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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1409.6017 | Emil J. Martinec | Emil J. Martinec | The Cheshire Cap | 64 pages, 8 figures. Version 2: References added, together with
substantial elaborations and clarifications | JHEP 1503 (2015) 112 | 10.1007/JHEP03(2015)112 | EFI-14-31 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A key role in black hole dynamics is played by the inner horizon; most of the
entropy of a slightly nonextremal charged or rotating black hole is carried
there, and the covariant entropy bound suggests that the rest lies in the
region between the inner and outer horizon. An attempt to match this onto
results of the microstate geometries program suggests that a `Higgs branch' of
underlying long string states of the configuration space realizes the degrees
of freedom on the inner horizon, while the `Coulomb branch' describes the
inter-horizon region and beyond. Support for this proposal comes from an
analysis of the way singularities develop in microstate geometries, and their
close analogy to corresponding structures in fivebrane dynamics. These
singularities signal the opening up of the long string degrees of freedom of
the theory, which are partly visible from the geometry side. A conjectural
picture of the black hole interior is proposed, wherein the long string degrees
of freedom resolve the geometrical singularity on the inner horizon, yet are
sufficiently nonlocal to communicate information to the outer horizon and
beyond.
| [
{
"created": "Sun, 21 Sep 2014 17:16:46 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Oct 2014 02:55:38 GMT",
"version": "v2"
}
] | 2015-09-04 | [
[
"Martinec",
"Emil J.",
""
]
] | A key role in black hole dynamics is played by the inner horizon; most of the entropy of a slightly nonextremal charged or rotating black hole is carried there, and the covariant entropy bound suggests that the rest lies in the region between the inner and outer horizon. An attempt to match this onto results of the microstate geometries program suggests that a `Higgs branch' of underlying long string states of the configuration space realizes the degrees of freedom on the inner horizon, while the `Coulomb branch' describes the inter-horizon region and beyond. Support for this proposal comes from an analysis of the way singularities develop in microstate geometries, and their close analogy to corresponding structures in fivebrane dynamics. These singularities signal the opening up of the long string degrees of freedom of the theory, which are partly visible from the geometry side. A conjectural picture of the black hole interior is proposed, wherein the long string degrees of freedom resolve the geometrical singularity on the inner horizon, yet are sufficiently nonlocal to communicate information to the outer horizon and beyond. |
hep-th/0107189 | Yasuaki Hikida | Yasuaki Hikida and Yuji Sugawara | Boundary States of D-branes in AdS_3 Based on Discrete Series | 27 pages, latex, no figures, v2: we discuss on the single cover of
AdS_3 rather than the universal cover, reference added, v3: Appendix B and
reference added | Prog.Theor.Phys.107:1245-1266,2002 | 10.1143/PTP.107.1245 | UT-952 | hep-th | null | We study D-branes in the Lorentzian AdS_3 background from the viewpoint of
boundary states, emphasizing the role of open-closed duality in string theory.
Employing the world sheet with Lorentzian signature, we construct the Cardy
states with the discrete series. We show that they are compatible with (1)
unitarity and normalizability, and (2) the spectral flow symmetry, in the open
string spectrum. We also discuss their brane interpretation. We further show
that in the case of superstrings on AdS_3 x S^3 x T^4, our Cardy states yield
an infinite number of physical BPS states in the open string channel, on which
the spectral flows act consistently.
| [
{
"created": "Mon, 23 Jul 2001 08:51:38 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Aug 2001 13:17:04 GMT",
"version": "v2"
},
{
"created": "Tue, 14 May 2002 11:07:08 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Hikida",
"Yasuaki",
""
],
[
"Sugawara",
"Yuji",
""
]
] | We study D-branes in the Lorentzian AdS_3 background from the viewpoint of boundary states, emphasizing the role of open-closed duality in string theory. Employing the world sheet with Lorentzian signature, we construct the Cardy states with the discrete series. We show that they are compatible with (1) unitarity and normalizability, and (2) the spectral flow symmetry, in the open string spectrum. We also discuss their brane interpretation. We further show that in the case of superstrings on AdS_3 x S^3 x T^4, our Cardy states yield an infinite number of physical BPS states in the open string channel, on which the spectral flows act consistently. |
1404.3398 | Sayantan Choudhury | Sayantan Choudhury, Anupam Mazumdar | Sub-Planckian inflation & large tensor to scalar ratio with $r\geq 0.1$ | 6 pages, 1 figure, Comment on arXiv:1404.1821 [hep-ph]. Computational
error corrected in Eq(7). But conclusion remains unchanged as it completely
nullifies the added claim of arXiv:1404.1821 [hep-ph] | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We categorically point out why the analysis of arXiv:1404.1821 [hep-ph] is
incorrect. Here we explicitly show why the sub-Planckian field excursion of the
inflaton field can yield large observable tensor-to-scalar ratio, which
satisfies both Planck and BICEP constraints.
| [
{
"created": "Sun, 13 Apr 2014 16:15:49 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Apr 2014 10:36:17 GMT",
"version": "v2"
}
] | 2014-04-21 | [
[
"Choudhury",
"Sayantan",
""
],
[
"Mazumdar",
"Anupam",
""
]
] | We categorically point out why the analysis of arXiv:1404.1821 [hep-ph] is incorrect. Here we explicitly show why the sub-Planckian field excursion of the inflaton field can yield large observable tensor-to-scalar ratio, which satisfies both Planck and BICEP constraints. |
1505.07460 | Yasuyuki Hatsuda | Yasuyuki Hatsuda, Kazumi Okuyama | Resummations and Non-Perturbative Corrections | 25 pages, 8 figures, v2: published version | null | null | DESY 15-079 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a generalization of the Borel resummation, which turns out to be
equivalent to the standard Borel resummation. We apply it to the simplest large
N duality between the pure Chern-Simons theory and the topological string on
the resolved conifold, and find a simple integral formula for the free energy.
Expanding this integral representation around the large radius point at finite
string coupling gs, we find that it includes not only the M-theoretic
resummation a la Gopakumar and Vafa, but also a non-perturbative correction in
gs. Remarkably, the obtained non-perturbative correction is in perfect
agreement with a proposal for membrane instanton corrections in
arXiv:1306.1734. Various other examples are also presented.
| [
{
"created": "Wed, 27 May 2015 20:00:45 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jun 2016 10:27:04 GMT",
"version": "v2"
}
] | 2016-06-07 | [
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Okuyama",
"Kazumi",
""
]
] | We consider a generalization of the Borel resummation, which turns out to be equivalent to the standard Borel resummation. We apply it to the simplest large N duality between the pure Chern-Simons theory and the topological string on the resolved conifold, and find a simple integral formula for the free energy. Expanding this integral representation around the large radius point at finite string coupling gs, we find that it includes not only the M-theoretic resummation a la Gopakumar and Vafa, but also a non-perturbative correction in gs. Remarkably, the obtained non-perturbative correction is in perfect agreement with a proposal for membrane instanton corrections in arXiv:1306.1734. Various other examples are also presented. |
2306.01051 | Alexios P. Polychronakos | Alexios P. Polychronakos and Konstantinos Sfetsos | Ferromagnetic phase transitions in $SU(N)$ | 52 pages, 17 figures; version published in NPB with additional
discussion and references | Nucl. Phys. B 996 (2023) 116353 | null | CERN-TH-2023-086 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamics of a non-abelian ferromagnet consisting of
"atoms" each carrying a fundamental representation of $SU(N)$, coupled with
long-range two-body quadratic interactions. We uncover a rich structure of
phase transitions from non-magnetized, global $SU(N)$-invariant states to
magnetized ones breaking global invariance to $SU(N-1) \times U(1)$. Phases can
coexist, one being stable and the other metastable, and the transition between
states involves latent heat exchange, unlike in usual $SU(2)$ ferromagnets.
Coupling the system to an external non-abelian magnetic field further enriches
the phase structure, leading to additional phases. The system manifests
hysteresis phenomena both in the magnetic field, as in usual ferromagnets, and
in the temperature, in analogy to supercooled water. Potential applications are
in fundamental situations or as a phenomenological model.
| [
{
"created": "Thu, 1 Jun 2023 18:00:11 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2023 18:11:17 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Oct 2023 18:03:31 GMT",
"version": "v3"
}
] | 2023-10-26 | [
[
"Polychronakos",
"Alexios P.",
""
],
[
"Sfetsos",
"Konstantinos",
""
]
] | We study the thermodynamics of a non-abelian ferromagnet consisting of "atoms" each carrying a fundamental representation of $SU(N)$, coupled with long-range two-body quadratic interactions. We uncover a rich structure of phase transitions from non-magnetized, global $SU(N)$-invariant states to magnetized ones breaking global invariance to $SU(N-1) \times U(1)$. Phases can coexist, one being stable and the other metastable, and the transition between states involves latent heat exchange, unlike in usual $SU(2)$ ferromagnets. Coupling the system to an external non-abelian magnetic field further enriches the phase structure, leading to additional phases. The system manifests hysteresis phenomena both in the magnetic field, as in usual ferromagnets, and in the temperature, in analogy to supercooled water. Potential applications are in fundamental situations or as a phenomenological model. |
hep-th/0204046 | Wen-Fa Lu | Wen-Fa Lu, Chul Koo Kim and Kyun Nahm | Optimized Rayleigh-Schr\"{o}dinger Expansion of the Effective Potential | Revtex, 8 pages, no figures, revised version with literal changes | Phys.Lett. B540 (2002) 309-318 | 10.1016/S0370-2693(02)02140-8 | null | hep-th | null | An optimized Rayleigh-Schr\"{o}dinger expansion scheme of solving the
functional Schr\"odinger equation with an external source is proposed to
calculate the effective potential beyond the Gaussian approximation. For a
scalar field theory whose potential function has a Fourier representation in a
sense of tempered distributions, we obtain the effective potential up to the
second order, and show that the first-order result is just the Gaussian
effective potential. Its application to the $\lambda\phi^4$ field theory yields
the same post-Gaussian effective potential as obtained in the functional
integral formalism.
| [
{
"created": "Thu, 4 Apr 2002 15:15:45 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2002 16:21:06 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Lu",
"Wen-Fa",
""
],
[
"Kim",
"Chul Koo",
""
],
[
"Nahm",
"Kyun",
""
]
] | An optimized Rayleigh-Schr\"{o}dinger expansion scheme of solving the functional Schr\"odinger equation with an external source is proposed to calculate the effective potential beyond the Gaussian approximation. For a scalar field theory whose potential function has a Fourier representation in a sense of tempered distributions, we obtain the effective potential up to the second order, and show that the first-order result is just the Gaussian effective potential. Its application to the $\lambda\phi^4$ field theory yields the same post-Gaussian effective potential as obtained in the functional integral formalism. |
1210.5197 | Jay Armas | Jay Armas, Niels A. Obers | Relativistic Elasticity of Stationary Fluid Branes | v1: 20 pages | Phys.Rev. D87 (2013) 044058 | 10.1103/PhysRevD.87.044058 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fluid mechanics can be formulated on dynamical surfaces of arbitrary
co-dimension embedded in a background space-time. This has been the main object
of study of the blackfold approach in which the emphasis has primarily been on
stationary fluid configurations. Motivated by this approach we show under
certain conditions that a given stationary fluid configuration living on a
dynamical surface of vanishing thickness and satisfying locally the first law
of thermodynamics will behave like an elastic brane when the surface is subject
to small deformations. These results, which are independent of the number of
space-time dimensions and of the fluid arising from a gravitational dual,
reveal the (electro)elastic character of (charged) black branes when
considering extrinsic perturbations.
| [
{
"created": "Thu, 18 Oct 2012 17:32:36 GMT",
"version": "v1"
}
] | 2014-12-23 | [
[
"Armas",
"Jay",
""
],
[
"Obers",
"Niels A.",
""
]
] | Fluid mechanics can be formulated on dynamical surfaces of arbitrary co-dimension embedded in a background space-time. This has been the main object of study of the blackfold approach in which the emphasis has primarily been on stationary fluid configurations. Motivated by this approach we show under certain conditions that a given stationary fluid configuration living on a dynamical surface of vanishing thickness and satisfying locally the first law of thermodynamics will behave like an elastic brane when the surface is subject to small deformations. These results, which are independent of the number of space-time dimensions and of the fluid arising from a gravitational dual, reveal the (electro)elastic character of (charged) black branes when considering extrinsic perturbations. |
hep-th/9512063 | Jose L. Fernandez-Barbon | J.L.F. Barbon and S. Ramgoolam | Some properties of unstable monopoles in Super-QCD | 15 pages. harvmac | Phys.Rev. D55 (1997) 1013-1020 | 10.1103/PhysRevD.55.1013 | PUPT-95-1580 | hep-th | null | We study embeddings of the Prasad-Sommerfield monopole solution in SU(N)
Super-QCD (N>2), where the role of the Higgs field is played by the squarks in
the fundamental representation. Classically, the resulting configurations live
in a phase with unbroken SU(k) subgroups of SU(N) (as a result they are not
topologically stable). The structure of zero modes is such that they can be
naturally interpreted as massive chiral superfields with R charge one and
baryon number zero, transforming in the adjoint representation of a dual gauge
group defined using the Goddard-Nuyts-Olive (GNO) framework. We discuss the
possible applications of these monopoles to N=1 duality, and more generally the
possibility of relating GNO-type dual gauge groups to those appearing in N=1
duality.
| [
{
"created": "Mon, 11 Dec 1995 03:03:03 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Barbon",
"J. L. F.",
""
],
[
"Ramgoolam",
"S.",
""
]
] | We study embeddings of the Prasad-Sommerfield monopole solution in SU(N) Super-QCD (N>2), where the role of the Higgs field is played by the squarks in the fundamental representation. Classically, the resulting configurations live in a phase with unbroken SU(k) subgroups of SU(N) (as a result they are not topologically stable). The structure of zero modes is such that they can be naturally interpreted as massive chiral superfields with R charge one and baryon number zero, transforming in the adjoint representation of a dual gauge group defined using the Goddard-Nuyts-Olive (GNO) framework. We discuss the possible applications of these monopoles to N=1 duality, and more generally the possibility of relating GNO-type dual gauge groups to those appearing in N=1 duality. |
hep-th/0006032 | Alexei Deriglazov | A.A. Deriglazov | String action with multiplet of $\Theta$-terms and the hidden Poincare
symmetry | 14 pages, LaTex file, Minor corrections | Nucl.Phys. B597 (2001) 299-309 | 10.1016/S0550-3213(00)00724-0 | null | hep-th | null | We study string action with multiplet of $\Theta$-terms added, which turns
out to be closely related with the bosonic sector of D=11 superstring action
[3,4]. Alternatively, the model can be considered as describing class of
special solutions of the membrane. An appropriate set of variables is find, in
which the light-cone quantization turns out to be possible. It is shown that
anomaly terms in the algebra of the light-cone Poincare generators are absent
for the case D=27.
| [
{
"created": "Mon, 5 Jun 2000 14:47:11 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jun 2000 14:21:21 GMT",
"version": "v2"
},
{
"created": "Sun, 10 Sep 2000 21:30:00 GMT",
"version": "v3"
},
{
"created": "Sat, 27 Jan 2001 19:18:27 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Deriglazov",
"A. A.",
""
]
] | We study string action with multiplet of $\Theta$-terms added, which turns out to be closely related with the bosonic sector of D=11 superstring action [3,4]. Alternatively, the model can be considered as describing class of special solutions of the membrane. An appropriate set of variables is find, in which the light-cone quantization turns out to be possible. It is shown that anomaly terms in the algebra of the light-cone Poincare generators are absent for the case D=27. |
hep-th/9404139 | Philip Gibbs | P. E. Gibbs | Models on Event Symmetric Space-Time | 14 pages, Tex , PEG-01-94 | null | null | null | hep-th | null | In the event symmetric approach to quantum gravity it is assumed that the
fundamental laws of physics must be invariant under exchange of any two
space-time events. The fact that this symmetry if obviously not observed is
attributed to the possibility of a spontaneous symmetry breaking mechanism in
which the residual symmetry is diffeomorphism invariance on a continuum. The
approach has a discrete nature while dimensionality, continuity of space-time
and causality are abandoned as fundamental principles. Consequently space-time
is a dynamical object which may undergo changes of topology or dimension. A
number of different types of Event Symmetric model are described. The most
interesting models are event symmetric superstring models based on discrete
string supergroups.
| [
{
"created": "Fri, 22 Apr 1994 09:18:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gibbs",
"P. E.",
""
]
] | In the event symmetric approach to quantum gravity it is assumed that the fundamental laws of physics must be invariant under exchange of any two space-time events. The fact that this symmetry if obviously not observed is attributed to the possibility of a spontaneous symmetry breaking mechanism in which the residual symmetry is diffeomorphism invariance on a continuum. The approach has a discrete nature while dimensionality, continuity of space-time and causality are abandoned as fundamental principles. Consequently space-time is a dynamical object which may undergo changes of topology or dimension. A number of different types of Event Symmetric model are described. The most interesting models are event symmetric superstring models based on discrete string supergroups. |
hep-th/0411014 | Kluson Josef | J. Kluson | Non-BPS Dp-Brane in the Background of NS5-Branes on Transverse R^3xS^1 | 15 pages | JHEP0503:032,2005 | 10.1088/1126-6708/2005/03/032 | null | hep-th | null | This paper is devoted to the study of non-BPS Dp-branes in the presence of
NS5-branes on transverse R^3xS^1.We will formulate the tachyon effective action
in this background and then we will discuss its properties. Then we will study
the solutions of the equations of motion that describe lower dimensional BPS
and non-BPS D-branes.
| [
{
"created": "Mon, 1 Nov 2004 07:01:28 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kluson",
"J.",
""
]
] | This paper is devoted to the study of non-BPS Dp-branes in the presence of NS5-branes on transverse R^3xS^1.We will formulate the tachyon effective action in this background and then we will discuss its properties. Then we will study the solutions of the equations of motion that describe lower dimensional BPS and non-BPS D-branes. |
hep-th/0002157 | Konstantin G. Savvidy | Troels Harmark and Konstantin G. Savvidy (The Niels Bohr Institute) | Ramond-Ramond Field Radiation from Rotating Ellipsoidal Membranes | 25 pages, 1 eps figure, LaTeX, v2: Minor corrections, refs. added | Nucl.Phys. B585 (2000) 567-588 | 10.1016/S0550-3213(00)00333-3 | NBI-HE-00-06 | hep-th | null | We find a new stable rotator solution in D0-brane matrix mechanics. The
solution is interpreted as a D2/D0 brane bound state, constructed as a
transversely rotating ellipsoidal membrane with N D0-branes pinned over it.
From the membrane point of view the attractive force of tension is exactly
cancelled by the repulsive centrifugal force. Dynamical properties of the
system are investigated, in particular the emission of spherical waves in the
different massless sectors of supergravity. We compute the RR 1-form
quadrupole, the RR 3-form dipole and the gravitational quadrupole radiation.
Also, we show that our non-singular classical solution is stable against small
perturbations in the initial conditions. Furthermore, we comment on a possible
fundamental particle interpretation of our system.
| [
{
"created": "Fri, 18 Feb 2000 17:21:53 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Oct 2000 15:24:15 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Harmark",
"Troels",
"",
"The Niels Bohr Institute"
],
[
"Savvidy",
"Konstantin G.",
"",
"The Niels Bohr Institute"
]
] | We find a new stable rotator solution in D0-brane matrix mechanics. The solution is interpreted as a D2/D0 brane bound state, constructed as a transversely rotating ellipsoidal membrane with N D0-branes pinned over it. From the membrane point of view the attractive force of tension is exactly cancelled by the repulsive centrifugal force. Dynamical properties of the system are investigated, in particular the emission of spherical waves in the different massless sectors of supergravity. We compute the RR 1-form quadrupole, the RR 3-form dipole and the gravitational quadrupole radiation. Also, we show that our non-singular classical solution is stable against small perturbations in the initial conditions. Furthermore, we comment on a possible fundamental particle interpretation of our system. |
1808.05040 | Joseph Conlon | Joseph P. Conlon | The de Sitter swampland conjecture and supersymmetric AdS vacua | Prepared for submission to Int. Journ. Mod. Phys. A; v2. added
references and more discussion | null | 10.1142/S0217751X18501786 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been conjectured that string theory does not admit de Sitter
critical points. This note points out that in several cases, including KKLT or
racetrack models, this statement is equivalent to the absence of supersymmetric
Minkowski or AdS solutions. This equivalence arises from establishing the
positivity of the potential in a large-radius limit, requiring a turnover of
the potential before reaching an AdS vacuum. For example, this conjecture is
incompatible with the simplest 1-modulus KKLT AdS supersymmetric solution.
| [
{
"created": "Wed, 15 Aug 2018 11:18:38 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2018 11:46:42 GMT",
"version": "v2"
}
] | 2018-11-14 | [
[
"Conlon",
"Joseph P.",
""
]
] | It has recently been conjectured that string theory does not admit de Sitter critical points. This note points out that in several cases, including KKLT or racetrack models, this statement is equivalent to the absence of supersymmetric Minkowski or AdS solutions. This equivalence arises from establishing the positivity of the potential in a large-radius limit, requiring a turnover of the potential before reaching an AdS vacuum. For example, this conjecture is incompatible with the simplest 1-modulus KKLT AdS supersymmetric solution. |
1409.6751 | Thijs van den Broek | Thijs van den Broek | Supersymmetry and the Spectral Action. On a geometrical interpretation
of the MSSM | PhD thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This PhD thesis aims at combining the framework of noncommutative geometry
and supersymmetry. A particular class of non-commutative geometries called
almost-commutative geometries can be used to describe particle theories. This
thesis contains a systematic search for such almost-commutative geometries
whose corresponding spectral action exhibits supersymmetry. Chapter 2 discusses
extensions of the Standard Model in the context of noncommutative geometry in
general. In Chapter three a framework is developed to build and analyze
potential supersymmetric theories. Chapter 4 covers supersymmetry breaking
mechanisms in this context. Finally, the approach of Chapter three is applied
to what is to yield the non-commutative version of the MSSM in Chapter 5.
| [
{
"created": "Tue, 23 Sep 2014 20:43:41 GMT",
"version": "v1"
}
] | 2014-09-25 | [
[
"Broek",
"Thijs van den",
""
]
] | This PhD thesis aims at combining the framework of noncommutative geometry and supersymmetry. A particular class of non-commutative geometries called almost-commutative geometries can be used to describe particle theories. This thesis contains a systematic search for such almost-commutative geometries whose corresponding spectral action exhibits supersymmetry. Chapter 2 discusses extensions of the Standard Model in the context of noncommutative geometry in general. In Chapter three a framework is developed to build and analyze potential supersymmetric theories. Chapter 4 covers supersymmetry breaking mechanisms in this context. Finally, the approach of Chapter three is applied to what is to yield the non-commutative version of the MSSM in Chapter 5. |
hep-th/0701010 | Yu-Xiao Liu | Yu-Xiao Liu, Li Zhao, Yi-Shi Duan | Localization of Fermions on a String-like Defect | Latex, 13 pages; V2: two references added; v3: 14 pages with some
changes; v4: two references (wrongly deleted in the 3nd version) added Latex,
14 pages, accepted by JHEP; V5: published version | JHEP 0704:097,2007 | 10.1088/1126-6708/2007/04/097 | null | hep-th | null | We study localization of bulk fermions on a string-like defect with the
exponentially decreasing warp factor in six dimensions with inclusion of U(1)
gauge background from the viewpoint of field theory, and give the conditions
under which localized spin 1/2 and 3/2 fermions can be obtained.
| [
{
"created": "Mon, 1 Jan 2007 09:02:42 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Jan 2007 02:45:51 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jan 2007 14:04:36 GMT",
"version": "v3"
},
{
"created": "Sat, 27 Jan 2007 03:18:16 GMT",
"version": "v4"
},
{
"created": "Wed, 18 Apr 2007 09:23:13 GMT",
"version": "v5"
},
{
"created": "Thu, 3 May 2007 12:28:56 GMT",
"version": "v6"
}
] | 2009-11-13 | [
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhao",
"Li",
""
],
[
"Duan",
"Yi-Shi",
""
]
] | We study localization of bulk fermions on a string-like defect with the exponentially decreasing warp factor in six dimensions with inclusion of U(1) gauge background from the viewpoint of field theory, and give the conditions under which localized spin 1/2 and 3/2 fermions can be obtained. |
0708.2463 | Takao Suyama | H. Kawai, T. Suyama | Some Implications of Perturbative Approach to AdS/CFT Correspondence | 14 pages, 5 figures, references added, discussions on IR
regularization clarified | Nucl. Phys.B794:1-12, 2008 | 10.1016/j.nuclphysb.2007.10.016 | KUNS-2089 | hep-th | null | We show some implications of the approach to AdS/CFT correspondence based on
Type IIB string in the flat space-time with D3-branes proposed in our previous
paper. We discuss a correspondence for high energy scattering amplitudes of N=4
super-Yang-Mills proposed recently. We also discuss AdS/CFT correspondence at
finite temperature. Our approach provides clear understanding of these issues.
| [
{
"created": "Sat, 18 Aug 2007 05:05:41 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Sep 2007 01:58:45 GMT",
"version": "v2"
}
] | 2009-06-11 | [
[
"Kawai",
"H.",
""
],
[
"Suyama",
"T.",
""
]
] | We show some implications of the approach to AdS/CFT correspondence based on Type IIB string in the flat space-time with D3-branes proposed in our previous paper. We discuss a correspondence for high energy scattering amplitudes of N=4 super-Yang-Mills proposed recently. We also discuss AdS/CFT correspondence at finite temperature. Our approach provides clear understanding of these issues. |
1411.5073 | Marcio Capri | M A L Capri, D Fiorentini, S P Sorella | Study of the all orders multiplicative renormalizability of a local
confining quark action in the Landau gauge | 17 pages | null | 10.1016/j.aop.2015.03.006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The inverse of the Faddeev-Popov operator plays a pivotal role within the
Gribov-Zwanziger approach to the quantization of Euclidean Yang-Mills theories
in Landau gauge. Following a recent proposal [Phys. Rev. D90 (2014) 085010], we
show that the inverse of the Faddeev-Popov operator can be consistently coupled
to quark fields. Such a coupling gives rise to a local action while reproducing
the behaviour of the quark propagator observed in lattice numerical simulations
in the non-perturbative infrared region. By using the algebraic renormalization
framework, we prove that the aforementioned local action is multiplicatively
renormalizable to all orders.
| [
{
"created": "Tue, 18 Nov 2014 23:48:36 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Capri",
"M A L",
""
],
[
"Fiorentini",
"D",
""
],
[
"Sorella",
"S P",
""
]
] | The inverse of the Faddeev-Popov operator plays a pivotal role within the Gribov-Zwanziger approach to the quantization of Euclidean Yang-Mills theories in Landau gauge. Following a recent proposal [Phys. Rev. D90 (2014) 085010], we show that the inverse of the Faddeev-Popov operator can be consistently coupled to quark fields. Such a coupling gives rise to a local action while reproducing the behaviour of the quark propagator observed in lattice numerical simulations in the non-perturbative infrared region. By using the algebraic renormalization framework, we prove that the aforementioned local action is multiplicatively renormalizable to all orders. |
1307.1734 | Lucas Sourrouille Mr. | Rodolfo Casana and Lucas Sourrouille | Self-dual Maxwell-Chern-Simons solitons from a Lorentz-violating model | 6 pages, 5 figures | Physics Letters B 726: 488, 2013 | 10.1016/j.physletb.2013.08.051 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons
terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction.
Bogomol'nyi-type equations are studied from theoretical and numerical point of
view. In particular we show that the solutions of these equations are
Nielsen-Olesen vortices with electric charge.
| [
{
"created": "Fri, 5 Jul 2013 22:52:59 GMT",
"version": "v1"
}
] | 2013-09-30 | [
[
"Casana",
"Rodolfo",
""
],
[
"Sourrouille",
"Lucas",
""
]
] | Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction. Bogomol'nyi-type equations are studied from theoretical and numerical point of view. In particular we show that the solutions of these equations are Nielsen-Olesen vortices with electric charge. |
hep-th/0109159 | Masao Jinzenji | Masao Jinzenji (Univ. of Hokkaido, Math. Dept.), Toru Sasaki (Univ. of
Hokkaido, Phys. Dept.) | {\cal N}=4 Supersymmetric Yang-Mills Theory on Orbifold-$T^4/{\bf Z}_2$:
Higher Rank Case | 19 pages, Latex, enlarged published version | JHEP 0112:002,2001 | 10.1088/1126-6708/2001/12/002 | EPHOU-01-005 | hep-th | null | We derive the partition function of {\cal N}=4 supersymmetric Yang-Mills
theory on orbifold-T^4/{\bf Z}_2 for gauge group SU(N). We generalize the
method of our previous work for the SU(2) case to the SU(N) case. The resulting
partition function is represented as the sum of the product of G\"ottche
formula of singular quotient space $T^4/{\bf Z}_2 $ and of blow-up formulas
including A_{N-1} theta series with level N.
| [
{
"created": "Thu, 20 Sep 2001 07:23:00 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Sep 2001 07:41:37 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Dec 2001 06:59:04 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Jinzenji",
"Masao",
"",
"Univ. of Hokkaido, Math. Dept."
],
[
"Sasaki",
"Toru",
"",
"Univ. of\n Hokkaido, Phys. Dept."
]
] | We derive the partition function of {\cal N}=4 supersymmetric Yang-Mills theory on orbifold-T^4/{\bf Z}_2 for gauge group SU(N). We generalize the method of our previous work for the SU(2) case to the SU(N) case. The resulting partition function is represented as the sum of the product of G\"ottche formula of singular quotient space $T^4/{\bf Z}_2 $ and of blow-up formulas including A_{N-1} theta series with level N. |
1912.04768 | Alon Faraggi | Alon E. Faraggi, Glyn Harries, Benjamin Percival, John Rizos | Doublet-Triplet Splitting in Fertile Left-Right Symmetric Heterotic
String Vacua | 30 pages. 1 figure. Published version | Nucl.Phys. B953 (2020) 114969 | 10.1016/j.nuclphysb.2020.114969 | LTH 1220 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Classification of Left-Right Symmetric (LRS) heterotic-string vacua in the
free fermionic formulation, using random generation of generalised GSO (GGSO)
projection coefficients, produced phenomenologically viable models with
probability $4\times 10^{-11}$. Extracting substantial number of
phenomenologically viable models requires modification of the classification
method. This is achieved by identifying phenomenologically amenable conditions
on the Generalised GSO projection coefficients that are randomly generated at
the $SO(10)$ level. Around each of these fertile cores we perform a complete
LRS classification, generating viable models with probabilility $1.4\times
10^{-2}$, hence increasing the probability of generating phenomenologically
viable models by nine orders of magnitude, and producing some $1.4\times 10^5$
such models. In the process we identify a doublet-triplet selection mechanism
that operates in twisted sectors of the string models that break the $SO(10)$
symmetry to the Pati-Salam subgroup. This mechanism therefore operates as well
in free fermionic models with Pati-Salam and Standard-like Model $SO(10)$
subgroups.
| [
{
"created": "Tue, 10 Dec 2019 15:32:41 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2020 11:58:28 GMT",
"version": "v2"
}
] | 2020-03-16 | [
[
"Faraggi",
"Alon E.",
""
],
[
"Harries",
"Glyn",
""
],
[
"Percival",
"Benjamin",
""
],
[
"Rizos",
"John",
""
]
] | Classification of Left-Right Symmetric (LRS) heterotic-string vacua in the free fermionic formulation, using random generation of generalised GSO (GGSO) projection coefficients, produced phenomenologically viable models with probability $4\times 10^{-11}$. Extracting substantial number of phenomenologically viable models requires modification of the classification method. This is achieved by identifying phenomenologically amenable conditions on the Generalised GSO projection coefficients that are randomly generated at the $SO(10)$ level. Around each of these fertile cores we perform a complete LRS classification, generating viable models with probabilility $1.4\times 10^{-2}$, hence increasing the probability of generating phenomenologically viable models by nine orders of magnitude, and producing some $1.4\times 10^5$ such models. In the process we identify a doublet-triplet selection mechanism that operates in twisted sectors of the string models that break the $SO(10)$ symmetry to the Pati-Salam subgroup. This mechanism therefore operates as well in free fermionic models with Pati-Salam and Standard-like Model $SO(10)$ subgroups. |
hep-th/9811081 | Adam D. Helfer | Adam D. Helfer | The Physics of Negative Energy Densities | 10 pages, latex, uses sprocl, talk given at the Quantum Fields in
External Potentials Workshop, Leipzig, 1998 | null | null | null | hep-th gr-qc | null | I review some recent results showing that the physics of negative energy
densities, as predicted by relativistic quantum field theories, is more
complicated than has generally been appreciated. On the one hand, in external
potentials where there is a time--dependence, however slight, the Hamiltonians
are unbounded below. On the other, there are limitations of quantum measurement
in detecting or utilizing these negative energies.
| [
{
"created": "Mon, 9 Nov 1998 17:45:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Helfer",
"Adam D.",
""
]
] | I review some recent results showing that the physics of negative energy densities, as predicted by relativistic quantum field theories, is more complicated than has generally been appreciated. On the one hand, in external potentials where there is a time--dependence, however slight, the Hamiltonians are unbounded below. On the other, there are limitations of quantum measurement in detecting or utilizing these negative energies. |
2406.00666 | Shuta Ishigaki | Shuta Ishigaki, Zhaojie Xu | Thermodynamics, magnetic properties, and global $U(1)$ symmetry breaking
of the S-type Gubser-Rocha model | 23pages, 7 figures | null | null | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study an explicit formula for the thermodynamic potential of the AdS
dyonic black brane solution with an axio-dilaton hair, which was discovered in
an extension of the $(3+1)$d Gubser-Rocha model enjoying S-duality. From the
thermodynamic potential, we can compute the magnetization and the magnetic
susceptibilities of the dyonic solution. The result of the magnetization is
negative implying that the system is diamagnetic. Subsequently, we consider a
specific neutral limit of the dyonic solution. In this setup, we find that the
system exhibits spontaneous breaking of a global $U(1)$ symmetry. The order
parameter is given by a complex operator which is dual to the axio-dilaton
field in the bulk. Interestingly, the system has a finite Hall conductivity
even in the absence of the external magnetic field, and it is related to the
phase of the complex operator.
| [
{
"created": "Sun, 2 Jun 2024 08:29:05 GMT",
"version": "v1"
}
] | 2024-06-04 | [
[
"Ishigaki",
"Shuta",
""
],
[
"Xu",
"Zhaojie",
""
]
] | We study an explicit formula for the thermodynamic potential of the AdS dyonic black brane solution with an axio-dilaton hair, which was discovered in an extension of the $(3+1)$d Gubser-Rocha model enjoying S-duality. From the thermodynamic potential, we can compute the magnetization and the magnetic susceptibilities of the dyonic solution. The result of the magnetization is negative implying that the system is diamagnetic. Subsequently, we consider a specific neutral limit of the dyonic solution. In this setup, we find that the system exhibits spontaneous breaking of a global $U(1)$ symmetry. The order parameter is given by a complex operator which is dual to the axio-dilaton field in the bulk. Interestingly, the system has a finite Hall conductivity even in the absence of the external magnetic field, and it is related to the phase of the complex operator. |
1711.07536 | David McGady | David A. McGady | Temperature-reflection I: field theory, ensembles, and interactions | 50 pages, 1 figure, comments welcome! | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we revisit the claim that many partition functions are
invariant under reflecting temperatures to negative values (T-reflection). The
goal of this paper is to demarcate which partition functions should be
invariant under T-reflection, and why. Our main claim is that
finite-temperature path integrals for quantum field theories (QFTs) should be
T-reflection invariant. Because multi-particle partition functions are equal to
Euclidean path integrals for QFTs, we expect them to be T-reflection invariant.
Single-particle partition functions though are often not invariant under
T-reflection. Several exactly solvable systems are non-invariant under naive
T-reflection, but are likely invariant under an extended T-reflection. We give
example systems that are T-reflection invariant but are (1) non-unitary, (2)
chiral, (3) interacting, (4) non-supersymmetric, or (5) non-conformal, and (6)
argue that T-reflection is unrelated to time-reversal. Finally, we study the
interplay between T-reflection and perturbation theory in the anharmonic
harmonic oscillator in quantum mechanics and in Yang-Mills in four-dimensions.
This is the first in a series of papers on temperature-reflections.
| [
{
"created": "Mon, 20 Nov 2017 20:38:38 GMT",
"version": "v1"
}
] | 2017-11-22 | [
[
"McGady",
"David A.",
""
]
] | In this paper, we revisit the claim that many partition functions are invariant under reflecting temperatures to negative values (T-reflection). The goal of this paper is to demarcate which partition functions should be invariant under T-reflection, and why. Our main claim is that finite-temperature path integrals for quantum field theories (QFTs) should be T-reflection invariant. Because multi-particle partition functions are equal to Euclidean path integrals for QFTs, we expect them to be T-reflection invariant. Single-particle partition functions though are often not invariant under T-reflection. Several exactly solvable systems are non-invariant under naive T-reflection, but are likely invariant under an extended T-reflection. We give example systems that are T-reflection invariant but are (1) non-unitary, (2) chiral, (3) interacting, (4) non-supersymmetric, or (5) non-conformal, and (6) argue that T-reflection is unrelated to time-reversal. Finally, we study the interplay between T-reflection and perturbation theory in the anharmonic harmonic oscillator in quantum mechanics and in Yang-Mills in four-dimensions. This is the first in a series of papers on temperature-reflections. |
1512.07902 | Vladislav Vaganov | Vladislav Vaganov | Holographic entanglement entropy for massive flavours in dS_4 | 36 pages, 8 figures. Minor corrections. Clarifications about lack of
transition in EE as sphere size crosses horizon. Version published in JHEP | null | 10.1007/JHEP03(2016)172 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the holographic entanglement entropy of spherical regions in de
Sitter space in the presence of massive flavour fields which are modelled by
probe D7 branes in AdS_5xS^5. We focus on the finite part of the massive
correction to the entropy in the limits of small mass and large mass that are
separated by a phase transition between two topologically distinct brane
embeddings. For small masses, it approaches the flat space result for small
spheres, whereas for large spheres there is a term that goes as the log of the
sphere radius. For large masses, we find evidence for a universal contribution
logarithmic in the mass. In all cases the entanglement entropy is smooth as the
sphere radius crosses the horizon.
| [
{
"created": "Thu, 24 Dec 2015 20:43:48 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Apr 2016 14:50:27 GMT",
"version": "v2"
}
] | 2016-04-07 | [
[
"Vaganov",
"Vladislav",
""
]
] | We examine the holographic entanglement entropy of spherical regions in de Sitter space in the presence of massive flavour fields which are modelled by probe D7 branes in AdS_5xS^5. We focus on the finite part of the massive correction to the entropy in the limits of small mass and large mass that are separated by a phase transition between two topologically distinct brane embeddings. For small masses, it approaches the flat space result for small spheres, whereas for large spheres there is a term that goes as the log of the sphere radius. For large masses, we find evidence for a universal contribution logarithmic in the mass. In all cases the entanglement entropy is smooth as the sphere radius crosses the horizon. |
hep-th/0012120 | Andrea Pelissetto | M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi and E. Vicari | High-precision estimates of critical quantities by means of improved
Hamiltonians | 7 pages, contribution to the 2nd Conference on the Exact
Renormalization Group, Roma, September 2000 | Int.J.Mod.Phys. A16 (2001) 2009-2014 | 10.1142/S0217751X01004633 | null | hep-th | null | Three-dimensional spin models of the Ising and XY universality classes are
studied by a combination of high-temperature expansions and Monte Carlo
simulations applied to improved Hamiltonians. The critical exponents and the
critical equation of state are determined to very high precision.
| [
{
"created": "Thu, 14 Dec 2000 08:51:48 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Campostrini",
"M.",
""
],
[
"Hasenbusch",
"M.",
""
],
[
"Pelissetto",
"A.",
""
],
[
"Rossi",
"P.",
""
],
[
"Vicari",
"E.",
""
]
] | Three-dimensional spin models of the Ising and XY universality classes are studied by a combination of high-temperature expansions and Monte Carlo simulations applied to improved Hamiltonians. The critical exponents and the critical equation of state are determined to very high precision. |
1406.5166 | Paul de Medeiros | Paul de Medeiros | Submaximal conformal symmetry superalgebras for Lorentzian manifolds of
low dimension | 37 pages, 13 tables | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a class of smooth oriented Lorentzian manifolds in dimensions
three and four which admit a nowhere vanishing conformal Killing vector and a
closed two-form that is invariant under the Lie algebra of conformal Killing
vectors. The invariant two-form is constrained in a particular way by the
conformal geometry of the manifold. In three dimensions, the conformal Killing
vector must be everywhere causal (or null if the invariant two-form vanishes
identically). In four dimensions, the conformal Killing vector must be
everywhere null and the invariant two-form vanishes identically if the geometry
is everywhere of Petrov type N or O. To the conformal class of any such
geometry, it is possible to assign a particular Lie superalgebra structure,
called a conformal symmetry superalgebra. The even part of this superalgebra
contains conformal Killing vectors and constant R-symmetries while the odd part
contains (charged) twistor spinors. The largest possible dimension of a
conformal symmetry superalgebra is realised only for geometries that are
locally conformally flat. We determine precisely which non-trivial conformal
classes of metrics admit a conformal symmetry superalgebra with the next
largest possible dimension, and compute all the associated submaximal conformal
symmetry superalgebras. In four dimensions, we also compute symmetry
superalgebras for a class of Ricci-flat Lorentzian geometries not of Petrov
type N or O which admit a null Killing vector.
| [
{
"created": "Thu, 19 Jun 2014 19:39:07 GMT",
"version": "v1"
}
] | 2014-06-20 | [
[
"de Medeiros",
"Paul",
""
]
] | We consider a class of smooth oriented Lorentzian manifolds in dimensions three and four which admit a nowhere vanishing conformal Killing vector and a closed two-form that is invariant under the Lie algebra of conformal Killing vectors. The invariant two-form is constrained in a particular way by the conformal geometry of the manifold. In three dimensions, the conformal Killing vector must be everywhere causal (or null if the invariant two-form vanishes identically). In four dimensions, the conformal Killing vector must be everywhere null and the invariant two-form vanishes identically if the geometry is everywhere of Petrov type N or O. To the conformal class of any such geometry, it is possible to assign a particular Lie superalgebra structure, called a conformal symmetry superalgebra. The even part of this superalgebra contains conformal Killing vectors and constant R-symmetries while the odd part contains (charged) twistor spinors. The largest possible dimension of a conformal symmetry superalgebra is realised only for geometries that are locally conformally flat. We determine precisely which non-trivial conformal classes of metrics admit a conformal symmetry superalgebra with the next largest possible dimension, and compute all the associated submaximal conformal symmetry superalgebras. In four dimensions, we also compute symmetry superalgebras for a class of Ricci-flat Lorentzian geometries not of Petrov type N or O which admit a null Killing vector. |
hep-th/0306024 | Pedro Lauridsen Ribeiro | Pedro Lauridsen Ribeiro | Renormalization Group Flow in Algebraic Holography | 3 pages; slightly modified version of a Poster presentation made at
IRGA2003 - "Renormalization Group and Anomalies in Gravity and Cosmology",
Ouro Preto, Brazil, March 17-23, 2003. v2: small typos corrected, one
reference name rewritten to fix SLAC-SPIRES HEP indexing. v3: a wrong
assertion removed, small aesthetical changes, one extra name included in the
acknowledgements | Nucl. Phys. B Proc. Suppl. 127 (2004) 193-195 | null | null | hep-th | null | An approach to the Holographic Renormalization Group in the context of Rehren
duality - a structural form of the AdS-CFT correspondence, in the context of
Local Quantum Physics (Algebraic QFT) - is proposed. Special attention to the
issue of UV/IR connection is paid.
| [
{
"created": "Tue, 3 Jun 2003 19:55:50 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jun 2003 13:40:04 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Jul 2003 19:01:39 GMT",
"version": "v3"
}
] | 2007-12-05 | [
[
"Ribeiro",
"Pedro Lauridsen",
""
]
] | An approach to the Holographic Renormalization Group in the context of Rehren duality - a structural form of the AdS-CFT correspondence, in the context of Local Quantum Physics (Algebraic QFT) - is proposed. Special attention to the issue of UV/IR connection is paid. |
1305.1304 | Dmitri Sorokin | Igor Bandos, Henning Samtleben and Dmitri Sorokin | Duality-symmetric actions for non-Abelian tensor fields | 28 pages, v2: minor corrections, references added and updated | null | 10.1103/PhysRevD.88.025024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the duality-symmetric actions for a large class of
six-dimensional models describing hierarchies of non-Abelian scalar, vector and
tensor fields related to each other by first-order (self-)duality equations
that follow from these actions. In particular, this construction provides a
Lorentz invariant action for non-Abelian self-dual tensor fields. The class of
models includes the bosonic sectors of the 6d (1,0) superconformal models of
interacting non-Abelian self-dual tensor, vector, and hypermultiplets.
| [
{
"created": "Mon, 6 May 2013 20:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jul 2013 10:21:16 GMT",
"version": "v2"
}
] | 2013-08-09 | [
[
"Bandos",
"Igor",
""
],
[
"Samtleben",
"Henning",
""
],
[
"Sorokin",
"Dmitri",
""
]
] | We construct the duality-symmetric actions for a large class of six-dimensional models describing hierarchies of non-Abelian scalar, vector and tensor fields related to each other by first-order (self-)duality equations that follow from these actions. In particular, this construction provides a Lorentz invariant action for non-Abelian self-dual tensor fields. The class of models includes the bosonic sectors of the 6d (1,0) superconformal models of interacting non-Abelian self-dual tensor, vector, and hypermultiplets. |
1501.06692 | Damiano Anselmi | Damiano Anselmi | Ward identities and gauge independence in general chiral gauge theories | 56 pages; v3: some expanded arguments, more references, PRD version | Phys. Rev. D 92, 025027 (2015) | 10.1103/PhysRevD.92.025027 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the Batalin-Vilkovisky formalism, we study the Ward identities and the
equations of gauge dependence in potentially anomalous general gauge theories,
renormalizable or not. A crucial new term, absent in manifestly nonanomalous
theories, is responsible for interesting effects. We prove that gauge
invariance always implies gauge independence, which in turn ensures
perturbative unitarity. Precisely, we consider potentially anomalous theories
that are actually free of gauge anomalies thanks to the Adler-Bardeen theorem.
We show that when we make a canonical transformation on the tree-level action,
it is always possible to re-renormalize the divergences and re-fine-tune the
finite local counterterms, so that the renormalized $\Gamma $ functional of the
transformed theory is also free of gauge anomalies, and is related to the
renormalized $\Gamma $ functional of the starting theory by a canonical
transformation. An unexpected consequence of our results is that the beta
functions of the couplings may depend on the gauge-fixing parameters, although
the physical quantities remain gauge independent. We discuss nontrivial checks
of high-order calculations based on gauge independence and determine how
powerful they are.
| [
{
"created": "Tue, 27 Jan 2015 09:02:00 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2015 14:35:51 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Jul 2015 10:40:16 GMT",
"version": "v3"
}
] | 2015-07-22 | [
[
"Anselmi",
"Damiano",
""
]
] | Using the Batalin-Vilkovisky formalism, we study the Ward identities and the equations of gauge dependence in potentially anomalous general gauge theories, renormalizable or not. A crucial new term, absent in manifestly nonanomalous theories, is responsible for interesting effects. We prove that gauge invariance always implies gauge independence, which in turn ensures perturbative unitarity. Precisely, we consider potentially anomalous theories that are actually free of gauge anomalies thanks to the Adler-Bardeen theorem. We show that when we make a canonical transformation on the tree-level action, it is always possible to re-renormalize the divergences and re-fine-tune the finite local counterterms, so that the renormalized $\Gamma $ functional of the transformed theory is also free of gauge anomalies, and is related to the renormalized $\Gamma $ functional of the starting theory by a canonical transformation. An unexpected consequence of our results is that the beta functions of the couplings may depend on the gauge-fixing parameters, although the physical quantities remain gauge independent. We discuss nontrivial checks of high-order calculations based on gauge independence and determine how powerful they are. |
2112.03928 | Nat Levine | Nat Levine | Integrability and RG flow in 2d sigma models | 174 pages. PhD thesis submitted to Imperial College London. Based on
the papers [arXiv:1812.02549], [arXiv:1907.04737], [arXiv:1910.00397],
[arXiv:2008.01112], [arXiv:2103.10513]. v2: minor corrections | null | 10.25560/92975 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Motivated by the search for solvable string theories, we consider the problem
of classifying the integrable bosonic 2d $\sigma$-models. We include
non-conformal $\sigma$-models, which have historically been a good arena for
discovering integrable models that were later generalized to Weyl-invariant
ones. General $\sigma$-models feature a quantum RG flow, given by a
'generalized Ricci flow' of the target-space geometry.
This thesis is based on the conjecture that integrable $\sigma$-models are
renormalizable, or stable under the RG flow. It is widely understood that
classically integrable theories are stable at the leading 1-loop order with
only a few parameters running. Here we address what happens at higher-loop
orders. We find that integrable $\sigma$-models generally remain RG-stable at
higher-loops provided they receive a particular choice of finite counterterms,
or quantum ($\alpha'$) corrections to the target-space geometry.
We explicitly construct these quantum corrections for examples of integrable
$\eta$- and $\lambda$-deformed $\sigma$-models. We then reformulate the
$\lambda$-models as $\sigma$-models on a "tripled" $G \times G \times G$
configuration space, where they become automatically renormalizable due to
manifest symmetries and a decoupling of some fields. We also consider the
integrable $G \times G$ and $G \times G/H$ models and construct a new class of
integrable $G \times G/H$ models with abelian $H$.
We then present a new and different link between integrability and the RG
flow in the context of $\sigma$-models with 'local couplings' depending
explicitly on 2d time. Such models are naturally obtained in the light-cone
gauge in string theory, pointing to the possibility of a large, new class of
solvable string models.
| [
{
"created": "Tue, 7 Dec 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Sep 2022 16:33:57 GMT",
"version": "v2"
}
] | 2022-09-26 | [
[
"Levine",
"Nat",
""
]
] | Motivated by the search for solvable string theories, we consider the problem of classifying the integrable bosonic 2d $\sigma$-models. We include non-conformal $\sigma$-models, which have historically been a good arena for discovering integrable models that were later generalized to Weyl-invariant ones. General $\sigma$-models feature a quantum RG flow, given by a 'generalized Ricci flow' of the target-space geometry. This thesis is based on the conjecture that integrable $\sigma$-models are renormalizable, or stable under the RG flow. It is widely understood that classically integrable theories are stable at the leading 1-loop order with only a few parameters running. Here we address what happens at higher-loop orders. We find that integrable $\sigma$-models generally remain RG-stable at higher-loops provided they receive a particular choice of finite counterterms, or quantum ($\alpha'$) corrections to the target-space geometry. We explicitly construct these quantum corrections for examples of integrable $\eta$- and $\lambda$-deformed $\sigma$-models. We then reformulate the $\lambda$-models as $\sigma$-models on a "tripled" $G \times G \times G$ configuration space, where they become automatically renormalizable due to manifest symmetries and a decoupling of some fields. We also consider the integrable $G \times G$ and $G \times G/H$ models and construct a new class of integrable $G \times G/H$ models with abelian $H$. We then present a new and different link between integrability and the RG flow in the context of $\sigma$-models with 'local couplings' depending explicitly on 2d time. Such models are naturally obtained in the light-cone gauge in string theory, pointing to the possibility of a large, new class of solvable string models. |
2211.11399 | A. Yu. Petrov | B. Altschul, L. C. T. Brito, J. C. C. Felipe, S. Karki, A. C. Lehum,
A. Yu. Petrov | Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED | 18 pages, matches published version | Phys. Rev. D 107, 045005 (2023) | 10.1103/PhysRevD.107.045005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The renormalization of quantum field theories usually assumes Lorentz and
gauge symmetries, besides the general restrictions imposed by unitarity and
causality. However, the set of renormalizable theories can be enlarged by
relaxing some of these assumptions. In this work, we consider the particular
case of a CPT-preserving but Lorentz-breaking extension of scalar QED. For this
theory, we calculate the one-loop radiative corrections to the three- and
four-point scalar-vector vertex functions, at the lowest order in the Lorentz
violation parameters; and we explicitly verify that the resulting low-energy
effective action is compatible with the usual gauge invariance requirements.
With these results, we complete the one-loop renormalization of the model at
the leading order in the Lorentz-violating parameters.
| [
{
"created": "Mon, 21 Nov 2022 12:15:50 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Nov 2022 10:54:22 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jan 2023 19:50:58 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Feb 2023 15:49:24 GMT",
"version": "v4"
}
] | 2023-02-14 | [
[
"Altschul",
"B.",
""
],
[
"Brito",
"L. C. T.",
""
],
[
"Felipe",
"J. C. C.",
""
],
[
"Karki",
"S.",
""
],
[
"Lehum",
"A. C.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of these assumptions. In this work, we consider the particular case of a CPT-preserving but Lorentz-breaking extension of scalar QED. For this theory, we calculate the one-loop radiative corrections to the three- and four-point scalar-vector vertex functions, at the lowest order in the Lorentz violation parameters; and we explicitly verify that the resulting low-energy effective action is compatible with the usual gauge invariance requirements. With these results, we complete the one-loop renormalization of the model at the leading order in the Lorentz-violating parameters. |
hep-th/0604092 | Leopoldo A. Pando Zayas | Benjamin A. Burrington, James T. Liu, Manavendra Mahato and Leopoldo
A. Pando Zayas | Finite Heisenbeg Groups and Seiberg Dualities in Quiver Gauge Theories | 22 pages, five figures | Nucl.Phys.B757:1-18,2006 | 10.1016/j.nuclphysb.2006.06.030 | MCTP-06-05 | hep-th | null | A large class of quiver gauge theories admits the action of finite Heisenberg
groups of the form Heis(Z_q x Z_q). This Heisenberg group is generated by a
manifest Z_q shift symmetry acting on the quiver along with a second Z_q
rephasing (clock) generator acting on the links of the quiver. Under Seiberg
duality, however, the action of the shift generator is no longer manifest, as
the dualized node has a different structure from before. Nevertheless, we
demonstrate that the Z_q shift generator acts naturally on the space of all
Seiberg dual phases of a given quiver. We then prove that the space of Seiberg
dual theories inherits the action of the original finite Heisenberg group,
where now the shift generator Z_q is a map among fields belonging to different
Seiberg phases. As examples, we explicitly consider the action of the
Heisenberg group on Seiberg phases for C^3/Z_3, Y^{4,2} and Y^{6,3} quiver.
| [
{
"created": "Wed, 12 Apr 2006 19:42:28 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Apr 2006 20:33:18 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Burrington",
"Benjamin A.",
""
],
[
"Liu",
"James T.",
""
],
[
"Mahato",
"Manavendra",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
]
] | A large class of quiver gauge theories admits the action of finite Heisenberg groups of the form Heis(Z_q x Z_q). This Heisenberg group is generated by a manifest Z_q shift symmetry acting on the quiver along with a second Z_q rephasing (clock) generator acting on the links of the quiver. Under Seiberg duality, however, the action of the shift generator is no longer manifest, as the dualized node has a different structure from before. Nevertheless, we demonstrate that the Z_q shift generator acts naturally on the space of all Seiberg dual phases of a given quiver. We then prove that the space of Seiberg dual theories inherits the action of the original finite Heisenberg group, where now the shift generator Z_q is a map among fields belonging to different Seiberg phases. As examples, we explicitly consider the action of the Heisenberg group on Seiberg phases for C^3/Z_3, Y^{4,2} and Y^{6,3} quiver. |
1502.02271 | Mikhail A. Vasiliev | M.A. Vasiliev | Star-Product Functions in Higher-Spin Theory and Locality | 25 pages; V2: The version to appear in JHEP, typos corrected, a
comment in Section 6 added | null | null | FIAN/TD/17-14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Properties of the functional classes of star-product elements associated with
higher-spin gauge fields and gauge parameters are elaborated. Cohomological
interpretation of the nonlinear higher-spin equations is given. An algebra
${\mathcal H}$, where solutions of the nonlinear higher-spin equations are
valued, is found. A conjecture on the classes of star-product functions
underlying (non)local maps and gauge transformations in the nonlinear
higher-spin theory is proposed.
| [
{
"created": "Sun, 8 Feb 2015 16:55:45 GMT",
"version": "v1"
},
{
"created": "Wed, 27 May 2015 21:51:11 GMT",
"version": "v2"
}
] | 2015-05-29 | [
[
"Vasiliev",
"M. A.",
""
]
] | Properties of the functional classes of star-product elements associated with higher-spin gauge fields and gauge parameters are elaborated. Cohomological interpretation of the nonlinear higher-spin equations is given. An algebra ${\mathcal H}$, where solutions of the nonlinear higher-spin equations are valued, is found. A conjecture on the classes of star-product functions underlying (non)local maps and gauge transformations in the nonlinear higher-spin theory is proposed. |
0805.3864 | Reijirou Fukuda | R. Fukuda | Derivation of Dielectric Model of Confinement in QCD | 8 pages, 1 Figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Phenomenological model for confining Lagrangian based on the perfect
dia-electric property of the vacuum of QCD, proposed by Kogut-Susskind and by
't Hooft, is derived by the stability of the condensed vacuum.
| [
{
"created": "Mon, 26 May 2008 02:58:35 GMT",
"version": "v1"
}
] | 2008-05-27 | [
[
"Fukuda",
"R.",
""
]
] | Phenomenological model for confining Lagrangian based on the perfect dia-electric property of the vacuum of QCD, proposed by Kogut-Susskind and by 't Hooft, is derived by the stability of the condensed vacuum. |
hep-th/0406192 | Maxim Grigoriev | Glenn Barnich, Maxim Grigoriev, Alexei Semikhatov and Ilya Tipunin | Parent field theory and unfolding in BRST first-quantized terms | LaTeX, amsart++, 40 pages, references added, final version to appear
in Commun. Math. Phys | Commun.Math.Phys. 260 (2005) 147-181 | 10.1007/s00220-005-1408-4 | ULB-TH/04-17 | hep-th math.QA | null | For free-field theories associated with BRST first-quantized gauge systems,
we identify generalized auxiliary fields and pure gauge variables already at
the first-quantized level as the fields associated with algebraically
contractible pairs for the BRST operator. Locality of the field theory is taken
into account by separating the space--time degrees of freedom from the internal
ones. A standard extension of the first-quantized system, originally developed
to study quantization on curved manifolds, is used here for the construction of
a first-order parent field theory that has a remarkable property: by
elimination of generalized auxiliary fields, it can be reduced both to the
field theory corresponding to the original system and to its unfolded
formulation. As an application, we consider the free higher-spin gauge theories
of Fronsdal.
| [
{
"created": "Tue, 22 Jun 2004 17:56:26 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jun 2004 00:14:50 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Sep 2004 09:16:37 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Feb 2005 14:29:33 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Barnich",
"Glenn",
""
],
[
"Grigoriev",
"Maxim",
""
],
[
"Semikhatov",
"Alexei",
""
],
[
"Tipunin",
"Ilya",
""
]
] | For free-field theories associated with BRST first-quantized gauge systems, we identify generalized auxiliary fields and pure gauge variables already at the first-quantized level as the fields associated with algebraically contractible pairs for the BRST operator. Locality of the field theory is taken into account by separating the space--time degrees of freedom from the internal ones. A standard extension of the first-quantized system, originally developed to study quantization on curved manifolds, is used here for the construction of a first-order parent field theory that has a remarkable property: by elimination of generalized auxiliary fields, it can be reduced both to the field theory corresponding to the original system and to its unfolded formulation. As an application, we consider the free higher-spin gauge theories of Fronsdal. |
hep-th/9809121 | Sergei Ketov | Sergei V. Ketov (ITP, University of Hannover) | A manifestly N=2 supersymmetric Born-Infeld action | 11 pages, LaTeX, eq.(42) is corrected | Mod.Phys.Lett. A14 (1999) 501-510 | 10.1142/S0217732399000559 | DESY 98--138 and ITP-UH-22/98 | hep-th | null | A manifestly N=2 supersymmetric completion of the four-dimensional
Nambu-Goto-Born-Infeld action, which is self-dual with respect to
electric-magnetic duality, is constructed in terms of the abelian N=2
superfield strength W in the conventional N=2 superspace. A relation to the
known N=1 supersymmetric Born-Infeld action in N=1 superspace is established.
The action found can be considered either as the Goldstone action associated
with partial breaking of N=4 supersymmetry down to N=2, with the N=2 vector
superfield being a Goldstone field, or, equivalently, as the gauge-fixed
superfield action of a D-3-brane in flat six-dimensional ambient spacetime.
| [
{
"created": "Wed, 16 Sep 1998 19:23:38 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Sep 1998 17:17:36 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Nov 1998 15:33:19 GMT",
"version": "v3"
},
{
"created": "Wed, 25 Nov 1998 18:36:24 GMT",
"version": "v4"
},
{
"created": "Thu, 28 Jan 1999 11:16:42 GMT",
"version": "v5"
}
] | 2009-10-31 | [
[
"Ketov",
"Sergei V.",
"",
"ITP, University of Hannover"
]
] | A manifestly N=2 supersymmetric completion of the four-dimensional Nambu-Goto-Born-Infeld action, which is self-dual with respect to electric-magnetic duality, is constructed in terms of the abelian N=2 superfield strength W in the conventional N=2 superspace. A relation to the known N=1 supersymmetric Born-Infeld action in N=1 superspace is established. The action found can be considered either as the Goldstone action associated with partial breaking of N=4 supersymmetry down to N=2, with the N=2 vector superfield being a Goldstone field, or, equivalently, as the gauge-fixed superfield action of a D-3-brane in flat six-dimensional ambient spacetime. |
1211.4620 | David A. Lowe | Klaus Larjo, David A. Lowe and Larus Thorlacius | Black holes without firewalls | 17 pages, 4 figures (minor changes) | Phys. Rev. D 87, 104018 (2013) | 10.1103/PhysRevD.87.104018 | BROWN-HET-1636, NORDITA-2012-90, RH-10-2012 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The postulates of black hole complementarity do not imply a firewall for
infalling observers at a black hole horizon. The dynamics of the stretched
horizon, that scrambles and re-emits information, determines whether infalling
observers experience anything out of the ordinary when entering a large black
hole. In particular, there is no firewall if the stretched horizon degrees of
freedom retain information for a time of order the black hole scrambling time.
| [
{
"created": "Mon, 19 Nov 2012 22:58:20 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2012 22:50:27 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jun 2013 16:54:45 GMT",
"version": "v3"
}
] | 2013-06-24 | [
[
"Larjo",
"Klaus",
""
],
[
"Lowe",
"David A.",
""
],
[
"Thorlacius",
"Larus",
""
]
] | The postulates of black hole complementarity do not imply a firewall for infalling observers at a black hole horizon. The dynamics of the stretched horizon, that scrambles and re-emits information, determines whether infalling observers experience anything out of the ordinary when entering a large black hole. In particular, there is no firewall if the stretched horizon degrees of freedom retain information for a time of order the black hole scrambling time. |
1711.09884 | Minxin Huang | Min-xin Huang, Kaiwen Sun and Xin Wang | Blowup Equations for Refined Topological Strings | 85 pages. v2: Journal version | JHEP 1810 (2018) 196 | 10.1007/JHEP10(2018)196 | USTC-ICTS-17-13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | G\"{o}ttsche-Nakajima-Yoshioka K-theoretic blowup equations characterize the
Nekrasov partition function of five dimensional $\mathcal{N}=1$ supersymmetric
gauge theories compactified on a circle, which via geometric engineering
correspond to the refined topological string theory on $SU(N)$ geometries. In
this paper, we study the K-theoretic blowup equations for general local
Calabi-Yau threefolds. We find that both vanishing and unity blowup equations
exist for the partition function of refined topological string, and the crucial
ingredients are the $\bf r$ fields introduced in our previous paper. These
blowup equations are in fact the functional equations for the partition
function and each of them results in infinite identities among the refined free
energies. Evidences show that they can be used to determine the full refined
BPS invariants of local Calabi-Yau threefolds. This serves an independent and
sometimes more powerful way to compute the partition function other than the
refined topological vertex in the A-model and the refined holomorphic anomaly
equations in the B-model. We study the modular properties of the blowup
equations and provide a procedure to determine all the vanishing and unity $\bf
r$ fields from the polynomial part of refined topological string at large
radius point. We also find that certain form of blowup equations exist at
generic loci of the moduli space.
| [
{
"created": "Mon, 27 Nov 2017 18:59:46 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Nov 2018 05:41:36 GMT",
"version": "v2"
}
] | 2018-11-12 | [
[
"Huang",
"Min-xin",
""
],
[
"Sun",
"Kaiwen",
""
],
[
"Wang",
"Xin",
""
]
] | G\"{o}ttsche-Nakajima-Yoshioka K-theoretic blowup equations characterize the Nekrasov partition function of five dimensional $\mathcal{N}=1$ supersymmetric gauge theories compactified on a circle, which via geometric engineering correspond to the refined topological string theory on $SU(N)$ geometries. In this paper, we study the K-theoretic blowup equations for general local Calabi-Yau threefolds. We find that both vanishing and unity blowup equations exist for the partition function of refined topological string, and the crucial ingredients are the $\bf r$ fields introduced in our previous paper. These blowup equations are in fact the functional equations for the partition function and each of them results in infinite identities among the refined free energies. Evidences show that they can be used to determine the full refined BPS invariants of local Calabi-Yau threefolds. This serves an independent and sometimes more powerful way to compute the partition function other than the refined topological vertex in the A-model and the refined holomorphic anomaly equations in the B-model. We study the modular properties of the blowup equations and provide a procedure to determine all the vanishing and unity $\bf r$ fields from the polynomial part of refined topological string at large radius point. We also find that certain form of blowup equations exist at generic loci of the moduli space. |
hep-th/0110040 | Alex Kaganovich | E.I. Guendelman and A.B. Kaganovich | SSB of scale symmetry, fermion families and quintessence without the
long-range force problem | latex, 25 pages; misprint corrected | Int.J.Mod.Phys. A17 (2002) 417 | 10.1142/S0217751X02005736 | null | hep-th astro-ph gr-qc | null | We study a scale invariant two measures theory where a dilaton field \phi has
no explicit potentials. The scale transformations include a shift
\phi\to\phi+const. The theory demonstrates a new mechanism for gene- ration of
the exponential potential: in the conformal Einstein frame (CEF), after SSB of
scale invariance, the theory develops the exponential potential and, in
general, non-linear kinetic term is generated as well. The possibility of
quintessence solutions are shown. As an example, for one choice of the
parameters we obtain standard scaling solutions usually used in the context of
the quintessential scenario. For other choice of the parameters, the theory
allows a scaling solution with equation of state p_{\phi}=w\rho_{\phi} where w
is restricted by -1<w<-0.82. The regime where the fermionic matter dominates
(as compared to the dilatonic contribution) is analyzed. There it is found that
starting from a single fermionic field we obtain exactly three different types
of spin 1/2 particles in CEF that appears to suggest a new approach to the
family problem of particle physics. It is automatically achieved that for two
of them, fermion masses are constants, gravitational equations are canonical
and the "fifth force" is absent. For the third type of particles, a fermionic
self-interaction appears as a result of SSB of scale invariance.
| [
{
"created": "Thu, 4 Oct 2001 08:53:08 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Dec 2001 14:57:44 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Dec 2003 06:25:23 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Guendelman",
"E. I.",
""
],
[
"Kaganovich",
"A. B.",
""
]
] | We study a scale invariant two measures theory where a dilaton field \phi has no explicit potentials. The scale transformations include a shift \phi\to\phi+const. The theory demonstrates a new mechanism for gene- ration of the exponential potential: in the conformal Einstein frame (CEF), after SSB of scale invariance, the theory develops the exponential potential and, in general, non-linear kinetic term is generated as well. The possibility of quintessence solutions are shown. As an example, for one choice of the parameters we obtain standard scaling solutions usually used in the context of the quintessential scenario. For other choice of the parameters, the theory allows a scaling solution with equation of state p_{\phi}=w\rho_{\phi} where w is restricted by -1<w<-0.82. The regime where the fermionic matter dominates (as compared to the dilatonic contribution) is analyzed. There it is found that starting from a single fermionic field we obtain exactly three different types of spin 1/2 particles in CEF that appears to suggest a new approach to the family problem of particle physics. It is automatically achieved that for two of them, fermion masses are constants, gravitational equations are canonical and the "fifth force" is absent. For the third type of particles, a fermionic self-interaction appears as a result of SSB of scale invariance. |
1808.08735 | Subhroneel Chakrabarti | Subhroneel Chakrabarti, Sitender Pratap Kashyap, Mritunjay Verma | Amplitudes Involving Massive States Using Pure Spinor Formalism | 33 pages | null | 10.1007/JHEP12(2018)071 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Same amplitudes evaluated independently using RNS and pure spinor formalism
are expected to agree. While for massless states, this fact has been firmly
established, for massive states such an explicit check has been lacking so far.
We compute all massless-massless-massive 3-point functions in open supertrings
in pure spinor formalism for the first massive states and compare them with the
corresponding RNS results. We fix the normalization of the vertex operators of
the massive states by comparing same set of 3-point functions for a fixed
ordering in the two formalisms. Once fixed, the subsequent 3-point functions
for each inequivalent ordering match exactly. This extends the explicit
demonstration of equivalence of pure spinor and RNS formalism from massless
states to first massive states.
| [
{
"created": "Mon, 27 Aug 2018 08:48:22 GMT",
"version": "v1"
}
] | 2018-12-26 | [
[
"Chakrabarti",
"Subhroneel",
""
],
[
"Kashyap",
"Sitender Pratap",
""
],
[
"Verma",
"Mritunjay",
""
]
] | Same amplitudes evaluated independently using RNS and pure spinor formalism are expected to agree. While for massless states, this fact has been firmly established, for massive states such an explicit check has been lacking so far. We compute all massless-massless-massive 3-point functions in open supertrings in pure spinor formalism for the first massive states and compare them with the corresponding RNS results. We fix the normalization of the vertex operators of the massive states by comparing same set of 3-point functions for a fixed ordering in the two formalisms. Once fixed, the subsequent 3-point functions for each inequivalent ordering match exactly. This extends the explicit demonstration of equivalence of pure spinor and RNS formalism from massless states to first massive states. |
2103.03563 | Yoshinori Matsuo | Koji Hashimoto, Yoshinori Matsuo | Nuclear binding energy in holographic QCD | 7 pages, 1 fugure; v2: a footnote added; v3: published version | Phys. Rev. D 104, 026006 (2021) | 10.1103/PhysRevD.104.026006 | OU-HET-1093 | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Saturation of the nuclear binding energy is one of the most important
properties of atomic nuclei. We derive the saturation in holographic QCD, by
building a shell-model-like mean-field nuclear potential from the nuclear
density profile obtained in a holographic multi-baryon effective theory. The
numerically estimated binding energy is close to the experimental value.
| [
{
"created": "Fri, 5 Mar 2021 09:46:11 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Apr 2021 09:20:19 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Jul 2021 07:37:32 GMT",
"version": "v3"
}
] | 2021-07-21 | [
[
"Hashimoto",
"Koji",
""
],
[
"Matsuo",
"Yoshinori",
""
]
] | Saturation of the nuclear binding energy is one of the most important properties of atomic nuclei. We derive the saturation in holographic QCD, by building a shell-model-like mean-field nuclear potential from the nuclear density profile obtained in a holographic multi-baryon effective theory. The numerically estimated binding energy is close to the experimental value. |
2207.12772 | Dmitry Chernyak | Dmitry Chernyak, Azat M. Gainutdinov and Hubert Saleur | $U_q\mathfrak{sl}_2$-invariant non-compact boundary conditions for the
XXZ spin chain | 54 pages | J. of High Energy Phys. 2022 16 (2022) | 10.1007/JHEP11(2022)016 | null | hep-th cond-mat.stat-mech math-ph math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce new $U_q\mathfrak{sl}_2$-invariant boundary conditions for the
open XXZ spin chain. For generic values of $q$ we couple the bulk Hamiltonian
to an infinite-dimensional Verma module on one or both boundaries of the spin
chain, and for $q=e^{\frac{i\pi}{p}}$ a $2p$-th root of unity $ - $ to its
$p$-dimensional analogue. Both cases are parametrised by a continuous "spin"
$\alpha\in\mathbb{C}$.
To motivate our construction, we first specialise to $q=i$, where we obtain a
modified XX Hamiltonian with unrolled quantum group symmetry, whose spectrum
and scaling limit is computed explicitly using free fermions. In the continuum,
this model is identified with the $(\eta,\xi)$ ghost CFT on the upper-half
plane with a continuum of conformally invariant boundary conditions on the real
axis. The different sectors of the Hamiltonian are identified with irreducible
Virasoro representations.
Going back to generic $q$ we investigate the algebraic properties of the
underlying lattice algebras. We show that if $q^\alpha\notin\pm
q^{\mathbb{Z}}$, the new boundary coupling provides a faithful representation
of the blob algebra which is Schur-Weyl dual to $U_q\mathfrak{sl}_2$. Then,
modifying the boundary conditions on both the left and the right, we obtain a
representation of the universal two-boundary Temperley-Lieb algebra. The
generators and parameters of these representations are computed explicitly in
terms of $q$ and $\alpha$. Finally, we conjecture the general form of the
Schur-Weyl duality in this case.
This paper is the first in a series where we will study, at all values of the
parameters, the spectrum and its continuum limit, the representation content of
the relevant lattice algebras and the fusion properties of these new spin
chains.
| [
{
"created": "Tue, 26 Jul 2022 09:41:46 GMT",
"version": "v1"
}
] | 2022-11-29 | [
[
"Chernyak",
"Dmitry",
""
],
[
"Gainutdinov",
"Azat M.",
""
],
[
"Saleur",
"Hubert",
""
]
] | We introduce new $U_q\mathfrak{sl}_2$-invariant boundary conditions for the open XXZ spin chain. For generic values of $q$ we couple the bulk Hamiltonian to an infinite-dimensional Verma module on one or both boundaries of the spin chain, and for $q=e^{\frac{i\pi}{p}}$ a $2p$-th root of unity $ - $ to its $p$-dimensional analogue. Both cases are parametrised by a continuous "spin" $\alpha\in\mathbb{C}$. To motivate our construction, we first specialise to $q=i$, where we obtain a modified XX Hamiltonian with unrolled quantum group symmetry, whose spectrum and scaling limit is computed explicitly using free fermions. In the continuum, this model is identified with the $(\eta,\xi)$ ghost CFT on the upper-half plane with a continuum of conformally invariant boundary conditions on the real axis. The different sectors of the Hamiltonian are identified with irreducible Virasoro representations. Going back to generic $q$ we investigate the algebraic properties of the underlying lattice algebras. We show that if $q^\alpha\notin\pm q^{\mathbb{Z}}$, the new boundary coupling provides a faithful representation of the blob algebra which is Schur-Weyl dual to $U_q\mathfrak{sl}_2$. Then, modifying the boundary conditions on both the left and the right, we obtain a representation of the universal two-boundary Temperley-Lieb algebra. The generators and parameters of these representations are computed explicitly in terms of $q$ and $\alpha$. Finally, we conjecture the general form of the Schur-Weyl duality in this case. This paper is the first in a series where we will study, at all values of the parameters, the spectrum and its continuum limit, the representation content of the relevant lattice algebras and the fusion properties of these new spin chains. |
1606.03487 | Sebasti\'an Alberto Franchino Vi\~nas | S. Franchino Vi\~nas and F. Vega | Magnetic properties of a Fermi gas in a noncommutative phase space | 15 pages, 2 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the precision attained by SQUID devices in measuring magnetic
fields, we study in this article the thermodynamic behaviour of a fermion gas
in two and three dimen\-sional spatial space with noncommutative coordinates
and momenta. An explicit expression, both for Landau's diamagnetism and Pauli's
paramagnetism, is obtained for the magnetization and magnetic susceptibility of
the gas in two and three spatial dimensions. These results show that an upper
bound for the noncommutative parameter $\theta\lesssim (10 \,\text{Gev})^{-2}$
could be obtained.
| [
{
"created": "Fri, 10 Jun 2016 21:22:47 GMT",
"version": "v1"
}
] | 2016-06-14 | [
[
"Viñas",
"S. Franchino",
""
],
[
"Vega",
"F.",
""
]
] | Motivated by the precision attained by SQUID devices in measuring magnetic fields, we study in this article the thermodynamic behaviour of a fermion gas in two and three dimen\-sional spatial space with noncommutative coordinates and momenta. An explicit expression, both for Landau's diamagnetism and Pauli's paramagnetism, is obtained for the magnetization and magnetic susceptibility of the gas in two and three spatial dimensions. These results show that an upper bound for the noncommutative parameter $\theta\lesssim (10 \,\text{Gev})^{-2}$ could be obtained. |
1808.08155 | Tobias Hansen | Agnese Bissi, Tobias Hansen, Alexander S\"oderberg | Analytic Bootstrap for Boundary CFT | 22 pages, 4 figures, v2: minor improvements, v3: fix a typo | JHEP 1901 (2019) 010 | 10.1007/JHEP01(2019)010 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We propose a method to analytically solve the bootstrap equation for two
point functions in boundary CFT. We consider the analytic structure of the
correlator in Lorentzian signature and in particular the discontinuity of bulk
and boundary conformal blocks to extract CFT data. As an application, the
correlator $\langle \phi \phi \rangle$ in $\phi^4$ theory at the Wilson-Fisher
fixed point is computed to order $\epsilon^2$ in the $\epsilon$ expansion.
| [
{
"created": "Fri, 24 Aug 2018 14:23:54 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Sep 2018 17:31:57 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Nov 2019 12:42:50 GMT",
"version": "v3"
}
] | 2019-11-14 | [
[
"Bissi",
"Agnese",
""
],
[
"Hansen",
"Tobias",
""
],
[
"Söderberg",
"Alexander",
""
]
] | We propose a method to analytically solve the bootstrap equation for two point functions in boundary CFT. We consider the analytic structure of the correlator in Lorentzian signature and in particular the discontinuity of bulk and boundary conformal blocks to extract CFT data. As an application, the correlator $\langle \phi \phi \rangle$ in $\phi^4$ theory at the Wilson-Fisher fixed point is computed to order $\epsilon^2$ in the $\epsilon$ expansion. |
0805.2764 | Nicolas Boulanger | Nicolas Boulanger, Serge Leclercq and Per Sundell | On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory | Improved version with new results added in relation with abelian
vertices. References added, corrected typos | JHEP 0808:056,2008 | 10.1088/1126-6708/2008/08/056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the uniqueness of the minimal couplings between higher-spin fields
and gravity. These couplings are cubic vertices built from gauge non-invariant
connections that induce non-abelian deformations of the gauge algebra. We show
that Fradkin-Vasiliev's cubic 2-s-s vertex, which contains up to 2s-2
derivatives dressed by a cosmological constant $\Lambda$, has a limit where:
{(i)} $\Lambda\to 0$; {(ii)} the spin-2 Weyl tensor scales
{\emph{non-uniformly}} with s; and {(iii)} all lower-derivative couplings are
scaled away. For s=3 the limit yields the unique non-abelian spin 2-3-3 vertex
found recently by two of the authors, thereby proving the \emph{uniqueness} of
the corresponding FV vertex. We extend the analysis to s=4 and a class of spin
1-s-s vertices. The non-universality of the flat limit high-lightens not only
the problematic aspects of higher-spin interactions with $\Lambda=0$ but also
the strongly coupled nature of the derivative expansion of the fully nonlinear
higher-spin field equations with $\L\neq 0$, wherein the standard minimal
couplings mediated via the Lorentz connection are \emph{subleading} at energy
scales $\sqrt{|\Lambda|}<< E<< M_{\rm p}$. Finally, combining our results with
those obtained by Metsaev, we give the complete list of \emph{all} the
manifestly covariant cubic couplings of the form 1-s-s and 2-s-s, in Minkowski
background.
| [
{
"created": "Mon, 19 May 2008 19:59:35 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jun 2008 19:59:39 GMT",
"version": "v2"
}
] | 2009-12-10 | [
[
"Boulanger",
"Nicolas",
""
],
[
"Leclercq",
"Serge",
""
],
[
"Sundell",
"Per",
""
]
] | We address the uniqueness of the minimal couplings between higher-spin fields and gravity. These couplings are cubic vertices built from gauge non-invariant connections that induce non-abelian deformations of the gauge algebra. We show that Fradkin-Vasiliev's cubic 2-s-s vertex, which contains up to 2s-2 derivatives dressed by a cosmological constant $\Lambda$, has a limit where: {(i)} $\Lambda\to 0$; {(ii)} the spin-2 Weyl tensor scales {\emph{non-uniformly}} with s; and {(iii)} all lower-derivative couplings are scaled away. For s=3 the limit yields the unique non-abelian spin 2-3-3 vertex found recently by two of the authors, thereby proving the \emph{uniqueness} of the corresponding FV vertex. We extend the analysis to s=4 and a class of spin 1-s-s vertices. The non-universality of the flat limit high-lightens not only the problematic aspects of higher-spin interactions with $\Lambda=0$ but also the strongly coupled nature of the derivative expansion of the fully nonlinear higher-spin field equations with $\L\neq 0$, wherein the standard minimal couplings mediated via the Lorentz connection are \emph{subleading} at energy scales $\sqrt{|\Lambda|}<< E<< M_{\rm p}$. Finally, combining our results with those obtained by Metsaev, we give the complete list of \emph{all} the manifestly covariant cubic couplings of the form 1-s-s and 2-s-s, in Minkowski background. |
2308.08547 | Shubho Roy | Arpan Bhattacharyya, Manas Dogra, Shubho R. Roy | CFT reconstruction of local bulk operators in half-Minkowski space | Updated bibliography, Updated discussion section, 20 pages, 2 figures | Phys. Rev. D 110, 026026 (2024) | 10.1103/PhysRevD.110.026026 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a holographic map that reconstructs massless fields (scalars,
Maxwell field \& Fierz-Pauli field) in half-Minkowski spacetime in $d+1$
dimensions terms of smeared primary operators in a large $N$ factorizable CFT
in $\mathbb{R}^{d-1,1}$ spacetime dimensions. This map is based on a Weyl
(rescaling) transformation from the Poincar\'e wedge of AdS to the Minkowski
half-space; and on the HKLL smearing function, which reconstructs local bulk
operators in the Poincar\'e AdS in terms of smeared operators on the conformal
boundary of the Poincar\'e wedge. The massless scalar field is reconstructed up
to the level of two-point functions, while the Maxwell field and massless
spin-2 fields are reconstructed at the level of the one-point function. We also
discuss potential ways the map can be generalized to higher dimensions, and to
the full Minkowski space.
| [
{
"created": "Wed, 16 Aug 2023 17:59:27 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 2023 13:41:10 GMT",
"version": "v2"
}
] | 2024-07-30 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Dogra",
"Manas",
""
],
[
"Roy",
"Shubho R.",
""
]
] | We construct a holographic map that reconstructs massless fields (scalars, Maxwell field \& Fierz-Pauli field) in half-Minkowski spacetime in $d+1$ dimensions terms of smeared primary operators in a large $N$ factorizable CFT in $\mathbb{R}^{d-1,1}$ spacetime dimensions. This map is based on a Weyl (rescaling) transformation from the Poincar\'e wedge of AdS to the Minkowski half-space; and on the HKLL smearing function, which reconstructs local bulk operators in the Poincar\'e AdS in terms of smeared operators on the conformal boundary of the Poincar\'e wedge. The massless scalar field is reconstructed up to the level of two-point functions, while the Maxwell field and massless spin-2 fields are reconstructed at the level of the one-point function. We also discuss potential ways the map can be generalized to higher dimensions, and to the full Minkowski space. |
1202.0831 | Gokce Basar | Gokce Basar, Dmitri E. Kharzeev, Ho-Ung Yee and Ismail Zahed | Holographic Pomeron and the Schwinger Mechanism | 17 pages, 4 figures, version 2: minor typos corrected, references
added | Phys.Rev. D85 (2012) 105005 | 10.1103/PhysRevD.85.105005 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the problem of dipole-dipole scattering via exchanges of soft
Pomerons in the context of holographic QCD. We show that a single closed string
exchange contribution to the eikonalized dipole-dipole scattering amplitude
yields a Regge behavior of the elastic amplitude; the corresponding slope and
intercept are different from previous results obtained by a variational
analysis of semi-classical surfaces. We provide a physical interpretation of
the semi-classical worldsheets driving the Regge behavior for (-t)>0 in terms
of worldsheet instantons. The latter describe the Schwinger mechanism for
string pair creation by an electric field, where the longitudinal electric
field E_L=\sigma_T tanh(\chi/2) at the origin of this non-perturbative
mechanism is induced by the relative rapidity {\chi} of the scattering dipoles.
Our analysis naturally explains the diffusion in the impact parameter space
encoded in the Pomeron exchange; in our picture, it is due to the Unruh
temperature of accelerated strings under the electric field. We also argue for
the existence of a "micro-fireball" in the middle of the transverse space due
to the soft Pomeron exchange, which may be at the origin of the thermal
character of multiparticle production in ep/pp collisions. After summing over
uncorrelated multi-Pomeron exchanges, we find that the total dipole-dipole
cross section obeys the Froissart unitarity bound.
| [
{
"created": "Fri, 3 Feb 2012 22:07:04 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Apr 2012 10:46:34 GMT",
"version": "v2"
}
] | 2013-09-26 | [
[
"Basar",
"Gokce",
""
],
[
"Kharzeev",
"Dmitri E.",
""
],
[
"Yee",
"Ho-Ung",
""
],
[
"Zahed",
"Ismail",
""
]
] | We revisit the problem of dipole-dipole scattering via exchanges of soft Pomerons in the context of holographic QCD. We show that a single closed string exchange contribution to the eikonalized dipole-dipole scattering amplitude yields a Regge behavior of the elastic amplitude; the corresponding slope and intercept are different from previous results obtained by a variational analysis of semi-classical surfaces. We provide a physical interpretation of the semi-classical worldsheets driving the Regge behavior for (-t)>0 in terms of worldsheet instantons. The latter describe the Schwinger mechanism for string pair creation by an electric field, where the longitudinal electric field E_L=\sigma_T tanh(\chi/2) at the origin of this non-perturbative mechanism is induced by the relative rapidity {\chi} of the scattering dipoles. Our analysis naturally explains the diffusion in the impact parameter space encoded in the Pomeron exchange; in our picture, it is due to the Unruh temperature of accelerated strings under the electric field. We also argue for the existence of a "micro-fireball" in the middle of the transverse space due to the soft Pomeron exchange, which may be at the origin of the thermal character of multiparticle production in ep/pp collisions. After summing over uncorrelated multi-Pomeron exchanges, we find that the total dipole-dipole cross section obeys the Froissart unitarity bound. |
hep-th/0205273 | Niclas Sandstrom | Ludde Edgren and Niclas Sandstrom | First order gauge field theories from a superfield formulation | 18 pages, Latex, no figures, references and some comments added | JHEP 0209 (2002) 036 | 10.1088/1126-6708/2002/09/036 | null | hep-th | null | Recently, Batalin and Marnelius proposed a superfield algorithm for master
actions in the BV-formulation for a class of first order gauge field theories.
Possible theories are determined by a ghost number prescription and a simple
local master equation. We investigate consistent solutions of these local
master equations with emphasis on four and six dimensional theories.
| [
{
"created": "Mon, 27 May 2002 11:41:47 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Sep 2002 14:11:15 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Edgren",
"Ludde",
""
],
[
"Sandstrom",
"Niclas",
""
]
] | Recently, Batalin and Marnelius proposed a superfield algorithm for master actions in the BV-formulation for a class of first order gauge field theories. Possible theories are determined by a ghost number prescription and a simple local master equation. We investigate consistent solutions of these local master equations with emphasis on four and six dimensional theories. |
2309.16542 | George Tringas | George Tringas | Anisotropic scale-separated AdS$_4$ flux vacua | 27 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present minimally supersymmetric AdS$_4$ flux vacua derived from massive
type IIA compactified on $T^6/\mathbb{Z}_3\times \mathbb{Z}_3$ orbifold,
characterized by unconstrained fluxes with general scaling. We discover
anisotropic scaling solutions where scale separation is realized in the
supergravity limit and the subvolumes of the internal space become large and
anisotropic for large values of unconstrained fluxes. Additionally, we identify
regimes where subvolumes are either shrinking or remain constant while scale
separation is either broken or realized. Then we employ a probe anti-D4-brane
to interpolate between vacua, finding that it interpolates through the regimes
we previously identified. Finally, we utilize an open string modulus of the
anti-D4-brane to calculate the distance between vacua for the regime where
scale separation is realized in the supergravity limit. We show the dependence
of both the geodesic distance and the distance conjecture parameter on the flux
scaling.
| [
{
"created": "Thu, 28 Sep 2023 15:53:53 GMT",
"version": "v1"
}
] | 2023-09-29 | [
[
"Tringas",
"George",
""
]
] | We present minimally supersymmetric AdS$_4$ flux vacua derived from massive type IIA compactified on $T^6/\mathbb{Z}_3\times \mathbb{Z}_3$ orbifold, characterized by unconstrained fluxes with general scaling. We discover anisotropic scaling solutions where scale separation is realized in the supergravity limit and the subvolumes of the internal space become large and anisotropic for large values of unconstrained fluxes. Additionally, we identify regimes where subvolumes are either shrinking or remain constant while scale separation is either broken or realized. Then we employ a probe anti-D4-brane to interpolate between vacua, finding that it interpolates through the regimes we previously identified. Finally, we utilize an open string modulus of the anti-D4-brane to calculate the distance between vacua for the regime where scale separation is realized in the supergravity limit. We show the dependence of both the geodesic distance and the distance conjecture parameter on the flux scaling. |
0805.1861 | Mohsen Alishahiha | Mohsen Alishahiha, Farhad Ardalan | Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence | 12 pages, latex file; V2: typos corrected, refs added. V3:
Corrections and clarifications in section two; conclusion didn't change, few
comments added, typos corrected | JHEP 0808:079,2008 | 10.1088/1126-6708/2008/08/079 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 2D Maxwell-dilaton gravity on AdS(2). We distinguish two distinctive
cases depending on whether the AdS(2) solution can be lifted to an AdS(3)
geometry. In both cases, in order to get a consistent boundary condition we
need to work with a twisted energy momentum tensor which has non-zero central
charge. With this central charge and the explicit form of the twisted Virasoro
generators we compute the entropy of the system using the Cardy formula. The
entropy is found to be the same as that obtained from gravity calculations for
a specific value of the level of the U(1) current. The agreement is an
indication of $AdS(2)/CFT(1) correspondence.
| [
{
"created": "Tue, 13 May 2008 14:12:47 GMT",
"version": "v1"
},
{
"created": "Mon, 26 May 2008 07:56:58 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Aug 2008 08:57:55 GMT",
"version": "v3"
}
] | 2009-12-04 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Ardalan",
"Farhad",
""
]
] | We study 2D Maxwell-dilaton gravity on AdS(2). We distinguish two distinctive cases depending on whether the AdS(2) solution can be lifted to an AdS(3) geometry. In both cases, in order to get a consistent boundary condition we need to work with a twisted energy momentum tensor which has non-zero central charge. With this central charge and the explicit form of the twisted Virasoro generators we compute the entropy of the system using the Cardy formula. The entropy is found to be the same as that obtained from gravity calculations for a specific value of the level of the U(1) current. The agreement is an indication of $AdS(2)/CFT(1) correspondence. |
1612.06904 | Edward Corrigan | E Corrigan and R Parini | Type I integrable defects and finite-gap solutions for KdV and
sine-Gordon models | 43 pages, 4 figures; two references and a dedication added | null | 10.1088/1751-8121/aa7612 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The main purpose of this paper is to extend results, which have been obtained
previously to describe the classical scattering of solitons with integrable
defects of type I, to include the much larger and intricate collection of
finite-gap solutions defined in terms of generalised theta functions. In this
context, it is generally not feasible to adopt a direct approach, via ansatze
for the fields to either side of the defect tuned to satisfy the defect sewing
conditions. Rather, essential use is made of the fact that the defect sewing
conditions themselves are intimately related to Backlund transformations in
order to set up a strategy to enable the calculation of the field on one side
by suitably transforming the field on the other side. The method is implemented
using Darboux transformations and illustrated in detail for the sine-Gordon and
KdV models. An exception, treatable by both methods, indirect and direct, is
provided by the genus 1 solutions. These can be expressed in terms of Jacobi
elliptic functions, which satisfy a number of useful identities of relevance to
this problem. There are new features to the solutions obtained in the
finite-gap context but, in all cases, if a (multi)soliton limit is taken within
the finite-gap solutions previously known results are recovered.
| [
{
"created": "Tue, 20 Dec 2016 22:33:57 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2017 16:41:14 GMT",
"version": "v2"
}
] | 2017-08-02 | [
[
"Corrigan",
"E",
""
],
[
"Parini",
"R",
""
]
] | The main purpose of this paper is to extend results, which have been obtained previously to describe the classical scattering of solitons with integrable defects of type I, to include the much larger and intricate collection of finite-gap solutions defined in terms of generalised theta functions. In this context, it is generally not feasible to adopt a direct approach, via ansatze for the fields to either side of the defect tuned to satisfy the defect sewing conditions. Rather, essential use is made of the fact that the defect sewing conditions themselves are intimately related to Backlund transformations in order to set up a strategy to enable the calculation of the field on one side by suitably transforming the field on the other side. The method is implemented using Darboux transformations and illustrated in detail for the sine-Gordon and KdV models. An exception, treatable by both methods, indirect and direct, is provided by the genus 1 solutions. These can be expressed in terms of Jacobi elliptic functions, which satisfy a number of useful identities of relevance to this problem. There are new features to the solutions obtained in the finite-gap context but, in all cases, if a (multi)soliton limit is taken within the finite-gap solutions previously known results are recovered. |
hep-th/9709033 | Mirjam Cvetic | Mirjam Cvetic, Christopher M. Hull | Wrapped Branes and Supersymmetry | 18 pages, Latex with Revtex, minor corrections and references added,
version to appear in Nuclear Physics B | Nucl.Phys.B519:141-158,1998 | 10.1016/S0550-3213(98)00019-4 | null | hep-th | null | Configurations of two or more branes wrapping different homology cycles of
space-time are considered and the amount of supersymmetry preserved is
analysed, generalising the analysis of multiple branes in flat space. For K3
compactifications, these give the Type II or M theory origin of certain
supersymmetric four-dimensional heterotic string solutions that fit into
spin-3/2 multiplets and which become massless at certain points in moduli
space. The interpretation of these BPS states and the possibility of
supersymmetry enhancement are discussed.
| [
{
"created": "Wed, 3 Sep 1997 22:57:21 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Nov 1997 23:14:40 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Hull",
"Christopher M.",
""
]
] | Configurations of two or more branes wrapping different homology cycles of space-time are considered and the amount of supersymmetry preserved is analysed, generalising the analysis of multiple branes in flat space. For K3 compactifications, these give the Type II or M theory origin of certain supersymmetric four-dimensional heterotic string solutions that fit into spin-3/2 multiplets and which become massless at certain points in moduli space. The interpretation of these BPS states and the possibility of supersymmetry enhancement are discussed. |
hep-th/0108025 | Adam Lewandowski | Adam Lewandowski and Raman Sundrum | RS1, Higher Derivatives and Stability | 30 pages | Phys.Rev.D65:044003,2002 | 10.1103/PhysRevD.65.044003 | null | hep-th hep-ph | null | We demonstrate the classical stability of the weak/Planck hierarchy within
the Randall-Sundrum scenario, incorporating the Goldberger-Wise mechanism and
higher-derivative interactions in a systematic perturbative expansion. Such
higher-derivative interactions are expected if the RS model is the low-energy
description of some more fundamental theory. Generically, higher derivatives
lead to ill-defined singularities in the vicinity of effective field theory
branes. These are carefully treated by the methods of classical
renormalization.
| [
{
"created": "Mon, 6 Aug 2001 19:23:22 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Lewandowski",
"Adam",
""
],
[
"Sundrum",
"Raman",
""
]
] | We demonstrate the classical stability of the weak/Planck hierarchy within the Randall-Sundrum scenario, incorporating the Goldberger-Wise mechanism and higher-derivative interactions in a systematic perturbative expansion. Such higher-derivative interactions are expected if the RS model is the low-energy description of some more fundamental theory. Generically, higher derivatives lead to ill-defined singularities in the vicinity of effective field theory branes. These are carefully treated by the methods of classical renormalization. |
1802.01912 | Zi-qiang Zhang | Zi-qiang Zhang, Ke Ma and De-fu Hou | Drag force in strongly coupled $\mathcal{N}=4$ SYM plasma in a magnetic
field | 8 pages, 3 figures | J. Phys. G: Nucl. Part. Phys. 45 (2018) 025003 | 10.1088/1361-6471/aaa097 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Applying AdS/CFT correspondence, we study the effect of a constant magnetic
field $\mathcal{B}$ on the drag force associated with a heavy quark moving
through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM)
plasma. The quark is considered moving transverse and parallel to
$\mathcal{B}$, respectively. It is shown that for transverse case, the drag
force is linearly dependent on $\mathcal{B}$ in all regions. While for parallel
case, the drag force increases monotonously with increasing $\mathcal{B}$ and
also reveals a linear behavior in the regions of strong $\mathcal{B}$. In
addition, we find that $\mathcal{B}$ has important effect for transverse case
than parallel.
| [
{
"created": "Tue, 6 Feb 2018 12:46:31 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2018 10:39:21 GMT",
"version": "v2"
}
] | 2018-02-28 | [
[
"Zhang",
"Zi-qiang",
""
],
[
"Ma",
"Ke",
""
],
[
"Hou",
"De-fu",
""
]
] | Applying AdS/CFT correspondence, we study the effect of a constant magnetic field $\mathcal{B}$ on the drag force associated with a heavy quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) plasma. The quark is considered moving transverse and parallel to $\mathcal{B}$, respectively. It is shown that for transverse case, the drag force is linearly dependent on $\mathcal{B}$ in all regions. While for parallel case, the drag force increases monotonously with increasing $\mathcal{B}$ and also reveals a linear behavior in the regions of strong $\mathcal{B}$. In addition, we find that $\mathcal{B}$ has important effect for transverse case than parallel. |
1706.07402 | Szabolcs Zakany | Marcos Marino and Szabolcs Zakany | Wavefunctions, integrability, and open strings | 33 pages, 5 figures; v2: minor corrections added | null | null | null | hep-th math-ph math.AG math.MP math.SP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been recently conjectured that the exact eigenfunctions of quantum
mirror curves can be obtained by combining their WKB expansion with the open
topological string wavefunction. In this paper we give further evidence for
this conjecture. We present closed expressions for the wavefunctions in the
so-called maximally supersymmetric case, in various geometries. In the higher
genus case, our conjecture provides a solution to the quantum Baxter equation
of the corresponding cluster integrable system, and we argue that the
quantization conditions of the integrable system follow from imposing
appropriate asymptotic conditions on the wavefunction. We also present checks
of the conjecture for general values of the Planck constant.
| [
{
"created": "Thu, 22 Jun 2017 17:06:21 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2018 17:39:17 GMT",
"version": "v2"
}
] | 2018-12-21 | [
[
"Marino",
"Marcos",
""
],
[
"Zakany",
"Szabolcs",
""
]
] | It has been recently conjectured that the exact eigenfunctions of quantum mirror curves can be obtained by combining their WKB expansion with the open topological string wavefunction. In this paper we give further evidence for this conjecture. We present closed expressions for the wavefunctions in the so-called maximally supersymmetric case, in various geometries. In the higher genus case, our conjecture provides a solution to the quantum Baxter equation of the corresponding cluster integrable system, and we argue that the quantization conditions of the integrable system follow from imposing appropriate asymptotic conditions on the wavefunction. We also present checks of the conjecture for general values of the Planck constant. |
hep-th/0311059 | Sabino Matarrese | Sabino Matarrese (Phys. Dept. and INFN, Padova), Marcello A. Musso
(Phys. Dept. and INFN, Pavia), Antonio Riotto (INFN, Padova) | Influence of Super-Horizon Scales on Cosmological Observables Generated
during Inflation | 19 pages, 5 figures. One reference added | JCAP 0405 (2004) 008 | 10.1088/1475-7516/2004/05/008 | DFPD 03/A/42; FNT 2003/14 | hep-th astro-ph gr-qc hep-ph | null | Using the techniques of out-of-equilibrium field theory, we study the
influence on the properties of cosmological perturbations generated during
inflation on observable scales coming from fluctuations corresponding today to
scales much bigger than the present Hubble radius. We write the effective
action for the coarse-grained inflaton perturbations integrating out the
sub-horizon modes, which manifest themselves as a colored noise and lead to
memory effects. Using the simple model of a scalar field with cubic
self-interactions evolving in a fixed de Sitter background, we evaluate the
two- and three-point correlation function on observable scales. Our basic
procedure shows that perturbations do preserve some memory of the
super-horizon-scale dynamics, in the form of scale-dependent imprints in the
statistical moments. In particular, we find a blue tilt of the power-spectrum
on large scales, in agreement with the recent results of the WMAP collaboration
which show a suppression of the lower multipoles in the Cosmic Microwave
Background anisotropies, and a substantial enhancement of the intrinsic
non-Gaussianity on large scales
| [
{
"created": "Fri, 7 Nov 2003 13:37:48 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Nov 2003 16:55:33 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Nov 2003 19:09:01 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Matarrese",
"Sabino",
"",
"Phys. Dept. and INFN, Padova"
],
[
"Musso",
"Marcello A.",
"",
"Phys. Dept. and INFN, Pavia"
],
[
"Riotto",
"Antonio",
"",
"INFN, Padova"
]
] | Using the techniques of out-of-equilibrium field theory, we study the influence on the properties of cosmological perturbations generated during inflation on observable scales coming from fluctuations corresponding today to scales much bigger than the present Hubble radius. We write the effective action for the coarse-grained inflaton perturbations integrating out the sub-horizon modes, which manifest themselves as a colored noise and lead to memory effects. Using the simple model of a scalar field with cubic self-interactions evolving in a fixed de Sitter background, we evaluate the two- and three-point correlation function on observable scales. Our basic procedure shows that perturbations do preserve some memory of the super-horizon-scale dynamics, in the form of scale-dependent imprints in the statistical moments. In particular, we find a blue tilt of the power-spectrum on large scales, in agreement with the recent results of the WMAP collaboration which show a suppression of the lower multipoles in the Cosmic Microwave Background anisotropies, and a substantial enhancement of the intrinsic non-Gaussianity on large scales |
2207.12266 | Nicolas Wink | Friederike Ihssen, Jan M. Pawlowski, Franz R. Sattler, Nicolas Wink | Local Discontinuous Galerkin for the Functional Renormalisation Group | 18 pages, 10 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the Local Discontinuous Galerkin discretisation to flow equations of
the O(N)-model in the Local Potential Approximation. The improved stability is
directly observed by solving the flow equation for various $N$ and space-time
dimensions $d$. A particular focus of this work is the numerical discretisation
and its implementation. The code is publicly available, and is explained in
detail here. It is realised as a module within the high performance PDE
framework DUNE.
| [
{
"created": "Mon, 25 Jul 2022 15:38:13 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Aug 2022 09:57:04 GMT",
"version": "v2"
}
] | 2022-08-17 | [
[
"Ihssen",
"Friederike",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Sattler",
"Franz R.",
""
],
[
"Wink",
"Nicolas",
""
]
] | We apply the Local Discontinuous Galerkin discretisation to flow equations of the O(N)-model in the Local Potential Approximation. The improved stability is directly observed by solving the flow equation for various $N$ and space-time dimensions $d$. A particular focus of this work is the numerical discretisation and its implementation. The code is publicly available, and is explained in detail here. It is realised as a module within the high performance PDE framework DUNE. |
hep-th/0008134 | Ichiro Oda | Ichiro Oda | Localization of Gravitino on a Brane | 7 pages, LaTex 2e, no figures | Prog.Theor.Phys. 105 (2001) 667-672 | 10.1143/PTP.105.667 | EDO-EP-33 | hep-th | null | We show how the spin 3/2 gravitino field can be localized on a brane in a
general framework of supergravity theory. Provided that a scalar field coupled
to the Rarita-Schwinger field develops an vacuum expectation value (VEV) whose
phase depends on the 'radial' coordinate in extra internal space, the gravitino
is localized on a brane with the exponentially decreasing warp factor by
selecting an appropriate value of the VEV.
| [
{
"created": "Thu, 17 Aug 2000 11:43:05 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Oda",
"Ichiro",
""
]
] | We show how the spin 3/2 gravitino field can be localized on a brane in a general framework of supergravity theory. Provided that a scalar field coupled to the Rarita-Schwinger field develops an vacuum expectation value (VEV) whose phase depends on the 'radial' coordinate in extra internal space, the gravitino is localized on a brane with the exponentially decreasing warp factor by selecting an appropriate value of the VEV. |
hep-th/9308081 | Grosche Christian | Christian Grosche | Towards the Classification of Exactly Solvable Feynman Path Integrals:
$\delta$-Function Perturbations and Boundary-Problems as Miscellaneous
Solvable Models | nine pagex, LaTeX, SISSA/124/93/FM | null | null | null | hep-th | null | Invited talk given at the ``International Workshop on `Symmetry Methods in
Physics' in memory of Ya.\ A.\ Smorodinsky, 5--10 July 1993, Dubna, Russia; to
appear in the proceedings. In this contribution I present further results on
steps towards a Table of Feynman Path Integrals. Whereas the usual path
integral solutions of the harmonic oscillator (Gaussian path integrals), of the
radial harmonic oscillator (Besselian path integrals), and the (modified)
P\"oschl-Teller potential(s) (Legendrian path integrals) are well known and can
be performed explicitly by exploiting the convolution properties of the various
types, a perturbative method opens other possibilities for calculating path
integrals. Here I want to demonstrate the perturbation expansion method for
point interactions and boundary problems in path integrals.
| [
{
"created": "Tue, 17 Aug 1993 15:34:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grosche",
"Christian",
""
]
] | Invited talk given at the ``International Workshop on `Symmetry Methods in Physics' in memory of Ya.\ A.\ Smorodinsky, 5--10 July 1993, Dubna, Russia; to appear in the proceedings. In this contribution I present further results on steps towards a Table of Feynman Path Integrals. Whereas the usual path integral solutions of the harmonic oscillator (Gaussian path integrals), of the radial harmonic oscillator (Besselian path integrals), and the (modified) P\"oschl-Teller potential(s) (Legendrian path integrals) are well known and can be performed explicitly by exploiting the convolution properties of the various types, a perturbative method opens other possibilities for calculating path integrals. Here I want to demonstrate the perturbation expansion method for point interactions and boundary problems in path integrals. |
hep-th/9710099 | Michael Lashkevich | Michael Lashkevich and Yaroslav Pugai (Landau Institute for
Theoretical Physics) | Free Field Construction for Correlation Functions of the Eight-Vertex
Model | 22 pages, uses pictex.tex, typos corrected and minor changes | Nucl.Phys. B516 (1998) 623-651 | 10.1016/S0550-3213(98)00086-8 | LANDAU-97-TMP-5 | hep-th math.QA nlin.SI q-alg solv-int | null | A free field representation for the type $I$ vertex operators and the corner
transfer matrices of the eight-vertex model is proposed. The construction uses
the vertex-face correspondence, which makes it possible to express correlation
functions of the eight-vertex model in terms of correlation functions of the
SOS model with a nonlocal insertion. This new nonlocal insertion admits of a
free field representation in terms of Lukyanov's screening operator. The
spectrum of the corner transfer matrix and the Baxter--Kelland formula for the
average staggered polarization have been reproduced.
| [
{
"created": "Mon, 13 Oct 1997 18:12:05 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Oct 1997 21:46:37 GMT",
"version": "v2"
},
{
"created": "Fri, 31 Oct 1997 18:17:18 GMT",
"version": "v3"
},
{
"created": "Sun, 22 Feb 1998 19:46:48 GMT",
"version": "v4"
}
] | 2009-10-30 | [
[
"Lashkevich",
"Michael",
"",
"Landau Institute for\n Theoretical Physics"
],
[
"Pugai",
"Yaroslav",
"",
"Landau Institute for\n Theoretical Physics"
]
] | A free field representation for the type $I$ vertex operators and the corner transfer matrices of the eight-vertex model is proposed. The construction uses the vertex-face correspondence, which makes it possible to express correlation functions of the eight-vertex model in terms of correlation functions of the SOS model with a nonlocal insertion. This new nonlocal insertion admits of a free field representation in terms of Lukyanov's screening operator. The spectrum of the corner transfer matrix and the Baxter--Kelland formula for the average staggered polarization have been reproduced. |
0910.3155 | Andrea Campoleoni | Andrea Campoleoni (AEI) | Metric-like Lagrangian Formulations for Higher-Spin Fields of Mixed
Symmetry | 136 pages, LaTeX. References added. Final version to appear in La
Rivista del Nuovo Cimento. | null | 10.1393/ncr/i2010-10053-2 | AEI-2009-104 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the structure of local Lagrangians and field equations for free
bosonic and fermionic gauge fields of mixed symmetry in flat space. These are
first presented in a constrained setting extending the metric formulation of
linearized gravity, and then the ($\gamma$-)trace constraints on fields and
gauge parameters are eliminated via the introduction of auxiliary fields. We
also display the emergence of Weyl-like symmetries in particular classes of
models in low space-time dimensions.
| [
{
"created": "Fri, 16 Oct 2009 18:28:41 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Apr 2010 21:02:58 GMT",
"version": "v2"
}
] | 2021-02-24 | [
[
"Campoleoni",
"Andrea",
"",
"AEI"
]
] | We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting extending the metric formulation of linearized gravity, and then the ($\gamma$-)trace constraints on fields and gauge parameters are eliminated via the introduction of auxiliary fields. We also display the emergence of Weyl-like symmetries in particular classes of models in low space-time dimensions. |
0803.4445 | Bal\'azs Pozsgay | B. Pozsgay | Luscher's mu-term and finite volume bootstrap principle for scattering
states and form factors | 21 pages, 35 eps figures, LaTeX2e file | Nucl.Phys.B802:435-457,2008 | 10.1016/j.nuclphysb.2008.04.021 | ITP-Budapest Report No. 638 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the leading order finite size correction (Luscher's mu-term)
associated to moving one-particle states, arbitrary scattering states and
finite volume form factors in 1+1 dimensional integrable models. Our method is
based on the idea that the mu-term is intimately connected to the inner
structure of the particles, ie. their composition under the bootstrap program.
We use an appropriate analytic continuation of the Bethe-Yang equations to
quantize bound states in finite volume and obtain the leading mu-term
(associated to symmetric particle fusions) by calculating the deviations from
the predictions of the ordinary Bethe-Yang quantization. Our results are
compared to numerical data of the E8 scattering theory obtained by truncated
fermionic space approach. As a by-product it is shown that the bound state
quantization does not only yield the correct mu-term, but also provides the sum
over a subset of higher order corrections as well.
| [
{
"created": "Mon, 31 Mar 2008 12:31:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Pozsgay",
"B.",
""
]
] | We study the leading order finite size correction (Luscher's mu-term) associated to moving one-particle states, arbitrary scattering states and finite volume form factors in 1+1 dimensional integrable models. Our method is based on the idea that the mu-term is intimately connected to the inner structure of the particles, ie. their composition under the bootstrap program. We use an appropriate analytic continuation of the Bethe-Yang equations to quantize bound states in finite volume and obtain the leading mu-term (associated to symmetric particle fusions) by calculating the deviations from the predictions of the ordinary Bethe-Yang quantization. Our results are compared to numerical data of the E8 scattering theory obtained by truncated fermionic space approach. As a by-product it is shown that the bound state quantization does not only yield the correct mu-term, but also provides the sum over a subset of higher order corrections as well. |
2404.11644 | Raphael Bousso | Raphael Bousso and Sami Kaya | Geometric Quantum States Beyond AdS/CFT | 13 pages, 4 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We characterize the quantum states dual to entanglement wedges in arbitrary
spacetimes, in settings where the matter entropy can be neglected compared to
the geometric entropy. In AdS/CFT, such states obey special entropy
inequalities known as the holographic entropy cone. In particular, the mutual
information of CFT subregions is monogamous (MMI). We extend this result to
arbitrary spacetimes, using a recent proposal for the generalized entanglement
wedge e(a) of a gravitating region a. Given independent input regions a, b, and
c, we prove MMI:
Area[e(a)]+Area[e(b)]+Area[e(c)]-Area[e(ab)]-Area[e(bc)]-Area[e(ca)]+Area[e(abc)]
$\leq$ 0. We expect that the full holographic entropy cone can be extended to
arbitrary spacetimes using similar methods.
| [
{
"created": "Wed, 17 Apr 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-04-19 | [
[
"Bousso",
"Raphael",
""
],
[
"Kaya",
"Sami",
""
]
] | We characterize the quantum states dual to entanglement wedges in arbitrary spacetimes, in settings where the matter entropy can be neglected compared to the geometric entropy. In AdS/CFT, such states obey special entropy inequalities known as the holographic entropy cone. In particular, the mutual information of CFT subregions is monogamous (MMI). We extend this result to arbitrary spacetimes, using a recent proposal for the generalized entanglement wedge e(a) of a gravitating region a. Given independent input regions a, b, and c, we prove MMI: Area[e(a)]+Area[e(b)]+Area[e(c)]-Area[e(ab)]-Area[e(bc)]-Area[e(ca)]+Area[e(abc)] $\leq$ 0. We expect that the full holographic entropy cone can be extended to arbitrary spacetimes using similar methods. |
1906.07203 | Jacob Ciafre Mr | Jacob Ciafre, Shahar Hadar, Erin Rickenbach, Maria J. Rodriguez | Generalized Near Horizon Extreme Binary Black Hole Geometry | 4 figures | Phys. Rev. D 100, 044033 (2019) | 10.1103/PhysRevD.100.044033 | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new vacuum solution of Einstein's equations describing the near
horizon region of two neutral, extreme (zero-temperature), co-rotating,
non-identical Kerr black holes. The metric is stationary, asymptotically near
horizon extremal Kerr (NHEK), and contains a localized massless strut along the
symmetry axis between the black holes. In the deep infrared, it flows to two
separate throats which we call "pierced-NHEK" geometries: each throat is NHEK
pierced by a conical singularity. We find that in spite of the presence of the
strut for the pierced-NHEK geometries the isometry group SL(2,R)xU(1) is
restored. We find the physical parameters and entropy.
| [
{
"created": "Mon, 17 Jun 2019 18:01:09 GMT",
"version": "v1"
}
] | 2019-08-21 | [
[
"Ciafre",
"Jacob",
""
],
[
"Hadar",
"Shahar",
""
],
[
"Rickenbach",
"Erin",
""
],
[
"Rodriguez",
"Maria J.",
""
]
] | We present a new vacuum solution of Einstein's equations describing the near horizon region of two neutral, extreme (zero-temperature), co-rotating, non-identical Kerr black holes. The metric is stationary, asymptotically near horizon extremal Kerr (NHEK), and contains a localized massless strut along the symmetry axis between the black holes. In the deep infrared, it flows to two separate throats which we call "pierced-NHEK" geometries: each throat is NHEK pierced by a conical singularity. We find that in spite of the presence of the strut for the pierced-NHEK geometries the isometry group SL(2,R)xU(1) is restored. We find the physical parameters and entropy. |
2406.08405 | Tommaso Canneti | Tommaso Canneti | On the asymptotic density of states in solvable models of strings | LaTeX, 26 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a closed formula for the asymptotic density of states for a class
of solvable superstring models on curved backgrounds. The result accounts for
the effects of the curvature of the target space in a concise way.
| [
{
"created": "Wed, 12 Jun 2024 16:53:28 GMT",
"version": "v1"
}
] | 2024-06-13 | [
[
"Canneti",
"Tommaso",
""
]
] | We present a closed formula for the asymptotic density of states for a class of solvable superstring models on curved backgrounds. The result accounts for the effects of the curvature of the target space in a concise way. |
1405.6471 | Nirmalendu Acharyya | Nirmalendu Acharyya, Nitin Chandra and Sachindeo Vaidya | Quantum Entropy for the Fuzzy Sphere and its Monopoles | 21 pages, typos corrected | JHEP 11 (2014) 078 | 10.1007/JHEP11(2014)078 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using generalized bosons, we construct the fuzzy sphere $S_F^2$ and monopoles
on $S_F^2$ in a reducible representation of $SU(2)$. The corresponding quantum
states are naturally obtained using the GNS-construction. We show that there is
an emergent non-abelian unitary gauge symmetry which is in the commutant of the
algebra of observables. The quantum states are necessarily mixed and have
non-vanishing von Neumann entropy, which increases monotonically under a
bistochastic Markov map. The maximum value of the entropy has a simple relation
to the degeneracy of the irreps that constitute the reducible representation
that underlies the fuzzy sphere.
| [
{
"created": "Mon, 26 May 2014 06:21:46 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jun 2014 05:58:48 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Acharyya",
"Nirmalendu",
""
],
[
"Chandra",
"Nitin",
""
],
[
"Vaidya",
"Sachindeo",
""
]
] | Using generalized bosons, we construct the fuzzy sphere $S_F^2$ and monopoles on $S_F^2$ in a reducible representation of $SU(2)$. The corresponding quantum states are naturally obtained using the GNS-construction. We show that there is an emergent non-abelian unitary gauge symmetry which is in the commutant of the algebra of observables. The quantum states are necessarily mixed and have non-vanishing von Neumann entropy, which increases monotonically under a bistochastic Markov map. The maximum value of the entropy has a simple relation to the degeneracy of the irreps that constitute the reducible representation that underlies the fuzzy sphere. |
hep-th/0406210 | Ofer Aharony | Ofer Aharony, Joe Marsano, Shiraz Minwalla and Toby Wiseman | Black hole-black string phase transitions in thermal 1+1-dimensional
supersymmetric Yang-Mills theory on a circle | 21 pages, revtex, 11 figures. v2: small corrections, added references
and a new appendix on the relation of our work to previous discussions of the
same theory | Class.Quant.Grav.21:5169-5192,2004 | 10.1088/0264-9381/21/22/010 | WIS/17/04-JUNE-DPP | hep-th gr-qc hep-lat | null | We review and extend earlier work that uses the AdS/CFT correspondence to
relate the black hole-black string transition of gravitational theories on a
circle to a phase transition in maximally supersymmetric 1+1-dimensional SU(N)
gauge theories at large N, again compactified on a circle. We perform gravity
calculations to determine a likely phase diagram for the strongly coupled gauge
theory. We then directly study the phase structure of the same gauge theory,
now at weak 't Hooft coupling. In the interesting temperature regime for the
phase transition, we may reduce the 1+1-dimensional theory to a 0+1-dimensional
bosonic theory, which we solve using Monte Carlo methods. We find strong
evidence that the weakly coupled gauge theory also exhibits a black hole-black
string like phase transition in the large N limit. We demonstrate that a simple
Landau-Ginzburg like model describes the behaviour near the phase transition
remarkably well. The weak coupling transition appears to be close to the cusp
between a first order and a second order transition.
| [
{
"created": "Wed, 23 Jun 2004 13:48:38 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Aug 2004 16:41:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Aharony",
"Ofer",
""
],
[
"Marsano",
"Joe",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Wiseman",
"Toby",
""
]
] | We review and extend earlier work that uses the AdS/CFT correspondence to relate the black hole-black string transition of gravitational theories on a circle to a phase transition in maximally supersymmetric 1+1-dimensional SU(N) gauge theories at large N, again compactified on a circle. We perform gravity calculations to determine a likely phase diagram for the strongly coupled gauge theory. We then directly study the phase structure of the same gauge theory, now at weak 't Hooft coupling. In the interesting temperature regime for the phase transition, we may reduce the 1+1-dimensional theory to a 0+1-dimensional bosonic theory, which we solve using Monte Carlo methods. We find strong evidence that the weakly coupled gauge theory also exhibits a black hole-black string like phase transition in the large N limit. We demonstrate that a simple Landau-Ginzburg like model describes the behaviour near the phase transition remarkably well. The weak coupling transition appears to be close to the cusp between a first order and a second order transition. |
hep-th/9309105 | Matthias R. Gaberdiel | M. Gaberdiel | Fusion rules of chiral algebras | 23 pages, Latex, DAMTP-93-56 (minor corrections only) | Nucl.Phys. B417 (1994) 130-150 | 10.1016/0550-3213(94)90540-1 | null | hep-th | null | Recently (hep-th/9307183) we showed that for the case of the WZW- and the
minimal models fusion can be understood as a certain ring-like tensor product
of the symmetry algebra. In this paper we generalize this analysis to arbitrary
chiral algebras. We define the tensor product of conformal field theory in the
general case and prove that it is associative and symmetric up to equivalence.
We also determine explicitly the action of the chiral algebra on this tensor
product. In the second part of the paper we demonstrate that this framework
provides a powerful tool for calculating restrictions for the fusion rules of
chiral algebras. We exhibit this for the case of the $W_{3}$-algebra and the
$N=1$ and $N=2$ NS superconformal algebras.
| [
{
"created": "Mon, 20 Sep 1993 14:06:46 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Dec 1993 15:26:25 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Gaberdiel",
"M.",
""
]
] | Recently (hep-th/9307183) we showed that for the case of the WZW- and the minimal models fusion can be understood as a certain ring-like tensor product of the symmetry algebra. In this paper we generalize this analysis to arbitrary chiral algebras. We define the tensor product of conformal field theory in the general case and prove that it is associative and symmetric up to equivalence. We also determine explicitly the action of the chiral algebra on this tensor product. In the second part of the paper we demonstrate that this framework provides a powerful tool for calculating restrictions for the fusion rules of chiral algebras. We exhibit this for the case of the $W_{3}$-algebra and the $N=1$ and $N=2$ NS superconformal algebras. |
1009.0107 | Maiko Kohriki | Maiko Kohriki, Hiroshi Kunitomo and Masaki Murata | No-Ghost Theorem for Neveu-Schwarz String in 0-Picture | 18 pages, v2:typos corrected, v3:published version, v4:typos
corrected | Prog.Theor.Phys.124:953-968,2010 | 10.1143/PTP.124.953 | YITP-10-75 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The no-ghost theorem for Neveu-Schwarz string is directly proved in
0-picture. The one-to-one correspondence between physical states in 0-picture
and those in the conventional (-1)-picture are confirmed. It is shown that a
non-trivial metric consistent with the BRST cohomology is needed to define a
positive semi-definite norm in the physical Hilbert space. As a by-product, we
find a new inverse picture changing operator, which is non-covariant but has
non-singular operator product with itself. A possibility to construct a new
gauge invariant superstring field theory is discussed.
| [
{
"created": "Wed, 1 Sep 2010 07:48:16 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Nov 2010 07:05:58 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Dec 2010 05:38:37 GMT",
"version": "v3"
},
{
"created": "Tue, 31 Jan 2012 12:03:20 GMT",
"version": "v4"
}
] | 2012-02-01 | [
[
"Kohriki",
"Maiko",
""
],
[
"Kunitomo",
"Hiroshi",
""
],
[
"Murata",
"Masaki",
""
]
] | The no-ghost theorem for Neveu-Schwarz string is directly proved in 0-picture. The one-to-one correspondence between physical states in 0-picture and those in the conventional (-1)-picture are confirmed. It is shown that a non-trivial metric consistent with the BRST cohomology is needed to define a positive semi-definite norm in the physical Hilbert space. As a by-product, we find a new inverse picture changing operator, which is non-covariant but has non-singular operator product with itself. A possibility to construct a new gauge invariant superstring field theory is discussed. |
hep-th/0603159 | Yuji Okawa | Yuji Okawa (MIT) | Comments on Schnabl's analytic solution for tachyon condensation in
Witten's open string field theory | 33 pages, 4 figures, LaTeX2e; v2: minor changes, version published in
JHEP | JHEP0604:055,2006 | 10.1088/1126-6708/2006/04/055 | MIT-CTP-3727 | hep-th | null | Schnabl recently constructed an analytic solution for tachyon condensation in
Witten's open string field theory. The solution consists of two pieces. Only
the first piece is involved in proving that the solution satisfies the equation
of motion when contracted with any state in the Fock space. On the other hand,
both pieces contribute in evaluating the kinetic term to reproduce the value
predicted by Sen's conjecture. We therefore need to understand why the second
piece is necessary. We evaluate the cubic term of the string field theory
action for Schnabl's solution and use it to show that the second piece is
necessary for the equation of motion contracted with the solution itself to be
satisfied. We also present the solution in various forms including a pure-gauge
configuration and provide simpler proofs that it satisfies the equation of
motion.
| [
{
"created": "Tue, 21 Mar 2006 20:01:02 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Apr 2006 17:37:54 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Okawa",
"Yuji",
"",
"MIT"
]
] | Schnabl recently constructed an analytic solution for tachyon condensation in Witten's open string field theory. The solution consists of two pieces. Only the first piece is involved in proving that the solution satisfies the equation of motion when contracted with any state in the Fock space. On the other hand, both pieces contribute in evaluating the kinetic term to reproduce the value predicted by Sen's conjecture. We therefore need to understand why the second piece is necessary. We evaluate the cubic term of the string field theory action for Schnabl's solution and use it to show that the second piece is necessary for the equation of motion contracted with the solution itself to be satisfied. We also present the solution in various forms including a pure-gauge configuration and provide simpler proofs that it satisfies the equation of motion. |
1205.1614 | Yanyan Bu | Yanyan Bu | 1+1-dimensional p-wave superconductors from intersecting D-branes | v2: matched with the published version | Phys. Rev. D 86, 106005 (2012) | 10.1103/PhysRevD.86.106005 | MPP-2012-81 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we explore 1+1 dimensional p-wave superconductors using the
probe D-brane construction. Specifically, we choose three intersecting D-brane
models: D1/D5, D2/D4 and D3/D3 systems. According to the dilaton running
behavior, we denote the former two systems as nonconformal models and the last
system as conformal. We find that all three models are qualitatively similar in
describing superconducting condensate as well as some basic features (such as
the gap formation and DC superconductivity) of superconducting conductivity.
There also exist some differences among the three models as far as the AC
conductivity is concerned. Specifically, for D3/D3 model there is no peak at
nonzero frequency for the imaginary part of the conductivity, which is present
in the nonconformal models; their asymptotic behaviors are different-for D1/D5
the real part of the AC conductivity approaches one at large frequency limit,
for D2/D4 it slowly goes to a certain nonzero constant smaller than one and for
D3/D3 it goes to zero. We find the profile of the AC conductivity for the D1/D5
system is very similar to that of higher dimensional p-wave superconductors.
| [
{
"created": "Tue, 8 May 2012 07:38:58 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Oct 2012 21:10:48 GMT",
"version": "v2"
}
] | 2012-11-21 | [
[
"Bu",
"Yanyan",
""
]
] | In this work we explore 1+1 dimensional p-wave superconductors using the probe D-brane construction. Specifically, we choose three intersecting D-brane models: D1/D5, D2/D4 and D3/D3 systems. According to the dilaton running behavior, we denote the former two systems as nonconformal models and the last system as conformal. We find that all three models are qualitatively similar in describing superconducting condensate as well as some basic features (such as the gap formation and DC superconductivity) of superconducting conductivity. There also exist some differences among the three models as far as the AC conductivity is concerned. Specifically, for D3/D3 model there is no peak at nonzero frequency for the imaginary part of the conductivity, which is present in the nonconformal models; their asymptotic behaviors are different-for D1/D5 the real part of the AC conductivity approaches one at large frequency limit, for D2/D4 it slowly goes to a certain nonzero constant smaller than one and for D3/D3 it goes to zero. We find the profile of the AC conductivity for the D1/D5 system is very similar to that of higher dimensional p-wave superconductors. |
1604.02041 | Astrid Eichhorn | Astrid Eichhorn, Aaron Held and Jan M. Pawlowski | Quantum-gravity effects on a Higgs-Yukawa model | 13 pages + appendix, 10 figures, simplified basis for induced
couplings | Phys. Rev. D 94, 104027 (2016) | 10.1103/PhysRevD.94.104027 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A phenomenologically viable theory of quantum gravity must accommodate all
observed matter degrees of freedom and their properties. Here, we explore
whether a toy model of the Higgs-Yukawa sector of the Standard Model is
compatible with asymptotically safe quantum gravity. We discuss the
phenomenological implications of our result in the context of the Standard
Model. We analyze the quantum scaling dimension of the system, and find an
irrelevant Yukawa coupling at a joint gravity-matter fixed point. Further, we
explore the impact of gravity-induced couplings between scalars and fermions,
which are non-vanishing in asymptotically safe gravity.
| [
{
"created": "Thu, 7 Apr 2016 15:32:39 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Sep 2016 18:21:18 GMT",
"version": "v2"
}
] | 2016-11-15 | [
[
"Eichhorn",
"Astrid",
""
],
[
"Held",
"Aaron",
""
],
[
"Pawlowski",
"Jan M.",
""
]
] | A phenomenologically viable theory of quantum gravity must accommodate all observed matter degrees of freedom and their properties. Here, we explore whether a toy model of the Higgs-Yukawa sector of the Standard Model is compatible with asymptotically safe quantum gravity. We discuss the phenomenological implications of our result in the context of the Standard Model. We analyze the quantum scaling dimension of the system, and find an irrelevant Yukawa coupling at a joint gravity-matter fixed point. Further, we explore the impact of gravity-induced couplings between scalars and fermions, which are non-vanishing in asymptotically safe gravity. |
2206.13531 | Raghu Mahajan | Dan Stefan Eniceicu, Raghu Mahajan, Chitraang Murdia, Ashoke Sen | Multi-instantons in minimal string theory and in matrix integrals | 23 pages, plus appendices, 1 figure | null | 10.1007/JHEP10(2022)065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the normalization of the general multi-instanton contribution to
the partition function of $(p',p)$ minimal string theory and also to the dual
two-matrix integral. We find perfect agreement between the two results.
| [
{
"created": "Mon, 27 Jun 2022 18:00:02 GMT",
"version": "v1"
}
] | 2022-10-26 | [
[
"Eniceicu",
"Dan Stefan",
""
],
[
"Mahajan",
"Raghu",
""
],
[
"Murdia",
"Chitraang",
""
],
[
"Sen",
"Ashoke",
""
]
] | We compute the normalization of the general multi-instanton contribution to the partition function of $(p',p)$ minimal string theory and also to the dual two-matrix integral. We find perfect agreement between the two results. |
1412.2830 | Yuji Tachikawa | Yuji Tachikawa | Magnetic discrete gauge field in the confining vacua and the
supersymmetric index | 12 pages | null | 10.1007/JHEP03(2015)035 | IPMU-14-0350, UT-14-47 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been argued that the confining vacua of Yang-Mills theory in
the far infrared can have topological degrees of freedom given by magnetic
$\mathbb{Z}_q$ gauge field, both in the non-supersymmetric case and in the N=1
supersymmetric case. In this short note we give another piece of evidence by
computing and matching the supersymmetric index of the pure super Yang-Mills
theory both in the ultraviolet and in the infrared.
| [
{
"created": "Tue, 9 Dec 2014 01:43:13 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Tachikawa",
"Yuji",
""
]
] | It has recently been argued that the confining vacua of Yang-Mills theory in the far infrared can have topological degrees of freedom given by magnetic $\mathbb{Z}_q$ gauge field, both in the non-supersymmetric case and in the N=1 supersymmetric case. In this short note we give another piece of evidence by computing and matching the supersymmetric index of the pure super Yang-Mills theory both in the ultraviolet and in the infrared. |
0908.3921 | Kazem Bitaghsir Fadafan | M. Ali-Akbari and K. Bitaghsir Fadafan | Rotating mesons in the presence of higher derivative corrections from
gauge-string duality | 21 pages, 11 figures, NPB version, corrections to the effects of
higher derivative terms | Nucl.Phys.B835:221-237,2010 | 10.1016/j.nuclphysb.2010.04.006 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a rotating quark-antiquark $(q\bar{q})$ pair in $\mathcal{N}=4$
thermal plasma. By using AdS/CFT correspondence, the properties of this system
have been investigated. We study variation of rotating string radius at the
boundary as a function of the tip of U-shape string and angular velocity of
rotating meson. We also extend the results to the higher derivative corrections
i.e. ${\cal{R}}^2$ and ${\cal{R}}^4$ which correspond to finite coupling
corrections on the rotating quark-antiquark system in the hot plasma. In
${\cal{R}}^4$ case and for fixed angular velocity as $\lambda^{-1}$ decreases
the string endpoints get more and more separated. To study ${\cal{R}}^2$
corrections, rotating quark-antiquark system in Gauss-Bonnet background has
been considered. We summarize the effects of these corrections in the
conclusion section.
| [
{
"created": "Thu, 27 Aug 2009 00:55:20 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Apr 2010 04:21:09 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Feb 2011 18:33:11 GMT",
"version": "v3"
}
] | 2011-02-18 | [
[
"Ali-Akbari",
"M.",
""
],
[
"Fadafan",
"K. Bitaghsir",
""
]
] | We consider a rotating quark-antiquark $(q\bar{q})$ pair in $\mathcal{N}=4$ thermal plasma. By using AdS/CFT correspondence, the properties of this system have been investigated. We study variation of rotating string radius at the boundary as a function of the tip of U-shape string and angular velocity of rotating meson. We also extend the results to the higher derivative corrections i.e. ${\cal{R}}^2$ and ${\cal{R}}^4$ which correspond to finite coupling corrections on the rotating quark-antiquark system in the hot plasma. In ${\cal{R}}^4$ case and for fixed angular velocity as $\lambda^{-1}$ decreases the string endpoints get more and more separated. To study ${\cal{R}}^2$ corrections, rotating quark-antiquark system in Gauss-Bonnet background has been considered. We summarize the effects of these corrections in the conclusion section. |
hep-th/0106139 | Daniel Arnaudon | D. Arnaudon, A. Sedrakyan, T. Sedrakyan, P. Sorba | Generalization of the U_q(gl(N)) algebra and staggered models | 12 pages ; Latex2e | Lett.Math.Phys. 58 (2001) 209-222 | 10.1023/A:1014504526934 | LAPTH-855/01 | hep-th cond-mat.str-el | null | We develop a technique of construction of integrable models with a Z_2
grading of both the auxiliary (chain) and quantum (time) spaces. These models
have a staggered disposition of the anisotropy parameter. The corresponding
Yang-Baxter Equations are written down and their solution for the gl(N) case
are found. We analyze in details the N=2 case and find the corresponding
quantum group behind this solution. It can be regarded as quantum
U_{q,B}(gl(2)) group with a matrix deformation parameter qB with (qB)^2=q^2.
The symmetry behind these models can also be interpreted as the tensor product
of the (-1)-Weyl algebra by an extension of U_q(gl(N)) with a Cartan generator
related to deformation parameter -1.
| [
{
"created": "Fri, 15 Jun 2001 15:39:04 GMT",
"version": "v1"
}
] | 2008-03-17 | [
[
"Arnaudon",
"D.",
""
],
[
"Sedrakyan",
"A.",
""
],
[
"Sedrakyan",
"T.",
""
],
[
"Sorba",
"P.",
""
]
] | We develop a technique of construction of integrable models with a Z_2 grading of both the auxiliary (chain) and quantum (time) spaces. These models have a staggered disposition of the anisotropy parameter. The corresponding Yang-Baxter Equations are written down and their solution for the gl(N) case are found. We analyze in details the N=2 case and find the corresponding quantum group behind this solution. It can be regarded as quantum U_{q,B}(gl(2)) group with a matrix deformation parameter qB with (qB)^2=q^2. The symmetry behind these models can also be interpreted as the tensor product of the (-1)-Weyl algebra by an extension of U_q(gl(N)) with a Cartan generator related to deformation parameter -1. |
0710.0404 | Ludmila Joukovskaya | L. Joukovskaya | Rolling Tachyon in Nonlocal Cosmology | 4 pages, 2 figures. Contribution to the proceedings of PASCOS-07, 2-7
July 2007, Imperial College, London | AIPConf.Proc.957:325-328,2007 | 10.1063/1.2823793 | DAMTP-2007-90 | hep-th | null | Nonlocal cosmological models derived from String Field Theory are considered.
A new method for constructing rolling tachyon solutions in the FRW metric in
two field configuration is proposed and solutions of the Friedman equations
with nonlocal operator are presented. The cosmological properties of these
solutions are discussed.
| [
{
"created": "Mon, 1 Oct 2007 23:13:14 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Joukovskaya",
"L.",
""
]
] | Nonlocal cosmological models derived from String Field Theory are considered. A new method for constructing rolling tachyon solutions in the FRW metric in two field configuration is proposed and solutions of the Friedman equations with nonlocal operator are presented. The cosmological properties of these solutions are discussed. |
hep-th/0411073 | Andrew Neitzke | Robbert Dijkgraaf, Sergei Gukov, Andrew Neitzke, Cumrun Vafa | Topological M-theory as Unification of Form Theories of Gravity | 65 pages, 2 figures, harvmac; v2: references added, small
corrections/clarifications | Adv.Theor.Math.Phys.9:603-665,2005 | null | HUTP-04/A042, ITFA-2004-54 | hep-th | null | We introduce a notion of topological M-theory and argue that it provides a
unification of form theories of gravity in various dimensions. Its classical
solutions involve G_2 holonomy metrics on 7-manifolds, obtained from a
topological action for a 3-form gauge field introduced by Hitchin. We show that
by reductions of this 7-dimensional theory one can classically obtain
6-dimensional topological A and B models, the self-dual sector of loop quantum
gravity in 4 dimensions, and Chern-Simons gravity in 3 dimensions. We also find
that the 7-dimensional M-theory perspective sheds some light on the fact that
the topological string partition function is a wavefunction, as well as on
S-duality between the A and B models. The degrees of freedom of the A and B
models appear as conjugate variables in the 7-dimensional theory. Finally, from
the topological M-theory perspective we find hints of an intriguing holographic
link between non-supersymmetric Yang-Mills in 4 dimensions and A model
topological strings on twistor space.
| [
{
"created": "Fri, 5 Nov 2004 20:22:18 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Apr 2005 05:12:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dijkgraaf",
"Robbert",
""
],
[
"Gukov",
"Sergei",
""
],
[
"Neitzke",
"Andrew",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holonomy metrics on 7-manifolds, obtained from a topological action for a 3-form gauge field introduced by Hitchin. We show that by reductions of this 7-dimensional theory one can classically obtain 6-dimensional topological A and B models, the self-dual sector of loop quantum gravity in 4 dimensions, and Chern-Simons gravity in 3 dimensions. We also find that the 7-dimensional M-theory perspective sheds some light on the fact that the topological string partition function is a wavefunction, as well as on S-duality between the A and B models. The degrees of freedom of the A and B models appear as conjugate variables in the 7-dimensional theory. Finally, from the topological M-theory perspective we find hints of an intriguing holographic link between non-supersymmetric Yang-Mills in 4 dimensions and A model topological strings on twistor space. |
2106.09390 | Anthony Guillen | Ignatios Antoniadis, Anthony Guillen and Kyriakos Tamvakis | Ultraviolet behaviour of Higgs inflation models | 21 pages, 0 figures | null | 10.1007/JHEP08(2021)018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the ultraviolet behaviour of Higgs inflation models above the
apparent unitarity violation scale arising from the large non minimal coupling
to gravity, by computing on-shell 4-point scattering amplitudes in the presence
of a large inflaton background, away from the electroweak vacuum. We find that
all tree-level amplitudes are well behaved at high energies below the inflaton
background that can thus take values up to the Planck scale. This result holds
in both the metric and Palatini formulation, and is independent of the frame
(Jordan or Einstein) as expected. The same result also holds if an $R^2$ term
is added to the action.
| [
{
"created": "Thu, 17 Jun 2021 11:13:08 GMT",
"version": "v1"
}
] | 2021-09-01 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Guillen",
"Anthony",
""
],
[
"Tamvakis",
"Kyriakos",
""
]
] | We study the ultraviolet behaviour of Higgs inflation models above the apparent unitarity violation scale arising from the large non minimal coupling to gravity, by computing on-shell 4-point scattering amplitudes in the presence of a large inflaton background, away from the electroweak vacuum. We find that all tree-level amplitudes are well behaved at high energies below the inflaton background that can thus take values up to the Planck scale. This result holds in both the metric and Palatini formulation, and is independent of the frame (Jordan or Einstein) as expected. The same result also holds if an $R^2$ term is added to the action. |
1508.04831 | Adil Belhaj Rogani | A. Belhaj, M. Chabab, H. EL Moumni, K. Masmar, M. B. Sedra | On Hawking Radiation of 3D Rotating Hairy Black Holes | 8 pages. latex. Final version accepted by Chin. Phys. Lett (2015) | null | 10.1088/0256-307X/32/10/100401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Hawking radiation of 3D rotating hairy black holes. More
concretely, we compute the transition probability of a bosonic and fermionic
particle in such backgrounds. Thew, we show that the transition probability is
independent of the nature of the particle. It is observed that the charge of
the scalar hair B and the rotation parameter a control such a probability.
| [
{
"created": "Wed, 19 Aug 2015 23:28:10 GMT",
"version": "v1"
}
] | 2015-10-28 | [
[
"Belhaj",
"A.",
""
],
[
"Chabab",
"M.",
""
],
[
"Moumni",
"H. EL",
""
],
[
"Masmar",
"K.",
""
],
[
"Sedra",
"M. B.",
""
]
] | We study the Hawking radiation of 3D rotating hairy black holes. More concretely, we compute the transition probability of a bosonic and fermionic particle in such backgrounds. Thew, we show that the transition probability is independent of the nature of the particle. It is observed that the charge of the scalar hair B and the rotation parameter a control such a probability. |
hep-th/9712191 | Gordon Chalmers | Gordon Chalmers and Warren Siegel | T-Dual Formulation of Yang-Mills Theory | 11 pages, tex, clarified title, abstract, body, and references | null | null | ITP-SB-97-75 | hep-th | null | We introduce a self-dual field strength which replaces the gauge field in
spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant
non-linear sigma model. This dualized theory is in both a unitary and
renormalizable gauge: The self-dual field strength has exactly the three
components necessary to describe a massive vector field. In future work we
shall utilize this new formulation as a calculational tool in spontaneously
broken gauge theories.
| [
{
"created": "Thu, 18 Dec 1997 21:05:19 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Feb 1998 15:45:28 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chalmers",
"Gordon",
""
],
[
"Siegel",
"Warren",
""
]
] | We introduce a self-dual field strength which replaces the gauge field in spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant non-linear sigma model. This dualized theory is in both a unitary and renormalizable gauge: The self-dual field strength has exactly the three components necessary to describe a massive vector field. In future work we shall utilize this new formulation as a calculational tool in spontaneously broken gauge theories. |
2403.18242 | Christian Ferko | Stephen Ebert, Christian Ferko, Cian Luke Martin, Gabriele
Tartaglino-Mazzucchelli | Flows in the Space of Interacting Chiral Boson Theories | 108 pages, LaTeX; v3: references added, version accepted for
publication in PRD | Phys. Rev. D 110 (2024), 046005 | 10.1103/PhysRevD.110.046005 | null | hep-th cond-mat.str-el gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study interacting theories of $N$ left-moving and $\overline{N}$
right-moving Floreanini-Jackiw bosons in two dimensions. A parameterized family
of such theories is shown to enjoy (non-manifest) Lorentz invariance if and
only if its Lagrangian obeys a flow equation driven by a function of the
energy-momentum tensor. We discuss the canonical quantization of such theories
along classical stress tensor flows, focusing on the case of the root-$T
\overline{T}$ deformation, where we obtain perturbative results for the
deformed spectrum in a certain large-momentum limit. In the special case $N =
\overline{N}$, we consider the quantum effective action for the root-$T
\overline{T}$-deformed theory by expanding around a general classical
background, and we find that the one-loop contribution vanishes for backgrounds
with constant scalar gradients. Our analysis can also be interpreted via dual
$U(1)$ Chern-Simons theories in three dimensions, which might be used to
describe deformations of charged $\mathrm{AdS}_3$ black holes or quantum Hall
systems.
| [
{
"created": "Wed, 27 Mar 2024 04:18:16 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Apr 2024 03:43:45 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Jul 2024 18:43:56 GMT",
"version": "v3"
}
] | 2024-08-07 | [
[
"Ebert",
"Stephen",
""
],
[
"Ferko",
"Christian",
""
],
[
"Martin",
"Cian Luke",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] | We study interacting theories of $N$ left-moving and $\overline{N}$ right-moving Floreanini-Jackiw bosons in two dimensions. A parameterized family of such theories is shown to enjoy (non-manifest) Lorentz invariance if and only if its Lagrangian obeys a flow equation driven by a function of the energy-momentum tensor. We discuss the canonical quantization of such theories along classical stress tensor flows, focusing on the case of the root-$T \overline{T}$ deformation, where we obtain perturbative results for the deformed spectrum in a certain large-momentum limit. In the special case $N = \overline{N}$, we consider the quantum effective action for the root-$T \overline{T}$-deformed theory by expanding around a general classical background, and we find that the one-loop contribution vanishes for backgrounds with constant scalar gradients. Our analysis can also be interpreted via dual $U(1)$ Chern-Simons theories in three dimensions, which might be used to describe deformations of charged $\mathrm{AdS}_3$ black holes or quantum Hall systems. |
1102.2288 | Sigma | Evgeny A. Ivanov | Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics | null | SIGMA 7:015,2011 | 10.3842/SIGMA.2011.015 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | This is a brief survey of applications of the harmonic superspace methods to
the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on
a recent progress in constructing SQM models with couplings to the background
non-Abelian gauge fields. Besides reviewing and systemizing the relevant
results, we present some new examples and make clarifying comments.
| [
{
"created": "Fri, 11 Feb 2011 05:41:44 GMT",
"version": "v1"
}
] | 2011-03-15 | [
[
"Ivanov",
"Evgeny A.",
""
]
] | This is a brief survey of applications of the harmonic superspace methods to the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on a recent progress in constructing SQM models with couplings to the background non-Abelian gauge fields. Besides reviewing and systemizing the relevant results, we present some new examples and make clarifying comments. |
hep-th/9405066 | Ramy Brustein | R. Brustein | The role of the superstring dilaton in cosmology and particle physics | Latex, 12 pages, preprint CERN-TH.7255/94 | null | null | null | hep-th astro-ph | null | Superstring theory predicts the existence of a scalar field, the dilaton. I
review some basic features of the dilaton interactions and explain their
possible consequences in cosmology and particle physics.
| [
{
"created": "Tue, 10 May 1994 15:16:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Brustein",
"R.",
""
]
] | Superstring theory predicts the existence of a scalar field, the dilaton. I review some basic features of the dilaton interactions and explain their possible consequences in cosmology and particle physics. |
hep-th/9809079 | Matthias Staudacher | Matthias Staudacher | Master Partitions for Large N Matrix Field Theories | 11 pages, LaTeX, REVTEX | Commun.Math.Phys. 206 (1999) 23-32 | 10.1007/s002200050696 | AEI-090 | hep-th | null | We introduce a systematic approach for treating the large N limit of matrix
field theories.
| [
{
"created": "Fri, 11 Sep 1998 17:34:26 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Staudacher",
"Matthias",
""
]
] | We introduce a systematic approach for treating the large N limit of matrix field theories. |
hep-th/0110084 | J. F. Vazquez-Poritz | J.F. Vazquez-Poritz | Branes and Brane Worlds in M-Theory | Ph.D. Thesis, Mirjam Cvetic (advisor), 189 pages, 15 figures, LaTeX | null | null | null | hep-th | null | A new class of warped Anti-de Sitter solutions is found, arising as the
near-horizon region of various semi-localized brane intersections. The dual
gauge theories of AdS in warped spacetimes have reduced supersymmetry, which is
pertinent to the study of viable supersymmetric extensions of the Standard
Model. In addition, various supergravity solutions are probed via the
absorption of various fields. In particular, we calculate exact absorption
probabilities which provide finite-energy probes of supergravity solutions away
from the conformal limit. Lastly, we discuss how brane world scenarios may
arise from the near-horizon region of various p-brane configurations. Motivated
by the dual non-commutative gauge theory, it is shown how a background B field
mimics a negative four-dimensional cosmological constant, such that in both
cases there is a massive four-dimensional graviton.
| [
{
"created": "Tue, 9 Oct 2001 13:59:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vazquez-Poritz",
"J. F.",
""
]
] | A new class of warped Anti-de Sitter solutions is found, arising as the near-horizon region of various semi-localized brane intersections. The dual gauge theories of AdS in warped spacetimes have reduced supersymmetry, which is pertinent to the study of viable supersymmetric extensions of the Standard Model. In addition, various supergravity solutions are probed via the absorption of various fields. In particular, we calculate exact absorption probabilities which provide finite-energy probes of supergravity solutions away from the conformal limit. Lastly, we discuss how brane world scenarios may arise from the near-horizon region of various p-brane configurations. Motivated by the dual non-commutative gauge theory, it is shown how a background B field mimics a negative four-dimensional cosmological constant, such that in both cases there is a massive four-dimensional graviton. |
0905.1030 | Matteo Beccaria | Matteo Beccaria and Guido Macorini | The virtual scaling function of twist operators in the N=6 Chern-Simons
theory | 15 pages, JHEP LaTeX style | JHEP 0909:017,2009 | 10.1088/1126-6708/2009/09/017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider twist-L operators in the planar N=6 superconformal Chern-Simons
ABJM theory. Their anomalous dimension gamma_L^{CS}(N) is a function of the
twist L, the spin N, and the dressed coupling of ABJM. We show that at
next-to-leading order in the large spin expansion, this anomalous dimension is
related to that of N=4 SYM twist operators by a simple scaling law.
| [
{
"created": "Thu, 7 May 2009 14:13:04 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 2009 10:29:51 GMT",
"version": "v2"
}
] | 2009-09-28 | [
[
"Beccaria",
"Matteo",
""
],
[
"Macorini",
"Guido",
""
]
] | We consider twist-L operators in the planar N=6 superconformal Chern-Simons ABJM theory. Their anomalous dimension gamma_L^{CS}(N) is a function of the twist L, the spin N, and the dressed coupling of ABJM. We show that at next-to-leading order in the large spin expansion, this anomalous dimension is related to that of N=4 SYM twist operators by a simple scaling law. |
1805.00984 | Ashoke Sen | Roji Pius and Ashoke Sen | Unitarity of the Box Diagram | LaTeX file, 23 pages including 22 figures | null | 10.1007/JHEP11(2018)094 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The complete proof of cutting rules needed for proving perturbative unitarity
of quantum field theories usually employs the largest time equation or old
fashioned perturbation theory. None of these can be generalized to string field
theory that has non-local vertices. In arXiv:1604.01783 we gave a proof of
cutting rules in string field theory, which also provides an alternative proof
of cutting rules in ordinary quantum field theories. In this note we illustrate
how this works for the box diagram of $\phi^4$ field theory, avoiding the
contributions from anomalous thresholds.
| [
{
"created": "Wed, 2 May 2018 19:05:34 GMT",
"version": "v1"
}
] | 2018-12-05 | [
[
"Pius",
"Roji",
""
],
[
"Sen",
"Ashoke",
""
]
] | The complete proof of cutting rules needed for proving perturbative unitarity of quantum field theories usually employs the largest time equation or old fashioned perturbation theory. None of these can be generalized to string field theory that has non-local vertices. In arXiv:1604.01783 we gave a proof of cutting rules in string field theory, which also provides an alternative proof of cutting rules in ordinary quantum field theories. In this note we illustrate how this works for the box diagram of $\phi^4$ field theory, avoiding the contributions from anomalous thresholds. |
1307.0039 | Olaf Hohm | Olaf Hohm and Henning Samtleben | Gauge theory of Kaluza-Klein and winding modes | 21 pages, v2: ref. updated, typos in eqs. (1.13), (3.44) corrected,
v3: minor corrections, to appear in PRD | Phys. Rev. D 88, 085005 (2013) | 10.1103/PhysRevD.88.085005 | LMU-ASC 44/13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a Kaluza-Klein inspired rewriting of double field theory by
splitting the coordinates into `compact' and `non-compact' directions. There is
no truncation of the compact coordinates or their duals, and so this
formulation is manifestly O(d,d) invariant, with d the number of compact
directions. The action can serve as starting point for arbitrary Kaluza-Klein
ansaetze. For a torus background the theory describes the full tower of
Kaluza-Klein modes or, in the dual frame, of the winding modes. The
Kaluza-Klein vector is a gauge field for the duality-covariantized Courant
bracket algebra rather than a Lie algebra. Gauge covariance requires the
inclusion of the 2-form gauge potential descending from the Kalb-Ramond field,
leading to a structure resembling the tensor hierarchy of gauged supergravity.
| [
{
"created": "Fri, 28 Jun 2013 22:21:47 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jul 2013 10:40:02 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Sep 2013 09:54:20 GMT",
"version": "v3"
}
] | 2013-10-30 | [
[
"Hohm",
"Olaf",
""
],
[
"Samtleben",
"Henning",
""
]
] | We perform a Kaluza-Klein inspired rewriting of double field theory by splitting the coordinates into `compact' and `non-compact' directions. There is no truncation of the compact coordinates or their duals, and so this formulation is manifestly O(d,d) invariant, with d the number of compact directions. The action can serve as starting point for arbitrary Kaluza-Klein ansaetze. For a torus background the theory describes the full tower of Kaluza-Klein modes or, in the dual frame, of the winding modes. The Kaluza-Klein vector is a gauge field for the duality-covariantized Courant bracket algebra rather than a Lie algebra. Gauge covariance requires the inclusion of the 2-form gauge potential descending from the Kalb-Ramond field, leading to a structure resembling the tensor hierarchy of gauged supergravity. |
1310.6185 | Changhyun Ahn | Changhyun Ahn and Jinsub Paeng | Higher Spin Currents in the Holographic N=1 Coset Minimal Model | 97 pages; footnotes 1, 7 and 9 and the last paragraph of Appendix F
added and to appear in JHEP | null | 10.1007/JHEP01(2014)007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the N=1 supersymmetric coset minimal model based on (B_N^{(1)} \oplus
D_N^{(1)}, D_N^{(1)}) at level (k,1) studied recently, the standard N=1 super
stress tensor of spins (3/2,2) is reviewed. By considering the stress tensor in
the coset (B_N^{(1)}, D_N^{(1)}) at level k, the higher spin-2' Casimir current
was obtained previously. By acting the above spin-3/2 current on the higher
spin-2' Casimir current, its superpartner, the higher spin-5/2 current, can be
generated and combined as the first higher spin supercurrent with spins (2',
5/2). By calculating the operator product expansions (OPE) between the higher
spin supercurrent and itself, the next higher spin supercurrent can be
generated with spins (7/2,4). Moreover, the other higher spin supercurrent with
spins (4',9/2) can be generated by calculating the OPE between the first higher
spin supercurrent with spins (2', 5/2) and the second higher spin supercurrent
with spins (7/2,4). Finally, the higher spin supercurrent, (11/2,6), can be
extracted from the right hand side of OPE between the higher spin
supercurrents, (2', 5/2) and (4', 9/2).
| [
{
"created": "Wed, 23 Oct 2013 11:18:21 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Dec 2013 23:43:54 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Ahn",
"Changhyun",
""
],
[
"Paeng",
"Jinsub",
""
]
] | In the N=1 supersymmetric coset minimal model based on (B_N^{(1)} \oplus D_N^{(1)}, D_N^{(1)}) at level (k,1) studied recently, the standard N=1 super stress tensor of spins (3/2,2) is reviewed. By considering the stress tensor in the coset (B_N^{(1)}, D_N^{(1)}) at level k, the higher spin-2' Casimir current was obtained previously. By acting the above spin-3/2 current on the higher spin-2' Casimir current, its superpartner, the higher spin-5/2 current, can be generated and combined as the first higher spin supercurrent with spins (2', 5/2). By calculating the operator product expansions (OPE) between the higher spin supercurrent and itself, the next higher spin supercurrent can be generated with spins (7/2,4). Moreover, the other higher spin supercurrent with spins (4',9/2) can be generated by calculating the OPE between the first higher spin supercurrent with spins (2', 5/2) and the second higher spin supercurrent with spins (7/2,4). Finally, the higher spin supercurrent, (11/2,6), can be extracted from the right hand side of OPE between the higher spin supercurrents, (2', 5/2) and (4', 9/2). |
2111.09070 | Irvin Martinez | Irvin Martinez | Modeling Compact Objects with Effective Field Theory I: The Effective
Action | 37 pages. Accepted master's thesis version. Some text overlap with
arXiv:2301.09239 | null | null | null | hep-th astro-ph.HE gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | This is part 1 of 3 from the master's thesis: Modeling Compact Objects with
Effective Field Theory, supervised by Amanda Weltman. Using the Effective Field
Theory framework for extended objects and the coset construction, we build the
leading order effective action for the most general compact object allowed in
an effective theory of gravity as general relativity. By recognizing the
symmetry breaking pattern of a charged spinning compact object, we derive all
the covariant building blocks and constraints to build up the relevant
invariant operators in the action to all orders. We derive the effective action
for a spinning extended object and make the connection to currently used
theories, which use conjugates variables. Moreover, we build the action of a
charged particle as well, and include the size structure effects, such as tidal
deformation, polarization and dissipation in the quasi-static limit. The
invariant operators in the action are accompanied by coefficients that
encapsulates the properties of the compact object. We match the known
coefficients of the effective action from the literature, and point out the
unknown ones that are to be derived.
| [
{
"created": "Wed, 17 Nov 2021 12:26:25 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Dec 2021 11:46:01 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jan 2022 00:00:19 GMT",
"version": "v3"
},
{
"created": "Sun, 6 Mar 2022 18:06:32 GMT",
"version": "v4"
},
{
"created": "Wed, 25 Jan 2023 17:40:40 GMT",
"version": "v5"
}
] | 2023-01-26 | [
[
"Martinez",
"Irvin",
""
]
] | This is part 1 of 3 from the master's thesis: Modeling Compact Objects with Effective Field Theory, supervised by Amanda Weltman. Using the Effective Field Theory framework for extended objects and the coset construction, we build the leading order effective action for the most general compact object allowed in an effective theory of gravity as general relativity. By recognizing the symmetry breaking pattern of a charged spinning compact object, we derive all the covariant building blocks and constraints to build up the relevant invariant operators in the action to all orders. We derive the effective action for a spinning extended object and make the connection to currently used theories, which use conjugates variables. Moreover, we build the action of a charged particle as well, and include the size structure effects, such as tidal deformation, polarization and dissipation in the quasi-static limit. The invariant operators in the action are accompanied by coefficients that encapsulates the properties of the compact object. We match the known coefficients of the effective action from the literature, and point out the unknown ones that are to be derived. |
hep-th/9404133 | null | C.S.Aulakh | Exact self dual vortices in $d=3$ Majumdar-Papapetrou dilaton gravity | 8pages , ReVTeX, IP/BBSR/94-12 | null | null | null | hep-th | null | We show that self-dual Nielsen Olesen (NO) vortices in $3$ dimensions give
rise to a class of exact solutions when coupled to Einstein Maxwell Dilaton
gravity obeying the Majumdar-Papapetrou(MP) relation between gravitational and
Maxwell couplings , provided certain Chern-Simons type interactions are
present. The metric may be solved for explicitly in terms of the NO vortex
function and is asymptotic to Euclidean space with signature (-1,-1,-1). The MP
electric field is long range but, strictly speaking, the charge of the vortices
is zero since the field dies off as $O(1/r (ln r)^2)$. The total ADM energy
integral of such vortices is {\it{zero}}.
These peculiarities are due to the nature of the two dimensional Greens
function.
| [
{
"created": "Thu, 21 Apr 1994 16:41:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aulakh",
"C. S.",
""
]
] | We show that self-dual Nielsen Olesen (NO) vortices in $3$ dimensions give rise to a class of exact solutions when coupled to Einstein Maxwell Dilaton gravity obeying the Majumdar-Papapetrou(MP) relation between gravitational and Maxwell couplings , provided certain Chern-Simons type interactions are present. The metric may be solved for explicitly in terms of the NO vortex function and is asymptotic to Euclidean space with signature (-1,-1,-1). The MP electric field is long range but, strictly speaking, the charge of the vortices is zero since the field dies off as $O(1/r (ln r)^2)$. The total ADM energy integral of such vortices is {\it{zero}}. These peculiarities are due to the nature of the two dimensional Greens function. |
2106.03841 | Yixuan Li | Nejc Ceplak, Shaun Hampton, Yixuan Li | Toroidal Tidal Effects in Microstate Geometries | 18 pages, 5 figures. V2: Minor modifications, accepted in JHEP | null | 10.1007/JHEP03(2022)021 | JHEP03(2022)021 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Tidal effects in capped geometries computed in previous literature display no
dynamics along internal (toroidal) directions. However, the dual CFT picture
suggests otherwise. To resolve this tension, we consider a set of infalling
null geodesics in a family of black hole microstate geometries with a smooth
cap at the bottom of a long BTZ-like throat. Using the Penrose limit, we show
that a string following one of these geodesics feels tidal stresses along all
spatial directions, including internal toroidal directions. We find that the
tidal effects along the internal directions are of the same order of magnitude
as those along other, non-internal, directions. Furthermore, these tidal
effects oscillate as a function of the distance from the cap -- as a string
falls down the throat it alternately experiences compression and stretching. We
explain some physical properties of this oscillation and comment on the dual
CFT interpretation.
| [
{
"created": "Mon, 7 Jun 2021 17:56:15 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2022 13:57:06 GMT",
"version": "v2"
}
] | 2022-03-16 | [
[
"Ceplak",
"Nejc",
""
],
[
"Hampton",
"Shaun",
""
],
[
"Li",
"Yixuan",
""
]
] | Tidal effects in capped geometries computed in previous literature display no dynamics along internal (toroidal) directions. However, the dual CFT picture suggests otherwise. To resolve this tension, we consider a set of infalling null geodesics in a family of black hole microstate geometries with a smooth cap at the bottom of a long BTZ-like throat. Using the Penrose limit, we show that a string following one of these geodesics feels tidal stresses along all spatial directions, including internal toroidal directions. We find that the tidal effects along the internal directions are of the same order of magnitude as those along other, non-internal, directions. Furthermore, these tidal effects oscillate as a function of the distance from the cap -- as a string falls down the throat it alternately experiences compression and stretching. We explain some physical properties of this oscillation and comment on the dual CFT interpretation. |
hep-th/0501058 | Ram Brustein | Ram Brustein, Amos Yarom | Entanglement Induced Fluctuations of Cold Bosons | Replaced with published version. Added calculations, explanations and
clarifications, results unchanged | J.Stat.Mech.0807:P07025,2008 | 10.1088/1742-5468/2008/07/P07025 | null | hep-th cond-mat.other quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that due to entanglement, quantum fluctuations may differ
significantly from statistical fluctuations. We calculate quantum fluctuations
of the particle number and of the energy in a sub-volume of a system of bosons
in a pure state, and briefly discuss the possibility of measuring them. We find
that energy fluctuations have a non-extensive nature.
| [
{
"created": "Sun, 9 Jan 2005 15:01:43 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 2008 07:15:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Brustein",
"Ram",
""
],
[
"Yarom",
"Amos",
""
]
] | We show that due to entanglement, quantum fluctuations may differ significantly from statistical fluctuations. We calculate quantum fluctuations of the particle number and of the energy in a sub-volume of a system of bosons in a pure state, and briefly discuss the possibility of measuring them. We find that energy fluctuations have a non-extensive nature. |
1703.06718 | Yasuhito Kaminaga | Yasuhito Kaminaga | Poisson Bracket and Symplectic Structure of Covariant Canonical
Formalism of Fields | 13 pages | null | null | EMPG-17-03 | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The covariant canonical formalism is a covariant extension of the traditional
canonical formalism of fields. In contrast to the traditional canonical theory,
it has a remarkable feature that canonical equations of gauge theories or
gravity are not only manifestly Lorentz covariant but also gauge covariant or
diffeomorphism covariant. A mathematical peculiarity of the covariant canonical
formalism is that its canonical coordinates are differential forms on a
manifold. In the present paper, we find a natural Poisson bracket of this new
canonical theory, and study symplectic structure behind it. The phase space of
the theory is identified with a ringed space with the structure sheaf of the
graded algebra of "differentiable" differential forms on the manifold. The
Poisson and the symplectic structure we found can be even or odd, depending on
the dimension of the manifold. Our Poisson structure is an example of physical
application of Poisson structure defined on the graded algebra of differential
forms.
| [
{
"created": "Mon, 20 Mar 2017 12:49:46 GMT",
"version": "v1"
}
] | 2017-03-21 | [
[
"Kaminaga",
"Yasuhito",
""
]
] | The covariant canonical formalism is a covariant extension of the traditional canonical formalism of fields. In contrast to the traditional canonical theory, it has a remarkable feature that canonical equations of gauge theories or gravity are not only manifestly Lorentz covariant but also gauge covariant or diffeomorphism covariant. A mathematical peculiarity of the covariant canonical formalism is that its canonical coordinates are differential forms on a manifold. In the present paper, we find a natural Poisson bracket of this new canonical theory, and study symplectic structure behind it. The phase space of the theory is identified with a ringed space with the structure sheaf of the graded algebra of "differentiable" differential forms on the manifold. The Poisson and the symplectic structure we found can be even or odd, depending on the dimension of the manifold. Our Poisson structure is an example of physical application of Poisson structure defined on the graded algebra of differential forms. |
1005.5408 | Steven B. Giddings | Steven B. Giddings, Maximilian Schmidt-Sommerfeld, Jeppe R. Andersen | High energy scattering in gravity and supergravity | 26 pages, 7 figures, harvmac. v2: added refs; clarified Regge
discussion | Phys.Rev.D82:104022,2010 | 10.1103/PhysRevD.82.104022 | CERN-PH-TH/2010-122 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate features of perturbative gravity and supergravity by studying
scattering in the ultraplanckian limit, and sharpen arguments that the dynamics
is governed by long-distance physics. A simple example capturing aspects of the
eikonal resummation suggests why short distance phenomena and in particular
divergences or nonrenormalizability do not necessarily play a central role in
this regime. A more profound problem is apparently unitarity. These
considerations can be illustrated by showing that known gravity and
supergravity amplitudes have the same long-distance behavior, despite the extra
light states of supergravity, and this serves as an important check on
long-range dynamics in a context where perturbative amplitudes are finite. We
also argue that these considerations have other important implications: they
obstruct probing the conjectured phenomenon of asymptotic safety through a
physical scattering process, and ultraplanckian scattering exhibiting Regge
behavior. These arguments sharpen the need to find a nonperturbative completion
of gravity with mechanisms which restore unitarity in the strong gravity
regime.
| [
{
"created": "Fri, 28 May 2010 22:03:45 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 2010 20:25:11 GMT",
"version": "v2"
}
] | 2010-12-13 | [
[
"Giddings",
"Steven B.",
""
],
[
"Schmidt-Sommerfeld",
"Maximilian",
""
],
[
"Andersen",
"Jeppe R.",
""
]
] | We investigate features of perturbative gravity and supergravity by studying scattering in the ultraplanckian limit, and sharpen arguments that the dynamics is governed by long-distance physics. A simple example capturing aspects of the eikonal resummation suggests why short distance phenomena and in particular divergences or nonrenormalizability do not necessarily play a central role in this regime. A more profound problem is apparently unitarity. These considerations can be illustrated by showing that known gravity and supergravity amplitudes have the same long-distance behavior, despite the extra light states of supergravity, and this serves as an important check on long-range dynamics in a context where perturbative amplitudes are finite. We also argue that these considerations have other important implications: they obstruct probing the conjectured phenomenon of asymptotic safety through a physical scattering process, and ultraplanckian scattering exhibiting Regge behavior. These arguments sharpen the need to find a nonperturbative completion of gravity with mechanisms which restore unitarity in the strong gravity regime. |
hep-th/0212303 | Olaf Lechtenfeld | E. Ivanov, S. Krivonos, O. Lechtenfeld | New variant of N=4 superconformal mechanics | 1+18 pages | JHEP 0303:014,2003 | 10.1088/1126-6708/2003/03/014 | null | hep-th | null | Proceeding from a nonlinear realization of the most general N=4, d=1
superconformal symmetry, associated with the supergroup D(2,1;alpha), we
construct a new model of nonrelativistic N=4 superconformal mechanics. In the
bosonic sector it combines the worldline dilaton with the fields parametrizing
the R-symmetry coset S^2 ~ SU(2)/U(1). We present invariant off-shell N=4 and
N=2 superfield actions for this system and show the existence of an independent
N=4 superconformal invariant which extends the dilaton potential. The extended
supersymmetry requires this potential to be accompanied by a d=1 WZW term on
S^2. We study the classical dynamics of the bosonic action and the geometry of
its sigma-model part. It turns out that the relevant target space is a cone
over S^2 for any non-zero alpha \neq \pm 1/2. The constructed model is expected
to be related to the `relativistic' N=4 mechanics of the AdS_2 times S^2
superparticle via a nonlinear transformation of the fields and the time
variable.
| [
{
"created": "Wed, 25 Dec 2002 21:40:09 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Ivanov",
"E.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Lechtenfeld",
"O.",
""
]
] | Proceeding from a nonlinear realization of the most general N=4, d=1 superconformal symmetry, associated with the supergroup D(2,1;alpha), we construct a new model of nonrelativistic N=4 superconformal mechanics. In the bosonic sector it combines the worldline dilaton with the fields parametrizing the R-symmetry coset S^2 ~ SU(2)/U(1). We present invariant off-shell N=4 and N=2 superfield actions for this system and show the existence of an independent N=4 superconformal invariant which extends the dilaton potential. The extended supersymmetry requires this potential to be accompanied by a d=1 WZW term on S^2. We study the classical dynamics of the bosonic action and the geometry of its sigma-model part. It turns out that the relevant target space is a cone over S^2 for any non-zero alpha \neq \pm 1/2. The constructed model is expected to be related to the `relativistic' N=4 mechanics of the AdS_2 times S^2 superparticle via a nonlinear transformation of the fields and the time variable. |
1106.6327 | Thomas-Paul Hack | Thomas-Paul Hack, Mathias Makedonski | A No-Go Theorem for the Consistent Quantization of Spin 3/2 Fields on
General Curved Spacetimes | 8 pages, substantially abridged, results unchanged | null | 10.1016/j.physletb.2012.11.033 | DESY 11-118; ZMP-HH/11-12 | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well-known that coupling a spin $\frac32$-field to a gravitational or
electromagnetic background leads to potential problems both in the classical
and in the quantum theory. Various solutions to these problems have been
proposed so far, which are all restricted to a limited class of backgrounds. On
the other hand, negative results for general gravitational backgrounds have
been reported only for a limited set of couplings to the background to date.
Hence, to our knowledge, a comprehensive analysis of all possible couplings to
the gravitational field and general gravitational backgrounds including
off-shell ones has not been performed so far. In this work we analyse whether
it is possible to couple a spin $\frac32$-field to a gravitational field in
such a way that the resulting quantum theory is consistent on arbitrary
gravitational backgrounds. We find that this is impossible as all couplings
require the background to be an Einstein spacetime for consistency. This
enforces the widespread belief that supergravity theories are the only
meaningful models which contain spin $\frac32$ fields as in these models such
restrictions of the gravitational background appear naturally as on-shell
conditions.
| [
{
"created": "Thu, 30 Jun 2011 18:29:45 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Feb 2012 12:12:11 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Sep 2012 19:06:17 GMT",
"version": "v3"
}
] | 2014-11-27 | [
[
"Hack",
"Thomas-Paul",
""
],
[
"Makedonski",
"Mathias",
""
]
] | It is well-known that coupling a spin $\frac32$-field to a gravitational or electromagnetic background leads to potential problems both in the classical and in the quantum theory. Various solutions to these problems have been proposed so far, which are all restricted to a limited class of backgrounds. On the other hand, negative results for general gravitational backgrounds have been reported only for a limited set of couplings to the background to date. Hence, to our knowledge, a comprehensive analysis of all possible couplings to the gravitational field and general gravitational backgrounds including off-shell ones has not been performed so far. In this work we analyse whether it is possible to couple a spin $\frac32$-field to a gravitational field in such a way that the resulting quantum theory is consistent on arbitrary gravitational backgrounds. We find that this is impossible as all couplings require the background to be an Einstein spacetime for consistency. This enforces the widespread belief that supergravity theories are the only meaningful models which contain spin $\frac32$ fields as in these models such restrictions of the gravitational background appear naturally as on-shell conditions. |
0807.0825 | Shao-Feng Wu | Shao-Feng Wu, Shaoyu Yin, Guo-Hong Yang, Peng-Ming Zhang | Energy and entropy radiated by a black hole embedded in the de-Sitter
braneworld | 17 pages, 12 figures, 5 tables, reinterpret the reason of R<1 | Phys.Rev.D78:084010,2008 | 10.1103/PhysRevD.78.084010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Hawking radiation of (4+n)-dimensional Schwarzschild black hole
imbedded in the space-time with positive cosmological constant. The greybody
and energy emission rates of scalars, fermions, bosons, and gravitons are
calculated in the full range of energy. The valuable information on the
dimensions and curvature of space-time is revealed. Furthermore, we investigate
the entropy radiated and lost by black hole. We find their ratio near unit in
favor of the Bekenstein's conjecture.
| [
{
"created": "Fri, 4 Jul 2008 21:55:55 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Aug 2008 23:59:23 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Wu",
"Shao-Feng",
""
],
[
"Yin",
"Shaoyu",
""
],
[
"Yang",
"Guo-Hong",
""
],
[
"Zhang",
"Peng-Ming",
""
]
] | We study the Hawking radiation of (4+n)-dimensional Schwarzschild black hole imbedded in the space-time with positive cosmological constant. The greybody and energy emission rates of scalars, fermions, bosons, and gravitons are calculated in the full range of energy. The valuable information on the dimensions and curvature of space-time is revealed. Furthermore, we investigate the entropy radiated and lost by black hole. We find their ratio near unit in favor of the Bekenstein's conjecture. |
hep-th/0405256 | Bill Spence | S. Ramgoolam, B. Spence and S. Thomas | Resolving brane collapse with 1/N corrections in non-Abelian DBI | 51 pages, 5 figures, LaTeX2e. Version 4: Formulae in Section 8
simplified | Nucl.Phys. B703 (2004) 236-276 | 10.1016/j.nuclphysb.2004.10.012 | QMUL-PH-04-04 | hep-th | null | A collapsing spherical D2-brane carrying magnetic flux can be described in
the region of small radius in a dual zero-brane picture using Tseytlin's
proposal for a non-Abelian Dirac-Born-Infeld action for N D0-branes. A standard
large N approximation of the D0-brane action, familiar from the brane
dielectric effect, gives a time evolution which agrees with the Abelian
D2-brane Born-Infeld equations which describe a D2-brane collapsing to zero
size. The first 1/N correction from the symmetrised trace prescription in the
zero-brane action leads to a class of classical solutions where the minimum
radius of a collapsing D2-brane is lifted away from zero. We discuss the
validity of this approximation to the zero-brane action in the region of the
minimum, and explore higher order 1/N corrections as well as an exact finite N
example. The 1/N corrected Lagrangians and the finite N example have an
effective mass squared which becomes negative in some regions of phase space.
We discuss the physics of this tachyonic behaviour.
| [
{
"created": "Thu, 27 May 2004 16:13:31 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 2004 15:20:20 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Sep 2004 09:46:20 GMT",
"version": "v3"
},
{
"created": "Fri, 22 Oct 2004 13:21:09 GMT",
"version": "v4"
},
{
"created": "Tue, 23 Nov 2004 15:38:08 GMT",
"version": "v5"
}
] | 2009-11-10 | [
[
"Ramgoolam",
"S.",
""
],
[
"Spence",
"B.",
""
],
[
"Thomas",
"S.",
""
]
] | A collapsing spherical D2-brane carrying magnetic flux can be described in the region of small radius in a dual zero-brane picture using Tseytlin's proposal for a non-Abelian Dirac-Born-Infeld action for N D0-branes. A standard large N approximation of the D0-brane action, familiar from the brane dielectric effect, gives a time evolution which agrees with the Abelian D2-brane Born-Infeld equations which describe a D2-brane collapsing to zero size. The first 1/N correction from the symmetrised trace prescription in the zero-brane action leads to a class of classical solutions where the minimum radius of a collapsing D2-brane is lifted away from zero. We discuss the validity of this approximation to the zero-brane action in the region of the minimum, and explore higher order 1/N corrections as well as an exact finite N example. The 1/N corrected Lagrangians and the finite N example have an effective mass squared which becomes negative in some regions of phase space. We discuss the physics of this tachyonic behaviour. |
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