id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9807141 | Roland E. Allen | R.E. Allen, J. Dumoit, and A. Mondragon | Observational Tests of Instanton Cosmology | 4 pages, LaTeX (figure also in LaTeX). Submitted for the proceedings
of PASCOS-98 (Sixth International Symposium on Particles, Strings and
Cosmology; Northeastern University, Boston; March 22-27, 1998) | null | null | null | hep-th astro-ph gr-qc | null | A new cosmological model leads to testable predictions that are different
from those of both standard cosmology and models with a cosmological constant.
The prediction that q_0=0 is the same as in other ``coasting universe'' models,
but arises without the need for any exotic form of matter or other ad hoc
assumptions.
| [
{
"created": "Mon, 20 Jul 1998 16:20:01 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Allen",
"R. E.",
""
],
[
"Dumoit",
"J.",
""
],
[
"Mondragon",
"A.",
""
]
] | A new cosmological model leads to testable predictions that are different from those of both standard cosmology and models with a cosmological constant. The prediction that q_0=0 is the same as in other ``coasting universe'' models, but arises without the need for any exotic form of matter or other ad hoc assumptions. |
1006.2466 | Georgi Dvali | Gia Dvali, Cesar Gomez, Slava Mukhanov | Probing Quantum Geometry at LHC | 14 pages, Latex | JHEP 1102:012,2011 | 10.1007/JHEP02(2011)012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an evidence, that the volumes of compactified spaces as well as
the areas of black hole horizons must be quantized in Planck units. This
quantization has phenomenological consequences, most dramatic being for micro
black holes in the theories with TeV scale gravity that can be produced at LHC.
We predict that black holes come in form of a discrete tower with well defined
spacing. Instead of thermal evaporation, they decay through the sequence of
spontaneous particle emissions, with each transition reducing the horizon area
by strictly integer number of Planck units. Quantization of the horizons can be
a crucial missing link by which the notion of the minimal length in gravity
eliminates physical singularities. In case when the remnants of the black holes
with the minimal possible area and mass of order few TeV are stable, they might
be good candidates for the cold dark matter in the Universe.
| [
{
"created": "Sat, 12 Jun 2010 14:55:08 GMT",
"version": "v1"
}
] | 2011-02-09 | [
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
],
[
"Mukhanov",
"Slava",
""
]
] | We present an evidence, that the volumes of compactified spaces as well as the areas of black hole horizons must be quantized in Planck units. This quantization has phenomenological consequences, most dramatic being for micro black holes in the theories with TeV scale gravity that can be produced at LHC. We predict that black holes come in form of a discrete tower with well defined spacing. Instead of thermal evaporation, they decay through the sequence of spontaneous particle emissions, with each transition reducing the horizon area by strictly integer number of Planck units. Quantization of the horizons can be a crucial missing link by which the notion of the minimal length in gravity eliminates physical singularities. In case when the remnants of the black holes with the minimal possible area and mass of order few TeV are stable, they might be good candidates for the cold dark matter in the Universe. |
hep-th/0006177 | Robert Marnelius | Robert Marnelius | On the quantum BRST structure of classical mechanics | 12 pages, Latexfile | Mod.Phys.Lett. A15 (2000) 1665-1678 | 10.1142/S0217732300002188 | TFI-00-11 | hep-th | null | The BRST-antiBRST invariant path integral formulation of classical mechanics
of Gozzi et al is generalized to pseudomechanics. It is shown that projections
to physical propagators may be obtained by BRST-antiBRST invariant boundary
conditions. The formulation is also viewed from recent group theoretical
results within BRST-antiBRST invariant theories. A natural bracket expressed in
terms of BRST and antiBRST charges in the extended formulation is shown to be
equal to the Poisson bracket. Several remarks on the operator formulation are
made.
| [
{
"created": "Thu, 22 Jun 2000 09:56:48 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Marnelius",
"Robert",
""
]
] | The BRST-antiBRST invariant path integral formulation of classical mechanics of Gozzi et al is generalized to pseudomechanics. It is shown that projections to physical propagators may be obtained by BRST-antiBRST invariant boundary conditions. The formulation is also viewed from recent group theoretical results within BRST-antiBRST invariant theories. A natural bracket expressed in terms of BRST and antiBRST charges in the extended formulation is shown to be equal to the Poisson bracket. Several remarks on the operator formulation are made. |
2202.08438 | Arjun Bagchi | Arjun Bagchi, Shamik Banerjee, Rudranil Basu, and Sudipta Dutta | Scattering Amplitudes: Celestial and Carrollian | 21 pages | null | 10.1103/PhysRevLett.128.241601 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Recent attempts at the construction of holography for asymptotically flat
spacetimes have taken two different routes. Celestial holography, involving a
two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel
results in asymptotic symmetry and scattering amplitudes. A different
formulation, using Carrollian CFTs, has been principally used to provide some
evidence for flat holography in lower dimensions. Understanding of flatspace
scattering has been lacking in the Carroll framework. In this work, using ideas
from Celestial holography, we show that 3d Carrollian CFTs living on the null
boundary of 4d flatspace can potentially compute bulk scattering amplitudes. 3d
Carrollian conformal correlators have two different branches, one depending on
the null time direction and one independent of it. We propose that it is the
time-dependent branch that is related to bulk scattering. We construct an
explicit field theoretic example of a free massless Carrollian scalar that
realises some desired properties.
| [
{
"created": "Thu, 17 Feb 2022 04:03:04 GMT",
"version": "v1"
}
] | 2022-06-29 | [
[
"Bagchi",
"Arjun",
""
],
[
"Banerjee",
"Shamik",
""
],
[
"Basu",
"Rudranil",
""
],
[
"Dutta",
"Sudipta",
""
]
] | Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in asymptotic symmetry and scattering amplitudes. A different formulation, using Carrollian CFTs, has been principally used to provide some evidence for flat holography in lower dimensions. Understanding of flatspace scattering has been lacking in the Carroll framework. In this work, using ideas from Celestial holography, we show that 3d Carrollian CFTs living on the null boundary of 4d flatspace can potentially compute bulk scattering amplitudes. 3d Carrollian conformal correlators have two different branches, one depending on the null time direction and one independent of it. We propose that it is the time-dependent branch that is related to bulk scattering. We construct an explicit field theoretic example of a free massless Carrollian scalar that realises some desired properties. |
hep-th/0407081 | Wung-Hong Huang | Wung-Hong Huang | Tachyon Tube on non BPS D-branes | Latex 18 pages | JHEP0408:060,2004 | 10.1088/1126-6708/2004/08/060 | null | hep-th | null | We report our searches for a single tubular tachyonic solution of regular
profile on unstable non BPS D3-branes. We first show that some extended
Dirac-Born-Infeld tachyon actions in which new contributions are added to avoid
the Derrick's no-go theorem still could not have a single regular tube
solution. Next we use the Minahan-Zwiebach tachyon action to find the regular
tube solutions with circular or elliptic cross section. With a critical
electric field, the energy of the tube comes entirely from the D0 and strings,
while the energy associated to the tubular D2-brane tension is vanishing. We
also show that fluctuation spectrum around the tube solution does not contain
tachyonic mode. The results are consistent with the identification of the
tubular configuration as a BPS D2-brane.
| [
{
"created": "Mon, 12 Jul 2004 11:45:54 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 2004 23:48:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Huang",
"Wung-Hong",
""
]
] | We report our searches for a single tubular tachyonic solution of regular profile on unstable non BPS D3-branes. We first show that some extended Dirac-Born-Infeld tachyon actions in which new contributions are added to avoid the Derrick's no-go theorem still could not have a single regular tube solution. Next we use the Minahan-Zwiebach tachyon action to find the regular tube solutions with circular or elliptic cross section. With a critical electric field, the energy of the tube comes entirely from the D0 and strings, while the energy associated to the tubular D2-brane tension is vanishing. We also show that fluctuation spectrum around the tube solution does not contain tachyonic mode. The results are consistent with the identification of the tubular configuration as a BPS D2-brane. |
0806.2584 | Olaf Hohm | Eric A. Bergshoeff, Mees de Roo, Olaf Hohm and Diederik Roest | Multiple Membranes from Gauged Supergravity | 22 pages, v2: minor changes, reference added, v3: version to appear
in JHEP | JHEP0808:091,2008 | 10.1088/1126-6708/2008/08/091 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from gauged N=8 supergravity in three dimensions we construct
actions for multiple membranes by taking the limit to global supersymmetry for
different choices of the embedding tensor. This provides a general framework
that reproduces many recent results on multiple membrane actions as well as
generalisations thereof. As examples we discuss conformal (non-conformal)
gaugings leading to multiple M2-branes (D2-branes) and massive deformations of
these systems.
| [
{
"created": "Mon, 16 Jun 2008 14:02:33 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jun 2008 14:15:06 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Aug 2008 10:04:24 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"de Roo",
"Mees",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Roest",
"Diederik",
""
]
] | Starting from gauged N=8 supergravity in three dimensions we construct actions for multiple membranes by taking the limit to global supersymmetry for different choices of the embedding tensor. This provides a general framework that reproduces many recent results on multiple membrane actions as well as generalisations thereof. As examples we discuss conformal (non-conformal) gaugings leading to multiple M2-branes (D2-branes) and massive deformations of these systems. |
hep-th/0512276 | Emilian Dudas | E. Dudas, C. Papineau and V.A. Rubakov | Flowing to four dimensions | 22 pages, LaTeX | JHEP0603:085,2006 | 10.1088/1126-6708/2006/03/085 | CERN-PH-TH/2005-267, CPHT-RR-074.1205, LPT-ORSAY-05/86,
INR/TH-26-2005 | hep-th | null | We analyze the properties of a model with four-dimensional brane-localized
Higgs type potential of a six dimensional scalar field satisfying the Dirichlet
boundary condition on the boundary of a transverse two-dimensional compact
space. The regularization of the localized couplings generates classical
renormalization group running. A tachyonic mass parameter grows in the
infrared, in analogy with the QCD gauge coupling in four dimensions. We find a
phase transition at a critical value of the bare mass parameter such that the
running mass parameter becomes large in the infrared precisely at the
compactification scale. Below the critical coupling, the theory is in symmetric
phase, whereas above it spontaneous symmetry breaking occurs. Close to the
phase transition point there is a very light mode in the spectrum. The massive
Kaluza-Klein spectrum at the critical coupling becomes independent of the UV
cutoff.
| [
{
"created": "Wed, 21 Dec 2005 17:21:33 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Dudas",
"E.",
""
],
[
"Papineau",
"C.",
""
],
[
"Rubakov",
"V. A.",
""
]
] | We analyze the properties of a model with four-dimensional brane-localized Higgs type potential of a six dimensional scalar field satisfying the Dirichlet boundary condition on the boundary of a transverse two-dimensional compact space. The regularization of the localized couplings generates classical renormalization group running. A tachyonic mass parameter grows in the infrared, in analogy with the QCD gauge coupling in four dimensions. We find a phase transition at a critical value of the bare mass parameter such that the running mass parameter becomes large in the infrared precisely at the compactification scale. Below the critical coupling, the theory is in symmetric phase, whereas above it spontaneous symmetry breaking occurs. Close to the phase transition point there is a very light mode in the spectrum. The massive Kaluza-Klein spectrum at the critical coupling becomes independent of the UV cutoff. |
hep-th/0201176 | Ysmyung | Y. S. Myung (Inje Univ) | Absorption cross section in de Sitter space | 13 pages, version to appear in MPLA | Mod.Phys.Lett. A18 (2003) 617-628 | 10.1142/S0217732303009678 | INJE-TP-02-01 | hep-th | null | We study the wave equation for a minimally coupled massive scalar in
three-dimensional de Sitter space. We compute the absorption cross section to
investigate its cosmological horizon in the southern diamond. Although the
absorption cross section is not defined exactly, we can be determined it from
the fact that the low-energy $s(j=0)$-wave absorption cross section for a
massless scalar is given by the area of the cosmological horizon. On the other
hand, the low-temperature limit of $j\not=0$-mode absorption cross section is
useful for extracting information surrounding the cosmological horizon. Finally
we mention a computation of the absorption cross section on the CFT-side using
the dS/CFT correspondence.
| [
{
"created": "Wed, 23 Jan 2002 01:43:36 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2003 22:27:57 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Myung",
"Y. S.",
"",
"Inje Univ"
]
] | We study the wave equation for a minimally coupled massive scalar in three-dimensional de Sitter space. We compute the absorption cross section to investigate its cosmological horizon in the southern diamond. Although the absorption cross section is not defined exactly, we can be determined it from the fact that the low-energy $s(j=0)$-wave absorption cross section for a massless scalar is given by the area of the cosmological horizon. On the other hand, the low-temperature limit of $j\not=0$-mode absorption cross section is useful for extracting information surrounding the cosmological horizon. Finally we mention a computation of the absorption cross section on the CFT-side using the dS/CFT correspondence. |
hep-th/9301058 | Jacob Bekenstein | Jacob D. Bekenstein | How Fast Does Information Leak out from a Black Hole? | 8 pages, plain TeX, UCSBTH-93-02 | Phys.Rev.Lett. 70 (1993) 3680-3683 | 10.1103/PhysRevLett.70.3680 | null | hep-th gr-qc | null | Hawking's radiance, even as computed without account of backreaction, departs
from blackbody form due to the mode dependence of the barrier penetration
factor. Thus the radiation is not the maximal entropy radiation for given
energy. By comparing estimates of the actual entropy emission rate with the
maximal entropy rate for the given power, and using standard ideas from
communication theory, we set an upper bound on the permitted information
outflow rate. This is several times the rates of black hole entropy decrease or
radiation entropy production. Thus, if subtle quantum effects not heretofore
accounted for code information in the radiance, the information that was
thought to be irreparably lost down the black hole may gradually leak back out
from the black hole environs over the full duration of the hole's evaporation.
| [
{
"created": "Fri, 15 Jan 1993 01:05:27 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bekenstein",
"Jacob D.",
""
]
] | Hawking's radiance, even as computed without account of backreaction, departs from blackbody form due to the mode dependence of the barrier penetration factor. Thus the radiation is not the maximal entropy radiation for given energy. By comparing estimates of the actual entropy emission rate with the maximal entropy rate for the given power, and using standard ideas from communication theory, we set an upper bound on the permitted information outflow rate. This is several times the rates of black hole entropy decrease or radiation entropy production. Thus, if subtle quantum effects not heretofore accounted for code information in the radiance, the information that was thought to be irreparably lost down the black hole may gradually leak back out from the black hole environs over the full duration of the hole's evaporation. |
hep-th/9906076 | Dan Solomon | Dan Solomon | Quantum states with a space-like energy momentum | 23 pages, minor errors corrected | null | null | null | hep-th | null | A common assumption in quantum field theory is that the energy-momentum
4-vector of any quantum state must be timelike. It will be proven that this is
not the case for a Dirac-Maxwell field. In this case quantum states can be
shown to exist whose energy-momentum is spacelike. This implies that there must
exist quantum states with less energy than the vacuum state.
| [
{
"created": "Wed, 9 Jun 1999 21:07:25 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 1999 22:00:49 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Solomon",
"Dan",
""
]
] | A common assumption in quantum field theory is that the energy-momentum 4-vector of any quantum state must be timelike. It will be proven that this is not the case for a Dirac-Maxwell field. In this case quantum states can be shown to exist whose energy-momentum is spacelike. This implies that there must exist quantum states with less energy than the vacuum state. |
hep-th/0105181 | Andrew K. Waldron | S. Deser and A. Waldron | Null Propagation of Partially Massless Higher Spins in (A)dS and
Cosmological Constant Speculations | 10 pages, uses slashed.sty, version to appear, Phys. Lett. B | Phys.Lett.B513:137-141,2001 | 10.1016/S0370-2693(01)00756-0 | BRX-TH 491 | hep-th gr-qc hep-ph | null | We show explicitly that all partially and strictly massless fields with spins
s<=3 in (A)dS have null propagation. Assuming that this property holds also for
s>3, we derive the mass-cosmological constant tunings required to yield all
higher spin partially massless theories. As s increases, the unitarily allowed
region for massive spins is squeezed around \Lambda=0, so that an infinite
tower of massive particles forces vanishing \Lambda. We also speculate on the
relevance of this result to string theory and supergravity in (A)dS
backgrounds.
| [
{
"created": "Fri, 18 May 2001 15:59:24 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2001 21:29:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Deser",
"S.",
""
],
[
"Waldron",
"A.",
""
]
] | We show explicitly that all partially and strictly massless fields with spins s<=3 in (A)dS have null propagation. Assuming that this property holds also for s>3, we derive the mass-cosmological constant tunings required to yield all higher spin partially massless theories. As s increases, the unitarily allowed region for massive spins is squeezed around \Lambda=0, so that an infinite tower of massive particles forces vanishing \Lambda. We also speculate on the relevance of this result to string theory and supergravity in (A)dS backgrounds. |
2404.19761 | Xingyang Yu | Sebastian Franco, and Xingyang Yu | Generalized Symmetries in 2D from String Theory: SymTFTs, Intrinsic
Relativeness, and Anomalies of Non-invertible Symmetries | 42 pages, 8 figures; v2: new paragraph and figure added in subsection
5.2, footnotes and references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Generalized global symmetries, in particular non-invertible and categorical
symmetries, have become a focal point in the recent study of quantum field
theory (QFT). In this paper, we investigate aspects of symmetry topological
field theories (SymTFTs) and anomalies of non-invertible symmetries for 2D QFTs
from a string theory perspective. Our primary focus is on an infinite class of
2D QFTs engineered on D1-branes probing toric Calabi-Yau 4-fold singularities.
We derive 3D SymTFTs from the topological sector of IIB supergravity and
discuss the resulting 2D QFTs, which can be intrinsically relative or absolute.
For intrinsically relative QFTs, we propose a sufficient condition for them to
exist. For absolute QFTs, we show that they exhibit non-invertible symmetries
with an elegant brane origin. Furthermore, we find that these non-invertible
symmetries can suffer from anomalies, which we discuss from a top-down
perspective. Explicit examples are provided, including theories for
$Y^{(p,k)}(\mathbb{P}^2)$, $Y^{(2,0)}(\mathbb{P}^1\times \mathbb{P}^1)$, and
$\mathbb{C}^4/\mathbb{Z}_4$ geometries.
| [
{
"created": "Tue, 30 Apr 2024 17:59:58 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jul 2024 14:17:35 GMT",
"version": "v2"
}
] | 2024-07-12 | [
[
"Franco",
"Sebastian",
""
],
[
"Yu",
"Xingyang",
""
]
] | Generalized global symmetries, in particular non-invertible and categorical symmetries, have become a focal point in the recent study of quantum field theory (QFT). In this paper, we investigate aspects of symmetry topological field theories (SymTFTs) and anomalies of non-invertible symmetries for 2D QFTs from a string theory perspective. Our primary focus is on an infinite class of 2D QFTs engineered on D1-branes probing toric Calabi-Yau 4-fold singularities. We derive 3D SymTFTs from the topological sector of IIB supergravity and discuss the resulting 2D QFTs, which can be intrinsically relative or absolute. For intrinsically relative QFTs, we propose a sufficient condition for them to exist. For absolute QFTs, we show that they exhibit non-invertible symmetries with an elegant brane origin. Furthermore, we find that these non-invertible symmetries can suffer from anomalies, which we discuss from a top-down perspective. Explicit examples are provided, including theories for $Y^{(p,k)}(\mathbb{P}^2)$, $Y^{(2,0)}(\mathbb{P}^1\times \mathbb{P}^1)$, and $\mathbb{C}^4/\mathbb{Z}_4$ geometries. |
1701.04592 | Euro Spallucci | Euro Spallucci and Anais Smailagic | Regular black holes from semi-classical down to Planckian size | Invited review paper to appear in Int. J. Mod. Phys. D; 28 pages; 8
figures, typos corrected, new references added | Int. J. Mod. Phys. D 26, n.7, 1730013, (2017) [27 pages] | 10.1142/S0218271817300130 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we review various models of curvature singularity free black
holes. In the first part of the review we describe semi-classical solutions of
the Einstein equations which, however, contains a "quantum" input through the
matter source. We start by reviewing the early model by Bardeen where the
metric is regularized by-hand through a short-distance cut-off, which is
justified in terms of non-linear electro-dynamical effects. This a toy-model
model useful to point-out the common features shared by all regular
semi-classical black holes. Then, we solve Einstein equations with a Gaussian
source encoding the quantum spread of an elementary particle. We identify, the
a priori arbitrary, Gaussian width with the Compton wavelength of the quantum
particle. This Compton-Gauss model leads to the estimate of a terminal density
that a gravitationally collapsed object can achieve. We identify this density
to be the Planck density, and reformulate the Gaussian model assuming this as
its peak density. All these models, are physically reliable as long as the
black hole mass is big enough with respect to the Planck mass. In the truly
Planckian regime, the semi-classical approximation breaks down. In this case, a
fully quantum black hole description is needed. In the last part of this paper,
we propose a non-geometrical quantum model of Planckian black hole implementing
the Holographic Principle and realizing the "classicalization" scenario
recently introduced by Dvali and collaborators. The classical relation between
the mass and radius of the black hole emerges only in the classical limit, far
away from the Planck scale.
| [
{
"created": "Tue, 17 Jan 2017 09:43:34 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Feb 2017 12:59:24 GMT",
"version": "v2"
}
] | 2017-06-13 | [
[
"Spallucci",
"Euro",
""
],
[
"Smailagic",
"Anais",
""
]
] | In this paper we review various models of curvature singularity free black holes. In the first part of the review we describe semi-classical solutions of the Einstein equations which, however, contains a "quantum" input through the matter source. We start by reviewing the early model by Bardeen where the metric is regularized by-hand through a short-distance cut-off, which is justified in terms of non-linear electro-dynamical effects. This a toy-model model useful to point-out the common features shared by all regular semi-classical black holes. Then, we solve Einstein equations with a Gaussian source encoding the quantum spread of an elementary particle. We identify, the a priori arbitrary, Gaussian width with the Compton wavelength of the quantum particle. This Compton-Gauss model leads to the estimate of a terminal density that a gravitationally collapsed object can achieve. We identify this density to be the Planck density, and reformulate the Gaussian model assuming this as its peak density. All these models, are physically reliable as long as the black hole mass is big enough with respect to the Planck mass. In the truly Planckian regime, the semi-classical approximation breaks down. In this case, a fully quantum black hole description is needed. In the last part of this paper, we propose a non-geometrical quantum model of Planckian black hole implementing the Holographic Principle and realizing the "classicalization" scenario recently introduced by Dvali and collaborators. The classical relation between the mass and radius of the black hole emerges only in the classical limit, far away from the Planck scale. |
1303.4526 | Qing-Guo Huang | Qing-Guo Huang and Yi Wang | Large Local Non-Gaussianity from General Single-field Inflation | 5 pages, one figure | JCAP 06(2013)035 | 10.1088/1475-7516/2013/06/035 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the non-Gaussian signatures of ultra slow-roll inflation. The
bispectrum and the trispectrum are calculated with general initial conditions.
The trispectrum is of local shape, as in the case of the bispectrum. We show
that the prediction of local non-Gaussianity is robust again generalizing the
Bunch-Davies vacuum. The Suyama-Yamaguchi relation is saturated in this
scenario.
| [
{
"created": "Tue, 19 Mar 2013 09:42:21 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Huang",
"Qing-Guo",
""
],
[
"Wang",
"Yi",
""
]
] | We investigate the non-Gaussian signatures of ultra slow-roll inflation. The bispectrum and the trispectrum are calculated with general initial conditions. The trispectrum is of local shape, as in the case of the bispectrum. We show that the prediction of local non-Gaussianity is robust again generalizing the Bunch-Davies vacuum. The Suyama-Yamaguchi relation is saturated in this scenario. |
1804.10624 | Scott Melville | Claudia de Rham, Scott Melville, Andrew J. Tolley, Shuang-Yong Zhou | Positivity Bounds for Massive Spin-1 and Spin-2 Fields | 38 pages, 2 figures | J. High Energ. Phys. (2019) 2019: 182 | 10.1007/JHEP03(2019)182 | Imperial/TP/2018/CdR/01 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the recently developed positivity bounds for particles with spin,
applied away from the forward limit, to the low energy effective theories of
massive spin-1 and spin-2 theories. For spin-1 theories, we consider the
generic Proca EFT which arises at low energies from a heavy Higgs mechanism,
and the special case of a charged Galileon for which the EFT is reorganized by
the Galileon symmetry. For spin-2, we consider generic $\Lambda_5$ massive
gravity theories and the special `ghost-free' $\Lambda_3$ theories. Remarkably
we find that at the level of 2-2 scattering, the positivity bounds applied to
$\Lambda_5$ massive gravity theories impose the special tunings which generate
the $\Lambda_3$ structure. For $\Lambda_3$ massive gravity theories, the island
of positivity derived in the forward limit appears relatively stable against
further bounds.
| [
{
"created": "Fri, 27 Apr 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Apr 2019 10:58:24 GMT",
"version": "v2"
}
] | 2019-04-03 | [
[
"de Rham",
"Claudia",
""
],
[
"Melville",
"Scott",
""
],
[
"Tolley",
"Andrew J.",
""
],
[
"Zhou",
"Shuang-Yong",
""
]
] | We apply the recently developed positivity bounds for particles with spin, applied away from the forward limit, to the low energy effective theories of massive spin-1 and spin-2 theories. For spin-1 theories, we consider the generic Proca EFT which arises at low energies from a heavy Higgs mechanism, and the special case of a charged Galileon for which the EFT is reorganized by the Galileon symmetry. For spin-2, we consider generic $\Lambda_5$ massive gravity theories and the special `ghost-free' $\Lambda_3$ theories. Remarkably we find that at the level of 2-2 scattering, the positivity bounds applied to $\Lambda_5$ massive gravity theories impose the special tunings which generate the $\Lambda_3$ structure. For $\Lambda_3$ massive gravity theories, the island of positivity derived in the forward limit appears relatively stable against further bounds. |
1803.02485 | Pavel Krtous | Pavel Krtou\v{s}, Valeri P. Frolov, David Kubiz\v{n}\'ak | Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes | 36 pages, no figures [v2: a note on the Proca field added; v3:
misprint corrections, references updated] | Nucl. Phys. B 934, 7-38 (2018) | 10.1016/j.nuclphysb.2018.06.019 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we explicitly demonstrate separability of the Maxwell equations
in a wide class of higher-dimensional metrics which include the Kerr-NUT-(A)dS
solution as a special case. Namely, we prove such separability for the most
general metric admitting the principal tensor (a non-degenerate closed
conformal Killing-Yano 2-form). To this purpose we use a special ansatz for the
electromagnetic potential, which we represent as a product of a (rank 2)
polarization tensor with the gradient of a potential function, generalizing the
ansatz recently proposed by Lunin. We show that for a special choice of the
polarization tensor written in terms of the principal tensor, both the Lorenz
gauge condition and the Maxwell equations reduce to a composition of mutually
commuting operators acting on the potential function. A solution to both these
equations can be written in terms of an eigenfunction of these commuting
operators. When incorporating a multiplicative separability ansatz, it turns
out that the eigenvalue equations reduce to a set of separated ordinary
differential equations with the eigenvalues playing a role of separability
constants. The remaining ambiguity in the separated equations is related to an
identification of D-2 polarizations of the electromagnetic field. We thus
obtained a sufficiently rich set of solutions for the Maxwell equations in
these spacetimes.
| [
{
"created": "Wed, 7 Mar 2018 00:21:46 GMT",
"version": "v1"
},
{
"created": "Tue, 22 May 2018 21:20:07 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Jul 2018 21:04:38 GMT",
"version": "v3"
}
] | 2018-07-18 | [
[
"Krtouš",
"Pavel",
""
],
[
"Frolov",
"Valeri P.",
""
],
[
"Kubizňák",
"David",
""
]
] | In this paper we explicitly demonstrate separability of the Maxwell equations in a wide class of higher-dimensional metrics which include the Kerr-NUT-(A)dS solution as a special case. Namely, we prove such separability for the most general metric admitting the principal tensor (a non-degenerate closed conformal Killing-Yano 2-form). To this purpose we use a special ansatz for the electromagnetic potential, which we represent as a product of a (rank 2) polarization tensor with the gradient of a potential function, generalizing the ansatz recently proposed by Lunin. We show that for a special choice of the polarization tensor written in terms of the principal tensor, both the Lorenz gauge condition and the Maxwell equations reduce to a composition of mutually commuting operators acting on the potential function. A solution to both these equations can be written in terms of an eigenfunction of these commuting operators. When incorporating a multiplicative separability ansatz, it turns out that the eigenvalue equations reduce to a set of separated ordinary differential equations with the eigenvalues playing a role of separability constants. The remaining ambiguity in the separated equations is related to an identification of D-2 polarizations of the electromagnetic field. We thus obtained a sufficiently rich set of solutions for the Maxwell equations in these spacetimes. |
1212.6944 | Theodore A. Jacobson | Ted Jacobson | Boundary unitarity and the black hole information paradox | 7 pages; v3: title updated; v2: essentially coincides, apart from a
few stylistic changes, with v1 | Int.J.Mod.Phys. D22 (2013) 1342002 | 10.1142/S0218271813420029 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Both AdS/CFT duality and more general reasoning from quantum gravity point to
a rich collection of boundary observables that always evolve unitarily. The
physical quantum gravity states described by these observables must be
solutions of the spatial diffeomorphism and Wheeler-deWitt constraints, which
implies that the state space does not factorize into a tensor product of
localized degrees of freedom. The "firewall" argument that unitarity of black
hole S-matrix implies the presence of a highly excited quantum state near the
horizon is based on such a factorization, hence is not applicable in quantum
gravity. In fact, there appears to be no conflict between boundary unitarity
and regularity of the event horizon.
| [
{
"created": "Mon, 31 Dec 2012 18:47:14 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Mar 2014 20:55:44 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Nov 2021 16:41:27 GMT",
"version": "v3"
}
] | 2021-11-05 | [
[
"Jacobson",
"Ted",
""
]
] | Both AdS/CFT duality and more general reasoning from quantum gravity point to a rich collection of boundary observables that always evolve unitarily. The physical quantum gravity states described by these observables must be solutions of the spatial diffeomorphism and Wheeler-deWitt constraints, which implies that the state space does not factorize into a tensor product of localized degrees of freedom. The "firewall" argument that unitarity of black hole S-matrix implies the presence of a highly excited quantum state near the horizon is based on such a factorization, hence is not applicable in quantum gravity. In fact, there appears to be no conflict between boundary unitarity and regularity of the event horizon. |
hep-th/9605051 | Donam Youm | Mirjam Cvetic and Donam Youm | Near-BPS-Saturated Rotating Electrically Charged Black Holes as String
States | 13 pages, uses RevTex | Nucl.Phys.B477:449-464,1996 | 10.1016/0550-3213(96)00391-4 | IASSNS-HEP-96/43,UPR-700-T,PUPT-1623 | hep-th gr-qc | null | We construct generating solutions for general D-dimensional ($4 \le D \le 9$)
rotating, electrically charged, black holes in the effective action of
toroidally compactified heterotic (or Type IIA) string. The generating solution
is parameterized by the ADM mass, two electric charges and $[{D-1}\over 2]$
angular momenta (as well as the asymptotic values of one toroidal modulus and
the dilaton field). For $D \ge 6$, those are generating solutions for {\it
general} black holes in toroidally compactified heterotic (or type IIA) string.
Since in the BPS-limit (extreme limit) these solutions have singular horizons
or naked singularities, we address the near extreme solutions with all the
angular momenta small enough. In this limit, the thermodynamic entropy can be
cast in a suggestive form, which has a qualitative interpretation as
microscopic entropy of (near)-BPS-saturated charged string states of toroidally
compactified heterotic string, whose target-space angular momenta are
identified as $[{{D-1}\over 2}]$ U(1) left-moving world-sheet currents.
| [
{
"created": "Wed, 8 May 1996 04:08:20 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Youm",
"Donam",
""
]
] | We construct generating solutions for general D-dimensional ($4 \le D \le 9$) rotating, electrically charged, black holes in the effective action of toroidally compactified heterotic (or Type IIA) string. The generating solution is parameterized by the ADM mass, two electric charges and $[{D-1}\over 2]$ angular momenta (as well as the asymptotic values of one toroidal modulus and the dilaton field). For $D \ge 6$, those are generating solutions for {\it general} black holes in toroidally compactified heterotic (or type IIA) string. Since in the BPS-limit (extreme limit) these solutions have singular horizons or naked singularities, we address the near extreme solutions with all the angular momenta small enough. In this limit, the thermodynamic entropy can be cast in a suggestive form, which has a qualitative interpretation as microscopic entropy of (near)-BPS-saturated charged string states of toroidally compactified heterotic string, whose target-space angular momenta are identified as $[{{D-1}\over 2}]$ U(1) left-moving world-sheet currents. |
hep-th/0701054 | Hyeong-Chan Kim | Hyeong-Chan Kim, Jae Hyung Yee, and Chaiho Rim | $\kappa-$Minkowski spacetime and a uniformly accelerating observer | 13 pages, 2 figures | Phys.Rev.D75:045017,2007 | 10.1103/PhysRevD.75.045017 | null | hep-th gr-qc | null | We analyze the response of a detector with a uniform acceleration $\alpha$ in
$\kappa-$Minkowski spacetime using the first order perturbation theory. The
monopole detector is coupled to a massless complex scalar field in such a way
that it is sensitive to the Lorentz violation due to the noncommutativity of
spacetime present in the $\kappa-$deformation. The response function deviates
from the thermal distribution of Unruh temperature at the order of $1/\kappa$
and vanishes exponentially as the proper time of the detector exceeds a certain
critical time, a logarithmic function of $\kappa$. This suggests that the Unruh
temperature becomes not only fuzzy but also eventually decreases to zero in
this model.
| [
{
"created": "Mon, 8 Jan 2007 06:25:52 GMT",
"version": "v1"
}
] | 2009-01-30 | [
[
"Kim",
"Hyeong-Chan",
""
],
[
"Yee",
"Jae Hyung",
""
],
[
"Rim",
"Chaiho",
""
]
] | We analyze the response of a detector with a uniform acceleration $\alpha$ in $\kappa-$Minkowski spacetime using the first order perturbation theory. The monopole detector is coupled to a massless complex scalar field in such a way that it is sensitive to the Lorentz violation due to the noncommutativity of spacetime present in the $\kappa-$deformation. The response function deviates from the thermal distribution of Unruh temperature at the order of $1/\kappa$ and vanishes exponentially as the proper time of the detector exceeds a certain critical time, a logarithmic function of $\kappa$. This suggests that the Unruh temperature becomes not only fuzzy but also eventually decreases to zero in this model. |
0706.1573 | Adam Brown | Adam R. Brown and Erick J. Weinberg | Thermal derivation of the Coleman-De Luccia tunneling prescription | 28 pages, 5 figures; minor rephrasing, typos corrected | Phys.Rev.D76:064003,2007 | 10.1103/PhysRevD.76.064003 | CU-TP-1178, KIAS-P07025 | hep-th gr-qc | null | We derive the rate for transitions between de Sitter vacua by treating the
field theory on the static patch as a thermal system. This reproduces the
Coleman-De Luccia formalism for calculating the rate, but leads to a modified
interpretation of the bounce solution and a different prediction for the
evolution of the system after tunneling. The bounce is seen to correspond to a
sequence of configurations interpolating between initial and final
configurations on either side of the tunneling barrier, all of which are
restricted to the static patch. The final configuration, which gives the
initial data on the static patch for evolution after tunneling, is obtained
from one half of a slice through the center of the bounce, while the other half
gives the configuration before tunneling. The formalism makes no statement
about the fields beyond the horizon.
This approach resolves several puzzling aspects and interpretational issues
concerning the Coleman-De Luccia and Hawking-Moss bounces. We work in the limit
where the back reaction of matter on metric can be ignored, but argue that the
qualitative aspects remain in the more general case. The extension to tunneling
between anti-de Sitter vacua is discussed.
| [
{
"created": "Tue, 12 Jun 2007 02:53:05 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jul 2007 22:25:53 GMT",
"version": "v2"
},
{
"created": "Sat, 1 Sep 2007 03:53:57 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Brown",
"Adam R.",
""
],
[
"Weinberg",
"Erick J.",
""
]
] | We derive the rate for transitions between de Sitter vacua by treating the field theory on the static patch as a thermal system. This reproduces the Coleman-De Luccia formalism for calculating the rate, but leads to a modified interpretation of the bounce solution and a different prediction for the evolution of the system after tunneling. The bounce is seen to correspond to a sequence of configurations interpolating between initial and final configurations on either side of the tunneling barrier, all of which are restricted to the static patch. The final configuration, which gives the initial data on the static patch for evolution after tunneling, is obtained from one half of a slice through the center of the bounce, while the other half gives the configuration before tunneling. The formalism makes no statement about the fields beyond the horizon. This approach resolves several puzzling aspects and interpretational issues concerning the Coleman-De Luccia and Hawking-Moss bounces. We work in the limit where the back reaction of matter on metric can be ignored, but argue that the qualitative aspects remain in the more general case. The extension to tunneling between anti-de Sitter vacua is discussed. |
2205.05650 | Andrey Morozov | Liudmila Bishler, Andrei Mironov, Andrey Morozov | Invariants of knots and links at roots of unity | 26 pages, 12 figures | Journal of Geometry and Physics (2022) 104729 | 10.1016/j.geomphys.2022.104729 | FIAN/TH-04/22 MITP/TH-11/22 ITEP/TH-14/22 IITP/TH-12/22 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present a comprehensive classification of invariants of knots and links
associated with irreducible representations of \uqslN{}, when the parameter of
quantization $q$ is a root of unity. We demonstrate that, besides the standard
HOMFLY-PT invariants, which are associated with representations with highest
and lowest weights, non-trivial invariants can be associated only with
nilpotent representations with parameters. We define the corresponding
invariants and discuss their relations with standard invariants at particular
values of parameters.
| [
{
"created": "Wed, 11 May 2022 17:26:25 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2022 19:23:31 GMT",
"version": "v2"
}
] | 2022-12-16 | [
[
"Bishler",
"Liudmila",
""
],
[
"Mironov",
"Andrei",
""
],
[
"Morozov",
"Andrey",
""
]
] | We present a comprehensive classification of invariants of knots and links associated with irreducible representations of \uqslN{}, when the parameter of quantization $q$ is a root of unity. We demonstrate that, besides the standard HOMFLY-PT invariants, which are associated with representations with highest and lowest weights, non-trivial invariants can be associated only with nilpotent representations with parameters. We define the corresponding invariants and discuss their relations with standard invariants at particular values of parameters. |
hep-th/0209261 | David Langlois | David Langlois (GRECO/IAP, Paris) | Brane cosmology: an introduction | 32 pages; 3 figures; Latex (PTPTeX); to appear in the Proceedings of
the YITP workshop on "Braneworld - Dynamics of spacetime boundary" | Prog.Theor.Phys.Suppl.148:181-212,2003 | 10.1143/PTPS.148.181 | null | hep-th astro-ph gr-qc hep-ph | null | These notes give an introductory review on brane cosmology. This subject
deals with the cosmological behaviour of a brane-universe, i.e. a
three-dimensional space, where ordinary matter is confined, embedded in a
higher dimensional spacetime. In the tractable case of a five-dimensional bulk
spacetime, the brane (modified) Friedmann equation is discussed in detail, and
various other aspects are presented, such as cosmological perturbations, bulk
scalar fields and systems with several branes.
| [
{
"created": "Mon, 30 Sep 2002 14:46:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Langlois",
"David",
"",
"GRECO/IAP, Paris"
]
] | These notes give an introductory review on brane cosmology. This subject deals with the cosmological behaviour of a brane-universe, i.e. a three-dimensional space, where ordinary matter is confined, embedded in a higher dimensional spacetime. In the tractable case of a five-dimensional bulk spacetime, the brane (modified) Friedmann equation is discussed in detail, and various other aspects are presented, such as cosmological perturbations, bulk scalar fields and systems with several branes. |
2007.09520 | Ai-Chen Li | Ai-chen Li | Holographic complexity growth for a charged AdS-dilaton black holes with
fixed and dynamical boundary respectively | 11 pages, 7 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic complexity conjectures are considered in a
Einstein-Maxwell-Dilaton gravity, by using the "Complexity-Volume" proposal.
Specifically, we calculate the growth rate of complexity for an eternal charged
AdS-dilaton black holes with fixed and dynamical boundaries respectively. The
dynamical boundary is achieved by introducing a moving self-graviting brane on
which the induced metric has an exact FLRW form. In case of fixed AdS boundary,
there exists a bound for evolution of growth rate on late time, while this
bound will become larger as the dilaton coupling constant $\alpha$ increases.
In large $\alpha$ limit, we analytically prove that this bound is a finite
value which is proportional to the black hole mass. In case of dynamical
boundary, namely the brane-bulk system, the growth rate decreases monotonously
on late time, after reaching a maximum value at a certain time. We find that
the evolution of growth rate for brane-bulk system on late time is dominated by
the velocity of the moving brane. We guess this result is model-independent.
| [
{
"created": "Sat, 18 Jul 2020 21:49:56 GMT",
"version": "v1"
}
] | 2020-07-21 | [
[
"Li",
"Ai-chen",
""
]
] | The holographic complexity conjectures are considered in a Einstein-Maxwell-Dilaton gravity, by using the "Complexity-Volume" proposal. Specifically, we calculate the growth rate of complexity for an eternal charged AdS-dilaton black holes with fixed and dynamical boundaries respectively. The dynamical boundary is achieved by introducing a moving self-graviting brane on which the induced metric has an exact FLRW form. In case of fixed AdS boundary, there exists a bound for evolution of growth rate on late time, while this bound will become larger as the dilaton coupling constant $\alpha$ increases. In large $\alpha$ limit, we analytically prove that this bound is a finite value which is proportional to the black hole mass. In case of dynamical boundary, namely the brane-bulk system, the growth rate decreases monotonously on late time, after reaching a maximum value at a certain time. We find that the evolution of growth rate for brane-bulk system on late time is dominated by the velocity of the moving brane. We guess this result is model-independent. |
2310.04532 | Gustavo Joaquin Turiaci | Ilija Rakic, Mukund Rangamani, and Gustavo J. Turiaci | Thermodynamics of the near-extremal Kerr spacetime | 38 pages; v2: Added comments on superradiance | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We examine the thermodynamics of a near-extremal Kerr black hole, and
demonstrate that the geometry behaves as an ordinary quantum system with a
vanishingly small degeneracy at low temperatures. This is in contrast with the
classical analysis, which instead predicts a macroscopic entropy for the
extremal Kerr black hole. Our results follow from a careful analysis of the
gravitational path integral. Specifically, the low temperature canonical
partition function behaves as $Z \sim \, T^\frac{3}{2}\, e^{S_0+ c \log S_0}$,
with $S_0$ the classical degeneracy and $c$ a numerical coefficient we compute.
This is in line with the general expectations for non-supersymmetric
near-extremal black hole thermodynamics, as has been clarified in the recent
past, although cases without spherical symmetry have not yet been fully
analyzed until now. We also point out some curious features relating to the
rotational zero modes of the near-extremal Kerr black hole background that
affects the coefficient $c$. This raises a puzzle when considering similar
black holes in string theory. Our results generalize to other rotating black
holes, as we briefly exemplify.
| [
{
"created": "Fri, 6 Oct 2023 18:54:11 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Feb 2024 01:14:08 GMT",
"version": "v2"
}
] | 2024-02-19 | [
[
"Rakic",
"Ilija",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Turiaci",
"Gustavo J.",
""
]
] | We examine the thermodynamics of a near-extremal Kerr black hole, and demonstrate that the geometry behaves as an ordinary quantum system with a vanishingly small degeneracy at low temperatures. This is in contrast with the classical analysis, which instead predicts a macroscopic entropy for the extremal Kerr black hole. Our results follow from a careful analysis of the gravitational path integral. Specifically, the low temperature canonical partition function behaves as $Z \sim \, T^\frac{3}{2}\, e^{S_0+ c \log S_0}$, with $S_0$ the classical degeneracy and $c$ a numerical coefficient we compute. This is in line with the general expectations for non-supersymmetric near-extremal black hole thermodynamics, as has been clarified in the recent past, although cases without spherical symmetry have not yet been fully analyzed until now. We also point out some curious features relating to the rotational zero modes of the near-extremal Kerr black hole background that affects the coefficient $c$. This raises a puzzle when considering similar black holes in string theory. Our results generalize to other rotating black holes, as we briefly exemplify. |
0906.0102 | Bayram Tekin | Ibrahim Gullu and Bayram Tekin | Massive Higher Derivative Gravity in D-dimensional Anti-de Sitter
Spacetimes | 9 pages, references added, to appear in PRD | Phys.Rev.D80:064033,2009 | 10.1103/PhysRevD.80.064033 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the propagator and calculate the tree level scattering amplitude
between two covariantly conserved sources in an Anti-de Sitter background for
the most general D-dimensional quadratic, four-derivative, gravity with a
Pauli-Fierz mass. We also calculate the Newtonian potential for various limits
of the theory in flat space. We show how the recently introduced three
dimensional New Massive Gravity is uniquely singled out among higher derivative
models as a (tree level) unitary model and that its Newtonian limit is
equivalent to that of the usual massive gravity in flat space.
| [
{
"created": "Sun, 31 May 2009 05:33:43 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Sep 2009 07:13:54 GMT",
"version": "v2"
}
] | 2010-01-15 | [
[
"Gullu",
"Ibrahim",
""
],
[
"Tekin",
"Bayram",
""
]
] | We find the propagator and calculate the tree level scattering amplitude between two covariantly conserved sources in an Anti-de Sitter background for the most general D-dimensional quadratic, four-derivative, gravity with a Pauli-Fierz mass. We also calculate the Newtonian potential for various limits of the theory in flat space. We show how the recently introduced three dimensional New Massive Gravity is uniquely singled out among higher derivative models as a (tree level) unitary model and that its Newtonian limit is equivalent to that of the usual massive gravity in flat space. |
hep-th/9609122 | Edward Witten | Edward Witten | On Flux Quantization In M-Theory And The Effective Action | 17 pp, harvmac; A correction and additional application have been
added | J.Geom.Phys.22:1-13,1997 | 10.1016/S0393-0440(96)00042-3 | IASSNS-HEP-96/96 | hep-th | null | The quantization law for the antisymmetric tensor field of $M$-theory
contains a gravitational contribution not known previously. When it is
included, the low energy effective action of $M$-theory, including one-loop and
Chern-Simons contributions, is well-defined. The relation of $M$-theory to the
$E_8\times E_8$ heterotic string greatly facilitates the analysis.
| [
{
"created": "Mon, 16 Sep 1996 14:08:03 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Oct 1996 15:14:33 GMT",
"version": "v2"
}
] | 2010-04-07 | [
[
"Witten",
"Edward",
""
]
] | The quantization law for the antisymmetric tensor field of $M$-theory contains a gravitational contribution not known previously. When it is included, the low energy effective action of $M$-theory, including one-loop and Chern-Simons contributions, is well-defined. The relation of $M$-theory to the $E_8\times E_8$ heterotic string greatly facilitates the analysis. |
hep-th/0311060 | Matej Pavsic | Matej Pavsic | General Principles of Brane Kinematics and Dynamics | 12 pages; Contribution to the Proceedings of the EURESCO conference
`What comes beyond the Standard Model', 12-17 July 2003, Portoroz, Slovenia | null | null | null | hep-th gr-qc | null | We consider branes as "points" in an infinite dimensional brane space ${\cal
M}$ with a prescribed metric. Branes move along the geodesics of ${\cal M}$.
For a particular choice of metric the equations of motion are equivalent to the
well known equations of the Dirac-Nambu-Goto branes (including strings). Such
theory describes "free fall" in ${\cal M}$-space. In the next step the metric
of ${\cal M}$-space is given the dynamical role and a corresponding kinetic
term is added to the action. So we obtain a background independent brane
theory: a space in which branes live is ${\cal M}$-space and it is not given in
advance, but comes out as a solution to the equations of motion. The embedding
space ("target space") is not separately postulated. It is identified with the
brane configuration.
| [
{
"created": "Fri, 7 Nov 2003 12:49:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pavsic",
"Matej",
""
]
] | We consider branes as "points" in an infinite dimensional brane space ${\cal M}$ with a prescribed metric. Branes move along the geodesics of ${\cal M}$. For a particular choice of metric the equations of motion are equivalent to the well known equations of the Dirac-Nambu-Goto branes (including strings). Such theory describes "free fall" in ${\cal M}$-space. In the next step the metric of ${\cal M}$-space is given the dynamical role and a corresponding kinetic term is added to the action. So we obtain a background independent brane theory: a space in which branes live is ${\cal M}$-space and it is not given in advance, but comes out as a solution to the equations of motion. The embedding space ("target space") is not separately postulated. It is identified with the brane configuration. |
hep-th/9909022 | Minic | D. Minic (USC) | M-theory and Deformation Quantization | 24 pages, LaTeX | null | null | null | hep-th | null | We discuss deformation quantization of the covariant, light-cone and
conformal gauge-fixed p-brane actions (p>1) which are closely related to the
structure of the classical and quantum Nambu brackets. It is known that
deformation quantization of the Nambu bracket is not of the usual Moyal type.
Yet the Nambu bracket can be quantized using the Zariski deformation
quantization (discovered by Dito, Flato, Sternheimer and Takhtajan) which is
based on factorization of polynomials in several real variables. We discuss a
particular application of the Zariski deformed quantization in M-theory by
considering the problem of a covariant formulation of Matrix theory. We propose
that the problem of a covariant formulation of Matrix theory can be solved
using the formalism of Zariski deformed quantization of the triple Nambu
bracket.
| [
{
"created": "Sat, 4 Sep 1999 02:42:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Minic",
"D.",
"",
"USC"
]
] | We discuss deformation quantization of the covariant, light-cone and conformal gauge-fixed p-brane actions (p>1) which are closely related to the structure of the classical and quantum Nambu brackets. It is known that deformation quantization of the Nambu bracket is not of the usual Moyal type. Yet the Nambu bracket can be quantized using the Zariski deformation quantization (discovered by Dito, Flato, Sternheimer and Takhtajan) which is based on factorization of polynomials in several real variables. We discuss a particular application of the Zariski deformed quantization in M-theory by considering the problem of a covariant formulation of Matrix theory. We propose that the problem of a covariant formulation of Matrix theory can be solved using the formalism of Zariski deformed quantization of the triple Nambu bracket. |
hep-th/9203029 | Kurt Haller | Kurt Haller and Edwin Lombridas | Canonical Quantization of $(2+1)$ Dimensional Qed with Topological Mass
Term | 27 pages | Phys.Rev. D46 (1992) 1737-1749 | 10.1103/PhysRevD.46.1737 | null | hep-th | null | We discuss the canonical quantization of Quantum Electrodynamics in $2+1$
dimensions, with a Chern-Simons topological mass term and gauge-covariant
coupling to a Dirac spinor field. A gauge-fixing term is used which generates a
canonical momentum for $A_0$, so that there are no primary constraints on
operator-valued fields. Gauss's Law and the gauge condition, $A_0=0$, are
implemented by embedding the formulation in an appropriate physical subspace,
in which state vectors remain naturally, in the course of time evolution. The
photon propagator is derived from the canonical theory. The electric and
magnetic fields are separated into parts that reflect the presence of massive
photons, and other parts that are rigidly attached to charged fermions and do
not consist of any observable, propagating particle excitations. The effect of
rotations on charged particle states is analyzed, and the relation between the
canonical and the Belinfante ``symmetric'' angular momentum is discussed. It is
shown that the rotation operator can be consistently formulated so that charged
particles behave like fermions, and do not acquire any arbitrary phases during
rotations, even when they are dressed in the electromagnetic fields required
for them to obey Gauss's law.
| [
{
"created": "Tue, 10 Mar 1992 21:52:08 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Haller",
"Kurt",
""
],
[
"Lombridas",
"Edwin",
""
]
] | We discuss the canonical quantization of Quantum Electrodynamics in $2+1$ dimensions, with a Chern-Simons topological mass term and gauge-covariant coupling to a Dirac spinor field. A gauge-fixing term is used which generates a canonical momentum for $A_0$, so that there are no primary constraints on operator-valued fields. Gauss's Law and the gauge condition, $A_0=0$, are implemented by embedding the formulation in an appropriate physical subspace, in which state vectors remain naturally, in the course of time evolution. The photon propagator is derived from the canonical theory. The electric and magnetic fields are separated into parts that reflect the presence of massive photons, and other parts that are rigidly attached to charged fermions and do not consist of any observable, propagating particle excitations. The effect of rotations on charged particle states is analyzed, and the relation between the canonical and the Belinfante ``symmetric'' angular momentum is discussed. It is shown that the rotation operator can be consistently formulated so that charged particles behave like fermions, and do not acquire any arbitrary phases during rotations, even when they are dressed in the electromagnetic fields required for them to obey Gauss's law. |
2401.04523 | Daniel Hutchings | Daniel Hutchings and Michael Ponds | Spin-$(s,j)$ projectors and gauge-invariant spin-$s$ actions in
maximally symmetric backgrounds | 69 pages; V2: typos corrected, comments and references added; V3:
published version, included new projectors in eq. (3.24) and eq. (3.86) | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Given a maximally symmetric $d$-dimensional background with isometry algebra
$\mathfrak{g}$, a symmetric and traceless rank-$s$ field $\phi_{a(s)}$
satisfying the massive Klein-Gordon equation furnishes a collection of massive
$\mathfrak{g}$-representations with spins $j\in \{0,1,\cdots,s\}$. In this
paper we construct the spin-$(s,j)$ projectors, which are operators that
isolate the part of $\phi_{a(s)}$ that furnishes the representation from this
collection carrying spin $j$. In the case of an (anti-)de Sitter ((A)dS$_d$)
background, we find that the poles of the projectors encode information about
(partially-)massless representations, in agreement with observations made
earlier in $d=3,4$. We then use these projectors to facilitate a systematic
derivation of two-derivative actions with a propagating massless spin-$s$ mode.
In addition to reproducing the massless spin-$s$ Fronsdal action, this analysis
generates new actions possessing higher-depth gauge symmetry. In (A)dS$_d$ we
also derive the action for a partially-massless spin-$s$ depth-$t$ field with
$1\leq t \leq s$. The latter utilises the minimum number of auxiliary fields,
and corresponds to the action originally proposed by Zinoviev after gauging
away all St\"{u}ckelberg fields. Some higher-derivative actions are also
presented, and in $d=3$ are used to construct (i) generalised higher-spin
Cotton tensors in (A)dS$_3$; and (ii) topologically-massive actions with
higher-depth gauge symmetry. Finally, in four-dimensional $\mathcal{N}=1$
Minkowski superspace, we provide closed-form expressions for the analogous
superprojectors.
| [
{
"created": "Tue, 9 Jan 2024 12:33:17 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2024 12:47:47 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Aug 2024 10:44:26 GMT",
"version": "v3"
}
] | 2024-08-05 | [
[
"Hutchings",
"Daniel",
""
],
[
"Ponds",
"Michael",
""
]
] | Given a maximally symmetric $d$-dimensional background with isometry algebra $\mathfrak{g}$, a symmetric and traceless rank-$s$ field $\phi_{a(s)}$ satisfying the massive Klein-Gordon equation furnishes a collection of massive $\mathfrak{g}$-representations with spins $j\in \{0,1,\cdots,s\}$. In this paper we construct the spin-$(s,j)$ projectors, which are operators that isolate the part of $\phi_{a(s)}$ that furnishes the representation from this collection carrying spin $j$. In the case of an (anti-)de Sitter ((A)dS$_d$) background, we find that the poles of the projectors encode information about (partially-)massless representations, in agreement with observations made earlier in $d=3,4$. We then use these projectors to facilitate a systematic derivation of two-derivative actions with a propagating massless spin-$s$ mode. In addition to reproducing the massless spin-$s$ Fronsdal action, this analysis generates new actions possessing higher-depth gauge symmetry. In (A)dS$_d$ we also derive the action for a partially-massless spin-$s$ depth-$t$ field with $1\leq t \leq s$. The latter utilises the minimum number of auxiliary fields, and corresponds to the action originally proposed by Zinoviev after gauging away all St\"{u}ckelberg fields. Some higher-derivative actions are also presented, and in $d=3$ are used to construct (i) generalised higher-spin Cotton tensors in (A)dS$_3$; and (ii) topologically-massive actions with higher-depth gauge symmetry. Finally, in four-dimensional $\mathcal{N}=1$ Minkowski superspace, we provide closed-form expressions for the analogous superprojectors. |
hep-th/0702158 | Hendrik Adorf | Hendrik Adorf and Michael Flohr | On the Various Types of D-Branes in the Boundary H3+ Model | v2: superseded by arXiv:0801.2711, one reference and a preamble
added; 28 pages, no figures | null | null | ITP-UH-01/07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We comment on the D-brane solutions for the boundary H3+ model that have been
proposed so far and point out that many more types of D-branes should be
considered possible. We start a systematic derivation of the 1/2- and
b^{-2}/2-shift equations corresponding to each type. These equations serve as
consistency conditions and we discuss their possible solutions. On this basis,
we show for the known AdS_2^(d) branes, that only strings transforming in
finite dimensional SL(2) representations can couple to them. Moreover, we also
demonstrate that strings in the infinite dimensional continuous SL(2)
representations do not couple consistently to the known AdS_2 branes. For some
other types, we show that no consistent solutions seem to exist at all.
| [
{
"created": "Tue, 20 Feb 2007 10:11:42 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Nov 2008 15:37:37 GMT",
"version": "v2"
}
] | 2008-11-14 | [
[
"Adorf",
"Hendrik",
""
],
[
"Flohr",
"Michael",
""
]
] | We comment on the D-brane solutions for the boundary H3+ model that have been proposed so far and point out that many more types of D-branes should be considered possible. We start a systematic derivation of the 1/2- and b^{-2}/2-shift equations corresponding to each type. These equations serve as consistency conditions and we discuss their possible solutions. On this basis, we show for the known AdS_2^(d) branes, that only strings transforming in finite dimensional SL(2) representations can couple to them. Moreover, we also demonstrate that strings in the infinite dimensional continuous SL(2) representations do not couple consistently to the known AdS_2 branes. For some other types, we show that no consistent solutions seem to exist at all. |
1109.4537 | Maciej Dunajski | Maciej Dunajski, Moritz Hoegner | SU(2) solutions to self-duality equations in eight dimensions | Dedicated to Jerzy Lukierski on the occasion of his 75th birthday.
Final version, to appear in JGP | null | 10.1016/j.geomphys.2012.03.013 | DAMTP-2011-75 | hep-th gr-qc math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the octonionic self-duality equations on eight-dimensional
manifolds of the form $M_8=M_4\times \R^4$, where $M_4$ is a hyper-K\"ahler
four-manifold. We construct explicit solutions to these equations and their
symmetry reductions to the non-abelian Seiberg-Witten equations on $M_4$ in the
case when the gauge group is SU(2). These solutions are singular for flat and
Eguchi-Hanson backgrounds. For $M_4=\R\times {\mathcal G}$ with a cohomogeneity
one hyper-K\"ahler metric, where ${\mathcal G}$ is a nilpotent (Bianchi II) Lie
group, we find a solution which is singular only on a single-sided domain wall.
This gives rise to a regular solution of the non-abelian Seiberg-Witten
equations on a four-dimensional nilpotent Lie group which carries a regular
conformally hyper-K\"ahler metric.
| [
{
"created": "Wed, 21 Sep 2011 14:25:07 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Apr 2012 15:16:42 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Dunajski",
"Maciej",
""
],
[
"Hoegner",
"Moritz",
""
]
] | We consider the octonionic self-duality equations on eight-dimensional manifolds of the form $M_8=M_4\times \R^4$, where $M_4$ is a hyper-K\"ahler four-manifold. We construct explicit solutions to these equations and their symmetry reductions to the non-abelian Seiberg-Witten equations on $M_4$ in the case when the gauge group is SU(2). These solutions are singular for flat and Eguchi-Hanson backgrounds. For $M_4=\R\times {\mathcal G}$ with a cohomogeneity one hyper-K\"ahler metric, where ${\mathcal G}$ is a nilpotent (Bianchi II) Lie group, we find a solution which is singular only on a single-sided domain wall. This gives rise to a regular solution of the non-abelian Seiberg-Witten equations on a four-dimensional nilpotent Lie group which carries a regular conformally hyper-K\"ahler metric. |
hep-th/9701153 | Shijong Ryang | Shijong Ryang | Thermal Action and Specific Heat of the Five-Dimensional Non-Extremal
Black Hole | 10 pages, latex, no figures | Phys.Lett. B402 (1997) 276-281 | 10.1016/S0370-2693(97)00436-X | null | hep-th | null | We construct the Euclidean on-shell action for the five-dimensional
non-extremal black hole with multiple electric charges. We show that this
thermal action agrees with one half of the entropy. This agreement is argued to
be related to the generalized Smarr formula of the five-dimensional black hole
mass. Through the calculation of the specific heat far off extremality we
observe that a phase transition occurs.
| [
{
"created": "Tue, 28 Jan 1997 02:12:59 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Ryang",
"Shijong",
""
]
] | We construct the Euclidean on-shell action for the five-dimensional non-extremal black hole with multiple electric charges. We show that this thermal action agrees with one half of the entropy. This agreement is argued to be related to the generalized Smarr formula of the five-dimensional black hole mass. Through the calculation of the specific heat far off extremality we observe that a phase transition occurs. |
1407.7210 | Sven Bjarke Gudnason | Sven Bjarke Gudnason, Muneto Nitta | Incarnations of Skyrmions | RevTeX: 27 pages, 8 figures; V2: reference added | Phys. Rev. D 90, 085007 (2014) | 10.1103/PhysRevD.90.085007 | NORDITA-2014-90 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Skyrmions can be transformed into lumps or baby-Skyrmions by being trapped
inside a domain wall. Here we find that they can also be transformed into
sine-Gordon kinks when confined by vortices, resulting in confined Skyrmions.
We show this both by an effective field theory approach and by direct numerical
calculations. The existence of these trapped and confined Skyrmions does not
rely on higher-derivative terms when the host solitons are flat or straight. We
also construct a Skyrmion as a twisted vortex ring in a model with a
sixth-order derivative term.
| [
{
"created": "Sun, 27 Jul 2014 10:41:57 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Oct 2014 16:09:01 GMT",
"version": "v2"
}
] | 2014-10-10 | [
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Nitta",
"Muneto",
""
]
] | Skyrmions can be transformed into lumps or baby-Skyrmions by being trapped inside a domain wall. Here we find that they can also be transformed into sine-Gordon kinks when confined by vortices, resulting in confined Skyrmions. We show this both by an effective field theory approach and by direct numerical calculations. The existence of these trapped and confined Skyrmions does not rely on higher-derivative terms when the host solitons are flat or straight. We also construct a Skyrmion as a twisted vortex ring in a model with a sixth-order derivative term. |
hep-th/9904058 | Bonnet Gabrielle | G. Bonnet | Solution of Potts-3 and Potts-\infty Matrix Models with the Equations of
Motion Method | 8 pages, submitted to Physics Letters B | Phys.Lett. B459 (1999) 575-581 | 10.1016/S0370-2693(99)00701-7 | Saclay T99/020 | hep-th | null | In this letter, we show how one can solve easily the Potts-3 + branching
interactions and Potts-\infty matrix models, by the means of the equations of
motion (loop equations). We give an algebraic equation for the resolvents of
these models, and their scaling behaviour. This shows that the equations of
motion can be a useful tool for solving such models.
| [
{
"created": "Thu, 8 Apr 1999 10:21:33 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 1999 08:42:01 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bonnet",
"G.",
""
]
] | In this letter, we show how one can solve easily the Potts-3 + branching interactions and Potts-\infty matrix models, by the means of the equations of motion (loop equations). We give an algebraic equation for the resolvents of these models, and their scaling behaviour. This shows that the equations of motion can be a useful tool for solving such models. |
hep-th/0003020 | Csaba Csaki | Csaba Csaki, Joshua Erlich and Timothy J. Hollowood | Graviton Propagators, Brane Bending and Bending of Light in Theories
with Quasi-Localized Gravity | 10 pages, LaTeX, requires JHEP.cls | Phys.Lett.B481:107-113,2000 | 10.1016/S0370-2693(00)00435-4 | null | hep-th gr-qc hep-ph | null | We derive the graviton propagator on the brane for theories with
quasi-localized gravity. In these models the ordinary 4D graviton is replaced
by a resonance in the spectrum of massive Kaluza-Klein modes, which can decay
into the extra dimension. We find that the effects of the extra polarization in
the massive graviton propagator is exactly cancelled by the bending of the
brane due to the matter sources, up to small corrections proportional to the
width of the resonance. Thus at intermediate scales the classic predictions of
Einstein's gravity are reproduced in these models to arbitrary precision.
| [
{
"created": "Fri, 3 Mar 2000 00:08:08 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Csaki",
"Csaba",
""
],
[
"Erlich",
"Joshua",
""
],
[
"Hollowood",
"Timothy J.",
""
]
] | We derive the graviton propagator on the brane for theories with quasi-localized gravity. In these models the ordinary 4D graviton is replaced by a resonance in the spectrum of massive Kaluza-Klein modes, which can decay into the extra dimension. We find that the effects of the extra polarization in the massive graviton propagator is exactly cancelled by the bending of the brane due to the matter sources, up to small corrections proportional to the width of the resonance. Thus at intermediate scales the classic predictions of Einstein's gravity are reproduced in these models to arbitrary precision. |
1001.1011 | Jiro Soda | Jiro Soda | AdS/CFT on the brane | 37 pages, 3 figures, lectures presented at the Fifth Aegean Summer
School | Lect.Notes Phys.828:235-270,2011 | 10.1007/978-3-642-04864-7_8 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is widely recognized that the AdS/CFT correspondence is a useful tool to
study strongly coupled field theories. On the other hand, Randall-Sundrum (RS)
braneworld models have been actively discussed as a novel cosmological
framework. Interestingly, the geometrical set up of braneworlds is quite
similar to that in the AdS/CFT correspondence. Hence, it is legitimate to seek
a precise relation between these two different frameworks. In this lecture, I
will explain how the AdS/CFT correspondence is related to the RS braneworld
models. There are two different versions of RS braneworlds, namely, the
single-brane model and the two-brane model. In the case of the single-brane
model, we reveal the relation between the geometrical and the AdS/CFT
correspondence approach using the gradient expansion method. It turns out that
the high energy and the Weyl term corrections found in the geometrical approach
correspond to the CFT matter correction found in the AdS/CFT correspondence
approach. In the case of two-brane system, we also show that the AdS/CFT
correspondence plays an important role in the sense that the low energy
effective field theory can be described by the conformally coupled
scalar-tensor theory where the radion plays the role of the scalar field. We
also discuss dilatonic braneworld models from the point of view of the AdS/CFT
correspondence.
| [
{
"created": "Thu, 7 Jan 2010 00:11:08 GMT",
"version": "v1"
}
] | 2011-03-31 | [
[
"Soda",
"Jiro",
""
]
] | It is widely recognized that the AdS/CFT correspondence is a useful tool to study strongly coupled field theories. On the other hand, Randall-Sundrum (RS) braneworld models have been actively discussed as a novel cosmological framework. Interestingly, the geometrical set up of braneworlds is quite similar to that in the AdS/CFT correspondence. Hence, it is legitimate to seek a precise relation between these two different frameworks. In this lecture, I will explain how the AdS/CFT correspondence is related to the RS braneworld models. There are two different versions of RS braneworlds, namely, the single-brane model and the two-brane model. In the case of the single-brane model, we reveal the relation between the geometrical and the AdS/CFT correspondence approach using the gradient expansion method. It turns out that the high energy and the Weyl term corrections found in the geometrical approach correspond to the CFT matter correction found in the AdS/CFT correspondence approach. In the case of two-brane system, we also show that the AdS/CFT correspondence plays an important role in the sense that the low energy effective field theory can be described by the conformally coupled scalar-tensor theory where the radion plays the role of the scalar field. We also discuss dilatonic braneworld models from the point of view of the AdS/CFT correspondence. |
hep-th/9704096 | Nissan Itzhaki | N. Itzhaki | Stringy Corrections to Kaluza-Klein Black Holes | 20 pages, version to appear in NPB | Nucl.Phys. B508 (1997) 700-714 | 10.1016/S0550-3213(97)00641-X | TAUP-2419-97 | hep-th | null | We consider string theory corrections to 4D black holes which solve the 5D
vacuum Einstein equations. We find that the corrections vanish only for the
extremal electric solution. We also show that for the non-extremal electric
black hole the mass corrections are related to the charge corrections. The
implications to string states counting and the correspondence principle for
black holes and strings are discussed.
| [
{
"created": "Sun, 13 Apr 1997 09:45:04 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Sep 1997 09:35:46 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Itzhaki",
"N.",
""
]
] | We consider string theory corrections to 4D black holes which solve the 5D vacuum Einstein equations. We find that the corrections vanish only for the extremal electric solution. We also show that for the non-extremal electric black hole the mass corrections are related to the charge corrections. The implications to string states counting and the correspondence principle for black holes and strings are discussed. |
hep-th/0011197 | Andrei Mirono | A.Gorsky and A.Mironov | Integrable Many-Body Systems and Gauge Theories | 134 pages, LaTeX (references added) | null | null | null | hep-th | null | The review studies connections between integrable many-body systems and gauge
theories. It is shown how the degrees of freedom in integrable systems are
related with topological degrees of freedom in gauge theories. The relations
between families of integrable systems and N=2 supersymmetric gauge theories
are described. It is explained that the degrees of freedom in the many-body
systems can be identified with collective coordinates of D-branes, solitons in
string theory.
| [
{
"created": "Wed, 22 Nov 2000 05:32:33 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Dec 2000 18:58:20 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Dec 2000 13:05:27 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Gorsky",
"A.",
""
],
[
"Mironov",
"A.",
""
]
] | The review studies connections between integrable many-body systems and gauge theories. It is shown how the degrees of freedom in integrable systems are related with topological degrees of freedom in gauge theories. The relations between families of integrable systems and N=2 supersymmetric gauge theories are described. It is explained that the degrees of freedom in the many-body systems can be identified with collective coordinates of D-branes, solitons in string theory. |
0707.0443 | Annekathrin M\"uller-Lohmann | Annekathrin M\"uller-Lohmann | On a possible interpretation of fusion in Stochastic Loewner Evolution | 7 pages, completely revised version | null | null | ITP-UH-13/07 | hep-th math-ph math.MP | null | We suggest how to give a physical interpretation of Stochastic Loewner
Evolution traces approaching a marked point in the upper half plane. We show
that this may be related to the fusion of boundary with bulk fields in
Conformal Field Theory by taking a look at the probability of such an event.
| [
{
"created": "Tue, 3 Jul 2007 15:31:03 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jan 2008 10:08:40 GMT",
"version": "v2"
}
] | 2011-11-10 | [
[
"Müller-Lohmann",
"Annekathrin",
""
]
] | We suggest how to give a physical interpretation of Stochastic Loewner Evolution traces approaching a marked point in the upper half plane. We show that this may be related to the fusion of boundary with bulk fields in Conformal Field Theory by taking a look at the probability of such an event. |
1412.6941 | Kamal Lochan Panigrahi | Sagar Biswas and Kamal L. Panigrahi | Rotating and Orbiting Strings in Dp-brane background | 27 pages | null | 10.1007/JHEP03(2015)020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We probe the open fundamental strings in Dp-brane (p=1, 3, 5) backgrounds and
find new classes of rotating and orbiting string solutions. We show that for
various worldsheet embedding ansatz we get solutions of the string equations of
motion that correspond to the well known giant magnon and single spikes, in
addition to few new solutions corresponding to the orbiting strings. We make a
systematic study of both rigidly rotating and orbiting strings in D1, D3 and
D5-brane backgrounds.
| [
{
"created": "Mon, 22 Dec 2014 11:54:56 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Biswas",
"Sagar",
""
],
[
"Panigrahi",
"Kamal L.",
""
]
] | We probe the open fundamental strings in Dp-brane (p=1, 3, 5) backgrounds and find new classes of rotating and orbiting string solutions. We show that for various worldsheet embedding ansatz we get solutions of the string equations of motion that correspond to the well known giant magnon and single spikes, in addition to few new solutions corresponding to the orbiting strings. We make a systematic study of both rigidly rotating and orbiting strings in D1, D3 and D5-brane backgrounds. |
2308.10010 | Jae-Hyuk Oh | Jun Hyeok Lee and Jae-Hyuk Oh | Stochastic quantization and holographic Wilsonian renormalization group
of conformally coupled scalar in AdS$_{4}$ | 17+1 pages | null | 10.1007/s40042-023-00926-3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we explore the relationship between holographic Wilsonian
renormalization groups and stochastic quantization in conformally coupled
scalar theory in AdS$_{4}$. The relationship between these two different
frameworks is firstly proposed in arXiv:1209.2242 and tested in various free
theories. However, research on the theory with interactions has recently begun.
In this paper, we show that the stochastic four-point function obtained by the
Langevin equation is completely captured by the holographic quadruple trace
deformation when the Euclidean action $S_{E}$ is given by $S_{E}=-2I_{os}$
where $I_{os}$ is the holographic on-shell action in the conformally coupled
scalar theory in AdS$_{4},$ together with a condition that the stochastic
fictitious time $t$ is also identified with AdS radial variable $r$. We
extensively explore a case that the boundary condition on the conformal
boundary is Dirichlet boundary condition, and in that case, the stochastic
three-point function trivially vanishes. This agrees with that the holographic
triple trace deformation vanishes when Dirichlet boundary condition is applied
on the conformal boundary.
| [
{
"created": "Sat, 19 Aug 2023 13:26:28 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Nov 2023 10:16:12 GMT",
"version": "v2"
}
] | 2023-11-15 | [
[
"Lee",
"Jun Hyeok",
""
],
[
"Oh",
"Jae-Hyuk",
""
]
] | In this paper, we explore the relationship between holographic Wilsonian renormalization groups and stochastic quantization in conformally coupled scalar theory in AdS$_{4}$. The relationship between these two different frameworks is firstly proposed in arXiv:1209.2242 and tested in various free theories. However, research on the theory with interactions has recently begun. In this paper, we show that the stochastic four-point function obtained by the Langevin equation is completely captured by the holographic quadruple trace deformation when the Euclidean action $S_{E}$ is given by $S_{E}=-2I_{os}$ where $I_{os}$ is the holographic on-shell action in the conformally coupled scalar theory in AdS$_{4},$ together with a condition that the stochastic fictitious time $t$ is also identified with AdS radial variable $r$. We extensively explore a case that the boundary condition on the conformal boundary is Dirichlet boundary condition, and in that case, the stochastic three-point function trivially vanishes. This agrees with that the holographic triple trace deformation vanishes when Dirichlet boundary condition is applied on the conformal boundary. |
hep-th/0608194 | Farhang Loran | Farhang Loran | Kahler quantization of H*(T2,R) and modular forms | 9 pages, 1 figure | J.Math.Phys.48:112301,2007 | 10.1063/1.2815816 | null | hep-th | null | Kahler quantization of H1(T2,R) is studied. It is shown that this theory
corresponds to a fermionic sigma-model targeting a noncommutative space. By
solving the complex-structure moduli independence conditions, the quantum
background independent wave function is obtained. We study the transformation
of the wave function under modular transformation. It is shown that the
transformation rule is characteristic to the operator ordering. Similar results
are obtained for Kahler quantization of H2(T,R).
| [
{
"created": "Sun, 27 Aug 2006 07:16:26 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2007 10:45:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Loran",
"Farhang",
""
]
] | Kahler quantization of H1(T2,R) is studied. It is shown that this theory corresponds to a fermionic sigma-model targeting a noncommutative space. By solving the complex-structure moduli independence conditions, the quantum background independent wave function is obtained. We study the transformation of the wave function under modular transformation. It is shown that the transformation rule is characteristic to the operator ordering. Similar results are obtained for Kahler quantization of H2(T,R). |
1305.4927 | Roman Buniy | Roman V. Buniy, Thomas W. Kephart | Generalized helicity and Beltrami fields | 22 pages | Annals of Physics 344 (2014) 179-193 | 10.1016/j.aop.2014.02.014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose covariant and non-abelian generalizations of the magnetic helicity
and Beltrami equation. The gauge invariance, variational principle, conserved
current, energy-momentum tensor and choice of boundary conditions elucidate the
subject. In particular, we prove that any extremal of the Yang-Mills action
functional $\tfrac{1}{4}\int_\Omega\tr{F_{\mu\nu}F^{\mu\nu}}\,d^4x$ subject to
the local constraint
$\epsilon^{\mu\nu\alpha\beta}\tr{F_{\mu\nu}F_{\alpha\beta}}=0$ satisfies the
covariant non-abelian Beltrami equation.
| [
{
"created": "Tue, 21 May 2013 19:50:04 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Buniy",
"Roman V.",
""
],
[
"Kephart",
"Thomas W.",
""
]
] | We propose covariant and non-abelian generalizations of the magnetic helicity and Beltrami equation. The gauge invariance, variational principle, conserved current, energy-momentum tensor and choice of boundary conditions elucidate the subject. In particular, we prove that any extremal of the Yang-Mills action functional $\tfrac{1}{4}\int_\Omega\tr{F_{\mu\nu}F^{\mu\nu}}\,d^4x$ subject to the local constraint $\epsilon^{\mu\nu\alpha\beta}\tr{F_{\mu\nu}F_{\alpha\beta}}=0$ satisfies the covariant non-abelian Beltrami equation. |
1612.08065 | Sergio Cecotti | Matteo Caorsi and Sergio Cecotti | Homological S-Duality in 4d N=2 QFTs | 102 pages, 12 figure, 6 tables | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $S$-duality group $\mathbb{S}(\mathcal{F})$ of a 4d $\mathcal{N}=2$
supersymmetric theory $\mathcal{F}$ is identified with the group of triangle
auto-equivalences of its cluster category $\mathscr{C}(\mathcal{F})$ modulo the
subgroup acting trivially on the physical quantities. $\mathbb{S}(\mathcal{F})$
is a discrete group commensurable to a subgroup of the Siegel modular group
$Sp(2g,\mathbb{Z})$ ($g$ being the dimension of the Coulomb branch). This
identification reduces the determination of the $S$-duality group of a given
$\mathcal{N}=2$ theory to a problem in homological algebra. In this paper we
describe the techniques which make the computation straightforward for a large
class of $\mathcal{N}=2$ QFTs. The group $\mathbb{S}(\mathcal{F})$ is naturally
presented as a generalized braid group.
The $S$-duality groups are often larger than expected. In some models the
enhancement of $S$-duality is quite spectacular. For instance, a QFT with a
huge $S$-duality group is the Lagrangian SCFT with gauge group $SO(8)\times
SO(5)^3\times SO(3)^6$ and half-hypermultiplets in the bi- and tri-spinor
representations.
We focus on four families of examples: the $\mathcal{N}=2$ SCFTs of the form
$(G,G^\prime)$, $D_p(G)$, and $E_r^{(1,1)}(G)$, as well as the
asymptotically-free theories $(G,\widehat{H})$ (which contain $\mathcal{N}=2$
SQCD as a special case). For the $E_r^{(1,1)}(G)$ models we confirm the
presence of the $PSL(2,\mathbb{Z})$ $S$-duality group predicted by Del Zotto,
Vafa and Xie, but for most models in this class $S$-duality gets enhanced to a
much larger group.
| [
{
"created": "Fri, 23 Dec 2016 19:14:38 GMT",
"version": "v1"
}
] | 2016-12-26 | [
[
"Caorsi",
"Matteo",
""
],
[
"Cecotti",
"Sergio",
""
]
] | The $S$-duality group $\mathbb{S}(\mathcal{F})$ of a 4d $\mathcal{N}=2$ supersymmetric theory $\mathcal{F}$ is identified with the group of triangle auto-equivalences of its cluster category $\mathscr{C}(\mathcal{F})$ modulo the subgroup acting trivially on the physical quantities. $\mathbb{S}(\mathcal{F})$ is a discrete group commensurable to a subgroup of the Siegel modular group $Sp(2g,\mathbb{Z})$ ($g$ being the dimension of the Coulomb branch). This identification reduces the determination of the $S$-duality group of a given $\mathcal{N}=2$ theory to a problem in homological algebra. In this paper we describe the techniques which make the computation straightforward for a large class of $\mathcal{N}=2$ QFTs. The group $\mathbb{S}(\mathcal{F})$ is naturally presented as a generalized braid group. The $S$-duality groups are often larger than expected. In some models the enhancement of $S$-duality is quite spectacular. For instance, a QFT with a huge $S$-duality group is the Lagrangian SCFT with gauge group $SO(8)\times SO(5)^3\times SO(3)^6$ and half-hypermultiplets in the bi- and tri-spinor representations. We focus on four families of examples: the $\mathcal{N}=2$ SCFTs of the form $(G,G^\prime)$, $D_p(G)$, and $E_r^{(1,1)}(G)$, as well as the asymptotically-free theories $(G,\widehat{H})$ (which contain $\mathcal{N}=2$ SQCD as a special case). For the $E_r^{(1,1)}(G)$ models we confirm the presence of the $PSL(2,\mathbb{Z})$ $S$-duality group predicted by Del Zotto, Vafa and Xie, but for most models in this class $S$-duality gets enhanced to a much larger group. |
1810.13366 | Sergey Fedoruk | Sergey Fedoruk, Evgeny Ivanov | Multiparticle $\mathcal{N}{=}\,8$ mechanics with $F(4)$ superconformal
symmetry | 1 + 23 pages, v2: minor corrections, new references and
acknowledgements added | null | 10.1016/j.nuclphysb.2018.12.009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new multiparticle model of $\mathcal{N}{=}\,8$ mechanics with
superconformal $F(4)$ symmetry. The system is constructed in terms of two
matrix $\mathcal{N}{=}\,4$ multiplets. One of them is a bosonic matrix $({\bf
1, 4, 3})$ multiplet and another is a fermionic $({\bf 0, 4, 4})$ one.
Off-diagonal bosonic components of the $({\bf 1, 4, 3})$ multiplet are chosen
to take values in the flag manifold $\mathrm{U}(n)/[\mathrm{U}(1)]^n$ and they
carry additional gauge symmetries. The explicit form of the $F(4)$
supersymmetry generators is found. We demonstrate that the $F(4)$ superalgebra
constructed contains as subalgebras two different $D(2,1;\alpha\,{=}{-}1/3)$
superalgebras intersecting over the common $sl(2,\mathbb{R})\oplus su(2)$
subalgebra.
| [
{
"created": "Wed, 31 Oct 2018 16:02:28 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Nov 2018 14:27:18 GMT",
"version": "v2"
}
] | 2018-12-26 | [
[
"Fedoruk",
"Sergey",
""
],
[
"Ivanov",
"Evgeny",
""
]
] | We present a new multiparticle model of $\mathcal{N}{=}\,8$ mechanics with superconformal $F(4)$ symmetry. The system is constructed in terms of two matrix $\mathcal{N}{=}\,4$ multiplets. One of them is a bosonic matrix $({\bf 1, 4, 3})$ multiplet and another is a fermionic $({\bf 0, 4, 4})$ one. Off-diagonal bosonic components of the $({\bf 1, 4, 3})$ multiplet are chosen to take values in the flag manifold $\mathrm{U}(n)/[\mathrm{U}(1)]^n$ and they carry additional gauge symmetries. The explicit form of the $F(4)$ supersymmetry generators is found. We demonstrate that the $F(4)$ superalgebra constructed contains as subalgebras two different $D(2,1;\alpha\,{=}{-}1/3)$ superalgebras intersecting over the common $sl(2,\mathbb{R})\oplus su(2)$ subalgebra. |
hep-th/0510249 | Hyun Seok Yang | Mario Salizzoni, Alessandro Torrielli and Hyun Seok Yang | ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten
map | 15 pages, Latex; Comment on commutative limit is added and a small
mistake in section 4 is corrected | Phys.Lett. B634 (2006) 427-433 | 10.1016/j.physletb.2006.01.072 | HU-EP-05/65 | hep-th gr-qc | null | The exact Seiberg-Witten (SW) map of a noncommutative (NC) gauge theory gives
the commutative equivalent as an ordinary gauge theory coupled to a field
dependent effective metric. We study instanton solutions of this commutative
equivalent whose self-duality equation turns out to be the exact SW map of NC
instantons. We derive general differential equations governing U(1) instantons
and we explicitly get an exact solution corresponding to the single NC
instanton. Remarkably the effective metric induced by the single U(1) instanton
is related to the Eguchi-Hanson metric - the simplest gravitational instanton.
Surprisingly the instanton number is not quantized but depends on an
integration constant. Our result confirms the expected non-perturbative
breakdown of the SW map. However, the breakdown of the map arises in a
consistent way: The instanton number plays the role of a parameter giving rise
to a one-parameter family of Eguchi-Hanson metrics.
| [
{
"created": "Fri, 28 Oct 2005 15:44:48 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2005 15:09:59 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Dec 2005 11:08:27 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Salizzoni",
"Mario",
""
],
[
"Torrielli",
"Alessandro",
""
],
[
"Yang",
"Hyun Seok",
""
]
] | The exact Seiberg-Witten (SW) map of a noncommutative (NC) gauge theory gives the commutative equivalent as an ordinary gauge theory coupled to a field dependent effective metric. We study instanton solutions of this commutative equivalent whose self-duality equation turns out to be the exact SW map of NC instantons. We derive general differential equations governing U(1) instantons and we explicitly get an exact solution corresponding to the single NC instanton. Remarkably the effective metric induced by the single U(1) instanton is related to the Eguchi-Hanson metric - the simplest gravitational instanton. Surprisingly the instanton number is not quantized but depends on an integration constant. Our result confirms the expected non-perturbative breakdown of the SW map. However, the breakdown of the map arises in a consistent way: The instanton number plays the role of a parameter giving rise to a one-parameter family of Eguchi-Hanson metrics. |
0805.2203 | Tsuguhiko Asakawa | Tsuguhiko Asakawa, Masashi Mori, Satoshi Watamura | Hopf Algebra Symmetry and String Theory | 35 pages, no figure, v2: references and comments added, typos
corrected, v3: requires PTP style, title changed, final version published in
PTP | Prog. Theor. Phys. 120 (2008) 659-689 | 10.1143/PTP.120.659 | TU-789 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the Hopf algebra structure in string worldsheet theory and
give a unified formulation of the quantization of string and the space-time
symmetry. We reformulate the path integral quantization of string as a Drinfeld
twist at the worldsheet level. The coboundary relation shows that the Drinfeld
twist defines a module algebra which is equivalent to operators with normal
ordering. Upon applying the twist, the space-time diffeomorphism is deformed
into a twisted Hopf algebra, while the Poincar\'e symmetry is unchanged. This
suggests a characterization of the symmetry: unbroken symmetries are twist
invariant Hopf subalgebras, while broken symmetries are realized as twisted
ones. We provide arguments that relate this twisted Hopf algebra to symmetries
in path integral quantization.
| [
{
"created": "Thu, 15 May 2008 03:09:10 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 2008 15:16:30 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Nov 2008 07:12:53 GMT",
"version": "v3"
}
] | 2008-11-04 | [
[
"Asakawa",
"Tsuguhiko",
""
],
[
"Mori",
"Masashi",
""
],
[
"Watamura",
"Satoshi",
""
]
] | We investigate the Hopf algebra structure in string worldsheet theory and give a unified formulation of the quantization of string and the space-time symmetry. We reformulate the path integral quantization of string as a Drinfeld twist at the worldsheet level. The coboundary relation shows that the Drinfeld twist defines a module algebra which is equivalent to operators with normal ordering. Upon applying the twist, the space-time diffeomorphism is deformed into a twisted Hopf algebra, while the Poincar\'e symmetry is unchanged. This suggests a characterization of the symmetry: unbroken symmetries are twist invariant Hopf subalgebras, while broken symmetries are realized as twisted ones. We provide arguments that relate this twisted Hopf algebra to symmetries in path integral quantization. |
1106.0724 | Jan Plefka | George Georgiou, Valeria Gili and Jan Plefka | The two-loop dilatation operator of N=4 super Yang-Mills theory in the
SO(6) sector | 16 pages, 5 figures | null | 10.1007/JHEP12(2011)075 | HU-EP-11/25, QMUL-PH-11-09, NSF-KITP-11-101 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dilatation operator of planar N=4 super Yang-Mills in the pure scalar
SO(6) sector is derived at the two-loop order. Representation theory allows for
eight free coefficients in an ansatz for the corresponding spin-chain
hamiltonian acting on three adjacent scalar states. While four out of these
follow from the known SU(2|3) sector two-loop dilatation operator, the
remaining four coefficients are derived by diagrammatic techniques and a match
to the known dimension of a length three primary operator. Finally, comments
upon the use of this result for the evaluation of three-point structure
functions of scalar operators at the one-loop order are given.
| [
{
"created": "Fri, 3 Jun 2011 18:44:31 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Georgiou",
"George",
""
],
[
"Gili",
"Valeria",
""
],
[
"Plefka",
"Jan",
""
]
] | The dilatation operator of planar N=4 super Yang-Mills in the pure scalar SO(6) sector is derived at the two-loop order. Representation theory allows for eight free coefficients in an ansatz for the corresponding spin-chain hamiltonian acting on three adjacent scalar states. While four out of these follow from the known SU(2|3) sector two-loop dilatation operator, the remaining four coefficients are derived by diagrammatic techniques and a match to the known dimension of a length three primary operator. Finally, comments upon the use of this result for the evaluation of three-point structure functions of scalar operators at the one-loop order are given. |
1805.05967 | Nozomu Kobayashi | Nozomu Kobayashi, Tatsuma Nishioka | Spinning conformal defects | 36 pages, v2: minor corrections, a reference and notes added, v3:
typos corrected | null | 10.1007/JHEP09(2018)134 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider conformal defects with spins under the rotation group acting on
the transverse directions. They are described in the embedding space formalism
in a similar manner to spinning local operators, and their correlation
functions with bulk and defect local operators are determined by the conformal
symmetry. The operator product expansion (OPE) structure of spinning conformal
defects is examined by decomposing it into the spinning defect OPE block that
packages all the contribution from a conformal multiplet. The integral
representation of the block derived in the shadow formalism is facilitated to
deduce recursion relations for correlation functions of two spinning conformal
defects. In simple cases, we construct spinning defect correlators by acting
differential operators recursively on scalar defect correlators.
| [
{
"created": "Tue, 15 May 2018 18:00:47 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jun 2018 06:09:35 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Dec 2019 03:13:01 GMT",
"version": "v3"
}
] | 2019-12-30 | [
[
"Kobayashi",
"Nozomu",
""
],
[
"Nishioka",
"Tatsuma",
""
]
] | We consider conformal defects with spins under the rotation group acting on the transverse directions. They are described in the embedding space formalism in a similar manner to spinning local operators, and their correlation functions with bulk and defect local operators are determined by the conformal symmetry. The operator product expansion (OPE) structure of spinning conformal defects is examined by decomposing it into the spinning defect OPE block that packages all the contribution from a conformal multiplet. The integral representation of the block derived in the shadow formalism is facilitated to deduce recursion relations for correlation functions of two spinning conformal defects. In simple cases, we construct spinning defect correlators by acting differential operators recursively on scalar defect correlators. |
2209.00011 | Evan McDonough | Evan McDonough, Marco Scalisi | Towards Early Dark Energy in String Theory | null | null | null | MPP-2022-112 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Early Dark Energy (EDE) is a prominent model to resolve the Hubble tension,
which employs a dynamical axion with a periodic potential. In this work, we
take first steps towards the embedding of this model into stable
compactifications of string theory. First, we provide a pedagogical review of
the EDE scenario and its main challenges. Second, we construct a simple
supergravity toy model using only minimal ingredients. Already at this level,
we can understand the origin of the harmonics of the EDE scalar potential in
terms of a delicate balance of the leading terms from separate non-perturbative
effects. Third and final, we embed the model into a KKLT-type compactification,
with the EDE scalar field realized by a two-form axion. We find that a
successful embedding, with all moduli stabilized, requires restrictive
assumptions both on the Pfaffians and on the exponents of the non-perturbative
terms responsible for the EDE dynamics. We point out that such non-generic
conditions reflect well known challenges of the EDE model and further
investigation might guide us towards a conclusive resolution.
| [
{
"created": "Wed, 31 Aug 2022 18:00:00 GMT",
"version": "v1"
}
] | 2022-09-02 | [
[
"McDonough",
"Evan",
""
],
[
"Scalisi",
"Marco",
""
]
] | Early Dark Energy (EDE) is a prominent model to resolve the Hubble tension, which employs a dynamical axion with a periodic potential. In this work, we take first steps towards the embedding of this model into stable compactifications of string theory. First, we provide a pedagogical review of the EDE scenario and its main challenges. Second, we construct a simple supergravity toy model using only minimal ingredients. Already at this level, we can understand the origin of the harmonics of the EDE scalar potential in terms of a delicate balance of the leading terms from separate non-perturbative effects. Third and final, we embed the model into a KKLT-type compactification, with the EDE scalar field realized by a two-form axion. We find that a successful embedding, with all moduli stabilized, requires restrictive assumptions both on the Pfaffians and on the exponents of the non-perturbative terms responsible for the EDE dynamics. We point out that such non-generic conditions reflect well known challenges of the EDE model and further investigation might guide us towards a conclusive resolution. |
hep-th/9206089 | Francois Gieres | Jean-Pierre Ader, Francois Gieres and Yves Noirot | Relating Weyl and diffeomorphism anomalies on super Riemann surfaces | (LATEX, 18 pages), MPI-Ph/92-38, LPTB 92-6 | Class.Quant.Grav.10:1-18,1993 | 10.1088/0264-9381/10/1/005 | null | hep-th | null | Starting from the Wess-Zumino action associated to the super Weyl anomaly, we
determine the local counterterm which allows to pass from this anomaly to the
chirally split superdiffeomorphism anomaly (as defined on a compact super
Riemann surface without boundary). The counterterm involves the graded
extension of the Verlinde functional and the results can be applied to the
study of holomorphic factorization of partition functions in superconformal
field theory.
| [
{
"created": "Tue, 23 Jun 1992 23:00:06 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Ader",
"Jean-Pierre",
""
],
[
"Gieres",
"Francois",
""
],
[
"Noirot",
"Yves",
""
]
] | Starting from the Wess-Zumino action associated to the super Weyl anomaly, we determine the local counterterm which allows to pass from this anomaly to the chirally split superdiffeomorphism anomaly (as defined on a compact super Riemann surface without boundary). The counterterm involves the graded extension of the Verlinde functional and the results can be applied to the study of holomorphic factorization of partition functions in superconformal field theory. |
1605.09396 | {\DJ}or{\dj}e Radi\v{c}evi\'c | Djordje Radicevic | Entanglement Entropy and Duality | 20 pages; v2: typos corrected, minimal edits for clarity | null | null | SU-ITP-16/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the algebraic approach to entanglement entropy, we study several dual
pairs of lattice theories and show how the entropy is completely preserved
across each duality. Our main result is that a maximal algebra of observables
in a region typically dualizes to a non-maximal algebra in a dual region. In
particular, we show how the usual notion of tracing out external degrees of
freedom dualizes to a tracing out coupled to an additional summation over
superselection sectors. We briefly comment on possible extensions of our
results to more intricate dualities, including holographic ones.
| [
{
"created": "Mon, 30 May 2016 20:00:32 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 2016 19:16:57 GMT",
"version": "v2"
}
] | 2016-08-26 | [
[
"Radicevic",
"Djordje",
""
]
] | Using the algebraic approach to entanglement entropy, we study several dual pairs of lattice theories and show how the entropy is completely preserved across each duality. Our main result is that a maximal algebra of observables in a region typically dualizes to a non-maximal algebra in a dual region. In particular, we show how the usual notion of tracing out external degrees of freedom dualizes to a tracing out coupled to an additional summation over superselection sectors. We briefly comment on possible extensions of our results to more intricate dualities, including holographic ones. |
hep-th/0008194 | Ilka Brunner | Ilka Brunner and Volker Schomerus | On Superpotentials for D-Branes in Gepner Models | 33 pages, 2 figures | JHEP 0010 (2000) 016 | 10.1088/1126-6708/2000/10/016 | null | hep-th | null | A large class of D-branes in Calabi-Yau spaces can be constructed at the
Gepner points using the techniques of boundary conformal field theory. In this
note we develop methods that allow to compute open string amplitudes for such
D-branes. In particular, we present explicit formulas for the products of open
string vertex operators of untwisted A-type branes. As an application we show
that the boundary theories of the quintic associated with the special
Lagrangian submanifolds Im \omega_i z_i = 0 where \omega_i^5=1 possess no
continuous moduli.
| [
{
"created": "Thu, 24 Aug 2000 21:42:48 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Brunner",
"Ilka",
""
],
[
"Schomerus",
"Volker",
""
]
] | A large class of D-branes in Calabi-Yau spaces can be constructed at the Gepner points using the techniques of boundary conformal field theory. In this note we develop methods that allow to compute open string amplitudes for such D-branes. In particular, we present explicit formulas for the products of open string vertex operators of untwisted A-type branes. As an application we show that the boundary theories of the quintic associated with the special Lagrangian submanifolds Im \omega_i z_i = 0 where \omega_i^5=1 possess no continuous moduli. |
1408.2229 | Tin Sulejmanpasic | Falk. Bruckmann and Tin Sulejmanpasic | Nonlinear sigma models at nonzero chemical potential: breaking up
instantons and the phase diagram | 12 pages, 3 figures. References and minor changes updated in this
version | Phys. Rev. D 90, 105010 (2014) | 10.1103/PhysRevD.90.105010 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider asymptotically free nonlinear sigma models in two dimensions
which, due to their internal symmetries, allow for a conserved charge.
Introducing nonzero chemical potential for the SO(2) subgroup of the symmetry
group, we discuss two expected phase transitions, which are related to charge
condensation and percolation of merons, respectively. The latter are
topological objects with half integer charge similar to vortices in the
abelianized \emph{O(2)} theory, that emerge for large chemical potentials due
to the suppression of the complementary field components. We conjecture a
particular ordering of these transitions supported by large N calculations, and
discuss dualities helpful for the understanding of these systems in the
continuum and on the lattice. In conclusion we suggest that similar behavior is
to be expected in QCD at finite density.
| [
{
"created": "Sun, 10 Aug 2014 14:14:21 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Sep 2014 12:18:14 GMT",
"version": "v2"
}
] | 2014-11-19 | [
[
"Bruckmann",
"Falk.",
""
],
[
"Sulejmanpasic",
"Tin",
""
]
] | We consider asymptotically free nonlinear sigma models in two dimensions which, due to their internal symmetries, allow for a conserved charge. Introducing nonzero chemical potential for the SO(2) subgroup of the symmetry group, we discuss two expected phase transitions, which are related to charge condensation and percolation of merons, respectively. The latter are topological objects with half integer charge similar to vortices in the abelianized \emph{O(2)} theory, that emerge for large chemical potentials due to the suppression of the complementary field components. We conjecture a particular ordering of these transitions supported by large N calculations, and discuss dualities helpful for the understanding of these systems in the continuum and on the lattice. In conclusion we suggest that similar behavior is to be expected in QCD at finite density. |
2005.01048 | Mitsutoshi Fujita | Mitsutoshi Fujita, Song He, and Yuan Sun | Thermodynamical property of entanglement entropy and deconfinement phase
transition | 25 pages, 5 figures; v2 minor changes, references added | Phys. Rev. D 102, 126019 (2020) | 10.1103/PhysRevD.102.126019 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the holographic entanglement entropy in a soliton background with
Wilson lines and derive a relation analogous to the first law of
thermodynamics. The confinement/deconfinement phase transition occurs due to
the competition of two minimal surfaces. The entropic c function probes the
confinement/deconfinement phase transition. It is sensitive to the degrees of
freedom (DOF) smaller than the size of a spatial circle. When the Wilson line
becomes large, the entropic c function becomes non-monotonic as a function of
the size and does not satisfy the usual c-theorem. We analyze the entanglement
entropy for a small subregion and the relation analogous to the first law of
thermodynamics. For the small amount of Wilson lines, the excited amount of the
entanglement entropy decreases from the ground state. It reflects that
confinement decreases degrees of freedom. We finally discuss the second order
correction of the holographic entanglement entropy.
| [
{
"created": "Sun, 3 May 2020 10:57:11 GMT",
"version": "v1"
},
{
"created": "Sat, 16 May 2020 11:13:05 GMT",
"version": "v2"
}
] | 2021-01-04 | [
[
"Fujita",
"Mitsutoshi",
""
],
[
"He",
"Song",
""
],
[
"Sun",
"Yuan",
""
]
] | We analyze the holographic entanglement entropy in a soliton background with Wilson lines and derive a relation analogous to the first law of thermodynamics. The confinement/deconfinement phase transition occurs due to the competition of two minimal surfaces. The entropic c function probes the confinement/deconfinement phase transition. It is sensitive to the degrees of freedom (DOF) smaller than the size of a spatial circle. When the Wilson line becomes large, the entropic c function becomes non-monotonic as a function of the size and does not satisfy the usual c-theorem. We analyze the entanglement entropy for a small subregion and the relation analogous to the first law of thermodynamics. For the small amount of Wilson lines, the excited amount of the entanglement entropy decreases from the ground state. It reflects that confinement decreases degrees of freedom. We finally discuss the second order correction of the holographic entanglement entropy. |
hep-th/0101017 | Alon Marcus | Alon Marcus | Superconformal Mechanics and the Super Virasoro Algebra | Latex, 12 pages, references added, a minor correction | JHEP 0102 (2001) 043 | 10.1088/1126-6708/2001/02/043 | Tel Aviv University TAUP-2656-2000 | hep-th | null | We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if
the Hamiltonian is invertible the superconformal generators can be used to
construct half of the super Virasoro algebra. The full algebra can be derived
if the special conformal generator is also invertible. The generators are
quantized and a general prescription is given for the construction of the N=1
algebra independently of the specific details of the superconformal mechanics
provided that in addition its quadratic Casimir operator vanishes.
| [
{
"created": "Tue, 2 Jan 2001 08:57:53 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2001 12:07:11 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Marcus",
"Alon",
""
]
] | We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if the Hamiltonian is invertible the superconformal generators can be used to construct half of the super Virasoro algebra. The full algebra can be derived if the special conformal generator is also invertible. The generators are quantized and a general prescription is given for the construction of the N=1 algebra independently of the specific details of the superconformal mechanics provided that in addition its quadratic Casimir operator vanishes. |
1910.04888 | Azadeh Mohammadi | E. A. F. Bragan\c{c}a, E. R. Bezerra de Mello, A. Mohammadi | Induced Fermionic vacuum polarization in dS spacetime with a
compactified cosmic string | 27 pages, 4 figures, accepted for publication in PRD | Phys. Rev. D 101, 045019 (2020) | 10.1103/PhysRevD.101.045019 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the fermionic condensate (FC) and the vacuum expectation value (VEV)
of the energy-momentum tensor for a massive spinor field in the de Sitter (dS)
spacetime including an ideal cosmic string. In addition, spatial dimension
along the string is compactified to a circle of length $L$. The fermionic field
is assumed to obey quasi-periodic condition along the $z$-axis. There are also
magnetic fluxes running along the cosmic string and enclosed by the compact
dimension. Both, the FC and the VEV of the energy-momentum tensor, are
decomposed into two parts: one induced by the cosmic string in dS spacetime
considering the absence of the compactification, and another one induced by the
compactification. In particular, we show that the FC vanishes for a massless
fermionic field.
| [
{
"created": "Thu, 10 Oct 2019 21:47:12 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2020 11:48:38 GMT",
"version": "v2"
}
] | 2020-03-04 | [
[
"Bragança",
"E. A. F.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Mohammadi",
"A.",
""
]
] | We study the fermionic condensate (FC) and the vacuum expectation value (VEV) of the energy-momentum tensor for a massive spinor field in the de Sitter (dS) spacetime including an ideal cosmic string. In addition, spatial dimension along the string is compactified to a circle of length $L$. The fermionic field is assumed to obey quasi-periodic condition along the $z$-axis. There are also magnetic fluxes running along the cosmic string and enclosed by the compact dimension. Both, the FC and the VEV of the energy-momentum tensor, are decomposed into two parts: one induced by the cosmic string in dS spacetime considering the absence of the compactification, and another one induced by the compactification. In particular, we show that the FC vanishes for a massless fermionic field. |
hep-th/9607160 | Maria Barbaro | M.B.Barbaro, A.Molinari and F. Palumbo | Bosonization and even Grassmann variables | 20 pages, LaTex | Nucl.Phys. B487 (1997) 492-512 | 10.1016/S0550-3213(96)00701-8 | LNF-96/029 | hep-th nucl-th | null | A new approach to bosonization in relativistic field theories and many-body
systems, based on the use of fermionic composites as integration variables in
the Berezin integral defining the partition function of the system, is tested.
The method is applied to the study of a simplified version of the BCS model.
| [
{
"created": "Thu, 18 Jul 1996 15:51:21 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Barbaro",
"M. B.",
""
],
[
"Molinari",
"A.",
""
],
[
"Palumbo",
"F.",
""
]
] | A new approach to bosonization in relativistic field theories and many-body systems, based on the use of fermionic composites as integration variables in the Berezin integral defining the partition function of the system, is tested. The method is applied to the study of a simplified version of the BCS model. |
hep-th/9504105 | null | G. Grignani, G. Semenoff, P. Sodano | Confinement-Deconfinement Transition in 3-Dimensional QED | 11 pages, latex, no figures | Phys.Rev. D53 (1996) 7157-7161 | 10.1103/PhysRevD.53.7157 | DFUPG 100-95 | hep-th | null | We argue that, at finite temperature, parity invariant non-compact
electrodynamics with massive electrons in 2+1 dimensions can exist in both
confined and deconfined phases. We show that an order parameter for the
confinement-deconfinement phase transition is the Polyakov loop operator whose
average measures the free energy of a test charge that is not an integral
multiple of the electron charge. The effective field theory for the Polyakov
loop operator is a 2-dimensional Euclidean scalar field theory with a global
discrete symmetry $Z$, the additive group of the integers. We argue that the
realization of this symmetry governs confinement and that the
confinement-deconfinement phase transition is of
Berezinskii-Kosterlitz-Thouless type. We compute the effective action to
one-loop order and argue that when the electron mass $m$ is much greater than
the temperature $T$ and dimensional coupling $e^2$, the effective field theory
is the Sine-Gordon model. In this limit, we estimate the critical temperature,
$T_{\rm crit.}=e^2/8\pi(1-e^2/12\pi m+\ldots)$.
| [
{
"created": "Thu, 20 Apr 1995 19:18:11 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Grignani",
"G.",
""
],
[
"Semenoff",
"G.",
""
],
[
"Sodano",
"P.",
""
]
] | We argue that, at finite temperature, parity invariant non-compact electrodynamics with massive electrons in 2+1 dimensions can exist in both confined and deconfined phases. We show that an order parameter for the confinement-deconfinement phase transition is the Polyakov loop operator whose average measures the free energy of a test charge that is not an integral multiple of the electron charge. The effective field theory for the Polyakov loop operator is a 2-dimensional Euclidean scalar field theory with a global discrete symmetry $Z$, the additive group of the integers. We argue that the realization of this symmetry governs confinement and that the confinement-deconfinement phase transition is of Berezinskii-Kosterlitz-Thouless type. We compute the effective action to one-loop order and argue that when the electron mass $m$ is much greater than the temperature $T$ and dimensional coupling $e^2$, the effective field theory is the Sine-Gordon model. In this limit, we estimate the critical temperature, $T_{\rm crit.}=e^2/8\pi(1-e^2/12\pi m+\ldots)$. |
1702.08071 | Mirjam Cvetic | Volker Braun, Mirjam Cvetic, Ron Donagi, Maximilian Poretschkin | Type II String Theory on Calabi-Yau Manifolds with Torsion and
Non-Abelian Discrete Gauge Symmetries | 17 pages | null | 10.1007/JHEP07(2017)129 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide the first explicit example of Type IIB string theory
compactification on a globally defined Calabi-Yau threefold with torsion which
results in a four-dimensional effective theory with a non-Abelian discrete
gauge symmetry. Our example is based on a particular Calabi-Yau manifold, the
quotient of a product of three elliptic curves by a fixed point free action of
Z_2 x Z_2. Its cohomology contains torsion classes in various degrees. The main
technical novelty is in determining the multiplicative structure of the
(torsion part of) the cohomology ring, and in particular showing that the cup
product of second cohomology torsion elements goes non-trivially to the fourth
cohomology. This specifies a non-Abelian, Heisenberg-type discrete symmetry
group of the four-dimensional theory.
| [
{
"created": "Sun, 26 Feb 2017 19:14:31 GMT",
"version": "v1"
}
] | 2017-09-13 | [
[
"Braun",
"Volker",
""
],
[
"Cvetic",
"Mirjam",
""
],
[
"Donagi",
"Ron",
""
],
[
"Poretschkin",
"Maximilian",
""
]
] | We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our example is based on a particular Calabi-Yau manifold, the quotient of a product of three elliptic curves by a fixed point free action of Z_2 x Z_2. Its cohomology contains torsion classes in various degrees. The main technical novelty is in determining the multiplicative structure of the (torsion part of) the cohomology ring, and in particular showing that the cup product of second cohomology torsion elements goes non-trivially to the fourth cohomology. This specifies a non-Abelian, Heisenberg-type discrete symmetry group of the four-dimensional theory. |
1908.02100 | P Klimas | P. Klimas and W.J. Zakrzewski | Further comments on BPS systems | 32 pages, 40 figures | null | null | null | hep-th nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We look at BPS systems involving two interacting Sine-Gordon like fields both
when one of them has a kink solution and the second one either a kink or an
antikink solution. The interaction between the two fields is controlled by a
parameter $\lambda$ which has to satisfy $| \lambda|< 2$. We then take these
solitonic static solutions (with solitons well localised) and construct from
them systems involving two solitons in each field (kinks and antikinks) and
then use them as initial conditions for their evolution in Lorentz covariant
versions of such models. This way we study their interactions and compare them
with similar interactions involving only one Sine-Gordon field. In particular,
we look at the behaviour of two static kinks in each field (which for one field
repel each other) and of a system involving kinks and anti-kinks (which for one
field attract each other) and look how their behaviour depends on the strength
of the interaction $\lambda$ between the two fields. Our simulations have led
us to look again at the static BPS solutions of systems involving more fields.
We have found that such ostensibly 'static' BPS solutions can exhibit small
motions due to the excitation of their zero modes. These excitations arise from
small unavoidable numerical errors (the overall translation is cancelled by the
conservation of momentum) but as systems of two or more fields have more that
one zero mode such motions can be generated and are extremely small. The energy
of our systems has been conserved to within $10^{-5}\%$.
| [
{
"created": "Tue, 6 Aug 2019 12:13:43 GMT",
"version": "v1"
}
] | 2019-08-07 | [
[
"Klimas",
"P.",
""
],
[
"Zakrzewski",
"W. J.",
""
]
] | We look at BPS systems involving two interacting Sine-Gordon like fields both when one of them has a kink solution and the second one either a kink or an antikink solution. The interaction between the two fields is controlled by a parameter $\lambda$ which has to satisfy $| \lambda|< 2$. We then take these solitonic static solutions (with solitons well localised) and construct from them systems involving two solitons in each field (kinks and antikinks) and then use them as initial conditions for their evolution in Lorentz covariant versions of such models. This way we study their interactions and compare them with similar interactions involving only one Sine-Gordon field. In particular, we look at the behaviour of two static kinks in each field (which for one field repel each other) and of a system involving kinks and anti-kinks (which for one field attract each other) and look how their behaviour depends on the strength of the interaction $\lambda$ between the two fields. Our simulations have led us to look again at the static BPS solutions of systems involving more fields. We have found that such ostensibly 'static' BPS solutions can exhibit small motions due to the excitation of their zero modes. These excitations arise from small unavoidable numerical errors (the overall translation is cancelled by the conservation of momentum) but as systems of two or more fields have more that one zero mode such motions can be generated and are extremely small. The energy of our systems has been conserved to within $10^{-5}\%$. |
1701.01009 | Ali Teimouri | Spyridon Talaganis, Ali Teimouri | Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity | v3: 40 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Typically higher-derivative theories are unstable. Instabilities manifest
themselves from extra propagating degrees of freedom, which are unphysical. In
this paper, we will investigate an infinite derivative field theory and study
its true dynamical degrees of freedom via Hamiltonian analysis. In particular,
we will show that if the infinite derivatives can be captured by a Gaussian
kinetic term, i.e. exponential of entire function, then it is possible to prove
that there are only finite number of dynamical degrees of freedom. We will
further extend our investigation into infinite derivative theory of gravity,
and in particular concentrate on ghost free and singularity free theory of
gravity, which has been studied extensively in the Lagrangian approach. Here we
will show from the Hamiltonian perspective that there are only finite number of
degrees of freedom.
| [
{
"created": "Wed, 4 Jan 2017 13:51:34 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 2017 03:23:04 GMT",
"version": "v2"
},
{
"created": "Mon, 22 May 2017 14:16:10 GMT",
"version": "v3"
}
] | 2017-05-23 | [
[
"Talaganis",
"Spyridon",
""
],
[
"Teimouri",
"Ali",
""
]
] | Typically higher-derivative theories are unstable. Instabilities manifest themselves from extra propagating degrees of freedom, which are unphysical. In this paper, we will investigate an infinite derivative field theory and study its true dynamical degrees of freedom via Hamiltonian analysis. In particular, we will show that if the infinite derivatives can be captured by a Gaussian kinetic term, i.e. exponential of entire function, then it is possible to prove that there are only finite number of dynamical degrees of freedom. We will further extend our investigation into infinite derivative theory of gravity, and in particular concentrate on ghost free and singularity free theory of gravity, which has been studied extensively in the Lagrangian approach. Here we will show from the Hamiltonian perspective that there are only finite number of degrees of freedom. |
1301.5342 | Davide Gaiotto | Davide Gaiotto and Joel Lamy-Poirier | Irregular Singularities in the H3+ WZW Model | 31 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a definition of irregular vertex operators in the H3+ WZW model.
Our definition is compatible with the duality [1] between the H3+ WZW model and
Liouville theory, and we provide the explicit map between correlation functions
of irregular vertex operators in the two conformal field theories. Our
definition of irregular vertex operators is motivated by relations to partition
functions of N=2 gauge theory and scattering amplitudes in N=4 gauge theory
| [
{
"created": "Tue, 22 Jan 2013 21:42:22 GMT",
"version": "v1"
}
] | 2013-01-24 | [
[
"Gaiotto",
"Davide",
""
],
[
"Lamy-Poirier",
"Joel",
""
]
] | We propose a definition of irregular vertex operators in the H3+ WZW model. Our definition is compatible with the duality [1] between the H3+ WZW model and Liouville theory, and we provide the explicit map between correlation functions of irregular vertex operators in the two conformal field theories. Our definition of irregular vertex operators is motivated by relations to partition functions of N=2 gauge theory and scattering amplitudes in N=4 gauge theory |
0901.4744 | Nikita A. Nekrasov | Nikita A.Nekrasov, Samson L.Shatashvili | Supersymmetric vacua and Bethe ansatz | 35 pages, short version I, Cargese and Landau-100 conferences
proceedings; v2. typos and refs corrected | Nucl.Phys.Proc.Suppl.192-193:91-112,2009 | 10.1016/j.nuclphysbps.2009.07.047 | IHES-P/09/09, TCD-MATH-09-04, HMI-09-01, NSF-KITP-09-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An announcement of some results of a longer paper where the supersymmetric
vacua of two dimensional N=2 susy gauge theories with matter are shown to be in
one-to-one correspondence with the eigenstates of integrable spin chain
Hamiltonians. The Heisenberg spin chain is mapped to the two dimensional U(N)
theory with fundamental hypermultiplets, the XXZ spin chain is mapped to the
analogous three dimensional super-Yang-Mills theory compactified on a circle,
the XYZ spin chain and eight-vertex model are related to the four dimensional
theory compactified on a torus. The correspondence extends to any spin group,
representations, boundary conditions, and inhomogeneity, it includes
Sinh-Gordon and non-linear Schroedinger models as well as the dynamical spin
chains such as the Hubbard model. Compactifications of four dimensional N=2
theories on a two-sphere lead to the instanton-corrected Bethe equations. We
propose a completely novel way for the Yangian, quantum affine, and elliptic
algebras to act as a symmetry of a union of quantum field theories.
This paper accompanies arXiv:0901.4748
| [
{
"created": "Thu, 29 Jan 2009 19:02:40 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Feb 2009 17:39:19 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Nekrasov",
"Nikita A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] | An announcement of some results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence with the eigenstates of integrable spin chain Hamiltonians. The Heisenberg spin chain is mapped to the two dimensional U(N) theory with fundamental hypermultiplets, the XXZ spin chain is mapped to the analogous three dimensional super-Yang-Mills theory compactified on a circle, the XYZ spin chain and eight-vertex model are related to the four dimensional theory compactified on a torus. The correspondence extends to any spin group, representations, boundary conditions, and inhomogeneity, it includes Sinh-Gordon and non-linear Schroedinger models as well as the dynamical spin chains such as the Hubbard model. Compactifications of four dimensional N=2 theories on a two-sphere lead to the instanton-corrected Bethe equations. We propose a completely novel way for the Yangian, quantum affine, and elliptic algebras to act as a symmetry of a union of quantum field theories. This paper accompanies arXiv:0901.4748 |
1607.00526 | Paul K. Townsend | Alex S. Arvanitakis, Luca Mezincescu and Paul K. Townsend | Worldline CPT and massless supermultiplets | 23 pp. Typos corrected, references added and Appendix expanded in
v.2. Additional sign choices, simplified equations and clarifications
included in v.3 | null | 10.1142/S0217751X16501529 | DAMTP-2016-46 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The action for a massless particle in 4D Minkowski space has a worldline
time-reversing symmetry corresponding to CPT invariance of the quantum theory.
The analogous symmetry of the N-extended superparticle is shown to be anomalous
when N is odd, in the supertwistor formalism this is because a CPT-violating
worldline-Chern-Simons term is needed to preserve the chiral U(1) gauge
invariance. This accords with the fact that no massless N=1 super-Poincar\'e
irrep is CPT-self-conjugate. There is a CPT self-conjugate supermultiplet when
N is even, but it has $2^{N+1}$ states when N/2 is odd (e.g. the N=2
hypermultiplet) in contrast to just $2^N$ when N/2 is even (e.g. the N=4
Maxwell supermultiplet). This is shown to follow from a Kramers degeneracy of
the superparticle state space when N/2 is odd.
| [
{
"created": "Sat, 2 Jul 2016 15:56:30 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2016 14:49:17 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Sep 2016 09:18:49 GMT",
"version": "v3"
}
] | 2016-10-12 | [
[
"Arvanitakis",
"Alex S.",
""
],
[
"Mezincescu",
"Luca",
""
],
[
"Townsend",
"Paul K.",
""
]
] | The action for a massless particle in 4D Minkowski space has a worldline time-reversing symmetry corresponding to CPT invariance of the quantum theory. The analogous symmetry of the N-extended superparticle is shown to be anomalous when N is odd, in the supertwistor formalism this is because a CPT-violating worldline-Chern-Simons term is needed to preserve the chiral U(1) gauge invariance. This accords with the fact that no massless N=1 super-Poincar\'e irrep is CPT-self-conjugate. There is a CPT self-conjugate supermultiplet when N is even, but it has $2^{N+1}$ states when N/2 is odd (e.g. the N=2 hypermultiplet) in contrast to just $2^N$ when N/2 is even (e.g. the N=4 Maxwell supermultiplet). This is shown to follow from a Kramers degeneracy of the superparticle state space when N/2 is odd. |
hep-th/9212047 | Watamura | Satoshi Watamura | Quantum Deformation of BRST Algebra | 28pages, HD-THEP-92-39, Preprint TU-411 (September, 1992), LaTeX | Commun.Math.Phys. 158 (1993) 67-92 | 10.1007/BF02097232 | null | hep-th | null | We investigate the $q$-deformation of the BRST algebra, the algebra of the
ghost, matter and gauge fields on one spacetime point using the result of the
bicovariant differential calculus. There are two nilpotent operations in the
algebra, the BRST transformation $\brs$ and the derivative $d$. We show that
one can define the covariant commutation relations among the fields and their
derivatives consistently with these two operation as well as the $*$-operation,
the antimultiplicative inner involution.
| [
{
"created": "Tue, 8 Dec 1992 13:37:29 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Watamura",
"Satoshi",
""
]
] | We investigate the $q$-deformation of the BRST algebra, the algebra of the ghost, matter and gauge fields on one spacetime point using the result of the bicovariant differential calculus. There are two nilpotent operations in the algebra, the BRST transformation $\brs$ and the derivative $d$. We show that one can define the covariant commutation relations among the fields and their derivatives consistently with these two operation as well as the $*$-operation, the antimultiplicative inner involution. |
hep-th/9207117 | Vipul Periwal | R.C. Myers and V. Periwal | Chiral gravity in two dimensions | 19 pages, iassns-hep-92-19/McGill/92-26 | Nucl.Phys. B397 (1993) 239-259 | 10.1016/0550-3213(93)90343-N | null | hep-th | null | It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be
consistently coupled to two-dimensional `frame' gravity. The theory is
quantized, following David, and Distler and Kawai, using the derivation of
their {\it ansatz} due to Mavromatos and Miramontes, and D'Hoker and Kurzepa.
New super-selection rules are found by requiring SL(2,{\bf C}) invariance of
correlation functions on the plane. There is no analogue of the $c=1$ barrier
found in non-chiral non-critical strings. A non-critical heterotic string is
constructed---it has 744 states in its spectrum, transforming in the adjoint
representation of $(E_8)^3.$ Correlation functions are calculated in this
example.
| [
{
"created": "Fri, 31 Jul 1992 17:38:06 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Myers",
"R. C.",
""
],
[
"Periwal",
"V.",
""
]
] | It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their {\it ansatz} due to Mavromatos and Miramontes, and D'Hoker and Kurzepa. New super-selection rules are found by requiring SL(2,{\bf C}) invariance of correlation functions on the plane. There is no analogue of the $c=1$ barrier found in non-chiral non-critical strings. A non-critical heterotic string is constructed---it has 744 states in its spectrum, transforming in the adjoint representation of $(E_8)^3.$ Correlation functions are calculated in this example. |
hep-th/0404248 | Adi Armoni | Adi Armoni (CERN) | Witten-Veneziano from Green-Schwarz | 10 pages, LaTex. 1 eps figure. v2: minor changes, refs. added, to
appear in JHEP | JHEP 0406 (2004) 019 | 10.1088/1126-6708/2004/06/019 | CERN-PH-TH/2004-066 | hep-th hep-lat hep-ph | null | We consider the U(1) problem within the AdS/CFT framework. We explain how the
Witten-Veneziano formula for the eta' mass is related to a generalized
Green-Schwarz mechanism. The closed string mode, that cancels the anomaly of
the gauged U(1) axial symmetry, is identified with the eta' meson. In a
particular set-up of D3-branes on a C3/(Z3xZ3) orbifold singularity, the eta'
meson is a twisted-sector R-R field.
| [
{
"created": "Fri, 30 Apr 2004 09:23:12 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jun 2004 16:20:44 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Armoni",
"Adi",
"",
"CERN"
]
] | We consider the U(1) problem within the AdS/CFT framework. We explain how the Witten-Veneziano formula for the eta' mass is related to a generalized Green-Schwarz mechanism. The closed string mode, that cancels the anomaly of the gauged U(1) axial symmetry, is identified with the eta' meson. In a particular set-up of D3-branes on a C3/(Z3xZ3) orbifold singularity, the eta' meson is a twisted-sector R-R field. |
2109.03245 | Sungwoo Hong | Mohamed M. Anber, Sungwoo Hong, Minho Son | New Anomalies, TQFTs, and Confinement in Bosonic Chiral Gauge Theories | 36+14 pages, Journal version, corrections to symmetry breaking and
several minor improvements are made | null | 10.1007/JHEP02(2022)062 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study a class of 4-dimensional $SU(N)$ chiral gauge theories with fermions
in the 2-index symmetric and antisymmetric representations and classify their
infrared phases. The choice $N=4\mathbb{Z}$ corresponds to gauging the fermion
number and makes the theory purely bosonic. We examine the most general
background fields of the centers of the gauge, non-abelian flavor, and
$U(1)$-axial groups that can be consistently activated, thereby determine the
faithful global continuous and discrete symmetries of the theory. This allows
us to identify new mixed 0-form/1-form `t Hooft anomalies on both spin and
nonspin manifolds. If the theory confines, the absence of composite fermions
implies that continuous symmetries must be broken down to anomaly-free
subgroups. Anomalies associated with discrete symmetries can be saturated
either by breaking the symmetry or by a symmetry-preserving topological quantum
field theory (TQFT). The latter, however, is obstructed on spin manifold. The
interplay between these features greatly restricts the possible infrared
physics. We present two examples that demonstrate our approach. We argue that
if the theory confines, the zoo of anomalies and TQFT obstruction greatly
restrict the viable infrared condensates. We also discuss the possibility that
some theories flow to a conformal fixed point.
| [
{
"created": "Tue, 7 Sep 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Feb 2022 17:54:20 GMT",
"version": "v2"
}
] | 2022-03-02 | [
[
"Anber",
"Mohamed M.",
""
],
[
"Hong",
"Sungwoo",
""
],
[
"Son",
"Minho",
""
]
] | We study a class of 4-dimensional $SU(N)$ chiral gauge theories with fermions in the 2-index symmetric and antisymmetric representations and classify their infrared phases. The choice $N=4\mathbb{Z}$ corresponds to gauging the fermion number and makes the theory purely bosonic. We examine the most general background fields of the centers of the gauge, non-abelian flavor, and $U(1)$-axial groups that can be consistently activated, thereby determine the faithful global continuous and discrete symmetries of the theory. This allows us to identify new mixed 0-form/1-form `t Hooft anomalies on both spin and nonspin manifolds. If the theory confines, the absence of composite fermions implies that continuous symmetries must be broken down to anomaly-free subgroups. Anomalies associated with discrete symmetries can be saturated either by breaking the symmetry or by a symmetry-preserving topological quantum field theory (TQFT). The latter, however, is obstructed on spin manifold. The interplay between these features greatly restricts the possible infrared physics. We present two examples that demonstrate our approach. We argue that if the theory confines, the zoo of anomalies and TQFT obstruction greatly restrict the viable infrared condensates. We also discuss the possibility that some theories flow to a conformal fixed point. |
1402.0456 | Luis E. Oxman | L. E. Oxman, G. C. Santos Rosa, B. F. I. Teixeira | Coloured loops in 4D and their effective field representation | 27 pages, LaTeX | J. Phys. A: Math. Theor. 47 (2014) 305401 | 10.1088/1751-8113/47/30/305401 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gaining insight about ensembles of magnetic configurations, that could
originate the confining string tension between quarks, constitutes a major
concern in current lattice investigations. This interest also applies to a
different approach, where gauge models with spontaneous symmetry breaking are
constructed to describe the confining string as a smooth vortex solution. In
this article, we initially show how to incorporate non Abelian information into
an ensemble of monopoles in $4D$, characterized by phenomenological parameters.
Next, using some recent techniques developed for polymers, we were able to
relate the coloured ensemble with a non Abelian gauge model. This could offer
an interesting perspective to discuss some of the different approaches to
describe confinement.
| [
{
"created": "Mon, 3 Feb 2014 18:38:05 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jul 2014 23:12:58 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Oxman",
"L. E.",
""
],
[
"Rosa",
"G. C. Santos",
""
],
[
"Teixeira",
"B. F. I.",
""
]
] | Gaining insight about ensembles of magnetic configurations, that could originate the confining string tension between quarks, constitutes a major concern in current lattice investigations. This interest also applies to a different approach, where gauge models with spontaneous symmetry breaking are constructed to describe the confining string as a smooth vortex solution. In this article, we initially show how to incorporate non Abelian information into an ensemble of monopoles in $4D$, characterized by phenomenological parameters. Next, using some recent techniques developed for polymers, we were able to relate the coloured ensemble with a non Abelian gauge model. This could offer an interesting perspective to discuss some of the different approaches to describe confinement. |
1808.07575 | Chi-Sing Lam | C.S. Lam | Pfaffian Diagrams for Gluon Tree Amplitudes | null | Phys. Rev. D 98, 076002 (2018) | 10.1103/PhysRevD.98.076002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Pfaffian diagrams are formulated to represent gluon amplitudes computed from
the Cachazo-He-Yuan (CHY) formula. They may be regarded as a systematic
regrouping of Feynman diagrams after internal momenta are expanded and products
of vertex factors are evaluated. This reprocessing enables gluon amplitudes
expressed in Pfaffian diagrams to contain less terms. For example, there are 19
terms for the four-point amplitude in Pfaffian diagrams, and 35 terms in
Feynman diagrams. Gauge invariance is simpler and more explicit in Pfaffian
diagrams, in that subset of diagrams with the same root configuration are
already gauge invariant in all lines but two. In getting to these results,
several technical difficulties must be overcome. Double poles must be converted
to simple poles, integrations must be carried out directly and formulated into
simple rules, and the three \M constant lines must be suitably chosen to
minimize the number of terms present.
| [
{
"created": "Wed, 22 Aug 2018 22:04:41 GMT",
"version": "v1"
}
] | 2018-10-10 | [
[
"Lam",
"C. S.",
""
]
] | Pfaffian diagrams are formulated to represent gluon amplitudes computed from the Cachazo-He-Yuan (CHY) formula. They may be regarded as a systematic regrouping of Feynman diagrams after internal momenta are expanded and products of vertex factors are evaluated. This reprocessing enables gluon amplitudes expressed in Pfaffian diagrams to contain less terms. For example, there are 19 terms for the four-point amplitude in Pfaffian diagrams, and 35 terms in Feynman diagrams. Gauge invariance is simpler and more explicit in Pfaffian diagrams, in that subset of diagrams with the same root configuration are already gauge invariant in all lines but two. In getting to these results, several technical difficulties must be overcome. Double poles must be converted to simple poles, integrations must be carried out directly and formulated into simple rules, and the three \M constant lines must be suitably chosen to minimize the number of terms present. |
2310.04434 | Faizuddin Ahmed | M. Abu-Shady and Faizuddin Ahmed | Impact of global monopole on heavy mesons in hot-dense medium | 14 pages, 8 figures, improved version, accepted in IJMPA
(https://doi.org/10.1142/S0217751X2450060X) | null | 10.1142/S0217751X2450060X | null | hep-th nucl-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | This research study is primarily focus on investigating how the topological
effects influence the eigenvalue solutions in the presence of a hot-dense
medium. To accomplish this, we employ the non-relativistic Schr\"odinger wave
equation, taking into consideration both the quantum flux field and an
interaction potential. Through this approach, we determine the energy
eigenvalues and their corresponding wave functions using the Nikiforov-Uvarov
method. Our findings indicate that when we consider both the topological
effects and the magnetic flux, $\Phi$, there is a noticeable reduction in the
binding energy within the hot-dense medium. Additionally, we analyze the role
of the baryonic potential in shaping the binding energy within the $(T, u_b)$
plane. Interestingly, it is evident that the influence of the baryonic
potential becomes more pronounced as its values decrease
| [
{
"created": "Fri, 29 Sep 2023 11:16:00 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 2024 15:59:58 GMT",
"version": "v2"
}
] | 2024-05-20 | [
[
"Abu-Shady",
"M.",
""
],
[
"Ahmed",
"Faizuddin",
""
]
] | This research study is primarily focus on investigating how the topological effects influence the eigenvalue solutions in the presence of a hot-dense medium. To accomplish this, we employ the non-relativistic Schr\"odinger wave equation, taking into consideration both the quantum flux field and an interaction potential. Through this approach, we determine the energy eigenvalues and their corresponding wave functions using the Nikiforov-Uvarov method. Our findings indicate that when we consider both the topological effects and the magnetic flux, $\Phi$, there is a noticeable reduction in the binding energy within the hot-dense medium. Additionally, we analyze the role of the baryonic potential in shaping the binding energy within the $(T, u_b)$ plane. Interestingly, it is evident that the influence of the baryonic potential becomes more pronounced as its values decrease |
1611.00446 | Masoumeh Ghasemkhani | M. Ghasemkhani, R. Bufalo, V. Rahmanpour, E. Nouri | One-loop $\mathbf{\beta}$ function of noncommutative scalar $QED_{4}$ | 23 pages, 6 figures, published version | Phys. Rev. D 95, 085018 (2017) | 10.1103/PhysRevD.95.085018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider the $\beta$ function at one-loop approximation for
noncommutative scalar QED. The renormalization of the full theory, including
the basic vertices, and the renormalization group equation are fully
established. Next, the complete set of the one-loop diagrams corresponding to
the first-order radiative corrections to the basic functions is considered:
gauge, charged scalar and ghost fields self-energies, and three- and four-point
vertex functions $\left<\phi^\dag \phi A\right>$ and $\left<\phi^\dag \phi A
A\right>$, respectively. We pay special attention to the noncommutative
contributions to the renormalization constants. To conclude, the one-loop
$\beta$ function of noncommutative scalar QED is then computed and comparison
to known results is presented.
| [
{
"created": "Wed, 2 Nov 2016 02:14:29 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Apr 2017 19:00:45 GMT",
"version": "v2"
}
] | 2017-04-27 | [
[
"Ghasemkhani",
"M.",
""
],
[
"Bufalo",
"R.",
""
],
[
"Rahmanpour",
"V.",
""
],
[
"Nouri",
"E.",
""
]
] | In this paper, we consider the $\beta$ function at one-loop approximation for noncommutative scalar QED. The renormalization of the full theory, including the basic vertices, and the renormalization group equation are fully established. Next, the complete set of the one-loop diagrams corresponding to the first-order radiative corrections to the basic functions is considered: gauge, charged scalar and ghost fields self-energies, and three- and four-point vertex functions $\left<\phi^\dag \phi A\right>$ and $\left<\phi^\dag \phi A A\right>$, respectively. We pay special attention to the noncommutative contributions to the renormalization constants. To conclude, the one-loop $\beta$ function of noncommutative scalar QED is then computed and comparison to known results is presented. |
0809.2273 | Nami Fux Svaiter | T. C. de Aguiar, G. Menezes, N. F. Svaiter | Stochastic Quantization of Scalar Fields in de Sitter Spacetime | null | Class.Quant.Grav.26:075003,2009 | 10.1088/0264-9381/26/7/075003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the stochastic quantization method for scalar fields defined in a
curved manifold. The two-point function associated to a massive
self-interacting scalar field is evaluated, up to the first order level in the
coupling constant $\lambda$, for the case of de Sitter Euclidean metric. Its
value for the asymptotic limit of the Markov parameter $\tau\to\infty$ is
exhibited. We discuss in detail the covariant stochastic regularization to
render the one-loop two-point function finite in the de Sitter Euclidean
metric.
| [
{
"created": "Fri, 12 Sep 2008 19:35:46 GMT",
"version": "v1"
}
] | 2009-03-20 | [
[
"de Aguiar",
"T. C.",
""
],
[
"Menezes",
"G.",
""
],
[
"Svaiter",
"N. F.",
""
]
] | We consider the stochastic quantization method for scalar fields defined in a curved manifold. The two-point function associated to a massive self-interacting scalar field is evaluated, up to the first order level in the coupling constant $\lambda$, for the case of de Sitter Euclidean metric. Its value for the asymptotic limit of the Markov parameter $\tau\to\infty$ is exhibited. We discuss in detail the covariant stochastic regularization to render the one-loop two-point function finite in the de Sitter Euclidean metric. |
1703.10147 | Eva Silverstein | Matthew Dodelson and Eva Silverstein | Long-Range Nonlocality in Six-Point String Scattering: simulation of
black hole infallers | 42 pages, 9 figures. v2: 43 pages, 9 figures. Added section on vertex
operator integral, other small corrections. v3: minor addition on probability
and normalization | Phys. Rev. D 96, 066009 (2017) | 10.1103/PhysRevD.96.066009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We set up a tree-level six point scattering process in which two strings are
separated longitudinally such that they could only interact directly via a
non-local spreading effect such as that predicted by light cone gauge
calculations and the Gross-Mende saddle point. One string, the `detector', is
produced at a finite time with energy $E$ by an auxiliary $2\to 2$ sub-process,
with kinematics such that it has sufficient resolution to detect the
longitudinal spreading of an additional incoming string, the `source'. We test
this hypothesis in a gauge-invariant S-matrix calculation convolved with an
appropriate wavepacket peaked at a separation $X$ between the central
trajectories of the source and produced detector. The amplitude exhibits
support for scattering at the predicted longitudinal separation $X\sim\alpha'
E$, in sharp contrast to the analogous quantum field theory amplitude (whose
support manifestly traces out a tail of the position-space wavefunction). The
effect arises in a regime in which the string amplitude is not obtained as a
convergent sum of such QFT amplitudes, and has larger amplitude than similar
QFT models (with the same auxiliary four point amplitude). In a linear dilaton
background, the amplitude depends on the string coupling as expected if the
scattering is not simply occuring on the wavepacket tail in string theory. This
manifests the scale of longitudinal spreading in a gauge-invariant S-matrix
amplitude, in a calculable process with significant amplitude. It simulates a
key feature of the dynamics of time-translated horizon infallers.
| [
{
"created": "Wed, 29 Mar 2017 17:23:39 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2017 23:02:31 GMT",
"version": "v2"
},
{
"created": "Wed, 10 May 2017 18:57:57 GMT",
"version": "v3"
}
] | 2017-09-20 | [
[
"Dodelson",
"Matthew",
""
],
[
"Silverstein",
"Eva",
""
]
] | We set up a tree-level six point scattering process in which two strings are separated longitudinally such that they could only interact directly via a non-local spreading effect such as that predicted by light cone gauge calculations and the Gross-Mende saddle point. One string, the `detector', is produced at a finite time with energy $E$ by an auxiliary $2\to 2$ sub-process, with kinematics such that it has sufficient resolution to detect the longitudinal spreading of an additional incoming string, the `source'. We test this hypothesis in a gauge-invariant S-matrix calculation convolved with an appropriate wavepacket peaked at a separation $X$ between the central trajectories of the source and produced detector. The amplitude exhibits support for scattering at the predicted longitudinal separation $X\sim\alpha' E$, in sharp contrast to the analogous quantum field theory amplitude (whose support manifestly traces out a tail of the position-space wavefunction). The effect arises in a regime in which the string amplitude is not obtained as a convergent sum of such QFT amplitudes, and has larger amplitude than similar QFT models (with the same auxiliary four point amplitude). In a linear dilaton background, the amplitude depends on the string coupling as expected if the scattering is not simply occuring on the wavepacket tail in string theory. This manifests the scale of longitudinal spreading in a gauge-invariant S-matrix amplitude, in a calculable process with significant amplitude. It simulates a key feature of the dynamics of time-translated horizon infallers. |
1908.00386 | Tomasz Lukowski | Tomasz Lukowski | On the Boundaries of the m=2 Amplituhedron | 14 pages, 3 figures | null | null | null | hep-th math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Amplituhedra $\mathcal{A}_{n,k}^{(m)}$ are geometric objects of great
interest in modern mathematics and physics: for mathematicians they are
combinatorially rich generalizations of polygons and polytopes, based on the
notion of positivity; for physicists, the amplituhedron
$\mathcal{A}^{(4)}_{n,k}$ encodes the scattering amplitudes of the planar
$\mathcal{N}=4$ super Yang-Mills theory. In this paper we study the structure
of boundaries for the amplituhedron $\mathcal{A}_{n,k}^{(2)}$. We classify all
boundaries of all dimensions and provide their graphical enumeration. We find
that the boundary poset for the amplituhedron is Eulerian and show that the
Euler characteristic of the amplituhedron equals one. This provides an initial
step towards proving that the amplituhedron for $m=2$ is homeomorphic to a
closed ball.
| [
{
"created": "Thu, 1 Aug 2019 13:30:16 GMT",
"version": "v1"
}
] | 2019-08-02 | [
[
"Lukowski",
"Tomasz",
""
]
] | Amplituhedra $\mathcal{A}_{n,k}^{(m)}$ are geometric objects of great interest in modern mathematics and physics: for mathematicians they are combinatorially rich generalizations of polygons and polytopes, based on the notion of positivity; for physicists, the amplituhedron $\mathcal{A}^{(4)}_{n,k}$ encodes the scattering amplitudes of the planar $\mathcal{N}=4$ super Yang-Mills theory. In this paper we study the structure of boundaries for the amplituhedron $\mathcal{A}_{n,k}^{(2)}$. We classify all boundaries of all dimensions and provide their graphical enumeration. We find that the boundary poset for the amplituhedron is Eulerian and show that the Euler characteristic of the amplituhedron equals one. This provides an initial step towards proving that the amplituhedron for $m=2$ is homeomorphic to a closed ball. |
hep-th/9702116 | Hwang-hyun Kwon | Hwang-hyun Kwon (DAMTP, University of Cambridge) | Non-confinement in Three Dimensional Supersymmetric Yang-Mills Theory | 9 pages, LATEX | null | null | DAMTP/ 97-9 | hep-th | null | The role of instantons in three dimensional N=2 supersymmetric SU(2)
Yang-Mills theory is studied, especially in relation to the issue of
confinement. The instanton-induced low energy effective action is derived by
extending the dilute gas approximation to the super-moduli space of instantons.
Following Polyakov's description of confinement in compact U(1) gauge theory,
it is argued that there is no confinement in N=2 supersymmetric Yang-Mills
theory.
| [
{
"created": "Fri, 14 Feb 1997 23:51:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kwon",
"Hwang-hyun",
"",
"DAMTP, University of Cambridge"
]
] | The role of instantons in three dimensional N=2 supersymmetric SU(2) Yang-Mills theory is studied, especially in relation to the issue of confinement. The instanton-induced low energy effective action is derived by extending the dilute gas approximation to the super-moduli space of instantons. Following Polyakov's description of confinement in compact U(1) gauge theory, it is argued that there is no confinement in N=2 supersymmetric Yang-Mills theory. |
0908.2064 | Andrei Mironov | Andrei Mironov, Sergei Mironov, Alexei Morozov and Andrey Morozov | CFT exercises for the needs of AGT | 29 pages | Teor.Mat.Fiz. 165 (2010) 503-542; Theor.Math.Phys. 165 (2010)
1662-1698 | 10.1007/s11232-010-0136-x | FIAN/TD-17/09, ITEP/TH-33/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An explicit check of the AGT relation between the W_N-symmetry controlled
conformal blocks and U(N) Nekrasov functions requires knowledge of the
Shapovalov matrix and various triple correlators for W-algebra descendants. We
collect simplest expressions of this type for N=3 and for the two lowest
descendant levels, together with the detailed derivations, which can be now
computerized and used in more general studies of conformal blocks and AGT
relations at higher levels.
| [
{
"created": "Fri, 14 Aug 2009 14:01:07 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Aug 2009 16:49:46 GMT",
"version": "v2"
}
] | 2020-05-26 | [
[
"Mironov",
"Andrei",
""
],
[
"Mironov",
"Sergei",
""
],
[
"Morozov",
"Alexei",
""
],
[
"Morozov",
"Andrey",
""
]
] | An explicit check of the AGT relation between the W_N-symmetry controlled conformal blocks and U(N) Nekrasov functions requires knowledge of the Shapovalov matrix and various triple correlators for W-algebra descendants. We collect simplest expressions of this type for N=3 and for the two lowest descendant levels, together with the detailed derivations, which can be now computerized and used in more general studies of conformal blocks and AGT relations at higher levels. |
2207.03491 | Victor Pozsgay | Mariana Carrillo Gonzalez, Claudia de Rham, Victor Pozsgay, Andrew J.
Tolley | Causal Effective Field Theories | 38 pages, 5 figures (updated in v2) | Phys. Rev. D 106, 105018 (2022) | 10.1103/PhysRevD.106.105018 | Imperial/TP/2022/MC/05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Physical principles such as unitarity, causality, and locality can constrain
the space of consistent effective field theories (EFTs) by imposing two-sided
bounds on the allowed values of Wilson coefficients. In this paper, we consider
the bounds that arise from the requirement of low-energy causality alone,
without appealing to any assumptions about UV physics. We focus on
shift-symmetric theories, and consider bounds that arise from the propagation
around both a homogeneous and a spherically-symmetric background. We find that
low-energy causality, namely the requirement that there are no resolvable time
advances within the regime of validity of the EFT, produces two-sided bounds in
agreement with compact positivity constraints previously obtained from $2
\rightarrow 2$ scattering amplitude dispersion relations using full crossing
symmetry.
| [
{
"created": "Thu, 7 Jul 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2023 16:46:57 GMT",
"version": "v2"
}
] | 2023-03-20 | [
[
"Gonzalez",
"Mariana Carrillo",
""
],
[
"de Rham",
"Claudia",
""
],
[
"Pozsgay",
"Victor",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | Physical principles such as unitarity, causality, and locality can constrain the space of consistent effective field theories (EFTs) by imposing two-sided bounds on the allowed values of Wilson coefficients. In this paper, we consider the bounds that arise from the requirement of low-energy causality alone, without appealing to any assumptions about UV physics. We focus on shift-symmetric theories, and consider bounds that arise from the propagation around both a homogeneous and a spherically-symmetric background. We find that low-energy causality, namely the requirement that there are no resolvable time advances within the regime of validity of the EFT, produces two-sided bounds in agreement with compact positivity constraints previously obtained from $2 \rightarrow 2$ scattering amplitude dispersion relations using full crossing symmetry. |
1704.05919 | Zhan-Feng Mai | Zhan-Feng Mai and H. Lu | Black Holes, Dark Wormholes and Solitons in f(T) Gravities | Latex, 31 pages, 2 figures, typos corrected and a reference added | Phys. Rev. D 95, 124024 (2017) | 10.1103/PhysRevD.95.124024 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By choosing an appropriate vielbein basis, we obtain a class of
spherically-symmetric solutions in $f(T)$ gravities. The solutions are
asymptotic to Minkowski spacetimes with leading falloffs the same as those of
the Schwarzschild black hole. In general, these solutions have branch-cut
singularities in the middle. For appropriately chosen $f(T)$ functions,
extremal black holes can also emerge. Furthermore, we obtain wormhole
configurations whose spatial section is analogous to an Ellis wormhole, but
$-g_{tt}$ runs from 0 to 1 as the proper radial coordinate runs from $-\infty$
to $+\infty$. Thus a signal sent from $-\infty$ to $+\infty$ through the
wormhole will be infinitely red-shifted. We call such a spacetime configuration
a dark wormhole. By introducing a bare cosmological constant $\Lambda_0$, we
construct smooth solitons that are asymptotic to local AdS with an effective
$\Lambda_{\rm eff}$. In the middle of bulk, the soliton metric behaves like the
AdS of bare $\Lambda_0$ in global coordinates. We also embed AdS planar and
Lifshitz black holes in $f(T)$ gravities. Finally we couple the Maxwell field
to the $f(T)$ theories and construct electrically-charged solutions.
| [
{
"created": "Wed, 19 Apr 2017 20:02:16 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2017 11:25:27 GMT",
"version": "v2"
}
] | 2017-06-21 | [
[
"Mai",
"Zhan-Feng",
""
],
[
"Lu",
"H.",
""
]
] | By choosing an appropriate vielbein basis, we obtain a class of spherically-symmetric solutions in $f(T)$ gravities. The solutions are asymptotic to Minkowski spacetimes with leading falloffs the same as those of the Schwarzschild black hole. In general, these solutions have branch-cut singularities in the middle. For appropriately chosen $f(T)$ functions, extremal black holes can also emerge. Furthermore, we obtain wormhole configurations whose spatial section is analogous to an Ellis wormhole, but $-g_{tt}$ runs from 0 to 1 as the proper radial coordinate runs from $-\infty$ to $+\infty$. Thus a signal sent from $-\infty$ to $+\infty$ through the wormhole will be infinitely red-shifted. We call such a spacetime configuration a dark wormhole. By introducing a bare cosmological constant $\Lambda_0$, we construct smooth solitons that are asymptotic to local AdS with an effective $\Lambda_{\rm eff}$. In the middle of bulk, the soliton metric behaves like the AdS of bare $\Lambda_0$ in global coordinates. We also embed AdS planar and Lifshitz black holes in $f(T)$ gravities. Finally we couple the Maxwell field to the $f(T)$ theories and construct electrically-charged solutions. |
hep-th/0410088 | Djordje Sijacki | Djordje Sijacki | Chromogravity - An Effective Diff(4,R) Gauge for the IR region of QCD | null | SFIN 15 A3 (2002) 213 | null | null | hep-th | null | Previous work on the IR regime approximation of QCD in which the dominant
contribution comes from a dressed two-gluon effective metric-like field
$G_{\mu\nu} = g_{ab} A^{a}_{\mu} A^{b}_{\nu}$ ($g_{ab}$ a color SU(3) metric)
is reviewed. The QCD gauge is approximated by effective
"chromodiffeomorphisms", i.e. by a gauge theory based on a
pseudo-diffeomorphisms group. The second-quantized $G_{\mu\nu}$ field, together
with the Lorentz generators close on the $\bar{SL}(4,R)$ algebra. This algebra
represents a spectrum generating algebra for the set of hadron states of a
given flavor - hadronic "manifields" transforming w.r.t. $\bar{SL}(4,R)$
(infinite-dimensional) unitary irreducible representations. The equations of
motion for the effective pseudo-gravity are derived from a quadratic action
describing Riemannian pseudo-gravity in the presence of shear ($\bar{SL}(4,R)$
covariant) hadronic matter currents. These equations yield $p^{-4}$
propagators, i.e. a linearly rising confining potential $H(r) \sim r$, as well
as linear $J \sim m^{2}$ Regge trajectories. The $\bar{SL}(4,R)$ symmetry based
dynamical theory for the QCD IR region is successfully applied to hadron
resonances. The pseudo-gravity potential reaches over to Nuclear Physics, where
its $J^{P} = 2^{+}, 0^{+}$ quanta provide for the ground state excitations of
the Arima-Iachello Interacting Boson Model.
| [
{
"created": "Fri, 8 Oct 2004 13:38:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sijacki",
"Djordje",
""
]
] | Previous work on the IR regime approximation of QCD in which the dominant contribution comes from a dressed two-gluon effective metric-like field $G_{\mu\nu} = g_{ab} A^{a}_{\mu} A^{b}_{\nu}$ ($g_{ab}$ a color SU(3) metric) is reviewed. The QCD gauge is approximated by effective "chromodiffeomorphisms", i.e. by a gauge theory based on a pseudo-diffeomorphisms group. The second-quantized $G_{\mu\nu}$ field, together with the Lorentz generators close on the $\bar{SL}(4,R)$ algebra. This algebra represents a spectrum generating algebra for the set of hadron states of a given flavor - hadronic "manifields" transforming w.r.t. $\bar{SL}(4,R)$ (infinite-dimensional) unitary irreducible representations. The equations of motion for the effective pseudo-gravity are derived from a quadratic action describing Riemannian pseudo-gravity in the presence of shear ($\bar{SL}(4,R)$ covariant) hadronic matter currents. These equations yield $p^{-4}$ propagators, i.e. a linearly rising confining potential $H(r) \sim r$, as well as linear $J \sim m^{2}$ Regge trajectories. The $\bar{SL}(4,R)$ symmetry based dynamical theory for the QCD IR region is successfully applied to hadron resonances. The pseudo-gravity potential reaches over to Nuclear Physics, where its $J^{P} = 2^{+}, 0^{+}$ quanta provide for the ground state excitations of the Arima-Iachello Interacting Boson Model. |
2210.00606 | Daniel Kapec | Daniel Kapec | Soft Particles and Infinite-Dimensional Geometry | 27 pages. v2: added appendices and expanded discussion in section 6 | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In the sigma model, soft insertions of moduli scalars enact parallel
transport of $S$-matrix elements about the finite-dimensional moduli space of
vacua, and the antisymmetric double-soft theorem calculates the curvature of
the vacuum manifold. We explore the analogs of these statements in gauge theory
and gravity in asymptotically flat spacetimes, where the relevant moduli spaces
are infinite-dimensional. These models have spaces of vacua parameterized by
(trivial) flat connections at spatial infinity, and soft insertions of photons,
gluons, and gravitons parallel transport $S$-matrix elements about these
infinite-dimensional manifolds. We argue that the antisymmetric double-soft
gluon theorem in $d+2$ bulk dimensions computes the curvature of a connection
on the infinite-dimensional space Map$(S^d,G)/G$. The analogous metrics in
abelian gauge theory and gravity are flat, as indicated by the vanishing of the
antisymmetric double-soft theorems in those models. In other words, Feynman
diagram calculations not only know about the vacuum manifold of Yang-Mills
theory, they can also be used to compute its curvature. The results have
interesting implications for flat holography.
| [
{
"created": "Sun, 2 Oct 2022 19:27:44 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2023 15:14:52 GMT",
"version": "v2"
}
] | 2023-07-07 | [
[
"Kapec",
"Daniel",
""
]
] | In the sigma model, soft insertions of moduli scalars enact parallel transport of $S$-matrix elements about the finite-dimensional moduli space of vacua, and the antisymmetric double-soft theorem calculates the curvature of the vacuum manifold. We explore the analogs of these statements in gauge theory and gravity in asymptotically flat spacetimes, where the relevant moduli spaces are infinite-dimensional. These models have spaces of vacua parameterized by (trivial) flat connections at spatial infinity, and soft insertions of photons, gluons, and gravitons parallel transport $S$-matrix elements about these infinite-dimensional manifolds. We argue that the antisymmetric double-soft gluon theorem in $d+2$ bulk dimensions computes the curvature of a connection on the infinite-dimensional space Map$(S^d,G)/G$. The analogous metrics in abelian gauge theory and gravity are flat, as indicated by the vanishing of the antisymmetric double-soft theorems in those models. In other words, Feynman diagram calculations not only know about the vacuum manifold of Yang-Mills theory, they can also be used to compute its curvature. The results have interesting implications for flat holography. |
hep-th/9808048 | Zurab Kakushadze | Zurab Kakushadze | Large N Gauge Theories from Orientifolds with NS-NS B-flux | 24 pages, revtex, minor misprints corrected, a clarifying remark
added (to appear in Nucl. Phys. B) | Nucl.Phys. B544 (1999) 265-286 | 10.1016/S0550-3213(98)00840-2 | HUTP-98/A061, NUB 3186 | hep-th | null | We consider D-branes and orientifold planes embedded in non-compact
(orbifolded) space-time. We point out that even in the non-compact cases we can
turn on non-zero (quantized) NS-NS antisymmetric B-field. In particular, we
study the effect of the B-field on four dimensional large N gauge theories from
orientifolds. Thus, in theories with both D3- and D7-branes, the effect of the
B-field is non-trivial: the number of D7-branes (of each species) is reduced
from 8 (which is the required number if the B-field is trivial) to 4. This
results in a different orientifold string theory, and, subsequently, the
corresponding large N gauge theory is also different. We explicitly construct
large N gauge theories from orientifolds with non-zero B-field backgrounds with
${\cal N}=2,1,0$ supersymmetries. These theories, just as their counterparts
without the B-field, have the property that in the large N limit computation of
any M-point correlation function reduces to the corresponding computation in
the parent ${\cal N}=4$ supersymmetric theory with a unitary gauge group.
| [
{
"created": "Sun, 9 Aug 1998 11:01:11 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Aug 1998 06:53:05 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Dec 1998 09:17:53 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Kakushadze",
"Zurab",
""
]
] | We consider D-branes and orientifold planes embedded in non-compact (orbifolded) space-time. We point out that even in the non-compact cases we can turn on non-zero (quantized) NS-NS antisymmetric B-field. In particular, we study the effect of the B-field on four dimensional large N gauge theories from orientifolds. Thus, in theories with both D3- and D7-branes, the effect of the B-field is non-trivial: the number of D7-branes (of each species) is reduced from 8 (which is the required number if the B-field is trivial) to 4. This results in a different orientifold string theory, and, subsequently, the corresponding large N gauge theory is also different. We explicitly construct large N gauge theories from orientifolds with non-zero B-field backgrounds with ${\cal N}=2,1,0$ supersymmetries. These theories, just as their counterparts without the B-field, have the property that in the large N limit computation of any M-point correlation function reduces to the corresponding computation in the parent ${\cal N}=4$ supersymmetric theory with a unitary gauge group. |
2407.20120 | Sumit Banik | Sumit Banik, Samuel Friot | Analytic Evaluation of Multiple Mellin-Barnes Integrals | Contribution to proceedings of the Loops and Legs in Quantum Field
Theory conference (LL2024), April 14-19, 2024, Wittenberg, Germany | null | null | ZU-TH 36/24, PSI-PR-24-16 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We summarize two geometrical approaches to analytically evaluate higher-fold
Mellin-Barnes (MB) integrals in terms of hypergeometric functions. The first
method is based on intersections of conic hulls, while the second one, which is
more recent, relies on triangulations of a set of points. We demonstrate that,
once automatized, the triangulation approach is computationally more efficient
than the conic hull approach. As an application of this triangulation approach,
we describe how one can derive simpler hypergeometric solutions of the
conformal off-shell massless two-loop double box and one-loop hexagon Feynman
integrals than those previously obtained from the conic hull approach. Lastly,
by applying the above techniques on the MB representation of multiple
polylogarithms, we show how to obtain new convergent series representations for
these functions. These new analytic expressions were numerically cross-checked
with GINAC.
| [
{
"created": "Mon, 29 Jul 2024 15:51:42 GMT",
"version": "v1"
}
] | 2024-07-30 | [
[
"Banik",
"Sumit",
""
],
[
"Friot",
"Samuel",
""
]
] | We summarize two geometrical approaches to analytically evaluate higher-fold Mellin-Barnes (MB) integrals in terms of hypergeometric functions. The first method is based on intersections of conic hulls, while the second one, which is more recent, relies on triangulations of a set of points. We demonstrate that, once automatized, the triangulation approach is computationally more efficient than the conic hull approach. As an application of this triangulation approach, we describe how one can derive simpler hypergeometric solutions of the conformal off-shell massless two-loop double box and one-loop hexagon Feynman integrals than those previously obtained from the conic hull approach. Lastly, by applying the above techniques on the MB representation of multiple polylogarithms, we show how to obtain new convergent series representations for these functions. These new analytic expressions were numerically cross-checked with GINAC. |
2310.18272 | Kumar Abhinav Dr. | Kumar Abhinav | A Gauge-Invariant Massive 2-form Model and its Quantization | 19 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | An Abelian 2-form theory that maintains gauge-invariance despite having a
mass is considered in 3+1 dimensions. Though this mass owes to a non-local term
the corresponding classical equations of motion are completely local and
subjected to proper gauge fixing, yielding 3 massive degrees of freedom.
Subsequently, consistent Dirac brackets could be constructed for this system
that agreed with the subsequently obtained quantization under the non-covariant
gauge condition. The covariant gauge quantization reproduced the same spectrum
following the dissociation of a spurious massless mode from the physical vector
space. Moreover, a path-integral treatment of the theory saw ghosts decoupling
and proper BRST transformations were obtained. This 2-form field mediates a
screened interaction of Yukawa-type that mimics the Meisner effect when
topologically coupled to a fermion current.
| [
{
"created": "Fri, 27 Oct 2023 16:58:54 GMT",
"version": "v1"
}
] | 2023-10-30 | [
[
"Abhinav",
"Kumar",
""
]
] | An Abelian 2-form theory that maintains gauge-invariance despite having a mass is considered in 3+1 dimensions. Though this mass owes to a non-local term the corresponding classical equations of motion are completely local and subjected to proper gauge fixing, yielding 3 massive degrees of freedom. Subsequently, consistent Dirac brackets could be constructed for this system that agreed with the subsequently obtained quantization under the non-covariant gauge condition. The covariant gauge quantization reproduced the same spectrum following the dissociation of a spurious massless mode from the physical vector space. Moreover, a path-integral treatment of the theory saw ghosts decoupling and proper BRST transformations were obtained. This 2-form field mediates a screened interaction of Yukawa-type that mimics the Meisner effect when topologically coupled to a fermion current. |
hep-th/0701169 | Maximo Banados | Maximo Banados | The ground-state of General Relativity, Topological Theories and Dark
Matter | More clarifications on the interpretation of the limits. Shorter
version. 4 pages, two column, no figures | Class.Quant.Grav.24:5911-5916,2007 | 10.1088/0264-9381/24/23/013 | null | hep-th astro-ph gr-qc | null | We suggest a limit of Einstein equations incorporating the state
$g_{\mu\nu}=0$ as a solution. The large scale behavior of this theory has
interesting properties. For a spherical source, the velocity profile for
circular motions is of the form observed in galaxies (approximately flat). For
FRW cosmologies, the Friedman equation contains an additional contribution in
the matter sector.
| [
{
"created": "Thu, 18 Jan 2007 15:11:22 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jan 2007 00:50:56 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jan 2007 18:24:56 GMT",
"version": "v3"
},
{
"created": "Sun, 28 Jan 2007 12:38:50 GMT",
"version": "v4"
},
{
"created": "Wed, 14 Mar 2007 19:10:37 GMT",
"version": "v5"
},
{
"created": "Fri, 18 May 2007 15:21:44 GMT",
"version": "v6"
}
] | 2008-11-26 | [
[
"Banados",
"Maximo",
""
]
] | We suggest a limit of Einstein equations incorporating the state $g_{\mu\nu}=0$ as a solution. The large scale behavior of this theory has interesting properties. For a spherical source, the velocity profile for circular motions is of the form observed in galaxies (approximately flat). For FRW cosmologies, the Friedman equation contains an additional contribution in the matter sector. |
hep-th/9502004 | null | R. N. Lee and A. I. Milstein | Quasiclassical Green function and Delbruck scattering in a screened
Coulomb field | 11 pages, LATEX, no figures | null | 10.1016/0375-9601(95)00055-8 | BUDKERINP 94-97 | hep-th | null | A simple integral representation is derived for the quasiclassical Green
function of the Dirac equation in an arbitrary spherically-symmetric decreasing
external field. The consideration is based on the use of the quasiclassical
radial wave functions with the main contribution of large angular momenta taken
into account. The Green function obtained is applied to the calculation of the
Delbruck scattering amplitudes in a screened Coulomb field.
| [
{
"created": "Wed, 1 Feb 1995 07:27:53 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Lee",
"R. N.",
""
],
[
"Milstein",
"A. I.",
""
]
] | A simple integral representation is derived for the quasiclassical Green function of the Dirac equation in an arbitrary spherically-symmetric decreasing external field. The consideration is based on the use of the quasiclassical radial wave functions with the main contribution of large angular momenta taken into account. The Green function obtained is applied to the calculation of the Delbruck scattering amplitudes in a screened Coulomb field. |
hep-th/9602135 | Steve Gubser | S.S. Gubser, I.R. Klebanov and A.W. Peet (Princeton University) | Entropy and Temperature of Black 3-Branes | 10 pages, LaTeX, minor revisions. v3: version that appeared in PRD | Phys. Rev. D 54, 3915 (1996) | 10.1103/PhysRevD.54.3915 | PUPT-1598 | hep-th | null | We consider slightly non-extremal black 3-branes of type IIB supergravity and
show that their Bekenstein-Hawking entropy agrees, up to a mysterious factor,
with an entropy derived by counting non-BPS excitations of the Dirichlet
3-brane. These excitations are described in terms of the statistical mechanics
of a 3+1 dimensional gas of massless open string states. This is essentially
the classic problem of blackbody radiation. The blackbody temperature is
related to the temperature of the Hawking radiation. We also construct a
solution of type IIB supergravity describing a 3-brane with a finite density of
longitudinal momentum. For extremal momentum-carrying 3-branes the horizon area
vanishes. This is in agreement with the fact that the BPS entropy of the
momentum-carrying Dirichlet 3-branes is not an extensive quantity.
| [
{
"created": "Sun, 25 Feb 1996 20:06:53 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Mar 1996 18:43:55 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Oct 2006 00:22:51 GMT",
"version": "v3"
}
] | 2016-08-24 | [
[
"Gubser",
"S. S.",
"",
"Princeton University"
],
[
"Klebanov",
"I. R.",
"",
"Princeton University"
],
[
"Peet",
"A. W.",
"",
"Princeton University"
]
] | We consider slightly non-extremal black 3-branes of type IIB supergravity and show that their Bekenstein-Hawking entropy agrees, up to a mysterious factor, with an entropy derived by counting non-BPS excitations of the Dirichlet 3-brane. These excitations are described in terms of the statistical mechanics of a 3+1 dimensional gas of massless open string states. This is essentially the classic problem of blackbody radiation. The blackbody temperature is related to the temperature of the Hawking radiation. We also construct a solution of type IIB supergravity describing a 3-brane with a finite density of longitudinal momentum. For extremal momentum-carrying 3-branes the horizon area vanishes. This is in agreement with the fact that the BPS entropy of the momentum-carrying Dirichlet 3-branes is not an extensive quantity. |
1709.02392 | Miguel Montero | Luis E. Ibanez and Miguel Montero | A Note on the WGC, Effective Field Theory and Clockwork within String
Theory | 12 pages | null | 10.1007/JHEP02(2018)057 | IFT-UAM/CSIC-17-081 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been recently argued that Higgsing of theories with $U(1)^n$ gauge
interactions consistent with the Weak Gravity Conjecture (WGC) may lead to
effective field theories parametrically violating WGC constraints. The minimal
examples typically involve Higgs scalars with a large charge with respect to a
$U(1)$ (e.g. charges $(Z,1)$ in $U(1)^2$ with $Z\gg 1$). This type of Higgs
multiplets play also a key role in clockwork $U(1)$ theories. We study these
issues in the context of heterotic string theory and find that, while indeed
there is no new physics at the standard magnetic WGC scale $\Lambda\sim g_{IR}
M_P$, the string scale is just slightly above, at a scale $\sim
\sqrt{k_{IR}}\Lambda$. Here $k_{IR}$ is the level of the IR $U(1)$ worldsheet
current. We show that, unlike the standard magnetic cutoff, this bound is
insensitive to subsequent Higgsing. One may argue that this constraint gives
rise to no bound at the effective field theory level since $k_0$ is model
dependent and in general unknown. However there is an additional constraint to
be taken into account, which is that the Higgsing scalars with large charge $Z$
should be part of the string massless spectrum, which becomes an upper bound
$k_{IR}\leq k_0^2$, where $k_0$ is the level of the UV currents. Thus, for
fixed $k_0$, $Z$ cannot be made parametrically large. The upper bound on the
charges $Z$ leads to limitations on the size and structure of hierarchies in an
iterated $U(1)$ clockwork mechanism.
| [
{
"created": "Thu, 7 Sep 2017 18:00:05 GMT",
"version": "v1"
}
] | 2018-04-04 | [
[
"Ibanez",
"Luis E.",
""
],
[
"Montero",
"Miguel",
""
]
] | It has been recently argued that Higgsing of theories with $U(1)^n$ gauge interactions consistent with the Weak Gravity Conjecture (WGC) may lead to effective field theories parametrically violating WGC constraints. The minimal examples typically involve Higgs scalars with a large charge with respect to a $U(1)$ (e.g. charges $(Z,1)$ in $U(1)^2$ with $Z\gg 1$). This type of Higgs multiplets play also a key role in clockwork $U(1)$ theories. We study these issues in the context of heterotic string theory and find that, while indeed there is no new physics at the standard magnetic WGC scale $\Lambda\sim g_{IR} M_P$, the string scale is just slightly above, at a scale $\sim \sqrt{k_{IR}}\Lambda$. Here $k_{IR}$ is the level of the IR $U(1)$ worldsheet current. We show that, unlike the standard magnetic cutoff, this bound is insensitive to subsequent Higgsing. One may argue that this constraint gives rise to no bound at the effective field theory level since $k_0$ is model dependent and in general unknown. However there is an additional constraint to be taken into account, which is that the Higgsing scalars with large charge $Z$ should be part of the string massless spectrum, which becomes an upper bound $k_{IR}\leq k_0^2$, where $k_0$ is the level of the UV currents. Thus, for fixed $k_0$, $Z$ cannot be made parametrically large. The upper bound on the charges $Z$ leads to limitations on the size and structure of hierarchies in an iterated $U(1)$ clockwork mechanism. |
hep-th/9409066 | Charlotte Kristjansen | C. Kristjansen | Multi-loop correlators for rational theories of 2D gravity from the
generalized Kontsevich models | 14 pages, SPhT/94-102 | Nucl.Phys. B436 (1995) 342-354 | 10.1016/0550-3213(94)00517-I | null | hep-th | null | We introduce a parametrization of the coupling constant space of the
generalized Kontsevich models in terms of a set of moments equivalent to those
introduced recently in the context of topological gravity. For the simplest
generalization of the Kontsevich model we express the moments as elementary
functions of the susceptibilities and the eigenvalues of the external field. We
furthermore use the moment technique to derive a closed expression for the
genus zero multi-loop correlators for $(3,3m-1)$ and $(3,3m-2)$ rational matter
fields coupled to gravity. We comment on the relation between the two-matrix
model and the generalized Kontsevich models
| [
{
"created": "Mon, 12 Sep 1994 16:28:21 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kristjansen",
"C.",
""
]
] | We introduce a parametrization of the coupling constant space of the generalized Kontsevich models in terms of a set of moments equivalent to those introduced recently in the context of topological gravity. For the simplest generalization of the Kontsevich model we express the moments as elementary functions of the susceptibilities and the eigenvalues of the external field. We furthermore use the moment technique to derive a closed expression for the genus zero multi-loop correlators for $(3,3m-1)$ and $(3,3m-2)$ rational matter fields coupled to gravity. We comment on the relation between the two-matrix model and the generalized Kontsevich models |
hep-th/0410040 | Dietmar Klemm | Dietmar Klemm | Black holes and singularities in string theory | 18 pages, JHEP3.cls, 8 eps figures, plenary lecture given at the
workshop "Dynamics and thermodynamics of black holes and naked
singularities", Politecnico di Milano, 13-15 may 2004 | null | null | IFUM-807-FT | hep-th gr-qc | null | This is a summary of a lecture I gave at the workshop on dynamics and
thermodynamics of black holes and naked singularities at Politecnico Milano. It
is directed to a non-expert audience and reviews several ways in which string
theory accounts for black hole microstates. In particular, I give an elementary
introduction to the correspondence principle by Horowitz/Polchinski, to the
state counting for the three-charge black hole by Strominger and Vafa, and to
the recent proposal by Mathur et al. concerning the gravity description of
black hole microstates. The second part of the lecture is dedicated to naked
singularities and reviews an argument by Horowitz and Myers why naked
singularities are not necessarily bad. Finally, I comment on a possible
resolution of singularities in Born-Infeld type gravity theories.
| [
{
"created": "Tue, 5 Oct 2004 09:23:53 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Nov 2004 08:17:29 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Klemm",
"Dietmar",
""
]
] | This is a summary of a lecture I gave at the workshop on dynamics and thermodynamics of black holes and naked singularities at Politecnico Milano. It is directed to a non-expert audience and reviews several ways in which string theory accounts for black hole microstates. In particular, I give an elementary introduction to the correspondence principle by Horowitz/Polchinski, to the state counting for the three-charge black hole by Strominger and Vafa, and to the recent proposal by Mathur et al. concerning the gravity description of black hole microstates. The second part of the lecture is dedicated to naked singularities and reviews an argument by Horowitz and Myers why naked singularities are not necessarily bad. Finally, I comment on a possible resolution of singularities in Born-Infeld type gravity theories. |
hep-th/9610072 | Valery Ter-Antonyan | A.N. Sissakian, V.M. Ter-Antonyan | Quantization on the Cone and Cyon-Oscillator Duality | 4 pages, LaTeX file | null | null | null | hep-th | null | It is shown that the three-dimensional isotropic oscillator with coordinates
belonging to the two-dimensional half-up cone is dual to the cyon , i.e. the
planar particle-vortex bound system provided by fractional statistics.
| [
{
"created": "Thu, 10 Oct 1996 12:17:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sissakian",
"A. N.",
""
],
[
"Ter-Antonyan",
"V. M.",
""
]
] | It is shown that the three-dimensional isotropic oscillator with coordinates belonging to the two-dimensional half-up cone is dual to the cyon , i.e. the planar particle-vortex bound system provided by fractional statistics. |
hep-th/9812206 | Danny Birmingham Staff | Danny Birmingham, Conall Kennedy, Siddhartha Sen, and Andy Wilkins | Geometrical Finiteness, Holography, and the BTZ Black Hole | 6 pages, Latex, Version to appear in Physical Review Letters | Phys.Rev.Lett. 82 (1999) 4164-4167 | 10.1103/PhysRevLett.82.4164 | null | hep-th | null | We show how a theorem of Sullivan provides a precise mathematical statement
of a 3d holographic principle, that is, the hyperbolic structure of a certain
class of 3d manifolds is completely determined in terms of the corresponding
Teichmuller space of the boundary. We explore the consequences of this theorem
in the context of the Euclidean BTZ black hole in three dimensions.
| [
{
"created": "Tue, 22 Dec 1998 17:05:29 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Apr 1999 15:55:43 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Birmingham",
"Danny",
""
],
[
"Kennedy",
"Conall",
""
],
[
"Sen",
"Siddhartha",
""
],
[
"Wilkins",
"Andy",
""
]
] | We show how a theorem of Sullivan provides a precise mathematical statement of a 3d holographic principle, that is, the hyperbolic structure of a certain class of 3d manifolds is completely determined in terms of the corresponding Teichmuller space of the boundary. We explore the consequences of this theorem in the context of the Euclidean BTZ black hole in three dimensions. |
hep-th/9401160 | Asher Peres | Orit Levin and Asher Peres (Department of Physics, Technion - Israel
Institute of Technology, Haifa, Israel) | Quantum Field Theory with Null-Fronted Metrics | 11 pages | Phys.Rev. D50 (1994) 7421-7424 | 10.1103/PhysRevD.50.7421 | TECHNION-PHYS-94-LP2 | hep-th | null | There is a large class of classical null-fronted metrics in which a free
scalar field has an infinite number of conservation laws. In particular, if the
scalar field is quantized, the number of particles is conserved. However, with
more general null-fronted metrics, field quantization cannot be interpreted in
terms of particle creation and annihilation operators, and the physical meaning
of the theory becomes obscure.
| [
{
"created": "Mon, 31 Jan 1994 10:10:03 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Levin",
"Orit",
"",
"Department of Physics, Technion - Israel\n Institute of Technology, Haifa, Israel"
],
[
"Peres",
"Asher",
"",
"Department of Physics, Technion - Israel\n Institute of Technology, Haifa, Israel"
]
] | There is a large class of classical null-fronted metrics in which a free scalar field has an infinite number of conservation laws. In particular, if the scalar field is quantized, the number of particles is conserved. However, with more general null-fronted metrics, field quantization cannot be interpreted in terms of particle creation and annihilation operators, and the physical meaning of the theory becomes obscure. |
1608.06624 | Xinan Zhou | Leonardo Rastelli, Xinan Zhou | Mellin amplitudes for $AdS_5\times S^5$ | 5 pages; v2: improved discussion, minor changes | Phys. Rev. Lett. 118, 091602 (2017) | 10.1103/PhysRevLett.118.091602 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the calculation of holographic correlation functions in IIB
supergravity on $AdS_5\times S^5$. Results for four-point functions simplify
drastically when expressed in Mellin space. We conjecture a compact formula for
the four-point functions of one-half BPS single-trace operators of arbitrary
weight. Our methods rely on general consistency conditions and eschew detailed
knowledge of the supergravity effective action.
| [
{
"created": "Tue, 23 Aug 2016 19:57:07 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2016 17:22:23 GMT",
"version": "v2"
}
] | 2017-03-08 | [
[
"Rastelli",
"Leonardo",
""
],
[
"Zhou",
"Xinan",
""
]
] | We revisit the calculation of holographic correlation functions in IIB supergravity on $AdS_5\times S^5$. Results for four-point functions simplify drastically when expressed in Mellin space. We conjecture a compact formula for the four-point functions of one-half BPS single-trace operators of arbitrary weight. Our methods rely on general consistency conditions and eschew detailed knowledge of the supergravity effective action. |
1708.03113 | Naoki Yamamoto | Naoki Yamamoto | Spin Hall effect of gravitational waves | 9 pages; v3: published version | Phys. Rev. D 98, 061701 (2018) | 10.1103/PhysRevD.98.061701 | null | hep-th cond-mat.other gr-qc physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravitons possess a Berry curvature due to their helicity. We derive the
semiclassical equations of motion for gravitons taking into account the Berry
curvature. We show that this quantum correction leads to the splitting of the
trajectories of right- and left-handed gravitational waves in curved space, and
that this correction can be understood as a topological phenomenon. This is the
spin Hall effect (SHE) of gravitational waves. We find that the SHE of
gravitational waves is twice as large as that of light. Possible future
observations of the SHE of gravitational waves can potentially test the quantum
nature of gravitons beyond the classical general relativity.
| [
{
"created": "Thu, 10 Aug 2017 08:14:15 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Dec 2017 02:16:48 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Sep 2018 08:57:26 GMT",
"version": "v3"
}
] | 2018-09-26 | [
[
"Yamamoto",
"Naoki",
""
]
] | Gravitons possess a Berry curvature due to their helicity. We derive the semiclassical equations of motion for gravitons taking into account the Berry curvature. We show that this quantum correction leads to the splitting of the trajectories of right- and left-handed gravitational waves in curved space, and that this correction can be understood as a topological phenomenon. This is the spin Hall effect (SHE) of gravitational waves. We find that the SHE of gravitational waves is twice as large as that of light. Possible future observations of the SHE of gravitational waves can potentially test the quantum nature of gravitons beyond the classical general relativity. |
0907.0227 | Yu Nakayama | Yu Nakayama | Forbidden Landscape from Holography | 4pages, v2: some improvements, reference added | JHEP 0911:061,2009 | 10.1088/1126-6708/2009/11/061 | UCB-PTH-09/22 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a class of field configurations that are forbidden in the quantum
gravity because of inconsistency in the dual field theory from holography.
Scale invariant but non-conformal field theories are impossible in (1+1)
dimension, and so should be the corresponding gravity dual. In particular, the
"spontaneous Lorentz symmetry breaking" models and the "ghost condensation"
models, which are well-studied in phenomenology literatures, are forbidden in
any consistent quantum theories of gravity in (1+2) dimension since they
predict such inconsistent field configurations.
| [
{
"created": "Wed, 1 Jul 2009 19:44:40 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jul 2009 17:32:29 GMT",
"version": "v2"
}
] | 2009-11-19 | [
[
"Nakayama",
"Yu",
""
]
] | We present a class of field configurations that are forbidden in the quantum gravity because of inconsistency in the dual field theory from holography. Scale invariant but non-conformal field theories are impossible in (1+1) dimension, and so should be the corresponding gravity dual. In particular, the "spontaneous Lorentz symmetry breaking" models and the "ghost condensation" models, which are well-studied in phenomenology literatures, are forbidden in any consistent quantum theories of gravity in (1+2) dimension since they predict such inconsistent field configurations. |
hep-th/9407046 | Uwe Gebhard Grimm | Uwe Grimm and S. Ole Warnaar | Solvable RSOS models based on the dilute BWM algebra | 25 pages, uuencoded compressed PostScript file, Amsterdam preprint
ITFA-94-21 | Nucl.Phys.B435:482-504,1995 | 10.1016/0550-3213(94)00405-4 | null | hep-th | null | In this paper we present representations of the recently introduced dilute
Birman-Wenzl-Murakami algebra. These representations, labelled by the level-$l$
B$^{(1)}_n$, C$^{(1)}_n$ and D$^{(1)}_n$ affine Lie algebras, are Baxterized to
yield solutions to the Yang-Baxter equation.
The thus obtained critical solvable models are RSOS counterparts of the,
respectively, D$^{(2)}_{n+1}$, $A^{(2)}_{2n}$ and B$^{(1)}_n$ $R$-matrices of
Bazhanov and Jimbo. For the D$^{(2)}_{n+1}$ and B$^{(1)}_n$ algebras the RSOS
models are new. An elliptic extension which solves the Yang-Baxter equation is
given for all three series of dilute RSOS models.
| [
{
"created": "Fri, 8 Jul 1994 08:50:49 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Grimm",
"Uwe",
""
],
[
"Warnaar",
"S. Ole",
""
]
] | In this paper we present representations of the recently introduced dilute Birman-Wenzl-Murakami algebra. These representations, labelled by the level-$l$ B$^{(1)}_n$, C$^{(1)}_n$ and D$^{(1)}_n$ affine Lie algebras, are Baxterized to yield solutions to the Yang-Baxter equation. The thus obtained critical solvable models are RSOS counterparts of the, respectively, D$^{(2)}_{n+1}$, $A^{(2)}_{2n}$ and B$^{(1)}_n$ $R$-matrices of Bazhanov and Jimbo. For the D$^{(2)}_{n+1}$ and B$^{(1)}_n$ algebras the RSOS models are new. An elliptic extension which solves the Yang-Baxter equation is given for all three series of dilute RSOS models. |
hep-th/9604037 | Rey Soo-Jong | Soo-Jong REY (Seoul National University) | Collective Coordinate Quantization of Dirichlet Branes | 16 pages, ReVTex | null | null | SNUTP 96-030 | hep-th | null | Collective coordinate quantization of Dirichlet branes is discussed.
Utilizing Polchinski's combinatoric rule, semiclassical D-brane wave functional
is given in proper-time formalism. D-brane equation of motion is then
identified with renormalization group equation of defining Dirichlet open
string theory. Quantum mechanical size of macroscopically charged D-brane is
illustrated and striking difference from ordinary field theory BPS particle is
emphasized.
| [
{
"created": "Mon, 8 Apr 1996 06:11:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"REY",
"Soo-Jong",
"",
"Seoul National University"
]
] | Collective coordinate quantization of Dirichlet branes is discussed. Utilizing Polchinski's combinatoric rule, semiclassical D-brane wave functional is given in proper-time formalism. D-brane equation of motion is then identified with renormalization group equation of defining Dirichlet open string theory. Quantum mechanical size of macroscopically charged D-brane is illustrated and striking difference from ordinary field theory BPS particle is emphasized. |
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