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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1307.6636 | Toshiko Kojita | Hiroyuki Hata and Toshiko Kojita | Inversion Symmetry of Gravitational Coupling in Cubic String Field
Theory | 31 pages, 6 figures. v3: Sec.3.3 improved, version to appear in JHEP | null | 10.1007/JHEP12(2013)019 | KUNS-2456 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was found that the canonical energy of multi-brane solutions in CSFT
constructed by the KBc algebra has a symmetry under the exchange of K=0 and
K=\infty (inversion symmetry). On the other hand, the gauge invariant
observable (GIO), which is regarded as the energy defined by the gravitational
coupling of open string, cannot count the energy from K=\infty and therefore is
not equal to the canonical energy. To resolve this discrepancy, we examine the
recent argument of Baba and Ishibashi which directly relates the two energies.
We find that the gravitational coupling which is equivalent to the canonical
energy consists of the GIO and another new term, and the whole has the
inversion symmetry.
| [
{
"created": "Thu, 25 Jul 2013 06:30:43 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Aug 2013 08:37:34 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Dec 2013 09:09:03 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Hata",
"Hiroyuki",
""
],
[
"Kojita",
"Toshiko",
""
]
] | It was found that the canonical energy of multi-brane solutions in CSFT constructed by the KBc algebra has a symmetry under the exchange of K=0 and K=\infty (inversion symmetry). On the other hand, the gauge invariant observable (GIO), which is regarded as the energy defined by the gravitational coupling of open string, cannot count the energy from K=\infty and therefore is not equal to the canonical energy. To resolve this discrepancy, we examine the recent argument of Baba and Ishibashi which directly relates the two energies. We find that the gravitational coupling which is equivalent to the canonical energy consists of the GIO and another new term, and the whole has the inversion symmetry. |
2003.10448 | Andrei Belitsky | A.V. Belitsky, G.P. Korchemsky | Circular Wilson loop in N=2* super Yang-Mills theory at two loops and
localization | 37 pages, 1 figure | null | 10.1007/JHEP04(2021)089 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a two-loop calculation of the supersymmetric circular Wilson loop
in the N=2* super Yang-Mills theory on the four-sphere. We develop an efficient
framework for computing contributing Feynman graphs that relies on using the
embedding coordinates combined with the Mellin-Barnes techniques for
propagator-like integrals on the sphere. Our results exactly match predictions
of supersymmetric localization providing a nontrivial consistency check for the
latter in non-conformal settings.
| [
{
"created": "Mon, 23 Mar 2020 18:00:00 GMT",
"version": "v1"
}
] | 2021-04-28 | [
[
"Belitsky",
"A. V.",
""
],
[
"Korchemsky",
"G. P.",
""
]
] | We present a two-loop calculation of the supersymmetric circular Wilson loop in the N=2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for computing contributing Feynman graphs that relies on using the embedding coordinates combined with the Mellin-Barnes techniques for propagator-like integrals on the sphere. Our results exactly match predictions of supersymmetric localization providing a nontrivial consistency check for the latter in non-conformal settings. |
2307.02438 | Danijel Obri\'c | Bojan Nikoli\'c, Danijel Obri\'c | Double space T-dualization and coordinate dependent RR | null | null | 10.1103/PhysRevD.109.106004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we examine T-dualization in double space formalism of type II
superstring theory in pure spinor formulation. Background fields that we
consider will all be constant except Ramond-Ramond field which will
infinitesimally depend only on bosonic coordinates $x^\mu$. In double space
T-dual transformations are represented as permutations between starting $x^\mu$
and dual coordinates $y_\mu$. Combining these two sets of coordinates into
double coordinate $Z^M = (x^\mu, y_\mu)$ while demanding that T-dual double
coordinates have same transformation laws, we obtain how background fields
transform under T-duality. Comparing these results with ones obtained with
Buscher T-dualization procedure we are able to conclude that these two
approaches are equivalent for cases where background fields have coordinate
dependence.
| [
{
"created": "Wed, 5 Jul 2023 17:05:36 GMT",
"version": "v1"
}
] | 2024-08-06 | [
[
"Nikolić",
"Bojan",
""
],
[
"Obrić",
"Danijel",
""
]
] | In this article we examine T-dualization in double space formalism of type II superstring theory in pure spinor formulation. Background fields that we consider will all be constant except Ramond-Ramond field which will infinitesimally depend only on bosonic coordinates $x^\mu$. In double space T-dual transformations are represented as permutations between starting $x^\mu$ and dual coordinates $y_\mu$. Combining these two sets of coordinates into double coordinate $Z^M = (x^\mu, y_\mu)$ while demanding that T-dual double coordinates have same transformation laws, we obtain how background fields transform under T-duality. Comparing these results with ones obtained with Buscher T-dualization procedure we are able to conclude that these two approaches are equivalent for cases where background fields have coordinate dependence. |
1707.09352 | Rohan Poojary | Sayantan Choudhury, Anshuman Dey, Indranil Halder, Lavneet Janagal,
Shiraz Minwalla and Rohan Poojary | Notes on Melonic $O(N)^{q-1}$ Tensor Models | 60 pages, 7 figures | null | 10.1007/JHEP06(2018)094 | TIFR/TH/17-28 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been demonstrated that the large N limit of a model of
fermions charged under the global/gauge symmetry group $O(N)^{q-1}$ agrees with
the large $N$ limit of the SYK model. In these notes we investigate aspects of
the dynamics of the $O(N)^{q-1}$ theories that differ from their SYK
counterparts. We argue that the spectrum of fluctuations about the finite
temperature saddle point in these theories has $(q-1)\frac{N^2}{2}$ new light
modes in addition to the light Schwarzian mode that exists even in the SYK
model, suggesting that the bulk dual description of theories differ
significantly if they both exist. We also study the thermal partition function
of a mass deformed version of the SYK model. At large mass we show that the
effective entropy of this theory grows with energy like $E \ln E$ (i.e. faster
than Hagedorn) up to energies of order $N^2$. The canonical partition function
of the model displays a deconfinement or Hawking Page type phase transition at
temperatures of order $1/\ln N$. We derive these results in the large mass
limit but argue that they are qualitatively robust to small corrections in
$J/m$.
| [
{
"created": "Fri, 28 Jul 2017 17:50:34 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2017 10:42:28 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jan 2018 12:29:43 GMT",
"version": "v3"
}
] | 2018-08-01 | [
[
"Choudhury",
"Sayantan",
""
],
[
"Dey",
"Anshuman",
""
],
[
"Halder",
"Indranil",
""
],
[
"Janagal",
"Lavneet",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Poojary",
"Rohan",
""
]
] | It has recently been demonstrated that the large N limit of a model of fermions charged under the global/gauge symmetry group $O(N)^{q-1}$ agrees with the large $N$ limit of the SYK model. In these notes we investigate aspects of the dynamics of the $O(N)^{q-1}$ theories that differ from their SYK counterparts. We argue that the spectrum of fluctuations about the finite temperature saddle point in these theories has $(q-1)\frac{N^2}{2}$ new light modes in addition to the light Schwarzian mode that exists even in the SYK model, suggesting that the bulk dual description of theories differ significantly if they both exist. We also study the thermal partition function of a mass deformed version of the SYK model. At large mass we show that the effective entropy of this theory grows with energy like $E \ln E$ (i.e. faster than Hagedorn) up to energies of order $N^2$. The canonical partition function of the model displays a deconfinement or Hawking Page type phase transition at temperatures of order $1/\ln N$. We derive these results in the large mass limit but argue that they are qualitatively robust to small corrections in $J/m$. |
1812.08167 | Kurt Hinterbichler | James Bonifacio, Kurt Hinterbichler, Austin Joyce, Rachel A. Rosen | Shift Symmetries in (Anti) de Sitter Space | 54 pages, 4 figures. v2 several typos corrected | JHEP 1902 (2019) 178 | 10.1007/JHEP02(2019)178 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a class of extended shift symmetries for fields of all integer
spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the
shift symmetry, galileon symmetry, and special galileon symmetry of massless
scalars in flat space to all symmetric tensor fields in (A)dS space. These
symmetries are parametrized by generalized Killing tensors and exist for fields
with particular discrete masses corresponding to the longitudinal modes of
massive fields in partially massless limits. We construct interactions for
scalars that preserve these shift symmetries, including an extension of the
special galileon to (A)dS space, and discuss possible generalizations to
interacting massive higher-spin particles.
| [
{
"created": "Wed, 19 Dec 2018 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 2020 05:04:05 GMT",
"version": "v2"
}
] | 2020-05-12 | [
[
"Bonifacio",
"James",
""
],
[
"Hinterbichler",
"Kurt",
""
],
[
"Joyce",
"Austin",
""
],
[
"Rosen",
"Rachel A.",
""
]
] | We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon symmetry of massless scalars in flat space to all symmetric tensor fields in (A)dS space. These symmetries are parametrized by generalized Killing tensors and exist for fields with particular discrete masses corresponding to the longitudinal modes of massive fields in partially massless limits. We construct interactions for scalars that preserve these shift symmetries, including an extension of the special galileon to (A)dS space, and discuss possible generalizations to interacting massive higher-spin particles. |
hep-th/9202055 | null | A. Mikovic | Canonical Quantization of 2d Gravity Coupled to c<1 Matter | 17 | null | null | null | hep-th | null | We study 2d gravity coupled to $c,1$ matter through canonical quantization of
a free scalar field, with background charge, coupled to gravity. Various
features of the theory can be more easily understood in the canonical approach,
like gauge indipendence of the path-integral results and the absence of the
local physical degrees of freedom. By performing a non-canonical transformation
of the phase space variables, we show that the theory takes a free-field form,
i.e. the constraints become the free-field Virasoro constraints. This implies
that the David-Distler-Kawai results can be derived in the gauge indipendent
way, and also proves the free-field assumption which was used for obtaining the
spectrum of the theory in the conformal gauge. A discussion of the physical
spectrum of the theory is presented, with an analysis of the unitarity of the
discrete momentum states.
| [
{
"created": "Mon, 17 Feb 1992 17:10:35 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Feb 1992 17:43:42 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Mikovic",
"A.",
""
]
] | We study 2d gravity coupled to $c,1$ matter through canonical quantization of a free scalar field, with background charge, coupled to gravity. Various features of the theory can be more easily understood in the canonical approach, like gauge indipendence of the path-integral results and the absence of the local physical degrees of freedom. By performing a non-canonical transformation of the phase space variables, we show that the theory takes a free-field form, i.e. the constraints become the free-field Virasoro constraints. This implies that the David-Distler-Kawai results can be derived in the gauge indipendent way, and also proves the free-field assumption which was used for obtaining the spectrum of the theory in the conformal gauge. A discussion of the physical spectrum of the theory is presented, with an analysis of the unitarity of the discrete momentum states. |
1207.3515 | Yu-Xiao Liu | Ke Yang, Yu-Xiao Liu, Yong-Qiang Wang | Emergence of Cosmic Space and the Generalized Holographic Equipartition | 8 pages, no figures, published version | Phys. Rev. D 86, 104013 (2012) | 10.1103/PhysRevD.86.104013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, a novel idea about our expanding Universe was proposed by T.
Padmanabhan [arXiv:1206.4916]. He suggested that the expansion of our Universe
can be thought of as the emergence of space as cosmic time progresses. The
emergence is governed by the basic relation that the increase rate of Hubble
volume is linearly determined by the difference between the number of degrees
of freedom on the horizon surface and the one in the bulk. In this paper,
following this idea, we generalize the basic relation to derive the Friedmann
equations of an $(n+1)$-dimensional Friedmann-Robertson-Walker universe
corresponding to general relativity, Gauss-Bonnet gravity, and Lovelock
gravity.
| [
{
"created": "Sun, 15 Jul 2012 14:55:21 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2012 08:42:51 GMT",
"version": "v2"
}
] | 2012-11-13 | [
[
"Yang",
"Ke",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Wang",
"Yong-Qiang",
""
]
] | Recently, a novel idea about our expanding Universe was proposed by T. Padmanabhan [arXiv:1206.4916]. He suggested that the expansion of our Universe can be thought of as the emergence of space as cosmic time progresses. The emergence is governed by the basic relation that the increase rate of Hubble volume is linearly determined by the difference between the number of degrees of freedom on the horizon surface and the one in the bulk. In this paper, following this idea, we generalize the basic relation to derive the Friedmann equations of an $(n+1)$-dimensional Friedmann-Robertson-Walker universe corresponding to general relativity, Gauss-Bonnet gravity, and Lovelock gravity. |
hep-th/0307102 | Hongwei Yu | Hongwei Yu and Weixing Shu | Quantum states with negative energy density in the Dirac field and
quantum inequalities | Revtex,9 pages, no figures, a couple of typos corrected | Phys.Lett. B570 (2003) 123-128 | 10.1016/j.physletb.2003.07.026 | null | hep-th gr-qc | null | Energy densities of the quantum states that are superposition of two
multi-electron-positron states are examined. It is shown that the energy
densities can be negative only when two multi-particle states have the same
number of electrons and positrons or when one state has one more
electron-positron pair than the other. In the cases in which negative energy
could arise, we find that the energy is that of a positive constant plus a
propagating part which oscillates between positive and negative, and the energy
can dip to negative at some places at for a certain period of time if the
quantum states are properly manipulated. It is demonstrated that the negative
energy densities satisfy the quantum inequality. Our results also reveal that
for a given particle content, the detection of negative energy is an operation
that depends on the frame where any measurement is to be performed. This
suggests that the sign of energy density for a quantum state may be a
coordinate-dependent quantity in quantum theory.
| [
{
"created": "Fri, 11 Jul 2003 04:03:51 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Aug 2003 13:32:25 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Nov 2003 07:21:19 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Yu",
"Hongwei",
""
],
[
"Shu",
"Weixing",
""
]
] | Energy densities of the quantum states that are superposition of two multi-electron-positron states are examined. It is shown that the energy densities can be negative only when two multi-particle states have the same number of electrons and positrons or when one state has one more electron-positron pair than the other. In the cases in which negative energy could arise, we find that the energy is that of a positive constant plus a propagating part which oscillates between positive and negative, and the energy can dip to negative at some places at for a certain period of time if the quantum states are properly manipulated. It is demonstrated that the negative energy densities satisfy the quantum inequality. Our results also reveal that for a given particle content, the detection of negative energy is an operation that depends on the frame where any measurement is to be performed. This suggests that the sign of energy density for a quantum state may be a coordinate-dependent quantity in quantum theory. |
hep-th/9610145 | Manoelito Martins de Souza | Manoelito M. de Souza | Classical Fields and the Quantum Concept | Some minor spelling and typesetting corrections | null | null | UFES-DF-MMS-96/4 | hep-th | null | We do a critical review of the Faraday-Maxwell concept of classical field and
of its quantization process. With the hindsight knowledge of the essentially
quantum character of the interactions, we use a naive classical model of field,
based on exchange of classical massless particles, for a comparative and
qualitative analysis of the physical content of the Coulomb's and Gauss's laws.
It enlightens the physical meaning of a field singularity and of a static
field. One can understand the problems on quantizing a classical field but not
the hope of quantizing the gravitational field right from General Relativity.
| [
{
"created": "Fri, 18 Oct 1996 18:34:55 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Nov 1996 12:33:35 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"de Souza",
"Manoelito M.",
""
]
] | We do a critical review of the Faraday-Maxwell concept of classical field and of its quantization process. With the hindsight knowledge of the essentially quantum character of the interactions, we use a naive classical model of field, based on exchange of classical massless particles, for a comparative and qualitative analysis of the physical content of the Coulomb's and Gauss's laws. It enlightens the physical meaning of a field singularity and of a static field. One can understand the problems on quantizing a classical field but not the hope of quantizing the gravitational field right from General Relativity. |
hep-th/0207006 | Sebastian Franco | Sebastian Franco and Amihay Hanany | Geometric dualities in 4d field theories and their 5d interpretation | 32 pages, 21 figures. V2: Replaced with published version | JHEP 0304 (2003) 043 | 10.1088/1126-6708/2003/04/043 | null | hep-th | null | We study four-dimensional N=1 gauge theories arising on D3-branes probing
toric singularities. Toric dualities and flows between theories corresponding
to different singularities are analyzed by encoding the geometric information
into (p,q) webs. A new method for identifying global symmetries of the
four-dimensional theories using the brane webs is developed. Five-dimensional
theories are associated to the theories on the D3-branes by using (p,q) webs.
This leads to a novel interpretation of Seiberg duality, as crossing curves of
marginal stability in five dimensions.
| [
{
"created": "Mon, 1 Jul 2002 02:10:52 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Dec 2003 01:57:00 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Franco",
"Sebastian",
""
],
[
"Hanany",
"Amihay",
""
]
] | We study four-dimensional N=1 gauge theories arising on D3-branes probing toric singularities. Toric dualities and flows between theories corresponding to different singularities are analyzed by encoding the geometric information into (p,q) webs. A new method for identifying global symmetries of the four-dimensional theories using the brane webs is developed. Five-dimensional theories are associated to the theories on the D3-branes by using (p,q) webs. This leads to a novel interpretation of Seiberg duality, as crossing curves of marginal stability in five dimensions. |
hep-th/0410289 | David Kastor | David Kastor, Tetsuya Shiromizu, Shinya Tomizawa and Jennie Traschen | Positivity Bounds for the Y-ADM Mass Density | 8 pages | Phys.Rev. D71 (2005) 104015 | 10.1103/PhysRevD.71.104015 | null | hep-th | null | Killing-Yano tensors are natural generalizations of Killing vectors to
arbitrary rank anti-symmetric tensor fields. It was recently shown that
Killing-Yano tensors lead to conserved gravitational charges, called Y-ADM
charges. These new charges are interesting because they measure, for example,
the mass density of a p-brane, rather than the total ADM mass which may be
infinite. In this paper, we show that the spinorial techniques used by Witten,
in his proof of the positive energy theorem, may be straightforwardly extended
to study the positivity properties of the Y-ADM mass density for p-brane
spacetimes. Although the resulting formalism is quite similar to the ADM case,
we show that establishing a positivity bound in the higher rank Y-ADM case
requires imposing a condition on the Weyl tensor in addition to an energy
condition. We find appropriate energy conditions for spacetimes that are
conformally flat or algebraically special, and for spacetimes that have an
exact Killing vector along the brane. Finally we discuss our expression for the
Y-ADM mass density from the Hamiltonian point of view.
| [
{
"created": "Fri, 29 Oct 2004 14:43:43 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kastor",
"David",
""
],
[
"Shiromizu",
"Tetsuya",
""
],
[
"Tomizawa",
"Shinya",
""
],
[
"Traschen",
"Jennie",
""
]
] | Killing-Yano tensors are natural generalizations of Killing vectors to arbitrary rank anti-symmetric tensor fields. It was recently shown that Killing-Yano tensors lead to conserved gravitational charges, called Y-ADM charges. These new charges are interesting because they measure, for example, the mass density of a p-brane, rather than the total ADM mass which may be infinite. In this paper, we show that the spinorial techniques used by Witten, in his proof of the positive energy theorem, may be straightforwardly extended to study the positivity properties of the Y-ADM mass density for p-brane spacetimes. Although the resulting formalism is quite similar to the ADM case, we show that establishing a positivity bound in the higher rank Y-ADM case requires imposing a condition on the Weyl tensor in addition to an energy condition. We find appropriate energy conditions for spacetimes that are conformally flat or algebraically special, and for spacetimes that have an exact Killing vector along the brane. Finally we discuss our expression for the Y-ADM mass density from the Hamiltonian point of view. |
2011.03691 | Ashish Shukla | Akash Jain, Pavel Kovtun, Adam Ritz, and Ashish Shukla | Hydrodynamic effective field theory and the analyticity of hydrostatic
correlators | 24+1 pages. v2: References added, typos fixed, matches version
published in JHEP | Journal of High Energy Physics 2021, Article number: 200 (2021) | 10.1007/JHEP02(2021)200 | null | hep-th cond-mat.stat-mech hep-ph nucl-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study one-loop corrections to retarded and symmetric hydrostatic
correlation functions within the Schwinger-Keldysh effective field theory
framework for relativistic hydrodynamics, focusing on charge diffusion. We
first consider the simplified setup with only diffusive charge density
fluctuations, and then augment it with momentum fluctuations in a model where
the sound modes can be ignored. We show that the loop corrections, which
generically induce non-analyticities and long-range effects at finite
frequency, non-trivially preserve analyticity of retarded correlation functions
in spatial momentum due to the KMS constraint, as a manifestation of thermal
screening. For the purposes of this analysis, we develop an interacting field
theory for diffusive hydrodynamics, seen as a limit of relativistic
hydrodynamics in the absence of temperature and longitudinal velocity
fluctuations.
| [
{
"created": "Sat, 7 Nov 2020 04:47:17 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Feb 2021 18:11:46 GMT",
"version": "v2"
}
] | 2021-02-25 | [
[
"Jain",
"Akash",
""
],
[
"Kovtun",
"Pavel",
""
],
[
"Ritz",
"Adam",
""
],
[
"Shukla",
"Ashish",
""
]
] | We study one-loop corrections to retarded and symmetric hydrostatic correlation functions within the Schwinger-Keldysh effective field theory framework for relativistic hydrodynamics, focusing on charge diffusion. We first consider the simplified setup with only diffusive charge density fluctuations, and then augment it with momentum fluctuations in a model where the sound modes can be ignored. We show that the loop corrections, which generically induce non-analyticities and long-range effects at finite frequency, non-trivially preserve analyticity of retarded correlation functions in spatial momentum due to the KMS constraint, as a manifestation of thermal screening. For the purposes of this analysis, we develop an interacting field theory for diffusive hydrodynamics, seen as a limit of relativistic hydrodynamics in the absence of temperature and longitudinal velocity fluctuations. |
2203.03851 | Takato Mori Mr. | Taishi Kawamoto, Takato Mori, Yu-ki Suzuki, Tadashi Takayanagi,
Tomonori Ugajin | Holographic Local Operator Quenches in BCFTs | 48 pages, 18 figures; minor revision: comments added, references
added (v2); a minor correction, published version in JHEP (v3) | JHEP05(2022)060 | 10.1007/JHEP05(2022)060 | KEK-TH-2399, YITP-22-21, IPMU22-0005 | hep-th cond-mat.stat-mech gr-qc | http://creativecommons.org/licenses/by/4.0/ | We present a gravity dual of local operator quench in a two-dimensional CFT
with conformal boundaries. This is given by a massive excitation in a
three-dimensional AdS space with the end of the world brane (EOW brane). Due to
the gravitational backreaction, the EOW brane gets deformed in a nontrivial
way. We show that the energy-momentum tensor and entanglement entropy computed
from the gravity dual and from the BCFT in the large $c$ limit match perfectly.
Interestingly, this comparison avoids the folding of the EOW brane in an
elegant way.
| [
{
"created": "Tue, 8 Mar 2022 04:50:48 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2022 09:37:29 GMT",
"version": "v2"
},
{
"created": "Wed, 11 May 2022 14:20:21 GMT",
"version": "v3"
}
] | 2022-05-12 | [
[
"Kawamoto",
"Taishi",
""
],
[
"Mori",
"Takato",
""
],
[
"Suzuki",
"Yu-ki",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Ugajin",
"Tomonori",
""
]
] | We present a gravity dual of local operator quench in a two-dimensional CFT with conformal boundaries. This is given by a massive excitation in a three-dimensional AdS space with the end of the world brane (EOW brane). Due to the gravitational backreaction, the EOW brane gets deformed in a nontrivial way. We show that the energy-momentum tensor and entanglement entropy computed from the gravity dual and from the BCFT in the large $c$ limit match perfectly. Interestingly, this comparison avoids the folding of the EOW brane in an elegant way. |
1511.06753 | Ian Morrison | Renato Costa and Ian A. Morrison | On higher spin symmetries in de Sitter QFTs | 20 pp; accepted to JHEP; latest version: expanded introduction,
additional references | JHEP 3 056 (2016) | 10.1007/JHEP03(2016)056 | NSF-KITP-15-135 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the consequences of global higher-spin symmetries in quantum
field theories on a fixed de Sitter background of spacetime dimension $D \ge
3$. These symmetries enhance the symmetry group associated with the isometries
of the de Sitter background and thus strongly constrain the dynamics of the
theory. In particular, we consider the case when a higher spin charge acts
linearly on a scalar operator to leading order in a Fefferman-Graham expansion
near the future/past conformal boundaries. We show that this implies that the
expectation values of the operator inserted near the boundaries are
asymptotically Gaussian. Thus, these operators have trivial cosmological
spectra, and on global de Sitter these operators have only Gaussian
correlations between operators inserted near future/past infinity. The latter
result may be interpreted as an analogue of the Coleman-Mandula theorem for
QFTs on de Sitter spacetime.
| [
{
"created": "Fri, 20 Nov 2015 20:52:49 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Nov 2015 03:41:09 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Mar 2016 16:28:00 GMT",
"version": "v3"
}
] | 2016-03-22 | [
[
"Costa",
"Renato",
""
],
[
"Morrison",
"Ian A.",
""
]
] | We consider the consequences of global higher-spin symmetries in quantum field theories on a fixed de Sitter background of spacetime dimension $D \ge 3$. These symmetries enhance the symmetry group associated with the isometries of the de Sitter background and thus strongly constrain the dynamics of the theory. In particular, we consider the case when a higher spin charge acts linearly on a scalar operator to leading order in a Fefferman-Graham expansion near the future/past conformal boundaries. We show that this implies that the expectation values of the operator inserted near the boundaries are asymptotically Gaussian. Thus, these operators have trivial cosmological spectra, and on global de Sitter these operators have only Gaussian correlations between operators inserted near future/past infinity. The latter result may be interpreted as an analogue of the Coleman-Mandula theorem for QFTs on de Sitter spacetime. |
hep-th/0403223 | Neil Barnaby | Neil Barnaby, James M. Cline | Creating the Universe from Brane-Antibrane Annihilation | 18 pages, 9 figures; revised discussion of Kibble mechanism; version
to appear in Phys. Rev. D | Phys.Rev. D70 (2004) 023506 | 10.1103/PhysRevD.70.023506 | null | hep-th astro-ph hep-ph | null | When p-dimensional branes annihilate with antibranes in the early universe,
as in brane-antibrane inflation, stable (p-2)-dimensional branes can appear in
the final state. We reexamine the possibility that one of these (p-2)-branes
could be our universe. In the low energy effective theory, the final state
branes are cosmic string defects of the complex tachyon field which describes
the instability of the initial state. We quantify the dynamics of formation of
these vortices. This information is then used to estimate the production of
massless gauge bosons on the final branes, due to their coupling to the
time-dependent tachyon background, which would provide a mechanism for
reheating after inflation. We improve upon previous estimates indicating that
this can be an efficient reheating mechanism for observers on the brane.
| [
{
"created": "Mon, 22 Mar 2004 19:26:19 GMT",
"version": "v1"
},
{
"created": "Wed, 19 May 2004 17:55:38 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Barnaby",
"Neil",
""
],
[
"Cline",
"James M.",
""
]
] | When p-dimensional branes annihilate with antibranes in the early universe, as in brane-antibrane inflation, stable (p-2)-dimensional branes can appear in the final state. We reexamine the possibility that one of these (p-2)-branes could be our universe. In the low energy effective theory, the final state branes are cosmic string defects of the complex tachyon field which describes the instability of the initial state. We quantify the dynamics of formation of these vortices. This information is then used to estimate the production of massless gauge bosons on the final branes, due to their coupling to the time-dependent tachyon background, which would provide a mechanism for reheating after inflation. We improve upon previous estimates indicating that this can be an efficient reheating mechanism for observers on the brane. |
2201.12131 | Herbert Weigel | N. Graham, H. Weigel | Quantum Corrections to Soliton Energies | 40 pages, invited review submitted to a special volume on Casimir
Physics (K. Milton, ed.) | Int. J. Mod. Phys. A37 (2022) 2241004 | 10.1142/S0217751X22410044 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review recent progress in the computation of leading quantum corrections
to the energies of classical solitons with topological structure, including
multi-soliton models in one space dimension and string configurations in three
space dimensions. Taking advantage of analytic continuation techniques to
efficiently organize the calculations, we show how quantum corrections affect
the stability of solitons in the Shifman-Voloshin model, stabilize charged
electroweak strings coupled to a heavy fermion doublet, and bind Nielsen-Olesen
vortices at the classical transition between type I and type II
superconductors.
| [
{
"created": "Fri, 28 Jan 2022 14:12:39 GMT",
"version": "v1"
}
] | 2022-04-28 | [
[
"Graham",
"N.",
""
],
[
"Weigel",
"H.",
""
]
] | We review recent progress in the computation of leading quantum corrections to the energies of classical solitons with topological structure, including multi-soliton models in one space dimension and string configurations in three space dimensions. Taking advantage of analytic continuation techniques to efficiently organize the calculations, we show how quantum corrections affect the stability of solitons in the Shifman-Voloshin model, stabilize charged electroweak strings coupled to a heavy fermion doublet, and bind Nielsen-Olesen vortices at the classical transition between type I and type II superconductors. |
hep-th/0205189 | Davoud Kamani | Davoud Kamani | Space-Time Symmetries, T-Duality and Gauge Theory | 10 pages, Latex, no figure | Phys.Lett. B541 (2002) 406-410 | 10.1016/S0370-2693(02)02262-1 | null | hep-th | null | In this paper we study U(1) gauge transformations on the space-time
coordinates and on the background fields $g_{\mu\nu}$ and $\phi$. For some
special gauge functions, gauged coordinates and gauged U(1) field are
equivalent to the rotated coordinates and rotated gauge field. We find gauge
transformations that are symmetries of the string action. Also we obtain
general $T$-duality transformations for the background fields. For special
background fields this duality is equivalent to a gauge transformation.
| [
{
"created": "Sat, 18 May 2002 15:25:02 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kamani",
"Davoud",
""
]
] | In this paper we study U(1) gauge transformations on the space-time coordinates and on the background fields $g_{\mu\nu}$ and $\phi$. For some special gauge functions, gauged coordinates and gauged U(1) field are equivalent to the rotated coordinates and rotated gauge field. We find gauge transformations that are symmetries of the string action. Also we obtain general $T$-duality transformations for the background fields. For special background fields this duality is equivalent to a gauge transformation. |
hep-th/9303041 | null | J. Ambjorn, S. Jain, J. Jurkiewicz and C.F. Kristjansen | Observing 4D Baby Universes in Quantum Gravity | 10 pages, 3 figures (available by request as PS files) | Phys.Lett. B305 (1993) 208-213 | 10.1016/0370-2693(93)90109-U | NBI-HE-93-2 | hep-th gr-qc hep-lat | null | We measure the fractal structure of four dimensional simplicial quantum
gravity by identifying so-called baby universes. This allows an easy
determination of the critical exponent $\g$ connected to the entropy of
four-dimensional manifolds.
| [
{
"created": "Mon, 8 Mar 1993 14:37:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Ambjorn",
"J.",
""
],
[
"Jain",
"S.",
""
],
[
"Jurkiewicz",
"J.",
""
],
[
"Kristjansen",
"C. F.",
""
]
] | We measure the fractal structure of four dimensional simplicial quantum gravity by identifying so-called baby universes. This allows an easy determination of the critical exponent $\g$ connected to the entropy of four-dimensional manifolds. |
1505.06838 | John Dixon | John A. Dixon | An Extraordinary Mass Invariant and an Obstruction in a Massive
Superspin One Half Model made with a Chiral Dotted Spinor Superfield | 18 pages,reference brought up to date | null | 10.1016/j.physletb.2015.07.056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An earlier paper introduced an action for a new kind of irreducible massive
superspin one half multiplet, using BRST cohomological techniques including
`BRST Recycling'. A mass term was introduced in the earlier paper. A second
mass term is discussed in this paper. This new mass invariant is an
`Extraordinary Invariant'--it has Zinn sources in it. The natural treatment for
this situation is to `Complete the Action' so that the new action yields zero
for the BRST Poisson Bracket. In the present case, this Completion meets a BRST
Obstruction. Setting the coefficient of this `Completion Obstruction' to zero
restores the massive superspin one half supermultiplet with a new mass made
from the two mass terms. Usually an Obstruction appears as an Anomaly at one
loop perturbation theory, but this is a different mechanism to produce it.
| [
{
"created": "Tue, 26 May 2015 07:59:34 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jun 2015 06:53:33 GMT",
"version": "v2"
}
] | 2015-09-30 | [
[
"Dixon",
"John A.",
""
]
] | An earlier paper introduced an action for a new kind of irreducible massive superspin one half multiplet, using BRST cohomological techniques including `BRST Recycling'. A mass term was introduced in the earlier paper. A second mass term is discussed in this paper. This new mass invariant is an `Extraordinary Invariant'--it has Zinn sources in it. The natural treatment for this situation is to `Complete the Action' so that the new action yields zero for the BRST Poisson Bracket. In the present case, this Completion meets a BRST Obstruction. Setting the coefficient of this `Completion Obstruction' to zero restores the massive superspin one half supermultiplet with a new mass made from the two mass terms. Usually an Obstruction appears as an Anomaly at one loop perturbation theory, but this is a different mechanism to produce it. |
0708.3926 | Hrvoje Nikolic | H. Nikolic | Can we trust semiclassical description of particle creation? | 4 pages | null | null | null | hep-th gr-qc hep-ph | null | The predictions of the semiclassical description of particle creation based
on QFT in classical backgrounds may be significantly modified when the source
of the classical background is also quantized and backreaction is taken into
account. In the cases of a stable charged particle, expanding empty (Milne)
universe, and de Sitter universe with a true cosmological constant, the
semiclassical particle creation is completely blocked up.
| [
{
"created": "Wed, 29 Aug 2007 10:14:51 GMT",
"version": "v1"
}
] | 2007-08-30 | [
[
"Nikolic",
"H.",
""
]
] | The predictions of the semiclassical description of particle creation based on QFT in classical backgrounds may be significantly modified when the source of the classical background is also quantized and backreaction is taken into account. In the cases of a stable charged particle, expanding empty (Milne) universe, and de Sitter universe with a true cosmological constant, the semiclassical particle creation is completely blocked up. |
hep-th/0412149 | J. M. Drummond | J. M. Drummond, S. F. Kerstan | Kappa-symmetric deformations of M5-brane dynamics | 17 pages. Additional comments in section 5 | JHEP 0506 (2005) 003 | 10.1088/1126-6708/2005/06/003 | null | hep-th | null | We calculate the first supersymmetric and kappa-symmetric derivative
deformation of the M5-brane worldvolume theory in a flat eleven-dimensional
background. By applying cohomological techniques we obtain a deformation of the
standard constraint of the superembedding formalism. The first possible
deformation of the constraint and hence the equations of motion arises at cubic
order in fields and fourth order in a fundamental length scale $l$. The
deformation is unique up to this order. In particular this rules out any
induced Einstein-Hilbert terms on the worldvolume. We explicitly calculate
corrections to the equations of motion for the tensor gauge supermultiplet.
| [
{
"created": "Tue, 14 Dec 2004 17:18:03 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2005 10:58:26 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Drummond",
"J. M.",
""
],
[
"Kerstan",
"S. F.",
""
]
] | We calculate the first supersymmetric and kappa-symmetric derivative deformation of the M5-brane worldvolume theory in a flat eleven-dimensional background. By applying cohomological techniques we obtain a deformation of the standard constraint of the superembedding formalism. The first possible deformation of the constraint and hence the equations of motion arises at cubic order in fields and fourth order in a fundamental length scale $l$. The deformation is unique up to this order. In particular this rules out any induced Einstein-Hilbert terms on the worldvolume. We explicitly calculate corrections to the equations of motion for the tensor gauge supermultiplet. |
0904.0089 | Durmus Demir | Durmus A. Demir and N. K. Pak | General Tensor Lagrangians from Gravitational Higgs Mechanism | 20 pp; added a reference | null | 10.1088/0264-9381/26/10/105018 | IZTECH-P-2009/04 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gravitational Higgs mechanism proposed by 't Hooft in arXiv:0708.3184
involves the spacetime metric g_{mu nu} as well as the induced metric
\bar{g}_{mu nu} proportional to \eta_{a b} \partial_{mu} \phi^a \partial_{nu}
\phi^b where \phi^{a} (a=0,...,3), as we call it, break all four
diffeomorphisms spontaneously via the vacuum expectation values < \phi^a >
proportional to x^a. In this framework, we construct and analyze the most
general action density in terms of various invariants involving the curvature
tensors, connexion coefficients, and the contractions and the determinants of
the two metric fields. We show that this action admits a consistent expansion
about the flat background such that the resulting Lagrangian possesses several
novel features not found in the linearized Einstein-Hilbert Lagrangian with
Fierz-Pauli mass term (LELHL-FP): (i) its kinetic part generalizes that of
LELHL-FP by weighing the corresponding structures with certain coefficients
generated by invariants, (ii) the entire Lagrangian is ghost-- and
tachyon--free for mass terms not necessarily in the Fierz-Pauli form, and,
(iii) a consistent mass term is generated with no apparent need to higher
derivative couplings.
| [
{
"created": "Wed, 1 Apr 2009 08:23:22 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Apr 2009 21:51:46 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Demir",
"Durmus A.",
""
],
[
"Pak",
"N. K.",
""
]
] | The gravitational Higgs mechanism proposed by 't Hooft in arXiv:0708.3184 involves the spacetime metric g_{mu nu} as well as the induced metric \bar{g}_{mu nu} proportional to \eta_{a b} \partial_{mu} \phi^a \partial_{nu} \phi^b where \phi^{a} (a=0,...,3), as we call it, break all four diffeomorphisms spontaneously via the vacuum expectation values < \phi^a > proportional to x^a. In this framework, we construct and analyze the most general action density in terms of various invariants involving the curvature tensors, connexion coefficients, and the contractions and the determinants of the two metric fields. We show that this action admits a consistent expansion about the flat background such that the resulting Lagrangian possesses several novel features not found in the linearized Einstein-Hilbert Lagrangian with Fierz-Pauli mass term (LELHL-FP): (i) its kinetic part generalizes that of LELHL-FP by weighing the corresponding structures with certain coefficients generated by invariants, (ii) the entire Lagrangian is ghost-- and tachyon--free for mass terms not necessarily in the Fierz-Pauli form, and, (iii) a consistent mass term is generated with no apparent need to higher derivative couplings. |
hep-th/9610172 | Steven S. Gubser | C.G. Callan, S.S. Gubser, I.R. Klebanov, and A.A. Tseytlin | Absorption of Fixed scalars and the D-brane Approach to Black Holes | 33 pages, harvmac, version to appear in Nucl. Phys. B | Nucl.Phys.B489:65-94,1997 | 10.1016/S0550-3213(97)00013-8 | PUPT-1650, CERN-TH/96-270, Imperial/TP/95-96/71 | hep-th gr-qc | null | We calculate the emission and absorption rates of fixed scalars by the
near-extremal five-dimensional black holes that have recently been modeled
using intersecting D-branes. We find agreement between the semi-classical and
D-brane computations. At low energies the fixed scalar absorption cross-section
is smaller than for ordinary scalars and depends on other properties of the
black hole than just the horizon area. In the D-brane description, fixed scalar
absorption is suppressed because these scalars must split into at least four,
rather than two, open strings running along the D-brane. Consequently, this
comparison provides a more sensitive test of the effective string picture of
the D-brane bound state than does the cross-section for ordinary scalars. In
particular, it allows us to read off the value of the effective string tension.
That value is precisely what is needed to reproduce the near-extremal 5-brane
entropy.
| [
{
"created": "Tue, 22 Oct 1996 21:50:35 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Oct 1996 00:09:47 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Nov 1996 21:50:31 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Dec 1996 20:16:17 GMT",
"version": "v4"
}
] | 2009-07-09 | [
[
"Callan",
"C. G.",
""
],
[
"Gubser",
"S. S.",
""
],
[
"Klebanov",
"I. R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We calculate the emission and absorption rates of fixed scalars by the near-extremal five-dimensional black holes that have recently been modeled using intersecting D-branes. We find agreement between the semi-classical and D-brane computations. At low energies the fixed scalar absorption cross-section is smaller than for ordinary scalars and depends on other properties of the black hole than just the horizon area. In the D-brane description, fixed scalar absorption is suppressed because these scalars must split into at least four, rather than two, open strings running along the D-brane. Consequently, this comparison provides a more sensitive test of the effective string picture of the D-brane bound state than does the cross-section for ordinary scalars. In particular, it allows us to read off the value of the effective string tension. That value is precisely what is needed to reproduce the near-extremal 5-brane entropy. |
1605.02745 | Matias Leoni | Marco S. Bianchi, Matias Leoni | An exact limit of ABJM | 5 pages | Phys. Rev. D 94, 045011 (2016) | 10.1103/PhysRevD.94.045011 | QMUL-PH-16- | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study planar ABJM in a limit where one coupling is negligible compared to
the other. We provide a recipe for exactly solving the expectation value of
bosonic BPS Wilson loops on arbitrary smooth contours, or the leading
divergence for cusped ones, using results from localization. As an application,
we compute the exact (generalized) cusp anomalous dimension and Bremsstrahlung
function and use it to determine the interpolating $h$-function. We finally
prove a conjecture on the exact form of the dilatation operator in a closed
sector, hinting at the integrability of this limit.
| [
{
"created": "Mon, 9 May 2016 20:00:15 GMT",
"version": "v1"
}
] | 2016-08-31 | [
[
"Bianchi",
"Marco S.",
""
],
[
"Leoni",
"Matias",
""
]
] | We study planar ABJM in a limit where one coupling is negligible compared to the other. We provide a recipe for exactly solving the expectation value of bosonic BPS Wilson loops on arbitrary smooth contours, or the leading divergence for cusped ones, using results from localization. As an application, we compute the exact (generalized) cusp anomalous dimension and Bremsstrahlung function and use it to determine the interpolating $h$-function. We finally prove a conjecture on the exact form of the dilatation operator in a closed sector, hinting at the integrability of this limit. |
1711.03220 | Yuri Gomes | Y.M.P. Gomes and J. A. Helayel-Neto | On a Five-Dimensional Chern-Simons AdS Supergravity without gravitino | Some references were added | null | 10.1016/j.physletb.2017.12.037 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on recent discussions on the so-called unconventional supersymmetry, we
propose a 5D Chern-Simons AdS-$\mathcal{N}$-SUGRA formulation without gravitino
fields and show that a residual local SUSY is preserved. We explore the
properties of CS theories to find a solution to the field equations in a 5D
manifold. With a Randall-Sundrum-type ansatz, we show that this particular
dimensional reduction is compatible with SUSY, and some classes of 4D solutions
are then analyzed.
| [
{
"created": "Thu, 9 Nov 2017 00:49:00 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Nov 2017 16:40:38 GMT",
"version": "v2"
}
] | 2018-04-17 | [
[
"Gomes",
"Y. M. P.",
""
],
[
"Helayel-Neto",
"J. A.",
""
]
] | Based on recent discussions on the so-called unconventional supersymmetry, we propose a 5D Chern-Simons AdS-$\mathcal{N}$-SUGRA formulation without gravitino fields and show that a residual local SUSY is preserved. We explore the properties of CS theories to find a solution to the field equations in a 5D manifold. With a Randall-Sundrum-type ansatz, we show that this particular dimensional reduction is compatible with SUSY, and some classes of 4D solutions are then analyzed. |
hep-th/9812232 | Ryu Sasaki | A.J. Bordner, R. Sasaki (YITP, Kyoto) | Calogero-Moser Models III: Elliptic Potentials and Twisting | LaTeX2e with amsfonts.sty, 36 pages, no figures | Prog.Theor.Phys. 101 (1999) 799-829 | 10.1143/PTP.101.799 | YITP-98-76 | hep-th math-ph math.MP nlin.SI solv-int | null | Universal Lax pairs of the root type with spectral parameter and independent
coupling constants for twisted non-simply laced Calogero-Moser models are
constructed. Together with the Lax pairs for the simply laced models and
untwisted non-simply laced models presented in two previous papers, this
completes the derivation of universal Lax pairs for all of the Calogero-Moser
models based on root systems. As for the twisted models based on B_n, C_n and
BC_nroot systems, a new type of potential term with independent coupling
constants can be added without destroying integrability. They are called
extended twisted models. All of the Lax pairs for the twisted models presented
here are new, except for the one for the F_4 model based on the short roots.
The Lax pairs for the twisted G_2 model have some novel features. Derivation of
various functions, twisted and untwisted, appearing in the Lax pairs for
elliptic potentials with the spectral parameter is provided. The origin of the
spectral parameter is also naturally explained. The Lax pairs with spectral
parameter, twisted and untwisted, for the hyperbolic, the trigonometric and the
rational potential models are obtained as degenerate limits of those for the
elliptic potential models.
| [
{
"created": "Fri, 25 Dec 1998 08:07:41 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bordner",
"A. J.",
"",
"YITP, Kyoto"
],
[
"Sasaki",
"R.",
"",
"YITP, Kyoto"
]
] | Universal Lax pairs of the root type with spectral parameter and independent coupling constants for twisted non-simply laced Calogero-Moser models are constructed. Together with the Lax pairs for the simply laced models and untwisted non-simply laced models presented in two previous papers, this completes the derivation of universal Lax pairs for all of the Calogero-Moser models based on root systems. As for the twisted models based on B_n, C_n and BC_nroot systems, a new type of potential term with independent coupling constants can be added without destroying integrability. They are called extended twisted models. All of the Lax pairs for the twisted models presented here are new, except for the one for the F_4 model based on the short roots. The Lax pairs for the twisted G_2 model have some novel features. Derivation of various functions, twisted and untwisted, appearing in the Lax pairs for elliptic potentials with the spectral parameter is provided. The origin of the spectral parameter is also naturally explained. The Lax pairs with spectral parameter, twisted and untwisted, for the hyperbolic, the trigonometric and the rational potential models are obtained as degenerate limits of those for the elliptic potential models. |
2201.02165 | Alessandro Mininno | Federico Carta, Alessandro Mininno, Pramod Shukla | Divisor topologies of CICY 3-folds and their applications to
phenomenology | v2: added clarifications and references, JHEP accepted v1: 24 pages +
2 appendices. A database as Mathematica notebook is given as ancillary | JHEP 05 (2022) 101 | 10.1007/JHEP05(2022)101 | ZMP-HH/22-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, we present a classification for the divisor topologies of
the projective complete intersection Calabi-Yau (pCICY) 3-folds realized as
hypersurfaces in the product of complex projective spaces. There are 7890 such
pCICYs of which 7820 are favorable, and can be subsequently useful for
phenomenological purposes. To our surprise we find that the whole pCICY
database results in only 11 (so-called coordinate) divisors $(D)$ of distinct
topology and we classify those surfaces with their possible deformations inside
the pCICY 3-fold, which turn out to be satisfying $1 \leq h^{2,0}(D) \leq 7$.
We also present a classification of the so-called ample divisors for all the
favorable pCICYs which can be useful for fixing all the (saxionic) K\"ahler
moduli through a single non-perturbative term in the superpotential. We argue
that this relatively unexplored pCICY dataset equipped with the necessary model
building ingredients, can be used for a systematic search of physical vacua. To
illustrate this for model building in the context of type IIB CY orientifold
compactifications, we present moduli stabilization with some preliminary
analysis of searching possible vacua in simple models, as a template to be
adopted for analyzing models with a larger number of K\"ahler moduli.
| [
{
"created": "Thu, 6 Jan 2022 18:09:17 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2022 07:42:16 GMT",
"version": "v2"
}
] | 2022-05-31 | [
[
"Carta",
"Federico",
""
],
[
"Mininno",
"Alessandro",
""
],
[
"Shukla",
"Pramod",
""
]
] | In this article, we present a classification for the divisor topologies of the projective complete intersection Calabi-Yau (pCICY) 3-folds realized as hypersurfaces in the product of complex projective spaces. There are 7890 such pCICYs of which 7820 are favorable, and can be subsequently useful for phenomenological purposes. To our surprise we find that the whole pCICY database results in only 11 (so-called coordinate) divisors $(D)$ of distinct topology and we classify those surfaces with their possible deformations inside the pCICY 3-fold, which turn out to be satisfying $1 \leq h^{2,0}(D) \leq 7$. We also present a classification of the so-called ample divisors for all the favorable pCICYs which can be useful for fixing all the (saxionic) K\"ahler moduli through a single non-perturbative term in the superpotential. We argue that this relatively unexplored pCICY dataset equipped with the necessary model building ingredients, can be used for a systematic search of physical vacua. To illustrate this for model building in the context of type IIB CY orientifold compactifications, we present moduli stabilization with some preliminary analysis of searching possible vacua in simple models, as a template to be adopted for analyzing models with a larger number of K\"ahler moduli. |
1608.04380 | Paul K. Townsend | Alex S. Arvanitakis, Alec E. Barns-Graham, and Paul K. Townsend | Anti-de Sitter particles and manifest (super)isometries | 5 pages. 5 pp. Version to be published. Includes various minor
corrections and additions, and some additional references | Phys. Rev. Lett. 118, 141601 (2017) | 10.1103/PhysRevLett.118.141601 | DAMTP-2016-56 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the classical action for a spin-zero particle in a
D-dimensional anti-Sitter (AdS) spacetime, we recover the
Breitenlohner-Freedman bound by quantization. For D=4,5,7, and using an Sl(2;K)
spinor notation for K=R,C,H, we find a bi-twistor form of the action for which
the AdS isometry group is linearly realised, although only for zero mass when
D=4,7, in agreement with previous constructions. For zero mass and D=4, the
conformal isometry group is linearly realized. We extend these results to the
superparticle in the maximally supersymmetric "AdS x S" string/M-theory vacua,
showing that quantization yields a 128+128 component supermultiplet. We also
extend them to the null string.
| [
{
"created": "Mon, 15 Aug 2016 19:59:04 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Oct 2016 08:56:18 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Oct 2016 12:31:19 GMT",
"version": "v3"
},
{
"created": "Sat, 1 Apr 2017 13:45:51 GMT",
"version": "v4"
}
] | 2017-04-12 | [
[
"Arvanitakis",
"Alex S.",
""
],
[
"Barns-Graham",
"Alec E.",
""
],
[
"Townsend",
"Paul K.",
""
]
] | Starting from the classical action for a spin-zero particle in a D-dimensional anti-Sitter (AdS) spacetime, we recover the Breitenlohner-Freedman bound by quantization. For D=4,5,7, and using an Sl(2;K) spinor notation for K=R,C,H, we find a bi-twistor form of the action for which the AdS isometry group is linearly realised, although only for zero mass when D=4,7, in agreement with previous constructions. For zero mass and D=4, the conformal isometry group is linearly realized. We extend these results to the superparticle in the maximally supersymmetric "AdS x S" string/M-theory vacua, showing that quantization yields a 128+128 component supermultiplet. We also extend them to the null string. |
1605.05813 | Kazuo Fujikawa | Kazuo Fujikawa | Dimensional regularization is generic | 20 pages. To be published in the Proceedings of Conference on New
Physics at the Large Hadron Collider, Nanyang Technological University,
Singapore, 29 February to 4 March, 2016 | Int. J. Mod. Phys. A{\bf 31}, no.25, 1630042 (2016) | 10.1142/S0217751X16300428 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The absence of the quadratic divergence in the Higgs sector of the Standard
Model in the dimensional regularization is usually regarded to be an
exceptional property of a specific regularization. To understand what is going
on in the dimensional regularization, we illustrate how to reproduce the
results of the dimensional regularization for the $\lambda\phi^{4}$ theory in
the more conventional regularization such as the higher derivative
regularization; the basic postulate involved is that the quadratically
divergent induced mass, which is independent of the scale change of the
physical mass, is kinematical and unphysical. This is consistent with the
derivation of the Callan-Symanzik equation, which is a comparison of two
theories with slightly different masses, for the $\lambda\phi^{4}$ theory
without encountering the quadratic divergence. We thus suggest that the
dimensional regularization is generic in a bottom-up approach starting with a
successful low-energy theory. We also define a modified version of the mass
independent renormalization for a scalar field which leads to the homogeneous
renormalization group equation. Implications of the present analysis on the
Standard Model at high energies and the presence or absence of SUSY at LHC
energies are briefly discussed.
| [
{
"created": "Thu, 19 May 2016 05:34:29 GMT",
"version": "v1"
}
] | 2016-10-03 | [
[
"Fujikawa",
"Kazuo",
""
]
] | The absence of the quadratic divergence in the Higgs sector of the Standard Model in the dimensional regularization is usually regarded to be an exceptional property of a specific regularization. To understand what is going on in the dimensional regularization, we illustrate how to reproduce the results of the dimensional regularization for the $\lambda\phi^{4}$ theory in the more conventional regularization such as the higher derivative regularization; the basic postulate involved is that the quadratically divergent induced mass, which is independent of the scale change of the physical mass, is kinematical and unphysical. This is consistent with the derivation of the Callan-Symanzik equation, which is a comparison of two theories with slightly different masses, for the $\lambda\phi^{4}$ theory without encountering the quadratic divergence. We thus suggest that the dimensional regularization is generic in a bottom-up approach starting with a successful low-energy theory. We also define a modified version of the mass independent renormalization for a scalar field which leads to the homogeneous renormalization group equation. Implications of the present analysis on the Standard Model at high energies and the presence or absence of SUSY at LHC energies are briefly discussed. |
1409.3545 | Domenico Seminara | S. Deser and D. Seminara | Duality invariance of $s \ge 3/2$ fermions in AdS | 3 pages | Phys. Lett. B738, (2014) pag 323-324 | 10.1016/j.physletb.2014.09.058 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that in D=4 AdS, $s\ge 3/2$ partially massless (PM) fermions retain
the duality invariances of their flat space massless counterparts. They have
tuned ratios $ {m^2}/{M^2}\ne 0$ that turn them into sums of effectively
massless unconstrained helicity $\pm(s,\cdots,\frac{3}{2})$ excitations, shorn
of the lowest (non-dual)\helicity $\pm \frac{1}{2}$-rung and -more generally-
of succeeding higher rung as well. Each helicity mode is separately duality
invariant, like its flat space counterpart.
| [
{
"created": "Thu, 11 Sep 2014 19:06:34 GMT",
"version": "v1"
}
] | 2014-10-16 | [
[
"Deser",
"S.",
""
],
[
"Seminara",
"D.",
""
]
] | We show that in D=4 AdS, $s\ge 3/2$ partially massless (PM) fermions retain the duality invariances of their flat space massless counterparts. They have tuned ratios $ {m^2}/{M^2}\ne 0$ that turn them into sums of effectively massless unconstrained helicity $\pm(s,\cdots,\frac{3}{2})$ excitations, shorn of the lowest (non-dual)\helicity $\pm \frac{1}{2}$-rung and -more generally- of succeeding higher rung as well. Each helicity mode is separately duality invariant, like its flat space counterpart. |
hep-th/0508011 | Christoph Adam | C. Adam, J. Sanchez-Guillen | Generalized integrability conditions and target space geometry | 14 pages, Latex | Phys.Lett. B626 (2005) 235-242 | 10.1016/j.physletb.2005.08.093 | null | hep-th | null | In some higher dimensional nonlinear field theories integrable subsectors
with infinitely many conservation laws have been identified by imposing
additional integrability conditions. Originally, the complex eikonal equation
was chosen as integrability condition, but recently further generalizations
have been proposed. Here we show how these new integrability conditions may be
derived from the geometry of the target space and, more precisely, from the
Noether currents related to a certain class of target space transformations.
| [
{
"created": "Mon, 1 Aug 2005 12:37:47 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
]
] | In some higher dimensional nonlinear field theories integrable subsectors with infinitely many conservation laws have been identified by imposing additional integrability conditions. Originally, the complex eikonal equation was chosen as integrability condition, but recently further generalizations have been proposed. Here we show how these new integrability conditions may be derived from the geometry of the target space and, more precisely, from the Noether currents related to a certain class of target space transformations. |
hep-th/9602136 | Andrei Linde | Sergio Ferrara and Renata Kallosh | Supersymmetry and Attractors | 20 pages, 2 figures, LaTeX. few misprints removed, version to appear
in Phys. Rev. D | Phys. Rev. D 54, 1514 (1996) | 10.1103/PhysRevD.54.1514 | CERN-TH/96-53, SU-ITP-96-8 | hep-th | null | We find a general principle which allows one to compute the area of the
horizon of N=2 extremal black holes as an extremum of the central charge. One
considers the ADM mass equal to the central charge as a function of electric
and magnetic charges and moduli and extremizes this function in the moduli
space (a minimum corresponds to a fixed point of attraction). The extremal
value of the square of the central charge provides the area of the horizon,
which depends only on electric and magnetic charges. The doubling of unbroken
supersymmetry at the fixed point of attraction for N=2 black holes near the
horizon is derived via conformal flatness of the Bertotti-Robinson-type
geometry. These results provide an explicit model independent expression for
the macroscopic Bekenstein-Hawking entropy of N=2 black holes which is
manifestly duality invariant. The presence of hypermultiplets in the solution
does not affect the area formula. Various examples of the general formula are
displayed. We outline the attractor mechanism in N=4,8 supersymmetries and the
relation to the N=2 case. The entropy-area formula in five dimensions, recently
discussed in the literature, is also seen to be obtained by extremizing the 5d
central charge.
| [
{
"created": "Mon, 26 Feb 1996 05:43:10 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 1996 06:18:34 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Jun 1996 00:00:13 GMT",
"version": "v3"
}
] | 2016-08-24 | [
[
"Ferrara",
"Sergio",
""
],
[
"Kallosh",
"Renata",
""
]
] | We find a general principle which allows one to compute the area of the horizon of N=2 extremal black holes as an extremum of the central charge. One considers the ADM mass equal to the central charge as a function of electric and magnetic charges and moduli and extremizes this function in the moduli space (a minimum corresponds to a fixed point of attraction). The extremal value of the square of the central charge provides the area of the horizon, which depends only on electric and magnetic charges. The doubling of unbroken supersymmetry at the fixed point of attraction for N=2 black holes near the horizon is derived via conformal flatness of the Bertotti-Robinson-type geometry. These results provide an explicit model independent expression for the macroscopic Bekenstein-Hawking entropy of N=2 black holes which is manifestly duality invariant. The presence of hypermultiplets in the solution does not affect the area formula. Various examples of the general formula are displayed. We outline the attractor mechanism in N=4,8 supersymmetries and the relation to the N=2 case. The entropy-area formula in five dimensions, recently discussed in the literature, is also seen to be obtained by extremizing the 5d central charge. |
2306.17677 | Tigran Hakobyan | Tigran Hakobyan | Dunkl symplectic algebra in generalized Calogero models | 13 pages | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study the properties of the symplectic sp(2N) algebra deformed by means of
the Dunkl operators, which describe the dynamical symmetry of the generalized
N-particle Calogero model. It contains a symmetry subalgebra formed by the
deformed unitary generators as well as the (nondeformed) sl(2,R) conformal
subalgebra. An explicit relation among the deformed symplectic generators is
derived. Based on matching between the Casimir elements of the conformal spin
and Dunkl angular momentum algebras, the wavefunctions of the both the standard
and generalized Calogero models, being expressed in terms of the deformed
spherical harmonics, are classified according to infinite-dimensional
lowest-state sl(2,R) multiplets. Meanwhile, any polynomial integral of motion
of the (generalized) Calogero-Moser model generates a finite-dimensional
highest-state conformal multiplet with descendants expressed via the
Weyl-ordered product in quantum field theory.
| [
{
"created": "Fri, 30 Jun 2023 14:07:45 GMT",
"version": "v1"
}
] | 2023-07-03 | [
[
"Hakobyan",
"Tigran",
""
]
] | We study the properties of the symplectic sp(2N) algebra deformed by means of the Dunkl operators, which describe the dynamical symmetry of the generalized N-particle Calogero model. It contains a symmetry subalgebra formed by the deformed unitary generators as well as the (nondeformed) sl(2,R) conformal subalgebra. An explicit relation among the deformed symplectic generators is derived. Based on matching between the Casimir elements of the conformal spin and Dunkl angular momentum algebras, the wavefunctions of the both the standard and generalized Calogero models, being expressed in terms of the deformed spherical harmonics, are classified according to infinite-dimensional lowest-state sl(2,R) multiplets. Meanwhile, any polynomial integral of motion of the (generalized) Calogero-Moser model generates a finite-dimensional highest-state conformal multiplet with descendants expressed via the Weyl-ordered product in quantum field theory. |
hep-th/0206061 | Cornelius Paufler | K. Pohlmeyer and M. Trunk | The Invariant Charges of the Nambu-Goto String Theory: Quantization of
Non-Additive Composition Laws | 23 pages LaTeX | Int.J.Mod.Phys. A19 (2004) 115-148 | 10.1142/S0217751X04016957 | null | hep-th | null | We examine and implement the concept of non-additive composition laws in the
quantum theory of closed bosonic strings moving in (3+1)-dimensional Minkowski
space. Such laws supply exact selection rules for the merging and splitting of
closed strings.
| [
{
"created": "Fri, 7 Jun 2002 17:01:38 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Pohlmeyer",
"K.",
""
],
[
"Trunk",
"M.",
""
]
] | We examine and implement the concept of non-additive composition laws in the quantum theory of closed bosonic strings moving in (3+1)-dimensional Minkowski space. Such laws supply exact selection rules for the merging and splitting of closed strings. |
hep-th/0411253 | Andreas Gustavsson | Andreas Gustavsson | Dynamics of a wavy plane Wilson surface observable from AdS-CFT
correspondence | 23 pages, v2: clarifications, some numerical factors corrected | JHEP0501:022,2005 | 10.1088/1126-6708/2005/01/022 | null | hep-th | null | Guided by the paper hep-th/0002106 by Polyakov and Rychkov, we compute the
second variational derivative of a wavy plane Wilson surface observable, to
find that a necessary condition for a proposed surface equation to be satisfied
in the large $N$ limit is that we are in the critical dimension D=6.
| [
{
"created": "Sun, 28 Nov 2004 22:06:39 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jan 2005 20:52:47 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gustavsson",
"Andreas",
""
]
] | Guided by the paper hep-th/0002106 by Polyakov and Rychkov, we compute the second variational derivative of a wavy plane Wilson surface observable, to find that a necessary condition for a proposed surface equation to be satisfied in the large $N$ limit is that we are in the critical dimension D=6. |
hep-th/9808147 | J. W. van Holten | S. Groot Nibbelink and J.W. van Holten | Matter coupling and anomaly cancellation in supersymmetric sigma-models | 10 pages, no figures | Phys.Lett.B442:185-191,1998 | 10.1016/S0370-2693(98)01213-1 | NIKHEF/98-028 | hep-th hep-ph | null | Generalized matter couplings to four-dimensional supersymmetric sigma models
on general Kaehler manifolds are presented, preserving all holomorphic
symmetries. Our generalization allows assignment of arbitrary U(1) charges to
additional matter fermions, in all representations of (the holomorphic part of)
the isometry group. This can be used to eliminate unwanted gamma_5 anomalies,
in particular for the U(1) symmetry arising from the complex structure of the
target space. A consistent gauging of this isometry group, or any of its
subgroups, then becomes possible. When gauged in the presence of a chiral
scalar multiplet, the U(1) symmetry is broken spontaneously, generating a mass
for the U(1) vector multiplet via the supersymmetric Higgs effect. As an
example we discuss the case of the homogeneous coset space E6/SO(10) x U(1).
| [
{
"created": "Mon, 24 Aug 1998 13:11:24 GMT",
"version": "v1"
}
] | 2011-10-11 | [
[
"Nibbelink",
"S. Groot",
""
],
[
"van Holten",
"J. W.",
""
]
] | Generalized matter couplings to four-dimensional supersymmetric sigma models on general Kaehler manifolds are presented, preserving all holomorphic symmetries. Our generalization allows assignment of arbitrary U(1) charges to additional matter fermions, in all representations of (the holomorphic part of) the isometry group. This can be used to eliminate unwanted gamma_5 anomalies, in particular for the U(1) symmetry arising from the complex structure of the target space. A consistent gauging of this isometry group, or any of its subgroups, then becomes possible. When gauged in the presence of a chiral scalar multiplet, the U(1) symmetry is broken spontaneously, generating a mass for the U(1) vector multiplet via the supersymmetric Higgs effect. As an example we discuss the case of the homogeneous coset space E6/SO(10) x U(1). |
hep-th/0204115 | Nikos Mavromatos | N. E. Mavromatos (King's Coll. London) | Acceleration of the Universe in Type-0 Non-Critical Strings: a Review | 10 pages LATEX, 3 eps figures incorporated, Proceedings of Corfu 2001
Workshop on high energy physics, Corfu (Greece), September 2001 | null | null | null | hep-th astro-ph gr-qc | null | I review cosmology within the framework of type-0 non-critical strings,
proposed in collaboration with G. Diamandis, B. Georgalas, E. Papantonopoulos
and I. Pappa. The instabilities of the tachyonic backgrounds, due to the
absence of space-time supersymmetry, are treated in this framework as a
necessary ingredient to ensure cosmological flow. The model involves D3 brane
worlds, whose initial quantum fluctuations induce the non criticality. I argue
that this model is compatible with the current astrophysical observations
pointing towards acceleration of the Universe. A crucial r\^ole for the correct
``phenomenology'' of the model, in particular the order-one value of the
deceleration parameter, is played by the relative magnitude of the flux of the
five form of the type-0 string as compared to the size of the volume of five of
the extra dimensions, transverse to the direction of the flux-field.
| [
{
"created": "Sun, 14 Apr 2002 11:08:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mavromatos",
"N. E.",
"",
"King's Coll. London"
]
] | I review cosmology within the framework of type-0 non-critical strings, proposed in collaboration with G. Diamandis, B. Georgalas, E. Papantonopoulos and I. Pappa. The instabilities of the tachyonic backgrounds, due to the absence of space-time supersymmetry, are treated in this framework as a necessary ingredient to ensure cosmological flow. The model involves D3 brane worlds, whose initial quantum fluctuations induce the non criticality. I argue that this model is compatible with the current astrophysical observations pointing towards acceleration of the Universe. A crucial r\^ole for the correct ``phenomenology'' of the model, in particular the order-one value of the deceleration parameter, is played by the relative magnitude of the flux of the five form of the type-0 string as compared to the size of the volume of five of the extra dimensions, transverse to the direction of the flux-field. |
2309.04519 | Carmine Montella | Ivano Basile, Carmine Montella | Domain walls and distances in discrete landscapes | 30 pages, 3 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore a notion of distance between vacua of a discrete landscape that
takes into account scalar potentials and fluxes via transitions mediated by
domain walls. Such settings commonly arise in supergravity and string
compactifications with stabilized moduli. We derive general bounds and simple
estimates in supergravity which constrain deviations from the ordinary
swampland distance conjecture based on moduli space geodesics, and we connect
this picture to renormalization group flows via holography.
| [
{
"created": "Fri, 8 Sep 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-09-12 | [
[
"Basile",
"Ivano",
""
],
[
"Montella",
"Carmine",
""
]
] | We explore a notion of distance between vacua of a discrete landscape that takes into account scalar potentials and fluxes via transitions mediated by domain walls. Such settings commonly arise in supergravity and string compactifications with stabilized moduli. We derive general bounds and simple estimates in supergravity which constrain deviations from the ordinary swampland distance conjecture based on moduli space geodesics, and we connect this picture to renormalization group flows via holography. |
0710.1613 | Sami Nurmi | Sami Nurmi | Kahler potentials for the MSSM inflation and the spectral index | 13 pages, one figure. Typos corrected and a reference added | JCAP 0801:016,2008 | 10.1088/1475-7516/2008/01/016 | null | hep-th astro-ph | null | Recently it has been argued that some of the fine-tuning problems of the MSSM
inflation associated with the existence of a saddle point along a flat
direction may be solved naturally in a class of supergravity models. Here we
extend the analysis and show that the constraints on the Kahler potentials in
these models are considerably relaxed when the location of the saddle point is
treated as a free variable. We also examine the effect of supergravity
corrections on inflationary predictions and find that they can slightly alter
the value of the spectral index. As an example, for flat direction field values
$|\bar{\phi}_0|=1\times10^{-4}M_P$ we find $n\sim0.92 ... 0.94$ while the
prediction of the MSSM inflation without any corrections is $n\sim0.92$.
| [
{
"created": "Mon, 8 Oct 2007 18:19:48 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Nov 2007 12:41:21 GMT",
"version": "v2"
}
] | 2009-06-10 | [
[
"Nurmi",
"Sami",
""
]
] | Recently it has been argued that some of the fine-tuning problems of the MSSM inflation associated with the existence of a saddle point along a flat direction may be solved naturally in a class of supergravity models. Here we extend the analysis and show that the constraints on the Kahler potentials in these models are considerably relaxed when the location of the saddle point is treated as a free variable. We also examine the effect of supergravity corrections on inflationary predictions and find that they can slightly alter the value of the spectral index. As an example, for flat direction field values $|\bar{\phi}_0|=1\times10^{-4}M_P$ we find $n\sim0.92 ... 0.94$ while the prediction of the MSSM inflation without any corrections is $n\sim0.92$. |
0901.3080 | Kanabu Nawa | Kanabu Nawa, Atsushi Hosaka, Hideo Suganuma | Skyrmions with holography and hidden local symmetry | 7 pages, 7 figures | Phys.Rev.D79:126005,2009 | 10.1103/PhysRevD.79.126005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study baryons as Skyrmions in holographic QCD with D4/D8/D8-bar multi-D
brane system in type IIA superstring theory, and also in the non-linear sigma
model with hidden local symmetry (HLS). Comparing these two models, we find
that the extra-dimension and its nontrivial curvature can largely change the
role of (axial) vector mesons for baryons in four-dimensional space-time. In
the HLS approach, the rho-meson field as a massive Yang-Mills field has a
singular configuration in Skyrmion, which gives a strong repulsion for the
baryon as a stabilizer. When a_1 meson is added in this approach, the stability
of Skyrmion is lost by the cancellation of rho and a_1 contributions. On the
contrary, in holographic QCD, the rho-meson field does not appear as a massive
Yang-Mills field due to the extra-dimension and its nontrivial curvature. We
show that the rho-meson field has a regular configuration in Skyrmion, which
gives a weak attraction for the baryon in holographic QCD. We argue that
Skyrmion with pi, rho and a_1 mesons become stable due to the curved
extra-dimension and also the presence of the Skyrme term in holographic QCD.
From this result, we also discuss the features of our truncated-resonance
analysis on baryon properties with pi and rho mesons below the cutoff scale
M_KK about 1GeV in holographic QCD, which is compared with other 5D instanton
analysis.
| [
{
"created": "Tue, 20 Jan 2009 15:58:20 GMT",
"version": "v1"
},
{
"created": "Thu, 21 May 2009 10:49:57 GMT",
"version": "v2"
}
] | 2009-06-22 | [
[
"Nawa",
"Kanabu",
""
],
[
"Hosaka",
"Atsushi",
""
],
[
"Suganuma",
"Hideo",
""
]
] | We study baryons as Skyrmions in holographic QCD with D4/D8/D8-bar multi-D brane system in type IIA superstring theory, and also in the non-linear sigma model with hidden local symmetry (HLS). Comparing these two models, we find that the extra-dimension and its nontrivial curvature can largely change the role of (axial) vector mesons for baryons in four-dimensional space-time. In the HLS approach, the rho-meson field as a massive Yang-Mills field has a singular configuration in Skyrmion, which gives a strong repulsion for the baryon as a stabilizer. When a_1 meson is added in this approach, the stability of Skyrmion is lost by the cancellation of rho and a_1 contributions. On the contrary, in holographic QCD, the rho-meson field does not appear as a massive Yang-Mills field due to the extra-dimension and its nontrivial curvature. We show that the rho-meson field has a regular configuration in Skyrmion, which gives a weak attraction for the baryon in holographic QCD. We argue that Skyrmion with pi, rho and a_1 mesons become stable due to the curved extra-dimension and also the presence of the Skyrme term in holographic QCD. From this result, we also discuss the features of our truncated-resonance analysis on baryon properties with pi and rho mesons below the cutoff scale M_KK about 1GeV in holographic QCD, which is compared with other 5D instanton analysis. |
2312.07891 | Yu-Ki Suzuki | Shigeki Sugimoto and Yu-ki Suzuki | End of the World Branes from Dimensional Reduction | 21 pages, 1 figure. Reference added for v2 | null | null | KUNS-2982, YITP-23-101 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider dimensional reduction of cigar geometries which are obtained by a
Wick rotation of black hole solutions. Originally the cigar geometry is smooth
around the tip, but after the dimensional reduction along the Euclidean time
direction, there appears an end-of-the-world brane (ETW brane). We derive the
tension of the brane by two methods: bulk equations of motion and boundary
equations of motion. In particular, for AdS7-soliton cross S4 and AdS4-soliton
cross S7 backgrounds in M-theory, we find that the tension of the emerging ETW
branes behaves as exp(-3Phi) in the string frame. This indicates the existence
of such ETW branes in the strongly coupled regime of type 0A string theory.
| [
{
"created": "Wed, 13 Dec 2023 04:25:09 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jan 2024 02:09:28 GMT",
"version": "v2"
}
] | 2024-01-12 | [
[
"Sugimoto",
"Shigeki",
""
],
[
"Suzuki",
"Yu-ki",
""
]
] | We consider dimensional reduction of cigar geometries which are obtained by a Wick rotation of black hole solutions. Originally the cigar geometry is smooth around the tip, but after the dimensional reduction along the Euclidean time direction, there appears an end-of-the-world brane (ETW brane). We derive the tension of the brane by two methods: bulk equations of motion and boundary equations of motion. In particular, for AdS7-soliton cross S4 and AdS4-soliton cross S7 backgrounds in M-theory, we find that the tension of the emerging ETW branes behaves as exp(-3Phi) in the string frame. This indicates the existence of such ETW branes in the strongly coupled regime of type 0A string theory. |
hep-th/9402041 | Antti Niemi | T. Karki and A. J. Niemi | On the Duistermaat-Heckman Integration Formula And Integrable Models | 18 pages. Talk presented by A. Niemi at XXVIIth International
Symposium on the Theory of Elementary Particles Wendisch-Rietz (Germany)
September 7-11, 1993 | null | null | UU-ITP 02/94, HU-TFT-94-08 | hep-th math.QA nlin.SI solv-int | null | In this article we review the Duistermaat-Heckman integration formula and the
ensuing equivariant cohomology structure, in the finite dimensional case. In
particular, we discuss the connection between equivariant cohomology and
classical integrability. We also explain how the integration formula is
derived, and explore some possible new directions that could eventually yield
novel integration formulas for nontrivial integrable models.
| [
{
"created": "Tue, 8 Feb 1994 13:59:05 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Karki",
"T.",
""
],
[
"Niemi",
"A. J.",
""
]
] | In this article we review the Duistermaat-Heckman integration formula and the ensuing equivariant cohomology structure, in the finite dimensional case. In particular, we discuss the connection between equivariant cohomology and classical integrability. We also explain how the integration formula is derived, and explore some possible new directions that could eventually yield novel integration formulas for nontrivial integrable models. |
hep-th/0105031 | Bernard Julia | B.L. Julia | Magics of M-gravity | 6p. to appear in Proceedings of the Berlin RTN Workshop (October
2000) ed. A. Sevrin et al | Fortsch.Phys.49:551-555,2001 | 10.1002/1521-3978(200105)49:4/6<551::AID-PROP551>3.3.CO;2-H | LPT-ENS/01-03 | hep-th | null | Compactifications on tori may seem to have revealed their beauty long ago but
the mystery of 11d Supergravity remains and fresh attempts at a conceptual
breakthrough are worth the effort and quite timely. We shall concentrate here
on the analogy with Instanton Mathematics and discuss some open questions and
work in progress.
| [
{
"created": "Thu, 3 May 2001 09:43:44 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Julia",
"B. L.",
""
]
] | Compactifications on tori may seem to have revealed their beauty long ago but the mystery of 11d Supergravity remains and fresh attempts at a conceptual breakthrough are worth the effort and quite timely. We shall concentrate here on the analogy with Instanton Mathematics and discuss some open questions and work in progress. |
hep-th/0112097 | Andreas Fring | O.A. Castro-Alvaredo and A. Fring | Mutually local fields from form factors | 16 pages Latex | Int.J.Mod.Phys.B16:1915-1924,2002 | 10.1142/S0217979202011639 | null | hep-th | null | We compare two different methods of computing form factors. One is the well
established procedure of solving the form factor consistency equations and the
other is to represent the field content as well as the particle creation
operators in terms of fermionic Fock operators. We compute the corresponding
matrix elements for the complex free fermion and the Federbush model. The
matrix elements only satisfy the form factor consistency equations involving
anyonic factors of local commutativity when the corresponding operators are
local. We carry out the ultraviolet limit, analyze the momentum space cluster
properties and demonstrate how the Federbush model can be obtained from the
$SU(3)_3$-homogeneous sine-Gordon model. We propose a new class of Lagrangians
which constitute a generalization of the Federbush model in a Lie algebraic
fashion. For these models we evaluate the associated scattering matrices from
first principles, which can alternatively also be obtained in a certain limit
of the homogeneous sine-Gordon models.
| [
{
"created": "Tue, 11 Dec 2001 21:07:47 GMT",
"version": "v1"
}
] | 2011-04-20 | [
[
"Castro-Alvaredo",
"O. A.",
""
],
[
"Fring",
"A.",
""
]
] | We compare two different methods of computing form factors. One is the well established procedure of solving the form factor consistency equations and the other is to represent the field content as well as the particle creation operators in terms of fermionic Fock operators. We compute the corresponding matrix elements for the complex free fermion and the Federbush model. The matrix elements only satisfy the form factor consistency equations involving anyonic factors of local commutativity when the corresponding operators are local. We carry out the ultraviolet limit, analyze the momentum space cluster properties and demonstrate how the Federbush model can be obtained from the $SU(3)_3$-homogeneous sine-Gordon model. We propose a new class of Lagrangians which constitute a generalization of the Federbush model in a Lie algebraic fashion. For these models we evaluate the associated scattering matrices from first principles, which can alternatively also be obtained in a certain limit of the homogeneous sine-Gordon models. |
1104.4121 | Suvankar Dutta | Dumitru Astefanesei, Nabamita Banerjee and Suvankar Dutta | Near horizon data and physical charges of extremal AdS black holes | 1+19 pages | Nucl.Phys.B853:63-79,2011 | 10.1016/j.nuclphysb.2011.07.018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the physical charges and discuss the properties of a large class
of five-dimensional extremal AdS black holes by using the near horizon data.
Our examples include baryonic and electromagnetic black branes, as well as
supersymmetric spinning black holes. In the presence of the gauge Chern-Simons
term, the five-dimensional physical charges are the Page charges. We carry out
the near horizon analysis and compute the four-dimensional charges of the
corresponding black holes by using the entropy function formalism and show that
they match the Page charges.
| [
{
"created": "Wed, 20 Apr 2011 20:00:26 GMT",
"version": "v1"
}
] | 2011-08-31 | [
[
"Astefanesei",
"Dumitru",
""
],
[
"Banerjee",
"Nabamita",
""
],
[
"Dutta",
"Suvankar",
""
]
] | We compute the physical charges and discuss the properties of a large class of five-dimensional extremal AdS black holes by using the near horizon data. Our examples include baryonic and electromagnetic black branes, as well as supersymmetric spinning black holes. In the presence of the gauge Chern-Simons term, the five-dimensional physical charges are the Page charges. We carry out the near horizon analysis and compute the four-dimensional charges of the corresponding black holes by using the entropy function formalism and show that they match the Page charges. |
1109.1562 | Ross O'Connell | Ross O'Connell and R. Holman | Initial Conditions in the Effective Field Theory of Inflation | 12 pages, 2 figures. Extended overview of effective field theory,
improved discussion of thermal freeze-out scenario | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many different models of inflation give rise to the same effective field
theory of the inflaton. While effective field theories in flat space provide
little information about UV physics, we propose that in inflationary
backgrounds a large amount of information can be encoded by the initial
conditions of the effective theory. We identify conditions under which this
information remains available at late times, e.g. through observation of
non-Gaussianities, and introduce a simple model of initial conditions where
these conditions are satisfied.
| [
{
"created": "Wed, 7 Sep 2011 20:01:02 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Dec 2011 18:57:51 GMT",
"version": "v2"
}
] | 2012-01-04 | [
[
"O'Connell",
"Ross",
""
],
[
"Holman",
"R.",
""
]
] | Many different models of inflation give rise to the same effective field theory of the inflaton. While effective field theories in flat space provide little information about UV physics, we propose that in inflationary backgrounds a large amount of information can be encoded by the initial conditions of the effective theory. We identify conditions under which this information remains available at late times, e.g. through observation of non-Gaussianities, and introduce a simple model of initial conditions where these conditions are satisfied. |
hep-th/9303151 | Harald Skarke | Harald Skarke | Towards finiteness without supersymmetry | 14 pages, latex, ITP-UH-2/93, TUW-93-04 | Int.J.Mod.Phys. A9 (1994) 711-726 | 10.1142/S0217751X94000339 | null | hep-th | null | Some aspects of finite quantum field theories in 3+1 dimensions are
discussed. A model with non--supersymmetric particle content and vanishing
one-- and two--loop beta functions for the gauge coupling and one--loop beta
functions for Yukawa--couplings is presented.
| [
{
"created": "Fri, 26 Mar 1993 09:35:33 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Skarke",
"Harald",
""
]
] | Some aspects of finite quantum field theories in 3+1 dimensions are discussed. A model with non--supersymmetric particle content and vanishing one-- and two--loop beta functions for the gauge coupling and one--loop beta functions for Yukawa--couplings is presented. |
0801.3808 | Sergey Sibiryakov | G. Dvali, S. Sibiryakov | Creating semiclassical black holes in collider experiments and keeping
them on a string | Journal version, a misprint corrected | JHEP0803:007,2008 | 10.1088/1126-6708/2008/03/007 | CERN-PH-TH/2008-017 | hep-th hep-ph | null | We argue that a simple modification of the TeV scale quantum gravity scenario
allows production of semiclassical black holes in particle collisions at the
LHC. The key idea is that in models with large extra dimensions the strength of
gravity in the bulk can be higher than on the brane where we live. A well-known
example of this situation is the case of warped extra dimensions. Even if the
energy of the collision is not sufficient to create a black hole on the brane,
it may be enough to produce a particle which accelerates into the bulk up to
trans-Planckian energy and creates a large black hole there. In a concrete
model we consider, the black hole is formed in a collision of the particle with
its own image at an orbifold plane. When the particle in question carries some
Standard Model gauge charges the created black hole gets attached to our brane
by a string of the gauge flux. For a 4-dimensional observer such system looks
as a long-lived charged state with the mass continuously decreasing due to
Hawking evaporation of the black hole. This provides a distinctive signature of
black hole formation in our scenario.
| [
{
"created": "Thu, 24 Jan 2008 17:43:33 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Mar 2008 09:45:57 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dvali",
"G.",
""
],
[
"Sibiryakov",
"S.",
""
]
] | We argue that a simple modification of the TeV scale quantum gravity scenario allows production of semiclassical black holes in particle collisions at the LHC. The key idea is that in models with large extra dimensions the strength of gravity in the bulk can be higher than on the brane where we live. A well-known example of this situation is the case of warped extra dimensions. Even if the energy of the collision is not sufficient to create a black hole on the brane, it may be enough to produce a particle which accelerates into the bulk up to trans-Planckian energy and creates a large black hole there. In a concrete model we consider, the black hole is formed in a collision of the particle with its own image at an orbifold plane. When the particle in question carries some Standard Model gauge charges the created black hole gets attached to our brane by a string of the gauge flux. For a 4-dimensional observer such system looks as a long-lived charged state with the mass continuously decreasing due to Hawking evaporation of the black hole. This provides a distinctive signature of black hole formation in our scenario. |
2004.01675 | Julius Grimminger | Julius F. Grimminger, Amihay Hanany | Hasse Diagrams for $\mathbf{3d}$ $\mathbf{\mathcal{N}=4}$ Quiver Gauge
Theories -- Inversion and the full Moduli Space | null | null | 10.1007/JHEP09(2020)159 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Hasse diagrams of moduli spaces of $\mathrm{3d}$ $\mathcal{N}=4$
quiver gauge theories. The goal of this work is twofold: 1) We introduce the
notion of inverting a Hasse diagram and conjecture that the Coulomb branch and
Higgs branch Hasse diagrams of certain theories are related through this
operation. 2) We introduce a Hasse diagram to map out the entire moduli space
of the theory, including the Coulomb, Higgs and mixed branches. For theories
whose Higgs and Coulomb branch Hasse diagrams are related by inversion it is
straight forward to generate the Hasse diagram of the entire moduli space. We
apply inversion of the Higgs branch Hasse diagram in order to obtain the
Coulomb branch Hasse diagram for bad theories and obtain results consistent
with the literature. For theories whose Higgs and Coulomb branch Hasse diagrams
are not related by inversion it is nevertheless possible to produce the Hasse
diagram of the full moduli space using different methods. We give examples for
Hasse diagrams of the entire moduli space of theories with \emph{enhanced}
Coulomb branches.
| [
{
"created": "Fri, 3 Apr 2020 17:10:27 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Aug 2020 09:03:53 GMT",
"version": "v2"
}
] | 2020-10-28 | [
[
"Grimminger",
"Julius F.",
""
],
[
"Hanany",
"Amihay",
""
]
] | We study Hasse diagrams of moduli spaces of $\mathrm{3d}$ $\mathcal{N}=4$ quiver gauge theories. The goal of this work is twofold: 1) We introduce the notion of inverting a Hasse diagram and conjecture that the Coulomb branch and Higgs branch Hasse diagrams of certain theories are related through this operation. 2) We introduce a Hasse diagram to map out the entire moduli space of the theory, including the Coulomb, Higgs and mixed branches. For theories whose Higgs and Coulomb branch Hasse diagrams are related by inversion it is straight forward to generate the Hasse diagram of the entire moduli space. We apply inversion of the Higgs branch Hasse diagram in order to obtain the Coulomb branch Hasse diagram for bad theories and obtain results consistent with the literature. For theories whose Higgs and Coulomb branch Hasse diagrams are not related by inversion it is nevertheless possible to produce the Hasse diagram of the full moduli space using different methods. We give examples for Hasse diagrams of the entire moduli space of theories with \emph{enhanced} Coulomb branches. |
hep-th/0112235 | Sean A. Hartnoll | Sean A. Hartnoll | Axisymmetric non-abelian BPS monopoles from G_2 metrics | Latex. 1+21 pages. References updated | Nucl.Phys. B631 (2002) 325-341 | 10.1016/S0550-3213(02)00217-1 | null | hep-th | null | Exact $SU(2)\times U(1)$ self-gravitating BPS global monopoles in four
dimensions are constructed by dimensional reduction of eight dimensional
metrics with $G_2$ holonomy asymptotic to cones over $S^3\times S^3$. The
solutions carry two topological charges in an interesting way. They are
generically axially but not spherically symmetric. This last fact is related to
the isometries and asymptotic topology of the $G_2$ metrics. It is further
shown that some $G_2$ metrics known numerically reduce to supersymmetric cosmic
strings.
| [
{
"created": "Wed, 26 Dec 2001 14:47:33 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jan 2002 17:40:55 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Hartnoll",
"Sean A.",
""
]
] | Exact $SU(2)\times U(1)$ self-gravitating BPS global monopoles in four dimensions are constructed by dimensional reduction of eight dimensional metrics with $G_2$ holonomy asymptotic to cones over $S^3\times S^3$. The solutions carry two topological charges in an interesting way. They are generically axially but not spherically symmetric. This last fact is related to the isometries and asymptotic topology of the $G_2$ metrics. It is further shown that some $G_2$ metrics known numerically reduce to supersymmetric cosmic strings. |
0811.0730 | Stoytcho Yazadjiev | Jutta Kunz, Stoytcho Yazadjiev | Charged black holes on a Kaluza-Klein bubble | 19 pages, 1 figure | Phys.Rev.D79:024010,2009 | 10.1103/PhysRevD.79.024010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a solution of two black holes on a Kaluza-Klein bubble in
Einstein-Maxwell-dilaton theory. We explore the consequences of the presence of
charge for the properties of this solution, and obtain a generalized Smarr
relation and first law.
| [
{
"created": "Wed, 5 Nov 2008 14:02:52 GMT",
"version": "v1"
}
] | 2009-01-21 | [
[
"Kunz",
"Jutta",
""
],
[
"Yazadjiev",
"Stoytcho",
""
]
] | We construct a solution of two black holes on a Kaluza-Klein bubble in Einstein-Maxwell-dilaton theory. We explore the consequences of the presence of charge for the properties of this solution, and obtain a generalized Smarr relation and first law. |
hep-th/9811238 | Tom Weidig | Tom Weidig (Centre for Particle Theory, University of Durham) | The baby Skyrme models and their multi-skyrmions | new version, LaTeX, 16 pages, more pictures on
http://dirac.phy.umist.ac.uk/~weidig/ | Nonlinearity Vol. 12, No. 6, November 1999, 1489-1503 | 10.1088/0951-7715/12/6/303 | null | hep-th | null | We study the structure of minimal-energy solutions of the baby Skyrme models
for any topological charge n; the baby multi-skyrmions. Unlike in the (3+1)D
nuclear Skyrme model, a potential term must be present in the (2+1)D Skyrme
model to ensure stability. The form of this potential term has a crucial effect
on the existence and structure of baby multi-skyrmions. The simplest
holomorphic model has no known stable minimal-energy solution for n greater
than one. The other baby Skyrme model studied in the literature possesses
non-radially symmetric minimal-energy configurations that look like `skyrmion
lattices' formed by skyrmions with n=2. We discuss a baby Skyrme model with a
potential that has two vacua. Surprisingly, the minimal-energy solution for
every n is radially-symmetric and the energy grows linearly for large n.
Further, these multi-skyrmions are tighter bound, have less energy and the same
large r behaviour than in the model with one vacuum. We rely on numerical
studies and approximations to test and verify this observation.
| [
{
"created": "Fri, 27 Nov 1998 12:39:57 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Nov 1999 14:35:15 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Weidig",
"Tom",
"",
"Centre for Particle Theory, University of Durham"
]
] | We study the structure of minimal-energy solutions of the baby Skyrme models for any topological charge n; the baby multi-skyrmions. Unlike in the (3+1)D nuclear Skyrme model, a potential term must be present in the (2+1)D Skyrme model to ensure stability. The form of this potential term has a crucial effect on the existence and structure of baby multi-skyrmions. The simplest holomorphic model has no known stable minimal-energy solution for n greater than one. The other baby Skyrme model studied in the literature possesses non-radially symmetric minimal-energy configurations that look like `skyrmion lattices' formed by skyrmions with n=2. We discuss a baby Skyrme model with a potential that has two vacua. Surprisingly, the minimal-energy solution for every n is radially-symmetric and the energy grows linearly for large n. Further, these multi-skyrmions are tighter bound, have less energy and the same large r behaviour than in the model with one vacuum. We rely on numerical studies and approximations to test and verify this observation. |
1503.00218 | Sang Pyo Kim | Sang Pyo Kim (Kunsan Natl U.), Hyun Kyu Lee, Yongsung Yoon (Hanyang
U.) | Thermal Interpretation of Schwinger Effect in Near-Extremal RN Black
Hole | LaTex, 13 pages, no figure | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a thermal interpretation of the Schwinger effect for charged
scalars and spinors in an extremal and near-extremal Reissner-Nordstr\"{o}m
(RN) black hole. The emission of charges has the distribution with an effective
temperature determined by the Davies-Unruh temperature for accelerating charges
by the electric field and the scalar curvature of AdS_2 from the near-horizon
geometry AdS_2 X S^2. We find a charge bound for the extremal micro black hole
to remain stable against the Schwinger emission in analogy with the
Breitenlohlner-Freedman bound for the AdS space. In the in-out formalism we
find the one-loop QED effective action consistent with the vacuum persistence
and interpret the vacuum persistence as the leading Schwinger effect and the
effect of a charged vacuum of the Coulomb field.
| [
{
"created": "Sun, 1 Mar 2015 05:23:39 GMT",
"version": "v1"
}
] | 2015-03-03 | [
[
"Kim",
"Sang Pyo",
"",
"Kunsan Natl U."
],
[
"Lee",
"Hyun Kyu",
"",
"Hanyang\n U."
],
[
"Yoon",
"Yongsung",
"",
"Hanyang\n U."
]
] | We propose a thermal interpretation of the Schwinger effect for charged scalars and spinors in an extremal and near-extremal Reissner-Nordstr\"{o}m (RN) black hole. The emission of charges has the distribution with an effective temperature determined by the Davies-Unruh temperature for accelerating charges by the electric field and the scalar curvature of AdS_2 from the near-horizon geometry AdS_2 X S^2. We find a charge bound for the extremal micro black hole to remain stable against the Schwinger emission in analogy with the Breitenlohlner-Freedman bound for the AdS space. In the in-out formalism we find the one-loop QED effective action consistent with the vacuum persistence and interpret the vacuum persistence as the leading Schwinger effect and the effect of a charged vacuum of the Coulomb field. |
hep-th/0404197 | Pedro J. Silva | Donald Marolf, Luca Martucci and Pedro J. Silva | The explicit form of the effective action for F1 and D-branes | 9 pages, based on the talk given at the RTN workshop of 2003
Copenhagen: 15/9-20/9/03. Published in the proceedings of the conference | Class.Quant.Grav. 21 (2004) S1385-S1390 | 10.1088/0264-9381/21/10/011 | null | hep-th | null | In this work we consider the full interacting effective actions for
fundamental strings and D-branes in arbitrary bosonic type II supergravity
backgrounds. The explicit form of these actions is given in terms of component
fields, up to second order in the fermions. The results take a compact form
exhibiting $\kappa$-symmetry, as well as supersymmetry in a background with
Killing spinors. Also we give the explicit transformation rules for these
symmetries in all cases.
| [
{
"created": "Sun, 25 Apr 2004 09:25:36 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Marolf",
"Donald",
""
],
[
"Martucci",
"Luca",
""
],
[
"Silva",
"Pedro J.",
""
]
] | In this work we consider the full interacting effective actions for fundamental strings and D-branes in arbitrary bosonic type II supergravity backgrounds. The explicit form of these actions is given in terms of component fields, up to second order in the fermions. The results take a compact form exhibiting $\kappa$-symmetry, as well as supersymmetry in a background with Killing spinors. Also we give the explicit transformation rules for these symmetries in all cases. |
0803.3302 | Edward Frenkel | E. Frenkel, A. Losev, N. Nekrasov | Instantons beyond topological theory II | 125 pages, 9 figures | null | null | null | hep-th math.AG math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The present paper is the second part of our project in which we describe
quantum field theories with instantons in a novel way by using the "infinite
radius limit" (rather than the limit of free field theory) as the starting
point. The theory dramatically simplifies in this limit, because the
correlation functions of all, not only topological (or BPS), observables may be
computed explicitly in terms of integrals over finite-dimensional moduli spaces
of instanton configurations. In Part I (arXiv:hep-th/0610149) we discussed in
detail the one-dimensional (that is, quantum mechanical) models of this type.
Here we analyze the supersymmetric two-dimensional sigma models and
four-dimensional Yang--Mills theory, using the one-dimensional models as a
prototype. We go beyond the topological (or BPS) sectors of these models and
consider them as full-fledged quantum field theories. We study in detail the
space of states and find that the Hamiltonian is not diagonalizable, but has
Jordan blocks. This leads to the appearance of logarithms in the correlation
functions. We find that our theories are in fact logarithmic conformal field
theories (theories of this type are of interest in condensed matter physics).
We define jet-evaluation observables and consider in detail their correlation
functions. They are given by integrals over the moduli spaces of holomorphic
maps, which generalize the Gromov--Witten invariants. These integrals generally
diverge and require regularization, leading to an intricate logarithmic mixing
of the operators of the sigma model. A similar structure arises in the
four-dimensional Yang--Mills theory as well.
| [
{
"created": "Sun, 23 Mar 2008 04:15:51 GMT",
"version": "v1"
}
] | 2008-03-28 | [
[
"Frenkel",
"E.",
""
],
[
"Losev",
"A.",
""
],
[
"Nekrasov",
"N.",
""
]
] | The present paper is the second part of our project in which we describe quantum field theories with instantons in a novel way by using the "infinite radius limit" (rather than the limit of free field theory) as the starting point. The theory dramatically simplifies in this limit, because the correlation functions of all, not only topological (or BPS), observables may be computed explicitly in terms of integrals over finite-dimensional moduli spaces of instanton configurations. In Part I (arXiv:hep-th/0610149) we discussed in detail the one-dimensional (that is, quantum mechanical) models of this type. Here we analyze the supersymmetric two-dimensional sigma models and four-dimensional Yang--Mills theory, using the one-dimensional models as a prototype. We go beyond the topological (or BPS) sectors of these models and consider them as full-fledged quantum field theories. We study in detail the space of states and find that the Hamiltonian is not diagonalizable, but has Jordan blocks. This leads to the appearance of logarithms in the correlation functions. We find that our theories are in fact logarithmic conformal field theories (theories of this type are of interest in condensed matter physics). We define jet-evaluation observables and consider in detail their correlation functions. They are given by integrals over the moduli spaces of holomorphic maps, which generalize the Gromov--Witten invariants. These integrals generally diverge and require regularization, leading to an intricate logarithmic mixing of the operators of the sigma model. A similar structure arises in the four-dimensional Yang--Mills theory as well. |
2010.06771 | Ken-Ji Hamada | Ken-ji Hamada | Diffeomorphism Invariance Demands Conformal Anomalies | 24 pages, 2 figures, minor change, published version | Phys. Rev. D102 (2020) 125005 | 10.1103/PhysRevD.102.125005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a series of the Wess-Zumino actions obtained by repeatedly
integrating conformal anomalies with respect to the conformal-factor field that
appear at higher loops. We show that they arise as physical quantities required
to make nonlocal loop correction terms diffeomorphism invariant. Specifically,
in a conformally flat spacetime $ds^2=e^{2\phi}(-d\eta^2 + d{\bf x}^2)$, we
find that effective actions are described in terms of momentum squared
expressed as a physical $Q^2 = q^2/e^{2\phi}$ for $q^2$ measured by the flat
metric, which recalls the relationship between physical momentum and comoving
momentum in cosmology. It is confirmed by calculating the effective action of
QED in such a curved spacetime at the 3-loop level using dimensional
regularization. The same applies to the case of QCD, in which we show that the
effective action can be summarized in the form of the reciprocal of a running
coupling constant squared described by the physical momentum. We also see that
the same holds for renormalizable quantum conformal gravity and that conformal
anomalies are indispensable for formulating the theory.
| [
{
"created": "Wed, 14 Oct 2020 01:52:55 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2020 01:39:32 GMT",
"version": "v2"
}
] | 2020-12-30 | [
[
"Hamada",
"Ken-ji",
""
]
] | We study a series of the Wess-Zumino actions obtained by repeatedly integrating conformal anomalies with respect to the conformal-factor field that appear at higher loops. We show that they arise as physical quantities required to make nonlocal loop correction terms diffeomorphism invariant. Specifically, in a conformally flat spacetime $ds^2=e^{2\phi}(-d\eta^2 + d{\bf x}^2)$, we find that effective actions are described in terms of momentum squared expressed as a physical $Q^2 = q^2/e^{2\phi}$ for $q^2$ measured by the flat metric, which recalls the relationship between physical momentum and comoving momentum in cosmology. It is confirmed by calculating the effective action of QED in such a curved spacetime at the 3-loop level using dimensional regularization. The same applies to the case of QCD, in which we show that the effective action can be summarized in the form of the reciprocal of a running coupling constant squared described by the physical momentum. We also see that the same holds for renormalizable quantum conformal gravity and that conformal anomalies are indispensable for formulating the theory. |
hep-th/9807006 | Chris Pope | I.V. Lavrinenko, H. Lu, C.N. Pope and T.A. Tran | U-duality as General Coordinate Transformations, and Spacetime Geometry | Latex, 28 pages | Int.J.Mod.Phys.A14:4915-4942,1999 | 10.1142/S0217751X99002323 | CTP TAMU-26/98, LPTENS-98/25, SISSARef-70/98/EP | hep-th | null | We show that the full global symmetry groups of all the D-dimensional maximal
supergravities can be described in terms of the closure of the internal general
coordinate transformations of the toroidal compactifications of D=11
supergravity and of type IIB supergravity, with type IIA/IIB T-duality
providing an intertwining between the two pictures. At the quantum level, the
part of the U-duality group that corresponds to the surviving discretised
internal general coordinate transformations in a given picture leaves the
internal torus invariant, while the part that is not described by internal
general coordinate transformations can have the effect of altering the size or
shape of the internal torus. For example, M-theory compactified on a large
torus T^n can be related by duality to a compactification on a small torus, if
and only if n\ge 3. We also discuss related issues in the toroidal
compactification of the self-dual string to D=4. An appendix includes the
complete results for the toroidal reduction of the bosonic sector of type IIB
supergravity to arbitrary dimensions D\ge3.
| [
{
"created": "Wed, 1 Jul 1998 15:31:51 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Lavrinenko",
"I. V.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Tran",
"T. A.",
""
]
] | We show that the full global symmetry groups of all the D-dimensional maximal supergravities can be described in terms of the closure of the internal general coordinate transformations of the toroidal compactifications of D=11 supergravity and of type IIB supergravity, with type IIA/IIB T-duality providing an intertwining between the two pictures. At the quantum level, the part of the U-duality group that corresponds to the surviving discretised internal general coordinate transformations in a given picture leaves the internal torus invariant, while the part that is not described by internal general coordinate transformations can have the effect of altering the size or shape of the internal torus. For example, M-theory compactified on a large torus T^n can be related by duality to a compactification on a small torus, if and only if n\ge 3. We also discuss related issues in the toroidal compactification of the self-dual string to D=4. An appendix includes the complete results for the toroidal reduction of the bosonic sector of type IIB supergravity to arbitrary dimensions D\ge3. |
2104.11749 | Jos\'e Manuel Pen\'in | Carlos Hoyos, Niko Jokela, Jose Manuel Pen\'in, Alfonso V. Ramallo and
Javier Tarr\'io | Risking your NEC | 31 pages, 4 appendices, 9 figures | null | 10.1007/JHEP10(2021)112 | HIP-2021-16/TH | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Energy conditions, especially the null energy condition (NEC), are
generically imposed on solutions to retain a physically sensible classical
field theory and they also play an important role in the AdS/CFT duality. Using
this duality, we study non-trivially deformed strongly coupled quantum field
theories at large-$N_c$. The corresponding dual classical gravity constructions
entail the use of radially non-monotonic D-brane distributions. The gravity
backgrounds are supersymmetric and hence perturbatively stable, and do not
possess curvature singularities. There are no short-cuts through the bulk
spacetime for signal propagation which assures that the field theory duals are
causal. Nevertheless, some of our solutions violate the NEC in the gravity
dual. In these cases the non-monotonicity of the D-brane distributions is
reflected in the properties of the renormalization group flow: none of the
$c$-functions proposed in the literature are monotonic. This further suggests
that the non-monotonic behavior of the $c$-functions within previously known
anisotropic backgrounds does not originate from the breaking of Lorentz
invariance. We surmise that NEC violations induced by quantum corrections also
need to be considered in holographic duals, but can be studied already at the
classical level.
| [
{
"created": "Fri, 23 Apr 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Sep 2021 14:44:57 GMT",
"version": "v2"
}
] | 2021-11-03 | [
[
"Hoyos",
"Carlos",
""
],
[
"Jokela",
"Niko",
""
],
[
"Penín",
"Jose Manuel",
""
],
[
"Ramallo",
"Alfonso V.",
""
],
[
"Tarrío",
"Javier",
""
]
] | Energy conditions, especially the null energy condition (NEC), are generically imposed on solutions to retain a physically sensible classical field theory and they also play an important role in the AdS/CFT duality. Using this duality, we study non-trivially deformed strongly coupled quantum field theories at large-$N_c$. The corresponding dual classical gravity constructions entail the use of radially non-monotonic D-brane distributions. The gravity backgrounds are supersymmetric and hence perturbatively stable, and do not possess curvature singularities. There are no short-cuts through the bulk spacetime for signal propagation which assures that the field theory duals are causal. Nevertheless, some of our solutions violate the NEC in the gravity dual. In these cases the non-monotonicity of the D-brane distributions is reflected in the properties of the renormalization group flow: none of the $c$-functions proposed in the literature are monotonic. This further suggests that the non-monotonic behavior of the $c$-functions within previously known anisotropic backgrounds does not originate from the breaking of Lorentz invariance. We surmise that NEC violations induced by quantum corrections also need to be considered in holographic duals, but can be studied already at the classical level. |
0807.3953 | Timo Weigand | Mirjam Cvetic and Timo Weigand | A string theoretic model of gauge mediated supersymmetry beaking | 4 pages, 3 tables; uses revtex; v3: some clarifications added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a robust supergravity model of dynamical supersymmetry breaking
and gauge mediation, and a natural embedding in non-perturbative string theory
with D-branes. A chiral field (and its mirror) charged under "anomalous" U(1)'s
acts as a Polonyi field whose hierarchical Polonyi-term can be generated by
string instantons. Further quartic superpotential terms arise naturally as a
tree-level decoupling effect of massive string states. A robust supersymmetry
breaking minimum allows for gauge mediation with soft masses at the TeV scale,
which we realise for a globally consistent SU(5) GUT model of Type I string
theory, with a D1-instanton inducing the Polonyi term.
| [
{
"created": "Fri, 25 Jul 2008 15:48:57 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jul 2008 18:41:37 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Aug 2008 21:58:01 GMT",
"version": "v3"
}
] | 2008-08-20 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Weigand",
"Timo",
""
]
] | We propose a robust supergravity model of dynamical supersymmetry breaking and gauge mediation, and a natural embedding in non-perturbative string theory with D-branes. A chiral field (and its mirror) charged under "anomalous" U(1)'s acts as a Polonyi field whose hierarchical Polonyi-term can be generated by string instantons. Further quartic superpotential terms arise naturally as a tree-level decoupling effect of massive string states. A robust supersymmetry breaking minimum allows for gauge mediation with soft masses at the TeV scale, which we realise for a globally consistent SU(5) GUT model of Type I string theory, with a D1-instanton inducing the Polonyi term. |
1309.4461 | Lasha Berezhiani | Lasha Berezhiani, Justin Khoury | Slavnov-Taylor Identities for Primordial Perturbations | 26 pages | null | 10.1088/1475-7516/2014/02/003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Correlation functions of adiabatic modes in cosmology are constrained by an
infinite number of consistency relations, which relate N+1-point correlation
functions with a soft-momentum scalar or tensor mode to a symmetry
transformation on N-point correlation functions of hard-momentum modes. They
constrain, at each order n, the q^n behavior of the soft limits. In this paper
we show that all consistency relations derive from a single, master identity,
which follows from the Slavnov-Taylor identity for spatial diffeomorphisms.
This master identity is valid at any value of q and therefore goes beyond the
soft limit. By differentiating it n times with respect to the soft momentum, we
recover the consistency relations at each q order. Our approach underscores the
role of spatial diffeomorphism invariance at the root of cosmological
consistency relations. It also offers new insights on the necessary conditions
for their validity: a physical contribution to the vertex functional must
satisfy certain analyticity properties in the soft limit in order for the
consistency relations to hold. For standard inflationary models, this is
equivalent to requiring that mode functions have constant growing-mode
solutions. For more exotic models in which modes do not "freeze" in the usual
sense, the analyticity requirement offers an unambiguous criterion.
| [
{
"created": "Tue, 17 Sep 2013 20:00:06 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2014 16:37:34 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Berezhiani",
"Lasha",
""
],
[
"Khoury",
"Justin",
""
]
] | Correlation functions of adiabatic modes in cosmology are constrained by an infinite number of consistency relations, which relate N+1-point correlation functions with a soft-momentum scalar or tensor mode to a symmetry transformation on N-point correlation functions of hard-momentum modes. They constrain, at each order n, the q^n behavior of the soft limits. In this paper we show that all consistency relations derive from a single, master identity, which follows from the Slavnov-Taylor identity for spatial diffeomorphisms. This master identity is valid at any value of q and therefore goes beyond the soft limit. By differentiating it n times with respect to the soft momentum, we recover the consistency relations at each q order. Our approach underscores the role of spatial diffeomorphism invariance at the root of cosmological consistency relations. It also offers new insights on the necessary conditions for their validity: a physical contribution to the vertex functional must satisfy certain analyticity properties in the soft limit in order for the consistency relations to hold. For standard inflationary models, this is equivalent to requiring that mode functions have constant growing-mode solutions. For more exotic models in which modes do not "freeze" in the usual sense, the analyticity requirement offers an unambiguous criterion. |
1605.07165 | Yutaka Yoshida | Hee-Joong Chung and Yutaka Yoshida | Topologically Twisted SUSY Gauge Theory, Gauge-Bethe Correspondence and
Quantum Cohomology | 33 pages | null | null | KIAS-P16038 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate partition function and correlation functions in A-twisted 2d
$\mathcal{N}=(2,2)$ theories and topologically twisted 3d $\mathcal{N}=2$
theories containing adjoint chiral multiplet with particular choices of
$R$-charges and the magnetic fluxes for flavor symmetries. According to
Gauge-Bethe correspondence, they correspond to Heisenberg XXX and XXZ spin
chain models. We identify the partition function as the inverse of the norm of
the Bethe eigenstates. Correlation functions are identified as the coefficients
of the expectation value of Baxter $Q$-operators. In addition, we consider
correlation functions of 2d $\mathcal{N}=(2,2)^*$ theory and their relation to
equivariant quantum cohomology and equivariant integration of cotangent bundle
of Grassmann manifolds. Also, we study the ring relations of supersymmetric
Wilson loops in 3d $\mathcal{N}=2^*$ theory and Bethe subalgebra of XXZ spin
chain model.
| [
{
"created": "Mon, 23 May 2016 19:57:58 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2018 10:13:00 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jan 2019 11:00:54 GMT",
"version": "v3"
}
] | 2019-01-30 | [
[
"Chung",
"Hee-Joong",
""
],
[
"Yoshida",
"Yutaka",
""
]
] | We calculate partition function and correlation functions in A-twisted 2d $\mathcal{N}=(2,2)$ theories and topologically twisted 3d $\mathcal{N}=2$ theories containing adjoint chiral multiplet with particular choices of $R$-charges and the magnetic fluxes for flavor symmetries. According to Gauge-Bethe correspondence, they correspond to Heisenberg XXX and XXZ spin chain models. We identify the partition function as the inverse of the norm of the Bethe eigenstates. Correlation functions are identified as the coefficients of the expectation value of Baxter $Q$-operators. In addition, we consider correlation functions of 2d $\mathcal{N}=(2,2)^*$ theory and their relation to equivariant quantum cohomology and equivariant integration of cotangent bundle of Grassmann manifolds. Also, we study the ring relations of supersymmetric Wilson loops in 3d $\mathcal{N}=2^*$ theory and Bethe subalgebra of XXZ spin chain model. |
1501.03329 | Guo-Zhu Liu | Jing-Rong Wang, Guo-Zhu Liu, Chang-Jin Zhang | Infrared behavior of dynamical fermion mass generation in QED$_{3}$ | 15 pages, 6 figures, to appear on Phys. Rev. D | Phys. Rev. D 91, 045006 (2015) | 10.1103/PhysRevD.91.045006 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extensive investigations show that QED$_{3}$ exhibits dynamical fermion mass
generation at zero temperature when the fermion flavor $N$ is sufficiently
small. However, it seems difficult to extend the theoretical analysis to finite
temperature. We study this problem by means of Dyson-Schwinger equation
approach after considering the effect of finite temperature or disorder-induced
fermion damping. Under the widely used instantaneous approximation, the
dynamical mass displays an infrared divergence in both cases. We then adopt a
new approximation that includes an energy-dependent gauge boson propagator and
obtain results for dynamical fermion mass that do not contain infrared
divergence. The validity of the new approximation is examined by comparing to
the well-established results obtained at zero temperature.
| [
{
"created": "Wed, 14 Jan 2015 12:27:01 GMT",
"version": "v1"
}
] | 2015-03-04 | [
[
"Wang",
"Jing-Rong",
""
],
[
"Liu",
"Guo-Zhu",
""
],
[
"Zhang",
"Chang-Jin",
""
]
] | Extensive investigations show that QED$_{3}$ exhibits dynamical fermion mass generation at zero temperature when the fermion flavor $N$ is sufficiently small. However, it seems difficult to extend the theoretical analysis to finite temperature. We study this problem by means of Dyson-Schwinger equation approach after considering the effect of finite temperature or disorder-induced fermion damping. Under the widely used instantaneous approximation, the dynamical mass displays an infrared divergence in both cases. We then adopt a new approximation that includes an energy-dependent gauge boson propagator and obtain results for dynamical fermion mass that do not contain infrared divergence. The validity of the new approximation is examined by comparing to the well-established results obtained at zero temperature. |
1810.04656 | Daniel Elander | Daniel Elander, Anton F. Faedo, David Mateos, David Pravos, Javier G.
Subils | Mass spectrum of gapped, non-confining theories with multi-scale
dynamics | 28 pages, 8 figures | null | 10.1007/JHEP05(2019)175 | ICCUB-18-019 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the mass spectrum of spin-0 and spin-2 composite states in a
one-parameter family of three-dimensional field theories by making use of their
dual descriptions in terms of supergravity. These theories exhibit a mass gap
despite being non-confining, and by varying a parameter can be made to flow
arbitrarily close to an IR fixed point corresponding to the Ooguri-Park
conformal field theory. At the opposite end of parameter space, the dynamics
becomes quasi-confining. The glueball spectrum interpolates between these two
limiting cases, and for nearly conformal dynamics approaches the result of the
Ooguri-Park theory deformed by a relevant operator. In order to elucidate under
which circumstances quasi-conformal dynamics leads to the presence of a light
pseudo-dilaton, we perform a study of the dependence of the spectrum on the
position of a hard-wall IR cutoff and find that, in the present case, the mass
of such state is lifted by deep-IR effects.
| [
{
"created": "Wed, 10 Oct 2018 17:38:23 GMT",
"version": "v1"
}
] | 2019-06-26 | [
[
"Elander",
"Daniel",
""
],
[
"Faedo",
"Anton F.",
""
],
[
"Mateos",
"David",
""
],
[
"Pravos",
"David",
""
],
[
"Subils",
"Javier G.",
""
]
] | We study the mass spectrum of spin-0 and spin-2 composite states in a one-parameter family of three-dimensional field theories by making use of their dual descriptions in terms of supergravity. These theories exhibit a mass gap despite being non-confining, and by varying a parameter can be made to flow arbitrarily close to an IR fixed point corresponding to the Ooguri-Park conformal field theory. At the opposite end of parameter space, the dynamics becomes quasi-confining. The glueball spectrum interpolates between these two limiting cases, and for nearly conformal dynamics approaches the result of the Ooguri-Park theory deformed by a relevant operator. In order to elucidate under which circumstances quasi-conformal dynamics leads to the presence of a light pseudo-dilaton, we perform a study of the dependence of the spectrum on the position of a hard-wall IR cutoff and find that, in the present case, the mass of such state is lifted by deep-IR effects. |
hep-th/9307144 | Makoto Umeki | Makoto Umeki | On the Probability Distribution of Velocity Circulation in
Three-Dimensional Turbulence | E-mail : umeki@tansei.cc.u-tokyo.ac.jp Text 6 pages + Figure 4 pages
UT-F-93-1 | null | 10.1143/JPSJ.62.3788 | null | hep-th | null | The probability distribution functions of the circulation of velocity in
three-dimensional decaying isotropic turbulence are examined by the database of
the numerical simulation based on the pseudospectral method. It is shown that
the standard deviation increases nearly as $A^{2/3}$ where $A$ is the area of
the loop. The PDFs change from exponential to gaussian as the size becomes
large. The former agrees well with the prediction by Migdal (1993), although
the latter does not match. A modification is proposed to explain the gaussian
distribution with the $A^{2/3}$ dependence.
| [
{
"created": "Fri, 23 Jul 1993 06:19:22 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Umeki",
"Makoto",
""
]
] | The probability distribution functions of the circulation of velocity in three-dimensional decaying isotropic turbulence are examined by the database of the numerical simulation based on the pseudospectral method. It is shown that the standard deviation increases nearly as $A^{2/3}$ where $A$ is the area of the loop. The PDFs change from exponential to gaussian as the size becomes large. The former agrees well with the prediction by Migdal (1993), although the latter does not match. A modification is proposed to explain the gaussian distribution with the $A^{2/3}$ dependence. |
1806.01869 | Mario Herrero-Valea | Mario Herrero-Valea | What do gravitons say about (unimodular) gravity? | 27 pages | null | 10.1007/JHEP12(2018)106 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the problem of constraining the weak field limit of the
gravitational lagrangian from S-matrix properties. From unitarity and Lorentz
invariance of the S-matrix of massless gravitons, we derive on-shell gauge
invariance to consist on the transverse part of the linearised diffeomorphisms
group. Moreover, by looking to the interaction between sources, we conclude
that there exist only two possible lagrangians that lead to a well-defined
covariant interaction, corresponding to the weak field limits of General
Relativity and Unimodular Gravity. Additionally, this result confirms the
equivalence of the S-matrix of both theories around flat space-time.
| [
{
"created": "Tue, 5 Jun 2018 18:01:07 GMT",
"version": "v1"
}
] | 2019-01-30 | [
[
"Herrero-Valea",
"Mario",
""
]
] | We revisit the problem of constraining the weak field limit of the gravitational lagrangian from S-matrix properties. From unitarity and Lorentz invariance of the S-matrix of massless gravitons, we derive on-shell gauge invariance to consist on the transverse part of the linearised diffeomorphisms group. Moreover, by looking to the interaction between sources, we conclude that there exist only two possible lagrangians that lead to a well-defined covariant interaction, corresponding to the weak field limits of General Relativity and Unimodular Gravity. Additionally, this result confirms the equivalence of the S-matrix of both theories around flat space-time. |
1308.1083 | Eric Perlmutter | Eric Perlmutter | A universal feature of CFT Renyi entropy | 19 pages + refs; v3: minor revisions | null | 10.1007/JHEP03(2014)117 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that for a d-dimensional CFT in flat space, the Renyi entropy S_q
across a spherical entangling surface has the following property: in an
expansion around q=1, the first correction to the entanglement entropy is
proportional to C_T, the coefficient of the stress tensor vacuum two-point
function, with a fixed d-dependent coefficient. This is equivalent to a similar
statement about the free energy of CFTs living on S^1 x H^{d-1} with inverse
temperature \beta=2\pi q. In addition to furnishing a direct argument
applicable to all CFTs, we exhibit this result using a handful of gravity and
field theory computations. Knowledge of C_T thus doubles as knowledge of Renyi
entropies in the neighborhood of q=1, which we use to establish new results in
3d vector models at large N.
| [
{
"created": "Mon, 5 Aug 2013 19:54:06 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Aug 2013 23:40:49 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Mar 2014 15:11:47 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Perlmutter",
"Eric",
""
]
] | We show that for a d-dimensional CFT in flat space, the Renyi entropy S_q across a spherical entangling surface has the following property: in an expansion around q=1, the first correction to the entanglement entropy is proportional to C_T, the coefficient of the stress tensor vacuum two-point function, with a fixed d-dependent coefficient. This is equivalent to a similar statement about the free energy of CFTs living on S^1 x H^{d-1} with inverse temperature \beta=2\pi q. In addition to furnishing a direct argument applicable to all CFTs, we exhibit this result using a handful of gravity and field theory computations. Knowledge of C_T thus doubles as knowledge of Renyi entropies in the neighborhood of q=1, which we use to establish new results in 3d vector models at large N. |
hep-th/9602035 | Teruhiko Kawano | Teruhiko Kawano | Duality of N=1 Supersymmetric SO(10) Gauge Theory with Matter in the
Spinorial Representation | 8 pages, harvmac | Prog.Theor.Phys. 95 (1996) 963-968 | 10.1143/PTP.95.963 | YITP-96-5 | hep-th hep-ph | null | We study $N=1$ supersymmetric $SO(10)$ gauge theory with a field in the
spinorial representaition and $N_f$ ($\leq8$) fields in the defining
representation. It is shown that this theory for $N_f=7,8$ has a dual
description, which is $N=1$ supersymmetric $SU(N_f-5)$ gauge theory. Its matter
content for $N_f=7$ is different {}from the one for $N_f=8$; for $N_f=7$, it
contains $8$ fields in the anti-fundamental representation. For $N_f=8$, a
rank-$2$ symmetric tensor and one field in the fundamental representation
appears in addition to them. This duality connects along the flat direction to
the duality between chiral and vector gauge theory found by Pouliot.
| [
{
"created": "Wed, 7 Feb 1996 13:16:13 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kawano",
"Teruhiko",
""
]
] | We study $N=1$ supersymmetric $SO(10)$ gauge theory with a field in the spinorial representaition and $N_f$ ($\leq8$) fields in the defining representation. It is shown that this theory for $N_f=7,8$ has a dual description, which is $N=1$ supersymmetric $SU(N_f-5)$ gauge theory. Its matter content for $N_f=7$ is different {}from the one for $N_f=8$; for $N_f=7$, it contains $8$ fields in the anti-fundamental representation. For $N_f=8$, a rank-$2$ symmetric tensor and one field in the fundamental representation appears in addition to them. This duality connects along the flat direction to the duality between chiral and vector gauge theory found by Pouliot. |
1302.1445 | Stuart Dowker | J.S.Dowker | A note on the torque anomaly | 10 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I reproduce, in the case of a conical geometry, the torque anomaly recently
noted by Fulling, Mera and Trendafilova for the wedge. The expected
conservation equation is obtained by a variational method and a mathematical
cancellation of the anomaly is exhibited, motivated by the process of
truncating the cone at some inner radius.
| [
{
"created": "Wed, 6 Feb 2013 17:35:23 GMT",
"version": "v1"
}
] | 2013-02-07 | [
[
"Dowker",
"J. S.",
""
]
] | I reproduce, in the case of a conical geometry, the torque anomaly recently noted by Fulling, Mera and Trendafilova for the wedge. The expected conservation equation is obtained by a variational method and a mathematical cancellation of the anomaly is exhibited, motivated by the process of truncating the cone at some inner radius. |
1102.5481 | Diego Rodriguez-Gomez | Diego Rodriguez-Gomez | Baryonic symmetries in AdS_4/CFT_3: an overview | Contribution accepted for the AHEP special issue on "Computational
Algebraic Geometry in String and Gauge Theory" | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Global symmetries play an important role in classifying the spectrum of a
gauge theory. In the context of the AdS/CFT duality, global baryon-like
symmetries are specially interesting. In the gravity side, they correspond to
vector fields in AdS arising from KK reduction of the SUGRA p-form potentials.
We concentrate on the AdS_4/CFT_3 case, which presents very interesting
characteristic features. Following arXiv:1004.2045, we review aspects of such
symmetries, clarifying along the way some arguments in that reference. As a
byproduct, and in a slightly unrelated context, we also study Z-minimization,
focusing in the HVZ theory.
| [
{
"created": "Sun, 27 Feb 2011 08:21:24 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2011 12:30:08 GMT",
"version": "v2"
}
] | 2011-03-23 | [
[
"Rodriguez-Gomez",
"Diego",
""
]
] | Global symmetries play an important role in classifying the spectrum of a gauge theory. In the context of the AdS/CFT duality, global baryon-like symmetries are specially interesting. In the gravity side, they correspond to vector fields in AdS arising from KK reduction of the SUGRA p-form potentials. We concentrate on the AdS_4/CFT_3 case, which presents very interesting characteristic features. Following arXiv:1004.2045, we review aspects of such symmetries, clarifying along the way some arguments in that reference. As a byproduct, and in a slightly unrelated context, we also study Z-minimization, focusing in the HVZ theory. |
hep-th/0602120 | Fabio Zwirner | Giovanni Villadoro (Harvard U.) and Fabio Zwirner (Padova U.) | D terms from D-branes, gauge invariance and moduli stabilization in flux
compactifications | 1+31 pages, 1 figure | JHEP0603:087,2006 | 10.1088/1126-6708/2006/03/087 | DFPD-06/TH/01, HUTP-06/A0003 | hep-th hep-ph | null | We elucidate the structure of D terms in N=1 orientifold compactifications
with fluxes. As a case study, we consider a simple orbifold of the type-IIA
theory with D6-branes at angles, O6-planes and general NSNS, RR and
Scherk-Schwarz geometrical fluxes. We examine in detail the emergence of D
terms, in their standard supergravity form, from an appropriate limit of the
D-brane action. We derive the consistency conditions on gauged symmetries and
general fluxes coming from brane-localized Bianchi identities, and their
relation with the Freed-Witten anomaly. We extend our results to other N=1
compactifications and to non-geometrical fluxes. Finally, we discuss the
possible role of U(1) D terms in the stabilization of the untwisted moduli from
the closed string sector.
| [
{
"created": "Mon, 13 Feb 2006 20:26:56 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Feb 2006 18:10:08 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Villadoro",
"Giovanni",
"",
"Harvard U."
],
[
"Zwirner",
"Fabio",
"",
"Padova U."
]
] | We elucidate the structure of D terms in N=1 orientifold compactifications with fluxes. As a case study, we consider a simple orbifold of the type-IIA theory with D6-branes at angles, O6-planes and general NSNS, RR and Scherk-Schwarz geometrical fluxes. We examine in detail the emergence of D terms, in their standard supergravity form, from an appropriate limit of the D-brane action. We derive the consistency conditions on gauged symmetries and general fluxes coming from brane-localized Bianchi identities, and their relation with the Freed-Witten anomaly. We extend our results to other N=1 compactifications and to non-geometrical fluxes. Finally, we discuss the possible role of U(1) D terms in the stabilization of the untwisted moduli from the closed string sector. |
2112.03038 | Kazuki Hasebe | Kazuki Hasebe | $SO(5)$ Landau Model and 4D Quantum Hall Effect in The $SO(4)$ Monopole
Background | 1+32 pages, 7 figures; minor corrections | Phys.Rev. D 105 (2022) 065010 | 10.1103/PhysRevD.105.065010 | null | hep-th cond-mat.mes-hall math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We investigate the $SO(5)$ Landau problem in the $SO(4)$ monopole gauge field
background by applying the techniques of the non-linear realization of quantum
field theory. The $SO(4)$ monopole carries two topological invariants, the
second Chern number and a generalized Euler number, specified by the $SU(2)$
monopole and anti-monopole indices, $I_+$ and $I_-$. The energy levels of the
$SO(5)$ Landau problem are grouped into $\text{Min}(I_+, I_-) +1$ sectors, each
of which holds Landau levels. In the $n$-sector, $N$th Landau level eigenstates
constitute the $SO(5)$ irreducible representation with $(p,q)_5=(N+I_+ + I_--n,
N+n)_5$ whose function form is obtained from the $SO(5)$ non-linear realization
matrix. In the $n=0$ sector, the emergent quantum geometry of the lowest Landau
level is identified as the fuzzy four-sphere with radius being proportional to
the difference between $I_+$ and $I_-$. The Laughlin-like wavefunction is
constructed by imposing the $SO(5)$ lowest Landau level projection to the
many-body wavefunction made of the Slater determinant. We also analyze the
relativistic version of the $SO(5)$ Landau model to demonstrate the
Atiyah-Singer index theorem in the $SO(4)$ gauge field configuration.
| [
{
"created": "Mon, 6 Dec 2021 13:36:46 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2022 10:11:45 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Apr 2022 15:55:53 GMT",
"version": "v3"
}
] | 2022-04-11 | [
[
"Hasebe",
"Kazuki",
""
]
] | We investigate the $SO(5)$ Landau problem in the $SO(4)$ monopole gauge field background by applying the techniques of the non-linear realization of quantum field theory. The $SO(4)$ monopole carries two topological invariants, the second Chern number and a generalized Euler number, specified by the $SU(2)$ monopole and anti-monopole indices, $I_+$ and $I_-$. The energy levels of the $SO(5)$ Landau problem are grouped into $\text{Min}(I_+, I_-) +1$ sectors, each of which holds Landau levels. In the $n$-sector, $N$th Landau level eigenstates constitute the $SO(5)$ irreducible representation with $(p,q)_5=(N+I_+ + I_--n, N+n)_5$ whose function form is obtained from the $SO(5)$ non-linear realization matrix. In the $n=0$ sector, the emergent quantum geometry of the lowest Landau level is identified as the fuzzy four-sphere with radius being proportional to the difference between $I_+$ and $I_-$. The Laughlin-like wavefunction is constructed by imposing the $SO(5)$ lowest Landau level projection to the many-body wavefunction made of the Slater determinant. We also analyze the relativistic version of the $SO(5)$ Landau model to demonstrate the Atiyah-Singer index theorem in the $SO(4)$ gauge field configuration. |
2011.14419 | Jose Manuel Fernandez Queiruga | J. Queiruga | BPS deformations of the Skyrme model | 14 pages. No figures | Phys. Rev. D 103, 085018 (2021) | 10.1103/PhysRevD.103.085018 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study several deformations of the Skyrme model in three dimensions with
self-dual sectors of arbitrary baryonic charge. We show that, for a family of
background metrics as well as for a family of field dependent couplings, the
model has one BPS sector, which may have any topological charge. We also study
the gravitating case, where there are infinite BPS sectors, provided that a
cosmological constant is added to the model.
| [
{
"created": "Sun, 29 Nov 2020 18:59:46 GMT",
"version": "v1"
}
] | 2021-05-05 | [
[
"Queiruga",
"J.",
""
]
] | We study several deformations of the Skyrme model in three dimensions with self-dual sectors of arbitrary baryonic charge. We show that, for a family of background metrics as well as for a family of field dependent couplings, the model has one BPS sector, which may have any topological charge. We also study the gravitating case, where there are infinite BPS sectors, provided that a cosmological constant is added to the model. |
1511.01620 | Ardian Nata Atmaja | Ardian Nata Atmaja | A Method for BPS Equations of Vortices | 17 pages. Comments are welcomed | null | 10.1016/j.physletb.2017.03.007 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a new method for obtaining the BPS equations of static vortices
motivated by the results of the \textit{On-Shell} method on the standard
Maxwell-Higgs model and its Born-Infeld-Higgs model~\cite{Atmaja:2014fha}. Our
method relies on the existence of what we shall call an energy function, $Q$,
which is a mere function of the (effective) fields. The total energy of BPS
vortices, $E_{BPS}$, are simply given by a difference between the boundaries
value of $Q$ at $r\to\infty$ and at $r=0$, $E_{BPS}=Q(r\to\infty)-Q(r=0)$.
Imposing a condition that these (effective) fields are independent, we may
define a BPS Lagrangian, $\mathcal{L}_{BPS}$, derived by taking integral of
differential $Q$, $\mathcal{L}_{BPS}=-\int dQ$. Matching the Lagrangian
$\mathcal{L}_{BPS}$ with the corresponding effective Lagrangian, we can extract
several equations. Solving these equations yields the desired BPS equations
and, in some cases, also constraint equations. With our method, the various
known BPS equations of vortices are derived in a relatively simple procedure.
| [
{
"created": "Thu, 5 Nov 2015 06:14:06 GMT",
"version": "v1"
}
] | 2017-03-22 | [
[
"Atmaja",
"Ardian Nata",
""
]
] | We develop a new method for obtaining the BPS equations of static vortices motivated by the results of the \textit{On-Shell} method on the standard Maxwell-Higgs model and its Born-Infeld-Higgs model~\cite{Atmaja:2014fha}. Our method relies on the existence of what we shall call an energy function, $Q$, which is a mere function of the (effective) fields. The total energy of BPS vortices, $E_{BPS}$, are simply given by a difference between the boundaries value of $Q$ at $r\to\infty$ and at $r=0$, $E_{BPS}=Q(r\to\infty)-Q(r=0)$. Imposing a condition that these (effective) fields are independent, we may define a BPS Lagrangian, $\mathcal{L}_{BPS}$, derived by taking integral of differential $Q$, $\mathcal{L}_{BPS}=-\int dQ$. Matching the Lagrangian $\mathcal{L}_{BPS}$ with the corresponding effective Lagrangian, we can extract several equations. Solving these equations yields the desired BPS equations and, in some cases, also constraint equations. With our method, the various known BPS equations of vortices are derived in a relatively simple procedure. |
hep-th/0405184 | Constantinescu | Florin Constantinescu | Causal Perturbation Theory for the Supersymmetric Wess-Zumino Model | 20 pages | null | null | null | hep-th | null | We illustrate the causal perturbation and causal renormalization method (the
Epstein-Glaser method) for the case of the supersymmetric Wess-Zumino model.
Our study is based on the Hilbert space structure of the N=1 superspace.
| [
{
"created": "Fri, 21 May 2004 10:03:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Constantinescu",
"Florin",
""
]
] | We illustrate the causal perturbation and causal renormalization method (the Epstein-Glaser method) for the case of the supersymmetric Wess-Zumino model. Our study is based on the Hilbert space structure of the N=1 superspace. |
hep-th/9312200 | Shin'ichi Nojiri | Masako Kawamura, Akio Sugamoto and Shin'ichi Nojiri | Swimming of Microorganisms Viewed from String and Membrane Theories | pp20 OCHA-PP-38, NDA-FP-14, Latex file | Mod.Phys.Lett. A9 (1994) 1159-1174 | 10.1142/S0217732394000976 | null | hep-th | null | Swimming of microorganisms is studied from a viewpoint of extended objects
(strings and membranes) swimming in the incompressible f luid of low Reynolds
number. The flagellated motion is analyzed in two dimensional fluid, by using
the method developed in the ciliated motion with the Joukowski transformation.
Discussion is given on the conserved charges and the algebra which are
associated with the area (volume)- preserving diffeomorphisms giving the
swimming motion of microorganisms. It is also suggested that the $N$-point
string- and membrane-like amplitudes are useful for studying the collective
swimming motion of microorganisms when fluctuation of the vorticity
distribution exists in the sticky or rubber-like fluid.
| [
{
"created": "Tue, 28 Dec 1993 18:17:00 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jan 1994 23:06:00 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jan 1994 13:56:00 GMT",
"version": "v3"
}
] | 2009-10-22 | [
[
"Kawamura",
"Masako",
""
],
[
"Sugamoto",
"Akio",
""
],
[
"Nojiri",
"Shin'ichi",
""
]
] | Swimming of microorganisms is studied from a viewpoint of extended objects (strings and membranes) swimming in the incompressible f luid of low Reynolds number. The flagellated motion is analyzed in two dimensional fluid, by using the method developed in the ciliated motion with the Joukowski transformation. Discussion is given on the conserved charges and the algebra which are associated with the area (volume)- preserving diffeomorphisms giving the swimming motion of microorganisms. It is also suggested that the $N$-point string- and membrane-like amplitudes are useful for studying the collective swimming motion of microorganisms when fluctuation of the vorticity distribution exists in the sticky or rubber-like fluid. |
1912.12603 | Geunho Song | Xian-Hui Ge, Yunseok Seo, Sang-Jin Sin, Geunho Song % | New black holes with hyperscaling violation and transports of quantum
critical points with magnetic impurity | 35 pages, 26 figures | null | 10.1007/JHEP06(2020)128 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the magneto-transports of quantum matters doped with magnetic
impurities near the quantum critical points(QCP). For this, we first find new
black hole solution with hyper-scaling violation which is dual to such system.
By considering the fluctuation near this exact solution, we calculated all
transport coefficients using the holographic method. We applied our result to
the surface state of the topological insulator with magnetic doping and found
two QCP's, one bosonic and the other fermionic. It turns out that doped
Bi$_2$Se$_3$ and Bi$_2$Te$_3$ correspond to different QCP's. We also
investigated transports of QCP's as functions of physical parameters and found
that there are phase transitions as well as crossovers from weak localization
to weak anti-localization.
| [
{
"created": "Sun, 29 Dec 2019 08:03:47 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2020 13:10:40 GMT",
"version": "v2"
}
] | 2020-08-26 | [
[
"Ge",
"Xian-Hui",
""
],
[
"Seo",
"Yunseok",
""
],
[
"Sin",
"Sang-Jin",
""
],
[
"%",
"Geunho Song",
""
]
] | We consider the magneto-transports of quantum matters doped with magnetic impurities near the quantum critical points(QCP). For this, we first find new black hole solution with hyper-scaling violation which is dual to such system. By considering the fluctuation near this exact solution, we calculated all transport coefficients using the holographic method. We applied our result to the surface state of the topological insulator with magnetic doping and found two QCP's, one bosonic and the other fermionic. It turns out that doped Bi$_2$Se$_3$ and Bi$_2$Te$_3$ correspond to different QCP's. We also investigated transports of QCP's as functions of physical parameters and found that there are phase transitions as well as crossovers from weak localization to weak anti-localization. |
hep-th/0409062 | Martin Ambauen | Martin Ambauen, Gunter Scharf | Violation of Quantum Gauge Invariance in Georgi-Glashow SU(5) | 22 pages, v4: Argument on BRST invariance removed | null | null | ZH-TH 14/2004 | hep-th | null | We check whether the SU(5) model, originally suggested by Georgi and Glashow,
is compatible with perturbative quantum gauge invariance in first and second
order for massive asymptotic gauge fields. We see that this is not the case:
the SU(5) grand unified model does not meet with our restrictions from second
order gauge invariance.
| [
{
"created": "Mon, 6 Sep 2004 14:43:06 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Mar 2005 13:53:20 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Mar 2005 13:37:12 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Jun 2005 13:24:26 GMT",
"version": "v4"
},
{
"created": "Wed, 29 Jun 2005 11:19:26 GMT",
"version": "v5"
}
] | 2007-05-23 | [
[
"Ambauen",
"Martin",
""
],
[
"Scharf",
"Gunter",
""
]
] | We check whether the SU(5) model, originally suggested by Georgi and Glashow, is compatible with perturbative quantum gauge invariance in first and second order for massive asymptotic gauge fields. We see that this is not the case: the SU(5) grand unified model does not meet with our restrictions from second order gauge invariance. |
2207.14806 | Louise Dolan | Nikolaos Dokmetzoglou and Louise Dolan | Properties of the Conformal Yangian in Scalar and Gauge Field Theories | 38 pages | null | 10.1007/JHEP02(2023)137 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Properties of the SO(2,n) Yangian acting on scalar and gauge fields are
presented. This differential operator representation of the
infinite-dimensional extension of the conformal algebra SO(2,n) is proved to
satisfy the Serre relation for arbitrary spacetime dimension n for off-shell
scalar theory, but only on shell and for n=4 in the gauge theory. The SO(2,n)
Yangian acts simply on the off-shell kinematic invariants $(k_I+k_{I+1}+
...)^2$, and it annihilates individual off-shell scalar $\lambda \phi^3$
Feynman tree graphs for n=6 if the differential operator representation is
extended by graph dependent evaluation terms. The SO(2,4) Yangian level one
generators are shown to act in a compact way on pure Yang-Mills gluon tree
amplitudes. The action of the Yangian on the scattering polynomials of a CHY
formalism is also described.
| [
{
"created": "Fri, 29 Jul 2022 17:43:22 GMT",
"version": "v1"
}
] | 2023-03-01 | [
[
"Dokmetzoglou",
"Nikolaos",
""
],
[
"Dolan",
"Louise",
""
]
] | Properties of the SO(2,n) Yangian acting on scalar and gauge fields are presented. This differential operator representation of the infinite-dimensional extension of the conformal algebra SO(2,n) is proved to satisfy the Serre relation for arbitrary spacetime dimension n for off-shell scalar theory, but only on shell and for n=4 in the gauge theory. The SO(2,n) Yangian acts simply on the off-shell kinematic invariants $(k_I+k_{I+1}+ ...)^2$, and it annihilates individual off-shell scalar $\lambda \phi^3$ Feynman tree graphs for n=6 if the differential operator representation is extended by graph dependent evaluation terms. The SO(2,4) Yangian level one generators are shown to act in a compact way on pure Yang-Mills gluon tree amplitudes. The action of the Yangian on the scattering polynomials of a CHY formalism is also described. |
hep-th/0606067 | Ari Pakman | Ari Pakman | FZZ Scattering | 19 pages, JHEP style. v2: Minor changes in the proposed field of
sine-Liouville type, new section discussing the relation with parafermionic
symmetry, references added | JHEP0611:055,2006 | 10.1088/1126-6708/2006/11/055 | YITP-SB-06-20 | hep-th | null | We study the duality between the two dimensional black hole and the
sine-Liouville conformal field theories via exact operator quantization of a
classical scattering problem. The ideas are first illustrated in Liouville
theory, which is dual to itself under the interchange of the Liouville
parameter b by 1/b. In both cases, a classical scattering problem does not
determine uniquely the quantum reflection coefficient. The latter is only fixed
by assuming that the dual scattering problem has the same reflection
coefficient. We also discuss the relation of this approach to the method that
exploits the parafermionic symmetry of the model to compute the reflection
coefficient.
| [
{
"created": "Thu, 8 Jun 2006 16:42:43 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 2006 13:53:32 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Pakman",
"Ari",
""
]
] | We study the duality between the two dimensional black hole and the sine-Liouville conformal field theories via exact operator quantization of a classical scattering problem. The ideas are first illustrated in Liouville theory, which is dual to itself under the interchange of the Liouville parameter b by 1/b. In both cases, a classical scattering problem does not determine uniquely the quantum reflection coefficient. The latter is only fixed by assuming that the dual scattering problem has the same reflection coefficient. We also discuss the relation of this approach to the method that exploits the parafermionic symmetry of the model to compute the reflection coefficient. |
1301.6919 | Andrea Borghese | Andrea Borghese, Adolfo Guarino and Diederik Roest | The many surprises of maximal supergravity | Contribution to the proceedings of Barcelona Postgrad Encounters on
Fundamental Physics | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe recent developments regarding gauged N=8 supergravity in D=4.
Using the embedding tensor formulation we show how to classify all the extrema
of this theory with a G2 residual gauge symmetry. Our classification contains
all the vacua of the recently discovered family of SO(8) gauged maximal
supergravities.
| [
{
"created": "Tue, 29 Jan 2013 13:28:05 GMT",
"version": "v1"
}
] | 2013-01-30 | [
[
"Borghese",
"Andrea",
""
],
[
"Guarino",
"Adolfo",
""
],
[
"Roest",
"Diederik",
""
]
] | We describe recent developments regarding gauged N=8 supergravity in D=4. Using the embedding tensor formulation we show how to classify all the extrema of this theory with a G2 residual gauge symmetry. Our classification contains all the vacua of the recently discovered family of SO(8) gauged maximal supergravities. |
1512.07600 | Ilya Lvovich Shapiro | Leonardo Modesto (Fudan University, China) and Ilya L. Shapiro (UFJF,
Brazil) | Superrenormalizable quantum gravity with complex ghosts | LaTeX, 15 pages, no figures. Modified version with small misprints
corrected and Acknowledgments section inserted. To be published in Physics
Letters B | null | 10.1016/j.physletb.2016.02.021 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest and briefly review a new sort of superrenormalizable models of
higher derivative quantum gravity. The higher derivative terms in the action
can be introduced in such a way that all the unphysical massive states have
complex poles. According to the literature on Lee-Wick quantization, in this
case the theory can be formulated as unitary, since all massive ghosts-like
degrees of freedom are unstable.
| [
{
"created": "Wed, 23 Dec 2015 19:48:59 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Feb 2016 06:20:37 GMT",
"version": "v2"
}
] | 2016-03-23 | [
[
"Modesto",
"Leonardo",
"",
"Fudan University, China"
],
[
"Shapiro",
"Ilya L.",
"",
"UFJF,\n Brazil"
]
] | We suggest and briefly review a new sort of superrenormalizable models of higher derivative quantum gravity. The higher derivative terms in the action can be introduced in such a way that all the unphysical massive states have complex poles. According to the literature on Lee-Wick quantization, in this case the theory can be formulated as unitary, since all massive ghosts-like degrees of freedom are unstable. |
1904.07082 | Carsten van de Bruck | Carsten van de Bruck and Cameron C. Thomas | Dark Energy, the Swampland and the Equivalence Principle | Version accepted for publication in Phys.Ref.D. References added,
additional information regarding the attractor mechanism during inflation,
cosmological parameter explicitly stated, typos corrected, clarifications
throughout the text. 9 pages, 6 figures | Phys. Rev. D 100, 023515 (2019) | 10.1103/PhysRevD.100.023515 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been argued that string theory does not admit de Sitter
vacua. This would imply that the current accelerated expansion of the universe
is not driven by a cosmological constant (or vacuum energy) but by other means
such as a quintessential scalar field. Such a scalar field is in general
expected to couple to at least some matter species, such as dark matter.
Cosmological observations already constrain such dark matter couplings
strongly. We argue that there are a number of interesting scenarios to be
explored, such as coupling functions which possess a minimum at finite field
values. In these theories, the effective gravitational coupling between dark
matter particles grows with time and are consistent with observations of the
anisotropies in the cosmic microwave background radiation and large scale
structures. We argue that such couplings might also help to alleviate the
tension between the swampland conjectures and the properties of the
quintessential potential. Observational signatures of violations of the
equivalence principle in the dark sector are expected in the non-linear regime
on intermediate or small scales.
| [
{
"created": "Mon, 15 Apr 2019 14:41:40 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Apr 2019 10:50:36 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jun 2019 15:37:29 GMT",
"version": "v3"
}
] | 2019-07-24 | [
[
"van de Bruck",
"Carsten",
""
],
[
"Thomas",
"Cameron C.",
""
]
] | It has recently been argued that string theory does not admit de Sitter vacua. This would imply that the current accelerated expansion of the universe is not driven by a cosmological constant (or vacuum energy) but by other means such as a quintessential scalar field. Such a scalar field is in general expected to couple to at least some matter species, such as dark matter. Cosmological observations already constrain such dark matter couplings strongly. We argue that there are a number of interesting scenarios to be explored, such as coupling functions which possess a minimum at finite field values. In these theories, the effective gravitational coupling between dark matter particles grows with time and are consistent with observations of the anisotropies in the cosmic microwave background radiation and large scale structures. We argue that such couplings might also help to alleviate the tension between the swampland conjectures and the properties of the quintessential potential. Observational signatures of violations of the equivalence principle in the dark sector are expected in the non-linear regime on intermediate or small scales. |
1508.03639 | Andreas Stergiou | Andreas Stergiou | Symplectic critical models in $6+\epsilon$ dimensions | 6 pages, 1 figure. v2: Fixed typos | null | 10.1016/j.physletb.2015.10.044 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider nontrivial critical models in $d=6+\epsilon$ spacetime dimensions
with anticommuting scalars transforming under the symplectic group
$\text{Sp}(N)$. These models are nonunitary, but the couplings are real and all
operator dimensions are positive. At large $N$ we can take $\epsilon\to1$
consistently with the loop expansion and thus provide evidence that these
theories may be used to define critical models in $d=7$. The relation of these
theories to critical $\text{Sp}(N)$ theories, defined similarly to the
well-known critical $\text{O}(N)$ theories, is examined, and some similarities
are pointed out.
| [
{
"created": "Fri, 14 Aug 2015 20:06:48 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Oct 2015 14:25:52 GMT",
"version": "v2"
}
] | 2015-10-28 | [
[
"Stergiou",
"Andreas",
""
]
] | We consider nontrivial critical models in $d=6+\epsilon$ spacetime dimensions with anticommuting scalars transforming under the symplectic group $\text{Sp}(N)$. These models are nonunitary, but the couplings are real and all operator dimensions are positive. At large $N$ we can take $\epsilon\to1$ consistently with the loop expansion and thus provide evidence that these theories may be used to define critical models in $d=7$. The relation of these theories to critical $\text{Sp}(N)$ theories, defined similarly to the well-known critical $\text{O}(N)$ theories, is examined, and some similarities are pointed out. |
1608.00305 | Sotaro Sugishita | Sotaro Sugishita | Entanglement entropy for free scalar fields in AdS | v3: 25 pages, 2 figures, typos corrected | JHEP09(2016)128 | 10.1007/JHEP09(2016)128 | OU-HET 903 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute entanglement entropy for free massive scalar fields in anti-de
Sitter (AdS) space. The entangling surface is a minimal surface whose boundary
is a sphere at the boundary of AdS. The entropy can be evaluated from the
thermal free energy of the fields on a topological black hole by using the
replica method. In odd-dimensional AdS, exact expressions of the Renyi entropy
$S_n$ are obtained for arbitrary $n$. We also evaluate 1-loop corrections
coming from the scalar fields to holographic entanglement entropy. Applying the
results, we compute the leading difference of entanglement entropy between two
holographic CFTs related by a renormalization group flow triggered by a double
trace deformation. The difference is proportional to the shift of a central
charge under the flow.
| [
{
"created": "Mon, 1 Aug 2016 03:04:36 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Aug 2016 23:18:05 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Nov 2017 08:28:16 GMT",
"version": "v3"
}
] | 2017-11-22 | [
[
"Sugishita",
"Sotaro",
""
]
] | We compute entanglement entropy for free massive scalar fields in anti-de Sitter (AdS) space. The entangling surface is a minimal surface whose boundary is a sphere at the boundary of AdS. The entropy can be evaluated from the thermal free energy of the fields on a topological black hole by using the replica method. In odd-dimensional AdS, exact expressions of the Renyi entropy $S_n$ are obtained for arbitrary $n$. We also evaluate 1-loop corrections coming from the scalar fields to holographic entanglement entropy. Applying the results, we compute the leading difference of entanglement entropy between two holographic CFTs related by a renormalization group flow triggered by a double trace deformation. The difference is proportional to the shift of a central charge under the flow. |
hep-th/9408048 | Noureddine Mohammedi | N. Mohammedi | N=2 Current Algebras for Non-Semi-Simple Groups | 10 pages, BONN-HE-94-09 | Phys.Lett.B337:279-284,1994 | 10.1016/0370-2693(94)90976-8 | null | hep-th | null | We examine the problem of constructing N=2 superconformal algebras out of N=1
non-semi-simple affine Lie algebras. These N=2 superconformal theories share
the property that the super Virasoro central charge depends only on the
dimension of the Lie algebra. We find, in particular, a construction having a
central charge c=9. This provides a possible internal space for string
compactification and where mirror symmetry might be explored.
| [
{
"created": "Mon, 8 Aug 1994 15:54:04 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Mohammedi",
"N.",
""
]
] | We examine the problem of constructing N=2 superconformal algebras out of N=1 non-semi-simple affine Lie algebras. These N=2 superconformal theories share the property that the super Virasoro central charge depends only on the dimension of the Lie algebra. We find, in particular, a construction having a central charge c=9. This provides a possible internal space for string compactification and where mirror symmetry might be explored. |
hep-th/0106150 | Sylvester James Gates Jr. | S. James Gates Jr | Superconformal Symmetry in 11D Superspace and the M-Theory Effective
Action | 24 pages, no figures, LaTeX twice, subsequent expanded treatment of
conf. geo | Nucl.Phys. B616 (2001) 85-105 | 10.1016/S0550-3213(01)00421-7 | UMDEPP 01-058 | hep-th | null | We establish a theorem about non-trivial 11D supergravity fluctuations that
are conformally related to flat superspace geometry. Under the assumption that
a theory of conformal 11D supergravity exists, similar in form to that of
previously constructed theories in lower dimensions, this theorem demands the
appearance of non-vanishing dimension 1/2 torsion tensors in order to
accommodate a non-trivial 11D conformal compensator and thus M-theory
corrections that break super-conformal symmetry. At the complete non-linear
level, a presentation of a conventional minimal superspace realization of Weyl
symmetry in eleven dimensional superspace is also described. All of our results
taken together imply that there exists some realization of conformal symmetry
relevant for the M-theory effective action. We thus led to conjecture this is
also true for the full and complete M-theory.
| [
{
"created": "Mon, 18 Jun 2001 14:39:20 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2001 16:57:34 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Gates",
"S. James",
"Jr"
]
] | We establish a theorem about non-trivial 11D supergravity fluctuations that are conformally related to flat superspace geometry. Under the assumption that a theory of conformal 11D supergravity exists, similar in form to that of previously constructed theories in lower dimensions, this theorem demands the appearance of non-vanishing dimension 1/2 torsion tensors in order to accommodate a non-trivial 11D conformal compensator and thus M-theory corrections that break super-conformal symmetry. At the complete non-linear level, a presentation of a conventional minimal superspace realization of Weyl symmetry in eleven dimensional superspace is also described. All of our results taken together imply that there exists some realization of conformal symmetry relevant for the M-theory effective action. We thus led to conjecture this is also true for the full and complete M-theory. |
1704.01870 | Gonzalo Torroba | Horacio Casini, Eduardo Teste, Gonzalo Torroba | Markov property of the CFT vacuum and the a-theorem | 5 pages, two columns, 1 figure. v3: matches journal version | Phys. Rev. Lett. 118, 261602 (2017) | 10.1103/PhysRevLett.118.261602 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use strong sub-additivity of entanglement entropy, Lorentz invariance, and
the Markov property of the vacuum state of a conformal field theory to give a
new proof of the irreversibility of the renormalization group in d=4 space-time
dimensions -- the a-theorem. This extends the proofs of the c and F theorems in
dimensions d=2 and d=3 based on vacuum entanglement entropy, and gives a
unified picture of all known irreversibility theorems in relativistic quantum
field theory.
| [
{
"created": "Thu, 6 Apr 2017 14:48:10 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Apr 2017 12:54:32 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Jun 2017 21:15:10 GMT",
"version": "v3"
}
] | 2017-07-05 | [
[
"Casini",
"Horacio",
""
],
[
"Teste",
"Eduardo",
""
],
[
"Torroba",
"Gonzalo",
""
]
] | We use strong sub-additivity of entanglement entropy, Lorentz invariance, and the Markov property of the vacuum state of a conformal field theory to give a new proof of the irreversibility of the renormalization group in d=4 space-time dimensions -- the a-theorem. This extends the proofs of the c and F theorems in dimensions d=2 and d=3 based on vacuum entanglement entropy, and gives a unified picture of all known irreversibility theorems in relativistic quantum field theory. |
2208.04306 | Nikita G. Misuna | Nikita Misuna | Unfolded Dynamics Approach and Quantum Field Theory | 27 pages. V4: brief explanatory comment after (3.5) added;
presentation in the Introduction and the Conclusion improved; references
added. This version has been accepted for publication in JHEP | JHEP 12 (2023) 119 | 10.1007/JHEP12(2023)119 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study quantization of a self-interacting scalar field within the unfolded
dynamics approach. To this end we find and analyze a classical unfolded system
describing 4d off-shell scalar field with a general self-interaction potential.
Then we systematically construct three different but related unfolded
formulations of the corresponding quantum field theory, supporting them with
illustrative calculations: an unfolded functional Schwinger-Dyson system, an
unfolded system for correlation functions and an unfolded effective system for
vertex functions. The most curious feature we reveal is that an unfolded
quantum commutator gets naturally regularized: a standard delta-function is
replaced with a heat kernel, parameterized by the unfolded proper time. We also
identify an auxiliary 5d system, having this proper time as a physical time,
which generates 4d scalar action as its on-shell action.
| [
{
"created": "Mon, 8 Aug 2022 17:55:46 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2023 13:08:56 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Oct 2023 14:08:36 GMT",
"version": "v3"
},
{
"created": "Sat, 16 Dec 2023 15:20:34 GMT",
"version": "v4"
}
] | 2023-12-22 | [
[
"Misuna",
"Nikita",
""
]
] | We study quantization of a self-interacting scalar field within the unfolded dynamics approach. To this end we find and analyze a classical unfolded system describing 4d off-shell scalar field with a general self-interaction potential. Then we systematically construct three different but related unfolded formulations of the corresponding quantum field theory, supporting them with illustrative calculations: an unfolded functional Schwinger-Dyson system, an unfolded system for correlation functions and an unfolded effective system for vertex functions. The most curious feature we reveal is that an unfolded quantum commutator gets naturally regularized: a standard delta-function is replaced with a heat kernel, parameterized by the unfolded proper time. We also identify an auxiliary 5d system, having this proper time as a physical time, which generates 4d scalar action as its on-shell action. |
hep-th/0611105 | William Linch III | William D. Linch III and Brenno Carlini Vallilo | Covariant N=2 heterotic string in four dimensions | 11+3 pages | JHEP 0703:082,2007 | 10.1088/1126-6708/2007/03/082 | YITP-SB-06-48 | hep-th | null | We construct a covariant formulation of the heterotic superstring on K3 times
T^2 with manifest N=2 supersymmetry. We show how projective superspace appears
naturally in the hybrid formulation giving a (partially) geometric
interpretation of the harmonic parameter. The low-energy effective action for
this theory is given by a non-standard form of N=2 supergravity which is
intimately related to the N=1 old-minimal formulation. This formalism can be
used to derive new descriptions of interacting projective superspace field
theories using Berkovits' open string field theory and the the heterotic
Berkovits-Okawa-Zwiebach construction.
| [
{
"created": "Thu, 9 Nov 2006 19:28:43 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Linch",
"William D.",
"III"
],
[
"Vallilo",
"Brenno Carlini",
""
]
] | We construct a covariant formulation of the heterotic superstring on K3 times T^2 with manifest N=2 supersymmetry. We show how projective superspace appears naturally in the hybrid formulation giving a (partially) geometric interpretation of the harmonic parameter. The low-energy effective action for this theory is given by a non-standard form of N=2 supergravity which is intimately related to the N=1 old-minimal formulation. This formalism can be used to derive new descriptions of interacting projective superspace field theories using Berkovits' open string field theory and the the heterotic Berkovits-Okawa-Zwiebach construction. |
0809.1200 | Philip D. Mannheim | Philip D. Mannheim | Dynamical symmetry breaking and the cosmological constant problem | 4 pages. Prepared for the proceedings of 34th International
Conference on High Energy Physics (ICHEP 2008), Philadelphia, July 2008.
Revised version contains minor changes to incorporate ICHEP08 modified
slac.rtx style file | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We outline a program with the potential to solve both the cosmological
constant and quantum gravity problems within a single, comprehensive framework,
one that is formulated entirely in four spacetime dimensions. The program is
based on an interplay between the dynamical symmetry breaking of particle
physics and a gravity theory, conformal gravity, which possesses an underlying
local conformal invariant structure. Central to the discussion is the
recognition that when symmetry is broken dynamically in a conformal invariant
theory, the cosmological constant is both induced by and constrained by
zero-point fluctuations. We describe what still needs to be done.
| [
{
"created": "Sun, 7 Sep 2008 00:52:33 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2008 14:00:31 GMT",
"version": "v2"
}
] | 2008-10-06 | [
[
"Mannheim",
"Philip D.",
""
]
] | We outline a program with the potential to solve both the cosmological constant and quantum gravity problems within a single, comprehensive framework, one that is formulated entirely in four spacetime dimensions. The program is based on an interplay between the dynamical symmetry breaking of particle physics and a gravity theory, conformal gravity, which possesses an underlying local conformal invariant structure. Central to the discussion is the recognition that when symmetry is broken dynamically in a conformal invariant theory, the cosmological constant is both induced by and constrained by zero-point fluctuations. We describe what still needs to be done. |
hep-th/9510145 | Evan Reidell | S. Deser and R. Jackiw | Energy-Momentum Tensor Improvements in Two Dimensions | 11 pages in REVTeX | Int J Mod Phys B10 1499(1996) | 10.1142/S021797929600060X | MIT-CTP-2469 | hep-th | null | We discuss some aspects of the two-dimensional scalar field, considering
particularly the action for the conformal anomaly as an ``improved''
gravitational coupling, and the possibility of introducing a dual coupling,
which provides a ``chiral'' energy-momentum tensor improvement.
| [
{
"created": "Thu, 19 Oct 1995 19:39:18 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Deser",
"S.",
""
],
[
"Jackiw",
"R.",
""
]
] | We discuss some aspects of the two-dimensional scalar field, considering particularly the action for the conformal anomaly as an ``improved'' gravitational coupling, and the possibility of introducing a dual coupling, which provides a ``chiral'' energy-momentum tensor improvement. |
hep-th/0610108 | Kumar S. Gupta | Kumar S. Gupta and Siddhartha Sen | Black Holes, Holography and Moduli Space Metric | 6 pages, Latex file | Phys.Lett.B646:265-267,2007 | 10.1016/j.physletb.2007.01.021 | SINP-TNP/06-26 | hep-th gr-qc | null | String theory can accommodate black holes with the black hole parameters
related to string moduli. It is a well known but remarkable feature that the
near horizon geometry of a large class of black holes arising from string
theory contains a BTZ part. A mathematical theorem (Sullivan's Theorem) relates
the three dimensional geometry of the BTZ metric to the conformal structures of
a two dimensional space, thus providing a precise kinematic statement of
holography. Using this theorem it is possible to argue that the string moduli
space in this region has to have negative curvature from the BTZ part of the
associated spacetime. This is consistent with a recent conjecture of Ooguri and
Vafa on string moduli space.
| [
{
"created": "Tue, 10 Oct 2006 04:57:31 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gupta",
"Kumar S.",
""
],
[
"Sen",
"Siddhartha",
""
]
] | String theory can accommodate black holes with the black hole parameters related to string moduli. It is a well known but remarkable feature that the near horizon geometry of a large class of black holes arising from string theory contains a BTZ part. A mathematical theorem (Sullivan's Theorem) relates the three dimensional geometry of the BTZ metric to the conformal structures of a two dimensional space, thus providing a precise kinematic statement of holography. Using this theorem it is possible to argue that the string moduli space in this region has to have negative curvature from the BTZ part of the associated spacetime. This is consistent with a recent conjecture of Ooguri and Vafa on string moduli space. |
hep-th/9806225 | S. Kalyana Rama | S. Kalyana Rama | Matrix Theory Description of Schwarzschild Black Holes in the Regime N
>> S | 22 pages. Latex file | Phys.Rev. D59 (1999) 024006 | 10.1103/PhysRevD.59.024006 | IMSc/98/06/34 | hep-th | null | We study the description of Schwarzschild black holes, of entropy S, within
matrix theory in the regime $N \ge S \gg 1$. We obtain the most general matrix
theory equation of state by requiring that black holes admit a description
within this theory. It has a recognisable form in various cases. In some cases
a D dimensional black hole can plausibly be thought of as a $\tilde{D} = D + 1$
dimensional black hole, described by another auxiliary matrix theory, but in
its $\tilde{N} \sim S$ regime. We find what appears to be a matrix theory
generalisation to higher dynamical branes of the normalisation of dynamical
string tension, seen in other contexts. We discuss a further possible
generalisation of the matrix theory equation of state. In a special case, it is
governed by $N^3$ dynamical degrees of freedom.
| [
{
"created": "Mon, 29 Jun 1998 04:57:53 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Rama",
"S. Kalyana",
""
]
] | We study the description of Schwarzschild black holes, of entropy S, within matrix theory in the regime $N \ge S \gg 1$. We obtain the most general matrix theory equation of state by requiring that black holes admit a description within this theory. It has a recognisable form in various cases. In some cases a D dimensional black hole can plausibly be thought of as a $\tilde{D} = D + 1$ dimensional black hole, described by another auxiliary matrix theory, but in its $\tilde{N} \sim S$ regime. We find what appears to be a matrix theory generalisation to higher dynamical branes of the normalisation of dynamical string tension, seen in other contexts. We discuss a further possible generalisation of the matrix theory equation of state. In a special case, it is governed by $N^3$ dynamical degrees of freedom. |
1512.04253 | Paul Henry Williams | P. H. Williams and F. G. Scholtz | A manifestly Lorentz covariant, interacting and non-commutative Dirac
equation | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a manifestly Lorentz covariant, non-commutative Dirac equation for
charged particles interacting with an electromagnetic field. The equation is
formulated on the operator level, but operators are not composed through the
normal operator product, but a modified product that restores the Lorentz
covariance. This equation is solved for the free particle and a particle moving
in a constant magnetic field. An abstract action, constructed on the operator
level, that yields this equation as equation of motion is also derived. To
relate this formalism to current formulations of non-commutative quantum field
theories, this action is written in a coherent state basis, leading to an
action in 4-dimensional Minkowski space-time. The resulting action differs from
existing non-commutative actions, but still exhibits non-commutative effects
through non-locality.
| [
{
"created": "Mon, 14 Dec 2015 10:54:53 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Sep 2016 07:16:38 GMT",
"version": "v2"
}
] | 2016-09-05 | [
[
"Williams",
"P. H.",
""
],
[
"Scholtz",
"F. G.",
""
]
] | We propose a manifestly Lorentz covariant, non-commutative Dirac equation for charged particles interacting with an electromagnetic field. The equation is formulated on the operator level, but operators are not composed through the normal operator product, but a modified product that restores the Lorentz covariance. This equation is solved for the free particle and a particle moving in a constant magnetic field. An abstract action, constructed on the operator level, that yields this equation as equation of motion is also derived. To relate this formalism to current formulations of non-commutative quantum field theories, this action is written in a coherent state basis, leading to an action in 4-dimensional Minkowski space-time. The resulting action differs from existing non-commutative actions, but still exhibits non-commutative effects through non-locality. |
hep-th/9602045 | Keith Dienes | Keith R. Dienes (Institute for Advanced Study, Princeton) | String Theory and the Path to Unification: A Review of Recent
Developments | 104 pages, LaTeX, 21 figures, 3 tables. Substantially expanded and
updated, with new material and references added. Final version to appear in
Physics Reports | Phys.Rept.287:447-525,1997 | 10.1016/S0370-1573(97)00009-4 | IASSNS-HEP-95/97 (September 1996) | hep-th hep-ph | null | This is a pedagogical review article surveying the various approaches towards
understanding gauge coupling unification within string theory. As is well
known, one of the major problems confronting string phenomenology has been an
apparent discrepancy between the scale of gauge coupling unification predicted
within string theory, and the unification scale expected within the framework
of the Minimal Supersymmetric Standard Model (MSSM). In this article, I provide
an overview of the different approaches that have been taken in recent years
towards reconciling these two scales, and outline some of the major recent
developments in each. These approaches include
1) string GUT models;
2) higher affine levels and non-standard hypercharge normalizations;
3) heavy string threshold corrections;
4) light supersymmetric thresholds;
5) effects from intermediate-scale gauge and matter structure beyond the
MSSM;
6) strings without supersymmetry; and
7) strings at strong coupling.
| [
{
"created": "Fri, 9 Feb 1996 06:44:13 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Oct 1996 23:24:24 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Mar 1997 20:55:28 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Dienes",
"Keith R.",
"",
"Institute for Advanced Study, Princeton"
]
] | This is a pedagogical review article surveying the various approaches towards understanding gauge coupling unification within string theory. As is well known, one of the major problems confronting string phenomenology has been an apparent discrepancy between the scale of gauge coupling unification predicted within string theory, and the unification scale expected within the framework of the Minimal Supersymmetric Standard Model (MSSM). In this article, I provide an overview of the different approaches that have been taken in recent years towards reconciling these two scales, and outline some of the major recent developments in each. These approaches include 1) string GUT models; 2) higher affine levels and non-standard hypercharge normalizations; 3) heavy string threshold corrections; 4) light supersymmetric thresholds; 5) effects from intermediate-scale gauge and matter structure beyond the MSSM; 6) strings without supersymmetry; and 7) strings at strong coupling. |
hep-th/0012246 | Youm Donam | Donam Youm | Cosmology of Dilatonic Brane World | 11 pages, LaTeX, references added | Mod.Phys.Lett. A16 (2001) 937-946 | 10.1142/S0217732301004169 | IC/2000/189 | hep-th astro-ph gr-qc hep-ph | null | We study cosmological solutions in the dilatonic brane world models. The
effective four-dimensional equations on the brane are analyzed for the models
with one positive tension brane and two branes with tensions of opposite signs.
Just as in the non-dilatonic brane case, the conventional Friedmann equations
of the four-dimensional universe are reproduced to the leading order in matter
energy density for the model with one brane and the introduction of a radion
potential is required in order to reproduce the Friedmann equations with the
correct sign for the model with two branes.
| [
{
"created": "Wed, 27 Dec 2000 16:13:15 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2001 13:17:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Youm",
"Donam",
""
]
] | We study cosmological solutions in the dilatonic brane world models. The effective four-dimensional equations on the brane are analyzed for the models with one positive tension brane and two branes with tensions of opposite signs. Just as in the non-dilatonic brane case, the conventional Friedmann equations of the four-dimensional universe are reproduced to the leading order in matter energy density for the model with one brane and the introduction of a radion potential is required in order to reproduce the Friedmann equations with the correct sign for the model with two branes. |
0907.3946 | Andrei Mironov | A.Marshakov, A.Mironov and A. Morozov | On Combinatorial Expansions of Conformal Blocks | 22 pages | Theor.Math.Phys.164:831-852,2010; Teor.Mat.Fiz.164:3-27,2010 | 10.1007/s11232-010-0067-6 | FIAN/TD-14/09, ITEP/TH-29/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper (arXiv:0906.3219) the representation of Nekrasov partition
function in terms of nontrivial two-dimensional conformal field theory has been
suggested. For non-vanishing value of the deformation parameter
\epsilon=\epsilon_1+\epsilon_2 the instanton partition function is identified
with a conformal block of Liouville theory with the central charge c = 1+
6\epsilon^2/\epsilon_1\epsilon_2. If reversed, this observation means that the
universal part of conformal blocks, which is the same for all two-dimensional
conformal theories with non-degenerate Virasoro representations, possesses a
non-trivial decomposition into sum over sets of the Young diagrams, different
from the natural decomposition studied in conformal field theory. We provide
some details about this intriguing new development in the simplest case of the
four-point correlation functions.
| [
{
"created": "Thu, 23 Jul 2009 12:27:37 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2010 14:00:08 GMT",
"version": "v2"
}
] | 2010-12-16 | [
[
"Marshakov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | In a recent paper (arXiv:0906.3219) the representation of Nekrasov partition function in terms of nontrivial two-dimensional conformal field theory has been suggested. For non-vanishing value of the deformation parameter \epsilon=\epsilon_1+\epsilon_2 the instanton partition function is identified with a conformal block of Liouville theory with the central charge c = 1+ 6\epsilon^2/\epsilon_1\epsilon_2. If reversed, this observation means that the universal part of conformal blocks, which is the same for all two-dimensional conformal theories with non-degenerate Virasoro representations, possesses a non-trivial decomposition into sum over sets of the Young diagrams, different from the natural decomposition studied in conformal field theory. We provide some details about this intriguing new development in the simplest case of the four-point correlation functions. |
1402.0733 | Gianni Tallarita | M.Shifman, Gianni Tallarita, A.Yung | More on the Abrikosov Strings with Non-Abelian Moduli | 13 pages, 2 figures | null | 10.1142/S0217751X14500626 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue explorations of deformed Abrikosov-Nielsen-Olesen (ANO) strings,
with non-Abelian moduli on the world sheet. In a simple model with an extra
field we find classically stable ANO and non-Abelian strings. The tension of
the latter is a few percent lower than the tension of the ANO string. Then we
calculate the interpolating field configuration. Once the kink mass $M_k$ and
the difference of tensions $\Delta T$ are found we calculate the decay rate of
the ANO string with a higher tension ("false vacuum") into the non-Abelian
string with the lower tension ("genuine vacuum") through the "bubble" formation
in the quasiclassical approximation.
| [
{
"created": "Tue, 4 Feb 2014 13:52:57 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Shifman",
"M.",
""
],
[
"Tallarita",
"Gianni",
""
],
[
"Yung",
"A.",
""
]
] | We continue explorations of deformed Abrikosov-Nielsen-Olesen (ANO) strings, with non-Abelian moduli on the world sheet. In a simple model with an extra field we find classically stable ANO and non-Abelian strings. The tension of the latter is a few percent lower than the tension of the ANO string. Then we calculate the interpolating field configuration. Once the kink mass $M_k$ and the difference of tensions $\Delta T$ are found we calculate the decay rate of the ANO string with a higher tension ("false vacuum") into the non-Abelian string with the lower tension ("genuine vacuum") through the "bubble" formation in the quasiclassical approximation. |
1105.2217 | Nele Callebaut | N. Callebaut, D. Dudal, H. Verschelde | Holographic rho mesons in an external magnetic field | 26 pages, 10 .pdf figures, v2: version accepted for publication in
JHEP | JHEP 1303 (2013) 033 | 10.1007/JHEP03(2013)033 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the rho meson in a uniform magnetic field eB using a holographic
QCD-model, more specifically a D4/D8/Dbar8 brane setup in the confinement phase
at zero temperature with two quenched flavours. The parameters of the model are
fixed by matching to corresponding dual field theory parameters at zero
magnetic field. We show that the up- and down-flavour branes respond
differently to the presence of the magnetic field in the dual QCD-like theory,
as expected because of the different electromagnetic charge carried by up- and
down-quark. We discuss how to recover the Landau levels, indicating an
instability of the QCD vacuum at eB = m_rho^2 towards a phase where charged rho
mesons are condensed, as predicted by Chernodub using effective QCD-models. We
improve on these existing effective QCD-model analyses by also taking into
account the chiral magnetic catalysis effect, which tells us that the
constituent quark masses rise with eB. This turns out to increase the value of
the critical magnetic field for the onset of rho meson condensation to eB = 1.1
m_rho^2 = 0.67 GeV^2. We briefly discuss the influence of pions, which turn out
to be irrelevant for the condensation in the approximation made.
| [
{
"created": "Wed, 11 May 2011 15:16:08 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Mar 2013 13:21:24 GMT",
"version": "v2"
}
] | 2013-11-01 | [
[
"Callebaut",
"N.",
""
],
[
"Dudal",
"D.",
""
],
[
"Verschelde",
"H.",
""
]
] | We study the rho meson in a uniform magnetic field eB using a holographic QCD-model, more specifically a D4/D8/Dbar8 brane setup in the confinement phase at zero temperature with two quenched flavours. The parameters of the model are fixed by matching to corresponding dual field theory parameters at zero magnetic field. We show that the up- and down-flavour branes respond differently to the presence of the magnetic field in the dual QCD-like theory, as expected because of the different electromagnetic charge carried by up- and down-quark. We discuss how to recover the Landau levels, indicating an instability of the QCD vacuum at eB = m_rho^2 towards a phase where charged rho mesons are condensed, as predicted by Chernodub using effective QCD-models. We improve on these existing effective QCD-model analyses by also taking into account the chiral magnetic catalysis effect, which tells us that the constituent quark masses rise with eB. This turns out to increase the value of the critical magnetic field for the onset of rho meson condensation to eB = 1.1 m_rho^2 = 0.67 GeV^2. We briefly discuss the influence of pions, which turn out to be irrelevant for the condensation in the approximation made. |
hep-th/0311234 | Pietro Menotti | Pietro Menotti and Erik Tonni | The tetrahedron graph in Liouville theory on the pseudosphere | 6 pages LaTex, 10 figures | Phys.Lett. B586 (2004) 425-431 | 10.1016/j.physletb.2004.01.027 | IFUP-TH 2003/46 | hep-th | null | We compute analytically the tetrahedron graph in Liouville theory on the
pseudosphere. The result allows to extend the check of the bootstrap formula of
Zamolodchikov and Zamolodchikov to third order perturbation theory of the
coefficient G3. We obtain complete agreement.
| [
{
"created": "Tue, 25 Nov 2003 11:01:34 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Menotti",
"Pietro",
""
],
[
"Tonni",
"Erik",
""
]
] | We compute analytically the tetrahedron graph in Liouville theory on the pseudosphere. The result allows to extend the check of the bootstrap formula of Zamolodchikov and Zamolodchikov to third order perturbation theory of the coefficient G3. We obtain complete agreement. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.