of the four-point Virasoro conformal blocks.
| [
{
"created": "Mon, 20 Apr 2020 13:34:31 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Lenells",
"Jonatan",
""
],
[
"Roussillon",
"Julien",
""
]
] | We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to another. In the BPZ limit, we verify explicitly that the constructed blocks and the associated Stokes transformations reduce to solutions of the confluent BPZ equation and its Stokes matrices, respectively. Both the confluent conformal blocks and the Stokes transformations are constructed by taking suitable confluent limits of the crossing transformations of the four-point Virasoro conformal blocks. |
1903.01379 | Iber\^e Kuntz | Xavier Calmet, James Edholm, Iber\^e Kuntz | Imprints of Quantum Gravity in the Cosmic Microwave Background | null | null | 10.1140/epjc/s10052-019-6756-x | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been shown that the spectrum of quantum gravity contains at least two
new modes in addition to the massless graviton: a massive spin-0 and a massive
spin-2. We calculate their power spectrum during inflation and we argue that
they could leave an imprint in the cosmic microwave background should their
masses be below the inflationary scale.
| [
{
"created": "Mon, 4 Mar 2019 17:19:05 GMT",
"version": "v1"
}
] | 2019-03-27 | [
[
"Calmet",
"Xavier",
""
],
[
"Edholm",
"James",
""
],
[
"Kuntz",
"Iberê",
""
]
] | It has been shown that the spectrum of quantum gravity contains at least two new modes in addition to the massless graviton: a massive spin-0 and a massive spin-2. We calculate their power spectrum during inflation and we argue that they could leave an imprint in the cosmic microwave background should their masses be below the inflationary scale. |
hep-th/9709018 | Hiroshi Suzuki | Hiroshi Suzuki and Hirofumi Yasuta (Ibaraki University) | Observing Quantum Tunneling in Perturbation Series | 5 pages, LaTeX with espcrc2 macro. Talk given at the 7th Asia Pacific
Physics Conference, August 19--23, 1997, Peking, China | null | null | IU-MSTP-24 | hep-th | null | It is well-known that the quantum tunneling makes conventional perturbation
series non-Borel summable. We use this fact reversely and attempt to extract
the decay width of the false-vacuum from the actual perturbation series of the
vacuum energy density (vacuum bubble diagrams). It is confirmed that, at least
in quantum mechanical examples, our proposal provides a complementary approach
to the conventional instanton calculus in the strong coupling region.
| [
{
"created": "Tue, 2 Sep 1997 09:23:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Suzuki",
"Hiroshi",
"",
"Ibaraki University"
],
[
"Yasuta",
"Hirofumi",
"",
"Ibaraki University"
]
] | It is well-known that the quantum tunneling makes conventional perturbation series non-Borel summable. We use this fact reversely and attempt to extract the decay width of the false-vacuum from the actual perturbation series of the vacuum energy density (vacuum bubble diagrams). It is confirmed that, at least in quantum mechanical examples, our proposal provides a complementary approach to the conventional instanton calculus in the strong coupling region. |
2212.02524 | Davide Bonomi | Lorenzo Bianchi, Davide Bonomi, Elia de Sabbata | Analytic bootstrap for the localized magnetic field | 41 pages | null | 10.1007/JHEP04(2023)069 | null | hep-th cond-mat.stat-mech | http://creativecommons.org/publicdomain/zero/1.0/ | We study the two-point function of local operators in the critical O(N) model
in the presence of a magnetic field localized on a line. We use a recently
developed conformal dispersion relation to compute the correlator at first
order in the $\epsilon$-expansion and we extract the full set of defect and
bulk CFT data using the Lorentzian inversion formulae. The only input for the
computation of the connected correlator is its discontinuity at first order in
perturbation theory, which is determined by the anomalous dimension of a single
bulk operator. We discuss possible low-spin ambiguities and perform several
diagrammatic checks of our results.
| [
{
"created": "Mon, 5 Dec 2022 19:00:04 GMT",
"version": "v1"
}
] | 2023-05-03 | [
[
"Bianchi",
"Lorenzo",
""
],
[
"Bonomi",
"Davide",
""
],
[
"de Sabbata",
"Elia",
""
]
] | We study the two-point function of local operators in the critical O(N) model in the presence of a magnetic field localized on a line. We use a recently developed conformal dispersion relation to compute the correlator at first order in the $\epsilon$-expansion and we extract the full set of defect and bulk CFT data using the Lorentzian inversion formulae. The only input for the computation of the connected correlator is its discontinuity at first order in perturbation theory, which is determined by the anomalous dimension of a single bulk operator. We discuss possible low-spin ambiguities and perform several diagrammatic checks of our results. |
2301.03108 | Poula Tadros | Poula Tadros | Fields and strings on non commutative q-deformed spaces | null | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study scalar field and string theory on non commutative q-deformed spaces.
We define a product of functions on a non commutative algebra of functions
resulting from the q-deformation analogue to the Moyal product for canonically
non commutative spaces. We then give the general procedure to define scalar
field and classical string theories on the mentioned spaces, we argue that the
resulting theories will have enlarged sets of both spacetime and internal
symmetries which can be used to study gravitational effects due to the
q-deformation.
| [
{
"created": "Sun, 8 Jan 2023 21:12:48 GMT",
"version": "v1"
}
] | 2023-01-10 | [
[
"Tadros",
"Poula",
""
]
] | We study scalar field and string theory on non commutative q-deformed spaces. We define a product of functions on a non commutative algebra of functions resulting from the q-deformation analogue to the Moyal product for canonically non commutative spaces. We then give the general procedure to define scalar field and classical string theories on the mentioned spaces, we argue that the resulting theories will have enlarged sets of both spacetime and internal symmetries which can be used to study gravitational effects due to the q-deformation. |
0711.1971 | Justin David R | Justin R. David | On the dyon partition function in N=2 theories | 48 pages | JHEP0802:025,2008 | 10.1088/1126-6708/2008/02/025 | null | hep-th | null | We study the entropy function of two N =2 string compactifications obtained
as freely acting orbifolds of N=4 theories : the STU model and the FHSV model.
The Gauss-Bonnet term for these compactifications is known precisely. We apply
the entropy function formalism including the contribution of this four
derivative term and evaluate the entropy of dyons to the first subleading order
in charges for these models. We then propose a partition function involving the
product of three Siegel modular forms of weight zero which reproduces the
degeneracy of dyonic black holes in the STU model to the first subleading order
in charges. The proposal is invariant under all the duality symmetries of the
STU model. For the FHSV model we write down an approximate partition function
involving a Siegel modular form of weight four which captures the entropy of
dyons in the FHSV model in the limit when electric charges are much larger than
magnetic charges.
| [
{
"created": "Tue, 13 Nov 2007 13:02:17 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"David",
"Justin R.",
""
]
] | We study the entropy function of two N =2 string compactifications obtained as freely acting orbifolds of N=4 theories : the STU model and the FHSV model. The Gauss-Bonnet term for these compactifications is known precisely. We apply the entropy function formalism including the contribution of this four derivative term and evaluate the entropy of dyons to the first subleading order in charges for these models. We then propose a partition function involving the product of three Siegel modular forms of weight zero which reproduces the degeneracy of dyonic black holes in the STU model to the first subleading order in charges. The proposal is invariant under all the duality symmetries of the STU model. For the FHSV model we write down an approximate partition function involving a Siegel modular form of weight four which captures the entropy of dyons in the FHSV model in the limit when electric charges are much larger than magnetic charges. |
2205.02233 | Vincent S. H. Lee | Sergei Gukov, Vincent S. H. Lee, Kathryn M. Zurek | Near-Horizon Quantum Dynamics of 4-d Einstein Gravity from 2-d JT
Gravity | 25 pages, 5 figures | Phys.Rev.D 107 (2023) 016004 | 10.1103/PhysRevD.107.016004 | CALT-TH-2022-016 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quantum fluctuations in the lightcone metric of the 4-d
Einstein-Hilbert action via dimensional reduction to Jackiw-Teitelboim (JT)
gravity. In particular, we show that, in Einstein gravity, the causal
development of a region in flat Minkowski spacetime, near a horizon defined by
light sheets, can be described by an effective two-dimensional dilaton theory.
This enables us to make use of known solutions of the JT action, where the
spacetime position of a horizon has quantum uncertainty due to metric
fluctuations. This quantum uncertainty can be then directly related to the
original 4-d light cone coordinates, allowing us to compute the uncertainty in
the time of a photon to travel from tip-to-tip of a causal diamond in flat 4-d
Minkowski space. We find that both Planck and infrared scales (with the latter
set by the size of the causal diamond) enter the uncertainty in photon travel
time, such that the quantum fluctuation in the arrival time may be observably
large.
| [
{
"created": "Wed, 4 May 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2023 19:54:32 GMT",
"version": "v2"
}
] | 2023-01-16 | [
[
"Gukov",
"Sergei",
""
],
[
"Lee",
"Vincent S. H.",
""
],
[
"Zurek",
"Kathryn M.",
""
]
] | We study quantum fluctuations in the lightcone metric of the 4-d Einstein-Hilbert action via dimensional reduction to Jackiw-Teitelboim (JT) gravity. In particular, we show that, in Einstein gravity, the causal development of a region in flat Minkowski spacetime, near a horizon defined by light sheets, can be described by an effective two-dimensional dilaton theory. This enables us to make use of known solutions of the JT action, where the spacetime position of a horizon has quantum uncertainty due to metric fluctuations. This quantum uncertainty can be then directly related to the original 4-d light cone coordinates, allowing us to compute the uncertainty in the time of a photon to travel from tip-to-tip of a causal diamond in flat 4-d Minkowski space. We find that both Planck and infrared scales (with the latter set by the size of the causal diamond) enter the uncertainty in photon travel time, such that the quantum fluctuation in the arrival time may be observably large. |
2212.09259 | Leonardo de la Cruz | Francesco Comberiati, Leonardo de la Cruz | Classical off-shell currents | 28 pages, v2: clarifications in Sec.2, references added, typos fixed,
matches published version | null | 10.1007/JHEP03(2023)068 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider tree-level off-shell currents of two massive particles and $n$
massless bosons in the classical limit, which can be fused into the classical
limit of $n+2$ scattering amplitudes. We show that dressing up the current with
coherent wave-functions associated with the massive particles leads to the
recently proposed Worldline Quantum Field Theory (WQFT) path integral. The
currents thus constructed encode solutions of classical equations of motion so
they can be applied to contexts where the classical limit is relevant,
including hard thermal loops. We give several examples of these currents in
scalar, gauge and gravitational theories.
| [
{
"created": "Mon, 19 Dec 2022 06:06:28 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2023 21:27:57 GMT",
"version": "v2"
}
] | 2023-03-29 | [
[
"Comberiati",
"Francesco",
""
],
[
"de la Cruz",
"Leonardo",
""
]
] | We consider tree-level off-shell currents of two massive particles and $n$ massless bosons in the classical limit, which can be fused into the classical limit of $n+2$ scattering amplitudes. We show that dressing up the current with coherent wave-functions associated with the massive particles leads to the recently proposed Worldline Quantum Field Theory (WQFT) path integral. The currents thus constructed encode solutions of classical equations of motion so they can be applied to contexts where the classical limit is relevant, including hard thermal loops. We give several examples of these currents in scalar, gauge and gravitational theories. |
2405.20695 | Weican Yang | Wei-Can Yang, Makoto Tsubota, Muneto Nitta and Hua-Bi Zeng | Macroscopic Efimov effect of quantized vortex | 7 pages, 4figures | null | null | null | hep-th cond-mat.quant-gas cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The three-body problem, from the chaotic motions of celestial bodies to
complex microscopic particle interactions, has always been one of the most
foundational yet intricate challenges in physics since its establishment. A key
breakthrough in this domain is the Efimov effect, which represents a
significant stride in what is now known as Efimov physics. Our study uncovers a
macroscopic Efimov effect in a three-component Bose-Einstein Condensate (BEC)
system. Through theoretical analysis and numerical simulation, it is verified
that under certain conditions, three vortices form a bound state, while
removing one vortex causes the others to unbind, demonstrating topological
characteristics similar to the Borromean rings, hence termed the `vortex Efimov
effect', signifying a novel topological phase transition. We propose several
experimental approaches to realize this macroscopic Efimov effect, paving new
paths not only in many-body physics but also in exploring quantum phase
transitions and applications in quantum information.
| [
{
"created": "Fri, 31 May 2024 08:40:02 GMT",
"version": "v1"
}
] | 2024-06-03 | [
[
"Yang",
"Wei-Can",
""
],
[
"Tsubota",
"Makoto",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Zeng",
"Hua-Bi",
""
]
] | The three-body problem, from the chaotic motions of celestial bodies to complex microscopic particle interactions, has always been one of the most foundational yet intricate challenges in physics since its establishment. A key breakthrough in this domain is the Efimov effect, which represents a significant stride in what is now known as Efimov physics. Our study uncovers a macroscopic Efimov effect in a three-component Bose-Einstein Condensate (BEC) system. Through theoretical analysis and numerical simulation, it is verified that under certain conditions, three vortices form a bound state, while removing one vortex causes the others to unbind, demonstrating topological characteristics similar to the Borromean rings, hence termed the `vortex Efimov effect', signifying a novel topological phase transition. We propose several experimental approaches to realize this macroscopic Efimov effect, paving new paths not only in many-body physics but also in exploring quantum phase transitions and applications in quantum information. |
0812.5097 | Frank Wilczek | Frank Wilczek | New Kinds of Quantum Statistics | Talk at Seminaire Poincare (Bourbaphy), Paris, December 2007. To be
published in the Proceedings. 6 pages, 4 figures. v2: Minor typos corrected,
figures redrawn. v3: 2 more minor typos. Argh | null | 10.1007/978-3-7643-8799-0_2 | MIT-CTP 3997 | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I review the quantum kinematics of identical particles, which suggests new
possibilities, beyond bosons and fermions, in 2+1 dimensions; and how simple
flux-charge constructions embody the new possibilities, leading to both abelian
and nonabelian anyons. I briefly allude to experimental realizations, and also
advertise a spinor construction of nonabelian statistics, that has a 3+1
dimensional extension.
| [
{
"created": "Tue, 30 Dec 2008 18:51:13 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Jan 2009 00:39:04 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Jan 2009 23:45:56 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Wilczek",
"Frank",
""
]
] | I review the quantum kinematics of identical particles, which suggests new possibilities, beyond bosons and fermions, in 2+1 dimensions; and how simple flux-charge constructions embody the new possibilities, leading to both abelian and nonabelian anyons. I briefly allude to experimental realizations, and also advertise a spinor construction of nonabelian statistics, that has a 3+1 dimensional extension. |
2312.09712 | Sinya Aoki | Sinya Aoki, Yoshimasa Hidaka, Kiyoharu Kawana, and Kengo Shimada | Geometric conservation in curved spacetime and entropy | 6 pages, 1 figure, references added, more general parametrization for
the "3+1" decomposition employed | null | null | YITP-23-162, KEK-TH-2581, J-PARC-TH-0299, RIKEN-iTHEMS-Report-23 | hep-th gr-qc physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an improved definition of new conserved quantities derived from
the energy-momentum tensor in curved spacetime by introducing an additional
scalar function. We find that the conserved current and the associated
conserved charge become geometric under a certain initial condition of the
scalar function, and show that such a conserved geometric current generally
exists in curved spacetime. Furthermore, we demonstrate that the geometric
conserved current agrees with the entropy current for the perfect fluid, thus
the conserved charge is the total entropy of the system. While the geometric
charge can be regarded as the entropy for non-dissipative fluid, its physical
meaning should be investigated for more general cases.
| [
{
"created": "Fri, 15 Dec 2023 11:38:00 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Dec 2023 08:48:58 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jul 2024 15:13:17 GMT",
"version": "v3"
}
] | 2024-07-09 | [
[
"Aoki",
"Sinya",
""
],
[
"Hidaka",
"Yoshimasa",
""
],
[
"Kawana",
"Kiyoharu",
""
],
[
"Shimada",
"Kengo",
""
]
] | We provide an improved definition of new conserved quantities derived from the energy-momentum tensor in curved spacetime by introducing an additional scalar function. We find that the conserved current and the associated conserved charge become geometric under a certain initial condition of the scalar function, and show that such a conserved geometric current generally exists in curved spacetime. Furthermore, we demonstrate that the geometric conserved current agrees with the entropy current for the perfect fluid, thus the conserved charge is the total entropy of the system. While the geometric charge can be regarded as the entropy for non-dissipative fluid, its physical meaning should be investigated for more general cases. |
1912.06157 | Sylvain Lacroix | Cristian Bassi and Sylvain Lacroix | Integrable deformations of coupled sigma-models | 49 pages ; references added, some changes in the presentation ;
published version | J. High Energ. Phys. 2020, 59 | 10.1007/JHEP05(2020)059 | ZMP-HH/19-26 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct integrability-preserving deformations of the integrable
$\sigma$-model coupling together $N$ copies of the Principal Chiral Model.
These deformed theories are obtained using the formalism of affine Gaudin
models, by applying various combinations of Yang-Baxter and
$\lambda$-deformations to the different copies of the undeformed model. We
describe these models both in the Hamiltonian and Lagrangian formulation and
give explicit expressions of their action and Lax pair. In particular, we
recover through this construction various integrable $\lambda$-deformed models
previously introduced in the literature. Finally, we discuss the relation of
the present work with the semi-homolomorphic four-dimensional Chern-Simons
theory.
| [
{
"created": "Thu, 12 Dec 2019 19:02:17 GMT",
"version": "v1"
},
{
"created": "Sat, 16 May 2020 14:05:29 GMT",
"version": "v2"
}
] | 2020-05-19 | [
[
"Bassi",
"Cristian",
""
],
[
"Lacroix",
"Sylvain",
""
]
] | We construct integrability-preserving deformations of the integrable $\sigma$-model coupling together $N$ copies of the Principal Chiral Model. These deformed theories are obtained using the formalism of affine Gaudin models, by applying various combinations of Yang-Baxter and $\lambda$-deformations to the different copies of the undeformed model. We describe these models both in the Hamiltonian and Lagrangian formulation and give explicit expressions of their action and Lax pair. In particular, we recover through this construction various integrable $\lambda$-deformed models previously introduced in the literature. Finally, we discuss the relation of the present work with the semi-homolomorphic four-dimensional Chern-Simons theory. |
hep-th/9312108 | Adel Bilal | Adel Bilal | Non Abelian Toda Theory : A Completely Integrable Model for Strings on a
Black Hole Background | 41 pages, PUPT-1434 | Nucl.Phys. B422 (1994) 258-290 | 10.1016/0550-3213(94)00149-9 | null | hep-th | null | The present paper studies a completely integrable conformally invariant model
in 1+1 dimensions that corresponds to string propagation on the two-dimensional
black hole background (semi-ininite cigar). Besides the two space-time string
fields there is a third (internal) field with a very specific Liouville-type
interaction leading to the complete integrability. This system is known as
non-abelian Toda theory. I give the general explicit classical solution. It
realizes a rather involved transformation expressing the interacting string
fields in terms of (three) functions $\varphi_j(u)$ and $\bar\varphi_j(v)$ of
one light-cone variable only. The latter are shown to lead to standard harmonic
oscillator (free field) Poisson brackets thus paving the way towards
quantization. There are three left-moving and three right-moving conserved
quantities. The right (left)-moving conserved quantities form a new closed
non-linear, non-local Poisson bracket algebra. This algebra is a Virasoro
algebra extended by two conformal dimension-two primaries.
| [
{
"created": "Mon, 13 Dec 1993 19:42:01 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bilal",
"Adel",
""
]
] | The present paper studies a completely integrable conformally invariant model in 1+1 dimensions that corresponds to string propagation on the two-dimensional black hole background (semi-ininite cigar). Besides the two space-time string fields there is a third (internal) field with a very specific Liouville-type interaction leading to the complete integrability. This system is known as non-abelian Toda theory. I give the general explicit classical solution. It realizes a rather involved transformation expressing the interacting string fields in terms of (three) functions $\varphi_j(u)$ and $\bar\varphi_j(v)$ of one light-cone variable only. The latter are shown to lead to standard harmonic oscillator (free field) Poisson brackets thus paving the way towards quantization. There are three left-moving and three right-moving conserved quantities. The right (left)-moving conserved quantities form a new closed non-linear, non-local Poisson bracket algebra. This algebra is a Virasoro algebra extended by two conformal dimension-two primaries. |
0907.1246 | Bruno Goncalves | Bruno Goncalves | Some Aspects of the Exact Foldy-Wouthuysen Transformation for a Dirac
Fermion | null | Int.J.Mod.Phys.A24:1717-1720,2009 | 10.1142/S0217751X09045297 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Foldy-Wouthuysen transformation (FWT) is used to separate distinct
components of relativistic spinor field, e.g. electron and positron. Usually,
the FWT is perturbative, but in some cases there is an involution operator and
the transformation can be done exactly. We consider some aspects of an exact
FWT and show that, even if the theory does not admit an involution operator,
one can use the technique of exact FWT to obtain the conventional perturbative
result. Several particular cases can be elaborated as examples.
| [
{
"created": "Tue, 7 Jul 2009 16:02:50 GMT",
"version": "v1"
}
] | 2009-08-27 | [
[
"Goncalves",
"Bruno",
""
]
] | The Foldy-Wouthuysen transformation (FWT) is used to separate distinct components of relativistic spinor field, e.g. electron and positron. Usually, the FWT is perturbative, but in some cases there is an involution operator and the transformation can be done exactly. We consider some aspects of an exact FWT and show that, even if the theory does not admit an involution operator, one can use the technique of exact FWT to obtain the conventional perturbative result. Several particular cases can be elaborated as examples. |
1406.7659 | Pavel Krtous | Pavel Krtous, Andrei Zelnikov | Minimal surfaces and entanglement entropy in anti-de Sitter space | 36 pages, 21 figures, for version with high-resolution figures see
http://utf.mff.cuni.cz/~krtous/papers/ | JHEP 1410:077,2014 | 10.1007/JHEP10(2014)077 | Alberta Thy 11-14 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to Ryu and Takayanagi, the entanglement entropy in conformal field
theory (CFT) is related through the AdS/CFT correspondence to the area of a
minimal surface in the bulk. We study this holographic geometrical method of
calculating the entanglement entropy in the vacuum case of a CFT which is
holographically dual to empty anti-de Sitter (AdS) spacetime. Namely, we
investigate the minimal surfaces spanned on boundaries of spherical domains at
infinity of hyperbolic space, which represents a time-slice of AdS spacetime.
We consider a generic position of two spherical domains: two disjoint domains,
overlapping domains, and touching domains. In all these cases we find the
explicit expressions for the minimal surfaces and the renormalized expression
for the area. We study also the embedding of the minimal surfaces into full AdS
spacetime and we find that for a proper choice of the static Killing vector we
can model a dynamical situation of "tearing" of the minimal surface when the
domains on which it is spanned are moved away from each other.
| [
{
"created": "Mon, 30 Jun 2014 10:37:41 GMT",
"version": "v1"
}
] | 2018-07-18 | [
[
"Krtous",
"Pavel",
""
],
[
"Zelnikov",
"Andrei",
""
]
] | According to Ryu and Takayanagi, the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We study this holographic geometrical method of calculating the entanglement entropy in the vacuum case of a CFT which is holographically dual to empty anti-de Sitter (AdS) spacetime. Namely, we investigate the minimal surfaces spanned on boundaries of spherical domains at infinity of hyperbolic space, which represents a time-slice of AdS spacetime. We consider a generic position of two spherical domains: two disjoint domains, overlapping domains, and touching domains. In all these cases we find the explicit expressions for the minimal surfaces and the renormalized expression for the area. We study also the embedding of the minimal surfaces into full AdS spacetime and we find that for a proper choice of the static Killing vector we can model a dynamical situation of "tearing" of the minimal surface when the domains on which it is spanned are moved away from each other. |
hep-th/9708133 | Pawel Mazur | Pawel O. Mazur | Gravitation as a Many Body Problem | RevteX file, 7 pp., Talk given at the Confernce ``Beyond the Standard
Model V'', April 29-May 4, 1997, Balholm, Norway | AIP Conference Proceedings 415, 299-305 (1997), edited by G.
Eigen, P. Osland, and B. Stugu, Woodbury, AIP, 1997 (5th International
Conference on Physics Beyond the Standard Model) | 10.1063/1.54455 | null | hep-th astro-ph gr-qc | null | The idea of viewing gravitation as a many body phenomenon is put forward
here. Physical arguments supporting this idea are briefly reviewed. The basic
mathematical object of the new gravitational mechanics is a matrix of
operators. Striking similarity of the method of R-matrix (QISM) to the
mathematical formulation of the new gravitational mechanics is pointed out. The
s-wave difference Schrodinger equation describing a process of emission of
radiation by a gravitating particle is shown to be analogous to the Baxter
equation of the QISM.
| [
{
"created": "Mon, 25 Aug 1997 18:17:53 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Mazur",
"Pawel O.",
""
]
] | The idea of viewing gravitation as a many body phenomenon is put forward here. Physical arguments supporting this idea are briefly reviewed. The basic mathematical object of the new gravitational mechanics is a matrix of operators. Striking similarity of the method of R-matrix (QISM) to the mathematical formulation of the new gravitational mechanics is pointed out. The s-wave difference Schrodinger equation describing a process of emission of radiation by a gravitating particle is shown to be analogous to the Baxter equation of the QISM. |
hep-th/9509049 | Ti-Ming Chiang | Ti-ming Chiang and Brian R. Greene | Phases of mirror symmetry | 24 pages, tex, harvmac, vanilla.sty, 6 figures | null | null | CLNS-95/1361 | hep-th | null | We review the geometrical framework required for understanding the moduli
space of $(2,2)$ superconformal-field theories, highlighting various aspects of
its phase structure. In particular, we indicate the types of phase diagrams
that emerge for ``generic'' Calabi-Yau theories and review an efficient method
for their determination. We then focus on some special types of phase diagrams
that have bearing on the issues of rigid manifolds, mirror symmetry and
geometrical duality.
| [
{
"created": "Sat, 9 Sep 1995 02:16:31 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Sep 1995 01:52:09 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Chiang",
"Ti-ming",
""
],
[
"Greene",
"Brian R.",
""
]
] | We review the geometrical framework required for understanding the moduli space of $(2,2)$ superconformal-field theories, highlighting various aspects of its phase structure. In particular, we indicate the types of phase diagrams that emerge for ``generic'' Calabi-Yau theories and review an efficient method for their determination. We then focus on some special types of phase diagrams that have bearing on the issues of rigid manifolds, mirror symmetry and geometrical duality. |
1512.04915 | Philip D. Mannheim | Philip D. Mannheim | Antilinearity Rather than Hermiticity as a Guiding Principle for Quantum
Theory | 41 pages. arXiv admin note: substantial text overlap with
arXiv:1506.08432. Majorana spinor quantization scheme constructed in which
all spin zero fermion multilinears are real. Charge conjugation and the C
operator of PT theory are compared and contrasted. Discussion on causality
included. Text rewritten, with no change in physics | null | null | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Currently there is much interest in Hamiltonians that are not Hermitian but
instead possess an antilinear $PT$ symmetry, since such Hamiltonians can still
lead to the time-independent evolution of scalar products, and can still have
an entirely real energy spectrum. However, such theories can also admit of
energy spectra in which energies come in complex conjugate pairs, and can even
admit of Hamiltonians that cannot be diagonalized at all. Hermiticity is just a
particular realization of $PT$ symmetry, with $PT$ symmetry being the more
general. These $PT$ theories are themselves part of an even broader class of
theories, theories that can be characterized by possessing some general
antilinear symmetry, as that requirement alone is a both necessary and
sufficient condition for the time-independent evolution of scalar products,
with all the different realizations of the $PT$ symmetry program then being
obtained. Use of complex Lorentz invariance allows us to show that the
antilinear symmetry is uniquely specified to be $CPT$, with the $CPT$ theorem
thus being extended to the non-Hermitian case. For theories that are separately
charge conjugation invariant, the results of the $PT$-symmetry program then
follow. We show that in order to construct the correct classical action needed
for a path integral quantization one must impose $CPT$ symmetry on each
classical path, a requirement that has no counterpart in any Hermiticity
condition since Hermiticity of a Hamiltonian is only definable after the
quantization has been performed and the quantum Hilbert space has been
constructed. We show that whether or not a $CPT$-invariant Hamiltonian is
Hermitian is a property of the solutions to the theory and not of the
Hamiltonian itself. Thus Hermiticity never needs to be postulated at all.
| [
{
"created": "Tue, 15 Dec 2015 20:20:12 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2016 17:14:11 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Apr 2016 17:37:54 GMT",
"version": "v3"
},
{
"created": "Thu, 3 Nov 2016 18:18:29 GMT",
"version": "v4"
},
{
"cre... | 2017-05-12 | [
[
"Mannheim",
"Philip D.",
""
]
] | Currently there is much interest in Hamiltonians that are not Hermitian but instead possess an antilinear $PT$ symmetry, since such Hamiltonians can still lead to the time-independent evolution of scalar products, and can still have an entirely real energy spectrum. However, such theories can also admit of energy spectra in which energies come in complex conjugate pairs, and can even admit of Hamiltonians that cannot be diagonalized at all. Hermiticity is just a particular realization of $PT$ symmetry, with $PT$ symmetry being the more general. These $PT$ theories are themselves part of an even broader class of theories, theories that can be characterized by possessing some general antilinear symmetry, as that requirement alone is a both necessary and sufficient condition for the time-independent evolution of scalar products, with all the different realizations of the $PT$ symmetry program then being obtained. Use of complex Lorentz invariance allows us to show that the antilinear symmetry is uniquely specified to be $CPT$, with the $CPT$ theorem thus being extended to the non-Hermitian case. For theories that are separately charge conjugation invariant, the results of the $PT$-symmetry program then follow. We show that in order to construct the correct classical action needed for a path integral quantization one must impose $CPT$ symmetry on each classical path, a requirement that has no counterpart in any Hermiticity condition since Hermiticity of a Hamiltonian is only definable after the quantization has been performed and the quantum Hilbert space has been constructed. We show that whether or not a $CPT$-invariant Hamiltonian is Hermitian is a property of the solutions to the theory and not of the Hamiltonian itself. Thus Hermiticity never needs to be postulated at all. |
hep-th/0201187 | Per Berglund | P. Berglund, T. Hubsch, D. Minic | Relating the Cosmological Constant and Supersymmetry Breaking in Warped
Compactifications of IIB String Theory | 7 pages, LaTeX, references added and minor changes made, (v3) map
between deSitter and global cosmic brane solutions clarified, supersymmetry
breaking discussion improved and references added | Phys.Rev.D67:041901,2003 | 10.1103/PhysRevD.67.041901 | null | hep-th | null | It has been suggested that the observed value of the cosmological constant is
related to the supersymmetry breaking scale M_{susy} through the formula Lambda
\sim M_p^4 (M_{susy}/M_p)^8. We point out that a similar relation naturally
arises in the codimension two solutions of warped space-time varying
compactifications of string theory in which non-isotropic stringy moduli induce
a small but positive cosmological constant.
| [
{
"created": "Thu, 24 Jan 2002 07:15:46 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2002 17:45:37 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Oct 2002 19:48:30 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Berglund",
"P.",
""
],
[
"Hubsch",
"T.",
""
],
[
"Minic",
"D.",
""
]
] | It has been suggested that the observed value of the cosmological constant is related to the supersymmetry breaking scale M_{susy} through the formula Lambda \sim M_p^4 (M_{susy}/M_p)^8. We point out that a similar relation naturally arises in the codimension two solutions of warped space-time varying compactifications of string theory in which non-isotropic stringy moduli induce a small but positive cosmological constant. |
1904.05689 | Yutaka Sakamura | Yutaka Sakamura | Spinning vortex braneworld | 34 pages, 4 figures, matches published version in PTEP | Progress of Theoretical and Experimental Physics, Volume 2019,
Issue 12, December 2019, 123B05 | 10.1093/ptep/ptz130 | KEK-TH-2120 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A spinning vortex is considered in the context of the braneworld. We
numerically analyze the profiles of a stationary solution in a six-dimensional
U(1) gauge theory, and clarify their dependence on the angular velocity in the
field space $\omega$. We find that there is an upper limit on $\omega$, and the
vortex configuration should be parameterized by the angular momentum rather
than $\omega$. We also discuss matter modes localized on the vortex. We show
that the vortex spin mixes the KK masses and induces nonvanishing masses to the
zero-modes. It also resolves the degeneracy in the KK spectrum that the static
vortex had.
| [
{
"created": "Thu, 11 Apr 2019 13:45:10 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2019 07:16:32 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Sep 2019 13:57:08 GMT",
"version": "v3"
},
{
"created": "Sun, 6 Oct 2019 08:49:52 GMT",
"version": "v4"
},
{
"cr... | 2020-02-24 | [
[
"Sakamura",
"Yutaka",
""
]
] | A spinning vortex is considered in the context of the braneworld. We numerically analyze the profiles of a stationary solution in a six-dimensional U(1) gauge theory, and clarify their dependence on the angular velocity in the field space $\omega$. We find that there is an upper limit on $\omega$, and the vortex configuration should be parameterized by the angular momentum rather than $\omega$. We also discuss matter modes localized on the vortex. We show that the vortex spin mixes the KK masses and induces nonvanishing masses to the zero-modes. It also resolves the degeneracy in the KK spectrum that the static vortex had. |
hep-th/9910169 | C. Cartier | C. Cartier, E.J. Copeland and R. Madden | The graceful exit in pre-big bang string cosmology | 14 pages, 6 figures, JHEP class. Added new section on the classical
correction and references | JHEP0001:035,2000 | 10.1088/1126-6708/2000/01/035 | SUSX-TH-99-018 | hep-th | null | We re-examine the graceful exit problem in the pre-big bang scenario of
string cosmology, by considering the most general time-dependent classical
correction to the Lagrangian with up to four derivatives. By including possible
forms for quantum loop corrections we examine the allowed region of parameter
space for the coupling constants which enable our solutions to link smoothly
the two asymptotic low-energy branches of the pre-big bang scenario, and
observe that these solutions can satisfy recently proposed entropic bounds on
viable singularity free cosmologies.
| [
{
"created": "Thu, 21 Oct 1999 14:33:11 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 1999 14:46:14 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Feb 2000 16:04:53 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Cartier",
"C.",
""
],
[
"Copeland",
"E. J.",
""
],
[
"Madden",
"R.",
""
]
] | We re-examine the graceful exit problem in the pre-big bang scenario of string cosmology, by considering the most general time-dependent classical correction to the Lagrangian with up to four derivatives. By including possible forms for quantum loop corrections we examine the allowed region of parameter space for the coupling constants which enable our solutions to link smoothly the two asymptotic low-energy branches of the pre-big bang scenario, and observe that these solutions can satisfy recently proposed entropic bounds on viable singularity free cosmologies. |
1403.0434 | Nugaev Emin | E. Nugaev | Henon-Heiles potential as a bridge between nontopological solitons of
different types | 6 pages,2 figures. Revised version accepted for a publication in
Commun.Nonlinear Sci.Numer.Simul | Communications in Nonlinear Science and Numerical Simulation 20
(2015), pp. 443-446 | 10.1016/j.cnsns.2014.06.016 | INR-TH-2014-008 | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the Hubbard-Stratanovich transformation to the Lagrangian for
nontopological solitons of the Coleman type in a two-dimensional theory. The
resulted theory with an extra real scalar field can be supplemented with a
cubic term to obtain a model with exact analytical solution.
| [
{
"created": "Mon, 3 Mar 2014 13:59:35 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 2014 14:28:30 GMT",
"version": "v2"
}
] | 2014-09-09 | [
[
"Nugaev",
"E.",
""
]
] | We apply the Hubbard-Stratanovich transformation to the Lagrangian for nontopological solitons of the Coleman type in a two-dimensional theory. The resulted theory with an extra real scalar field can be supplemented with a cubic term to obtain a model with exact analytical solution. |
1607.01240 | A. Yu. Petrov | M. Gomes, T. Mariz, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva | On the radiative corrections in the Horava-Lifshitz z=2 QED | 10 pages, minor corrections | Phys. Lett. B764, 277 (2017) | 10.1016/j.physletb.2016.11.042 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate one-loop contributions to the two and three point spinor-vector
functions in z=2 Horava-Lifshitz QED. This allows us to obtain the anomalous
magnetic moment.
| [
{
"created": "Tue, 5 Jul 2016 13:16:19 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Oct 2016 17:21:25 GMT",
"version": "v2"
}
] | 2016-12-05 | [
[
"Gomes",
"M.",
""
],
[
"Mariz",
"T.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"da Silva",
"A. J.",
""
]
] | We calculate one-loop contributions to the two and three point spinor-vector functions in z=2 Horava-Lifshitz QED. This allows us to obtain the anomalous magnetic moment. |
hep-th/0303264 | Holger Gies | Holger Gies (Heidelberg U, CERN), Kurt Langfeld (Tubingen U), Laurent
Moyaerts (Tubingen U) | Casimir Effect on the Worldline | 27 pages, 10 figures, Sect. 2.1 more self-contained, improved data
for Fig. 6, minor corrections, new Refs, version to be published in JHEP | JHEP0306:018,2003 | 10.1088/1126-6708/2003/06/018 | CERN-TH/2003-060, UNITU-THEP-05/03, HD-THEP-03-16 | hep-th hep-lat hep-ph | null | We develop a method to compute the Casimir effect for arbitrary geometries.
The method is based on the string-inspired worldline approach to quantum field
theory and its numerical realization with Monte-Carlo techniques. Concentrating
on Casimir forces between rigid bodies induced by a fluctuating scalar field,
we test our method with the parallel-plate configuration. For the
experimentally relevant sphere-plate configuration, we study curvature effects
quantitatively and perform a comparison with the ``proximity force
approximation'', which is the standard approximation technique. Sizable
curvature effects are found for a distance-to-curvature-radius ratio of a/R >~
0.02. Our method is embedded in renormalizable quantum field theory with a
controlled treatment of the UV divergencies. As a technical by-product, we
develop various efficient algorithms for generating closed-loop ensembles with
Gaussian distribution.
| [
{
"created": "Mon, 31 Mar 2003 17:23:27 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jun 2003 17:13:12 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gies",
"Holger",
"",
"Heidelberg U, CERN"
],
[
"Langfeld",
"Kurt",
"",
"Tubingen U"
],
[
"Moyaerts",
"Laurent",
"",
"Tubingen U"
]
] | We develop a method to compute the Casimir effect for arbitrary geometries. The method is based on the string-inspired worldline approach to quantum field theory and its numerical realization with Monte-Carlo techniques. Concentrating on Casimir forces between rigid bodies induced by a fluctuating scalar field, we test our method with the parallel-plate configuration. For the experimentally relevant sphere-plate configuration, we study curvature effects quantitatively and perform a comparison with the ``proximity force approximation'', which is the standard approximation technique. Sizable curvature effects are found for a distance-to-curvature-radius ratio of a/R >~ 0.02. Our method is embedded in renormalizable quantum field theory with a controlled treatment of the UV divergencies. As a technical by-product, we develop various efficient algorithms for generating closed-loop ensembles with Gaussian distribution. |
hep-th/0612096 | Adam Barrett | Adam B. Barrett | M-Theory on Manifolds with G_2 Holonomy | 149 pages, latex, doctoral thesis | DPhil Thesis, University of Oxford (2006) | null | null | hep-th | null | We study M-theory on G_2 holonomy spaces that are constructed by dividing a
seven-torus by some discrete symmetry group. We classify possible group
elements that may be used in this construction and use them to find a set of
possible orbifold groups that lead to co-dimension four singularities. We
describe how to blow up such singularities, and then derive the moduli Kaehler
potential for M-theory on the resulting class of G_2 manifolds. To consider the
singular limit it is necessary to derive the supergravity action for M-theory
on the orbifold C^2/Z_N. We do this by coupling 11-dimensional supergravity to
a seven-dimensional Yang-Mills theory located on the orbifold fixed plane. We
show that the resulting action is supersymmetric to leading non-trivial order
in the 11-dimensional Newton constant. Obtaining this action enables us to then
reduce M-theory on a toroidal G_2 orbifold with co-dimension four
singularities, taking explicitly into account the additional gauge fields at
the singularities. The four-dimensional effective theory has N=1 supersymmetry
with non-Abelian N=4 gauge theory sub-sectors. We present explicit formulae for
the Kaehler potential, gauge-kinetic function and superpotential. In the
four-dimensional theory, blowing-up of the orbifold is described by
continuation along D-flat directions. Using this interpretation, we demonstrate
consistency of our results for singular G_2 spaces with corresponding ones
obtained for smooth G_2 spaces. In addition, we consider the effects of
switching on flux and Wilson lines on singular loci of the G_2 space, and we
discuss the relation to N=4 SYM theory.
| [
{
"created": "Mon, 11 Dec 2006 18:36:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Barrett",
"Adam B.",
""
]
] | We study M-theory on G_2 holonomy spaces that are constructed by dividing a seven-torus by some discrete symmetry group. We classify possible group elements that may be used in this construction and use them to find a set of possible orbifold groups that lead to co-dimension four singularities. We describe how to blow up such singularities, and then derive the moduli Kaehler potential for M-theory on the resulting class of G_2 manifolds. To consider the singular limit it is necessary to derive the supergravity action for M-theory on the orbifold C^2/Z_N. We do this by coupling 11-dimensional supergravity to a seven-dimensional Yang-Mills theory located on the orbifold fixed plane. We show that the resulting action is supersymmetric to leading non-trivial order in the 11-dimensional Newton constant. Obtaining this action enables us to then reduce M-theory on a toroidal G_2 orbifold with co-dimension four singularities, taking explicitly into account the additional gauge fields at the singularities. The four-dimensional effective theory has N=1 supersymmetry with non-Abelian N=4 gauge theory sub-sectors. We present explicit formulae for the Kaehler potential, gauge-kinetic function and superpotential. In the four-dimensional theory, blowing-up of the orbifold is described by continuation along D-flat directions. Using this interpretation, we demonstrate consistency of our results for singular G_2 spaces with corresponding ones obtained for smooth G_2 spaces. In addition, we consider the effects of switching on flux and Wilson lines on singular loci of the G_2 space, and we discuss the relation to N=4 SYM theory. |
1802.02319 | Slava Rychkov | Simao Meneses, Joao Penedones, Slava Rychkov, J. M. Viana Parente
Lopes, Pierre Yvernay | A structural test for the conformal invariance of the critical 3d Ising
model | v2: 27pp; many explanations and some corrections added; Monte Carlo
measurement reinterpreted as a lower bound; conclusions unchanged; v3:
misprint in Eq. (2.5) corrected; v4: Eqs (1.4,1.5) and appendix B added,
version to appear in JHEP; v5: Ref. [4] to 3d SAW conformal invariance added | null | 10.1007/JHEP04(2019)115 | null | hep-th cond-mat.stat-mech hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | How can a renormalization group fixed point be scale invariant without being
conformal? Polchinski (1988) showed that this may happen if the theory contains
a virial current -- a non-conserved vector operator of dimension exactly
$(d-1)$, whose divergence expresses the trace of the stress tensor. We point
out that this scenario can be probed via lattice Monte Carlo simulations, using
the critical 3d Ising model as an example. Our results put a lower bound
$\Delta_V>5.0$ on the scaling dimension of the lowest virial current candidate
$V$, well above 2 expected for the true virial current. This implies that the
critical 3d Ising model has no virial current, providing a structural
explanation for the conformal invariance of the model.
| [
{
"created": "Wed, 7 Feb 2018 06:22:56 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jan 2019 19:04:48 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Feb 2019 16:46:16 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Apr 2019 13:03:24 GMT",
"version": "v4"
},
{
"cre... | 2021-01-19 | [
[
"Meneses",
"Simao",
""
],
[
"Penedones",
"Joao",
""
],
[
"Rychkov",
"Slava",
""
],
[
"Lopes",
"J. M. Viana Parente",
""
],
[
"Yvernay",
"Pierre",
""
]
] | How can a renormalization group fixed point be scale invariant without being conformal? Polchinski (1988) showed that this may happen if the theory contains a virial current -- a non-conserved vector operator of dimension exactly $(d-1)$, whose divergence expresses the trace of the stress tensor. We point out that this scenario can be probed via lattice Monte Carlo simulations, using the critical 3d Ising model as an example. Our results put a lower bound $\Delta_V>5.0$ on the scaling dimension of the lowest virial current candidate $V$, well above 2 expected for the true virial current. This implies that the critical 3d Ising model has no virial current, providing a structural explanation for the conformal invariance of the model. |
hep-th/0204111 | K. Lee | Yoonbai Kim (SKKU) and Kimyeong Lee (KIAS) | First and Second Order Vortex Dynamics | a rev tex file, 22 pages, no figure | Phys.Rev. D66 (2002) 045016 | 10.1103/PhysRevD.66.045016 | KIAS-P2010 | hep-th | null | The low energy dynamics of vortices in selfdual Abelian Higgs theory is of
second order in vortex velocity and characterized by the moduli space metric.
When Chern-Simons term with small coefficient is added to the theory, we show
that a term linear in vortex velocity appears and can be consistently added to
the second order expression. We provides an additional check of the first and
second order terms by studying the angular momentum in the field theory. We
briefly explore other first order term due to small background electric charge
density and also the harmonic potential well for vortices given by the moment
of inertia.
| [
{
"created": "Sat, 13 Apr 2002 14:27:21 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kim",
"Yoonbai",
"",
"SKKU"
],
[
"Lee",
"Kimyeong",
"",
"KIAS"
]
] | The low energy dynamics of vortices in selfdual Abelian Higgs theory is of second order in vortex velocity and characterized by the moduli space metric. When Chern-Simons term with small coefficient is added to the theory, we show that a term linear in vortex velocity appears and can be consistently added to the second order expression. We provides an additional check of the first and second order terms by studying the angular momentum in the field theory. We briefly explore other first order term due to small background electric charge density and also the harmonic potential well for vortices given by the moment of inertia. |
1206.4943 | Carl Bender | Carl M. Bender, Moshe Moshe, and Sarben Sarkar | PT-symmetric interpretation of double-scaling | 11 pages, 2 figures | null | 10.1088/1751-8113/46/10/102002 | KCL-PH-TH-2012-22 | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The conventional double-scaling limit of an O(N)-symmetric quartic quantum
field theory is inconsistent because the critical coupling constant is
negative. Thus, at the critical coupling the Lagrangian defines a quantum
theory with an upside-down potential whose energy appears to be unbounded
below. Worse yet, the integral representation of the partition function of the
theory does not exist. It is shown that one can avoid these difficulties if one
replaces the original theory by its PT-symmetric analog. For a zero-dimensional
O(N)-symmetric quartic vector model the partition function of the PT-symmetric
analog is calculated explicitly in the double-scaling limit.
| [
{
"created": "Thu, 21 Jun 2012 16:59:25 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Feb 2013 22:14:20 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Bender",
"Carl M.",
""
],
[
"Moshe",
"Moshe",
""
],
[
"Sarkar",
"Sarben",
""
]
] | The conventional double-scaling limit of an O(N)-symmetric quartic quantum field theory is inconsistent because the critical coupling constant is negative. Thus, at the critical coupling the Lagrangian defines a quantum theory with an upside-down potential whose energy appears to be unbounded below. Worse yet, the integral representation of the partition function of the theory does not exist. It is shown that one can avoid these difficulties if one replaces the original theory by its PT-symmetric analog. For a zero-dimensional O(N)-symmetric quartic vector model the partition function of the PT-symmetric analog is calculated explicitly in the double-scaling limit. |
2112.04514 | Nam Nguyen | Nam Nguyen, Vasilis Niarchos | On matched asymptotic expansions of backreacting metastable anti-branes | 42 pages, 3 figures. Version 2 changes: a new illustrative figure
added, some further explanations added, and presentation changed to match the
published version | JHEP 06 (2022) 055 | 10.1007/JHEP06(2022)055 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We construct analytically a perturbative supergravity solution that captures
the backreaction of a metastable state of anti-branes in the background of a
particular modification of the Klebanov-Strassler throat in a long-wavelength
approximation. Our solution, which has no unphysical singularities, describes
how non-supersymmetric spherical NS5-branes with dissolved anti-D3 brane charge
backreact in a fluxed throat geometry. It supports previous claims that there
is a well-behaved supergravity description of the metastable state of wrapped
NS5-branes proposed years ago by Kachru, Pearson, and Verlinde.
| [
{
"created": "Wed, 8 Dec 2021 19:00:04 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jun 2022 12:25:52 GMT",
"version": "v2"
}
] | 2022-06-22 | [
[
"Nguyen",
"Nam",
""
],
[
"Niarchos",
"Vasilis",
""
]
] | We construct analytically a perturbative supergravity solution that captures the backreaction of a metastable state of anti-branes in the background of a particular modification of the Klebanov-Strassler throat in a long-wavelength approximation. Our solution, which has no unphysical singularities, describes how non-supersymmetric spherical NS5-branes with dissolved anti-D3 brane charge backreact in a fluxed throat geometry. It supports previous claims that there is a well-behaved supergravity description of the metastable state of wrapped NS5-branes proposed years ago by Kachru, Pearson, and Verlinde. |
1010.1125 | Igor Bandos A. | Igor A. Bandos | M(atrix) model interaction with 11D supergravity | 6 pages, no figures, contribution to PASCOS 2010 | J.Phys.Conf.Ser.259:012036,2010 | 10.1088/1742-6596/259/1/012036 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the equations of motion for multiple M0-brane (mM0) system in an
arbitrary curved supergravity superspace which generalizes the M(atrix) model
equations for the case of arbitrary supergravity background. Although these
were obtained in the frame of superembedding approach to mM0, we do not make a
review of this approach in this contribution but concentrate discussion on the
structure of the equations.
| [
{
"created": "Wed, 6 Oct 2010 11:23:17 GMT",
"version": "v1"
}
] | 2011-01-13 | [
[
"Bandos",
"Igor A.",
""
]
] | We present the equations of motion for multiple M0-brane (mM0) system in an arbitrary curved supergravity superspace which generalizes the M(atrix) model equations for the case of arbitrary supergravity background. Although these were obtained in the frame of superembedding approach to mM0, we do not make a review of this approach in this contribution but concentrate discussion on the structure of the equations. |
1407.3814 | Sabrina Pasterski | Vyacheslav Lysov, Sabrina Pasterski and Andrew Strominger | Low's Subleading Soft Theorem as a Symmetry of QED | 11 pages | Phys. Rev. Lett. 113, 111601 (2014) | 10.1103/PhysRevLett.113.111601 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was shown by F. Low in the 1950s that the subleading terms of soft photon
S-matrix elements obey a universal linear relation. In this paper we give a new
interpretation to this old relation, for the case of massless QED, as an
infinitesimal symmetry of the S-matrix. The symmetry is shown to be locally
generated by a vector field on the conformal sphere at null infinity. Explicit
expressions are constructed for the associated charges as integrals over null
infinity and shown to generate the symmetry. These charges are local
generalizations of electric and magnetic dipole charges.
| [
{
"created": "Mon, 14 Jul 2014 20:56:37 GMT",
"version": "v1"
}
] | 2014-09-17 | [
[
"Lysov",
"Vyacheslav",
""
],
[
"Pasterski",
"Sabrina",
""
],
[
"Strominger",
"Andrew",
""
]
] | It was shown by F. Low in the 1950s that the subleading terms of soft photon S-matrix elements obey a universal linear relation. In this paper we give a new interpretation to this old relation, for the case of massless QED, as an infinitesimal symmetry of the S-matrix. The symmetry is shown to be locally generated by a vector field on the conformal sphere at null infinity. Explicit expressions are constructed for the associated charges as integrals over null infinity and shown to generate the symmetry. These charges are local generalizations of electric and magnetic dipole charges. |
1802.08650 | Amadeo Jimenez-Alba | Martin Ammon, Matteo Baggioli, Amadeo Jim\'enez-Alba, Sebastian
Moeckel | A smeared quantum phase transition in disordered holography | 28 Pages, 13 Figures | Journal of High Energy Physics volume 2018, Article number: 68
(2018) | 10.1007/JHEP04(2018)068 | CCTP-2018-2, ITCP-IPP 2017/21 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effects of quenched one-dimensional disorder on the holographic
Weyl semimetal quantum phase transition (QPT), with a particular focus on the
quantum critical region. We observe the smearing of the sharp QPT linked to the
appearance of rare regions at the horizon where locally the order parameter is
non-zero. We discuss the role of the disorder correlation and we compare our
results to expectations from condensed matter theory at weak coupling. We
analyze also the interplay of finite temperature and disorder. Within the
quantum critical region we find indications for the presence of log-oscillatory
structures in the order parameter hinting at the existence of an IR fixed point
with discrete scale invariance.
| [
{
"created": "Fri, 23 Feb 2018 17:29:13 GMT",
"version": "v1"
}
] | 2020-03-06 | [
[
"Ammon",
"Martin",
""
],
[
"Baggioli",
"Matteo",
""
],
[
"Jiménez-Alba",
"Amadeo",
""
],
[
"Moeckel",
"Sebastian",
""
]
] | We study the effects of quenched one-dimensional disorder on the holographic Weyl semimetal quantum phase transition (QPT), with a particular focus on the quantum critical region. We observe the smearing of the sharp QPT linked to the appearance of rare regions at the horizon where locally the order parameter is non-zero. We discuss the role of the disorder correlation and we compare our results to expectations from condensed matter theory at weak coupling. We analyze also the interplay of finite temperature and disorder. Within the quantum critical region we find indications for the presence of log-oscillatory structures in the order parameter hinting at the existence of an IR fixed point with discrete scale invariance. |
0910.1601 | Vasilis Niarchos | Roberto Emparan, Troels Harmark, Vasilis Niarchos, Niels A. Obers | Essentials of Blackfold Dynamics | 37 pages, v2 minor comments and a reference added | JHEP 1003:063,2010 | 10.1007/JHEP03(2010)063 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop and significantly generalize the effective worldvolume theory for
higher-dimensional black holes recently proposed by the authors. The theory,
which regards the black hole as a black brane curved into a submanifold of a
background spacetime -a blackfold-, can be formulated in terms of an effective
fluid that lives on a dynamical worldvolume. Thus the blackfold equations split
into intrinsic (fluid-dynamical) equations, and extrinsic (generalized geodesic
embedding) equations. The intrinsic equations can be easily solved for
equilibrium configurations, thus providing an efficient formalism for the
approximate construction of novel stationary black holes. Furthermore, it is
possible to study time evolution. In particular, the long-wavelength component
of the Gregory-Laflamme instability of black branes is obtained as a sound-mode
instability of the effective fluid. We also discuss action principles,
connections to black hole thermodynamics, and other consequences and possible
extensions of the approach. Finally, we outline how the fluid/AdS-gravity
correspondence is related to this formalism.
| [
{
"created": "Thu, 8 Oct 2009 21:15:05 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 2009 10:57:19 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Emparan",
"Roberto",
""
],
[
"Harmark",
"Troels",
""
],
[
"Niarchos",
"Vasilis",
""
],
[
"Obers",
"Niels A.",
""
]
] | We develop and significantly generalize the effective worldvolume theory for higher-dimensional black holes recently proposed by the authors. The theory, which regards the black hole as a black brane curved into a submanifold of a background spacetime -a blackfold-, can be formulated in terms of an effective fluid that lives on a dynamical worldvolume. Thus the blackfold equations split into intrinsic (fluid-dynamical) equations, and extrinsic (generalized geodesic embedding) equations. The intrinsic equations can be easily solved for equilibrium configurations, thus providing an efficient formalism for the approximate construction of novel stationary black holes. Furthermore, it is possible to study time evolution. In particular, the long-wavelength component of the Gregory-Laflamme instability of black branes is obtained as a sound-mode instability of the effective fluid. We also discuss action principles, connections to black hole thermodynamics, and other consequences and possible extensions of the approach. Finally, we outline how the fluid/AdS-gravity correspondence is related to this formalism. |
hep-th/9403154 | null | A. P. Isaev | Interrelations between Quantum Groups and Reflection Equation (Braided)
Algebras | 8 pages, LaTeX | Lett.Math.Phys.34:333-341,1995 | 10.1007/BF00750065 | Dubna preprint E5-94-102 (1994) | hep-th alg-geom math.QA | null | We show that the differential complex $\Omega_{B}$ over the braided matrix
algebra $BM_{q}(N)$ represents a covariant comodule with respect to the
coaction of the Hopf algebra $\Omega_{A}$ which is a differential extension of
$GL_{q}(N)$. On the other hand, the algebra $\Omega_{A}$ is a covariant braided
comodule with respect to the coaction of the braided Hopf algebra $\Omega_{B}$.
Geometrical aspects of these results are discussed.
| [
{
"created": "Fri, 25 Mar 1994 08:44:43 GMT",
"version": "v1"
}
] | 2011-07-08 | [
[
"Isaev",
"A. P.",
""
]
] | We show that the differential complex $\Omega_{B}$ over the braided matrix algebra $BM_{q}(N)$ represents a covariant comodule with respect to the coaction of the Hopf algebra $\Omega_{A}$ which is a differential extension of $GL_{q}(N)$. On the other hand, the algebra $\Omega_{A}$ is a covariant braided comodule with respect to the coaction of the braided Hopf algebra $\Omega_{B}$. Geometrical aspects of these results are discussed. |
1608.00349 | Mehmet Ozkan | Mehmet Ozkan | Off-Shell N=2 Linear Multiplets in Five Dimensions | 21 pages, v2: Typos Corrected, References Added, Version appeared in
JHEP | null | 10.1007/JHEP11(2016)157 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a superconformal tensor calculus for an arbitrary number of five
dimensional N=2 linear multiplets. We also demonstrate how to construct higher
derivative invariants and higher order supersymmetric off-diagonal models.
Finally, we show the procedure required for the derivation of the
supersymmetric completion of the non-Abelian $F^4$ action.
| [
{
"created": "Mon, 1 Aug 2016 08:32:01 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Nov 2016 16:57:51 GMT",
"version": "v2"
}
] | 2016-11-29 | [
[
"Ozkan",
"Mehmet",
""
]
] | We present a superconformal tensor calculus for an arbitrary number of five dimensional N=2 linear multiplets. We also demonstrate how to construct higher derivative invariants and higher order supersymmetric off-diagonal models. Finally, we show the procedure required for the derivation of the supersymmetric completion of the non-Abelian $F^4$ action. |
hep-th/9306103 | null | C. Ahn, G. Delfino and G. Mussardo | Mapping between the Sinh-Gordon and Ising Models | 10 pages, LATEX file, (two figures not included in the text, to be
requested separately) IC/93/143, ISAS/EP/93/89 | Phys.Lett. B317 (1993) 573-580 | 10.1016/0370-2693(93)91375-W | null | hep-th | null | The $S$-matrix of the Ising Model can be obtained as particular limit of the
roaming trajectories associated to of the $S$-matrix of the Sinh-Gordon model.
Using the form factors of the Sinh-Gordon, we analyse the correspondence
between the operators of the two theories.
| [
{
"created": "Mon, 21 Jun 1993 14:31:25 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Ahn",
"C.",
""
],
[
"Delfino",
"G.",
""
],
[
"Mussardo",
"G.",
""
]
] | The $S$-matrix of the Ising Model can be obtained as particular limit of the roaming trajectories associated to of the $S$-matrix of the Sinh-Gordon model. Using the form factors of the Sinh-Gordon, we analyse the correspondence between the operators of the two theories. |
0905.0255 | Bin Hu | Rong-Gen Cai, Bin Hu, Hong-Bo Zhang | Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity | 5pages, no figures, references added, version to appear in PRD(R) | Phys.Rev.D80:041501,2009 | 10.1103/PhysRevD.80.041501 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the linear cosmological perturbations of Ho\v{r}ava-Lifshitz
gravity in a FRW universe without any matter. Our results show that a new gauge
invariant dynamical scalar mode emerges, due to the gauge transformation under
the "foliation-preserving" diffeomorphism and "projectability condition", and
it can produce a scale invariant power spectrum. In the infrared regime with
$\lambda=1$, the dynamical scalar degree of freedom turns to be a non-dynamical
one at the linear order level.
| [
{
"created": "Mon, 4 May 2009 06:25:18 GMT",
"version": "v1"
},
{
"created": "Tue, 12 May 2009 15:38:29 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Jul 2009 01:16:21 GMT",
"version": "v3"
}
] | 2009-09-02 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Hu",
"Bin",
""
],
[
"Zhang",
"Hong-Bo",
""
]
] | We investigate the linear cosmological perturbations of Ho\v{r}ava-Lifshitz gravity in a FRW universe without any matter. Our results show that a new gauge invariant dynamical scalar mode emerges, due to the gauge transformation under the "foliation-preserving" diffeomorphism and "projectability condition", and it can produce a scale invariant power spectrum. In the infrared regime with $\lambda=1$, the dynamical scalar degree of freedom turns to be a non-dynamical one at the linear order level. |
hep-th/0607045 | Jarah Evslin | Jarah Evslin and Hisham Sati | Can D-Branes Wrap Nonrepresentable Cycles? | 11 pages, no figures | JHEP0610:050,2006 | 10.1088/1126-6708/2006/10/050 | null | hep-th | null | Sometimes a homology cycle of a nonsingular compactification manifold cannot
be represented by a nonsingular submanifold. We want to know whether such
nonrepresentable cycles can be wrapped by D-branes. A brane wrapping a
representable cycle carries a K-theory charge if and only if its Freed-Witten
anomaly vanishes. However some K-theory charges are only carried by branes that
wrap nonrepresentable cycles. We provide two examples of Freed-Witten
anomaly-free D6-branes wrapping nonrepresentable cycles in the presence of a
trivial NS 3-form flux. The first occurs in type IIA string theory compactified
on the Sp(2) group manifold and the second in IIA on a product of lens spaces.
We find that the first D6-brane carries a K-theory charge while the second does
not.
| [
{
"created": "Thu, 6 Jul 2006 23:05:25 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Evslin",
"Jarah",
""
],
[
"Sati",
"Hisham",
""
]
] | Sometimes a homology cycle of a nonsingular compactification manifold cannot be represented by a nonsingular submanifold. We want to know whether such nonrepresentable cycles can be wrapped by D-branes. A brane wrapping a representable cycle carries a K-theory charge if and only if its Freed-Witten anomaly vanishes. However some K-theory charges are only carried by branes that wrap nonrepresentable cycles. We provide two examples of Freed-Witten anomaly-free D6-branes wrapping nonrepresentable cycles in the presence of a trivial NS 3-form flux. The first occurs in type IIA string theory compactified on the Sp(2) group manifold and the second in IIA on a product of lens spaces. We find that the first D6-brane carries a K-theory charge while the second does not. |
1108.5632 | Yuji Tachikawa | Yuji Tachikawa | A strange relationship between 2d CFT and 4d gauge theory | 38 pages, 19 figures. Based on lectures given at the "Summer School
on Mathematical Physics 2011" at Komaba, August 2011 | null | null | IPMU11-0147 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A relationship between 4d gauge theory and 2d CFT will be reviewed from the
very basics. We will first cover the introductory material on the 2d CFT and on
the instantons of 4d gauge theory. Next we will explicitly calculate and check
the agreement of the norm of a coherent state on the 2d side and the instanton
partition function on the 4d side. We will then see how this agreement can be
understood from the perspective of string and M theory.
| [
{
"created": "Mon, 29 Aug 2011 16:24:25 GMT",
"version": "v1"
}
] | 2011-08-30 | [
[
"Tachikawa",
"Yuji",
""
]
] | A relationship between 4d gauge theory and 2d CFT will be reviewed from the very basics. We will first cover the introductory material on the 2d CFT and on the instantons of 4d gauge theory. Next we will explicitly calculate and check the agreement of the norm of a coherent state on the 2d side and the instanton partition function on the 4d side. We will then see how this agreement can be understood from the perspective of string and M theory. |
hep-th/0305198 | P. M. Sutcliffe | Paul Sutcliffe | Domain wall networks on solitons | 16 pages, including figures. v2 includes a discussion of Archimedean
networks | Phys.Rev.D68:085004,2003 | 10.1103/PhysRevD.68.085004 | null | hep-th | null | Domain wall networks on the surface of a soliton are studied in a simple
theory. It consists of two complex scalar fields, in (3+1)-dimensions, with a
global U(1) x Z_n symmetry, where n>2. Solutions are computed numerically in
which one of the fields forms a Q-ball and the other field forms a network of
domain walls localized on the surface of the Q-ball. Examples are presented in
which the domain walls lie along the edges of a spherical polyhedron, forming
junctions at its vertices. It is explained why only a small restricted class of
polyhedra can arise as domain wall networks.
| [
{
"created": "Thu, 22 May 2003 08:15:51 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 2003 13:27:25 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Sutcliffe",
"Paul",
""
]
] | Domain wall networks on the surface of a soliton are studied in a simple theory. It consists of two complex scalar fields, in (3+1)-dimensions, with a global U(1) x Z_n symmetry, where n>2. Solutions are computed numerically in which one of the fields forms a Q-ball and the other field forms a network of domain walls localized on the surface of the Q-ball. Examples are presented in which the domain walls lie along the edges of a spherical polyhedron, forming junctions at its vertices. It is explained why only a small restricted class of polyhedra can arise as domain wall networks. |
hep-th/9503073 | Yoav Peleg | Joshua Feinberg (Department of Physics, The University of Texas at
Austin) and Yoav Peleg (Department of Physics, University of Wisconsin at
Milwaukee) | Self-Adjoint Wheeler-DeWitt Operators, the Problem of Time and the Wave
Function of the Universe | 31 pages, LATEX | Phys.Rev. D52 (1995) 1988-2000 | 10.1103/PhysRevD.52.1988 | UTTG-5-95, WISC-MILW-95-TH-12 | hep-th astro-ph gr-qc | null | We discuss minisuperspace aspects a non empty Robertson-Walker universe
containing scalar matter field. The requirement that the Wheeler-DeWitt (WDW)
operator be self adjoint is a key ingredient in constructing the physical
Hilbert space and has non-trivial cosmological implications since it is related
with the problem of time in quantum cosmology. Namely, if time is parametrized
by matter fields we find two types of domains for the self adjoint WDW
operator: a non trivial domain is comprised of zero current (Hartle-Hawking
type) wave functions and is parametrized by two new parameters, whereas the
domain of a self adjoint WDW operator acting on tunneling (Vilenkin type) wave
functions is a {\em single} ray. On the other hand, if time is parametrized by
the scale factor both types of wave functions give rise to non trivial domains
for the self adjoint WDW operators, and no new parameters appear in them.
| [
{
"created": "Fri, 10 Mar 1995 22:00:49 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Mar 1995 22:53:28 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Feinberg",
"Joshua",
"",
"Department of Physics, The University of Texas at\n Austin"
],
[
"Peleg",
"Yoav",
"",
"Department of Physics, University of Wisconsin at\n Milwaukee"
]
] | We discuss minisuperspace aspects a non empty Robertson-Walker universe containing scalar matter field. The requirement that the Wheeler-DeWitt (WDW) operator be self adjoint is a key ingredient in constructing the physical Hilbert space and has non-trivial cosmological implications since it is related with the problem of time in quantum cosmology. Namely, if time is parametrized by matter fields we find two types of domains for the self adjoint WDW operator: a non trivial domain is comprised of zero current (Hartle-Hawking type) wave functions and is parametrized by two new parameters, whereas the domain of a self adjoint WDW operator acting on tunneling (Vilenkin type) wave functions is a {\em single} ray. On the other hand, if time is parametrized by the scale factor both types of wave functions give rise to non trivial domains for the self adjoint WDW operators, and no new parameters appear in them. |
1204.3262 | Andrei Barvinsky | A. O. Barvinsky and D. V. Nesterov | Zero modes, gauge fixing, monodromies, $\zeta$-functions and all that | 17 pages, to appear in J. Phys. A: Math. Theor. arXiv admin note:
substantial text overlap with arXiv:1111.4474 | null | 10.1088/1751-8113/45/37/374001 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss various issues associated with the calculation of the reduced
functional determinant of a special second order differential operator
$\boldmath${F}$ =-d^2/d\tau^2+\ddot g/g$, $\ddot g\equiv d^2g/d\tau^2$, with a
generic function $g(\tau)$, subject to periodic and Dirichlet boundary
conditions. These issues include the gauge-fixed path integral representation
of this determinant, the monodromy method of its calculation and the
combination of the heat kernel and zeta-function technique for the derivation
of its period dependence. Motivations for this particular problem, coming from
applications in quantum cosmology, are also briefly discussed. They include the
problem of microcanonical initial conditions in cosmology driven by a conformal
field theory, cosmological constant and cosmic microwave background problems.
| [
{
"created": "Sun, 15 Apr 2012 12:19:50 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Barvinsky",
"A. O.",
""
],
[
"Nesterov",
"D. V.",
""
]
] | We discuss various issues associated with the calculation of the reduced functional determinant of a special second order differential operator $\boldmath${F}$ =-d^2/d\tau^2+\ddot g/g$, $\ddot g\equiv d^2g/d\tau^2$, with a generic function $g(\tau)$, subject to periodic and Dirichlet boundary conditions. These issues include the gauge-fixed path integral representation of this determinant, the monodromy method of its calculation and the combination of the heat kernel and zeta-function technique for the derivation of its period dependence. Motivations for this particular problem, coming from applications in quantum cosmology, are also briefly discussed. They include the problem of microcanonical initial conditions in cosmology driven by a conformal field theory, cosmological constant and cosmic microwave background problems. |
hep-th/9608074 | Bertrand Le Roy | Bertrand Le Roy | Z_n^3-graded colored supersymmetry | 8 pages, 2 eps figures | Czech.J.Phys. 47 (1997) 47 | 10.1023/A:1021491927893 | null | hep-th | null | We build generalizations of the Grassmann algebras from a few simple
assumptions which are that they are graded, maximally symmetric and contain an
ordinary Grassmann algebra as a subalgebra. These algebras are graded by
Z_{n}^{3} and display surprising properties that indicate their possible
application to the modelization of quark fields. We build the generalized
supersymmetry generators based on these algebras and their derivation
operators. These generators are cubic roots of the usual supersymmetry
generators.
| [
{
"created": "Mon, 12 Aug 1996 16:11:14 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Aug 1996 14:36:58 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Aug 1996 09:53:17 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Roy",
"Bertrand Le",
""
]
] | We build generalizations of the Grassmann algebras from a few simple assumptions which are that they are graded, maximally symmetric and contain an ordinary Grassmann algebra as a subalgebra. These algebras are graded by Z_{n}^{3} and display surprising properties that indicate their possible application to the modelization of quark fields. We build the generalized supersymmetry generators based on these algebras and their derivation operators. These generators are cubic roots of the usual supersymmetry generators. |
1904.12962 | George Zahariade | Jan Olle, Oriol Pujolas, Tanmay Vachaspati, George Zahariade | Quantum Evaporation of Classical Breathers | 8 pages, 10 figures. Published version | Phys. Rev. D 100, 045011 (2019) | 10.1103/PhysRevD.100.045011 | null | hep-th cond-mat.other hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the recently discovered classical-quantum correspondence (CQC) to
study the quantum evaporation of breathers in an extended sine-Gordon model. We
present numerical results for the decay rate of the breather as a function of
the coupling strength in the model. This is a complete treatment of the
backreaction of quantum radiation on the classical dynamics of oscillons.
| [
{
"created": "Mon, 29 Apr 2019 21:46:39 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Aug 2019 03:28:12 GMT",
"version": "v2"
}
] | 2019-08-28 | [
[
"Olle",
"Jan",
""
],
[
"Pujolas",
"Oriol",
""
],
[
"Vachaspati",
"Tanmay",
""
],
[
"Zahariade",
"George",
""
]
] | We apply the recently discovered classical-quantum correspondence (CQC) to study the quantum evaporation of breathers in an extended sine-Gordon model. We present numerical results for the decay rate of the breather as a function of the coupling strength in the model. This is a complete treatment of the backreaction of quantum radiation on the classical dynamics of oscillons. |
hep-th/9912226 | Peter West | O. Baerwald and P. West | Brane Rotating Symmetries and the Fivebrane Equations of Motion | 15 pages, latex | Phys.Lett. B476 (2000) 157-164 | 10.1016/S0370-2693(00)00107-6 | KCL-MTH-99-49 | hep-th | null | We show that the fully covariant equations of motion for the M-theory
fivebrane can be interpreted as charge conservation equations. The associated
charges induce `shift'-symmetries of the scalar, spinor and gauge-fields of the
fivebrane, so allowing an interpretation of all these fields as Goldstone
fields. We also find that the fivebrane possesses a new symmetry that is part
of the GL(32) automorphism group of the eleven dimensional supersymmetry
algebra.
| [
{
"created": "Wed, 22 Dec 1999 16:16:11 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Baerwald",
"O.",
""
],
[
"West",
"P.",
""
]
] | We show that the fully covariant equations of motion for the M-theory fivebrane can be interpreted as charge conservation equations. The associated charges induce `shift'-symmetries of the scalar, spinor and gauge-fields of the fivebrane, so allowing an interpretation of all these fields as Goldstone fields. We also find that the fivebrane possesses a new symmetry that is part of the GL(32) automorphism group of the eleven dimensional supersymmetry algebra. |
hep-th/9605135 | null | Alexander Gorsky | Peierls model and vacuum structure in N=2 supersymmetric gauge theories | 10 pages,Latex | Mod.Phys.Lett. A12 (1997) 719-727 | null | ITEP/TH-14/96 | hep-th | null | We suggest the quasiparticle picture behind the integrable structure of N=2
SYM theory,which arises if the Lax operator is considered as a Hamiltonian for
the fermionic system. We compare the meaning of BPS states with the one coming
from the D-brane interpretation and give some evidence for the compositeness of
the selfdual strings. The temperature phase transition with the disappearance
of the mass gap is conjectured.
| [
{
"created": "Mon, 20 May 1996 16:34:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gorsky",
"Alexander",
""
]
] | We suggest the quasiparticle picture behind the integrable structure of N=2 SYM theory,which arises if the Lax operator is considered as a Hamiltonian for the fermionic system. We compare the meaning of BPS states with the one coming from the D-brane interpretation and give some evidence for the compositeness of the selfdual strings. The temperature phase transition with the disappearance of the mass gap is conjectured. |
2001.09574 | Shuntaro Aoki | Yermek Aldabergenov, Shuntaro Aoki, and Sergei V. Ketov | Minimal Starobinsky supergravity coupled to dilaton-axion superfield | 24 pages, v2: references added. v3: Appendix C and some comments in
section5 added. The equation (35) has been amended | Phys. Rev. D 101, 075012 (2020) | 10.1103/PhysRevD.101.075012 | IPMU20-0007, WU-HEP-20-01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The minimal Starobinsky supergravity with the inflaton (scalaron) and the
goldstino in a massive vector supermultiplet is coupled to the dilaton-axion
chiral superfield with the no-scale K\"ahler potential and a superpotential.
The Kachru-Kallosh-Linde-Trivedi (KKLT)-type mechanism in the presence of a
constant term in the superpotential is applied to stabilize the dilaton/axion
during inflation, and it is shown to lead to an instability. The instability is
cured by adding the alternative Fayet-Iliopoulos (FI) term that does not lead
to the gauged $R$-symmetry. Other stabilization mechanisms, based on the
Wess-Zumino (WZ)-type superpotential, are also studied in the presence of the
FI term. A possible connection to a D3-brane is briefly discussed too.
| [
{
"created": "Mon, 27 Jan 2020 03:37:16 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 2020 10:19:01 GMT",
"version": "v2"
},
{
"created": "Sun, 8 Mar 2020 07:12:13 GMT",
"version": "v3"
}
] | 2020-04-10 | [
[
"Aldabergenov",
"Yermek",
""
],
[
"Aoki",
"Shuntaro",
""
],
[
"Ketov",
"Sergei V.",
""
]
] | The minimal Starobinsky supergravity with the inflaton (scalaron) and the goldstino in a massive vector supermultiplet is coupled to the dilaton-axion chiral superfield with the no-scale K\"ahler potential and a superpotential. The Kachru-Kallosh-Linde-Trivedi (KKLT)-type mechanism in the presence of a constant term in the superpotential is applied to stabilize the dilaton/axion during inflation, and it is shown to lead to an instability. The instability is cured by adding the alternative Fayet-Iliopoulos (FI) term that does not lead to the gauged $R$-symmetry. Other stabilization mechanisms, based on the Wess-Zumino (WZ)-type superpotential, are also studied in the presence of the FI term. A possible connection to a D3-brane is briefly discussed too. |
hep-th/0212231 | Changhyun Ahn | Changhyun Ahn and Soonkeon Nam | Supersymmetric SO(N_c) Gauge Theory and Matrix Model | 9 pp:v2 Kept N_c for gauge theory and N for matrix model and modified
the measure of matrix integral with the footnote and to appear in PLB | Phys.Lett. B562 (2003) 141-146 | 10.1016/S0370-2693(03)00554-9 | null | hep-th | null | By applying the method of Dijkgraaf-Vafa, we study matrix model related to
supersymmetric SO(N_c) gauge theory with N_f flavors of quarks in the vector
representation found by Intriligator-Seiberg. By performing the matrix integral
over tree level superpotential characterized by light meson fields (mass
deformation) in electric theory, we reproduce the exact effective
superpotential in the gauge theory side. Moreover, we do similar analysis in
magnetic theory. It turns out the matrix descriptions of both electric and
magnetic theories are the same: Seiberg duality in the gauge theory side.
| [
{
"created": "Thu, 19 Dec 2002 04:59:50 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 2003 03:43:19 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Ahn",
"Changhyun",
""
],
[
"Nam",
"Soonkeon",
""
]
] | By applying the method of Dijkgraaf-Vafa, we study matrix model related to supersymmetric SO(N_c) gauge theory with N_f flavors of quarks in the vector representation found by Intriligator-Seiberg. By performing the matrix integral over tree level superpotential characterized by light meson fields (mass deformation) in electric theory, we reproduce the exact effective superpotential in the gauge theory side. Moreover, we do similar analysis in magnetic theory. It turns out the matrix descriptions of both electric and magnetic theories are the same: Seiberg duality in the gauge theory side. |
0803.1988 | Freddy Cachazo | Freddy Cachazo | Sharpening The Leading Singularity | 34 pages, 14 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how studying leading singularities of Feynman diagrams, when all
momenta are complex, gives a simple way of writing multi-loop and
multi-particle scattering amplitudes in N=4 super Yang-Mills. The simplicity of
the method is equivalent to that of the quadruple cut technique introduced in
hep-th/0412103 at one-loop. The new technique only involves the computation of
residues and the solution of linear equations. In our technique both parity
even and parity odd pieces of a coefficient are computed simultaneously and it
is only at the end that a separation can be made if desired. We explain the
procedure via examples. The main example, which we compute in detail, is the
five-particle two-loop amplitude first given in hep-th/0604074. Another feature
of our method is that the helicity structure of the amplitude only enters in
the inhomogeneous part of the linear equations. In other words, the homogeneous
part is universal. We illustrate this feature by presenting the linear
equations which determine a large class of terms for MHV and next-to-MHV
six-particle two-loop amplitudes.
| [
{
"created": "Thu, 13 Mar 2008 15:08:15 GMT",
"version": "v1"
}
] | 2008-03-14 | [
[
"Cachazo",
"Freddy",
""
]
] | We show how studying leading singularities of Feynman diagrams, when all momenta are complex, gives a simple way of writing multi-loop and multi-particle scattering amplitudes in N=4 super Yang-Mills. The simplicity of the method is equivalent to that of the quadruple cut technique introduced in hep-th/0412103 at one-loop. The new technique only involves the computation of residues and the solution of linear equations. In our technique both parity even and parity odd pieces of a coefficient are computed simultaneously and it is only at the end that a separation can be made if desired. We explain the procedure via examples. The main example, which we compute in detail, is the five-particle two-loop amplitude first given in hep-th/0604074. Another feature of our method is that the helicity structure of the amplitude only enters in the inhomogeneous part of the linear equations. In other words, the homogeneous part is universal. We illustrate this feature by presenting the linear equations which determine a large class of terms for MHV and next-to-MHV six-particle two-loop amplitudes. |
1012.1864 | Oliver DeWolfe | Oliver DeWolfe, Steven S. Gubser and Christopher Rosen | A holographic critical point | 38 pages, 12 figures, LaTeX. v2: Typos corrected, references added | Phys.Rev.D83:086005,2011 | 10.1103/PhysRevD.83.086005 | COLO-HEP-559, PUPT-2360 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically construct a family of five-dimensional black holes exhibiting
a line of first-order phase transitions terminating at a critical point at
finite chemical potential and temperature. These black holes are constructed so
that the equation of state and baryon susceptibilities approximately match QCD
lattice data at vanishing chemical potential. The critical endpoint in the
particular model we consider has temperature 143 MeV and chemical potential 783
MeV. Critical exponents are calculated, with results that are consistent with
mean-field scaling relations.
| [
{
"created": "Wed, 8 Dec 2010 21:04:33 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Dec 2010 19:58:57 GMT",
"version": "v2"
}
] | 2011-04-22 | [
[
"DeWolfe",
"Oliver",
""
],
[
"Gubser",
"Steven S.",
""
],
[
"Rosen",
"Christopher",
""
]
] | We numerically construct a family of five-dimensional black holes exhibiting a line of first-order phase transitions terminating at a critical point at finite chemical potential and temperature. These black holes are constructed so that the equation of state and baryon susceptibilities approximately match QCD lattice data at vanishing chemical potential. The critical endpoint in the particular model we consider has temperature 143 MeV and chemical potential 783 MeV. Critical exponents are calculated, with results that are consistent with mean-field scaling relations. |
1108.1798 | Martin Ammon | Martin Ammon, Johanna Erdmenger, Shu Lin, Steffen Muller, Andy
O'Bannon, and Jonathan P. Shock | On Stability and Transport of Cold Holographic Matter | 40 pages, 7 figures | Journal of High Energy Physics Volume 2011, Number 9 (2011), 30 | 10.1007/JHEP09(2011)030 | DAMTP-2011-60, MPP-2011-96 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use gauge-gravity duality to study the stability of zero-temperature,
finite baryon density states of N=4 supersymmetric SU(Nc) Yang-Mills theory
coupled to a single massive fundamental-representation N=2 hypermultiplet in
the large-Nc and large-coupling limits. In particular, we study the spectrum of
mesons. The dual description is a probe D7-brane in anti-de Sitter space with a
particular configuration of worldvolume fields. The meson spectrum is dual to
the spectrum of fluctuations of worldvolume fields about that configuration. We
use a combination of analytical and numerical techniques to compute the
spectrum, including a special numerical technique designed to deal with
singular points in the fluctuations' equations of motion. Despite
circumstantial evidence that the system might be unstable, such as a finite
entropy density at zero temperature and the existence of instabilities in
similar theories, we find no evidence of any instabilities, at least for the
ranges of frequency and momenta that we consider. We discover a pole on the
imaginary frequency axis in a scalar meson two-point function, similar to the
diffusive mode in the two-point function of a conserved charge.
| [
{
"created": "Mon, 8 Aug 2011 20:00:07 GMT",
"version": "v1"
}
] | 2012-10-09 | [
[
"Ammon",
"Martin",
""
],
[
"Erdmenger",
"Johanna",
""
],
[
"Lin",
"Shu",
""
],
[
"Muller",
"Steffen",
""
],
[
"O'Bannon",
"Andy",
""
],
[
"Shock",
"Jonathan P.",
""
]
] | We use gauge-gravity duality to study the stability of zero-temperature, finite baryon density states of N=4 supersymmetric SU(Nc) Yang-Mills theory coupled to a single massive fundamental-representation N=2 hypermultiplet in the large-Nc and large-coupling limits. In particular, we study the spectrum of mesons. The dual description is a probe D7-brane in anti-de Sitter space with a particular configuration of worldvolume fields. The meson spectrum is dual to the spectrum of fluctuations of worldvolume fields about that configuration. We use a combination of analytical and numerical techniques to compute the spectrum, including a special numerical technique designed to deal with singular points in the fluctuations' equations of motion. Despite circumstantial evidence that the system might be unstable, such as a finite entropy density at zero temperature and the existence of instabilities in similar theories, we find no evidence of any instabilities, at least for the ranges of frequency and momenta that we consider. We discover a pole on the imaginary frequency axis in a scalar meson two-point function, similar to the diffusive mode in the two-point function of a conserved charge. |
1706.05665 | Ryutaro Matsudo | Ryutaro Matsudo and Kei-Ichi Kondo | Double-winding Wilson loops in the $SU(N)$ Yang-Mills theory | 15 pages, 2 figures | Phys. Rev. D 96, 105011 (2017) | 10.1103/PhysRevD.96.105011 | CHIBA-EP-223, 2017 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider double-winding, triple-winding and multiple-winding Wilson loops
in the $SU(N)$ Yang-Mills gauge theory. We examine how the area law falloff of
the vacuum expectation value of a multiple-winding Wilson loop depends on the
number of color $N$. In sharp contrast to the difference-of-areas law recently
found for a double-winding $SU(2)$ Wilson loop average, we show irrespective of
the spacetime dimensionality that a double-winding $SU(3)$ Wilson loop follows
a novel area law which is neither difference-of-areas nor sum-of-areas law for
the area law falloff and that the difference-of-areas law is excluded and the
sum-of-areas law is allowed for $SU(N)$ ($N \ge 4$), provided that the string
tension obeys the Casimir scaling for the higher representations. Moreover, we
extend these results to arbitrary multi-winding Wilson loops. Finally, we argue
that the area law follows a novel law, which is neither sum-of-areas nor
difference-of-areas law when $N\ge 3$. In fact, such a behavior is exactly
derived in the $SU(N)$ Yang-Mills theory in the two-dimensional spacetime.
| [
{
"created": "Sun, 18 Jun 2017 14:55:02 GMT",
"version": "v1"
}
] | 2017-11-22 | [
[
"Matsudo",
"Ryutaro",
""
],
[
"Kondo",
"Kei-Ichi",
""
]
] | We consider double-winding, triple-winding and multiple-winding Wilson loops in the $SU(N)$ Yang-Mills gauge theory. We examine how the area law falloff of the vacuum expectation value of a multiple-winding Wilson loop depends on the number of color $N$. In sharp contrast to the difference-of-areas law recently found for a double-winding $SU(2)$ Wilson loop average, we show irrespective of the spacetime dimensionality that a double-winding $SU(3)$ Wilson loop follows a novel area law which is neither difference-of-areas nor sum-of-areas law for the area law falloff and that the difference-of-areas law is excluded and the sum-of-areas law is allowed for $SU(N)$ ($N \ge 4$), provided that the string tension obeys the Casimir scaling for the higher representations. Moreover, we extend these results to arbitrary multi-winding Wilson loops. Finally, we argue that the area law follows a novel law, which is neither sum-of-areas nor difference-of-areas law when $N\ge 3$. In fact, such a behavior is exactly derived in the $SU(N)$ Yang-Mills theory in the two-dimensional spacetime. |
hep-th/9710007 | Martin Cederwall | Martin Cederwall, Anders Westerberg | World-volume fields, SL(2;Z) and duality: The type IIB 3-brane | 13 pp., plain tex | JHEP 9802 (1998) 004 | 10.1088/1126-6708/1998/02/004 | Goteborg-ITP-97-14, DAMTP-97-107 | hep-th | null | We propose a method for constructing super-brane actions where every
background tensor potential corresponds to a world-volume field strength. The
procedure provides a natural coupling to the background and automatically
displays the SL(2;Z) symmetry of the IIB string theory. The Dirichlet 3-brane
is used as a test ground for these ideas. A polynomial action consistent with
non-linear self-duality is presented. Invariance of the action under
kappa-symmetry is demonstrated for arbitrary on-shell type IIB supergravity
backgrounds and is shown to require self-duality.
| [
{
"created": "Wed, 1 Oct 1997 20:49:00 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Cederwall",
"Martin",
""
],
[
"Westerberg",
"Anders",
""
]
] | We propose a method for constructing super-brane actions where every background tensor potential corresponds to a world-volume field strength. The procedure provides a natural coupling to the background and automatically displays the SL(2;Z) symmetry of the IIB string theory. The Dirichlet 3-brane is used as a test ground for these ideas. A polynomial action consistent with non-linear self-duality is presented. Invariance of the action under kappa-symmetry is demonstrated for arbitrary on-shell type IIB supergravity backgrounds and is shown to require self-duality. |
2112.09531 | Matteo Sacchi | Emanuele Beratto and Noppadol Mekareeya and Matteo Sacchi | Zero-form and one-form symmetries of the ABJ and related theories | 46 pages; v2: comments added | null | 10.1007/JHEP04(2022)126 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The zero-form and one-form global symmetries of the Aharony-Bergman-Jafferis
(ABJ) and related theories, with at least $\mathcal{N}=6$ supersymmetry in
three dimensions, are examined in detail. Starting from well-known dualities
between theories with orthogonal and symplectic gauge groups and those with
unitary gauge groups, we gauge their one-form symmetries or their subgroups and
obtain new dualities. One side of the latter involves theories with special
orthogonal and symplectic gauge groups, and the other side involves theories
with unitary gauge groups; there is a discrete quotient on one or both sides of
the duality. We study the refined superconformal indices of such theories and
map the symmetries across the dualities, with particular attention to their
discrete part. As a generalisation, we also find a new duality between a
circular quiver with a discrete quotient of alternating special orthogonal and
symplectic gauge groups and a three-dimensional $\mathcal{N}=4$ circular
(Kronheimer-Nakajima) quiver with unitary gauge groups, whose Higgs or Coulomb
branch describes an instanton on a singular orbifold.
| [
{
"created": "Fri, 17 Dec 2021 14:30:46 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jan 2022 15:15:22 GMT",
"version": "v2"
}
] | 2022-05-11 | [
[
"Beratto",
"Emanuele",
""
],
[
"Mekareeya",
"Noppadol",
""
],
[
"Sacchi",
"Matteo",
""
]
] | The zero-form and one-form global symmetries of the Aharony-Bergman-Jafferis (ABJ) and related theories, with at least $\mathcal{N}=6$ supersymmetry in three dimensions, are examined in detail. Starting from well-known dualities between theories with orthogonal and symplectic gauge groups and those with unitary gauge groups, we gauge their one-form symmetries or their subgroups and obtain new dualities. One side of the latter involves theories with special orthogonal and symplectic gauge groups, and the other side involves theories with unitary gauge groups; there is a discrete quotient on one or both sides of the duality. We study the refined superconformal indices of such theories and map the symmetries across the dualities, with particular attention to their discrete part. As a generalisation, we also find a new duality between a circular quiver with a discrete quotient of alternating special orthogonal and symplectic gauge groups and a three-dimensional $\mathcal{N}=4$ circular (Kronheimer-Nakajima) quiver with unitary gauge groups, whose Higgs or Coulomb branch describes an instanton on a singular orbifold. |
1811.11942 | Mikhail Plyushchay | Mikhail S. Plyushchay | Nonlinear supersymmetry as a hidden symmetry | 27 pages, published in: "Integrability, Supersymmetry and Coherent
States", A volume in honour of Professor V\'eronique Hussin. S. Kuru, J.
Negro and L.M. Nieto (Eds.), Special volume of the CRM Series in Mathematical
Physics (Berlin: Springer, 2019) | Integrability, Supersymmetry and Coherent States. \c{S}. Kuru, J.
Negro and L.M. Nieto (eds). CRM Series in Mathematical Physics. Springer,
Cham (2019) 163-186 | 10.1007/978-3-030-20087-9_6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinear supersymmetry is characterized by supercharges to be higher order
in bosonic momenta of a system, and thus has a nature of a hidden symmetry. We
review some aspects of nonlinear supersymmetry and related to it exotic
supersymmetry and nonlinear superconformal symmetry. Examples of
reflectionless, finite-gap and perfectly invisible PT-symmetric zero-gap
systems, as well as rational deformations of the quantum harmonic oscillator
and conformal mechanics, are considered, in which such symmetries are realized.
| [
{
"created": "Thu, 29 Nov 2018 03:28:00 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Feb 2019 18:07:42 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Aug 2019 04:18:53 GMT",
"version": "v3"
}
] | 2019-08-23 | [
[
"Plyushchay",
"Mikhail S.",
""
]
] | Nonlinear supersymmetry is characterized by supercharges to be higher order in bosonic momenta of a system, and thus has a nature of a hidden symmetry. We review some aspects of nonlinear supersymmetry and related to it exotic supersymmetry and nonlinear superconformal symmetry. Examples of reflectionless, finite-gap and perfectly invisible PT-symmetric zero-gap systems, as well as rational deformations of the quantum harmonic oscillator and conformal mechanics, are considered, in which such symmetries are realized. |
1005.5007 | Sergey Yu. Vernov | Sergey Yu. Vernov | Exact Solutions for Nonlocal Nonlinear Field Equations in Cosmology | 14 pages, v2: Section 5 added, accepted for publication in Theor.
Math. Phys | Theor.Math.Phys.166:392-402,2011 | 10.1007/s11232-011-0031-0 | null | hep-th astro-ph.CO gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A method for the search of exact solutions for equation of a nonlocal scalar
field in a non-flat metric is considered. In the Friedmann-Robertson-Walker
metric the proposed method can be used in the case of an arbitrary potential,
with the exception of linear and quadratic potentials, and allows to get in
quadratures solutions, which depend on two arbitrary parameters. Exact
solutions have been found for an arbitrary cubic potential, which consideration
is motivated by the string field theory, as well as for exponential,
logarithmic and power potentials. It has been shown that one can add the
k-essence field to the model to get exact solutions for all Einstein equations.
| [
{
"created": "Thu, 27 May 2010 09:11:29 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2011 17:11:34 GMT",
"version": "v2"
}
] | 2011-04-22 | [
[
"Vernov",
"Sergey Yu.",
""
]
] | A method for the search of exact solutions for equation of a nonlocal scalar field in a non-flat metric is considered. In the Friedmann-Robertson-Walker metric the proposed method can be used in the case of an arbitrary potential, with the exception of linear and quadratic potentials, and allows to get in quadratures solutions, which depend on two arbitrary parameters. Exact solutions have been found for an arbitrary cubic potential, which consideration is motivated by the string field theory, as well as for exponential, logarithmic and power potentials. It has been shown that one can add the k-essence field to the model to get exact solutions for all Einstein equations. |
hep-th/9110019 | null | Andrea Cappelli, conference proceedings | Classical Dynamics of Point Particles in 2+1 Gravity | 16 pages, 4 figures not included, (replaced version with correct
macros) Talk presented at the Workshop on Random Surfaces and 2-D Quantum
Gravity, June 1991, Barcelona, to appear in Nucl. Phys. B (Proc. Suppl.),
J.Ambjorn et al. eds | Nucl. Phys. Proc. Suppl. A25 (1992) 54 | 10.1016/S0920-5632(05)80007-6 | preprint CERN-TH-6249/91 | hep-th | null | The relation between Einstein gravity and the Chern-Simons gauge theory of
the Poincare' group is discussed at the classical level.
| [
{
"created": "Mon, 7 Oct 1991 10:35:20 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Oct 1991 15:26:22 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Cappelli",
"Andrea",
""
],
[
"proceedings",
"conference",
""
]
] | The relation between Einstein gravity and the Chern-Simons gauge theory of the Poincare' group is discussed at the classical level. |
1701.03501 | Alessandro Sfondrini | Marco Baggio, Olof Ohlsson Sax, Alessandro Sfondrini, Bogdan Stefanski
and Alessandro Torrielli | Protected string spectrum in AdS3/CFT2 from worldsheet integrability | 37 pages; v2: 40 pages, discussion of wrapping effects added (section
8), as accepted by JHEP | null | 10.1007/JHEP04(2017)091 | NORDITA-2017-5, DMUS-MP-17/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the protected closed-string spectra of AdS3/CFT2 dual pairs with 16
supercharges at arbitrary values of the string tension and of the three-form
fluxes. These follow immediately from the all-loop Bethe equations for the
spectra of the integrable worldsheet theories. Further, representing the
underlying integrable systems as spin chains, we find that their dynamics
involves length-changing interactions and that protected states correspond to
gapless excitations above the Berenstein-Maldacena-Nastase vacuum. In the case
of AdS3 x S3 x T4 the degeneracies of such operators precisely match those of
the dual CFT2 and the supergravity spectrum. On the other hand, we find that
for AdS3 x S3 x S3 x S1 there are fewer protected states than previous
supergravity calculations had suggested. In particular, protected states have
the same su(2) charge with respect to the two three-spheres.
| [
{
"created": "Thu, 12 Jan 2017 20:49:27 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Apr 2017 14:49:11 GMT",
"version": "v2"
}
] | 2017-05-24 | [
[
"Baggio",
"Marco",
""
],
[
"Sax",
"Olof Ohlsson",
""
],
[
"Sfondrini",
"Alessandro",
""
],
[
"Stefanski",
"Bogdan",
""
],
[
"Torrielli",
"Alessandro",
""
]
] | We derive the protected closed-string spectra of AdS3/CFT2 dual pairs with 16 supercharges at arbitrary values of the string tension and of the three-form fluxes. These follow immediately from the all-loop Bethe equations for the spectra of the integrable worldsheet theories. Further, representing the underlying integrable systems as spin chains, we find that their dynamics involves length-changing interactions and that protected states correspond to gapless excitations above the Berenstein-Maldacena-Nastase vacuum. In the case of AdS3 x S3 x T4 the degeneracies of such operators precisely match those of the dual CFT2 and the supergravity spectrum. On the other hand, we find that for AdS3 x S3 x S3 x S1 there are fewer protected states than previous supergravity calculations had suggested. In particular, protected states have the same su(2) charge with respect to the two three-spheres. |
hep-th/9411148 | Paul Demkin | Paul Demkin | Some properties of the linearized model of the (super)$p$-brane | 18 pages, LaTeX, UUITP 11/94 | Phys.Scripta 53:133-138,1996 | 10.1088/0031-8949/53/2/002 | null | hep-th | null | Some general properties of the relativistic $p$-dimensional surface imbedded
into $D$-dimensional spacetime and its reduction to the sim\-plest case of the
quadratic Lagrangian (the linearized model) are considered. The solutions of
the equations of motion of the linearized model for the $p$-brane with
arbitrary topology and massless eigenstates, as well as with critical dimension
after quantization are presented. Some generalizations for the supermembrane
are discussed.
| [
{
"created": "Sun, 20 Nov 1994 15:25:10 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Demkin",
"Paul",
""
]
] | Some general properties of the relativistic $p$-dimensional surface imbedded into $D$-dimensional spacetime and its reduction to the sim\-plest case of the quadratic Lagrangian (the linearized model) are considered. The solutions of the equations of motion of the linearized model for the $p$-brane with arbitrary topology and massless eigenstates, as well as with critical dimension after quantization are presented. Some generalizations for the supermembrane are discussed. |
hep-th/9810074 | Constantin Rasinariu | A. Gangopadhyaya, J. V. Mallow, C. Rasinariu and U. P. Sukhatme | Exactly solvable models of supersymmetric quantum mechanics and
connection to spectrum generating algebra | 12 pages, 2 figures | null | 10.1007/BF02557323 | UICHEP-TH/98-11 | hep-th | null | For nonrelativistic Hamiltonians which are shape invariant, analytic
expressions for the eigenvalues and eigenvectors can be derived using the well
known method of supersymmetric quantum mechanics. Most of these Hamiltonians
also possess spectrum generating algebras and are hence solvable by an
independent group theoretic method. In this paper, we demonstrate the
equivalence of the two methods of solution by developing an algebraic framework
for shape invariant Hamiltonians with a general change of parameters, which
involves nonlinear extensions of Lie algebras.
| [
{
"created": "Mon, 12 Oct 1998 22:22:38 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Gangopadhyaya",
"A.",
""
],
[
"Mallow",
"J. V.",
""
],
[
"Rasinariu",
"C.",
""
],
[
"Sukhatme",
"U. P.",
""
]
] | For nonrelativistic Hamiltonians which are shape invariant, analytic expressions for the eigenvalues and eigenvectors can be derived using the well known method of supersymmetric quantum mechanics. Most of these Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent group theoretic method. In this paper, we demonstrate the equivalence of the two methods of solution by developing an algebraic framework for shape invariant Hamiltonians with a general change of parameters, which involves nonlinear extensions of Lie algebras. |
2101.02513 | Harvendra Singh | Harvendra Singh | Holography and quantum information exchange between systems | 20 pp, 8 figures; V2: major corrections/changes in Section-3, a new
figure. conclusion unchanged. typos corrected | null | 10.1142/S0217751X21502183 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We estimate the net information exchange between adjacent quantum subsystems
holographically living on the boundary of $AdS$ spacetime. The information
exchange is a real time phenomenon and only after long time interval it may get
saturated. Normally we prepare systems for small time intervals and measure the
information exchange over finite interval only. We find that the information
flow between entangled subsystems gets reduced if systems are in excited state
whereas the ground state allows maximum information flow at any given time.
Especially for $CFT_2$ we exactly show that a rise in the entropy is
detrimental to the information exchange by a quantum dot and vice-versa. We
next observe that there is a reduction in circuit (CV) complexity too in the
presence of excitations for small times.
| [
{
"created": "Thu, 7 Jan 2021 12:25:01 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2021 12:18:22 GMT",
"version": "v2"
}
] | 2022-01-05 | [
[
"Singh",
"Harvendra",
""
]
] | We estimate the net information exchange between adjacent quantum subsystems holographically living on the boundary of $AdS$ spacetime. The information exchange is a real time phenomenon and only after long time interval it may get saturated. Normally we prepare systems for small time intervals and measure the information exchange over finite interval only. We find that the information flow between entangled subsystems gets reduced if systems are in excited state whereas the ground state allows maximum information flow at any given time. Especially for $CFT_2$ we exactly show that a rise in the entropy is detrimental to the information exchange by a quantum dot and vice-versa. We next observe that there is a reduction in circuit (CV) complexity too in the presence of excitations for small times. |
2103.14850 | Eugenio Megias | Juan L. Ma\~nes, Eugenio Megias, Manuel Valle, Miguel A. Vazquez-Mozo | Constitutive relations of a chiral hadronic fluid | 15 pages. Talk given by E.Megias at the 9th International Conference
on New Frontiers in Physics (ICNFP 2020), 4 Sep - 2 Oct 2020, Kolymbari,
Crete, Greece | null | 10.1142/S0217751X22400097 | null | hep-th cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the role of non-abelian anomalies in relativistic fluids. To this
end, we compute the local functional that solves the anomaly equations, and
obtain analytical expressions for the covariant currents and the Bardeen-Zumino
terms. We particularize these results to a background with two flavors, and
consider the cases of unbroken and broken chiral symmetry. Finally, we provide
explicit results for the constitutive relations of chiral nuclear matter
interacting with external electromagnetic fields and in presence of chiral
imbalance. We emphasize the non-dissipative nature of the chiral electric
effect.
| [
{
"created": "Sat, 27 Mar 2021 09:23:27 GMT",
"version": "v1"
}
] | 2022-05-11 | [
[
"Mañes",
"Juan L.",
""
],
[
"Megias",
"Eugenio",
""
],
[
"Valle",
"Manuel",
""
],
[
"Vazquez-Mozo",
"Miguel A.",
""
]
] | We study the role of non-abelian anomalies in relativistic fluids. To this end, we compute the local functional that solves the anomaly equations, and obtain analytical expressions for the covariant currents and the Bardeen-Zumino terms. We particularize these results to a background with two flavors, and consider the cases of unbroken and broken chiral symmetry. Finally, we provide explicit results for the constitutive relations of chiral nuclear matter interacting with external electromagnetic fields and in presence of chiral imbalance. We emphasize the non-dissipative nature of the chiral electric effect. |
0906.0595 | Daniel Green | Daniel Green and Timo Weigand | Retrofitting and the mu Problem | 26 pages, 2 figures | null | null | SU-ITP-09/23, SLAC-PUB-13655 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One of the challenges of supersymmetry (SUSY) breaking and mediation is
generating a mu term consistent with the requirements of electro-weak symmetry
breaking. The most common approach to the problem is to generate the mu term
through a SUSY breaking F-term. Often these models produce unacceptably large B
mu terms as a result. We will present an alternate approach, where the mu term
is generated directly by non-perturtative effects. The same non-perturbative
effect will also retrofit the model of SUSY breaking in such a way that mu is
at the same scale as masses of the Standard Model superpartners. Because the mu
term is not directly generated by SUSY breaking effects, there is no associated
B mu problem. These results are demonstrated in a toy model where a stringy
instanton generates mu.
| [
{
"created": "Tue, 2 Jun 2009 20:22:29 GMT",
"version": "v1"
}
] | 2009-06-04 | [
[
"Green",
"Daniel",
""
],
[
"Weigand",
"Timo",
""
]
] | One of the challenges of supersymmetry (SUSY) breaking and mediation is generating a mu term consistent with the requirements of electro-weak symmetry breaking. The most common approach to the problem is to generate the mu term through a SUSY breaking F-term. Often these models produce unacceptably large B mu terms as a result. We will present an alternate approach, where the mu term is generated directly by non-perturtative effects. The same non-perturbative effect will also retrofit the model of SUSY breaking in such a way that mu is at the same scale as masses of the Standard Model superpartners. Because the mu term is not directly generated by SUSY breaking effects, there is no associated B mu problem. These results are demonstrated in a toy model where a stringy instanton generates mu. |
1911.09585 | Subramanya Hegde | Subramanya Hegde and Bindusar Sahoo | New higher derivative action for tensor multiplet in N=2 conformal
supergravity in four dimensions | 31 pages, References updated. Minor typos corrected | null | 10.1007/JHEP01(2020)070 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We will use the covariant superform approach to develop a new density formula
for $\mathcal{N}=2$ conformal supergravity which is based on a fermionic
multiplet whose lowest component is a dimension-5/2 spinor. We will show that
this density formula admits an embedding of the real scalar multiplet of
[arXiv:1712.02309]. Upon using the embedding of the tensor multiplet into the
real scalar multiplet, we will construct a new higher derivative action of the
tensor multiplet in $\mathcal{N}=2$ conformal supergravity.
| [
{
"created": "Thu, 21 Nov 2019 16:25:23 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Dec 2019 11:14:43 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Dec 2019 09:13:53 GMT",
"version": "v3"
}
] | 2020-01-29 | [
[
"Hegde",
"Subramanya",
""
],
[
"Sahoo",
"Bindusar",
""
]
] | We will use the covariant superform approach to develop a new density formula for $\mathcal{N}=2$ conformal supergravity which is based on a fermionic multiplet whose lowest component is a dimension-5/2 spinor. We will show that this density formula admits an embedding of the real scalar multiplet of [arXiv:1712.02309]. Upon using the embedding of the tensor multiplet into the real scalar multiplet, we will construct a new higher derivative action of the tensor multiplet in $\mathcal{N}=2$ conformal supergravity. |
2011.09250 | Ioannis Tsiares Mr | Ioannis Tsiares | Universal Dynamics in Non-Orientable CFT$_2$ | 27 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two-dimensional conformal field theories (CFTs) defined on non-orientable
Riemann surfaces obey consistency Cardy conditions analogous to those in the
orientable case. We revisit those conditions for irrational theories with
central charge $c>1$ in the context of two-point functions of primaries on the
Real Projective plane $\mathbb{RP}^2$ and the partition function on the Klein
bottle $\mathbb{K}^2$. Using the irrational versions of the Virasoro fusion and
modular kernels we derive universal expressions for the non-orientable CFT data
at large conformal dimension, assuming a gap in the spectrum of scalar
primaries. In particular, we derive asymptotic formulas at finite central
charge for the averaged Light-Light-Heavy product $C_{LLH}\times\Gamma_{H}$ of
OPE coefficients with the $\mathbb{RP}^2$ one-point function normalizations, as
well as for the parity-weighted density of heavy scalar primaries (or
equivalently the density of heavy $\Gamma_H^2$). We discuss the gravitational
interpretation of the results.
| [
{
"created": "Wed, 18 Nov 2020 12:53:09 GMT",
"version": "v1"
}
] | 2020-11-19 | [
[
"Tsiares",
"Ioannis",
""
]
] | Two-dimensional conformal field theories (CFTs) defined on non-orientable Riemann surfaces obey consistency Cardy conditions analogous to those in the orientable case. We revisit those conditions for irrational theories with central charge $c>1$ in the context of two-point functions of primaries on the Real Projective plane $\mathbb{RP}^2$ and the partition function on the Klein bottle $\mathbb{K}^2$. Using the irrational versions of the Virasoro fusion and modular kernels we derive universal expressions for the non-orientable CFT data at large conformal dimension, assuming a gap in the spectrum of scalar primaries. In particular, we derive asymptotic formulas at finite central charge for the averaged Light-Light-Heavy product $C_{LLH}\times\Gamma_{H}$ of OPE coefficients with the $\mathbb{RP}^2$ one-point function normalizations, as well as for the parity-weighted density of heavy scalar primaries (or equivalently the density of heavy $\Gamma_H^2$). We discuss the gravitational interpretation of the results. |
1908.09848 | Oliver Schlotterer | Carlos R. Mafra and Oliver Schlotterer | All-order alpha'-expansion of one-loop open-string integrals | 6 pages, 2 figures, v2: added explanations, removed the appendix,
matches published version | Phys. Rev. Lett. 124, 101603 (2020) | 10.1103/PhysRevLett.124.101603 | UUITP--34/19 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new method to evaluate the $\alpha'$-expansion of genus-one
integrals over open-string punctures and unravel the structure of the elliptic
multiple zeta values in its coefficients. This is done by obtaining a simple
differential equation of Knizhnik-Zamolodchikov-Bernard-type satisfied by
generating functions of such integrals, and solving it via Picard iteration.
The initial condition involves the generating functions at the cusp $\tau\to
i\infty$ and can be reduced to genus-zero integrals.
| [
{
"created": "Mon, 26 Aug 2019 18:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Mar 2020 09:12:42 GMT",
"version": "v2"
}
] | 2020-03-18 | [
[
"Mafra",
"Carlos R.",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | We present a new method to evaluate the $\alpha'$-expansion of genus-one integrals over open-string punctures and unravel the structure of the elliptic multiple zeta values in its coefficients. This is done by obtaining a simple differential equation of Knizhnik-Zamolodchikov-Bernard-type satisfied by generating functions of such integrals, and solving it via Picard iteration. The initial condition involves the generating functions at the cusp $\tau\to i\infty$ and can be reduced to genus-zero integrals. |
1009.3528 | Erick Tuiran | M. Reuter and E. Tuiran | Quantum Gravity Effects in the Kerr Spacetime | 57 pages, 30 figures | Phys.Rev.D83:044041,2011 | 10.1103/PhysRevD.83.044041 | MZ-TH/10-32 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the impact of the leading quantum gravity effects on the
properties of black holes with nonzero angular momentum by performing a
suitable renormalization group improvement of the classical Kerr metric within
Quantum Einstein Gravity (QEG). In particular we explore the structure of the
horizons, the ergosphere, and the static limit surfaces as well as the phase
space avilable for the Penrose process. The positivity properties of the
effective vacuum energy momentum tensor are also discussed and the "dressing"
of the black hole's mass and angular momentum are investigated by computing the
corresponding Komar integrals. The pertinent Smarr formula turns out to retain
its classical form. As for their thermodynamical properties, a modified first
law of black hole thermodynamics is found to be satisfied by the improved black
holes (to second order in the angular momentum); the corresponding
Bekenstein-Hawking temperature is not proportional to the surface gravity.
| [
{
"created": "Sat, 18 Sep 2010 01:20:35 GMT",
"version": "v1"
}
] | 2011-03-23 | [
[
"Reuter",
"M.",
""
],
[
"Tuiran",
"E.",
""
]
] | We analyze the impact of the leading quantum gravity effects on the properties of black holes with nonzero angular momentum by performing a suitable renormalization group improvement of the classical Kerr metric within Quantum Einstein Gravity (QEG). In particular we explore the structure of the horizons, the ergosphere, and the static limit surfaces as well as the phase space avilable for the Penrose process. The positivity properties of the effective vacuum energy momentum tensor are also discussed and the "dressing" of the black hole's mass and angular momentum are investigated by computing the corresponding Komar integrals. The pertinent Smarr formula turns out to retain its classical form. As for their thermodynamical properties, a modified first law of black hole thermodynamics is found to be satisfied by the improved black holes (to second order in the angular momentum); the corresponding Bekenstein-Hawking temperature is not proportional to the surface gravity. |
1210.5334 | Pouria Pedram | Pouria Pedram | A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
II: Applications | 15 pages, 3 figures, second part of arXiv:1110.2999, to appear in
Physics Letters B | Phys. Lett. B 718 (2012) 638 | 10.1016/j.physletb.2012.10.059 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper, we presented a nonperturbative higher order generalized
uncertainty principle (GUP) that is consistent with various proposals of
quantum gravity such as string theory, loop quantum gravity, doubly special
relativity, and predicts both a minimal length uncertainty and a maximal
observable momentum. In this Letter, we find exact maximally localized states
and present a formally self-adjoint and naturally perturbative representation
of this modified algebra. Then we extend this GUP to D dimensions that will be
shown it is noncommutative and find invariant density of states. We show that
the presence of the maximal momentum results in upper bounds on the energy
spectrum of the free particle and the particle in box. Moreover, this form of
GUP modifies blackbody radiation spectrum at high frequencies and predicts a
finite cosmological constant. Although it does not solve the cosmological
constant problem, it gives a better estimation with respect to the presence of
just the minimal length.
| [
{
"created": "Fri, 19 Oct 2012 08:04:29 GMT",
"version": "v1"
}
] | 2012-11-26 | [
[
"Pedram",
"Pouria",
""
]
] | In a recent paper, we presented a nonperturbative higher order generalized uncertainty principle (GUP) that is consistent with various proposals of quantum gravity such as string theory, loop quantum gravity, doubly special relativity, and predicts both a minimal length uncertainty and a maximal observable momentum. In this Letter, we find exact maximally localized states and present a formally self-adjoint and naturally perturbative representation of this modified algebra. Then we extend this GUP to D dimensions that will be shown it is noncommutative and find invariant density of states. We show that the presence of the maximal momentum results in upper bounds on the energy spectrum of the free particle and the particle in box. Moreover, this form of GUP modifies blackbody radiation spectrum at high frequencies and predicts a finite cosmological constant. Although it does not solve the cosmological constant problem, it gives a better estimation with respect to the presence of just the minimal length. |
1809.04601 | Christian Friedrich Steinwachs | Michael S. Ruf, Christian F. Steinwachs | Quantum effective action for degenerate vector field theories | 6 pages, no figures; typos corrected, references added, accepted for
publication in Phys. Rev. D | Phys. Rev. D 98, 085014 (2018) | 10.1103/PhysRevD.98.085014 | FR-PHENO-2018-012 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the divergent part of the one-loop effective action in curved
spacetime for a particular class of second-order vector field operators with a
degenerate principal part. The principal symbol of these operators has the
structure of a longitudinal projector. In this case, standard heat-kernel
techniques are not directly applicable. We present a method which reduces the
problem to a nondegenerate scalar operator for which standard heat-kernel
techniques are available. Interestingly, this method leads to the
identification of an effective metric structure in the longitudinal sector. The
one-loop divergences are compactly expressed in terms of invariants constructed
from this metric.
| [
{
"created": "Wed, 12 Sep 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2018 09:08:56 GMT",
"version": "v2"
}
] | 2018-10-24 | [
[
"Ruf",
"Michael S.",
""
],
[
"Steinwachs",
"Christian F.",
""
]
] | We calculate the divergent part of the one-loop effective action in curved spacetime for a particular class of second-order vector field operators with a degenerate principal part. The principal symbol of these operators has the structure of a longitudinal projector. In this case, standard heat-kernel techniques are not directly applicable. We present a method which reduces the problem to a nondegenerate scalar operator for which standard heat-kernel techniques are available. Interestingly, this method leads to the identification of an effective metric structure in the longitudinal sector. The one-loop divergences are compactly expressed in terms of invariants constructed from this metric. |
0705.3947 | Hilmar Forkel | Hilmar Forkel | Gauge-invariant soft modes in Yang-Mills theory | 4 pages | Int.J.Mod.Phys.E16:2789-2793,2007 | 10.1142/S0218301307008410 | null | hep-th | null | A gauge-invariant saddle point expansion for the Yang-Mills vacuum transition
amplitude on the basis of the squeezed approximation to the vacuum wave
functional is outlined. This framework allows the identification of
gauge-invariant infrared degrees of freedom which arise as dominant sets of
gauge field orbits and provide the principal input for an essentially
analytical treatment of soft amplitudes. The analysis of the soft modes sheds
new light on how vacuum fields organize themselves into collective excitations
and yields a gauge-invariant representation of instanton and meron effects as
well as a new physical interpretation for Faddeev-Niemi knots.
| [
{
"created": "Sun, 27 May 2007 12:11:27 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Forkel",
"Hilmar",
""
]
] | A gauge-invariant saddle point expansion for the Yang-Mills vacuum transition amplitude on the basis of the squeezed approximation to the vacuum wave functional is outlined. This framework allows the identification of gauge-invariant infrared degrees of freedom which arise as dominant sets of gauge field orbits and provide the principal input for an essentially analytical treatment of soft amplitudes. The analysis of the soft modes sheds new light on how vacuum fields organize themselves into collective excitations and yields a gauge-invariant representation of instanton and meron effects as well as a new physical interpretation for Faddeev-Niemi knots. |
1405.0734 | Kazuya Yonekura | Kazuya Yonekura | Notes on natural inflation | 12 pages. v2: Published version | null | 10.1088/1475-7516/2014/10/054 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the so-called natural inflation, an axion-like inflaton is assumed to have
a cosine-type periodic potential. This is not the case in a very simple model
in which the axion-like inflaton is coupled to an SU(N) (or other) pure
Yang-Mills, at least in the large N limit as pointed out by Witten. It has a
multi-valued potential, which is effectively quadratic, i.e., there is only a
mass term in the large N limit. Thanks to this property, chaotic inflation can
be realized more naturally with the decay constant of the axion-like inflaton
less than the Planck scale. We demonstrate these points explicitly by using
softly broken ${\mathcal N}=1$ Super-Yang-Mills which allows us to treat finite
N. This analysis also suggests that moderately large gauge groups such as
$E_{8}$ are good enough with a Planck scale decay constant.
| [
{
"created": "Sun, 4 May 2014 19:50:41 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Oct 2014 19:40:31 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Yonekura",
"Kazuya",
""
]
] | In the so-called natural inflation, an axion-like inflaton is assumed to have a cosine-type periodic potential. This is not the case in a very simple model in which the axion-like inflaton is coupled to an SU(N) (or other) pure Yang-Mills, at least in the large N limit as pointed out by Witten. It has a multi-valued potential, which is effectively quadratic, i.e., there is only a mass term in the large N limit. Thanks to this property, chaotic inflation can be realized more naturally with the decay constant of the axion-like inflaton less than the Planck scale. We demonstrate these points explicitly by using softly broken ${\mathcal N}=1$ Super-Yang-Mills which allows us to treat finite N. This analysis also suggests that moderately large gauge groups such as $E_{8}$ are good enough with a Planck scale decay constant. |
2211.15056 | Ivan K. Kostov | Ivan Kostov | Light-cone limits of large rectangular fishnets | 24 pages, 5 figures, references added | null | 10.1007/JHEP03(2023)156 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Basso-Dixon integrals evaluate rectangular fishnets -- Feynman graphs with
massless scalar propagators which form a $m\times n$ rectangular grid -- which
arise in certain one-trace four-point correlators in the `fishnet' limit of
$\mathcal{N}=4$ SYM. Recently, Basso {\it et al} explored the thermodynamical
limit $m\to\infty$ with fixed aspect ratio $n/m$ of a rectangular fishnet and
showed that in general the dependence on the coordinates of the four operators
is erased, but it reappears in a scaling limit with two of the operators
getting close in a controlled way. In this note I investigate the most general
double scaling limit which describes the thermodynamics when one of two pairs
of operators become nearly light-like. In this double scaling limit, the
rectangular fishnet depends on both coordinate cross ratios. I show that all
singular limits of the fishnet can be attained within the double scaling limit,
including the null limit with the four points approaching the cusps of a null
square. A direct evaluation of the fishnet in the null limit is presented any
$m$ and $n$.
| [
{
"created": "Mon, 28 Nov 2022 04:24:39 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2022 13:43:52 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Jan 2023 11:18:29 GMT",
"version": "v3"
},
{
"created": "Wed, 8 Mar 2023 18:41:21 GMT",
"version": "v4"
},
{
"cre... | 2023-04-05 | [
[
"Kostov",
"Ivan",
""
]
] | Basso-Dixon integrals evaluate rectangular fishnets -- Feynman graphs with massless scalar propagators which form a $m\times n$ rectangular grid -- which arise in certain one-trace four-point correlators in the `fishnet' limit of $\mathcal{N}=4$ SYM. Recently, Basso {\it et al} explored the thermodynamical limit $m\to\infty$ with fixed aspect ratio $n/m$ of a rectangular fishnet and showed that in general the dependence on the coordinates of the four operators is erased, but it reappears in a scaling limit with two of the operators getting close in a controlled way. In this note I investigate the most general double scaling limit which describes the thermodynamics when one of two pairs of operators become nearly light-like. In this double scaling limit, the rectangular fishnet depends on both coordinate cross ratios. I show that all singular limits of the fishnet can be attained within the double scaling limit, including the null limit with the four points approaching the cusps of a null square. A direct evaluation of the fishnet in the null limit is presented any $m$ and $n$. |
hep-th/9501032 | Stephen Man Hoe Wong | S.M.H. Wong | Difficulties in Formulating an imaginary-time formalism of temporal
axial gauge at finite T | 18 pages (latex) + 1 page of figures appended at the end (tex, pictex
macro needed), no major change from the previous version except the title | Z. Phys. C 69 (1996) 663-671 | null | LPTHE-Orsay 94/114 | hep-th | null | Following the successful construction of the finite T real-time formalism in
temporal axial gauge, we attempt to further study the equivalent new
imaginary-time formalism of James and Landshoff based on the same Hamiltonian
approach in the hope that it will provide the answer to Debye screening in QCD.
It turns out that, unlike in the real-time case, energy conservation does not
hold because of the unusual representation of the longitudinal field forced
upon by the Hamiltonian formulation.
| [
{
"created": "Tue, 10 Jan 1995 17:11:38 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 1995 09:09:35 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Oct 1995 21:09:03 GMT",
"version": "v3"
}
] | 2009-09-25 | [
[
"Wong",
"S. M. H.",
""
]
] | Following the successful construction of the finite T real-time formalism in temporal axial gauge, we attempt to further study the equivalent new imaginary-time formalism of James and Landshoff based on the same Hamiltonian approach in the hope that it will provide the answer to Debye screening in QCD. It turns out that, unlike in the real-time case, energy conservation does not hold because of the unusual representation of the longitudinal field forced upon by the Hamiltonian formulation. |
hep-th/0610052 | Nandinii Barbosa-Cendejas | Nandinii Barbosa-Cendejas and Alfredo Herrera-Aguilar | Localizing gravity on thick branes: a solution for massive KK modes of
the Schroedinger equation | 8 pages in latex. We corrected signs in the field equations, the
expressions for the scalar field and the self-interacting potential. Due to
the fact that no changes are introduced in the warp factor, the physics of
the system remains the same | J.Phys.Conf.Ser.68:012021,2007 | 10.1088/1742-6596/68/1/012021 | null | hep-th | null | We generate scalar thick brane configurations in a 5D Riemannian space time
which describes gravity coupled to a self-interacting scalar field. We also
show that 4D gravity can be localized on a thick brane which does not
necessarily respect Z_2-symmetry, generalizing several previous models based on
the Randall-Sundrum system and avoiding the restriction to orbifold geometries
as well as the introduction of the branes in the action by hand. We begin by
obtaining a smooth brane configuration that preserves 4D Poincar'e invariance
and violates reflection symmetry along the fifth dimension. The extra dimension
can have either compact or extended topology, depending on the values of the
parameters of the solution. In the non-compact case, our field configuration
represents a thick brane with positive energy density centered at y=c_2,
whereas in the compact case we get pairs of thick branes. We recast as well the
wave equations of the transverse traceless modes of the linear fluctuations of
the classical solution into a Schroedinger's equation form with a volcano
potential of finite bottom. We solve Schroedinger equation for the massless
zero mode m^2=0 and obtain a single bound wave function which represents a
stable 4D graviton and is free of tachyonic modes with m^2<0. We also get a
continuum spectrum of Kaluza-Klein (KK) states with m^2>0 that are suppressed
at y=c_2 and turn asymptotically into plane waves. We found a particular case
in which the Schroedinger equation can be solved for all m^2>0, giving us the
opportunity of studying analytically the massive modes of the spectrum of KK
excitations, a rare fact when considering thick brane configurations.
| [
{
"created": "Wed, 4 Oct 2006 16:15:49 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jan 2008 04:34:20 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Barbosa-Cendejas",
"Nandinii",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
]
] | We generate scalar thick brane configurations in a 5D Riemannian space time which describes gravity coupled to a self-interacting scalar field. We also show that 4D gravity can be localized on a thick brane which does not necessarily respect Z_2-symmetry, generalizing several previous models based on the Randall-Sundrum system and avoiding the restriction to orbifold geometries as well as the introduction of the branes in the action by hand. We begin by obtaining a smooth brane configuration that preserves 4D Poincar'e invariance and violates reflection symmetry along the fifth dimension. The extra dimension can have either compact or extended topology, depending on the values of the parameters of the solution. In the non-compact case, our field configuration represents a thick brane with positive energy density centered at y=c_2, whereas in the compact case we get pairs of thick branes. We recast as well the wave equations of the transverse traceless modes of the linear fluctuations of the classical solution into a Schroedinger's equation form with a volcano potential of finite bottom. We solve Schroedinger equation for the massless zero mode m^2=0 and obtain a single bound wave function which represents a stable 4D graviton and is free of tachyonic modes with m^2<0. We also get a continuum spectrum of Kaluza-Klein (KK) states with m^2>0 that are suppressed at y=c_2 and turn asymptotically into plane waves. We found a particular case in which the Schroedinger equation can be solved for all m^2>0, giving us the opportunity of studying analytically the massive modes of the spectrum of KK excitations, a rare fact when considering thick brane configurations. |
hep-th/9502068 | Denis Uglov | D.Uglov and I.Ivanov | sl(N) Onsager's Algebra and Integrability | null | null | 10.1007/BF02189226 | ITP-SB-95-02 | hep-th | null | We define an $ sl(N) $ analog of Onsager's Algebra through a finite set of
relations that generalize the Dolan Grady defining relations for the original
Onsager's Algebra. This infinite-dimensional Lie Algebra is shown to be
isomorphic to a fixed point subalgebra of $ sl(N) $ Loop Algebra with respect
to a certain involution. As the consequence of the generalized Dolan Grady
relations a Hamiltonian linear in the generators of $ sl(N) $ Onsager's Algebra
is shown to posses an infinite number of mutually commuting integrals of
motion.
| [
{
"created": "Sun, 12 Feb 1995 17:22:43 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Uglov",
"D.",
""
],
[
"Ivanov",
"I.",
""
]
] | We define an $ sl(N) $ analog of Onsager's Algebra through a finite set of relations that generalize the Dolan Grady defining relations for the original Onsager's Algebra. This infinite-dimensional Lie Algebra is shown to be isomorphic to a fixed point subalgebra of $ sl(N) $ Loop Algebra with respect to a certain involution. As the consequence of the generalized Dolan Grady relations a Hamiltonian linear in the generators of $ sl(N) $ Onsager's Algebra is shown to posses an infinite number of mutually commuting integrals of motion. |
hep-th/0501075 | Jen-Chi Lee | Jen-Chi Lee | SO(2,C) Invariant Discrete Gauge States in Liouville Gravity Coupled to
Minimal Conformal Matter | null | Eur.Phys.J.C1:739-741,1998 | 10.1007/s100520050120 | null | hep-th | null | We contruct the general formula for a set of discrete gauge states (DGS) in
c<1 Liouville theory. This formula reproduces the previously found c=1 DGS in
the appropriate limiting case. We also demonstrate the SO(2,C) invariant
structure of these DGS in the old covariant quantization of the theory. This is
in analogy to the SO(2,C) invariant ring structure of BRST cohomology of the
theory.
| [
{
"created": "Tue, 11 Jan 2005 12:22:33 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jan 2005 16:35:41 GMT",
"version": "v2"
}
] | 2011-09-13 | [
[
"Lee",
"Jen-Chi",
""
]
] | We contruct the general formula for a set of discrete gauge states (DGS) in c<1 Liouville theory. This formula reproduces the previously found c=1 DGS in the appropriate limiting case. We also demonstrate the SO(2,C) invariant structure of these DGS in the old covariant quantization of the theory. This is in analogy to the SO(2,C) invariant ring structure of BRST cohomology of the theory. |
hep-th/0406026 | Ivan Avramidi | Ivan G. Avramidi | Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators | Version accepted by J. High Energy Phys. Introduction and Discussion
significantly expanded. References added and updated. (41 pages, LaTeX: JHEP3
class, no figures) | JHEP 0407 (2004) 030 | 10.1088/1126-6708/2004/07/030 | null | hep-th gr-qc math-ph math.AP math.MP | null | We construct invariant differential operators acting on sections of vector
bundles of densities over a smooth manifold without using a Riemannian metric.
The spectral invariants of such operators are invariant under both the
diffeomorphisms and the gauge transformations and can be used to induce a new
theory of gravitation. It can be viewed as a matrix generalization of Einstein
general relativity that reproduces the standard Einstein theory in the weak
deformation limit. Relations with various mathematical constructions such as
Finsler geometry and Hodge-de Rham theory are discussed.
| [
{
"created": "Wed, 2 Jun 2004 20:53:25 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jul 2004 13:53:30 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Avramidi",
"Ivan G.",
""
]
] | We construct invariant differential operators acting on sections of vector bundles of densities over a smooth manifold without using a Riemannian metric. The spectral invariants of such operators are invariant under both the diffeomorphisms and the gauge transformations and can be used to induce a new theory of gravitation. It can be viewed as a matrix generalization of Einstein general relativity that reproduces the standard Einstein theory in the weak deformation limit. Relations with various mathematical constructions such as Finsler geometry and Hodge-de Rham theory are discussed. |
1808.04470 | Rafa{\l} R. Suszek | Rafa{\l} R. Suszek | Equivariant Cartan-Eilenberg supergerbes for the Green-Schwarz
superbranes III. The wrapping anomaly and the super-${\rm
AdS}_5\times\mathbb{S}^5$ background | 50 pages (v. 2: constraints on the extension of the supersymmetry
algebra on p. 15 relaxed and formulae on p. 16 adapted) | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a continuation of a programme, initiated in the work arXiv:1706.05682
[hep-th], of supersymmetry-equivariant geometrisation of the Green-Schwarz
super-$(p+2)$-cocycles coupling to the topological charges carried by
super-$p$-branes of the superstring theory on reductive homogeneous spaces of
supersymmetry Lie supergroups. In the present part, the ideas and
geometro-algebraic tools developed previously are substantially enhanced,
adapted to and applied in the physically significant curved backround of
Metsaev and Tseytlin, determining the propagation of the critical superstring
in the super-${\rm AdS}_5\times\mathbb{S}^5$ geometry. The analysis brings to
the fore the r\^ole, in the geometrisation scheme proposed, of the wrapping
anomaly of the Poisson algebra of the Noether charges of the rigid symmetries
of the relevant super-{\sigma}-model that lift the geometric symmetries of the
supertarget. In particular, the significance of the charges quantifying the
monodromy of the Grassmann-odd coordinates in the Kosteleck\'y-Rabin-type
quotient of the supertarget is emphasised. A trivial super-1-gerbe is
associated with the Metsaev-Tseytlin super-3-cocycle over the super-${\rm
AdS}_5\times\mathbb{S}^5$ target. The issue of compatibility of the
geometrisation with the \.In\"on\"u-Wigner contraction of the supersymmetry Lie
superalgebra to its flat-superspace counterpart is investigated at some length,
revealing the rigidity of the relevant Cartan-Eilenberg cohomology and
signalling an attractive potential alternative to the non-contractible trivial
super-1-gerbe constructed.
| [
{
"created": "Mon, 13 Aug 2018 21:13:17 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Oct 2018 19:19:45 GMT",
"version": "v2"
}
] | 2018-10-04 | [
[
"Suszek",
"Rafał R.",
""
]
] | This is a continuation of a programme, initiated in the work arXiv:1706.05682 [hep-th], of supersymmetry-equivariant geometrisation of the Green-Schwarz super-$(p+2)$-cocycles coupling to the topological charges carried by super-$p$-branes of the superstring theory on reductive homogeneous spaces of supersymmetry Lie supergroups. In the present part, the ideas and geometro-algebraic tools developed previously are substantially enhanced, adapted to and applied in the physically significant curved backround of Metsaev and Tseytlin, determining the propagation of the critical superstring in the super-${\rm AdS}_5\times\mathbb{S}^5$ geometry. The analysis brings to the fore the r\^ole, in the geometrisation scheme proposed, of the wrapping anomaly of the Poisson algebra of the Noether charges of the rigid symmetries of the relevant super-{\sigma}-model that lift the geometric symmetries of the supertarget. In particular, the significance of the charges quantifying the monodromy of the Grassmann-odd coordinates in the Kosteleck\'y-Rabin-type quotient of the supertarget is emphasised. A trivial super-1-gerbe is associated with the Metsaev-Tseytlin super-3-cocycle over the super-${\rm AdS}_5\times\mathbb{S}^5$ target. The issue of compatibility of the geometrisation with the \.In\"on\"u-Wigner contraction of the supersymmetry Lie superalgebra to its flat-superspace counterpart is investigated at some length, revealing the rigidity of the relevant Cartan-Eilenberg cohomology and signalling an attractive potential alternative to the non-contractible trivial super-1-gerbe constructed. |
hep-th/0007149 | A. V. Shurgaia | A. V. Shurgaia, H. J. W. Mueller-Kirsten, J.-Q. Liang and D. K. Park | Finite Temperature Tunneling and Phase Transitions in SU(2)-Gauge Theory | 16 Pages, LaTex, 4 figures, minor changes, references updated, one
figure removed | null | null | null | hep-th | null | A pure Yang-Mills theory extended by addition of a quartic term is considered
in order to study the transition from the quantum tunneling regime to that of
classical, i.e. thermal, behaviour. The periodic field configurations are
found, which interpolate between the vacuum and sphaleron field configurations.
It is shown by explicit calculation that only smooth second order transitions
occur for all permissible values of the parameter $\L$ introduced with the
quartic term. The theory is one of the rare cases which can be handled
analytically.
| [
{
"created": "Wed, 19 Jul 2000 10:12:57 GMT",
"version": "v1"
},
{
"created": "Thu, 18 May 2006 20:44:11 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Shurgaia",
"A. V.",
""
],
[
"Mueller-Kirsten",
"H. J. W.",
""
],
[
"Liang",
"J. -Q.",
""
],
[
"Park",
"D. K.",
""
]
] | A pure Yang-Mills theory extended by addition of a quartic term is considered in order to study the transition from the quantum tunneling regime to that of classical, i.e. thermal, behaviour. The periodic field configurations are found, which interpolate between the vacuum and sphaleron field configurations. It is shown by explicit calculation that only smooth second order transitions occur for all permissible values of the parameter $\L$ introduced with the quartic term. The theory is one of the rare cases which can be handled analytically. |
hep-th/9801084 | Akira Tokura | H. Itoyama and A. Tokura | USp(2k) Matrix Model: Nonperturbative Approach to Orientifolds | LaTeX, 29 pages, 3 figures. PostScript problems are fixed | Phys.Rev. D58 (1998) 026002 | 10.1103/PhysRevD.58.026002 | OU-HET 287 | hep-th | null | We discuss theoretical implications of the large k USp(2k) matrix model in
zero dimension. The model appears as the matrix model of type IIB superstrings
on a large $T^{6}/Z^{2}$ orientifold via the matrix twist operation. In the
small volume limit, the model behaves four dimensional and its T dual is
six-dimensional worldvolume theory of type I superstrings in ten spacetime
dimensions. Several theoretical considerations including the analysis on planar
diagrams, the commutativity of the projectors with supersymmetries and the
cancellation of gauge anomalies are given, providing us with the rationales for
the choice of the Lie algebra and the field content. A few classical solutions
are constructed which correspond to Dirichlet p-branes and some fluctuations
are evaluated. The particular scaling limit with matrix T duality
transformation is discussed which derives the F theory compactification on an
elliptic fibered K3.
| [
{
"created": "Tue, 13 Jan 1998 15:47:53 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jan 1998 12:55:55 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Itoyama",
"H.",
""
],
[
"Tokura",
"A.",
""
]
] | We discuss theoretical implications of the large k USp(2k) matrix model in zero dimension. The model appears as the matrix model of type IIB superstrings on a large $T^{6}/Z^{2}$ orientifold via the matrix twist operation. In the small volume limit, the model behaves four dimensional and its T dual is six-dimensional worldvolume theory of type I superstrings in ten spacetime dimensions. Several theoretical considerations including the analysis on planar diagrams, the commutativity of the projectors with supersymmetries and the cancellation of gauge anomalies are given, providing us with the rationales for the choice of the Lie algebra and the field content. A few classical solutions are constructed which correspond to Dirichlet p-branes and some fluctuations are evaluated. The particular scaling limit with matrix T duality transformation is discussed which derives the F theory compactification on an elliptic fibered K3. |
1712.08185 | Marco Meineri | Madalena Lemos, Pedro Liendo, Marco Meineri, Sourav Sarkar | Universality at large transverse spin in defect CFT | 45 pages, 6 figures, a few comments added to improve clarity of the
exposition | null | 10.1007/JHEP09(2018)091 | DESY 17-239, HU-EP-17/31 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the spectrum of local operators living on a defect in a generic
conformal field theory, and their coupling to the local bulk operators. We
establish the existence of universal accumulation points in the spectrum at
large $s$, $s$ being the charge of the operators under rotations in the space
transverse to the defect. Our tools include a formula that inverts the bulk to
defect OPE, analogous to the Caron-Huot formula for the four-point function.
Analyticity of the formula in $s$ implies that the scaling dimensions of the
defect operators are aligned in Regge trajectories $\widehat{\Delta}(s)$. These
results require the correlator of two local operators and the defect to be
bounded in a certain region, a condition that we do not prove in general. We
check our conclusions against examples in perturbation theory and holography,
and we make specific predictions concerning the spectrum of defect operators on
Wilson lines. We also give an interpretation of the large $s$ spectrum in the
spirit of the work of Alday and Maldacena.
| [
{
"created": "Thu, 21 Dec 2017 19:30:24 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Aug 2018 01:03:07 GMT",
"version": "v2"
}
] | 2018-10-17 | [
[
"Lemos",
"Madalena",
""
],
[
"Liendo",
"Pedro",
""
],
[
"Meineri",
"Marco",
""
],
[
"Sarkar",
"Sourav",
""
]
] | We study the spectrum of local operators living on a defect in a generic conformal field theory, and their coupling to the local bulk operators. We establish the existence of universal accumulation points in the spectrum at large $s$, $s$ being the charge of the operators under rotations in the space transverse to the defect. Our tools include a formula that inverts the bulk to defect OPE, analogous to the Caron-Huot formula for the four-point function. Analyticity of the formula in $s$ implies that the scaling dimensions of the defect operators are aligned in Regge trajectories $\widehat{\Delta}(s)$. These results require the correlator of two local operators and the defect to be bounded in a certain region, a condition that we do not prove in general. We check our conclusions against examples in perturbation theory and holography, and we make specific predictions concerning the spectrum of defect operators on Wilson lines. We also give an interpretation of the large $s$ spectrum in the spirit of the work of Alday and Maldacena. |
2406.07458 | Kuo-Wei Huang | Kuo-Wei Huang | Resummation of Multi-Stress Tensors in Higher Dimensions | 39 pages, v2: notation improved | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In the context of holographic conformal field theories (CFTs), a system of
linear partial differential equations was recently proposed to be the
higher-dimensional analog of the null-state equations in $d=2$ CFTs at large
central charge. Solving these equations in a near-lightcone expansion yields
solutions that match the minimal-twist multi-stress tensor contributions to a
heavy-light four-point correlator (or a thermal two-point correlator) computed
using holography, the conformal bootstrap, and other methods. This note
explores the exact solutions to these equations. We begin by observing that, in
an expansion in terms of the ratio between the heavy operator's dimension and
the central charge, the $d=2$ correlator involving the level-two degenerate
scalars at each order can be represented as a Bessel function; the resummation
yields the Virasoro vacuum block. We next observe a relation between the $d=2$
correlator and the $d=4$ near-lightcone correlator involving light scalars with
the same conformal dimension. The resummed $d=4$ correlator takes a simple form
in the complex frequency domain. Unlike the Virasoro vacuum block, the
resummation in $d=4$ leads to essential singularities. Similar expressions are
also obtained when the light scalar's dimension takes other finite values.
These CFT results correspond to a holographic computation with a spherical
black hole. In addition, using the differential equations, we demonstrate that
the correlators can be reconstructed via certain modes. In $d=2$, these modes
are related to the Virasoro algebra.
| [
{
"created": "Tue, 11 Jun 2024 17:02:37 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jul 2024 16:43:38 GMT",
"version": "v2"
}
] | 2024-07-23 | [
[
"Huang",
"Kuo-Wei",
""
]
] | In the context of holographic conformal field theories (CFTs), a system of linear partial differential equations was recently proposed to be the higher-dimensional analog of the null-state equations in $d=2$ CFTs at large central charge. Solving these equations in a near-lightcone expansion yields solutions that match the minimal-twist multi-stress tensor contributions to a heavy-light four-point correlator (or a thermal two-point correlator) computed using holography, the conformal bootstrap, and other methods. This note explores the exact solutions to these equations. We begin by observing that, in an expansion in terms of the ratio between the heavy operator's dimension and the central charge, the $d=2$ correlator involving the level-two degenerate scalars at each order can be represented as a Bessel function; the resummation yields the Virasoro vacuum block. We next observe a relation between the $d=2$ correlator and the $d=4$ near-lightcone correlator involving light scalars with the same conformal dimension. The resummed $d=4$ correlator takes a simple form in the complex frequency domain. Unlike the Virasoro vacuum block, the resummation in $d=4$ leads to essential singularities. Similar expressions are also obtained when the light scalar's dimension takes other finite values. These CFT results correspond to a holographic computation with a spherical black hole. In addition, using the differential equations, we demonstrate that the correlators can be reconstructed via certain modes. In $d=2$, these modes are related to the Virasoro algebra. |
hep-th/9305075 | Rohrlich | Y. Aharonov, S. Popescu, D. Rohrlich, and L. Vaidman | Measurements, errors, and negative kinetic energy | 22 pp, TAUP 1850-90 | null | 10.1103/PhysRevA.48.4084 | null | hep-th cond-mat | null | An analysis of errors in measurement yields new insight into the penetration
of quantum particles into classically forbidden regions. In addition to
``physical" values, realistic measurements yield ``unphysical" values which, we
show, can form a consistent pattern. An experiment to isolate a particle in a
classically forbidden region obtains negative values for its kinetic energy.
These values realize the concept of a {\it weak value}, discussed in previous
works.
| [
{
"created": "Mon, 17 May 1993 18:04:44 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Aharonov",
"Y.",
""
],
[
"Popescu",
"S.",
""
],
[
"Rohrlich",
"D.",
""
],
[
"Vaidman",
"L.",
""
]
] | An analysis of errors in measurement yields new insight into the penetration of quantum particles into classically forbidden regions. In addition to ``physical" values, realistic measurements yield ``unphysical" values which, we show, can form a consistent pattern. An experiment to isolate a particle in a classically forbidden region obtains negative values for its kinetic energy. These values realize the concept of a {\it weak value}, discussed in previous works. |
hep-th/9408001 | C. H. Oh | C. H. Oh and K. Singh | Realizations of the $q$-Heisenberg and $q$-Virasoro Algebras | 9 pages | null | 10.1088/0305-4470/27/10/020 | NUS/HEP/94203 | hep-th math.QA | null | We give field theoretic realizations of both the $q$-Heisenberg and the
$q$-Virasoro algebra. In particular, we obtain the operator product expansions
among the current and the energy momentum tensor obtained using the Sugawara
construction.
| [
{
"created": "Mon, 1 Aug 1994 09:21:25 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Oh",
"C. H.",
""
],
[
"Singh",
"K.",
""
]
] | We give field theoretic realizations of both the $q$-Heisenberg and the $q$-Virasoro algebra. In particular, we obtain the operator product expansions among the current and the energy momentum tensor obtained using the Sugawara construction. |
hep-th/9512039 | Bong Lian | Bong H. Lian and Gregg J. Zuckerman | From String Backgrounds to Topological Field Theories | 21 pages, latex twice. minor changes and references added | null | null | Yale-007 | hep-th | null | The BRST formalism has played a fundamental role in the construction of
bosonic closed string backgrounds, ie. the stringy analogs of classical
solutions to the field equations of general relativity. The concept of a string
background has been extended to the notion of $W$-strings, where the BRST
symmetry is still largely conjectural. More recently, the BRST formalism has
entered the construction of two dimensional topological conformal quantum field
theories, such as those that arise from Calabi-Yau varieties. In this lecture,
we focus on common features of the BRST cohomology algebras of string
backgrounds and topological field theories. In this context, we present some
new evidence for a remarkable relationship that transports us from bosonic and
$W$-string backgrounds to the B-model topological conformal field theories
associated to certain noncompact Calabi-Yau varieties. This paper will appear
in the proceedings of the {\it Symposium on BRS Symmetry} held at RIMS,
September 18-22, 1995.
| [
{
"created": "Thu, 7 Dec 1995 01:27:24 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Dec 1995 17:12:15 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Lian",
"Bong H.",
""
],
[
"Zuckerman",
"Gregg J.",
""
]
] | The BRST formalism has played a fundamental role in the construction of bosonic closed string backgrounds, ie. the stringy analogs of classical solutions to the field equations of general relativity. The concept of a string background has been extended to the notion of $W$-strings, where the BRST symmetry is still largely conjectural. More recently, the BRST formalism has entered the construction of two dimensional topological conformal quantum field theories, such as those that arise from Calabi-Yau varieties. In this lecture, we focus on common features of the BRST cohomology algebras of string backgrounds and topological field theories. In this context, we present some new evidence for a remarkable relationship that transports us from bosonic and $W$-string backgrounds to the B-model topological conformal field theories associated to certain noncompact Calabi-Yau varieties. This paper will appear in the proceedings of the {\it Symposium on BRS Symmetry} held at RIMS, September 18-22, 1995. |
2312.09283 | Brett Oertel | Johan Henriksson, Petr Kravchuk, Brett Oertel | Missing local operators, zeros, and twist-4 trajectories | 59 pages, 13 figures + appendices (with 9 more figures) | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The number of local operators in a CFT below a given twist grows with spin.
Consistency with analyticity in spin then requires that at low spin, infinitely
many Regge trajectories must decouple from local correlation functions,
implying infinitely many vanishing conditions for OPE coefficients. In this
paper we explain the mechanism behind this infinity of zeros. Specifically, the
mechanism is related to the two-point function rather than the three-point
function, explaining the vanishing of OPE coefficients in every correlator from
a single condition. We illustrate our result by studying twist-4 Regge
trajectories in the Wilson--Fisher CFT at one loop.
| [
{
"created": "Thu, 14 Dec 2023 19:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 13 May 2024 18:49:08 GMT",
"version": "v2"
}
] | 2024-05-15 | [
[
"Henriksson",
"Johan",
""
],
[
"Kravchuk",
"Petr",
""
],
[
"Oertel",
"Brett",
""
]
] | The number of local operators in a CFT below a given twist grows with spin. Consistency with analyticity in spin then requires that at low spin, infinitely many Regge trajectories must decouple from local correlation functions, implying infinitely many vanishing conditions for OPE coefficients. In this paper we explain the mechanism behind this infinity of zeros. Specifically, the mechanism is related to the two-point function rather than the three-point function, explaining the vanishing of OPE coefficients in every correlator from a single condition. We illustrate our result by studying twist-4 Regge trajectories in the Wilson--Fisher CFT at one loop. |
hep-th/9803146 | Tatsuo Kobayashi | Masud Chaichian, Wen-Feng Chen and Tatsuo Kobayashi | Softly Broken N=1 Supersymmetric QCD | 16 pages, latex, 2 figures | Phys.Lett. B432 (1998) 120-127 | 10.1016/S0370-2693(98)00626-1 | HIP-1998-16/TH | hep-th hep-ph | null | We study softly broken N=1 supersymmetric QCD with the gauge group $SU(N_c)$
and $N_f$ flavours of quarks for $N_f > N_c+1$. We investigate the phase
structure of its dual theory adding generic soft supersymmetry breking terms,
i.e. soft scalar masses, trilinear coupling terms of scalar fields and gaugino
masses. It is found that the trilinear coupling terms play an improtant role in
determining the potential minima. Also we compare softly broken original and
dual theories in the broken phase.
| [
{
"created": "Wed, 18 Mar 1998 14:34:52 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Chaichian",
"Masud",
""
],
[
"Chen",
"Wen-Feng",
""
],
[
"Kobayashi",
"Tatsuo",
""
]
] | We study softly broken N=1 supersymmetric QCD with the gauge group $SU(N_c)$ and $N_f$ flavours of quarks for $N_f > N_c+1$. We investigate the phase structure of its dual theory adding generic soft supersymmetry breking terms, i.e. soft scalar masses, trilinear coupling terms of scalar fields and gaugino masses. It is found that the trilinear coupling terms play an improtant role in determining the potential minima. Also we compare softly broken original and dual theories in the broken phase. |
1308.2276 | Jeffrey Pennington | Lance J. Dixon, James M. Drummond, Matt von Hippel, Jeffrey Pennington | Hexagon functions and the three-loop remainder function | 103 pages, 12 figures, 9 ancillary files. v2: typos corrected,
references added | null | 10.1007/JHEP12(2013)049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the three-loop remainder function, which describes the scattering
of six gluons in the maximally-helicity-violating configuration in planar N=4
super-Yang-Mills theory, as a function of the three dual conformal cross
ratios. The result can be expressed in terms of multiple Goncharov
polylogarithms. We also employ a more restricted class of "hexagon functions"
which have the correct branch cuts and certain other restrictions on their
symbols. We classify all the hexagon functions through transcendental weight
five, using the coproduct for their Hopf algebra iteratively, which amounts to
a set of first-order differential equations. The three-loop remainder function
is a particular weight-six hexagon function, whose symbol was determined
previously. The differential equations can be integrated numerically for
generic values of the cross ratios, or analytically in certain kinematics
limits, including the near-collinear and multi-Regge limits. These limits allow
us to impose constraints from the operator product expansion and multi-Regge
factorization directly at the function level, and thereby to fix uniquely a set
of Riemann-zeta-valued constants that could not be fixed at the level of the
symbol. The near-collinear limits agree precisely with recent predictions by
Basso, Sever and Vieira based on integrability. The multi-Regge limits agree
with the factorization formula of Fadin and Lipatov, and determine three
constants entering the impact factor at this order. We plot the three-loop
remainder function for various slices of the Euclidean region of positive cross
ratios, and compare it to the two-loop one. For large ranges of the cross
ratios, the ratio of the three-loop to the two-loop remainder function is
relatively constant, and close to -7.
| [
{
"created": "Sat, 10 Aug 2013 04:58:44 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 2013 15:40:40 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Dixon",
"Lance J.",
""
],
[
"Drummond",
"James M.",
""
],
[
"von Hippel",
"Matt",
""
],
[
"Pennington",
"Jeffrey",
""
]
] | We present the three-loop remainder function, which describes the scattering of six gluons in the maximally-helicity-violating configuration in planar N=4 super-Yang-Mills theory, as a function of the three dual conformal cross ratios. The result can be expressed in terms of multiple Goncharov polylogarithms. We also employ a more restricted class of "hexagon functions" which have the correct branch cuts and certain other restrictions on their symbols. We classify all the hexagon functions through transcendental weight five, using the coproduct for their Hopf algebra iteratively, which amounts to a set of first-order differential equations. The three-loop remainder function is a particular weight-six hexagon function, whose symbol was determined previously. The differential equations can be integrated numerically for generic values of the cross ratios, or analytically in certain kinematics limits, including the near-collinear and multi-Regge limits. These limits allow us to impose constraints from the operator product expansion and multi-Regge factorization directly at the function level, and thereby to fix uniquely a set of Riemann-zeta-valued constants that could not be fixed at the level of the symbol. The near-collinear limits agree precisely with recent predictions by Basso, Sever and Vieira based on integrability. The multi-Regge limits agree with the factorization formula of Fadin and Lipatov, and determine three constants entering the impact factor at this order. We plot the three-loop remainder function for various slices of the Euclidean region of positive cross ratios, and compare it to the two-loop one. For large ranges of the cross ratios, the ratio of the three-loop to the two-loop remainder function is relatively constant, and close to -7. |
1506.02880 | Yeuk-Kwan Edna Cheung | Baoyi Chen, Gang Chen, Yeuk-Kwan E. Cheung, Ruofei Xie, Yuan Xin | Top-forms of Leading Singularities in Nonplanar Multi-loop Amplitudes | This article has been merged with arXiv:1411.3889 and published in
Eur.Phys.J. C. Thanks for the citations! and please cite "Eur.Phys.J. C77
(2017) no.2, 80" from now on | null | null | NITS-PHY-2015002 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bipartite on-shell diagrams are the latest tool in constructing scattering
amplitudes. In this paper we prove that a Britto-Cachazo-Feng-Witten
(BCFW)-decomposable on-shell diagram process a rational top-form if and only if
the algebraic ideal comprised of the geometrical constraints is shifted
linearly during successive BCFW integrations. With a proper geometric
interpretation of the constraints in the Grassmannian manifold, the rational
top-form integration contours can thus be obtained, and understood, in a
straightforward way. All rational top-form integrands of arbitrary higher loops
leading singularities can therefore be derived recursively, as long as the
corresponding on-shell diagram is BCFW-decomposable.
| [
{
"created": "Tue, 9 Jun 2015 12:21:31 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Feb 2018 10:06:56 GMT",
"version": "v2"
}
] | 2018-02-20 | [
[
"Chen",
"Baoyi",
""
],
[
"Chen",
"Gang",
""
],
[
"Cheung",
"Yeuk-Kwan E.",
""
],
[
"Xie",
"Ruofei",
""
],
[
"Xin",
"Yuan",
""
]
] | Bipartite on-shell diagrams are the latest tool in constructing scattering amplitudes. In this paper we prove that a Britto-Cachazo-Feng-Witten (BCFW)-decomposable on-shell diagram process a rational top-form if and only if the algebraic ideal comprised of the geometrical constraints is shifted linearly during successive BCFW integrations. With a proper geometric interpretation of the constraints in the Grassmannian manifold, the rational top-form integration contours can thus be obtained, and understood, in a straightforward way. All rational top-form integrands of arbitrary higher loops leading singularities can therefore be derived recursively, as long as the corresponding on-shell diagram is BCFW-decomposable. |
hep-th/0107115 | Richard J. Szabo | F. Lizzi, R.J. Szabo and A. Zampini | Geometry of the Gauge Algebra in Noncommutative Yang-Mills Theory | 49 pages LaTeX; v2: References added; v3: Typos corrected and
references added; final version published in JHEP | JHEP 0108 (2001) 032 | 10.1088/1126-6708/2001/08/032 | DSF-19-01, HWM-01-25, EMPG-01-10 | hep-th cond-mat.mes-hall gr-qc math-ph math.FA math.MP | null | A detailed description of the infinite-dimensional Lie algebra of star-gauge
transformations in noncommutative Yang-Mills theory is presented. Various
descriptions of this algebra are given in terms of inner automorphisms of the
underlying deformed algebra of functions on spacetime, of deformed symplectic
diffeomorphisms, of the infinite unitary Lie algebra, and of the algebra of
compact operators on a quantum mechanical Hilbert space. The spacetime and
string interpretations are also elucidated.
| [
{
"created": "Fri, 13 Jul 2001 00:07:25 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jul 2001 13:27:07 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Oct 2001 10:14:14 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Lizzi",
"F.",
""
],
[
"Szabo",
"R. J.",
""
],
[
"Zampini",
"A.",
""
]
] | A detailed description of the infinite-dimensional Lie algebra of star-gauge transformations in noncommutative Yang-Mills theory is presented. Various descriptions of this algebra are given in terms of inner automorphisms of the underlying deformed algebra of functions on spacetime, of deformed symplectic diffeomorphisms, of the infinite unitary Lie algebra, and of the algebra of compact operators on a quantum mechanical Hilbert space. The spacetime and string interpretations are also elucidated. |
2004.13300 | Ho Tat Lam | Pranay Gorantla and Ho Tat Lam | Interface Junctions in QCD${}_4$ | 33 pages, 9 figures | SciPost Phys. 10, 085 (2021) | 10.21468/SciPostPhys.10.4.085 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 3+1 dimensional $SU(N)$ Quantum Chromodynamics (QCD) with $N_f$
degenerate quarks that have a spatially varying complex mass. It leads to a
network of interfaces connected by interface junctions. We use anomaly inflow
to constrain these defects. Based on the chiral Lagrangian and the conjectures
on the interfaces, characterized by a spatially varying $\theta$-parameter, we
propose a low-energy description of such networks of interfaces. Interestingly,
we observe that the operators in the effective field theories on the junctions
can carry baryon charges, and their spin and isospin representations coincide
with baryons. We also study defects, characterized by spatially varying
coupling constants, in 2+1 dimensional Chern-Simons-matter theories and in a
3+1 dimensional real scalar theory.
| [
{
"created": "Tue, 28 Apr 2020 05:04:14 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Jul 2020 02:16:56 GMT",
"version": "v2"
}
] | 2021-04-28 | [
[
"Gorantla",
"Pranay",
""
],
[
"Lam",
"Ho Tat",
""
]
] | We study 3+1 dimensional $SU(N)$ Quantum Chromodynamics (QCD) with $N_f$ degenerate quarks that have a spatially varying complex mass. It leads to a network of interfaces connected by interface junctions. We use anomaly inflow to constrain these defects. Based on the chiral Lagrangian and the conjectures on the interfaces, characterized by a spatially varying $\theta$-parameter, we propose a low-energy description of such networks of interfaces. Interestingly, we observe that the operators in the effective field theories on the junctions can carry baryon charges, and their spin and isospin representations coincide with baryons. We also study defects, characterized by spatially varying coupling constants, in 2+1 dimensional Chern-Simons-matter theories and in a 3+1 dimensional real scalar theory. |
1107.1874 | Ali Mostafazadeh | Ali Mostafazadeh | Imaginary-Scaling versus Indefinite-Metric Quantization of the
Pais-Uhlenbeck Oscillator | Published version, 7 pages | Phys. Rev. D 84, 105018 (2011) | 10.1103/PhysRevD.84.105018 | null | hep-th gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent
alternative to the indefinite-metric quantization scheme that does not violate
unitarity. We describe the basic mathematical structure of this method by
giving an explicit construction of the Hilbert space of state vectors and the
corresponding creation and annihilation operators. The latter satisfy the usual
bosonic commutation relation and differ from those of the indefinite-metric
theories by a sign in the definition of the creation operator. This change of
sign achieves a definitization of the indefinite-metric that gives life to the
ghost states without changing their contribution to the energy spectrum.
| [
{
"created": "Sun, 10 Jul 2011 16:32:14 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2011 10:24:21 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Nov 2011 15:51:58 GMT",
"version": "v3"
},
{
"created": "Fri, 9 Dec 2011 08:33:13 GMT",
"version": "v4"
}
] | 2011-12-12 | [
[
"Mostafazadeh",
"Ali",
""
]
] | Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic mathematical structure of this method by giving an explicit construction of the Hilbert space of state vectors and the corresponding creation and annihilation operators. The latter satisfy the usual bosonic commutation relation and differ from those of the indefinite-metric theories by a sign in the definition of the creation operator. This change of sign achieves a definitization of the indefinite-metric that gives life to the ghost states without changing their contribution to the energy spectrum. |
1408.1804 | Syoji Zeze | Syoji Zeze | Gauge invariant observables from Takahashi-Tanimoto scalar solutions in
open string field theory | 14 pages, 1 figure, Typos fixed. References added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using Maccaferri's formula, we derive new wedge based solutions of open
string field theory. The solutions are gauge equivalent to the
Takahashi-Tanimoto scalar solutions. The classical action and the gauge
invariant overlap are evaluated analytically. We find a perturbative vacuum
solution whose gauge invariant observables vanish. We also identify a tachyon
vacuum solution whose gauge invariant observables are identical to those of the
Erler-Schnabl solution.
| [
{
"created": "Fri, 8 Aug 2014 10:20:24 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jul 2015 13:17:26 GMT",
"version": "v2"
}
] | 2015-07-21 | [
[
"Zeze",
"Syoji",
""
]
] | Using Maccaferri's formula, we derive new wedge based solutions of open string field theory. The solutions are gauge equivalent to the Takahashi-Tanimoto scalar solutions. The classical action and the gauge invariant overlap are evaluated analytically. We find a perturbative vacuum solution whose gauge invariant observables vanish. We also identify a tachyon vacuum solution whose gauge invariant observables are identical to those of the Erler-Schnabl solution. |
1508.00857 | Idrish Huet | Idrish Huet, Julieta Medina | A projective Dirac operator on $\mathbb{C}P^n$ and extended SUSY | 26 pages, new section added, minor improvements | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a universal spin$_c$ Dirac operator on $\mathbb{C}P^n$ built by
projecting $su(n+1)$ left actions and prove its equivalence to the standard
right action Dirac operator on $\mathbb{C}P^n$. The eigenvalue problem is
solved and the spinor space constructed thereof, showing that the proposed
Dirac operator is universal, changing only its domain for different spin$_c$
structures. Explicit expressions for the chirality and the eigenspinors are
also found and consistency with the index theorem is established. Also, the
extended $\mathcal{N} =2$ supersymmetry algebra is realised through the Dirac
operator and its companion supercharge, and an expression for the
superpotential of any spin$_c$ connection on $\mathbb{C}P^n$ is found and
generalised to any spin coset manifold $G/H$ with $G,H$ compact, connected, and
$G$ semisimple. The $R$-symmetry of this superalgebra is found to be equivalent
to the $U(1)$ holonomy of the spin$_c$ connection.
| [
{
"created": "Tue, 4 Aug 2015 18:27:17 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jan 2016 18:02:07 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Oct 2016 00:58:48 GMT",
"version": "v3"
}
] | 2016-10-10 | [
[
"Huet",
"Idrish",
""
],
[
"Medina",
"Julieta",
""
]
] | We construct a universal spin$_c$ Dirac operator on $\mathbb{C}P^n$ built by projecting $su(n+1)$ left actions and prove its equivalence to the standard right action Dirac operator on $\mathbb{C}P^n$. The eigenvalue problem is solved and the spinor space constructed thereof, showing that the proposed Dirac operator is universal, changing only its domain for different spin$_c$ structures. Explicit expressions for the chirality and the eigenspinors are also found and consistency with the index theorem is established. Also, the extended $\mathcal{N} =2$ supersymmetry algebra is realised through the Dirac operator and its companion supercharge, and an expression for the superpotential of any spin$_c$ connection on $\mathbb{C}P^n$ is found and generalised to any spin coset manifold $G/H$ with $G,H$ compact, connected, and $G$ semisimple. The $R$-symmetry of this superalgebra is found to be equivalent to the $U(1)$ holonomy of the spin$_c$ connection. |
2210.12065 | Leopoldo A. Pando Zayas | Alfredo Gonz\'alez Lezcano, Maximilian Jerdee and Leopoldo A. Pando
Zayas | Cardy Expansion of 3d Superconformal Indices and Corrections to the Dual
Black Hole Entropy | 46 pages, 6 figures | null | null | LCTP-22-11 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider the superconformal index of three-dimensional ${\cal N}=2$
supersymmetric field theories computed via localization on $S^1\times S^2$. We
systematically develop an expansion where the ratio of the radius of $S^1$ to
the radius of $S^2$ is taken very small -- a Cardy-like expansion. We emphasize
the sub-leading structures in this Cardy-like expansion as well as their
interplay with the large-$N$ limit for theories with gauge group of the form
product of $U(N)$ factors. We demonstrate that taking the large-$N$ limit first
leads to an expression for the index that only includes terms proportional to
$1/\beta$ and powers of $\beta^{i=0,1,2}$ where $\beta$ is the ratio of radii.
As we depart from the $\beta\to 0$ limit for finite $N$, we find indications of
non-perturbative contributions of the form $e^{-1/\beta}$. For the ABJM theory
we explore the implications of the Cardy-like expansion for corrections to the
entropy of the rotating, electricallly charged, asymptotically AdS$_4$ dual
black hole. Interestingly, we find that the corrections in $\beta$ to the
entropy can be accounted for by appropriately shifting the electric charges and
the angular momentum
| [
{
"created": "Fri, 21 Oct 2022 15:55:28 GMT",
"version": "v1"
}
] | 2022-10-24 | [
[
"Lezcano",
"Alfredo González",
""
],
[
"Jerdee",
"Maximilian",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
]
] | We consider the superconformal index of three-dimensional ${\cal N}=2$ supersymmetric field theories computed via localization on $S^1\times S^2$. We systematically develop an expansion where the ratio of the radius of $S^1$ to the radius of $S^2$ is taken very small -- a Cardy-like expansion. We emphasize the sub-leading structures in this Cardy-like expansion as well as their interplay with the large-$N$ limit for theories with gauge group of the form product of $U(N)$ factors. We demonstrate that taking the large-$N$ limit first leads to an expression for the index that only includes terms proportional to $1/\beta$ and powers of $\beta^{i=0,1,2}$ where $\beta$ is the ratio of radii. As we depart from the $\beta\to 0$ limit for finite $N$, we find indications of non-perturbative contributions of the form $e^{-1/\beta}$. For the ABJM theory we explore the implications of the Cardy-like expansion for corrections to the entropy of the rotating, electricallly charged, asymptotically AdS$_4$ dual black hole. Interestingly, we find that the corrections in $\beta$ to the entropy can be accounted for by appropriately shifting the electric charges and the angular momentum |
hep-th/9309065 | null | L.Chandar and E.Ercolessi | Inequivalent Quantizations of Yang-Mills Theory on a Cylinder | (new references added and minor spelling corrections made) 18 pages,
SU-4240-537 | Nucl.Phys. B426 (1994) 94-106 | 10.1016/0550-3213(94)90127-9 | null | hep-th | null | Yang-Mills theories on a 1+1 dimensional cylinder are considered. It is shown
that canonical quantization can proceed following different routes, leading to
inequivalent quantizations. The problem of the non-free action of the gauge
group on the configuration space is also discussed. In particular we re-examine
the relationship between ``$\theta$-states" and the fundamental group of the
configuration space. It is shown that this relationship does or does not hold
depending on whether or not the gauge transformations not connected to the
identity act freely on the space of connections modulo connected gauge
transformations.
| [
{
"created": "Fri, 10 Sep 1993 20:50:00 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Sep 1993 17:34:00 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Chandar",
"L.",
""
],
[
"Ercolessi",
"E.",
""
]
] | Yang-Mills theories on a 1+1 dimensional cylinder are considered. It is shown that canonical quantization can proceed following different routes, leading to inequivalent quantizations. The problem of the non-free action of the gauge group on the configuration space is also discussed. In particular we re-examine the relationship between ``$\theta$-states" and the fundamental group of the configuration space. It is shown that this relationship does or does not hold depending on whether or not the gauge transformations not connected to the identity act freely on the space of connections modulo connected gauge transformations. |
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