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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0912.1090 | Arjun Bagchi | Arjun Bagchi, Rajesh Gopakumar, Ipsita Mandal, Akitsugu Miwa | GCA in 2d | 45 pages; v2: 47 pages. Restructured introduction, minor corrections,
added references. Journal version | JHEP 1008:004,2010 | 10.1007/JHEP08(2010)004 | HRI/ST/0923 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We make a detailed study of the infinite dimensional Galilean Conformal
Algebra (GCA) in the case of two spacetime dimensions. Classically, this
algebra is precisely obtained from a contraction of the generators of the
relativistic conformal symmetry in 2d. Here we find quantum mechanical
realisations of the (centrally extended) GCA by considering scaling limits of
certain 2d CFTs. These parent CFTs are non-unitary and have their left and
right central charges become large in magnitude and opposite in sign. We
therefore develop, in parallel to the usual machinery for 2d CFT, many of the
tools for the analysis of the quantum mechanical GCA. These include the
representation theory based on GCA primaries, Ward identities for their
correlation functions and a nonrelativistic Kac table. In particular, the null
vectors of the GCA lead to differential equations for the four point function.
The solution to these equations in the simplest case is explicitly obtained and
checked to be consistent with various requirements.
| [
{
"created": "Sun, 6 Dec 2009 10:48:32 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Oct 2010 11:32:21 GMT",
"version": "v2"
}
] | 2010-10-08 | [
[
"Bagchi",
"Arjun",
""
],
[
"Gopakumar",
"Rajesh",
""
],
[
"Mandal",
"Ipsita",
""
],
[
"Miwa",
"Akitsugu",
""
]
] | We make a detailed study of the infinite dimensional Galilean Conformal Algebra (GCA) in the case of two spacetime dimensions. Classically, this algebra is precisely obtained from a contraction of the generators of the relativistic conformal symmetry in 2d. Here we find quantum mechanical realisations of the (centrally extended) GCA by considering scaling limits of certain 2d CFTs. These parent CFTs are non-unitary and have their left and right central charges become large in magnitude and opposite in sign. We therefore develop, in parallel to the usual machinery for 2d CFT, many of the tools for the analysis of the quantum mechanical GCA. These include the representation theory based on GCA primaries, Ward identities for their correlation functions and a nonrelativistic Kac table. In particular, the null vectors of the GCA lead to differential equations for the four point function. The solution to these equations in the simplest case is explicitly obtained and checked to be consistent with various requirements. |
hep-th/0703266 | Nikolay Gromov | Nikolay Gromov, Pedro Vieira | Constructing the AdS/CFT dressing factor | 5 figures | Nucl.Phys.B790:72-88,2008 | 10.1016/j.nuclphysb.2007.08.019 | LPTENS-07/15 | hep-th | null | We prove the universality of the Hernandez-Lopez phase by deriving it from
first principles. We find a very simple integral representation for the phase
and discuss its possible origin from a nested Bethe ansatz structure.
Hopefully, the same kind of derivation could be used to constrain higher orders
of the full quantum dressing factor.
| [
{
"created": "Thu, 29 Mar 2007 17:44:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gromov",
"Nikolay",
""
],
[
"Vieira",
"Pedro",
""
]
] | We prove the universality of the Hernandez-Lopez phase by deriving it from first principles. We find a very simple integral representation for the phase and discuss its possible origin from a nested Bethe ansatz structure. Hopefully, the same kind of derivation could be used to constrain higher orders of the full quantum dressing factor. |
hep-th/0411176 | Hans-Thomas Elze | H.-T. Elze | On quantum mechanics as constrained N=2 supersymmetric classical
mechanics | 11 pages | Phys.Lett. A335 (2005) 258-265 | 10.1016/j.physleta.2004.12.045 | null | hep-th physics.class-ph quant-ph | null | The Schr\"odinger equation is shown to be equivalent to a constrained
Liouville equation under the assumption that phase space is extended to
Grassmann algebra valued variables. For onedimensional systems, the underlying
Hamiltonian dynamics has a N=2 supersymmetry. Potential applications to more
realistic theories are briefly discussed.
| [
{
"created": "Thu, 18 Nov 2004 23:24:20 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Elze",
"H. -T.",
""
]
] | The Schr\"odinger equation is shown to be equivalent to a constrained Liouville equation under the assumption that phase space is extended to Grassmann algebra valued variables. For onedimensional systems, the underlying Hamiltonian dynamics has a N=2 supersymmetry. Potential applications to more realistic theories are briefly discussed. |
1003.5711 | In Yong Park | I. Y. Park | Pure spinor computation towards open string three-loop | 41 pages, latex, cosmetic changes | JHEP 1009:008,2010 | 10.1007/JHEP09(2010)008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the recent results in the pure spinor formulation, we lay out a
ground-work towards the full momentum space amplitudes of open superstrings at
three-loop. After briefly reviewing the one-loop amplitude, we directly work
out the two-loop and reproduce the result that was obtained by a symmetry
argument. For the three-loop, first we use the two-loop regulator as a warm-up
exercise. The result vanishes. We then employ the regulator that has been
recently proposed by Aisaka and Berkovits (AB). It is noted that the terms in
higher power in $\frac{1}{\lambda\bar{\lambda}}$ that render the two-loop
regulator disqualified for the three-loop do not contribute. This with a few
other indications suggests a possibility that the AB regulator might also lead
to a vanishing result. Nevertheless, we argue that it is possible to acquire
the three-loop amplitude, and present a result that we anticipate to be the
three-loop amplitude.
| [
{
"created": "Tue, 30 Mar 2010 01:02:06 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Apr 2010 13:16:04 GMT",
"version": "v2"
},
{
"created": "Sun, 16 May 2010 01:08:59 GMT",
"version": "v3"
},
{
"created": "Sun, 30 May 2010 12:57:40 GMT",
"version": "v4"
},
{
"c... | 2010-09-28 | [
[
"Park",
"I. Y.",
""
]
] | Using the recent results in the pure spinor formulation, we lay out a ground-work towards the full momentum space amplitudes of open superstrings at three-loop. After briefly reviewing the one-loop amplitude, we directly work out the two-loop and reproduce the result that was obtained by a symmetry argument. For the three-loop, first we use the two-loop regulator as a warm-up exercise. The result vanishes. We then employ the regulator that has been recently proposed by Aisaka and Berkovits (AB). It is noted that the terms in higher power in $\frac{1}{\lambda\bar{\lambda}}$ that render the two-loop regulator disqualified for the three-loop do not contribute. This with a few other indications suggests a possibility that the AB regulator might also lead to a vanishing result. Nevertheless, we argue that it is possible to acquire the three-loop amplitude, and present a result that we anticipate to be the three-loop amplitude. |
hep-th/0411267 | Ricardo Schiappa | Jose Natario, Ricardo Schiappa | On the Classification of Asymptotic Quasinormal Frequencies for
d-Dimensional Black Holes and Quantum Gravity | JHEP3.cls, 100 pages, 54 figures; v2: added references; v3: final
version for ATMP, more references, minor changes + new results: scalar type
perturbations of S-AdS and RN-AdS black holes in d=5 lead to a continuous
spectrum | Adv.Theor.Math.Phys.8:1001-1131,2004 | null | null | hep-th astro-ph gr-qc hep-ph math-ph math.MP | null | We provide a complete classification of asymptotic quasinormal frequencies
for static, spherically symmetric black hole spacetimes in d dimensions. This
includes all possible types of gravitational perturbations (tensor, vector and
scalar type) as described by the Ishibashi-Kodama master equations. The
frequencies for Schwarzschild are dimension independent, while for RN are
dimension dependent (the extremal RN case must be considered separately from
the non-extremal case). For Schwarzschild dS, there is a dimension independent
formula for the frequencies, except in dimension d=5 where the formula is
different. For RN dS there is a dimension dependent formula for the
frequencies, except in dimension d=5 where the formula is different.
Schwarzschild and RN AdS black hole spacetimes are simpler: the formulae for
the frequencies will depend upon a parameter related to the tortoise coordinate
at spatial infinity, and scalar type perturbations in dimension d=5 lead to a
continuous spectrum for the quasinormal frequencies. We also address non-black
hole spacetimes, such as pure dS spacetime--where there are quasinormal modes
only in odd dimensions--and pure AdS spacetime--where again scalar type
perturbations in dimension d=5 lead to a continuous spectrum for the normal
frequencies. Our results match previous numerical calculations with great
accuracy. Asymptotic quasinormal frequencies have also been applied in the
framework of quantum gravity for black holes. Our results show that it is only
in the simple Schwarzschild case which is possible to obtain sensible results
concerning area quantization or loop quantum gravity. In an effort to keep this
paper self-contained we also review earlier results in the literature.
| [
{
"created": "Mon, 29 Nov 2004 21:44:40 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 2004 16:29:14 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jun 2005 15:54:03 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Natario",
"Jose",
""
],
[
"Schiappa",
"Ricardo",
""
]
] | We provide a complete classification of asymptotic quasinormal frequencies for static, spherically symmetric black hole spacetimes in d dimensions. This includes all possible types of gravitational perturbations (tensor, vector and scalar type) as described by the Ishibashi-Kodama master equations. The frequencies for Schwarzschild are dimension independent, while for RN are dimension dependent (the extremal RN case must be considered separately from the non-extremal case). For Schwarzschild dS, there is a dimension independent formula for the frequencies, except in dimension d=5 where the formula is different. For RN dS there is a dimension dependent formula for the frequencies, except in dimension d=5 where the formula is different. Schwarzschild and RN AdS black hole spacetimes are simpler: the formulae for the frequencies will depend upon a parameter related to the tortoise coordinate at spatial infinity, and scalar type perturbations in dimension d=5 lead to a continuous spectrum for the quasinormal frequencies. We also address non-black hole spacetimes, such as pure dS spacetime--where there are quasinormal modes only in odd dimensions--and pure AdS spacetime--where again scalar type perturbations in dimension d=5 lead to a continuous spectrum for the normal frequencies. Our results match previous numerical calculations with great accuracy. Asymptotic quasinormal frequencies have also been applied in the framework of quantum gravity for black holes. Our results show that it is only in the simple Schwarzschild case which is possible to obtain sensible results concerning area quantization or loop quantum gravity. In an effort to keep this paper self-contained we also review earlier results in the literature. |
2006.11253 | Tobias Hansen | Parijat Dey, Tobias Hansen, Mykola Shpot | Operator expansions, layer susceptibility and two-point functions in
BCFT | 34 pages, 1 figure, v2: minor improvements | null | 10.1007/JHEP12(2020)051 | UUITP-21/20 | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | We show that in boundary CFTs, there exists a one-to-one correspondence
between the boundary operator expansion of the two-point correlation function
and a power series expansion of the layer susceptibility. This general property
allows the direct identification of the boundary spectrum and expansion
coefficients from the layer susceptibility and opens a new way for efficient
calculations of two-point correlators in BCFTs. To show how it works we derive
an explicit expression for the correlation function $\langle\phi_i
\phi^i\rangle$ of the O(N) model at the extraordinary transition in
4-$\epsilon$ dimensional semi-infinite space to order $O(\epsilon)$. The bulk
operator product expansion of the two-point function gives access to the
spectrum of the bulk CFT. In our example, we obtain the averaged anomalous
dimensions of scalar composite operators of the O(N) model to order
$O(\epsilon^2)$. These agree with the known results both in $\epsilon$ and
large-N expansions.
| [
{
"created": "Fri, 19 Jun 2020 17:40:47 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Dec 2020 18:45:45 GMT",
"version": "v2"
}
] | 2020-12-11 | [
[
"Dey",
"Parijat",
""
],
[
"Hansen",
"Tobias",
""
],
[
"Shpot",
"Mykola",
""
]
] | We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility. This general property allows the direct identification of the boundary spectrum and expansion coefficients from the layer susceptibility and opens a new way for efficient calculations of two-point correlators in BCFTs. To show how it works we derive an explicit expression for the correlation function $\langle\phi_i \phi^i\rangle$ of the O(N) model at the extraordinary transition in 4-$\epsilon$ dimensional semi-infinite space to order $O(\epsilon)$. The bulk operator product expansion of the two-point function gives access to the spectrum of the bulk CFT. In our example, we obtain the averaged anomalous dimensions of scalar composite operators of the O(N) model to order $O(\epsilon^2)$. These agree with the known results both in $\epsilon$ and large-N expansions. |
hep-th/0409080 | Fang Wei | Wei Fang, H.Q.Lu, Z.G.Huang, K.F.Zhang | The Evolution of Universe with th B-I Type Phantom Scalar Field | 17 pages, 10 figures,typos corrected, references added,figures added
and enriched, title changed, main result remained | Int.J.Mod.Phys. D15 (2006) 199-214 | 10.1142/S0218271806008231 | null | hep-th astro-ph | null | We considered the phantom cosmology with a lagrangian $\displaystyle
L=\frac{1}{\eta}[1-\sqrt{1+\eta g^{\mu\nu}\phi_{, \mu}\phi_{, \nu}}]-u(\phi)$,
which is original from the nonlinear Born-Infeld type scalar field with the
lagrangian $\displaystyle L=\frac{1}{\eta}[1-\sqrt{1-\eta g^{\mu\nu}\phi_{,
\mu}\phi_{, \nu}}]-u(\phi)$. This cosmological model can explain the
accelerated expansion of the universe with the equation of state parameter
$w\leq-1$. We get a sufficient condition for a arbitrary potential to admit a
late time attractor solution: the value of potential $u(X_c)$ at the critical
point $(X_c,0)$ should be maximum and large than zero. We study a specific
potential with the form of
$u(\phi)=V_0(1+\frac{\phi}{\phi_0})e^{(-\frac{\phi}{\phi_0})}$ via phase plane
analysis and compute the cosmological evolution by numerical analysis in
detail. The result shows that the phantom field survive till today (to account
for the observed late time accelerated expansion) without interfering with the
nucleosynthesis of the standard model(the density parameter
$\Omega_{\phi}\simeq10^{-12}$ at the equipartition epoch), and also avoid the
future collapse of the universe.
| [
{
"created": "Tue, 7 Sep 2004 14:18:29 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Feb 2005 02:16:04 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Mar 2005 06:56:32 GMT",
"version": "v3"
},
{
"created": "Fri, 15 Jul 2005 03:00:45 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Fang",
"Wei",
""
],
[
"Lu",
"H. Q.",
""
],
[
"Huang",
"Z. G.",
""
],
[
"Zhang",
"K. F.",
""
]
] | We considered the phantom cosmology with a lagrangian $\displaystyle L=\frac{1}{\eta}[1-\sqrt{1+\eta g^{\mu\nu}\phi_{, \mu}\phi_{, \nu}}]-u(\phi)$, which is original from the nonlinear Born-Infeld type scalar field with the lagrangian $\displaystyle L=\frac{1}{\eta}[1-\sqrt{1-\eta g^{\mu\nu}\phi_{, \mu}\phi_{, \nu}}]-u(\phi)$. This cosmological model can explain the accelerated expansion of the universe with the equation of state parameter $w\leq-1$. We get a sufficient condition for a arbitrary potential to admit a late time attractor solution: the value of potential $u(X_c)$ at the critical point $(X_c,0)$ should be maximum and large than zero. We study a specific potential with the form of $u(\phi)=V_0(1+\frac{\phi}{\phi_0})e^{(-\frac{\phi}{\phi_0})}$ via phase plane analysis and compute the cosmological evolution by numerical analysis in detail. The result shows that the phantom field survive till today (to account for the observed late time accelerated expansion) without interfering with the nucleosynthesis of the standard model(the density parameter $\Omega_{\phi}\simeq10^{-12}$ at the equipartition epoch), and also avoid the future collapse of the universe. |
1810.01799 | Daniele Musso | Daniele Musso | Simplest phonons and pseudo-phonons in field theory | 25 pages, 1 figure; (v3 extended analysis, typo fixed) | null | 10.1140/epjc/s10052-019-7498-5 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the emergence of Nambu-Goldstone modes due to broken translation
symmetry in field theory. Purely spontaneous breaking yields a massless phonon
which develops a mass upon introducing a perturbative explicit breaking. The
pseudo-phonon mass agrees with Gell Mann-Oakes-Renner relations. We analyze the
simplest possible theories featuring gradient Mexican hats and describing
space-dependent order parameters. We comment on homogeneous translation
breaking and the connections with holographic Q-lattices.
| [
{
"created": "Wed, 3 Oct 2018 15:35:34 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Dec 2018 13:26:46 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Mar 2019 14:36:23 GMT",
"version": "v3"
}
] | 2020-01-08 | [
[
"Musso",
"Daniele",
""
]
] | We study the emergence of Nambu-Goldstone modes due to broken translation symmetry in field theory. Purely spontaneous breaking yields a massless phonon which develops a mass upon introducing a perturbative explicit breaking. The pseudo-phonon mass agrees with Gell Mann-Oakes-Renner relations. We analyze the simplest possible theories featuring gradient Mexican hats and describing space-dependent order parameters. We comment on homogeneous translation breaking and the connections with holographic Q-lattices. |
1212.4345 | Frederik F. Van der Veken | F.F. Van der Veken, I.O. Cherednikov and T. Mertens | Evolution and Dynamics of Cusped Light-Like Wilson Loops in Loop Space | Proceedings for Diffraction 2012, Lanzarote, Spain. 5 pages, 2
figures | AIP Conf. Proc. 1523 (2013) 272 - 275 | 10.1063/1.4802165 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the possible relation between the singular structure of TMDs on
the light-cone and the geometrical behaviour of rectangular Wilson loops.
| [
{
"created": "Tue, 18 Dec 2012 13:31:03 GMT",
"version": "v1"
}
] | 2013-04-30 | [
[
"Van der Veken",
"F. F.",
""
],
[
"Cherednikov",
"I. O.",
""
],
[
"Mertens",
"T.",
""
]
] | We discuss the possible relation between the singular structure of TMDs on the light-cone and the geometrical behaviour of rectangular Wilson loops. |
hep-th/9903142 | Csaba Csaki | Csaba Csaki and John Terning (Berkeley) | Glueball Mass Spectrum from Supergravity | 7 pages, RevTeX. Based on two talks presented at DPF '99, UCLA, Los
Angeles, CA, 5-9 January, 1999 | AIP Conf.Proc.494:321-328,1999 | 10.1063/1.1301679 | LBNL-42987, UCB-PTH-99/08 | hep-th hep-lat hep-ph | null | We review the calculation of the spectrum of glueball masses in
non-supersymmetric Yang-Mills theory using the conjectured duality between
supergravity and large N gauge theories. The glueball masses are obtained by
solving the supergravity wave equations in a black hole geometry. The glueball
masses found this way are in unexpected agreement with the available lattice
data. We also show how to use a modified version of the duality based on
rotating branes to calculate the glueball mass spectrum with some of the
Kaluza-Klein states of the supergravity theory decoupled from the spectrum.
| [
{
"created": "Wed, 17 Mar 1999 01:41:49 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Csaki",
"Csaba",
"",
"Berkeley"
],
[
"Terning",
"John",
"",
"Berkeley"
]
] | We review the calculation of the spectrum of glueball masses in non-supersymmetric Yang-Mills theory using the conjectured duality between supergravity and large N gauge theories. The glueball masses are obtained by solving the supergravity wave equations in a black hole geometry. The glueball masses found this way are in unexpected agreement with the available lattice data. We also show how to use a modified version of the duality based on rotating branes to calculate the glueball mass spectrum with some of the Kaluza-Klein states of the supergravity theory decoupled from the spectrum. |
0712.3995 | Petr M. Lavrov | I.L. Buchbinder and P.M. Lavrov | BRST charge for nonlinear algebras | 4 pages, Latex, base on the talk given by P.M. Lavrov at the
International Workshop "Supersymmetries and Quantum Symmetries, Dubna, 2007.
To be publish in the Proceedings, a reference added | null | null | null | hep-th | null | We study the construction of the classical nilpotent canonical BRST charge
for the nonlinear gauge algebras where a commutator (in terms of Poisson
brackets) of the constraints is a finite order polynomial of the constraints.
| [
{
"created": "Mon, 24 Dec 2007 12:13:32 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2008 11:05:11 GMT",
"version": "v2"
}
] | 2008-01-24 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Lavrov",
"P. M.",
""
]
] | We study the construction of the classical nilpotent canonical BRST charge for the nonlinear gauge algebras where a commutator (in terms of Poisson brackets) of the constraints is a finite order polynomial of the constraints. |
hep-th/0504113 | Lahouari Mesref | L. Mesref | Maps between Deformed and Ordinary Gauge Fields | 10 pages | Int.J.Theor.Phys.44:1549-1557,2005 | 10.1007/s10773-005-4827-2 | null | hep-th | null | In this paper, we introduce a map between the q-deformed gauge fields defined
on the GL$_{q}(N) $-covariant quantum hyperplane and the ordinary gauge fields.
Perturbative analysis of the q-deformed QED at the classical level is presented
and gauge fixing $\grave{a} $ la BRST is discussed. An other star product
defined on the hybrid $(q,h) $% -plane is explicitly constructed .
| [
{
"created": "Wed, 13 Apr 2005 08:39:12 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Mesref",
"L.",
""
]
] | In this paper, we introduce a map between the q-deformed gauge fields defined on the GL$_{q}(N) $-covariant quantum hyperplane and the ordinary gauge fields. Perturbative analysis of the q-deformed QED at the classical level is presented and gauge fixing $\grave{a} $ la BRST is discussed. An other star product defined on the hybrid $(q,h) $% -plane is explicitly constructed . |
1106.4781 | Oscar Varela | Eoin 'O Colgain and Oscar Varela | Consistent reductions from D=11 beyond Sasaki-Einstein | Seven double column pages; v2: Acknowledgement added, version to be
published in Phys. Lett. B | null | 10.1016/j.physletb.2011.07.063 | KIAS.P11034, AEI-2011-036 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The most general class of warped AdS5 x M6 supersymmetric solutions in D=11
supergravity permit a consistent truncation to D=5 N=2 minimal gauged
supergravity. Here we extend this truncation, for a particular subclass of M6
manifolds, to D=5 N=4 gauged supergravity coupled to two vector multiplets. We
obtain the reduction ansatz by T-duality of a recently discussed type IIB
truncation on a generic Sasaki-Einstein five-fold, which becomes non-trivial in
D=11 and displays non-standard features due to the G-structure of the internal
M6. Using this truncation, we construct two new classes of warped and unwarped
non-supersymmetric AdS5 M-theory backgrounds. We also comment on possible
extensions of the reduction ansatz to the general class of M6 geometries.
| [
{
"created": "Thu, 23 Jun 2011 17:42:17 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2011 09:52:54 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Colgain",
"Eoin 'O",
""
],
[
"Varela",
"Oscar",
""
]
] | The most general class of warped AdS5 x M6 supersymmetric solutions in D=11 supergravity permit a consistent truncation to D=5 N=2 minimal gauged supergravity. Here we extend this truncation, for a particular subclass of M6 manifolds, to D=5 N=4 gauged supergravity coupled to two vector multiplets. We obtain the reduction ansatz by T-duality of a recently discussed type IIB truncation on a generic Sasaki-Einstein five-fold, which becomes non-trivial in D=11 and displays non-standard features due to the G-structure of the internal M6. Using this truncation, we construct two new classes of warped and unwarped non-supersymmetric AdS5 M-theory backgrounds. We also comment on possible extensions of the reduction ansatz to the general class of M6 geometries. |
1412.7463 | Jakob Lorenzen | Jakob Lorenzen and Dario Martelli | Comments on the Casimir energy in supersymmetric field theories | 35 pages; v2: typos corrected, minor changes and improvements,
version published on JHEP | JHEP 1507 (2015) 1 | 10.1007/JHEP07(2015)001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Casimir energy of four-dimensional supersymmetric gauge theories
in the context of the rigid limit of new minimal supergravity. Firstly,
revisiting the computation of the localized partition function on $S^1\times
S^3$, we recover the supersymmetric Casimir energy. Secondly, we consider the
same theories in the Hamiltonian formalism on $\mathbb{R}\times S^3$, focussing
on the free limit and including a one-parameter family of background gauge
fields along $\mathbb{R}$. We compute the vacuum expectation value of the
canonical Hamiltonian using zeta function regularization, and show that this
interpolates between the supersymmetric Casimir energy and the ordinary Casimir
energy of a supersymmetric free field theory.
| [
{
"created": "Tue, 23 Dec 2014 18:30:13 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jul 2015 10:44:58 GMT",
"version": "v2"
}
] | 2015-07-09 | [
[
"Lorenzen",
"Jakob",
""
],
[
"Martelli",
"Dario",
""
]
] | We study the Casimir energy of four-dimensional supersymmetric gauge theories in the context of the rigid limit of new minimal supergravity. Firstly, revisiting the computation of the localized partition function on $S^1\times S^3$, we recover the supersymmetric Casimir energy. Secondly, we consider the same theories in the Hamiltonian formalism on $\mathbb{R}\times S^3$, focussing on the free limit and including a one-parameter family of background gauge fields along $\mathbb{R}$. We compute the vacuum expectation value of the canonical Hamiltonian using zeta function regularization, and show that this interpolates between the supersymmetric Casimir energy and the ordinary Casimir energy of a supersymmetric free field theory. |
0805.4161 | Nikolaj Glazunov | Nikolaj M. Glazunov | On Homological and Homotopical Algebra of Supersymmetries and
Integrability in String Theory | 11 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The text contains introduction and preliminary definitions and results to my
talk on category theory description of supersymmetries and integrability in
string theory. In the talk I plan to present homological and homotopical
algebra framework for Calabi-Yau supermanifolds and stacks in open and closed
string theory. In the framework we investigate supersymmetries and
integrability.
| [
{
"created": "Tue, 27 May 2008 15:59:57 GMT",
"version": "v1"
},
{
"created": "Thu, 29 May 2008 15:38:31 GMT",
"version": "v2"
}
] | 2008-05-29 | [
[
"Glazunov",
"Nikolaj M.",
""
]
] | The text contains introduction and preliminary definitions and results to my talk on category theory description of supersymmetries and integrability in string theory. In the talk I plan to present homological and homotopical algebra framework for Calabi-Yau supermanifolds and stacks in open and closed string theory. In the framework we investigate supersymmetries and integrability. |
2106.05571 | Jerome P. Gauntlett | Davide Cassani, Jerome P. Gauntlett, Dario Martelli and James Sparks | Thermodynamics of accelerating and supersymmetric $AdS_4$ black holes | 47 pages. Very minor changes; published version | Phys. Rev. D 104, 086005 (2021) | 10.1103/PhysRevD.104.086005 | Imperial/TP/2021/JG/04 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamics of $AdS_4$ black hole solutions of
Einstein-Maxwell theory that are accelerating, rotating, and carry electric and
magnetic charges. We focus on the class for which the black hole horizon is a
spindle and can be uplifted on regular Sasaki-Einstein spaces to give solutions
of $D=11$ supergravity that are free from conical singularities. We use
holography to calculate the Euclidean on-shell action and to define a set of
conserved charges which give rise to a first law. We identify a complex locus
of supersymmetric and non-extremal solutions, defined through an analytic
continuation of the parameters, upon which we obtain a simple expression for
the on-shell action. A Legendre transform of this action combined with a
reality constraint then leads to the Bekenstein-Hawking entropy for the class
of supersymmetric and extremal black holes.
| [
{
"created": "Thu, 10 Jun 2021 07:48:40 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Nov 2021 16:31:20 GMT",
"version": "v2"
}
] | 2021-11-03 | [
[
"Cassani",
"Davide",
""
],
[
"Gauntlett",
"Jerome P.",
""
],
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
]
] | We study the thermodynamics of $AdS_4$ black hole solutions of Einstein-Maxwell theory that are accelerating, rotating, and carry electric and magnetic charges. We focus on the class for which the black hole horizon is a spindle and can be uplifted on regular Sasaki-Einstein spaces to give solutions of $D=11$ supergravity that are free from conical singularities. We use holography to calculate the Euclidean on-shell action and to define a set of conserved charges which give rise to a first law. We identify a complex locus of supersymmetric and non-extremal solutions, defined through an analytic continuation of the parameters, upon which we obtain a simple expression for the on-shell action. A Legendre transform of this action combined with a reality constraint then leads to the Bekenstein-Hawking entropy for the class of supersymmetric and extremal black holes. |
hep-th/0103083 | Ming-Hsien Tu | Ming-Hsien Tu (National Chung-Cheng Univ., Taiwan) | $W_n^{(\ka)}$ algebra associated with the Moyal KdV Hierarchy | 12 pages, Revtex, v.2: typos corrected and references added | Phys.Lett. B508 (2001) 173-183 | 10.1016/S0370-2693(01)00489-0 | null | hep-th | null | We consider the Gelfand-Dickey (GD) structure defined by the Moyal
$\star$-product with parameter $\ka$, which not only defines the bi-Hamiltonian
structure for the generalized Moyal KdV hierarchy but also provides a
$W_n^{(\ka)}$ algebra containing the Virasoro algebra as a subalgebra with
central charge $\ka^2(n^3-n)/3$.
The free-field realization of the $W_n^{(\ka)}$ algebra is given through the
Miura transformation and the cases for $W_3^{(\ka)}$ and $W_4^{(\ka)}$ are
worked out in detail.
| [
{
"created": "Mon, 12 Mar 2001 14:39:02 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2001 14:57:45 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Tu",
"Ming-Hsien",
"",
"National Chung-Cheng Univ., Taiwan"
]
] | We consider the Gelfand-Dickey (GD) structure defined by the Moyal $\star$-product with parameter $\ka$, which not only defines the bi-Hamiltonian structure for the generalized Moyal KdV hierarchy but also provides a $W_n^{(\ka)}$ algebra containing the Virasoro algebra as a subalgebra with central charge $\ka^2(n^3-n)/3$. The free-field realization of the $W_n^{(\ka)}$ algebra is given through the Miura transformation and the cases for $W_3^{(\ka)}$ and $W_4^{(\ka)}$ are worked out in detail. |
1207.3082 | Dario Martelli | Maxime Gabella, Dario Martelli, Achilleas Passias and James Sparks | N=2 supersymmetric AdS_4 solutions of M-theory | 50 pages, 2 figures; v2: typos fixed, some intermediate formulas
added to improve clarity, references added | Commun.Math.Phys. 325 (2014) 487-525 | 10.1007/s00220-013-1865-0 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse the most general N=2 supersymmetric solutions of D=11 supergravity
consisting of a warped product of four-dimensional anti-de-Sitter space with a
seven-dimensional Riemannian manifold Y_7. We show that the necessary and
sufficient conditions for supersymmetry can be phrased in terms of a local
SU(2)-structure on Y_7. Solutions with non-zero M2-brane charge also admit a
canonical contact structure, in terms of which many physical quantities can be
expressed, including the free energy and the scaling dimensions of operators
dual to supersymmetric wrapped M5-branes. We show that a special class of
solutions is singled out by imposing an additional symmetry, for which the
problem reduces to solving a second order non-linear ODE. As well as recovering
a known class of solutions, that includes the IR fixed point of a mass
deformation of the ABJM theory, we also find new solutions which are dual to
cubic deformations. In particular, we find a new supersymmetric warped AdS_4 x
S^7 solution with non-trivial four-form flux.
| [
{
"created": "Thu, 12 Jul 2012 20:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2012 14:54:36 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Gabella",
"Maxime",
""
],
[
"Martelli",
"Dario",
""
],
[
"Passias",
"Achilleas",
""
],
[
"Sparks",
"James",
""
]
] | We analyse the most general N=2 supersymmetric solutions of D=11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold Y_7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y_7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes. We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ODE. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS_4 x S^7 solution with non-trivial four-form flux. |
1009.1320 | Bert Schellekens | B. Gato-Rivera and A.N. Schellekens | Asymmetric Gepner Models II. Heterotic Weight Lifting | 46 pages, 17 figures | null | 10.1016/j.nuclphysb.2011.01.011 | NIKHEF/2010-30, IFF-FM-2010/02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A systematic study of "lifted" Gepner models is presented. Lifted Gepner
models are obtained from standard Gepner models by replacing one of the N=2
building blocks and the $E_8$ factor by a modular isomorphic $N=0$ model on the
bosonic side of the heterotic string. The main result is that after this change
three family models occur abundantly, in sharp contrast to ordinary Gepner
models. In particular, more than 250 new and unrelated moduli spaces of three
family models are identified. We discuss the occurrence of fractionally charged
particles in these spectra.
| [
{
"created": "Tue, 7 Sep 2010 15:08:44 GMT",
"version": "v1"
}
] | 2015-05-19 | [
[
"Gato-Rivera",
"B.",
""
],
[
"Schellekens",
"A. N.",
""
]
] | A systematic study of "lifted" Gepner models is presented. Lifted Gepner models are obtained from standard Gepner models by replacing one of the N=2 building blocks and the $E_8$ factor by a modular isomorphic $N=0$ model on the bosonic side of the heterotic string. The main result is that after this change three family models occur abundantly, in sharp contrast to ordinary Gepner models. In particular, more than 250 new and unrelated moduli spaces of three family models are identified. We discuss the occurrence of fractionally charged particles in these spectra. |
hep-th/9708149 | Dongsu Bak | Dongsu Bak, Choonkyu Lee and Kimyeong Lee | Dynamics of BPS Dyons: Effective Field Theory Approach | 48 pages, uses revtex | Phys.Rev. D57 (1998) 5239-5259 | 10.1103/PhysRevD.57.5239 | SCU-TP-97-1004, SNUTP-97-107, CU-TP-854 | hep-th | null | Based on a detailed analysis of nonlinear field equations of the SU(2)
Yang-Mills-Higgs system, we obtain the effective field theory describing
low-energy interaction of BPS dyons and massless particles (i.e., photons and
Higgs particles). Our effective theory manifests electromagnetic duality and
spontaneously broken scale symmetry, and reproduces the multimonopole moduli
space dynamics of Manton in a suitable limit. Also given is a generalization of
our approach to the case of BPS dyons in a gauge theory with an arbitrary gauge
group that is maximally broken.
| [
{
"created": "Thu, 28 Aug 1997 09:08:51 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bak",
"Dongsu",
""
],
[
"Lee",
"Choonkyu",
""
],
[
"Lee",
"Kimyeong",
""
]
] | Based on a detailed analysis of nonlinear field equations of the SU(2) Yang-Mills-Higgs system, we obtain the effective field theory describing low-energy interaction of BPS dyons and massless particles (i.e., photons and Higgs particles). Our effective theory manifests electromagnetic duality and spontaneously broken scale symmetry, and reproduces the multimonopole moduli space dynamics of Manton in a suitable limit. Also given is a generalization of our approach to the case of BPS dyons in a gauge theory with an arbitrary gauge group that is maximally broken. |
hep-th/9502139 | Yousuf Musakhanov | B.A.Faizullaev, M.M.Musakhanov, N.K.Pak | ON THE HIGHER-LOOP CONTRIBUTIONS TO THE AXIAL ANOMALY | 8 pages, latex, in the final version of the preprint a reference to
the book of F.A.Berezin is added and some corrections to the text are made | Phys.Lett. B361 (1995) 155-159; Erratum-ibid. B372 (1996) 343 | 10.1016/0370-2693(95)01089-9 | U.of Alberta Thy 05-95 | hep-th | null | The problem of the higher-loop contributions to the axial anomaly is
reexamined by a new method. We demonstrate that these contributions depend on
the order of the calculations. If the divergence of the axial current by
nonperturbative Fujikawa method is calculated first and then average it over
the photon field in the presence of an external photon source, a nonzero
contribution is obtained. However perturbative Feynman diagram method has an
uncertainty. Depending on the order of the calculations above mentioned or zero
results are obtained.
| [
{
"created": "Fri, 24 Feb 1995 18:47:21 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Apr 1995 21:33:47 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Apr 1995 23:03:15 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Faizullaev",
"B. A.",
""
],
[
"Musakhanov",
"M. M.",
""
],
[
"Pak",
"N. K.",
""
]
] | The problem of the higher-loop contributions to the axial anomaly is reexamined by a new method. We demonstrate that these contributions depend on the order of the calculations. If the divergence of the axial current by nonperturbative Fujikawa method is calculated first and then average it over the photon field in the presence of an external photon source, a nonzero contribution is obtained. However perturbative Feynman diagram method has an uncertainty. Depending on the order of the calculations above mentioned or zero results are obtained. |
0807.1478 | Ahmad Ghodsi | Mohammad R. Garousi, Ahmad Ghodsi, Mehran Khosravi | On thermodynamics of N=6 superconformal Chern-Simons theories at strong
coupling | 17 pages; v4: Section 4.1 modified | JHEP 0808:067,2008 | 10.1088/1126-6708/2008/08/067 | IPM/P-2008/042 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently it has been conjectured that N=6, U(N)_{k} \times U(N)_{-k}
Chern-Simons theory is dual to M-theory on AdS_4\times S^7/Z_{k}. By studying
one-loop correction to the M-theory effective action, we calculate the
correction to the entropy of thermal field theory at strong coupling. For large
k level, we have also found the alpha' correction to the entropy from the
string correction of the type IIA effective action. The structure of these two
corrections at strong t'Hooft coupling are different.
| [
{
"created": "Wed, 9 Jul 2008 15:53:37 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2008 16:05:51 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Jul 2008 07:56:10 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Aug 2008 09:58:02 GMT",
"version": "v4"
}
] | 2011-08-04 | [
[
"Garousi",
"Mohammad R.",
""
],
[
"Ghodsi",
"Ahmad",
""
],
[
"Khosravi",
"Mehran",
""
]
] | Recently it has been conjectured that N=6, U(N)_{k} \times U(N)_{-k} Chern-Simons theory is dual to M-theory on AdS_4\times S^7/Z_{k}. By studying one-loop correction to the M-theory effective action, we calculate the correction to the entropy of thermal field theory at strong coupling. For large k level, we have also found the alpha' correction to the entropy from the string correction of the type IIA effective action. The structure of these two corrections at strong t'Hooft coupling are different. |
hep-th/0512211 | Jessica Barrett | Jessica K. Barrett and Peter Bowcock | Using D-Strings to Describe Monopole Scattering - Numerical Calculations | 30 pages, 15 figures | null | null | null | hep-th | null | We calculate the energy radiated during the scattering of two D-strings
stretched between two D3-branes, working from the Born-Infeld action for the
D-strings. The ends of the D-strings are magnetic monopoles from the point of
view of the gauge theory living on the D3-branes, and so the scattering we
describe is equivalent to monopole scattering. Our results suggest that no
energy is radiated during the scattering, in contrast to the monopole result of
ref. [2].
| [
{
"created": "Fri, 16 Dec 2005 21:31:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Barrett",
"Jessica K.",
""
],
[
"Bowcock",
"Peter",
""
]
] | We calculate the energy radiated during the scattering of two D-strings stretched between two D3-branes, working from the Born-Infeld action for the D-strings. The ends of the D-strings are magnetic monopoles from the point of view of the gauge theory living on the D3-branes, and so the scattering we describe is equivalent to monopole scattering. Our results suggest that no energy is radiated during the scattering, in contrast to the monopole result of ref. [2]. |
hep-th/9701184 | Emanuele Manfredini | Emanuele Manfredini | Finite Size Scaling and Running Coupling Constant in CP(N-1) models | 17 pages in REVTex + 6 figures, to be published in International
Journal of Modern Physics A | Int.J.Mod.Phys.A13:887-902,1998 | 10.1142/S0217751X98000391 | IFUP-TH 59/96 | hep-th | null | In this work I present a numerical study of the Finite Size Scaling (FSS) of
a correlation length in the framework of the $CP ^{N-1}$ model by means of the
1/N expansion. This study has been thought as propedeutical to the application
of FSS to the measure on the lattice of a new coupling constant $f_{x}(1/R)$,
defined in terms or rectangular Wilson Loops. I give also a perturbative
expansion of $f_{x}(1/R)$ in powers of the corresponding coupling constant in
the $\overline{MS}$ scheme together with some preliminary numerical results
obtained from the Polyakov ratio and I point out the conceptual problems that
limit this approach.
| [
{
"created": "Thu, 30 Jan 1997 17:17:17 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Manfredini",
"Emanuele",
""
]
] | In this work I present a numerical study of the Finite Size Scaling (FSS) of a correlation length in the framework of the $CP ^{N-1}$ model by means of the 1/N expansion. This study has been thought as propedeutical to the application of FSS to the measure on the lattice of a new coupling constant $f_{x}(1/R)$, defined in terms or rectangular Wilson Loops. I give also a perturbative expansion of $f_{x}(1/R)$ in powers of the corresponding coupling constant in the $\overline{MS}$ scheme together with some preliminary numerical results obtained from the Polyakov ratio and I point out the conceptual problems that limit this approach. |
2408.00729 | Daniel Schubring | Daniel Schubring | Free energy from forward scattering in 1+1d | 41 pages, 8 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The free energy, or equivalently the ground state energy in finite volume,
may be calculated from forward scattering amplitudes using a formula due to
Dashen, Ma, and Bernstein. However a naive treatment leads to singularities
when considering the scattering of three or more particles. It is shown in
detail how the approach can be applied to multi-particle scattering in various
massive scalar theories in 1+1d, with or without integrability. The results for
the sinh-Gordon, Lieb-Liniger, and $O(N)$ non-linear sigma models are compared
to exact results. It is shown how bound states can be considered in this
approach by considering the attractive Lieb-Liniger model.
| [
{
"created": "Thu, 1 Aug 2024 17:20:48 GMT",
"version": "v1"
}
] | 2024-08-02 | [
[
"Schubring",
"Daniel",
""
]
] | The free energy, or equivalently the ground state energy in finite volume, may be calculated from forward scattering amplitudes using a formula due to Dashen, Ma, and Bernstein. However a naive treatment leads to singularities when considering the scattering of three or more particles. It is shown in detail how the approach can be applied to multi-particle scattering in various massive scalar theories in 1+1d, with or without integrability. The results for the sinh-Gordon, Lieb-Liniger, and $O(N)$ non-linear sigma models are compared to exact results. It is shown how bound states can be considered in this approach by considering the attractive Lieb-Liniger model. |
hep-th/9908133 | Dmitri Galtsov | Chiang-Mei Chen, Dmitri V. Gal'tsov and Sergei A. Sharakin | Vacuum Interpretation for Supergravity M-Branes | 4 pages, latex, no figures | Phys.Lett. B475 (2000) 269-274 | 10.1016/S0370-2693(00)00102-7 | DTP-MSU/99-21 | hep-th | null | A non-local classical duality between the three-block truncated 11D
supergravity and the 8D vacuum gravity with two commuting Killing symmetries is
established. The supergravity four-form field is generated via an inverse
dualisation of the corresponding Killing two-forms in six dimensions. 11D
supersymmetry condition is shown to be equivalent to existence of covariantly
constant spinors in eight dimensions. Thus any solution to the vacuum Einstein
equations in eight dimensions depending on six coordinates and admitting
Killing spinors have supersymmetric 11D-supergravity counterparts. Using this
duality we derive some new brane solutions to 11D-supergravity including 1/4
supersymmetric intersecting M-branes with a NUT parameter and a dyon solution
joining the M2 and M5-branes intersecting at a point.
| [
{
"created": "Thu, 19 Aug 1999 18:02:04 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Chen",
"Chiang-Mei",
""
],
[
"Gal'tsov",
"Dmitri V.",
""
],
[
"Sharakin",
"Sergei A.",
""
]
] | A non-local classical duality between the three-block truncated 11D supergravity and the 8D vacuum gravity with two commuting Killing symmetries is established. The supergravity four-form field is generated via an inverse dualisation of the corresponding Killing two-forms in six dimensions. 11D supersymmetry condition is shown to be equivalent to existence of covariantly constant spinors in eight dimensions. Thus any solution to the vacuum Einstein equations in eight dimensions depending on six coordinates and admitting Killing spinors have supersymmetric 11D-supergravity counterparts. Using this duality we derive some new brane solutions to 11D-supergravity including 1/4 supersymmetric intersecting M-branes with a NUT parameter and a dyon solution joining the M2 and M5-branes intersecting at a point. |
1512.06434 | I\~naki Garc\'ia-Etxebarria | I\~naki Garc\'ia-Etxebarria and Diego Regalado | N=3 four dimensional field theories | 22 pages, 2 figures. v2: fixed orientifold charges, added references,
v3: added references | null | 10.1007/JHEP03(2016)083 | MPP-2015-307 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a class of four dimensional field theories constructed by
quotienting ordinary $\mathcal{N}=4$ $U(N)$ SYM by particular combinations of
R-symmetry and $SL(2,\mathbb{Z})$ automorphisms. These theories appear
naturally on the worldvolume of D3 branes probing terminal singularities in
F-theory, where they can be thought of as non-perturbative generalizations of
the O3 plane. We focus on cases preserving only 12 supercharges, where the
quotient gives rise to theories with coupling fixed at a value of order one.
These constructions possess an unconventional large $N$ limit described by a
non-trivial F-theory fibration with base $AdS_5\times (S^5/\mathbb{Z}_k)$. Upon
reduction on a circle the $\mathcal{N}=3$ theories flow to well-known
$\mathcal{N}=6$ ABJM theories.
| [
{
"created": "Sun, 20 Dec 2015 21:00:30 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Feb 2016 21:41:08 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Mar 2017 11:36:22 GMT",
"version": "v3"
}
] | 2017-03-29 | [
[
"García-Etxebarria",
"Iñaki",
""
],
[
"Regalado",
"Diego",
""
]
] | We introduce a class of four dimensional field theories constructed by quotienting ordinary $\mathcal{N}=4$ $U(N)$ SYM by particular combinations of R-symmetry and $SL(2,\mathbb{Z})$ automorphisms. These theories appear naturally on the worldvolume of D3 branes probing terminal singularities in F-theory, where they can be thought of as non-perturbative generalizations of the O3 plane. We focus on cases preserving only 12 supercharges, where the quotient gives rise to theories with coupling fixed at a value of order one. These constructions possess an unconventional large $N$ limit described by a non-trivial F-theory fibration with base $AdS_5\times (S^5/\mathbb{Z}_k)$. Upon reduction on a circle the $\mathcal{N}=3$ theories flow to well-known $\mathcal{N}=6$ ABJM theories. |
hep-th/9702007 | Matt Visser | C. E. Carlson (Coll. William-Mary), C. Molina-Paris (Los Alamos), J.
Perez-Mercader (LAEFF, Madrid), and Matt Visser (Washington University) | Casimir effect in dielectrics: Bulk Energy Contribution | 20 pages in double-column format; uses ReV_TeX 3.0; 8 encapsulated
postscript figures; uses epsf.sty | Phys.Rev. D56 (1997) 1262-1280 | 10.1103/PhysRevD.56.1262 | null | hep-th | null | In a recent series of papers, Schwinger discussed a process that he called
the Dynamical Casimir Effect. The key essence of this effect is the change in
zero-point energy associated with any change in a dielectric medium. (In
particular, if the change in the dielectric medium is taken to be the growth or
collapse of a bubble, this effect may have relevance to sonoluminescence.) The
kernel of Schwinger's result is that the change in Casimir energy is
proportional to the change in volume of the dielectric, plus finite-volume
corrections. Other papers have called into question this result, claiming that
the volume term should actually be discarded, and that the dominant term
remaining is proportional to the surface area of the dielectric. In this
communication, which is an expansion of an earlier letter on the same topic, we
present a careful and critical review of the relevant analyses. We find that
the Casimir energy, defined as the change in zero-point energy due to a change
in the medium, has at leading order a bulk volume dependence. This is in full
agreement with Schwinger's result, once the correct physical question is asked.
We have nothing new to say about sonoluminescence itself.
| [
{
"created": "Fri, 31 Jan 1997 23:14:07 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Carlson",
"C. E.",
"",
"Coll. William-Mary"
],
[
"Molina-Paris",
"C.",
"",
"Los Alamos"
],
[
"Perez-Mercader",
"J.",
"",
"LAEFF, Madrid"
],
[
"Visser",
"Matt",
"",
"Washington University"
]
] | In a recent series of papers, Schwinger discussed a process that he called the Dynamical Casimir Effect. The key essence of this effect is the change in zero-point energy associated with any change in a dielectric medium. (In particular, if the change in the dielectric medium is taken to be the growth or collapse of a bubble, this effect may have relevance to sonoluminescence.) The kernel of Schwinger's result is that the change in Casimir energy is proportional to the change in volume of the dielectric, plus finite-volume corrections. Other papers have called into question this result, claiming that the volume term should actually be discarded, and that the dominant term remaining is proportional to the surface area of the dielectric. In this communication, which is an expansion of an earlier letter on the same topic, we present a careful and critical review of the relevant analyses. We find that the Casimir energy, defined as the change in zero-point energy due to a change in the medium, has at leading order a bulk volume dependence. This is in full agreement with Schwinger's result, once the correct physical question is asked. We have nothing new to say about sonoluminescence itself. |
hep-th/9304139 | Aaron Keith Grant | Aaron K. Grant and Jonathan L. Rosner | Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy | 16 pages, latex, EFI 93/20 | J.Math.Phys. 35 (1994) 2142-2156 | 10.1063/1.530543 | null | hep-th hep-ph | null | The connection between supersymmetric quantum mechanics and the Korteweg- de
Vries (KdV) equation is discussed, with particular emphasis on the KdV
conservation laws. It is shown that supersymmetric quantum mechanics aids in
the derivation of the conservation laws, and gives some insight into the Miura
transformation that converts the KdV equation into the modified KdV equation.
The construction of the $\tau$-function by means of supersymmetric quantum
mechanics is discussed.
| [
{
"created": "Tue, 27 Apr 1993 21:14:02 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Grant",
"Aaron K.",
""
],
[
"Rosner",
"Jonathan L.",
""
]
] | The connection between supersymmetric quantum mechanics and the Korteweg- de Vries (KdV) equation is discussed, with particular emphasis on the KdV conservation laws. It is shown that supersymmetric quantum mechanics aids in the derivation of the conservation laws, and gives some insight into the Miura transformation that converts the KdV equation into the modified KdV equation. The construction of the $\tau$-function by means of supersymmetric quantum mechanics is discussed. |
hep-th/0401127 | Anton Rebhan | A. Rebhan, P. van Nieuwenhuizen, R. Wimmer | The Casimir effect for susy solitons | 8 pages, based on a talk given by P.v.N. at the 6th Workshop on
Quantum Field Theory under the Influence of External Conditions (QFEXT03),
Norman, Oklahoma, USA, 2003/09/15-19 | null | null | ITP-UH-01/04, TUW-04-01, YITP-SB-04-01 | hep-th | null | We discuss new insights into the quantum physics of solitons developed since
1997: why quantum corrections to the mass M and the central charge Z of
solitons in supersymmetric (susy) field theories in 1+1 and 2+1 dimensions are
nonvanishing, despite the fact that the zero-point energies of bosons and
fermions seem to cancel each other, and the central charge is an integral of a
total space derivative which naively seems to get contributions only from
regions far removed from the soliton. Crucial are: (1) the requirement that the
regularization scheme not only makes calculations finite, but it also should
preserve (ordinary) supersymmetry, (2) the renormalization condition that
tadpoles vanish in the trivial vacuum, (3) an anomaly in the central charge
which is actually needed to saturate the Bogomolnyi bound, (4) the influence of
the winding of classical fields on the quantum fields far away from the
soliton.
| [
{
"created": "Mon, 19 Jan 2004 18:52:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rebhan",
"A.",
""
],
[
"van Nieuwenhuizen",
"P.",
""
],
[
"Wimmer",
"R.",
""
]
] | We discuss new insights into the quantum physics of solitons developed since 1997: why quantum corrections to the mass M and the central charge Z of solitons in supersymmetric (susy) field theories in 1+1 and 2+1 dimensions are nonvanishing, despite the fact that the zero-point energies of bosons and fermions seem to cancel each other, and the central charge is an integral of a total space derivative which naively seems to get contributions only from regions far removed from the soliton. Crucial are: (1) the requirement that the regularization scheme not only makes calculations finite, but it also should preserve (ordinary) supersymmetry, (2) the renormalization condition that tadpoles vanish in the trivial vacuum, (3) an anomaly in the central charge which is actually needed to saturate the Bogomolnyi bound, (4) the influence of the winding of classical fields on the quantum fields far away from the soliton. |
0807.1095 | Gregory Korchemsky | J. M. Drummond, J. Henn, G. P. Korchemsky, E. Sokatchev | Dual superconformal symmetry of scattering amplitudes in N=4
super-Yang-Mills theory | 58 pages | Nucl.Phys.B828:317-374,2010 | 10.1016/j.nuclphysb.2009.11.022 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that the scattering amplitudes in the maximally supersymmetric N=4
super-Yang-Mills theory possess a new symmetry which extends the previously
discovered dual conformal symmetry. To reveal this property we formulate the
scattering amplitudes as functions in the appropriate dual superspace.
Rewritten in this form, all tree-level MHV and next-to-MHV amplitudes exhibit
manifest dual superconformal symmetry. We propose a new, compact and Lorentz
covariant formula for the tree-level NMHV amplitudes for arbitrary numbers and
types of external particles. The dual conformal symmetry is broken at loop
level by infrared divergences. However, we provide evidence that the anomalous
contribution to the MHV and NMHV superamplitudes is the same and, therefore,
their ratio is a dual conformal invariant function. We identify this function
by an explicit calculation of the six-particle amplitudes at one loop. We
conjecture that these properties hold for all, MHV and non-MHV, superamplitudes
in N=4 SYM both at weak and at strong coupling.
| [
{
"created": "Mon, 7 Jul 2008 19:49:09 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 2008 21:32:40 GMT",
"version": "v2"
}
] | 2009-12-22 | [
[
"Drummond",
"J. M.",
""
],
[
"Henn",
"J.",
""
],
[
"Korchemsky",
"G. P.",
""
],
[
"Sokatchev",
"E.",
""
]
] | We argue that the scattering amplitudes in the maximally supersymmetric N=4 super-Yang-Mills theory possess a new symmetry which extends the previously discovered dual conformal symmetry. To reveal this property we formulate the scattering amplitudes as functions in the appropriate dual superspace. Rewritten in this form, all tree-level MHV and next-to-MHV amplitudes exhibit manifest dual superconformal symmetry. We propose a new, compact and Lorentz covariant formula for the tree-level NMHV amplitudes for arbitrary numbers and types of external particles. The dual conformal symmetry is broken at loop level by infrared divergences. However, we provide evidence that the anomalous contribution to the MHV and NMHV superamplitudes is the same and, therefore, their ratio is a dual conformal invariant function. We identify this function by an explicit calculation of the six-particle amplitudes at one loop. We conjecture that these properties hold for all, MHV and non-MHV, superamplitudes in N=4 SYM both at weak and at strong coupling. |
2312.17154 | M. B. Paranjape | M. B. Paranjape and Yash Saxena | Thin-Wall Monopoles in a False Vacuum | 8 pages, 13 figures | null | null | UdeM-GPP-TH-23-300 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study numerically the existence in a false vacuum, of magnetic monopoles
which are ``thin-walled'', \ie, which correspond to a spherical region of
radius $R$ that is essentially trivial surrounded by a wall of thickness
$\Delta\ll R$, hence the name thin wall, and finally an exterior region that
essentially corresponds to a pure Abelian magnetic monopole. Such monopoles
were dubbed false monopoles and can occur in non-abelian gauge theories where
the symmetry-broken vacuum is actually the false vacuum. This idea was first
proposed in \cite{Kumar:2010mv}, however, {the proof of the existence of
thin-wall, false monopoles given there }was incorrect. Here we fill this lacuna
and demonstrate numerically{, for an appropriately modifed potential,} the
existence of thin-wall false monopoles. The decay via quantum tunnelling of the
false monopoles could be of importance to cosmological scenarios which
entertain epochs in which the universe is trapped in a symmetry broken false
vacuum.
| [
{
"created": "Thu, 28 Dec 2023 17:35:25 GMT",
"version": "v1"
},
{
"created": "Wed, 22 May 2024 03:17:32 GMT",
"version": "v2"
}
] | 2024-05-24 | [
[
"Paranjape",
"M. B.",
""
],
[
"Saxena",
"Yash",
""
]
] | We study numerically the existence in a false vacuum, of magnetic monopoles which are ``thin-walled'', \ie, which correspond to a spherical region of radius $R$ that is essentially trivial surrounded by a wall of thickness $\Delta\ll R$, hence the name thin wall, and finally an exterior region that essentially corresponds to a pure Abelian magnetic monopole. Such monopoles were dubbed false monopoles and can occur in non-abelian gauge theories where the symmetry-broken vacuum is actually the false vacuum. This idea was first proposed in \cite{Kumar:2010mv}, however, {the proof of the existence of thin-wall, false monopoles given there }was incorrect. Here we fill this lacuna and demonstrate numerically{, for an appropriately modifed potential,} the existence of thin-wall false monopoles. The decay via quantum tunnelling of the false monopoles could be of importance to cosmological scenarios which entertain epochs in which the universe is trapped in a symmetry broken false vacuum. |
1712.10298 | Kurosh Javidan | Azam Ghaani, Kurosh Javidan | Magnetohydrodynamic equations for cold quark gluon plasmas: Multi
fluidity and Solitary wave stability | 25 pages, 4 figures, 1 table | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By means of magnetohydrodynamic equations in a non relativistic multi fluid
framework, we study the behavior of small amplitude perturbations in cold Quark
Gluon Plasmas (QGP). Magnetohydrodynamic equations, along with the QGP equation
of state are expanded using the reductive perturbation method. It is shown that
such a medium should be considered as multi fluid magnetohydrodynamic (MHD)
system. The result is a nonlinear wave equation which complies with a modified
form of the "derivative nonlinear Schrodinger" equation instead of the KdV
equation. We show that the complete set of equations, by considering the
magnetic field which is supported by the Maxwell's equations, create stable
solitary waves. An interesting result is the existence of an electric field
component along the direction of magnetic field which causes charge
separability in the medium. Properties of this solitonic solution is studied by
considering different values for the QGP characters such as background mass
density and strength of the magnetic field (at the scale of compact stars).
| [
{
"created": "Fri, 29 Dec 2017 18:10:19 GMT",
"version": "v1"
}
] | 2018-01-01 | [
[
"Ghaani",
"Azam",
""
],
[
"Javidan",
"Kurosh",
""
]
] | By means of magnetohydrodynamic equations in a non relativistic multi fluid framework, we study the behavior of small amplitude perturbations in cold Quark Gluon Plasmas (QGP). Magnetohydrodynamic equations, along with the QGP equation of state are expanded using the reductive perturbation method. It is shown that such a medium should be considered as multi fluid magnetohydrodynamic (MHD) system. The result is a nonlinear wave equation which complies with a modified form of the "derivative nonlinear Schrodinger" equation instead of the KdV equation. We show that the complete set of equations, by considering the magnetic field which is supported by the Maxwell's equations, create stable solitary waves. An interesting result is the existence of an electric field component along the direction of magnetic field which causes charge separability in the medium. Properties of this solitonic solution is studied by considering different values for the QGP characters such as background mass density and strength of the magnetic field (at the scale of compact stars). |
hep-th/9808081 | Jorma Louko | Jorma Louko and Donald Marolf | Single-exterior black holes and the AdS-CFT conjecture | 27 pages, LaTeX, using REVTeX v3.1 with amsfonts and epsf, with two
eps figures. (v3: references updated) | Phys. Rev. D 59, 066002 (1999) | 10.1103/PhysRevD.59.066002 | SU-GP-98/8-1 | hep-th gr-qc | null | In the context of the conjectured AdS-CFT correspondence of string theory, we
consider a class of asymptotically Anti-de Sitter black holes whose conformal
boundary consists of a single connected component, identical to the conformal
boundary of Anti-de Sitter space. In a simplified model of the boundary theory,
we find that the boundary state to which the black hole corresponds is pure,
but this state involves correlations that produce thermal expectation values at
the usual Hawking temperature for suitably restricted classes of operators. The
energy of the state is finite and agrees in the semiclassical limit with the
black hole mass. We discuss the relationship between the black hole topology
and the correlations in the boundary state, and speculate on generalizations of
the results beyond the simplified model theory.
| [
{
"created": "Thu, 13 Aug 1998 20:13:03 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Aug 1998 13:35:45 GMT",
"version": "v2"
},
{
"created": "Sat, 13 Feb 1999 14:03:52 GMT",
"version": "v3"
}
] | 2016-08-25 | [
[
"Louko",
"Jorma",
""
],
[
"Marolf",
"Donald",
""
]
] | In the context of the conjectured AdS-CFT correspondence of string theory, we consider a class of asymptotically Anti-de Sitter black holes whose conformal boundary consists of a single connected component, identical to the conformal boundary of Anti-de Sitter space. In a simplified model of the boundary theory, we find that the boundary state to which the black hole corresponds is pure, but this state involves correlations that produce thermal expectation values at the usual Hawking temperature for suitably restricted classes of operators. The energy of the state is finite and agrees in the semiclassical limit with the black hole mass. We discuss the relationship between the black hole topology and the correlations in the boundary state, and speculate on generalizations of the results beyond the simplified model theory. |
1401.3546 | Samuel Abreu | Samuel Abreu, Ruth Britto, Claude Duhr, Einan Gardi | From multiple unitarity cuts to the coproduct of Feynman integrals | v2: improved presentation of main relations in Sec. 3, symbol
alphabet defined and determined from cuts, reconstruction extended beyond
symbol level, references added. 83 pages | null | 10.1007/JHEP10(2014)125 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop techniques for computing and analyzing multiple unitarity cuts of
Feynman integrals, and reconstructing the integral from these cuts. We study
the relations among unitarity cuts of a Feynman integral computed via
diagrammatic cutting rules, the discontinuity across the corresponding branch
cut, and the coproduct of the integral. For single unitarity cuts, these
relations are familiar. Here we show that they can be generalized to sequences
of unitarity cuts in different channels. Using concrete one- and two-loop
scalar integral examples we demonstrate that it is possible to reconstruct a
Feynman integral from either single or double unitarity cuts. Our results offer
insight into the analytic structure of Feynman integrals as well as a new
approach to computing them.
| [
{
"created": "Wed, 15 Jan 2014 11:11:06 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 2014 15:45:28 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Abreu",
"Samuel",
""
],
[
"Britto",
"Ruth",
""
],
[
"Duhr",
"Claude",
""
],
[
"Gardi",
"Einan",
""
]
] | We develop techniques for computing and analyzing multiple unitarity cuts of Feynman integrals, and reconstructing the integral from these cuts. We study the relations among unitarity cuts of a Feynman integral computed via diagrammatic cutting rules, the discontinuity across the corresponding branch cut, and the coproduct of the integral. For single unitarity cuts, these relations are familiar. Here we show that they can be generalized to sequences of unitarity cuts in different channels. Using concrete one- and two-loop scalar integral examples we demonstrate that it is possible to reconstruct a Feynman integral from either single or double unitarity cuts. Our results offer insight into the analytic structure of Feynman integrals as well as a new approach to computing them. |
hep-th/0006095 | Juan Fernando Ospina Giraldo | Juan Fernando Ospina Giraldo | Gravitational Couplings for Gop-Planes and y-Op-Planes | 12 pages on Latex | null | null | null | hep-th | null | The Wess-Zumino actions for generalized orientifold planes (GOp-planes) and
y-deformed orientifold planes (yOp-planes) are presented and two series power
expantions are realized from whiches processes that involves
GOp-planes,yOp-planes, RR-forms, gravitons and gaugeons, are obtained. Finally
non-standard GOp-planes and y-Op-planes are showed.
| [
{
"created": "Tue, 13 Jun 2000 23:30:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Giraldo",
"Juan Fernando Ospina",
""
]
] | The Wess-Zumino actions for generalized orientifold planes (GOp-planes) and y-deformed orientifold planes (yOp-planes) are presented and two series power expantions are realized from whiches processes that involves GOp-planes,yOp-planes, RR-forms, gravitons and gaugeons, are obtained. Finally non-standard GOp-planes and y-Op-planes are showed. |
hep-th/0612258 | Alexandre Filippov | V.de Alfaro (Univ. of Turin), A.T.Filippov (JINR, Dubna) | Dimensional Reduction of Gravity and Relation between Static States,
Cosmologies and Waves | 28 pages, Appendix and some new material in Sections 2 and Section 4
has been added, misprints corrected and some editing has been done | Theor.Math.Phys.153:1709-1731,2007 | 10.1007/s11232-007-0142-9 | null | hep-th | null | We introduce generalized dimensional reductions of an integrable
1+1-dimensional dilaton gravity coupled to matter down to one-dimensional
static states (black holes in particular), cosmological models and waves. An
unusual feature of these reductions is the fact that the wave solutions depend
on two variables - space and time. They are obtained here both by reducing the
moduli space (available due to complete integrability) and by a generalized
separation of variables (applicable also to non integrable models and to higher
dimensional theories). Among these new wave-like solutions we have found a
class of solutions for which the matter fields are finite everywhere in
space-time, including infinity.
These considerations clearly demonstrate that a deep connection exists
between static states, cosmologies and waves. We argue that it should exist in
realistic higher-dimensional theories as well. Among other things we also
briefly outline the relations existing betweenthe low-dimensional models that
we have discussed hereand the realistic higher-dimensional ones.
This paper develops further some ideas already present in our previous
papers. We briefly reproduce here (without proof) their main results in a more
concise form and give an important generalization.
| [
{
"created": "Wed, 27 Dec 2006 19:52:22 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jan 2007 17:58:34 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"de Alfaro",
"V.",
"",
"Univ. of Turin"
],
[
"Filippov",
"A. T.",
"",
"JINR, Dubna"
]
] | We introduce generalized dimensional reductions of an integrable 1+1-dimensional dilaton gravity coupled to matter down to one-dimensional static states (black holes in particular), cosmological models and waves. An unusual feature of these reductions is the fact that the wave solutions depend on two variables - space and time. They are obtained here both by reducing the moduli space (available due to complete integrability) and by a generalized separation of variables (applicable also to non integrable models and to higher dimensional theories). Among these new wave-like solutions we have found a class of solutions for which the matter fields are finite everywhere in space-time, including infinity. These considerations clearly demonstrate that a deep connection exists between static states, cosmologies and waves. We argue that it should exist in realistic higher-dimensional theories as well. Among other things we also briefly outline the relations existing betweenthe low-dimensional models that we have discussed hereand the realistic higher-dimensional ones. This paper develops further some ideas already present in our previous papers. We briefly reproduce here (without proof) their main results in a more concise form and give an important generalization. |
hep-th/9503230 | Hagen Kleinert | H. Kleinert, J. Neu, V. Schulte-Frohlinde (Freie Universit"at Berlin),
K.G. Chetyrkin, and S.A. Larin (Institute for Nuclear Research, Moscow) | Five-loop renormalization group functions of ${O}(n)$-symmetric
$\phi^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$ | LaTeX file. For related work see the www address
http://www.physik.fu-berlin.de/kleiner_re.html on our www homepage
http://www.physik.fu-berlin.de/kleinert.html | Phys.Lett. B272 (1991) 39-44; Erratum-ibid. B319 (1993) 545 | 10.1016/0370-2693(93)91768-I | null | hep-th | null | Motivated by the discovery of errors in six of the 135 diagrams in the
published five-loop expansions of the $\beta$-function and the anomalous
dimensions of the ${O}(n)$-symmetric $\phi^4$-theory in $D=4-\ep$ dimensions we
present the results of a full analytic reevaluation of all diagrams. The
divergences are removed by minimal subtraction and $\ep$-expansions are given
for the critical exponents $\eta$, $\nu$, and $\omega$ up to order
$\epsilon^5$.
| [
{
"created": "Sat, 1 Apr 1995 10:46:26 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kleinert",
"H.",
"",
"Freie Universit\"at Berlin"
],
[
"Neu",
"J.",
"",
"Freie Universit\"at Berlin"
],
[
"Schulte-Frohlinde",
"V.",
"",
"Freie Universit\"at Berlin"
],
[
"Chetyrkin",
"K. G.",
"",
"Institute for Nuclear Research, Moscow"... | Motivated by the discovery of errors in six of the 135 diagrams in the published five-loop expansions of the $\beta$-function and the anomalous dimensions of the ${O}(n)$-symmetric $\phi^4$-theory in $D=4-\ep$ dimensions we present the results of a full analytic reevaluation of all diagrams. The divergences are removed by minimal subtraction and $\ep$-expansions are given for the critical exponents $\eta$, $\nu$, and $\omega$ up to order $\epsilon^5$. |
2309.01703 | Tancredi Schettini Gherardini | T. Schettini Gherardini | Exotic Spheres' Metrics and Solutions via Kaluza-Klein Techniques | 27 pages. v2: published version (JHEP), minor corrections | J. High Energ. Phys. 2023, 100 (2023) | 10.1007/JHEP12(2023)100 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By applying an inverse Kaluza-Klein procedure, we provide explicit coordinate
expressions for Riemannian metrics on two homeomorphic but not diffeomorphic
spheres in seven dimensions. We identify Milnor's bundles, among which ten out
of the fourteen exotic seven-spheres appear (ignoring orientation), with
non-principal bundles having homogeneous fibres. Then, we use the techniques in
\cite{10.1063/1.525753} to obtain a general ansatz for the coordinate
expression of a metric on the total space of any Milnor's bundle. The ansatz is
given in terms of a metric on $S^4$, a metric on $S^3$ (which can smoothly vary
throughout $S^4$), and a connection on the principal $SO(4)$-bundle over $S^4$.
As a concrete example, we present explicit formulae for such metrics for the
ordinary sphere and the Gromoll-Meyer exotic sphere. Then, we perform a
non-abelian Kaluza-Klein reduction to gravity in seven dimensions, according to
(a slightly simplified version of) the metric ansatz above. We obtain the
standard four-dimensional Einstein-Yang-Mills system, for which we find
solutions associated with the geometries of the ordinary sphere and of the
exotic one. The two differ by the winding numbers of the instantons involved.
| [
{
"created": "Mon, 4 Sep 2023 16:25:07 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jan 2024 19:00:00 GMT",
"version": "v2"
}
] | 2024-01-18 | [
[
"Gherardini",
"T. Schettini",
""
]
] | By applying an inverse Kaluza-Klein procedure, we provide explicit coordinate expressions for Riemannian metrics on two homeomorphic but not diffeomorphic spheres in seven dimensions. We identify Milnor's bundles, among which ten out of the fourteen exotic seven-spheres appear (ignoring orientation), with non-principal bundles having homogeneous fibres. Then, we use the techniques in \cite{10.1063/1.525753} to obtain a general ansatz for the coordinate expression of a metric on the total space of any Milnor's bundle. The ansatz is given in terms of a metric on $S^4$, a metric on $S^3$ (which can smoothly vary throughout $S^4$), and a connection on the principal $SO(4)$-bundle over $S^4$. As a concrete example, we present explicit formulae for such metrics for the ordinary sphere and the Gromoll-Meyer exotic sphere. Then, we perform a non-abelian Kaluza-Klein reduction to gravity in seven dimensions, according to (a slightly simplified version of) the metric ansatz above. We obtain the standard four-dimensional Einstein-Yang-Mills system, for which we find solutions associated with the geometries of the ordinary sphere and of the exotic one. The two differ by the winding numbers of the instantons involved. |
2401.09809 | Kota Takeuchi | Kota Takeuchi, Tomohiro Inagaki | New classification method for Equivalence Classes on $S^1/Z_2$ and
$T^2/Z_3$ Orbifolds | 22 pages, 2 figures | null | 10.1093/ptep/ptae027 | HUPD-2401 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In five- and six-dimensional $U(N)$ and $SU(N)$ gauge theories compactified
on $S^1/Z_2$ and $T^2/Z_3$ orbifolds, we propose a new method to classify the
equivalence classes (ECs) of boundary conditions (BCs) wihtout depending on the
structure of gauge transformations. Some of the BCs are connected through gauge
transformations and constitute ECs, each of which contains physically
equivalent BCs. Previous methods for classifying ECs have been used specific
gauge transformations. In this paper, we show that a geometric property of
orbifolds significantly narrows down the possibilities of connecting BCs and
completes the classification of ECs.
| [
{
"created": "Thu, 18 Jan 2024 08:58:36 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Feb 2024 06:31:06 GMT",
"version": "v2"
}
] | 2024-02-26 | [
[
"Takeuchi",
"Kota",
""
],
[
"Inagaki",
"Tomohiro",
""
]
] | In five- and six-dimensional $U(N)$ and $SU(N)$ gauge theories compactified on $S^1/Z_2$ and $T^2/Z_3$ orbifolds, we propose a new method to classify the equivalence classes (ECs) of boundary conditions (BCs) wihtout depending on the structure of gauge transformations. Some of the BCs are connected through gauge transformations and constitute ECs, each of which contains physically equivalent BCs. Previous methods for classifying ECs have been used specific gauge transformations. In this paper, we show that a geometric property of orbifolds significantly narrows down the possibilities of connecting BCs and completes the classification of ECs. |
hep-th/0608209 | Amos Yarom | Ofer Aharony, Alex Buchel and Amos Yarom | Short distance properties of cascading gauge theories | 47 pages, no figures | JHEP 0611:069,2006 | 10.1088/1126-6708/2006/11/069 | WIS/11/06-AUG-DPP, UWO-TH/06/12 | hep-th | null | We study the short distance (large momentum) properties of correlation
functions of cascading gauge theories by performing a tree-level computation in
their dual gravitational background. We prove that these theories are
holographically renormalizable; the correlators have only analytic ultraviolet
divergences, which may be removed by appropriate local counterterms. We find
that n-point correlation functions of properly normalized operators have the
expected scaling in the semi-classical gravity (large N) limit: they scale as
N_{eff}^{2-n} with N_{eff} proportional to ln(k/Lambda) where k is a typical
momentum. Our analysis thus confirms the interpretation of the cascading gauge
theories as renormalizable four-dimensional quantum field theories with an
effective number of degrees of freedom which logarithmically increases with the
energy.
| [
{
"created": "Tue, 29 Aug 2006 18:39:05 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Aharony",
"Ofer",
""
],
[
"Buchel",
"Alex",
""
],
[
"Yarom",
"Amos",
""
]
] | We study the short distance (large momentum) properties of correlation functions of cascading gauge theories by performing a tree-level computation in their dual gravitational background. We prove that these theories are holographically renormalizable; the correlators have only analytic ultraviolet divergences, which may be removed by appropriate local counterterms. We find that n-point correlation functions of properly normalized operators have the expected scaling in the semi-classical gravity (large N) limit: they scale as N_{eff}^{2-n} with N_{eff} proportional to ln(k/Lambda) where k is a typical momentum. Our analysis thus confirms the interpretation of the cascading gauge theories as renormalizable four-dimensional quantum field theories with an effective number of degrees of freedom which logarithmically increases with the energy. |
0904.1716 | Alex Buchel | Alex Buchel and Chris Pagnutti | Exotic Hairy Black Holes | 14 pages, 4 figures; v2: NPB version | Nucl.Phys.B824:85-94,2010 | 10.1016/j.nuclphysb.2009.08.017 | UWO-TH-09/7 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study black hole solutions in asymptotically AdS_4 spacetime with scalar
hair. Following AdS/CFT dictionary these black holes can be interpreted as
thermal states of 2+1 dimensional conformal gauge theory plasma, deformed by a
relevant operator. We discover a rich phase structure of the solutions.
Surprisingly, we find thermodynamically stable phases with spontaneously broken
global symmetries that exist only at high temperatures. These phases are
metastable, and join the stable symmetric phase via a mean-field second-order
phase transition.
| [
{
"created": "Fri, 10 Apr 2009 17:05:57 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jan 2011 19:00:24 GMT",
"version": "v2"
}
] | 2011-01-27 | [
[
"Buchel",
"Alex",
""
],
[
"Pagnutti",
"Chris",
""
]
] | We study black hole solutions in asymptotically AdS_4 spacetime with scalar hair. Following AdS/CFT dictionary these black holes can be interpreted as thermal states of 2+1 dimensional conformal gauge theory plasma, deformed by a relevant operator. We discover a rich phase structure of the solutions. Surprisingly, we find thermodynamically stable phases with spontaneously broken global symmetries that exist only at high temperatures. These phases are metastable, and join the stable symmetric phase via a mean-field second-order phase transition. |
2305.04437 | Benjamin T. S{\o}gaard | Ross Dempsey, Igor R. Klebanov, Silviu S. Pufu, Benjamin T.
S{\o}gaard, and Bernardo Zan | Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature | 7 pages, 3 figures; v2 minor improvements, refs added; v3 further
minor improvements | Phys. Rev. Lett. 132, 031603 (2024) | 10.1103/PhysRevLett.132.031603 | PUPT-2640 | hep-th hep-lat quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the phase structure of the two-flavor Schwinger model as a
function of the $\theta$-angle and the two masses, $m_1$ and $m_2$. In
particular, we find interesting effects at $\theta=\pi$: along the
$SU(2)$-invariant line $m_1 = m_2 = m$, in the regime where $m$ is much smaller
than the charge $g$, the theory undergoes logarithmic RG flow of the
Berezinskii-Kosterlitz-Thouless type. As a result, in this regime there is a
non-perturbatively small mass gap $\sim e^{- A g^2/m^2}$. The $SU(2)$-invariant
line lies within a region of the phase diagram where the charge conjugation
symmetry is spontaneously broken and whose boundaries we determine numerically.
Our numerical results are obtained using the Hamiltonian lattice gauge
formulation that includes the mass shift $m_\text{lat} = m- g^2 a/4$ dictated
by the discrete chiral symmetry.
| [
{
"created": "Mon, 8 May 2023 03:17:48 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jun 2023 15:47:52 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Dec 2023 22:05:14 GMT",
"version": "v3"
}
] | 2024-03-22 | [
[
"Dempsey",
"Ross",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Søgaard",
"Benjamin T.",
""
],
[
"Zan",
"Bernardo",
""
]
] | We examine the phase structure of the two-flavor Schwinger model as a function of the $\theta$-angle and the two masses, $m_1$ and $m_2$. In particular, we find interesting effects at $\theta=\pi$: along the $SU(2)$-invariant line $m_1 = m_2 = m$, in the regime where $m$ is much smaller than the charge $g$, the theory undergoes logarithmic RG flow of the Berezinskii-Kosterlitz-Thouless type. As a result, in this regime there is a non-perturbatively small mass gap $\sim e^{- A g^2/m^2}$. The $SU(2)$-invariant line lies within a region of the phase diagram where the charge conjugation symmetry is spontaneously broken and whose boundaries we determine numerically. Our numerical results are obtained using the Hamiltonian lattice gauge formulation that includes the mass shift $m_\text{lat} = m- g^2 a/4$ dictated by the discrete chiral symmetry. |
2202.11437 | Fabio Dogliotti | Aldo Deandrea, Fabio Dogliotti and Dimitrios Tsimpis | Dirac operator spectrum on a nilmanifold | 14 pages | null | 10.1016/j.nuclphysb.2022.115895 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the spectrum of the Dirac operator on the three-dimensional
Heisenberg nilmanifold $\mathcal{M}_3$, and its complete dependence on the
metric moduli. As an application, we construct the four-dimensional low-energy
effective action obtained by compactification of a seven-dimensional
gauge-fermion theory on $\mathcal{M}_3$.
| [
{
"created": "Wed, 23 Feb 2022 11:33:54 GMT",
"version": "v1"
}
] | 2022-07-20 | [
[
"Deandrea",
"Aldo",
""
],
[
"Dogliotti",
"Fabio",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] | We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold $\mathcal{M}_3$, and its complete dependence on the metric moduli. As an application, we construct the four-dimensional low-energy effective action obtained by compactification of a seven-dimensional gauge-fermion theory on $\mathcal{M}_3$. |
hep-th/0101128 | Luiz Alberto Manzoni Vieira Junior | Luiz A. Manzoni and Walter F. Wreszinski | A Theory of the Casimir Effect for Compact Regions | version published, 23 pages | Eur.Phys.J.C25:315-325,2002 | 10.1007/s10052-002-0969-z | null | hep-th | null | We develop a mathematically precise framework for the Casimir effect. Our
working hypothesis, verified in the case of parallel plates, is that only the
regularization-independent Ramanujan sum of a given asymptotic series
contributes to the Casimir pressure. As an illustration, we treat two cases:
parallel plates, identifying a previous cutoff free version (by G. Scharf and
W. W.) as a special case, and the sphere.We finally discuss the open problem of
the Casimir force for the cube. We propose an Ansatz for the exterior force and
argue why it may provide the exact solution, as well as an explanation of the
repulsive sign of the force.
| [
{
"created": "Fri, 19 Jan 2001 13:39:51 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Mar 2001 19:32:17 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Apr 2001 18:30:34 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Oct 2002 19:56:41 GMT",
"version": "v4"
}
] | 2011-09-13 | [
[
"Manzoni",
"Luiz A.",
""
],
[
"Wreszinski",
"Walter F.",
""
]
] | We develop a mathematically precise framework for the Casimir effect. Our working hypothesis, verified in the case of parallel plates, is that only the regularization-independent Ramanujan sum of a given asymptotic series contributes to the Casimir pressure. As an illustration, we treat two cases: parallel plates, identifying a previous cutoff free version (by G. Scharf and W. W.) as a special case, and the sphere.We finally discuss the open problem of the Casimir force for the cube. We propose an Ansatz for the exterior force and argue why it may provide the exact solution, as well as an explanation of the repulsive sign of the force. |
1611.10327 | Gilbert Moultaka | Gilbert Moultaka, Michel Rausch de Traubenberg, Damien Tant | Low Energy Supergravity Revisited (I) | 44 pages, details shortened in section 4.C and in appendices A,B,
improved discussion in sections 1 - 2.B: references added, typos corrected,
main addition: discussion of the hard breaking terms and their magnitudes in
section 4.B and in a new section 4.D, results unchanged | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | General forms of the K\"ahler and superpotenials that lead to consistent low
energy broken Supersymmetry originating from $N=1$ Supergravity have been
classified and used for model building since more than three decades. We point
out the incompleteness of this classification when hidden sector vacuum
expectation values are of the order of the Planck mass. Focusing in this paper
mainly on the case of minimal K\"ahler potential, we adopt a rigorous approach
that retrieves on the one hand the known forms, and demonstrate on the other
hand the existence of a whole set of new forms for the superpotential of which
we give a complete classification. The latter forms involve a new type of
chiral superfields having the unusual property of belonging neither to the
hidden sector nor to the conventional observable sector. Comparing the obtained
forms with the conventional ones, we argue how new possibilities for model
building can arise, and discuss the gravity mediation of soft as well as
additional hard (but parametrically small) Supersymmetry breaking, in the
presence of the new type of chiral superfields. In the simplest case, we study
the vacuum structure, characterize the masses and couplings of the scalar
components to the hidden and observable sectors and discuss briefly the
physical role they could play. In the generic case, we estimate the magnitude
and possible consequences of the hard breaking of Supersymmetry in terms of the
interplay between hidden and visible sectors mass scales.
| [
{
"created": "Wed, 30 Nov 2016 19:34:58 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Nov 2018 19:07:01 GMT",
"version": "v2"
}
] | 2018-11-27 | [
[
"Moultaka",
"Gilbert",
""
],
[
"de Traubenberg",
"Michel Rausch",
""
],
[
"Tant",
"Damien",
""
]
] | General forms of the K\"ahler and superpotenials that lead to consistent low energy broken Supersymmetry originating from $N=1$ Supergravity have been classified and used for model building since more than three decades. We point out the incompleteness of this classification when hidden sector vacuum expectation values are of the order of the Planck mass. Focusing in this paper mainly on the case of minimal K\"ahler potential, we adopt a rigorous approach that retrieves on the one hand the known forms, and demonstrate on the other hand the existence of a whole set of new forms for the superpotential of which we give a complete classification. The latter forms involve a new type of chiral superfields having the unusual property of belonging neither to the hidden sector nor to the conventional observable sector. Comparing the obtained forms with the conventional ones, we argue how new possibilities for model building can arise, and discuss the gravity mediation of soft as well as additional hard (but parametrically small) Supersymmetry breaking, in the presence of the new type of chiral superfields. In the simplest case, we study the vacuum structure, characterize the masses and couplings of the scalar components to the hidden and observable sectors and discuss briefly the physical role they could play. In the generic case, we estimate the magnitude and possible consequences of the hard breaking of Supersymmetry in terms of the interplay between hidden and visible sectors mass scales. |
hep-th/0205096 | Emilian Dudas | C. Angelantonj, E. Dudas and J. Mourad | Orientifolds of String Theory Melvin backgrounds | 34 pages, LaTeX | Nucl.Phys. B637 (2002) 59-91 | 10.1016/S0550-3213(02)00463-7 | CERN-TH/2002-091, CPHT RR 003.0202, LPT-ORSAY 02-37, LPTM 02-55 | hep-th | null | We study the dynamics of type I strings on Melvin backgrounds, with a single
or multiple twisted two-planes. We construct two inequivalent types of
orientifold models that correspond to (non-compact) irrational versions of
Scherk-Schwarz type breaking of supersymmetry. In the first class of vacua,
D-branes and O-planes are no longer localized in space-time but are smeared
along the compact Melvin coordinate with a characteristic profile. On the other
hand, the second class of orientifolds involves O-planes and D-branes that are
both rotated by an angle proportional to the twist. In case of ``multiple
Melvin spaces'', some amount of supersymmetry is recovered if the planes are
twisted appropriately and part of the original O-planes are transmuted into new
ones. The corresponding boundary and crosscap states are determined.
| [
{
"created": "Fri, 10 May 2002 10:44:22 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Angelantonj",
"C.",
""
],
[
"Dudas",
"E.",
""
],
[
"Mourad",
"J.",
""
]
] | We study the dynamics of type I strings on Melvin backgrounds, with a single or multiple twisted two-planes. We construct two inequivalent types of orientifold models that correspond to (non-compact) irrational versions of Scherk-Schwarz type breaking of supersymmetry. In the first class of vacua, D-branes and O-planes are no longer localized in space-time but are smeared along the compact Melvin coordinate with a characteristic profile. On the other hand, the second class of orientifolds involves O-planes and D-branes that are both rotated by an angle proportional to the twist. In case of ``multiple Melvin spaces'', some amount of supersymmetry is recovered if the planes are twisted appropriately and part of the original O-planes are transmuted into new ones. The corresponding boundary and crosscap states are determined. |
1504.00482 | Sarang Zeynizadeh | Sarang Zeynizadeh, Amin Rezaei Akbarieh | Higgs Inflation and General Initial Conditions | 13 pages, 2 figures | null | 10.1140/epjc/s10052-015-3525-3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Higgs field of particle physics can play the role of the inflaton in the
early universe, if it is non-minimally coupled to gravity. The Higgs inflation
scenario predicts a small tensor to scalar ratio: $r\simeq 0.003$. Although
this value is consistent with the upper bound $r < 0.12$ given by BICEP2/Keck
Array and Planck data, but it is not at their maximum likelihood point:
$r\simeq 0.05$. Inflationary observables depend not only on the inflationary
models, but also depend on the initial conditions of inflation. Changing
initial state of inflation can improve the value of $r$. In this work, we study
the Higgs inflation model under general initial conditions and show that there
is a subset of these general initial conditions which leads to enhancement of
$r$. Then we show that this region of parameter space is consistent with
non-Gaussianity bound.
| [
{
"created": "Thu, 2 Apr 2015 09:14:04 GMT",
"version": "v1"
}
] | 2015-09-02 | [
[
"Zeynizadeh",
"Sarang",
""
],
[
"Akbarieh",
"Amin Rezaei",
""
]
] | Higgs field of particle physics can play the role of the inflaton in the early universe, if it is non-minimally coupled to gravity. The Higgs inflation scenario predicts a small tensor to scalar ratio: $r\simeq 0.003$. Although this value is consistent with the upper bound $r < 0.12$ given by BICEP2/Keck Array and Planck data, but it is not at their maximum likelihood point: $r\simeq 0.05$. Inflationary observables depend not only on the inflationary models, but also depend on the initial conditions of inflation. Changing initial state of inflation can improve the value of $r$. In this work, we study the Higgs inflation model under general initial conditions and show that there is a subset of these general initial conditions which leads to enhancement of $r$. Then we show that this region of parameter space is consistent with non-Gaussianity bound. |
2309.00043 | David Prieto | Rafael Carrasco, Thibaut Coudarchet, Fernando Marchesano and David
Prieto | New families of scale separated vacua | 33 pages + appendices, 4 figures; v3: minor corrections | null | null | IFT-UAM/CSIC-23-101 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Massive type IIA flux compactifications of the form AdS$_4 \times X_6$, where
$X_6$ admits a Calabi-Yau metric and O6-planes wrapping three-cycles, display
families of vacua with parametric scale separation between the compactification
scale and the AdS$_4$ radius, generated by an overall rescaling of internal
four-form fluxes. For toroidal orbifolds one can perform two T-dualities and
map this background to an orientifold of massless type IIA compactified on an
SU(3)-structure manifold with fluxes. Via a 4d EFT analysis, we generalise this
last construction and embed it into new branches of supersymmetric and
non-supersymmetric vacua with similar features. We apply our results to propose
new infinite families of vacua based on elliptic fibrations with metric fluxes.
Parametric scale separation is achieved by an asymmetric flux rescaling which,
however, in general is not a simple symmetry of the 4d equations of motion. At
this level of approximation the vacua are stable but, unlike in the Calabi-Yau
case, they display a non-universal mass spectrum of light fields.
| [
{
"created": "Thu, 31 Aug 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Nov 2023 11:00:35 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Feb 2024 14:38:51 GMT",
"version": "v3"
}
] | 2024-02-02 | [
[
"Carrasco",
"Rafael",
""
],
[
"Coudarchet",
"Thibaut",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Prieto",
"David",
""
]
] | Massive type IIA flux compactifications of the form AdS$_4 \times X_6$, where $X_6$ admits a Calabi-Yau metric and O6-planes wrapping three-cycles, display families of vacua with parametric scale separation between the compactification scale and the AdS$_4$ radius, generated by an overall rescaling of internal four-form fluxes. For toroidal orbifolds one can perform two T-dualities and map this background to an orientifold of massless type IIA compactified on an SU(3)-structure manifold with fluxes. Via a 4d EFT analysis, we generalise this last construction and embed it into new branches of supersymmetric and non-supersymmetric vacua with similar features. We apply our results to propose new infinite families of vacua based on elliptic fibrations with metric fluxes. Parametric scale separation is achieved by an asymmetric flux rescaling which, however, in general is not a simple symmetry of the 4d equations of motion. At this level of approximation the vacua are stable but, unlike in the Calabi-Yau case, they display a non-universal mass spectrum of light fields. |
hep-th/0012082 | Ysmyung | Y. S. Myung (Inje Univ) | Mass generation with Gauss-Bonnet term : No van Dam-Veltman-Zakharov
discontinuity in AdS space | 5 pages, comments and references added | null | null | INJE-TP-00-08 | hep-th | null | We prove that in anti de Sitter space, there is no van Dam-Veltman-Zakharov
discontinuity in the graviton propagator. Here we obtain the mass term of
$M^2\propto \Lambda^2$ from the Gauss-Bonnet term, which is a ghost-free one.
The condition that the massless limit is smooth is automatically satisfied for
this case.
| [
{
"created": "Sat, 9 Dec 2000 04:35:19 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Dec 2000 03:58:34 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Myung",
"Y. S.",
"",
"Inje Univ"
]
] | We prove that in anti de Sitter space, there is no van Dam-Veltman-Zakharov discontinuity in the graviton propagator. Here we obtain the mass term of $M^2\propto \Lambda^2$ from the Gauss-Bonnet term, which is a ghost-free one. The condition that the massless limit is smooth is automatically satisfied for this case. |
0909.3845 | Andy O'Bannon | Martin Ammon, Johanna Erdmenger, Rene Meyer, Andy O'Bannon, Timm Wrase | Adding Flavor to AdS4/CFT3 | 60 pages, 1 figure; v2: minor corrections, added two references,
version published in JHEP | JHEP 0911:125,2009 | 10.1088/1126-6708/2009/11/125 | MPP-2009-52, ITP-UH-17/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Aharony, Bergman, Jafferis, and Maldacena have proposed that the low-energy
description of multiple M2-branes at a C4/Zk singularity is a (2+1)-dimensional
N=6 supersymmetric U(Nc) x U(Nc) Chern-Simons matter theory, the ABJM theory.
In the large-Nc limit, its holographic dual is supergravity in AdS4 x S7/Zk. We
study various ways to add fields that transform in the fundamental
representation of the gauge groups, i.e. flavor fields, to the ABJM theory. We
work in a probe limit and perform analyses in both the supergravity and field
theory descriptions. In the supergravity description we find a large class of
supersymmetric embeddings of probe flavor branes. In the field theory
description, we present a general method to determine the couplings of the
flavor fields to the fields of the ABJM theory. We then study four examples in
detail: codimension-zero N=3 supersymmetric flavor, described in supergravity
by Kaluza-Klein monopoles or D6-branes; codimension-one N=(0,6) supersymmetric
chiral flavor, described by D8-branes; codimension-one N=(3,3) supersymmetric
non-chiral flavor, described by M5/D4-branes; codimension-two N=4
supersymmetric flavor, described by M2/D2-branes. Finally we discuss special
physical equivalences between brane embeddings in M-theory, and their
interpretation in the field theory description.
| [
{
"created": "Mon, 21 Sep 2009 20:00:09 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2009 17:20:45 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"Ammon",
"Martin",
""
],
[
"Erdmenger",
"Johanna",
""
],
[
"Meyer",
"Rene",
""
],
[
"O'Bannon",
"Andy",
""
],
[
"Wrase",
"Timm",
""
]
] | Aharony, Bergman, Jafferis, and Maldacena have proposed that the low-energy description of multiple M2-branes at a C4/Zk singularity is a (2+1)-dimensional N=6 supersymmetric U(Nc) x U(Nc) Chern-Simons matter theory, the ABJM theory. In the large-Nc limit, its holographic dual is supergravity in AdS4 x S7/Zk. We study various ways to add fields that transform in the fundamental representation of the gauge groups, i.e. flavor fields, to the ABJM theory. We work in a probe limit and perform analyses in both the supergravity and field theory descriptions. In the supergravity description we find a large class of supersymmetric embeddings of probe flavor branes. In the field theory description, we present a general method to determine the couplings of the flavor fields to the fields of the ABJM theory. We then study four examples in detail: codimension-zero N=3 supersymmetric flavor, described in supergravity by Kaluza-Klein monopoles or D6-branes; codimension-one N=(0,6) supersymmetric chiral flavor, described by D8-branes; codimension-one N=(3,3) supersymmetric non-chiral flavor, described by M5/D4-branes; codimension-two N=4 supersymmetric flavor, described by M2/D2-branes. Finally we discuss special physical equivalences between brane embeddings in M-theory, and their interpretation in the field theory description. |
0904.2234 | Anton Zeitlin | Anton M. Zeitlin | Beta-gamma systems and the deformations of the BRST operator | LaTeX2e, 15 pages; minor revision, typos corrected, Journal of
Physics A, in press | J.Phys.A42:355401,2009 | 10.1088/1751-8113/42/35/355401 | null | hep-th gr-qc math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the relation between simple logarithmic CFTs associated with
closed and open strings, and their "infinite metric" limits, corresponding to
the beta-gamma systems. This relation is studied on the level of the BRST
complex: we show that the consideration of metric as a perturbation leads to a
certain deformation of the algebraic operations of the Lian-Zuckerman type on
the vertex algebra, associated with the beta-gamma systems. The Maurer-Cartan
equations corresponding to this deformed structure in the quasiclassical
approximation lead to the nonlinear field equations. As an explicit example, we
demonstrate, that using this construction, Yang-Mills equations can be derived.
This gives rise to a nontrivial relation between the Courant-Dorfman algebroid
and homotopy algebras emerging from the gauge theory. We also discuss possible
algebraic approach to the study of beta-functions in sigma-models.
| [
{
"created": "Wed, 15 Apr 2009 12:32:58 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jul 2009 17:55:55 GMT",
"version": "v2"
}
] | 2009-08-17 | [
[
"Zeitlin",
"Anton M.",
""
]
] | We describe the relation between simple logarithmic CFTs associated with closed and open strings, and their "infinite metric" limits, corresponding to the beta-gamma systems. This relation is studied on the level of the BRST complex: we show that the consideration of metric as a perturbation leads to a certain deformation of the algebraic operations of the Lian-Zuckerman type on the vertex algebra, associated with the beta-gamma systems. The Maurer-Cartan equations corresponding to this deformed structure in the quasiclassical approximation lead to the nonlinear field equations. As an explicit example, we demonstrate, that using this construction, Yang-Mills equations can be derived. This gives rise to a nontrivial relation between the Courant-Dorfman algebroid and homotopy algebras emerging from the gauge theory. We also discuss possible algebraic approach to the study of beta-functions in sigma-models. |
2301.07035 | Luigi Guerrini | Luigi Guerrini | On protected defect correlators in 3d $\mathcal{N}\ge4$ theories | 25 pages, 2 figures, references and comments added, typos corrected | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study and compute supersymmetric observables for line defects in 3d
$\mathcal{N}\ge4$ theories. Our setup is a novel supersymmetric configuration
involving line operators and local operators living on a linked circle. The
algebra of the local operators is described by a topological quantum mechanics.
For operators belonging to conserved current multiplets, we propose an exact
formula for their correlation functions based on a Ward identity for integrated
correlators. Our formula gives a general recipe to compute the bremsstrahlung
function for any $\frac{1}{3}$-BPS lines in $\mathcal{N}=6$ SCFTs. We apply our
relation to the $\frac{1}{2}$-BPS Wilson loop in the ABJM model, showing the
validity of previous computations. Furthermore, our construction allows us to
explore higher points correlators. As an example, we compute the two-point
function of the stress tensor multiplet correlators in ABJM theory in the
presence of the Wilson line. We also present some perturbative checks of our
formulae.
| [
{
"created": "Tue, 17 Jan 2023 17:34:06 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Mar 2023 14:52:09 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Oct 2023 10:27:05 GMT",
"version": "v3"
}
] | 2023-10-19 | [
[
"Guerrini",
"Luigi",
""
]
] | We study and compute supersymmetric observables for line defects in 3d $\mathcal{N}\ge4$ theories. Our setup is a novel supersymmetric configuration involving line operators and local operators living on a linked circle. The algebra of the local operators is described by a topological quantum mechanics. For operators belonging to conserved current multiplets, we propose an exact formula for their correlation functions based on a Ward identity for integrated correlators. Our formula gives a general recipe to compute the bremsstrahlung function for any $\frac{1}{3}$-BPS lines in $\mathcal{N}=6$ SCFTs. We apply our relation to the $\frac{1}{2}$-BPS Wilson loop in the ABJM model, showing the validity of previous computations. Furthermore, our construction allows us to explore higher points correlators. As an example, we compute the two-point function of the stress tensor multiplet correlators in ABJM theory in the presence of the Wilson line. We also present some perturbative checks of our formulae. |
1106.4548 | Rakibur Rahman | Arshad Momen, Rakibur Rahman | Spacetime Dimensionality from de Sitter Entropy | 5 pages; published in the proceedings of International Conference on
Quantum Field Theory and Gravity (QFTG 2014), C14-07-28.4 | TSPU Bulletin 12 (2014) 186-191 | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that de Sitter universes with a small cosmological constant are
entropically favored to have three spatial dimensions. The conclusion relies on
the causal-patch description of de Sitter space, where fiducial observers
experience local thermal equilibrium up to a stretched horizon, on the
holographic principle, and on some assumptions about the nature of gravity and
the constituents of Hawking/Unruh radiation.
| [
{
"created": "Wed, 22 Jun 2011 20:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Dec 2014 12:45:54 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Feb 2018 14:37:09 GMT",
"version": "v3"
}
] | 2018-02-14 | [
[
"Momen",
"Arshad",
""
],
[
"Rahman",
"Rakibur",
""
]
] | We argue that de Sitter universes with a small cosmological constant are entropically favored to have three spatial dimensions. The conclusion relies on the causal-patch description of de Sitter space, where fiducial observers experience local thermal equilibrium up to a stretched horizon, on the holographic principle, and on some assumptions about the nature of gravity and the constituents of Hawking/Unruh radiation. |
0808.1282 | Pietro Antonio Grassi | Riccardo D'Auria, Pietro Fre', Pietro Antonio Grassi, and Mario
Trigiante | Superstrings on AdS_4 x CP^3 from Supergravity | 32 pages, Latex, no figures | Phys.Rev.D79:086001,2009 | 10.1103/PhysRevD.79.086001 | DISTA-2008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive from a general formulation of pure spinor string theory on type IIA
backgrounds the specific form of the action for the AdS_4 x P^3 background. We
provide a complete geometrical characterization of the structure of the
superfields involved in the action.
| [
{
"created": "Fri, 8 Aug 2008 19:56:31 GMT",
"version": "v1"
}
] | 2011-09-21 | [
[
"D'Auria",
"Riccardo",
""
],
[
"Fre'",
"Pietro",
""
],
[
"Grassi",
"Pietro Antonio",
""
],
[
"Trigiante",
"Mario",
""
]
] | We derive from a general formulation of pure spinor string theory on type IIA backgrounds the specific form of the action for the AdS_4 x P^3 background. We provide a complete geometrical characterization of the structure of the superfields involved in the action. |
hep-th/9706120 | Andrei A. Bytsenko | A.A. Bytsenko (St.Petersburg State Technical University) and F.L.
Williams (University of Massachusetts at Amherst) | Product Einstein Manifolds, Zeta-Function Regularization and the
Multiplicative Anomaly | 14 pages, LaTeX | J.Math.Phys. 39 (1998) 1075-1086 | 10.1063/1.532371 | null | hep-th | null | The global additive and multiplicative properties of Laplace type operators
acting on irreducible rank 1 symmetric spaces are considered. The explicit form
of the zeta function on product spaces and of the multiplicative anomaly is
derived.
| [
{
"created": "Mon, 16 Jun 1997 14:05:11 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bytsenko",
"A. A.",
"",
"St.Petersburg State Technical University"
],
[
"Williams",
"F. L.",
"",
"University of Massachusetts at Amherst"
]
] | The global additive and multiplicative properties of Laplace type operators acting on irreducible rank 1 symmetric spaces are considered. The explicit form of the zeta function on product spaces and of the multiplicative anomaly is derived. |
2103.12717 | Clement Delcamp | Alex Bullivant, Clement Delcamp | Crossing with the circle in Dijkgraaf-Witten theory and applications to
topological phases of matter | null | null | 10.1063/5.0061214 | null | hep-th cond-mat.str-el math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given a fully extended topological quantum field theory, the 'crossing with
the circle' conditions establish that the dimension, or categorification
thereof, of the quantum invariant assigned to a closed $k$-manifold $\Sigma$ is
equivalent to that assigned to the ($k$+1)-manifold $\Sigma \times \mathbb
S^1$. We compute in this manuscript these conditions for the 4-3-2-1
Dijkgraaf-Witten theory. In the context of the lattice Hamiltonian realisation
of the theory, the quantum invariants assigned to the circle and the torus
encode the defect open string-like and bulk loop-like excitations,
respectively. The corresponding 'crossing with the circle' condition thus
formalises the process by which loop-like excitations are formed out of
string-like ones. Exploiting this result, we revisit the statement that
loop-like excitations define representations of the linear necklace group as
well as the loop braid group.
| [
{
"created": "Tue, 23 Mar 2021 17:37:24 GMT",
"version": "v1"
}
] | 2022-08-24 | [
[
"Bullivant",
"Alex",
""
],
[
"Delcamp",
"Clement",
""
]
] | Given a fully extended topological quantum field theory, the 'crossing with the circle' conditions establish that the dimension, or categorification thereof, of the quantum invariant assigned to a closed $k$-manifold $\Sigma$ is equivalent to that assigned to the ($k$+1)-manifold $\Sigma \times \mathbb S^1$. We compute in this manuscript these conditions for the 4-3-2-1 Dijkgraaf-Witten theory. In the context of the lattice Hamiltonian realisation of the theory, the quantum invariants assigned to the circle and the torus encode the defect open string-like and bulk loop-like excitations, respectively. The corresponding 'crossing with the circle' condition thus formalises the process by which loop-like excitations are formed out of string-like ones. Exploiting this result, we revisit the statement that loop-like excitations define representations of the linear necklace group as well as the loop braid group. |
1610.05806 | Lucas Sourrouille Mr. | Juan Sebasti\'an Ardenghi, Alfredo Juan, Federico Escudero and Lucas
Sourrouille | Analytic solution for Gauged Dirac-Weyl equation in $(2+1)$-dimensions | 12 pages, 1 figure | EPL, 118 (2017) 21001 | 10.1209/0295-5075/118/21001 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A gauged Dirac-Weyl equation in (2+1)-dimension is considered. This equation
has the particularity to describe the states of a graphene Dirac matter. In
particular we are interested in matter interacting with a Chern-Simons gauge
fields. We show that exact self-dual solutions are admitted. These solutions
are the same as those supported by nonrelativistic matter interacting with a
Chern-Simons gauge field.
| [
{
"created": "Tue, 18 Oct 2016 21:31:11 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 2017 13:58:58 GMT",
"version": "v2"
}
] | 2017-07-12 | [
[
"Ardenghi",
"Juan Sebastián",
""
],
[
"Juan",
"Alfredo",
""
],
[
"Escudero",
"Federico",
""
],
[
"Sourrouille",
"Lucas",
""
]
] | A gauged Dirac-Weyl equation in (2+1)-dimension is considered. This equation has the particularity to describe the states of a graphene Dirac matter. In particular we are interested in matter interacting with a Chern-Simons gauge fields. We show that exact self-dual solutions are admitted. These solutions are the same as those supported by nonrelativistic matter interacting with a Chern-Simons gauge field. |
0811.2740 | Francis Dolan | F.A. Dolan | On Superconformal Characters and Partition Functions in Three Dimensions | 54 pages; uses harvmac; v.2. Table 1 and s. 4 reorganised to take
more account of conserved current multiplets, conclusion rewritten slightly
differently, typos corrected, references added; v.3. typos corrected,
reference improved | J.Math.Phys.51:022301,2010 | 10.1063/1.3211091 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Possible short and semi-short positive energy, unitary representations of the
Osp(2N|4) superconformal group in three dimensions are discussed. Corresponding
character formulae are obtained, consistent with character formulae for the
SO(3,2) conformal group, revealing long multiplet decomposition at unitarity
bounds in a simple way. Limits, corresponding to reduction to various Osp(2N|4)
subalgebras, are taken in the characters that isolate contributions from fewer
states, at a given unitarity threshold, leading to considerably simpler
formulae. Via these limits, applied to partition functions, closed formulae for
the generating functions for numbers of BPS operators in the free field limit
of superconformal U(n)\times U(n) \N=6 Chern Simons theory and its supergravity
dual are obtained in the large n limit. Partial counting of semi-short
operators is performed and consistency between operator counting for the free
field and supergravity limits with long multiplet decomposition rules is
explicitly demonstrated. Partition functions counting certain protected scalar
primary semi-short operators, and their superconformal descendants, are
proposed and computed for large n. Certain chiral ring partition functions are
discussed from a combinatorial perspective.
| [
{
"created": "Mon, 17 Nov 2008 20:14:33 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Nov 2008 20:46:57 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Dec 2008 20:40:24 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Dolan",
"F. A.",
""
]
] | Possible short and semi-short positive energy, unitary representations of the Osp(2N|4) superconformal group in three dimensions are discussed. Corresponding character formulae are obtained, consistent with character formulae for the SO(3,2) conformal group, revealing long multiplet decomposition at unitarity bounds in a simple way. Limits, corresponding to reduction to various Osp(2N|4) subalgebras, are taken in the characters that isolate contributions from fewer states, at a given unitarity threshold, leading to considerably simpler formulae. Via these limits, applied to partition functions, closed formulae for the generating functions for numbers of BPS operators in the free field limit of superconformal U(n)\times U(n) \N=6 Chern Simons theory and its supergravity dual are obtained in the large n limit. Partial counting of semi-short operators is performed and consistency between operator counting for the free field and supergravity limits with long multiplet decomposition rules is explicitly demonstrated. Partition functions counting certain protected scalar primary semi-short operators, and their superconformal descendants, are proposed and computed for large n. Certain chiral ring partition functions are discussed from a combinatorial perspective. |
0910.2756 | Daniele Colosi | Daniele Colosi | S-matrix in de Sitter spacetime from general boundary quantum field
theory | 4 pages, LaTeX + revtex4 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new quantization scheme for a massive scalar field in de Sitter spacetime
is proposed, based on the general boundary formulation of quantum field theory.
We show that the general interacting theory can be consistently described in
terms of the S-matrix for spatial asymptotic states. The new S-matrix results
to be equivalent to the standard one in situations where both apply. This is
due to the existence of an isomorphism between the corresponding asymptotic
state spaces.
| [
{
"created": "Thu, 15 Oct 2009 00:55:50 GMT",
"version": "v1"
}
] | 2009-10-16 | [
[
"Colosi",
"Daniele",
""
]
] | A new quantization scheme for a massive scalar field in de Sitter spacetime is proposed, based on the general boundary formulation of quantum field theory. We show that the general interacting theory can be consistently described in terms of the S-matrix for spatial asymptotic states. The new S-matrix results to be equivalent to the standard one in situations where both apply. This is due to the existence of an isomorphism between the corresponding asymptotic state spaces. |
hep-th/0609061 | Tino Nyawelo S | Tino S. Nyawelo and Stefan Groot Nibbelink | Two Loop Effective Kaehler Potential | 4 pages. To appear in Proceedings of SUSY06, the 14th International
Conference on Supersymmetry and the Unification of Fundamental Interactions,
UC Irvine, California, 12-17 June 2006 | AIP Conf.Proc.903:349-352,2007 | 10.1063/1.2735196 | IC/2006/085, HD-THEP-06-22, SIAS-CMTP-06-6 | hep-th | null | In this talk we study the renormalization of the effective Kaehler potential
at one and two loops for general four dimensional (non--renormalizable) N=1
supersymmetric theories described by arbitrary Kaehler potential,
superpotential and gauge kinetic function. We consider the Wess-Zumino model as
an example.
| [
{
"created": "Fri, 8 Sep 2006 12:31:27 GMT",
"version": "v1"
}
] | 2011-10-11 | [
[
"Nyawelo",
"Tino S.",
""
],
[
"Nibbelink",
"Stefan Groot",
""
]
] | In this talk we study the renormalization of the effective Kaehler potential at one and two loops for general four dimensional (non--renormalizable) N=1 supersymmetric theories described by arbitrary Kaehler potential, superpotential and gauge kinetic function. We consider the Wess-Zumino model as an example. |
0805.0114 | Riccardo Penco | Cristian Armendariz-Picon, Michele Fontanini, Riccardo Penco, Mark
Trodden | Where does Cosmological Perturbation Theory Break Down? | 25 pages, uses FeynMP | Class.Quant.Grav.26:185002,2009 | 10.1088/0264-9381/26/18/185002 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the effective field theory approach to the coupled metric-inflaton
system, in order to investigate the impact of higher dimension operators on the
spectrum of scalar and tensor perturbations in the short-wavelength regime. In
both cases, effective corrections at tree-level become important when the
Hubble parameter is of the order of the Planck mass, or when the physical wave
number of a cosmological perturbation mode approaches the square of the Planck
mass divided by the Hubble constant. Thus, the cut-off length below which
conventional cosmological perturbation theory does not apply is likely to be
much smaller than the Planck length. This has implications for the
observability of "trans-Planckian" effects in the spectrum of primordial
perturbations.
| [
{
"created": "Thu, 1 May 2008 18:10:07 GMT",
"version": "v1"
}
] | 2009-09-28 | [
[
"Armendariz-Picon",
"Cristian",
""
],
[
"Fontanini",
"Michele",
""
],
[
"Penco",
"Riccardo",
""
],
[
"Trodden",
"Mark",
""
]
] | We apply the effective field theory approach to the coupled metric-inflaton system, in order to investigate the impact of higher dimension operators on the spectrum of scalar and tensor perturbations in the short-wavelength regime. In both cases, effective corrections at tree-level become important when the Hubble parameter is of the order of the Planck mass, or when the physical wave number of a cosmological perturbation mode approaches the square of the Planck mass divided by the Hubble constant. Thus, the cut-off length below which conventional cosmological perturbation theory does not apply is likely to be much smaller than the Planck length. This has implications for the observability of "trans-Planckian" effects in the spectrum of primordial perturbations. |
1712.09366 | Stefano Lanza | Fotis Farakos, Stefano Lanza, Luca Martucci, Dmitri Sorokin | Three-forms, Supersymmetry and String Compactifications | 9 pages, Proceedings prepared for the international workshop
"Supersymmetries and Quantum Symmetries SQS 2017", Dubna | null | 10.1134/S1063779618050192 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review a duality procedure that relates standard matter-coupled N=1
supergravity to dual formulations in which auxiliary fields are replaced by
field-strengths of gauge three-forms. As examples, we consider the dualization
of the rigid Polonyi model and of effective field theories associated with Type
IIA string compactifications with fluxes in supergravity.
| [
{
"created": "Tue, 26 Dec 2017 19:00:08 GMT",
"version": "v1"
}
] | 2018-11-14 | [
[
"Farakos",
"Fotis",
""
],
[
"Lanza",
"Stefano",
""
],
[
"Martucci",
"Luca",
""
],
[
"Sorokin",
"Dmitri",
""
]
] | We review a duality procedure that relates standard matter-coupled N=1 supergravity to dual formulations in which auxiliary fields are replaced by field-strengths of gauge three-forms. As examples, we consider the dualization of the rigid Polonyi model and of effective field theories associated with Type IIA string compactifications with fluxes in supergravity. |
1703.05382 | Yuri Makeenko | J. Ambjorn (NBI & IMAPP) and Y. Makeenko (NBI & ITEP) | Stability of the nonperturbative bosonic string vacuum | v2: 6pp, section about vacuum instability/stability added, to appear
in PLB | null | 10.1016/j.physletb.2017.05.021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantization of the bosonic string around the classical, perturbative vacuum
is not consistent for spacetime dimensions 2<d<26. Recently we have showed that
at large d there is another so-called mean field vacuum. Here we extend this
mean field calculation to finite d and show that the corresponding mean field
vacuum is stable under quadratic fluctuations for 2<d<26. We point out the
analogy with the two-dimensional O(N)-symmetric sigma-model, where the
1/N-vacuum is very close to the real vacuum state even for finite N, in
contrast to the perturbative vacuum.
| [
{
"created": "Wed, 15 Mar 2017 20:52:17 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 2017 17:36:37 GMT",
"version": "v2"
}
] | 2017-05-24 | [
[
"Ambjorn",
"J.",
"",
"NBI & IMAPP"
],
[
"Makeenko",
"Y.",
"",
"NBI & ITEP"
]
] | Quantization of the bosonic string around the classical, perturbative vacuum is not consistent for spacetime dimensions 2<d<26. Recently we have showed that at large d there is another so-called mean field vacuum. Here we extend this mean field calculation to finite d and show that the corresponding mean field vacuum is stable under quadratic fluctuations for 2<d<26. We point out the analogy with the two-dimensional O(N)-symmetric sigma-model, where the 1/N-vacuum is very close to the real vacuum state even for finite N, in contrast to the perturbative vacuum. |
1301.1896 | Maciej Dunajski | Maciej Dunajski, Jan Gutowski, Wafic Sabra | Enhanced Euclidean supersymmetry, 11D supergravity and $SU(\infty)$ Toda
equation | 19 pages. The relationship between our solutions, and those found by
Martelli, Passias and Sparks clarified. A discussion of sufficient conditions
for supersymmetry added. Final version, to appear in JHEP | null | null | DAMTP-2013-4; DMUS-MP-13/01 | hep-th gr-qc nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to lift solutions of Euclidean Einstein-Maxwell equations with
non-zero cosmological constant to solutions of eleven-dimensional supergravity
theory with non-zero fluxes. This yields a class of 11D metrics given in terms
of solutions to $SU(\infty)$ Toda equation. We give one example of a regular
solution and analyse its supersymmetry.
We also analyse the integrability conditions of the Killing spinor equations
of N=2 minimal gauged supergravity in four Euclidean dimensions. We obtain
necessary conditions for the existence of additional Killing spinors,
corresponding to enhancement of supersymmetry. If the Weyl tensor is
anti-self-dual then the supersymmetric metrics satisfying these conditions are
given by separable solutions to the $SU(\infty)$ Toda equation. Otherwise they
are ambi-K\"ahler and are conformally equivalent to K\"ahler metrics of Calabi
type or to product metrics on two Riemann surfaces.
| [
{
"created": "Wed, 9 Jan 2013 15:48:07 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Oct 2013 17:21:01 GMT",
"version": "v2"
}
] | 2013-10-07 | [
[
"Dunajski",
"Maciej",
""
],
[
"Gutowski",
"Jan",
""
],
[
"Sabra",
"Wafic",
""
]
] | We show how to lift solutions of Euclidean Einstein-Maxwell equations with non-zero cosmological constant to solutions of eleven-dimensional supergravity theory with non-zero fluxes. This yields a class of 11D metrics given in terms of solutions to $SU(\infty)$ Toda equation. We give one example of a regular solution and analyse its supersymmetry. We also analyse the integrability conditions of the Killing spinor equations of N=2 minimal gauged supergravity in four Euclidean dimensions. We obtain necessary conditions for the existence of additional Killing spinors, corresponding to enhancement of supersymmetry. If the Weyl tensor is anti-self-dual then the supersymmetric metrics satisfying these conditions are given by separable solutions to the $SU(\infty)$ Toda equation. Otherwise they are ambi-K\"ahler and are conformally equivalent to K\"ahler metrics of Calabi type or to product metrics on two Riemann surfaces. |
hep-th/0511179 | Iv\'an Calvo | Ivan Calvo | Supersymmetric WZ-Poisson sigma model and twisted generalized complex
geometry | 11 pages. Proof of the theorem of Section 2 revised. Typos corrected.
Version to appear in Lett.Math.Phys | Lett.Math.Phys.77:53-62,2006 | 10.1007/s11005-006-0080-8 | null | hep-th math.DG math.QA | null | It has been shown recently that extended supersymmetry in twisted first-order
sigma models is related to twisted generalized complex geometry in the target.
In the general case there are additional algebraic and differential conditions
relating the twisted generalized complex structure and the geometrical data
defining the model. We study in the Hamiltonian formalism the case of vanishing
metric, which is the supersymmetric version of the WZ-Poisson sigma model. We
prove that the compatibility conditions reduce to an algebraic equation, which
represents a considerable simplification with respect to the general case. We
also show that this algebraic condition has a very natural geometrical
interpretation. In the derivation of these results the notion of contravariant
connections on twisted Poisson manifolds turns out to be very useful.
| [
{
"created": "Thu, 17 Nov 2005 19:17:11 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Dec 2005 17:22:13 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Mar 2006 14:53:29 GMT",
"version": "v3"
}
] | 2010-07-07 | [
[
"Calvo",
"Ivan",
""
]
] | It has been shown recently that extended supersymmetry in twisted first-order sigma models is related to twisted generalized complex geometry in the target. In the general case there are additional algebraic and differential conditions relating the twisted generalized complex structure and the geometrical data defining the model. We study in the Hamiltonian formalism the case of vanishing metric, which is the supersymmetric version of the WZ-Poisson sigma model. We prove that the compatibility conditions reduce to an algebraic equation, which represents a considerable simplification with respect to the general case. We also show that this algebraic condition has a very natural geometrical interpretation. In the derivation of these results the notion of contravariant connections on twisted Poisson manifolds turns out to be very useful. |
hep-th/9509027 | Alexander Kalloniatis | Alex C. Kalloniatis (Max-Planck Institut fuer Kernphysik, Heidelberg) | On Zero Modes and the Vacuum Problem -- A Study of Scalar Adjoint Matter
in Two-Dimensional Yang-Mills Theory via Light-Cone Quantisation | LaTeX file, 26 pages. 14 postscript figures | Phys.Rev. D54 (1996) 2876-2888 | 10.1103/PhysRevD.54.2876 | MPI-H-V29-1995 | hep-th | null | SU(2) Yang-Mills Theory coupled to massive adjoint scalar matter is studied
in (1+1) dimensions using Discretised Light-Cone Quantisation. This theory can
be obtained from pure Yang-Mills in 2+1 dimensions via dimensional reduction.
On the light-cone, the vacuum structure of this theory is encoded in the
dynamical zero mode of a gluon and a constrained mode of the scalar field. The
latter satisfies a linear constraint, suggesting no nontrivial vacua in the
present paradigm for symmetry breaking on the light-cone. I develop a
diagrammatic method to solve the constraint equation. In the adiabatic
approximation I compute the quantum mechanical potential governing the
dynamical gauge mode. Due to a condensation of the lowest omentum modes of the
dynamical gluons, a centrifugal barrier is generated in the adiabatic
potential. In the present theory however, the barrier height appears too small
to make any impact in this odel. Although the theory is superrenormalisable on
naive powercounting grounds, the removal of ultraviolet divergences is
nontrivial when the constrained mode is taken into account. The open aspects of
this problem are discussed in detail.
| [
{
"created": "Wed, 6 Sep 1995 18:09:09 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kalloniatis",
"Alex C.",
"",
"Max-Planck Institut fuer Kernphysik, Heidelberg"
]
] | SU(2) Yang-Mills Theory coupled to massive adjoint scalar matter is studied in (1+1) dimensions using Discretised Light-Cone Quantisation. This theory can be obtained from pure Yang-Mills in 2+1 dimensions via dimensional reduction. On the light-cone, the vacuum structure of this theory is encoded in the dynamical zero mode of a gluon and a constrained mode of the scalar field. The latter satisfies a linear constraint, suggesting no nontrivial vacua in the present paradigm for symmetry breaking on the light-cone. I develop a diagrammatic method to solve the constraint equation. In the adiabatic approximation I compute the quantum mechanical potential governing the dynamical gauge mode. Due to a condensation of the lowest omentum modes of the dynamical gluons, a centrifugal barrier is generated in the adiabatic potential. In the present theory however, the barrier height appears too small to make any impact in this odel. Although the theory is superrenormalisable on naive powercounting grounds, the removal of ultraviolet divergences is nontrivial when the constrained mode is taken into account. The open aspects of this problem are discussed in detail. |
2110.06245 | Filippo Revello | Joseph P. Conlon, Sirui Ning, Filippo Revello | Exploring The Holographic Swampland | 32 pages + references | null | 10.1007/JHEP04(2022)117 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We extend studies of holographic aspects of moduli stabilisation scenarios to
both fibred versions of LVS and the type IIA DGKT flux vacua. We study the
holographic properties of the low-energy moduli Lagrangian that describes both
the AdS vacuum and also small perturbations about it. For type IIA vacua in the
large-volume regime, the CFT data (operator dimensions and higher-point
interactions) take a universal form independent of the many arbitrary flux
choices, as was previously found for LVS stabilisation. For these IIA vacua the
conformal dimensions of the dual operators are also, surprisingly, all
integers, although we do not understand a deeper reason why this is so. In
contrast to behaviour previously found for LVS and KKLT, the fibred models also
admit cases of mixed double-trace operators (for two different axion fields)
where the anomalous dimension is positive.
| [
{
"created": "Tue, 12 Oct 2021 18:01:59 GMT",
"version": "v1"
}
] | 2022-05-11 | [
[
"Conlon",
"Joseph P.",
""
],
[
"Ning",
"Sirui",
""
],
[
"Revello",
"Filippo",
""
]
] | We extend studies of holographic aspects of moduli stabilisation scenarios to both fibred versions of LVS and the type IIA DGKT flux vacua. We study the holographic properties of the low-energy moduli Lagrangian that describes both the AdS vacuum and also small perturbations about it. For type IIA vacua in the large-volume regime, the CFT data (operator dimensions and higher-point interactions) take a universal form independent of the many arbitrary flux choices, as was previously found for LVS stabilisation. For these IIA vacua the conformal dimensions of the dual operators are also, surprisingly, all integers, although we do not understand a deeper reason why this is so. In contrast to behaviour previously found for LVS and KKLT, the fibred models also admit cases of mixed double-trace operators (for two different axion fields) where the anomalous dimension is positive. |
2306.13650 | Boris Altshuler | Boris Altshuler | Schwarzschild deformed supergravity background: possible geometry origin
of fermion generations and mass hierarchy | 21 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | TThe problem of fermion masses hierarchy in the Standard Model is considered
on a toy model of a 10-dimensional space-time with a IIA supergravity type
background. Dirac equation on this background, after compactification of extra
4- and 1-dimensional subspaces, gives the spectrum of Fermi fields which
profiles in 5 dimensions and corresponding Higgs generated masses in 4
dimensions depend on the eigenvalues of Dirac operator on the named compact
subspaces. Schwarzschild Euclidean deformation of the supergravity throat with
the "apple-shaped" conical singularity permits to leave only three
non-divergent angular modes interpreted as three generations of the down-type
quarks. Calculated ratio $m_{d} / m_{s} = e^{-3}$ exactly coincides with its
experimentally observed value for integer values of two free parameters of the
10-dimensional background. Equations for non-chiral modes coincide with the
non-relativistic Schr\"odinger equation for an electron moving in a Coulomb
field; the corresponding small fermion masses generated by the twisted boundary
conditions are expressed through the degenerate hypergeometric functions.
| [
{
"created": "Fri, 23 Jun 2023 17:56:41 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Aug 2023 16:26:17 GMT",
"version": "v2"
}
] | 2023-08-21 | [
[
"Altshuler",
"Boris",
""
]
] | TThe problem of fermion masses hierarchy in the Standard Model is considered on a toy model of a 10-dimensional space-time with a IIA supergravity type background. Dirac equation on this background, after compactification of extra 4- and 1-dimensional subspaces, gives the spectrum of Fermi fields which profiles in 5 dimensions and corresponding Higgs generated masses in 4 dimensions depend on the eigenvalues of Dirac operator on the named compact subspaces. Schwarzschild Euclidean deformation of the supergravity throat with the "apple-shaped" conical singularity permits to leave only three non-divergent angular modes interpreted as three generations of the down-type quarks. Calculated ratio $m_{d} / m_{s} = e^{-3}$ exactly coincides with its experimentally observed value for integer values of two free parameters of the 10-dimensional background. Equations for non-chiral modes coincide with the non-relativistic Schr\"odinger equation for an electron moving in a Coulomb field; the corresponding small fermion masses generated by the twisted boundary conditions are expressed through the degenerate hypergeometric functions. |
1503.07287 | Sayantan Choudhury | Sayantan Choudhury, Joydip Mitra, Soumitra SenGupta | Fermion localization in higher curvature spacetime | 18 pages, 1 figure, 2 tables, Accepted for publication in Classical
and Quantum Gravity | Class. Quantum Grav. 35 (2018) 025007 | 10.1088/1361-6382/aa91f7 | TIFR/TH/15-09 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fermion localization in a braneworld model in presence of dilaton coupled
higher curvature Gauss-Bonnet bulk gravity is discussed. It is shown that the
lowest mode of left handed fermions can be naturally localized on the visible
brane due to the dilaton coupled higher curvature term without the necessity of
any external localizing bulk field.
| [
{
"created": "Wed, 25 Mar 2015 06:00:55 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Oct 2017 06:45:52 GMT",
"version": "v2"
}
] | 2017-12-18 | [
[
"Choudhury",
"Sayantan",
""
],
[
"Mitra",
"Joydip",
""
],
[
"SenGupta",
"Soumitra",
""
]
] | Fermion localization in a braneworld model in presence of dilaton coupled higher curvature Gauss-Bonnet bulk gravity is discussed. It is shown that the lowest mode of left handed fermions can be naturally localized on the visible brane due to the dilaton coupled higher curvature term without the necessity of any external localizing bulk field. |
hep-th/9202037 | null | Dieter R. Brill | Splitting of an Extremal Reissner-Nordstr\"om Throat via Quantum
Tunneling | 10 pages | Phys.Rev.D46:1560-1565,1992 | 10.1103/PhysRevD.46.1560 | null | hep-th | null | The interior near the horizon of an extremal Reissner-Nordstr\"om black hole
is taken as an initial state for quantum mechanical tunneling. An instanton is
presented that connects this state with a final state describing the presence
of several horizons. This is interpreted as a WKB description of fluctuations
due to the throat splitting into several components.
| [
{
"created": "Wed, 12 Feb 1992 14:10:00 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Mar 1992 15:14:00 GMT",
"version": "v2"
}
] | 2010-11-01 | [
[
"Brill",
"Dieter R.",
""
]
] | The interior near the horizon of an extremal Reissner-Nordstr\"om black hole is taken as an initial state for quantum mechanical tunneling. An instanton is presented that connects this state with a final state describing the presence of several horizons. This is interpreted as a WKB description of fluctuations due to the throat splitting into several components. |
0901.3315 | Joseph Ben Geloun | J Ben Geloun and F G Scholtz | Coherent states in noncommutative quantum mechanics | null | null | 10.1063/1.3105926 | NITheP-08-14, ICMPA-MPA/2009/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gazeau-Klauder coherent states in noncommutative quantum mechanics are
considered. We find that these states share similar properties to those of
ordinary canonical coherent states in the sense that they saturate the related
position uncertainty relation, obey a Poisson distribution and possess a flat
geometry. Using the natural isometry between the quantum Hilbert space of
Hilbert Schmidt operators and the tensor product of the classical configuration
space and its dual, we reveal the inherent vector feature of these states.
| [
{
"created": "Wed, 21 Jan 2009 17:02:30 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Geloun",
"J Ben",
""
],
[
"Scholtz",
"F G",
""
]
] | Gazeau-Klauder coherent states in noncommutative quantum mechanics are considered. We find that these states share similar properties to those of ordinary canonical coherent states in the sense that they saturate the related position uncertainty relation, obey a Poisson distribution and possess a flat geometry. Using the natural isometry between the quantum Hilbert space of Hilbert Schmidt operators and the tensor product of the classical configuration space and its dual, we reveal the inherent vector feature of these states. |
hep-th/0010215 | Tomas Dolezel | Nathalie Deruelle, Tomas Dolezel, Joseph Katz | Perturbations of brane worlds | 19 pages, no figures, RevTex, version to appear in Phys.Rev.D; minor
changes in chap.V, polarisation tensor at page 13 corrected | Phys.Rev. D63 (2001) 083513 | 10.1103/PhysRevD.63.083513 | null | hep-th astro-ph gr-qc | null | We consider cosmological models where the universe, governed by Einstein's
equations, is a piece of a five dimensional double-sided anti-de Sitter
spacetime (that is, a "$Z_2$-symmetric bulk") with matter confined to its four
dimensional Robertson-Walker boundary or "brane". We study the perturbations of
such models. We use conformally minkowskian coordinates to disentangle the
contributions of the bulk gravitons and of the motion of the brane. We find the
restrictions put on the bulk gravitons when matter on the brane is taken to be
a scalar field and we solve in that case the brane perturbation equations.
| [
{
"created": "Tue, 24 Oct 2000 14:59:46 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jan 2001 16:12:03 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Deruelle",
"Nathalie",
""
],
[
"Dolezel",
"Tomas",
""
],
[
"Katz",
"Joseph",
""
]
] | We consider cosmological models where the universe, governed by Einstein's equations, is a piece of a five dimensional double-sided anti-de Sitter spacetime (that is, a "$Z_2$-symmetric bulk") with matter confined to its four dimensional Robertson-Walker boundary or "brane". We study the perturbations of such models. We use conformally minkowskian coordinates to disentangle the contributions of the bulk gravitons and of the motion of the brane. We find the restrictions put on the bulk gravitons when matter on the brane is taken to be a scalar field and we solve in that case the brane perturbation equations. |
1708.04631 | Bruno Le Floch | Bruno Le Floch, Gustavo J. Turiaci | AGT/Z$_2$ | 56 pages. v2: Clarify discrete theta angle. v3: Published in JHEP;
extra references. v4: Minor sign fix; extra references | JHEP 1712 (2017) 099 | 10.1007/JHEP12(2017)099 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We relate Liouville/Toda CFT correlators on Riemann surfaces with boundaries
and cross-cap states to supersymmetric observables in four-dimensional N=2
gauge theories. Our construction naturally involves four-dimensional theories
with fields defined on different Z$_2$ quotients of the sphere (hemisphere and
projective space) but nevertheless interacting with each other. The
six-dimensional origin is a Z$_2$ quotient of the setup giving rise to the
usual AGT correspondence. To test the correspondence, we work out the RP$^4$
partition function of four-dimensional N=2 theories by combining a 3d lens
space and a 4d hemisphere partition functions. The same technique reproduces
known RP$^2$ partition functions in a form that lets us easily check
two-dimensional Seiberg-like dualities on this nonorientable space. As a bonus
we work out boundary and cross-cap wavefunctions in Toda CFT.
| [
{
"created": "Tue, 15 Aug 2017 18:07:19 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Sep 2017 17:54:52 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Jan 2018 00:14:05 GMT",
"version": "v3"
},
{
"created": "Tue, 24 Jul 2018 05:51:55 GMT",
"version": "v4"
}
] | 2018-07-25 | [
[
"Floch",
"Bruno Le",
""
],
[
"Turiaci",
"Gustavo J.",
""
]
] | We relate Liouville/Toda CFT correlators on Riemann surfaces with boundaries and cross-cap states to supersymmetric observables in four-dimensional N=2 gauge theories. Our construction naturally involves four-dimensional theories with fields defined on different Z$_2$ quotients of the sphere (hemisphere and projective space) but nevertheless interacting with each other. The six-dimensional origin is a Z$_2$ quotient of the setup giving rise to the usual AGT correspondence. To test the correspondence, we work out the RP$^4$ partition function of four-dimensional N=2 theories by combining a 3d lens space and a 4d hemisphere partition functions. The same technique reproduces known RP$^2$ partition functions in a form that lets us easily check two-dimensional Seiberg-like dualities on this nonorientable space. As a bonus we work out boundary and cross-cap wavefunctions in Toda CFT. |
1609.06557 | Azadeh Nemati | Amin Akhavan, Ali Naseh, Azadeh Nemati, Ahmad Shirzad | New Bi-Gravities | This is a short version, 30 pages, 2 figures, typos fixed, one
appendix added to show the model is consistent around possible flat solutions | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the problem of ghosts in critical gravity and its higher
dimensional extensions can be resolved by giving dynamics to the symmetric rank
two auxiliary field existing in the action of these theories. These New
Bi-Gravities, at linear level around the AdS vacuum, are free of Boulware-Deser
ghost, kinetic ghost and tachyonic instability within the particular range of
parameters. Moreover, we show that the energy and entropy of AdS-Schwarzschild
black hole solutions of these new models are positive in the same range of
parameters. This may be the sign that these new models are also free of ghost
instabilities at the non-linear level.
| [
{
"created": "Wed, 21 Sep 2016 13:44:02 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Oct 2016 09:18:16 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Sep 2017 15:55:42 GMT",
"version": "v3"
}
] | 2017-09-12 | [
[
"Akhavan",
"Amin",
""
],
[
"Naseh",
"Ali",
""
],
[
"Nemati",
"Azadeh",
""
],
[
"Shirzad",
"Ahmad",
""
]
] | We show that the problem of ghosts in critical gravity and its higher dimensional extensions can be resolved by giving dynamics to the symmetric rank two auxiliary field existing in the action of these theories. These New Bi-Gravities, at linear level around the AdS vacuum, are free of Boulware-Deser ghost, kinetic ghost and tachyonic instability within the particular range of parameters. Moreover, we show that the energy and entropy of AdS-Schwarzschild black hole solutions of these new models are positive in the same range of parameters. This may be the sign that these new models are also free of ghost instabilities at the non-linear level. |
hep-th/0211276 | Christoph Adam | C. Adam, B. Muratori, C. Nash | Chern-Simons action for zero-mode supporting gauge fields in three
dimensions | version as published in PRD, minor changes | Phys.Rev. D67 (2003) 087703 | 10.1103/PhysRevD.67.087703 | null | hep-th | null | Recent results on zero modes of the Abelian Dirac operator in three
dimensions support to some degree the conjecture that the Chern-Simons action
admits only certain quantized values for gauge fields that lead to zero modes
of the corresponding Dirac operator. Here we show that this conjecture is wrong
by constructing an explicit counter-example.
| [
{
"created": "Thu, 28 Nov 2002 11:19:24 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jul 2003 12:04:08 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Adam",
"C.",
""
],
[
"Muratori",
"B.",
""
],
[
"Nash",
"C.",
""
]
] | Recent results on zero modes of the Abelian Dirac operator in three dimensions support to some degree the conjecture that the Chern-Simons action admits only certain quantized values for gauge fields that lead to zero modes of the corresponding Dirac operator. Here we show that this conjecture is wrong by constructing an explicit counter-example. |
0812.2900 | Oleg Evnin | Ben Craps, Frederik De Roo and Oleg Evnin | Can free strings propagate across plane wave singularities? | 24 pages; v.2: published version, minor clarifications added | JHEP 0903:105,2009 | 10.1088/1126-6708/2009/03/105 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We study free string propagation in families of plane wave geometries
developing strong scale-invariant singularities in certain limits. We relate
the singular limit of the evolution for all excited string modes to that of the
center-of-mass motion (the latter existing for discrete values of the overall
plane wave profile normalization). Requiring that the entire excitation energy
of the string should be finite turns out to be quite restrictive and
essentially excludes consistent propagation across the singularity, unless
dimensionful scales are introduced at the singular locus (in an otherwise
scale-invariant space-time).
| [
{
"created": "Mon, 15 Dec 2008 20:40:33 GMT",
"version": "v1"
},
{
"created": "Fri, 1 May 2009 14:10:54 GMT",
"version": "v2"
}
] | 2009-05-01 | [
[
"Craps",
"Ben",
""
],
[
"De Roo",
"Frederik",
""
],
[
"Evnin",
"Oleg",
""
]
] | We study free string propagation in families of plane wave geometries developing strong scale-invariant singularities in certain limits. We relate the singular limit of the evolution for all excited string modes to that of the center-of-mass motion (the latter existing for discrete values of the overall plane wave profile normalization). Requiring that the entire excitation energy of the string should be finite turns out to be quite restrictive and essentially excludes consistent propagation across the singularity, unless dimensionful scales are introduced at the singular locus (in an otherwise scale-invariant space-time). |
1812.07962 | Hasan El Moumni | A. Belhaj, H. El Moumni | Entanglement Entropy and Phase Portrait of f(R)-AdS Black Holes in the
Grand Canonical Ensemble | 15 pages, 5figures, accepted in NPB | null | 10.1016/j.nuclphysb.2018.11.010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we investigate the thermodynamical behavior of charged AdS
black holes from $f(R)$ gravity corrections with a constant Ricci scalar
curvature in the grand-canonical ensemble. Using the holographic entanglement
entropy, we show that the physical observables behave as in the case of the
thermal entropy. By performing numerical computations associated with the
thermodynamical quantities versus the entanglement entropy, we confirm that the
same phase portrait persists in the holographic framework. In the
grand-canonical ensemble, the present result supports the former finding which
reveals that the charged $f(R)$ AdS black holes behave much like RN-AdS black
holes.
| [
{
"created": "Tue, 20 Nov 2018 23:41:59 GMT",
"version": "v1"
}
] | 2018-12-20 | [
[
"Belhaj",
"A.",
""
],
[
"Moumni",
"H. El",
""
]
] | In this work, we investigate the thermodynamical behavior of charged AdS black holes from $f(R)$ gravity corrections with a constant Ricci scalar curvature in the grand-canonical ensemble. Using the holographic entanglement entropy, we show that the physical observables behave as in the case of the thermal entropy. By performing numerical computations associated with the thermodynamical quantities versus the entanglement entropy, we confirm that the same phase portrait persists in the holographic framework. In the grand-canonical ensemble, the present result supports the former finding which reveals that the charged $f(R)$ AdS black holes behave much like RN-AdS black holes. |
1601.04523 | S. Weinzierl | Leonardo de la Cruz, Alexander Kniss and Stefan Weinzierl | Double copies of fermions as only gravitational interacting matter | 5 pages, v2: version to be published | Phys. Rev. Lett. 116, 201601 (2016) | 10.1103/PhysRevLett.116.201601 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by the recent progress in the field of scattering amplitudes, we
discuss hypothetical particles which can be characterised as the double copies
of fermions -- in the same way gravitons can be viewed as double copies of
gauge bosons. As the gravitons, these hypothetical particles interact only
through gravitational interactions. We present two equivalent methods for the
computation of the relevant scattering amplitudes. The hypothetical particles
can be massive and non-relativistic.
| [
{
"created": "Mon, 18 Jan 2016 14:17:26 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2016 16:52:35 GMT",
"version": "v2"
}
] | 2016-05-25 | [
[
"de la Cruz",
"Leonardo",
""
],
[
"Kniss",
"Alexander",
""
],
[
"Weinzierl",
"Stefan",
""
]
] | Inspired by the recent progress in the field of scattering amplitudes, we discuss hypothetical particles which can be characterised as the double copies of fermions -- in the same way gravitons can be viewed as double copies of gauge bosons. As the gravitons, these hypothetical particles interact only through gravitational interactions. We present two equivalent methods for the computation of the relevant scattering amplitudes. The hypothetical particles can be massive and non-relativistic. |
hep-th/0612082 | W. F. Kao | W.F. Kao | Anisotropic induced gravity and inflationary universe | 8 pages | null | null | null | hep-th | null | Existence and stability analysis of the Kantowski-Sachs type universe in a
higher derivative induced gravity theory is studied in details. Existence of
one stable mode and one unstable mode is shown to be in favor of the
inflationary universe. As a result, the de Sitter background can be made to be
stable against anisotropic perturbations with proper constraints imposed on the
coupling constants of the induced gravity model.
| [
{
"created": "Sat, 9 Dec 2006 16:51:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kao",
"W. F.",
""
]
] | Existence and stability analysis of the Kantowski-Sachs type universe in a higher derivative induced gravity theory is studied in details. Existence of one stable mode and one unstable mode is shown to be in favor of the inflationary universe. As a result, the de Sitter background can be made to be stable against anisotropic perturbations with proper constraints imposed on the coupling constants of the induced gravity model. |
0904.4357 | Hossein Yavartanoo | Eoin \'O Colg\'ain and Hossein Yavartanoo | Dyonic solution of Horava-Lifshitz Gravity | 7 pages | JHEP 0908:021,2009 | 10.1088/1126-6708/2009/08/021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently proposed Horava-Lifshitz gravity promises a UV completion of
Einstein's theory by sacrificing general covariance at short distances and
introducing anisotropic spacetime scaling. Here we present a dyonic solution by
coupling this theory to a vector field and we discuss some properties of
solution.
| [
{
"created": "Tue, 28 Apr 2009 10:05:19 GMT",
"version": "v1"
}
] | 2009-08-11 | [
[
"Colgáin",
"Eoin Ó",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] | Recently proposed Horava-Lifshitz gravity promises a UV completion of Einstein's theory by sacrificing general covariance at short distances and introducing anisotropic spacetime scaling. Here we present a dyonic solution by coupling this theory to a vector field and we discuss some properties of solution. |
hep-th/0010150 | Yury M. Zinoviev | Yu.M. Zinoviev | Gravity as Lorentz Force | 22 pages | null | null | SMI - 00 - 104 | hep-th | null | The main object of the proposed theory is not a pseudometric, but a symmetric
affine connection on the Minkowski space. The coefficients of this connection
have one upper and two lower indices. These coefficients are symmetric with
respect to the permutation of the lower indices. We identify the convolution of
the connection coefficients with the vector - potential of the electromagnetic
field. Then the gravity is the Lorentz force of this electromagnetic field.
| [
{
"created": "Wed, 18 Oct 2000 13:36:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Zinoviev",
"Yu. M.",
""
]
] | The main object of the proposed theory is not a pseudometric, but a symmetric affine connection on the Minkowski space. The coefficients of this connection have one upper and two lower indices. These coefficients are symmetric with respect to the permutation of the lower indices. We identify the convolution of the connection coefficients with the vector - potential of the electromagnetic field. Then the gravity is the Lorentz force of this electromagnetic field. |
hep-th/9209099 | null | Tom Lada and Jim Stasheff | Introduction to sh Lie algebras for physicists | 14 pages AMSTEX, UNC-MATH-92/2 | Int.J.Theor.Phys. 32 (1993) 1087-1104 | 10.1007/BF00671791 | null | hep-th | null | Closed string field theory leads to a generalization of Lie algebra which
arose naturally within mathematics in the study of deformations of algebraic
structures. It also appeared in work on higher spin particles \cite{BBvD}.
Representation theoretic analogs arose in the mathematical analysis of the
Batalin-Fradkin-Vilkovisky approach to constrained Hamiltonians. A major goal
of this paper is to see the relevant formulas, especially in closed string
field theory, as a generalization of those for a differential graded Lie
algebra, hopefully describing the mathematical essentials in terms accessible
to {\it physicists}.
| [
{
"created": "Thu, 24 Sep 1992 18:39:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Lada",
"Tom",
""
],
[
"Stasheff",
"Jim",
""
]
] | Closed string field theory leads to a generalization of Lie algebra which arose naturally within mathematics in the study of deformations of algebraic structures. It also appeared in work on higher spin particles \cite{BBvD}. Representation theoretic analogs arose in the mathematical analysis of the Batalin-Fradkin-Vilkovisky approach to constrained Hamiltonians. A major goal of this paper is to see the relevant formulas, especially in closed string field theory, as a generalization of those for a differential graded Lie algebra, hopefully describing the mathematical essentials in terms accessible to {\it physicists}. |
hep-th/0405159 | Nima Arkani-Hamed | Nima Arkani-Hamed, Savas Dimopoulos | Supersymmetric Unification Without Low Energy Supersymmetry And
Signatures for Fine-Tuning at the LHC | Typos and equations fixed, references added | JHEP 0506 (2005) 073 | 10.1088/1126-6708/2005/06/073 | null | hep-th astro-ph hep-ph | null | The cosmological constant problem is a failure of naturalness and suggests
that a fine-tuning mechanism is at work, which may also address the hierarchy
problem. An example -- supported by Weinberg's successful prediction of the
cosmological constant -- is the potentially vast landscape of vacua in string
theory, where the existence of galaxies and atoms is promoted to a vacuum
selection criterion. Then, low energy SUSY becomes unnecessary, and
supersymmetry -- if present in the fundamental theory -- can be broken near the
unification scale. All the scalars of the supersymmetric standard model become
ultraheavy, except for a single finely tuned Higgs. Yet, the fermions of the
supersymmetric standard model can remain light, protected by chiral symmetry,
and account for the successful unification of gauge couplings. This framework
removes all the difficulties of the SSM: the absence of a light Higgs and
sparticles, dimension five proton decay, SUSY flavor and CP problems, and the
cosmological gravitino and moduli problems. High-scale SUSY breaking raises the
mass of the light Higgs to about 120-150 GeV. The gluino is strikingly long
lived, and a measurement of its lifetime can determine the ultraheavy scalar
mass scale. Measuring the four Yukawa couplings of the Higgs to the gauginos
and higgsinos precisely tests for high-scale SUSY. These ideas, if confirmed,
will demonstrate that supersymmetry is present but irrelevant for the hierarchy
problem -- just as it has been irrelevant for the cosmological constant problem
-- strongly suggesting the existence of a fine-tuning mechanism in nature.
| [
{
"created": "Tue, 18 May 2004 19:46:33 GMT",
"version": "v1"
},
{
"created": "Mon, 24 May 2004 20:02:10 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Dimopoulos",
"Savas",
""
]
] | The cosmological constant problem is a failure of naturalness and suggests that a fine-tuning mechanism is at work, which may also address the hierarchy problem. An example -- supported by Weinberg's successful prediction of the cosmological constant -- is the potentially vast landscape of vacua in string theory, where the existence of galaxies and atoms is promoted to a vacuum selection criterion. Then, low energy SUSY becomes unnecessary, and supersymmetry -- if present in the fundamental theory -- can be broken near the unification scale. All the scalars of the supersymmetric standard model become ultraheavy, except for a single finely tuned Higgs. Yet, the fermions of the supersymmetric standard model can remain light, protected by chiral symmetry, and account for the successful unification of gauge couplings. This framework removes all the difficulties of the SSM: the absence of a light Higgs and sparticles, dimension five proton decay, SUSY flavor and CP problems, and the cosmological gravitino and moduli problems. High-scale SUSY breaking raises the mass of the light Higgs to about 120-150 GeV. The gluino is strikingly long lived, and a measurement of its lifetime can determine the ultraheavy scalar mass scale. Measuring the four Yukawa couplings of the Higgs to the gauginos and higgsinos precisely tests for high-scale SUSY. These ideas, if confirmed, will demonstrate that supersymmetry is present but irrelevant for the hierarchy problem -- just as it has been irrelevant for the cosmological constant problem -- strongly suggesting the existence of a fine-tuning mechanism in nature. |
hep-th/9701089 | Paul Ohara | Paul O'Hara (Northeastern Illinois University) | Bell's inequality, the Pauli exclusion principle and baryonic structure | 8 pages LATEX, includes an eps file | null | null | 97-0118 | hep-th physics.data-an quant-ph | null | Bell's inequality has been traditionally used to explore the relationship
between hidden variables and the Copenhagen interpretation of quantum
mechanics. In this paper, another use is found. Bell's inequality is used to
derive a coupling principle for elementary particles and to give a deeper
understanding of baryonic structure. We also give a derivation of the Pauli
exclusion principle from the coupling principle. Pacs: 14.20-c, 12.90+b,
3.65.Bz, 12.40.Ee
| [
{
"created": "Sat, 18 Jan 1997 21:59:29 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"O'Hara",
"Paul",
"",
"Northeastern Illinois University"
]
] | Bell's inequality has been traditionally used to explore the relationship between hidden variables and the Copenhagen interpretation of quantum mechanics. In this paper, another use is found. Bell's inequality is used to derive a coupling principle for elementary particles and to give a deeper understanding of baryonic structure. We also give a derivation of the Pauli exclusion principle from the coupling principle. Pacs: 14.20-c, 12.90+b, 3.65.Bz, 12.40.Ee |
hep-th/9702081 | Panos Saltsidis | P. Saltsidis | Tensionless p-branes with manifest conformal invariance | 14 pages, no figures | Phys.Lett. B401 (1997) 21-29 | 10.1016/S0370-2693(97)00380-8 | USITP-97-02 | hep-th | null | The quantization of the tensionless p-brane is discussed. Inspection of the
constraint algebra reveals that the central extensions for the p-branes have a
simple form. Using a Hamiltonian BRST scheme we find that the quantization is
consistent in any space-time dimension while the quantization of the conformal
tensionless p-brane gives a critical dimension $d=2$.
| [
{
"created": "Mon, 10 Feb 1997 15:52:07 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Saltsidis",
"P.",
""
]
] | The quantization of the tensionless p-brane is discussed. Inspection of the constraint algebra reveals that the central extensions for the p-branes have a simple form. Using a Hamiltonian BRST scheme we find that the quantization is consistent in any space-time dimension while the quantization of the conformal tensionless p-brane gives a critical dimension $d=2$. |
1904.00900 | Alexander Migdal | Alexander Migdal | Scaling Index $\alpha = \frac{1}{2}$ In Turbulent Area Law | 13 pages, 7 figures, added discussion of Kelvin Theorem, time
reversal, corrected a typo in loop equation. arXiv admin note: text overlap
with arXiv:1903.08613 | null | null | null | hep-th nlin.CD physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the Minimal Area solution to the Loop Equations in turbulence
\cite{M93}. As it follows from the new derivation in the recent paper
\cite{M19}, the vorticity is represented as a normal vector to the minimal
surface not just at the edge, like it was assumed before, but all over the
surface. As it was pointed in that paper, the self-consistency relation for
mean vorticity leads to $\alpha=\frac{1}{2}$, however the similar conditions
for product of two and more vorticities cannot be satisfied without extra
terms, which were left undetermined in that paper. In this paper we find these
missing terms -- they are delta functions at coinciding points which must be
taken into considerations in surface integrals. We compare this value of
$\alpha$ with new measurements of the same team which confirmed the area law
\cite{S19} and we find that asymptotic formula $\lambda(p) \approx 2 \alpha p +
\beta \ln p$, with $\alpha =0.49 \pm 0.02, \beta= 0.92 \pm 0.01 $, fits all
data at $p=3,...10$ within error bars.
| [
{
"created": "Mon, 1 Apr 2019 15:03:59 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Apr 2019 06:10:41 GMT",
"version": "v2"
}
] | 2019-04-09 | [
[
"Migdal",
"Alexander",
""
]
] | We analyze the Minimal Area solution to the Loop Equations in turbulence \cite{M93}. As it follows from the new derivation in the recent paper \cite{M19}, the vorticity is represented as a normal vector to the minimal surface not just at the edge, like it was assumed before, but all over the surface. As it was pointed in that paper, the self-consistency relation for mean vorticity leads to $\alpha=\frac{1}{2}$, however the similar conditions for product of two and more vorticities cannot be satisfied without extra terms, which were left undetermined in that paper. In this paper we find these missing terms -- they are delta functions at coinciding points which must be taken into considerations in surface integrals. We compare this value of $\alpha$ with new measurements of the same team which confirmed the area law \cite{S19} and we find that asymptotic formula $\lambda(p) \approx 2 \alpha p + \beta \ln p$, with $\alpha =0.49 \pm 0.02, \beta= 0.92 \pm 0.01 $, fits all data at $p=3,...10$ within error bars. |
1812.02376 | Junji Yamamoto | Tatsuo Kobayashi, Osamu Seto, Shintaro Takada, Takuya H. Tatsuishi,
Shohei Uemura, Junji Yamamoto | F-term Moduli Stabilization and Uplifting | 22 pages, 2 figures | Prog Theor Exp Phys (2019) | 10.1093/ptep/ptz094 | EPHOU-18-015, KUNS-2744, MISC-2018-2 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study K\"ahler moduli stabilization in IIB superstring theory. We propose
a new moduli stabilization mechanism by the supersymmetry-braking chiral
superfield which is coupled to K\"ahler moduli in K\"ahler potential. We also
study uplifting of the Large Volume Scenario (LVS) by it. In both cases, the
form of superpotential is crucial for moduli stabilization. We confirm that our
uplifting mechanism does not destabilize the vacuum of the LVS drastically.
| [
{
"created": "Thu, 6 Dec 2018 07:09:33 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jul 2019 07:58:36 GMT",
"version": "v2"
}
] | 2019-10-17 | [
[
"Kobayashi",
"Tatsuo",
""
],
[
"Seto",
"Osamu",
""
],
[
"Takada",
"Shintaro",
""
],
[
"Tatsuishi",
"Takuya H.",
""
],
[
"Uemura",
"Shohei",
""
],
[
"Yamamoto",
"Junji",
""
]
] | We study K\"ahler moduli stabilization in IIB superstring theory. We propose a new moduli stabilization mechanism by the supersymmetry-braking chiral superfield which is coupled to K\"ahler moduli in K\"ahler potential. We also study uplifting of the Large Volume Scenario (LVS) by it. In both cases, the form of superpotential is crucial for moduli stabilization. We confirm that our uplifting mechanism does not destabilize the vacuum of the LVS drastically. |
1707.09514 | H. T. Ozer | H.T. \"Ozer and Ayt\"ul Filiz | On the Explicit Asymptotic $\mathcal{W}_5$ Symmetry of 3D Chern-Simons
Higher Spin $AdS_3$ Gravity | 31 pages, no figures, LaTeX file | Journal of Mathematical Physics 59, 083504 (2018) | 10.1063/1.5042080 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we explicitly construct an asymptotic $\mathcal{W}_5$ symmetry
algebra of the three-dimensional anti-de Sitter $(AdS_3)$ higher spin gravity.
We use an $\mathfrak{sl}(5,R) \oplus \mathfrak{sl}(5,R)$ Lie algebra valued
Chern-Simons gauge theory with a negative cosmological constant and its
asymptotic symmetry algebra is explicitly calculated as two copies of the
classical $\mathcal{W}_5$ algebra with central charge c. Our results can be
interpreted as a spin $5$ extension of $AdS_3$ gravity and a proof of how the
higher spin Ward identities and as well as the asymptotic $\mathcal{W}_5$
symmetry algebra are derived from the higher spin bulk field equations of
motion. This higher spin asymptotic $\mathcal{W}_5$ symmetry algebra contains a
finite number of conformal primary spin s: $s\,=\,2,\,3,\,4,\,5.$ We also
indicated how to introduce chemical potentials and holonomy conditions
associated with these higher spin charges in $AdS_3$ higher spin gravity in a
manner that it preserves the asymptotic symmetry algebra.
| [
{
"created": "Sat, 29 Jul 2017 13:44:57 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2017 19:06:49 GMT",
"version": "v2"
},
{
"created": "Sun, 30 Sep 2018 10:19:52 GMT",
"version": "v3"
}
] | 2018-10-02 | [
[
"Özer",
"H. T.",
""
],
[
"Filiz",
"Aytül",
""
]
] | In this paper, we explicitly construct an asymptotic $\mathcal{W}_5$ symmetry algebra of the three-dimensional anti-de Sitter $(AdS_3)$ higher spin gravity. We use an $\mathfrak{sl}(5,R) \oplus \mathfrak{sl}(5,R)$ Lie algebra valued Chern-Simons gauge theory with a negative cosmological constant and its asymptotic symmetry algebra is explicitly calculated as two copies of the classical $\mathcal{W}_5$ algebra with central charge c. Our results can be interpreted as a spin $5$ extension of $AdS_3$ gravity and a proof of how the higher spin Ward identities and as well as the asymptotic $\mathcal{W}_5$ symmetry algebra are derived from the higher spin bulk field equations of motion. This higher spin asymptotic $\mathcal{W}_5$ symmetry algebra contains a finite number of conformal primary spin s: $s\,=\,2,\,3,\,4,\,5.$ We also indicated how to introduce chemical potentials and holonomy conditions associated with these higher spin charges in $AdS_3$ higher spin gravity in a manner that it preserves the asymptotic symmetry algebra. |
hep-th/0406181 | Shinya Tomizawa | Tetsuya Shiromizu, Shinya Tomizawa, Yuki Uchida and Shinji Mukohyama | Kaluza-Klein bubble like structure and celestial sphere in inflationary
universe | 5pages, 4figures, to be published in GRG | Gen.Rel.Grav. 37 (2005) 1823-1831 | 10.1007/s10714-005-0162-4 | null | hep-th | null | We consider five dimensional deSitter spacetimes with a deficit angle due to
the presence of a closed 2-brane and identify one dimension as an extra
dimension. From the four dimensional viewpoint we can see that the spacetime
has a structure similar to a Kaluza-Klein bubble of nothing, that is, four
dimensional spacetime ends at the 2-brane. Since a spatial section of the full
deSitter spacetime has the topology of a sphere, the boundary surface surrounds
the remaining four dimensional spacetime, and can be considered as the
celestial sphere. After the spacetime is created from nothing via an instanton
which we describe, some four dimensional observers in it see the celestial
sphere falling down, and will be in contact with a 2-brane attached on it.
| [
{
"created": "Tue, 22 Jun 2004 02:30:57 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Oct 2004 03:46:14 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Jun 2005 00:03:27 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Shiromizu",
"Tetsuya",
""
],
[
"Tomizawa",
"Shinya",
""
],
[
"Uchida",
"Yuki",
""
],
[
"Mukohyama",
"Shinji",
""
]
] | We consider five dimensional deSitter spacetimes with a deficit angle due to the presence of a closed 2-brane and identify one dimension as an extra dimension. From the four dimensional viewpoint we can see that the spacetime has a structure similar to a Kaluza-Klein bubble of nothing, that is, four dimensional spacetime ends at the 2-brane. Since a spatial section of the full deSitter spacetime has the topology of a sphere, the boundary surface surrounds the remaining four dimensional spacetime, and can be considered as the celestial sphere. After the spacetime is created from nothing via an instanton which we describe, some four dimensional observers in it see the celestial sphere falling down, and will be in contact with a 2-brane attached on it. |
hep-th/9610024 | Y. Lozano | Y. Lozano | Duality and Canonical Transformations | 21 pgs, latex file, talk given at the Argonne Duality Institute, June
27-July 12, 1996, to appear in the e-proceedings | Mod.Phys.Lett.A11:2893-2914,1996 | 10.1142/S0217732396002873 | THU-96/36 | hep-th | null | We present a brief review on the canonical transformation description of some
duality symmetries in string and gauge theories. In particular, we consider
abelian and non-abelian T-dualities in closed and open string theories as well
as S-duality in abelian and non-abelian non-supersymmetric gauge theories.
| [
{
"created": "Fri, 4 Oct 1996 16:27:10 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Lozano",
"Y.",
""
]
] | We present a brief review on the canonical transformation description of some duality symmetries in string and gauge theories. In particular, we consider abelian and non-abelian T-dualities in closed and open string theories as well as S-duality in abelian and non-abelian non-supersymmetric gauge theories. |
hep-th/0408115 | Clovis Wotzasek | Patricio Gaete and Clovis Wotzasek | On condensation of topological defects and confinement | 9 pages, Revtex, no figures. One of us (PG) would like to dedicate
this work to the memory of Jian-Jun Yang; a mispelling of a quoted author is
corrected | Phys.Lett.B601:108-118,2004 | 10.1016/j.physletb.2004.09.020 | null | hep-th | null | We study the static quantum potential for a theory of anti-symmetric tensor
fields that results from the condensation of topological defects, within the
framework of the gauge-invariant but path-dependent variables formalism. Our
calculations show that the interaction energy is the sum of a Yukawa and a
linear potentials, leading to the confinement of static probe charges.
| [
{
"created": "Sat, 14 Aug 2004 12:59:37 GMT",
"version": "v1"
},
{
"created": "Tue, 3 May 2005 02:33:27 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Gaete",
"Patricio",
""
],
[
"Wotzasek",
"Clovis",
""
]
] | We study the static quantum potential for a theory of anti-symmetric tensor fields that results from the condensation of topological defects, within the framework of the gauge-invariant but path-dependent variables formalism. Our calculations show that the interaction energy is the sum of a Yukawa and a linear potentials, leading to the confinement of static probe charges. |
2212.06840 | Jaroslav Trnka | Taro V. Brown, Umut Oktem, Jaroslav Trnka | Poles At Infinity in On-shell Diagrams | 59 pages, 88 figures | null | 10.1007/JHEP02(2023)003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study on-shell diagrams in ${\cal N}{<}4$ supersymmetric
Yang-Mills (SYM) theory. These are on-shell gauge invariant objects which
appear as cuts of loop integrands in the context of generalized unitarity and
serve as building blocks for amplitudes in recursion relations. In the dual
formulation, they are associated with cells of the positive Grassmannian
$G_+(k,n)$ and the on-shell functions can be reproduced as canonical
differential forms. While for the case of the ${\cal N}{=}4$ maximally
supersymmetric Yang-Mills theory all poles in on-shell diagrams correspond to
IR poles when the momentum flows in edges are zero, for ${\cal N}{<}4$ SYM
theories there are new UV poles when the loop momenta go to infinity. These
poles originate from the prefactor of the canonical dlog form and do not
correspond to erasing edges in on-shell diagrams. We show that they can be
interpreted as a diagrammatic operation which involves pinching a loop and
performing a ``non-planar twist'' on external legs, which gives rise to a
non-planar on-shell diagram. Our result provides an important clue on the role
of poles at infinite momenta in on-shell scattering amplitudes, and the
relation to non-planar on-shell functions.
| [
{
"created": "Tue, 13 Dec 2022 19:00:00 GMT",
"version": "v1"
}
] | 2023-02-15 | [
[
"Brown",
"Taro V.",
""
],
[
"Oktem",
"Umut",
""
],
[
"Trnka",
"Jaroslav",
""
]
] | In this paper we study on-shell diagrams in ${\cal N}{<}4$ supersymmetric Yang-Mills (SYM) theory. These are on-shell gauge invariant objects which appear as cuts of loop integrands in the context of generalized unitarity and serve as building blocks for amplitudes in recursion relations. In the dual formulation, they are associated with cells of the positive Grassmannian $G_+(k,n)$ and the on-shell functions can be reproduced as canonical differential forms. While for the case of the ${\cal N}{=}4$ maximally supersymmetric Yang-Mills theory all poles in on-shell diagrams correspond to IR poles when the momentum flows in edges are zero, for ${\cal N}{<}4$ SYM theories there are new UV poles when the loop momenta go to infinity. These poles originate from the prefactor of the canonical dlog form and do not correspond to erasing edges in on-shell diagrams. We show that they can be interpreted as a diagrammatic operation which involves pinching a loop and performing a ``non-planar twist'' on external legs, which gives rise to a non-planar on-shell diagram. Our result provides an important clue on the role of poles at infinite momenta in on-shell scattering amplitudes, and the relation to non-planar on-shell functions. |
0808.2631 | Edmundo M. Monte | M. D. Maia and E. M. Monte | On the Stability of Black Holes at the LHC | 3 pages | J.Phys.Conf.Ser.314:012124,2011 | 10.1088/1742-6596/314/1/012124 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The eventual production of mini black holes by proton-proton collisions at
the LHC is predicted by theories with large extra dimensions resolvable at the
Tev scale of energies. It is expected that these black holes evaporate shortly
after its production as a consequence of the Hawking radiation. We show that
for theories based on the ADS/CFT correspondence, the produced black holes may
have an unstable horizon, which grows proportionally to the square of the
distance to the collision point.
| [
{
"created": "Tue, 19 Aug 2008 18:50:02 GMT",
"version": "v1"
}
] | 2011-09-28 | [
[
"Maia",
"M. D.",
""
],
[
"Monte",
"E. M.",
""
]
] | The eventual production of mini black holes by proton-proton collisions at the LHC is predicted by theories with large extra dimensions resolvable at the Tev scale of energies. It is expected that these black holes evaporate shortly after its production as a consequence of the Hawking radiation. We show that for theories based on the ADS/CFT correspondence, the produced black holes may have an unstable horizon, which grows proportionally to the square of the distance to the collision point. |
0809.4430 | Stefan Groot Nibbelink | Stefan Groot Nibbelink, Filipe Paccetti Correia, Michele Trapletti | Non-Abelian bundles on heterotic non-compact K3 orbifold blowups | 1+32 pages LaTeX, references added, typos corrected | JHEP 0811:044,2008 | 10.1088/1126-6708/2008/11/044 | HD-THEP-08-21, CPHT-RR075.0908, LPT-ORSAY-08-77 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Instantons on Eguchi-Hanson spaces provide explicit examples of stable
bundles on non-compact four dimensional C^2/Z_n orbifold resolutions with
non-Abelian structure groups. With this at hand, we can consider
compactifications of ten dimensional SO(32) supergravity (arising as the low
energy limit of the heterotic string) on the resolved spaces in the presence of
non-Abelian bundles. We provide explicit examples in the resolved C^2/Z_3 case,
and give a complete classification of all possible effective six dimensional
models where the instantons are combined with Abelian gauge fluxes in order to
fulfil the local Bianchi identity constraint. We compare these models with the
corresponding C^2/Z_3 orbifold models, and find that all of these gauge
backgrounds can be related to configurations of vacuum expectation values
(VEV's) of twisted and sometimes untwisted states. Gauge groups and spectra are
identical from both the orbifold and the smooth bundle perspectives.
| [
{
"created": "Thu, 25 Sep 2008 15:23:00 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Oct 2008 13:34:53 GMT",
"version": "v2"
}
] | 2011-10-11 | [
[
"Nibbelink",
"Stefan Groot",
""
],
[
"Correia",
"Filipe Paccetti",
""
],
[
"Trapletti",
"Michele",
""
]
] | Instantons on Eguchi-Hanson spaces provide explicit examples of stable bundles on non-compact four dimensional C^2/Z_n orbifold resolutions with non-Abelian structure groups. With this at hand, we can consider compactifications of ten dimensional SO(32) supergravity (arising as the low energy limit of the heterotic string) on the resolved spaces in the presence of non-Abelian bundles. We provide explicit examples in the resolved C^2/Z_3 case, and give a complete classification of all possible effective six dimensional models where the instantons are combined with Abelian gauge fluxes in order to fulfil the local Bianchi identity constraint. We compare these models with the corresponding C^2/Z_3 orbifold models, and find that all of these gauge backgrounds can be related to configurations of vacuum expectation values (VEV's) of twisted and sometimes untwisted states. Gauge groups and spectra are identical from both the orbifold and the smooth bundle perspectives. |
1407.2835 | Matthew Buican | Matthew Buican, Takahiro Nishinaka, and Constantinos Papageorgakis | Constraints on Chiral Operators in N=2 SCFTs | 1+40 pages; version 3: reference added; footnote with additional
details regarding OPE of exotic operators; to appear in JHEP; results
unchanged | null | 10.1007/JHEP12(2014)095 | RU-NHETC-2014-12; QMUL-PH-14-15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study certain higher-spin chiral operators in N=2 superconformal field
theories (SCFTs). In Lagrangian theories, or in theories related to Lagrangian
theories by generalized Argyres-Seiberg-Gaiotto duality ("type A" theories in
our classification), we give a simple superconformal representation theory
proof that such operators do not exist. This argument is independent of the
details of the superconformal index. We then use the index to show that if a
theory is not of type A but has an N=2-preserving deformation by a relevant
operator that takes it to a theory of this type in the infrared, the
ultraviolet theory cannot have these higher-spin operators either. As an
application of this discussion, we give a simple prescription to extract the
2a-c conformal anomaly directly from the superconformal index. We also comment
on how this procedure works in the holographic limit.
| [
{
"created": "Thu, 10 Jul 2014 15:52:47 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2014 16:58:55 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2014 08:57:07 GMT",
"version": "v3"
}
] | 2015-06-22 | [
[
"Buican",
"Matthew",
""
],
[
"Nishinaka",
"Takahiro",
""
],
[
"Papageorgakis",
"Constantinos",
""
]
] | We study certain higher-spin chiral operators in N=2 superconformal field theories (SCFTs). In Lagrangian theories, or in theories related to Lagrangian theories by generalized Argyres-Seiberg-Gaiotto duality ("type A" theories in our classification), we give a simple superconformal representation theory proof that such operators do not exist. This argument is independent of the details of the superconformal index. We then use the index to show that if a theory is not of type A but has an N=2-preserving deformation by a relevant operator that takes it to a theory of this type in the infrared, the ultraviolet theory cannot have these higher-spin operators either. As an application of this discussion, we give a simple prescription to extract the 2a-c conformal anomaly directly from the superconformal index. We also comment on how this procedure works in the holographic limit. |
2007.05476 | Jan E. Gerken | Jan E. Gerken | Basis Decompositions and a Mathematica Package for Modular Graph Forms | 75+27 pages. Submission includes a Mathematica package and text files
with basis decompositions in the ancillary files | null | 10.1088/1751-8121/abbdf2 | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Modular graph forms (MGFs) are a class of non-holomorphic modular forms which
naturally appear in the low-energy expansion of closed-string genus-one
amplitudes and have generated considerable interest from pure mathematicians.
MGFs satisfy numerous non-trivial algebraic- and differential relations which
have been studied extensively in the literature and lead to significant
simplifications. In this paper, we systematically combine these relations to
obtain basis decompositions of all two- and three-point MGFs of total modular
weight $w+\bar{w}\leq12$, starting from just two well-known identities for
banana graphs. Furthermore, we study previously known relations in the integral
representation of MGFs, leading to a new understanding of holomorphic subgraph
reduction as Fay identities of Kronecker--Eisenstein series and opening the
door towards decomposing divergent graphs. We provide a computer implementation
for the manipulation of MGFs in the form of the $\texttt{Mathematica}$ package
$\texttt{ModularGraphForms}$ which includes the basis decompositions obtained.
| [
{
"created": "Fri, 10 Jul 2020 16:51:41 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 2020 14:35:11 GMT",
"version": "v2"
}
] | 2021-05-26 | [
[
"Gerken",
"Jan E.",
""
]
] | Modular graph forms (MGFs) are a class of non-holomorphic modular forms which naturally appear in the low-energy expansion of closed-string genus-one amplitudes and have generated considerable interest from pure mathematicians. MGFs satisfy numerous non-trivial algebraic- and differential relations which have been studied extensively in the literature and lead to significant simplifications. In this paper, we systematically combine these relations to obtain basis decompositions of all two- and three-point MGFs of total modular weight $w+\bar{w}\leq12$, starting from just two well-known identities for banana graphs. Furthermore, we study previously known relations in the integral representation of MGFs, leading to a new understanding of holomorphic subgraph reduction as Fay identities of Kronecker--Eisenstein series and opening the door towards decomposing divergent graphs. We provide a computer implementation for the manipulation of MGFs in the form of the $\texttt{Mathematica}$ package $\texttt{ModularGraphForms}$ which includes the basis decompositions obtained. |
1904.05889 | Marc de Montigny | Mansoureh Hosseinpour, Hassan Hassanabadi, Marc de Montigny | The Dirac oscillator in a spinning cosmic string spacetime | 12 pages, 3 figures | Eur. Phys. J. C 79 (2019) 311(7pp) | 10.1140/epjc/s10052-019-6830-4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the effects of gravitational fields produced by topological
defects on a Dirac field and a Dirac oscillator in a spinning cosmic string
spacetime. We obtain the eigenfunctions and the energy levels of the
relativistic field in that background and consider the effect of various
parameters, such as the frequency of the rotating frame, the oscillator's
frequency, the string density and other quantum numbers.
| [
{
"created": "Thu, 11 Apr 2019 17:12:52 GMT",
"version": "v1"
}
] | 2019-04-15 | [
[
"Hosseinpour",
"Mansoureh",
""
],
[
"Hassanabadi",
"Hassan",
""
],
[
"de Montigny",
"Marc",
""
]
] | We examine the effects of gravitational fields produced by topological defects on a Dirac field and a Dirac oscillator in a spinning cosmic string spacetime. We obtain the eigenfunctions and the energy levels of the relativistic field in that background and consider the effect of various parameters, such as the frequency of the rotating frame, the oscillator's frequency, the string density and other quantum numbers. |
hep-th/9510064 | null | J. M. Isidro, J. P. Nunes, H. J. Schnitzer | BF Theories and Group-Level Duality | null | Nucl.Phys. B465 (1996) 315-328 | 10.1016/0550-3213(96)00053-3 | BRX-TH-383, US-FT-25-95 | hep-th | null | It is known that the partition function and correlators of the
two-dimensional topological field theory $G_K(N)/ G_K(N)$ on the Riemann
surface $\Sigma_{g,s}$ is given by Verlinde numbers, dim($V_{g,s,K}$) and that
the large $K$ limit of dim($V_{g,s,K}$) gives Vol(${\cal M}_s$), the volume of
the moduli space of flat connections of gauge group $G(N)$ on $\Sigma_{g,s}$,
up to a power of $K$. Given this relationship, we complete the computation of
Vol(${\cal M}_s$) using only algebraic results from conformal field theory. The
group-level duality of $G(N)_K$ is used to show that if $G(N)$ is a classical
group, then $\displaystyle \lim_{N\rightarrow \infty} G_K(N) / G_K(N)$ is a BF
theory with gauge group $G(K)$. Therefore this limit computes Vol(${\cal
M}^\prime_s$), the volume of the moduli space of flat connections of gauge
group $G(K)$.
| [
{
"created": "Tue, 10 Oct 1995 20:56:39 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Isidro",
"J. M.",
""
],
[
"Nunes",
"J. P.",
""
],
[
"Schnitzer",
"H. J.",
""
]
] | It is known that the partition function and correlators of the two-dimensional topological field theory $G_K(N)/ G_K(N)$ on the Riemann surface $\Sigma_{g,s}$ is given by Verlinde numbers, dim($V_{g,s,K}$) and that the large $K$ limit of dim($V_{g,s,K}$) gives Vol(${\cal M}_s$), the volume of the moduli space of flat connections of gauge group $G(N)$ on $\Sigma_{g,s}$, up to a power of $K$. Given this relationship, we complete the computation of Vol(${\cal M}_s$) using only algebraic results from conformal field theory. The group-level duality of $G(N)_K$ is used to show that if $G(N)$ is a classical group, then $\displaystyle \lim_{N\rightarrow \infty} G_K(N) / G_K(N)$ is a BF theory with gauge group $G(K)$. Therefore this limit computes Vol(${\cal M}^\prime_s$), the volume of the moduli space of flat connections of gauge group $G(K)$. |
hep-th/0008187 | K. V. Shajesh | K. V. Shajesh | Effective Lagrangian for the pseudoscalars interacting with photons in
the presence of a background electromagnetic field | 18 pages | null | null | null | hep-th hep-ph | null | We attempt to evaluate the effective Lagrangian for a classical background
field interacting with the vacuum of two quantum fields. The integration of one
of the quantum fields in general leads to a non-local term in the effective
Lagrangian and thus becomes intractable during the integration of the other
quantum field. We show that $\phi F \tilde{K}$ interaction is an exception. We
present the complete calculation for the evaluation of the effective Lagrangian
for a pseudoscalar field interacting with photons in the presence of a
background electromagnetic field. Expression for the probability of the vacuum
breaking down into a pseudoscalar-photon pair is evaluated. We conclude that
the gradient of an electric field beyond a certain threshold can give rise to
pseudoscalar-photon pair production.
| [
{
"created": "Thu, 24 Aug 2000 08:38:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shajesh",
"K. V.",
""
]
] | We attempt to evaluate the effective Lagrangian for a classical background field interacting with the vacuum of two quantum fields. The integration of one of the quantum fields in general leads to a non-local term in the effective Lagrangian and thus becomes intractable during the integration of the other quantum field. We show that $\phi F \tilde{K}$ interaction is an exception. We present the complete calculation for the evaluation of the effective Lagrangian for a pseudoscalar field interacting with photons in the presence of a background electromagnetic field. Expression for the probability of the vacuum breaking down into a pseudoscalar-photon pair is evaluated. We conclude that the gradient of an electric field beyond a certain threshold can give rise to pseudoscalar-photon pair production. |
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