id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9409195 | Simon Philip Adrian Gill | S.W.Hawking | The Nature of Space and Time | 62 pages with 51 figures, plain TeX | null | null | null | hep-th | null | Three illustrated lectures given by Stephen Hawking as part of a series of
six lectures with Roger Penrose on the nature of space and time sponsored by
Princeton University Press.
| [
{
"created": "Fri, 30 Sep 1994 15:42:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hawking",
"S. W.",
""
]
] | Three illustrated lectures given by Stephen Hawking as part of a series of six lectures with Roger Penrose on the nature of space and time sponsored by Princeton University Press. |
1410.2467 | Waleed El Hanafy | W. El Hanafy and G.L. Nashed | Reconstruction of $f(T)$-gravity in the absence of matter | 14 pages, 6 Figures, 2 Tables. v3: The title has been changed in
addition to other minor changes | Astrophysics and Space Science. Volume: 361. Issue: 6. 2016 | 10.1007/s10509-016-2786-0 | null | hep-th astro-ph.CO astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive an exact $f(T)$ gravity in the absence of ordinary matter in
Friedmann-Robertson-Walker (FRW) universe, where $T$ is the teleparallel
torsion scalar. We show that vanishing of the energy-momentum tensor
$\mathcal{T}^{\mu \nu}$ of matter does not imply vanishing of the teleparallel
torsion scalar, in contrast to general relativity, where the Ricci scalar
vanishes. The theory provides an exponential (inflationary) scale factor
independent of the choice of the sectional curvature. In addition, the obtained
$f(T)$ acts just like cosmological constant in the flat space model.
Nevertheless, it is dynamical in non-flat models. In particular, the open
universe provides a decaying pattern of the $f(T)$ contributing directly to
solve the fine-tuning problem of the cosmological constant. The equation of
state (EoS) of the torsion vacuum fluid has been studied in positive and
negative Hubble regimes. We study the case when the torsion is made of a scalar
field (tlaplon) which acts as torsion potential. This treatment enables to
induce a tlaplon field sensitive to the symmetry of the spacetime in addition
to the reconstruction of its effective potential from the $f(T)$ theory. The
theory provides six different versions of inflationary models. The real
solutions are mainly quadratic, the complex solutions, remarkably, provide
Higgs-like potential.
| [
{
"created": "Thu, 9 Oct 2014 14:00:22 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Oct 2015 11:38:31 GMT",
"version": "v2"
},
{
"created": "Fri, 27 May 2016 15:15:54 GMT",
"version": "v3"
}
] | 2016-10-19 | [
[
"Hanafy",
"W. El",
""
],
[
"Nashed",
"G. L.",
""
]
] | We derive an exact $f(T)$ gravity in the absence of ordinary matter in Friedmann-Robertson-Walker (FRW) universe, where $T$ is the teleparallel torsion scalar. We show that vanishing of the energy-momentum tensor $\mathcal{T}^{\mu \nu}$ of matter does not imply vanishing of the teleparallel torsion scalar, in contrast to general relativity, where the Ricci scalar vanishes. The theory provides an exponential (inflationary) scale factor independent of the choice of the sectional curvature. In addition, the obtained $f(T)$ acts just like cosmological constant in the flat space model. Nevertheless, it is dynamical in non-flat models. In particular, the open universe provides a decaying pattern of the $f(T)$ contributing directly to solve the fine-tuning problem of the cosmological constant. The equation of state (EoS) of the torsion vacuum fluid has been studied in positive and negative Hubble regimes. We study the case when the torsion is made of a scalar field (tlaplon) which acts as torsion potential. This treatment enables to induce a tlaplon field sensitive to the symmetry of the spacetime in addition to the reconstruction of its effective potential from the $f(T)$ theory. The theory provides six different versions of inflationary models. The real solutions are mainly quadratic, the complex solutions, remarkably, provide Higgs-like potential. |
1306.2292 | Marco Rossi | Davide Fioravanti, Simone Piscaglia, Marco Rossi | On the scattering over the GKP vacuum | final version, 14 pages, to appear in Physics Letters B | null | 10.1016/j.physletb.2013.12.003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By converting the Asymptotic Bethe Ansatz (ABA) of ${\cal N}=4$ SYM into
non-linear integral equations, we find 2D scattering amplitudes of excitations
on top of the GKP vacuum. We prove that this is a suitable and powerful set-up
for the understanding and computation of the whole S-matrix. We show that all
the amplitudes depend on the fundamental scalar-scalar one.
| [
{
"created": "Mon, 10 Jun 2013 19:16:28 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Dec 2013 16:27:27 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Fioravanti",
"Davide",
""
],
[
"Piscaglia",
"Simone",
""
],
[
"Rossi",
"Marco",
""
]
] | By converting the Asymptotic Bethe Ansatz (ABA) of ${\cal N}=4$ SYM into non-linear integral equations, we find 2D scattering amplitudes of excitations on top of the GKP vacuum. We prove that this is a suitable and powerful set-up for the understanding and computation of the whole S-matrix. We show that all the amplitudes depend on the fundamental scalar-scalar one. |
0807.0607 | Ho-Ung Yee | Doron Gazit, Ho-Ung Yee | Weak-Interacting Holographic QCD | 18 pages, v3: submitted to PLB | Phys.Lett.B670:154-160,2008 | 10.1016/j.physletb.2008.10.045 | INT-PUB-08-12, IC/2008/038 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a simple prescription for including low-energy weak-interactions
into the framework of holographic QCD, based on the standard AdS/CFT dictionary
of double-trace deformations. As our proposal enables us to calculate various
electro-weak observables involving strongly coupled QCD, it opens a new
perspective on phenomenological applications of holographic QCD. We illustrate
efficiency and usefulness of our method by performing a few exemplar
calculations; neutron beta decay, charged pion weak decay, and meson-nucleon
parity non-conserving (PNC) couplings. The idea is general enough to be
implemented in both Sakai-Sugimoto as well as Hard/Soft Wall models.
| [
{
"created": "Thu, 3 Jul 2008 19:12:21 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jul 2008 15:46:40 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Aug 2008 17:42:58 GMT",
"version": "v3"
}
] | 2008-12-18 | [
[
"Gazit",
"Doron",
""
],
[
"Yee",
"Ho-Ung",
""
]
] | We propose a simple prescription for including low-energy weak-interactions into the framework of holographic QCD, based on the standard AdS/CFT dictionary of double-trace deformations. As our proposal enables us to calculate various electro-weak observables involving strongly coupled QCD, it opens a new perspective on phenomenological applications of holographic QCD. We illustrate efficiency and usefulness of our method by performing a few exemplar calculations; neutron beta decay, charged pion weak decay, and meson-nucleon parity non-conserving (PNC) couplings. The idea is general enough to be implemented in both Sakai-Sugimoto as well as Hard/Soft Wall models. |
1512.03363 | Aref'eva Irina | D.S. Ageev and I.Ya. Aref'eva | Holographic Dual to Conical Defects: II. Colliding Ultrarelativistic
Particles | Latex, 17 pages, 13 figures | Theoretical and Mathematical Physics, 189, 2016, 1742â1754 | 10.1134/S0040577916120072 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study instant conformal symmetry breaking as a holographic effect of
ultrarelativistic particles moving in the AdS3 spacetime. We give the
qualitative picture of this effect probing it by two-point correlation
functions and the entanglement entropy of the corresponding boundary theory. We
show that within geodesic approximation the ultra-relativistic massless defect
due to gravitational lensing of the geodesics, produces a zone structure for
correlators with broken conformal invariance. Meanwhile, the holographic
entanglement entropy also exhibits a transition to the non-conformal behaviour.
Two colliding massless defects produce more diverse zone structure for
correlators and the entanglement entropy.
| [
{
"created": "Thu, 10 Dec 2015 18:35:10 GMT",
"version": "v1"
}
] | 2017-06-22 | [
[
"Ageev",
"D. S.",
""
],
[
"Aref'eva",
"I. Ya.",
""
]
] | We study instant conformal symmetry breaking as a holographic effect of ultrarelativistic particles moving in the AdS3 spacetime. We give the qualitative picture of this effect probing it by two-point correlation functions and the entanglement entropy of the corresponding boundary theory. We show that within geodesic approximation the ultra-relativistic massless defect due to gravitational lensing of the geodesics, produces a zone structure for correlators with broken conformal invariance. Meanwhile, the holographic entanglement entropy also exhibits a transition to the non-conformal behaviour. Two colliding massless defects produce more diverse zone structure for correlators and the entanglement entropy. |
hep-th/9506098 | Washington Taylor | Markus A. Luty (MIT) and Washington Taylor IV (MIT) | Varieties of vacua in classical supersymmetric gauge theories | 14 pages, LaTeX (uses revtex.sty) | Phys.Rev.D53:3399-3405,1996 | 10.1103/PhysRevD.53.3399 | MIT-CTP-2440 | hep-th hep-ph | null | We give a simple description of the classical moduli space of vacua for
supersymmetric gauge theories with or without a superpotential. The key
ingredient in our analysis is the observation that the lagrangian is invariant
under the action of the complexified gauge group $\Gc$. From this point of view
the usual $D$-flatness conditions are an artifact of Wess--Zumino gauge. By
using a gauge that preserves $\Gc$ invariance we show that every constant
matter field configuration that extremizes the superpotential is $\Gc$
gauge-equivalent (in a sense that we make precise) to a unique classical
vacuum. This result is used to prove that in the absence of a superpotential
the classical moduli space is the algebraic variety described by the set of all
holomorphic gauge-invariant polynomials. When a superpotential is present, we
show that the classical moduli space is a variety defined by imposing
additional relations on the holomorphic polynomials. Many of these points are
already contained in the existing literature. The main contribution of the
present work is that we give a careful and self-contained treatment of limit
points and singularities.
| [
{
"created": "Thu, 15 Jun 1995 20:47:34 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Luty",
"Markus A.",
"",
"MIT"
],
[
"Taylor",
"Washington",
"IV",
"MIT"
]
] | We give a simple description of the classical moduli space of vacua for supersymmetric gauge theories with or without a superpotential. The key ingredient in our analysis is the observation that the lagrangian is invariant under the action of the complexified gauge group $\Gc$. From this point of view the usual $D$-flatness conditions are an artifact of Wess--Zumino gauge. By using a gauge that preserves $\Gc$ invariance we show that every constant matter field configuration that extremizes the superpotential is $\Gc$ gauge-equivalent (in a sense that we make precise) to a unique classical vacuum. This result is used to prove that in the absence of a superpotential the classical moduli space is the algebraic variety described by the set of all holomorphic gauge-invariant polynomials. When a superpotential is present, we show that the classical moduli space is a variety defined by imposing additional relations on the holomorphic polynomials. Many of these points are already contained in the existing literature. The main contribution of the present work is that we give a careful and self-contained treatment of limit points and singularities. |
1504.01730 | Lasha Berezhiani | Lasha Berezhiani, Mark Trodden | How Likely are Constituent Quanta to Initiate Inflation? | 13 pages | null | 10.1016/j.physletb.2015.08.007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an intuitive framework for studying the problem of initial
conditions in slow-roll inflation. In particular, we consider a universe at
high, but sub-Planckian energy density and analyze the circumstances under
which it is plausible for it to become dominated by inflated patches at late
times, without appealing to the idea of self-reproduction. Our approach is
based on defining a prior probability distribution for the constituent quanta
of the pre-inflationary universe. To test the idea that inflation can begin
under very generic circumstances, we make specific -- yet quite general and
well grounded -- assumptions on the prior distribution. As a result, we are led
to the conclusion that the probability for a given region to ignite inflation
at sub-Planckian densities is extremely small. Furthermore, if one chooses to
use the enormous volume factor that inflation yields as an appropriate measure,
we find that the regions of the universe which started inflating at densities
below the self-reproductive threshold nevertheless occupy a negligible physical
volume in the present universe as compared to those domains that have never
inflated.
| [
{
"created": "Tue, 7 Apr 2015 20:00:20 GMT",
"version": "v1"
}
] | 2015-09-30 | [
[
"Berezhiani",
"Lasha",
""
],
[
"Trodden",
"Mark",
""
]
] | We propose an intuitive framework for studying the problem of initial conditions in slow-roll inflation. In particular, we consider a universe at high, but sub-Planckian energy density and analyze the circumstances under which it is plausible for it to become dominated by inflated patches at late times, without appealing to the idea of self-reproduction. Our approach is based on defining a prior probability distribution for the constituent quanta of the pre-inflationary universe. To test the idea that inflation can begin under very generic circumstances, we make specific -- yet quite general and well grounded -- assumptions on the prior distribution. As a result, we are led to the conclusion that the probability for a given region to ignite inflation at sub-Planckian densities is extremely small. Furthermore, if one chooses to use the enormous volume factor that inflation yields as an appropriate measure, we find that the regions of the universe which started inflating at densities below the self-reproductive threshold nevertheless occupy a negligible physical volume in the present universe as compared to those domains that have never inflated. |
2007.04702 | George Papadopoulos | G. Papadopoulos | Separability, plane wave limits and black holes | 15 pages | null | 10.1088/1361-6382/ac1cf8 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a systematic construction of the Penrose coordinates and plane
wave limits of spacetimes for which both the null Hamilton-Jacobi and geodesic
equations separate. The method is illustrated for the Kerr-NUT-(A)dS
four-dimensional black holes. The plane wave limits of the near horizon
geometry of the extreme Kerr black hole are also explored. All near horizon
geometries of extreme black holes with a Killing horizon admit Minkowski
spacetime as a plane wave limit.
| [
{
"created": "Thu, 9 Jul 2020 10:53:17 GMT",
"version": "v1"
}
] | 2021-09-22 | [
[
"Papadopoulos",
"G.",
""
]
] | We present a systematic construction of the Penrose coordinates and plane wave limits of spacetimes for which both the null Hamilton-Jacobi and geodesic equations separate. The method is illustrated for the Kerr-NUT-(A)dS four-dimensional black holes. The plane wave limits of the near horizon geometry of the extreme Kerr black hole are also explored. All near horizon geometries of extreme black holes with a Killing horizon admit Minkowski spacetime as a plane wave limit. |
1509.05777 | Akash Jain | Akash Jain | Galilean Anomalies and Their Effect on Hydrodynamics | 41+1 pages | Phys. Rev. D 93, 065007 (2016) | 10.1103/PhysRevD.93.065007 | null | hep-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the null background construction of
[arXiv:1505.05677,arXiv:1509.04718] to include torsion and a conserved spin
current, and use it to study gauge and gravitational anomalies in Galilean
theories coupled to torsional Newton-Cartan backgrounds. We establish that the
relativistic anomaly inflow mechanism with an appropriately modified anomaly
polynomial, can be used to generate these anomalies. Similar to relativistic
case, we find that Galilean anomalies also survive only in even dimensions.
Further, these anomalies only effect the gauge and rotational symmetries of a
Galilean theory; in particular the Milne boost symmetry remains non-anomalous.
We also extend the transgression machinery used in relativistic fluids to
fluids on null backgrounds, and use it to determine how these anomalies affect
the constitutive relations of a Galilean fluid.
Unrelated to Galilean fluids, we propose an analogue of the off-shell second
law of thermodynamics for relativistic fluids introduced by [arXiv:1106.0277],
to include torsion and a conserved spin current in Vielbein formalism.
Interestingly, we find that even in absense of spin and torsion the entropy
currents in two formalisms are different; while the usual entropy current gets
a contribution from gravitational anomaly, the entropy current in Vielbein
formalism does not have any anomaly induced part.
| [
{
"created": "Fri, 18 Sep 2015 20:04:27 GMT",
"version": "v1"
}
] | 2016-03-09 | [
[
"Jain",
"Akash",
""
]
] | We extend the null background construction of [arXiv:1505.05677,arXiv:1509.04718] to include torsion and a conserved spin current, and use it to study gauge and gravitational anomalies in Galilean theories coupled to torsional Newton-Cartan backgrounds. We establish that the relativistic anomaly inflow mechanism with an appropriately modified anomaly polynomial, can be used to generate these anomalies. Similar to relativistic case, we find that Galilean anomalies also survive only in even dimensions. Further, these anomalies only effect the gauge and rotational symmetries of a Galilean theory; in particular the Milne boost symmetry remains non-anomalous. We also extend the transgression machinery used in relativistic fluids to fluids on null backgrounds, and use it to determine how these anomalies affect the constitutive relations of a Galilean fluid. Unrelated to Galilean fluids, we propose an analogue of the off-shell second law of thermodynamics for relativistic fluids introduced by [arXiv:1106.0277], to include torsion and a conserved spin current in Vielbein formalism. Interestingly, we find that even in absense of spin and torsion the entropy currents in two formalisms are different; while the usual entropy current gets a contribution from gravitational anomaly, the entropy current in Vielbein formalism does not have any anomaly induced part. |
1904.11892 | Adrien Florio | Daniel G. Figueroa, Adrien Florio, Mikhail Shaposhnikov | Chiral charge dynamics in Abelian gauge theories at finite temperature | 32 pages, 11 figures. V2: Improved introduction, added some
discussions and references. Corrected typos. Corresponds to published version | null | 10.1007/JHEP10(2019)142 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study fermion number non-conservation (or chirality breaking) in Abelian
gauge theories at finite temperature. We consider the presence of a chemical
potential $\mu$ for the fermionic charge, and monitor its evolution with
real-time classical lattice simulations. This method accounts for short-scale
fluctuations not included in the usual effective magneto-hydrodynamics (MHD)
treatment. We observe a self-similar decay of the chemical potential,
accompanied by an inverse cascade process in the gauge field that leads to a
production of long-range helical magnetic fields. We also study the chiral
charge dynamics in the presence of an external magnetic field $B$, and extract
its decay rate $\Gamma_5 \equiv -{d\log \mu\over dt}$. We provide in this way a
new determination of the gauge coupling and magnetic field dependence of the
chiral rate, which exhibits a best fit scaling as $\Gamma_5 \propto
e^{11/2}B^2$. We confirm numerically the fluctuation-dissipation relation
between $\Gamma_5$ and $\Gamma_{\rm diff}$, the Chern-Simons diffusion rate,
which was obtained in a previous study. Remarkably, even though we are outside
the MHD range of validity, the dynamics observed are in qualitative agreement
with MHD predictions. The magnitude of the chiral/diffusion rate is however a
factor $\sim 10$ times larger than expected in MHD, signaling that we are in
reality exploring a different regime accounting for short scale fluctuations.
This discrepancy calls for a revision of the implications of fermion number and
chirality non-conservation in finite temperature Abelian gauge theories, though
not definite conclusion can be made at this point until hard-thermal-loops
(HTL) are included in the lattice simulations.
| [
{
"created": "Fri, 26 Apr 2019 15:20:11 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 2020 13:56:59 GMT",
"version": "v2"
}
] | 2020-06-30 | [
[
"Figueroa",
"Daniel G.",
""
],
[
"Florio",
"Adrien",
""
],
[
"Shaposhnikov",
"Mikhail",
""
]
] | We study fermion number non-conservation (or chirality breaking) in Abelian gauge theories at finite temperature. We consider the presence of a chemical potential $\mu$ for the fermionic charge, and monitor its evolution with real-time classical lattice simulations. This method accounts for short-scale fluctuations not included in the usual effective magneto-hydrodynamics (MHD) treatment. We observe a self-similar decay of the chemical potential, accompanied by an inverse cascade process in the gauge field that leads to a production of long-range helical magnetic fields. We also study the chiral charge dynamics in the presence of an external magnetic field $B$, and extract its decay rate $\Gamma_5 \equiv -{d\log \mu\over dt}$. We provide in this way a new determination of the gauge coupling and magnetic field dependence of the chiral rate, which exhibits a best fit scaling as $\Gamma_5 \propto e^{11/2}B^2$. We confirm numerically the fluctuation-dissipation relation between $\Gamma_5$ and $\Gamma_{\rm diff}$, the Chern-Simons diffusion rate, which was obtained in a previous study. Remarkably, even though we are outside the MHD range of validity, the dynamics observed are in qualitative agreement with MHD predictions. The magnitude of the chiral/diffusion rate is however a factor $\sim 10$ times larger than expected in MHD, signaling that we are in reality exploring a different regime accounting for short scale fluctuations. This discrepancy calls for a revision of the implications of fermion number and chirality non-conservation in finite temperature Abelian gauge theories, though not definite conclusion can be made at this point until hard-thermal-loops (HTL) are included in the lattice simulations. |
0807.4940 | Hisham Sati | Hisham Sati | Anomalies of E8 gauge theory on String manifolds | 19 pages, expanded, a whole new section added on the refined
invariants related to String structure | Int.J.Mod.Phys.A26:2177-2197,2011 | 10.1142/S0217751X1105333X | null | hep-th math.AT math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we revisit the subject of anomaly cancelation in string theory
and M-theory on manifolds with String structure and give three observations.
First, that on String manifolds there is no E8 x E8 global anomaly in heterotic
string theory. Second, that the description of the anomaly in the phase of the
M-theory partition function of Diaconescu-Moore-Witten extends from the Spin
case to the String case. Third, that the cubic refinement law of
Diaconescu-Freed-Moore for the phase of the M-theory partition function extends
to String manifolds. The analysis relies on extending from invariants which
depend on the Spin structure to invariants which instead depend on the String
structure. Along the way, the one-loop term is refined via the Witten genus.
| [
{
"created": "Wed, 30 Jul 2008 21:01:17 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Nov 2010 21:01:10 GMT",
"version": "v2"
}
] | 2011-05-25 | [
[
"Sati",
"Hisham",
""
]
] | In this note we revisit the subject of anomaly cancelation in string theory and M-theory on manifolds with String structure and give three observations. First, that on String manifolds there is no E8 x E8 global anomaly in heterotic string theory. Second, that the description of the anomaly in the phase of the M-theory partition function of Diaconescu-Moore-Witten extends from the Spin case to the String case. Third, that the cubic refinement law of Diaconescu-Freed-Moore for the phase of the M-theory partition function extends to String manifolds. The analysis relies on extending from invariants which depend on the Spin structure to invariants which instead depend on the String structure. Along the way, the one-loop term is refined via the Witten genus. |
0906.4275 | Mu-In Park | Mu-in Park | A Test of Horava Gravity: The Dark Energy | More detailed discussions on the strong coupling issue (Footnote No.
2) and projectability condition (Footnote No. 1) added, Accepted in JCAP | JCAP 1001:001,2010 | 10.1088/1475-7516/2010/01/001 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently Horava proposed a renormalizable gravity theory with higher spatial
derivatives in four dimensions which reduces to Einstein gravity with a
non-vanishing cosmological constant in IR but with improved UV behaviors. Here,
I consider a non-trivial test of the new gravity theory in FRW universe by
considering an IR modification which breaks "softly" the detailed balance
condition in the original Horava model. I separate the dark energy parts from
the usual Einstein gravity parts in the Friedman equations and obtain the
formula of the equations of state parameter. The IR modified Horava gravity
seems to be consistent with the current observational data but we need some
more refined data sets to see whether the theory is really consistent with our
universe. From the consistency of our theory, I obtain some constraints on the
allowed values of w_0 and w_a in the Chevallier, Polarski, and Linder's
parametrization and this may be tested in the near future, by sharpening the
data sets.
| [
{
"created": "Tue, 23 Jun 2009 15:47:31 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2009 08:45:40 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Oct 2009 11:59:29 GMT",
"version": "v3"
},
{
"created": "Tue, 13 Oct 2009 07:25:13 GMT",
"version": "v4"
},
{
"created": "Tue, 22 Dec 2009 18:52:24 GMT",
"version": "v5"
}
] | 2010-01-15 | [
[
"Park",
"Mu-in",
""
]
] | Recently Horava proposed a renormalizable gravity theory with higher spatial derivatives in four dimensions which reduces to Einstein gravity with a non-vanishing cosmological constant in IR but with improved UV behaviors. Here, I consider a non-trivial test of the new gravity theory in FRW universe by considering an IR modification which breaks "softly" the detailed balance condition in the original Horava model. I separate the dark energy parts from the usual Einstein gravity parts in the Friedman equations and obtain the formula of the equations of state parameter. The IR modified Horava gravity seems to be consistent with the current observational data but we need some more refined data sets to see whether the theory is really consistent with our universe. From the consistency of our theory, I obtain some constraints on the allowed values of w_0 and w_a in the Chevallier, Polarski, and Linder's parametrization and this may be tested in the near future, by sharpening the data sets. |
2312.08184 | Evgeny Skvortsov D | Evgeny Skvortsov and Mirian Tsulaia | Cubic action for Spinning Black Holes from massive higher-spin gauge
symmetry | 23 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scattering of two Kerr Black Holes emitting gravitational waves can be
captured by an effective theory of a massive higher-spin field interacting with
the gravitational field. While other compact objects should activate a
multitude of non-minimal interactions it is the black holes that should be
captured by the simplest minimal interaction. Implementing massive higher-spin
symmetry via a string-inspired BRST approach we construct an action that
reproduces the correct cubic amplitude of Arkani-Hamed--Huang--Huang. The same
is achieved for the root-Kerr theory, i.e. for the minimal electromagnetic
interaction of a massive higher-spin field.
| [
{
"created": "Wed, 13 Dec 2023 14:51:30 GMT",
"version": "v1"
}
] | 2023-12-14 | [
[
"Skvortsov",
"Evgeny",
""
],
[
"Tsulaia",
"Mirian",
""
]
] | Scattering of two Kerr Black Holes emitting gravitational waves can be captured by an effective theory of a massive higher-spin field interacting with the gravitational field. While other compact objects should activate a multitude of non-minimal interactions it is the black holes that should be captured by the simplest minimal interaction. Implementing massive higher-spin symmetry via a string-inspired BRST approach we construct an action that reproduces the correct cubic amplitude of Arkani-Hamed--Huang--Huang. The same is achieved for the root-Kerr theory, i.e. for the minimal electromagnetic interaction of a massive higher-spin field. |
0904.3064 | Piotr Su{\l}kowski | Piotr Su{\l}kowski | Matrix models for 2* theories | 20 pages, 5 figures | Phys.Rev.D80:086006,2009 | 10.1103/PhysRevD.80.086006 | null | hep-th math-ph math.CO math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to represent a class of expressions involving discrete sums over
partitions as matrix models. We apply this technique to the partition functions
of 2* theories, i.e. Seiberg-Witten theories with the massive hypermultiplet in
the adjoint representation. We consider theories in four, five and six
dimensions, and obtain new matrix models respectively of rational,
trigonometric and elliptic type. The matrix models for five- and
six-dimensional U(1) theories are derived from the topological vertex
construction related to curves of genus one and two.
| [
{
"created": "Mon, 20 Apr 2009 19:39:33 GMT",
"version": "v1"
}
] | 2009-10-29 | [
[
"Sułkowski",
"Piotr",
""
]
] | We show how to represent a class of expressions involving discrete sums over partitions as matrix models. We apply this technique to the partition functions of 2* theories, i.e. Seiberg-Witten theories with the massive hypermultiplet in the adjoint representation. We consider theories in four, five and six dimensions, and obtain new matrix models respectively of rational, trigonometric and elliptic type. The matrix models for five- and six-dimensional U(1) theories are derived from the topological vertex construction related to curves of genus one and two. |
hep-th/0606059 | Aldo Lorenzo Cotrone | F. Bigazzi, A. L. Cotrone | New predictions on meson decays from string splitting | 17 pages, 2 figures | JHEP0611:066,2006 | 10.1088/1126-6708/2006/11/066 | LPTHE-06-03, UB-ECM-PF 06/15 | hep-th hep-ph | null | We study certain exclusive decays of high spin mesons into mesons in models
of large N_c Yang-Mills with few flavors at strong coupling using string
theory. The rate of the process is calculated by studying the splitting of a
macroscopic string on the relevant dual gravity backgrounds. In the leading
channel for the decay of heavy quarkonium into two open-heavy quark states, one
of the two produced mesons has much larger spin than the other. In this channel
the decay rate is only power-like suppressed with the mass of the produced
quark-anti quark pair. We also reconsider decays of high spin mesons made up of
light quarks, confirming the linear dependence of the rate on the mass of the
decaying meson. As a bonus of our computation, we provide a formula for the
splitting rate of a macroscopic string lying on a Dp-brane in flat space.
| [
{
"created": "Wed, 7 Jun 2006 17:03:27 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2006 14:37:04 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Bigazzi",
"F.",
""
],
[
"Cotrone",
"A. L.",
""
]
] | We study certain exclusive decays of high spin mesons into mesons in models of large N_c Yang-Mills with few flavors at strong coupling using string theory. The rate of the process is calculated by studying the splitting of a macroscopic string on the relevant dual gravity backgrounds. In the leading channel for the decay of heavy quarkonium into two open-heavy quark states, one of the two produced mesons has much larger spin than the other. In this channel the decay rate is only power-like suppressed with the mass of the produced quark-anti quark pair. We also reconsider decays of high spin mesons made up of light quarks, confirming the linear dependence of the rate on the mass of the decaying meson. As a bonus of our computation, we provide a formula for the splitting rate of a macroscopic string lying on a Dp-brane in flat space. |
hep-th/9402134 | null | Peter Schupp and Paul Watts | Universal and Generalized Cartan Calculus on Hopf Algebras | 13 pages | null | null | LBL-33655 and UCB-PTH-93/36 | hep-th math.QA | null | We extend the universal differential calculus on an arbitrary Hopf algebra to
a ``universal Cartan calculus''. This is accomplished by introducing inner
derivations and Lie derivatives which act on the elements of the universal
differential envelope. A new algebra is formulated by incorporating these new
objects into the universal differential calculus together with consistent
commutation relations. We also explain how to include nontrivial commutation
relations into this formulation to obtain the ``generalized Cartan calculus''.
| [
{
"created": "Wed, 23 Feb 1994 21:02:41 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Schupp",
"Peter",
""
],
[
"Watts",
"Paul",
""
]
] | We extend the universal differential calculus on an arbitrary Hopf algebra to a ``universal Cartan calculus''. This is accomplished by introducing inner derivations and Lie derivatives which act on the elements of the universal differential envelope. A new algebra is formulated by incorporating these new objects into the universal differential calculus together with consistent commutation relations. We also explain how to include nontrivial commutation relations into this formulation to obtain the ``generalized Cartan calculus''. |
hep-th/0605282 | Dmitry V. Belyaev | Dmitry V. Belyaev | Supersymmetric bulk-brane coupling with odd gauge fields | 25 pages, JHEP3 class; minor changes; published version | JHEP0608:032,2006 | 10.1088/1126-6708/2006/08/032 | DESY 06-131 | hep-th | null | Supersymmetric bulk-brane coupling in Horava-Witten and Randall-Sundrum
scenarios, when considered in the orbifold (``upstairs'') picture, enjoys
similar features: a modified Bianchi identity and a modified supersymmetry
transformation for the ``orthogonal'' part of the gauge field. Using a toy
model with a 5D vector multiplet in the bulk (like in Mirabelli-Peskin model,
but with an \emph{odd} gauge field $A_m$), we explain how these features arise
from the superfield formulation. We also show that the corresponding
construction in the boundary (``downstairs'') picture requires introduction of
a special ``compensator'' (super)field.
| [
{
"created": "Mon, 29 May 2006 19:52:17 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 2006 20:08:37 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Belyaev",
"Dmitry V.",
""
]
] | Supersymmetric bulk-brane coupling in Horava-Witten and Randall-Sundrum scenarios, when considered in the orbifold (``upstairs'') picture, enjoys similar features: a modified Bianchi identity and a modified supersymmetry transformation for the ``orthogonal'' part of the gauge field. Using a toy model with a 5D vector multiplet in the bulk (like in Mirabelli-Peskin model, but with an \emph{odd} gauge field $A_m$), we explain how these features arise from the superfield formulation. We also show that the corresponding construction in the boundary (``downstairs'') picture requires introduction of a special ``compensator'' (super)field. |
hep-th/0604110 | Iosif Bena | Iosif Bena, Chih-Wei Wang and Nicholas P. Warner | The Foaming Three-Charge Black Hole | 14 pages, harvmac | Phys.Rev.D75:124026,2007 | 10.1103/PhysRevD.75.124026 | NSF-KITP-06-25, CERN-PH-TH/2006-045 | hep-th | null | We find a very large set of smooth horizonless geometries that have the same
charges and angular momenta as the five-dimensional, maximally-spinning,
three-charge, BPS black hole (J^2 = Q^3). Our solutions are constructed using a
four-dimensional Gibbons-Hawking base space that has a very large number of
two-cycles. The entropy of our solutions is proportional to Q^(1/2). In the
same class of solutions we also find microstates corresponding to zero-entropy
black rings, and these are related to the microstates of the black hole by
continuous deformations.
| [
{
"created": "Mon, 17 Apr 2006 18:25:32 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Sep 2006 05:01:09 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bena",
"Iosif",
""
],
[
"Wang",
"Chih-Wei",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | We find a very large set of smooth horizonless geometries that have the same charges and angular momenta as the five-dimensional, maximally-spinning, three-charge, BPS black hole (J^2 = Q^3). Our solutions are constructed using a four-dimensional Gibbons-Hawking base space that has a very large number of two-cycles. The entropy of our solutions is proportional to Q^(1/2). In the same class of solutions we also find microstates corresponding to zero-entropy black rings, and these are related to the microstates of the black hole by continuous deformations. |
2001.02768 | Sudarshan Ananth | Sudarshan Ananth, Hermann Nicolai, Chetan Pandey and Saurabh Pant | Supersymmetric Yang-Mills Theories: not quite the usual perspective | 14 pages | J.Phys. A53 (2020) 17, 174001 | 10.1088/1751-8121/ab7b9d | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we take up an old thread of development concerning the
characterization of supersymmetric theories without any use of anticommuting
variables that goes back to one of the authors' very early work [1]. Our
special focus here will be on the formulation of supersymmetric Yang-Mills
theories, extending previous results beyond $D=4$ dimensions. This perspective
is likely to provide new insights into these theories, and in particular the
maximally extended $N=4$ theory. As a new result we present a novel derivation
of the admissible dimensions for interacting (pure) super-Yang-Mills theories
to exist. This article is dedicated to the memory of Peter Freund, amongst many
other things an early contributor to supersymmetry, and an author of one of the
very first papers on superconformal gauge theories [2]. The final section
contains some personal reminiscences of H.N.'s encounters with Peter Freund.
| [
{
"created": "Wed, 8 Jan 2020 22:11:54 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Mar 2020 04:41:52 GMT",
"version": "v2"
}
] | 2020-06-05 | [
[
"Ananth",
"Sudarshan",
""
],
[
"Nicolai",
"Hermann",
""
],
[
"Pandey",
"Chetan",
""
],
[
"Pant",
"Saurabh",
""
]
] | In this paper, we take up an old thread of development concerning the characterization of supersymmetric theories without any use of anticommuting variables that goes back to one of the authors' very early work [1]. Our special focus here will be on the formulation of supersymmetric Yang-Mills theories, extending previous results beyond $D=4$ dimensions. This perspective is likely to provide new insights into these theories, and in particular the maximally extended $N=4$ theory. As a new result we present a novel derivation of the admissible dimensions for interacting (pure) super-Yang-Mills theories to exist. This article is dedicated to the memory of Peter Freund, amongst many other things an early contributor to supersymmetry, and an author of one of the very first papers on superconformal gauge theories [2]. The final section contains some personal reminiscences of H.N.'s encounters with Peter Freund. |
1101.0963 | Martin L\"uscher | Martin L\"uscher and Peter Weisz | Perturbative analysis of the gradient flow in non-abelian gauge theories | Plain TeX source, 28 pages, 14 figures; v2: typos corrected, agrees
with published version | JHEP 1102:051,2011 | 10.1007/JHEP02(2011)051 | CERN-PH-TH/2010-290, MPP-2010-165 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gradient flow in non-abelian gauge theories on R^4 is defined by a local
diffusion equation that evolves the gauge field as a function of the flow time
in a gauge-covariant manner. Similarly to the case of the Langevin equation,
the correlation functions of the time-dependent field can be expanded in
perturbation theory, the Feynman rules being those of a renormalizable field
theory on R^4 x [0,oo). For any matter multiplet and to all loop orders, we
show that the correlation functions are finite, i.e. do not require additional
renormalization, once the theory in four dimensions is renormalized in the
usual way. The flow thus maps the gauge field to a one-parameter family of
smooth renormalized fields.
| [
{
"created": "Wed, 5 Jan 2011 13:26:02 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Feb 2011 09:42:47 GMT",
"version": "v2"
}
] | 2011-02-18 | [
[
"Lüscher",
"Martin",
""
],
[
"Weisz",
"Peter",
""
]
] | The gradient flow in non-abelian gauge theories on R^4 is defined by a local diffusion equation that evolves the gauge field as a function of the flow time in a gauge-covariant manner. Similarly to the case of the Langevin equation, the correlation functions of the time-dependent field can be expanded in perturbation theory, the Feynman rules being those of a renormalizable field theory on R^4 x [0,oo). For any matter multiplet and to all loop orders, we show that the correlation functions are finite, i.e. do not require additional renormalization, once the theory in four dimensions is renormalized in the usual way. The flow thus maps the gauge field to a one-parameter family of smooth renormalized fields. |
hep-th/9409133 | Edwin Lombridas | Kurt Haller and Edwin Lim-Lombridas (University of Connecticut) | Maxwell-Chern-Simons Theory in Covariant and Coulomb Gauges | UCONN-94-6, REVTeX, 39 pages | Annals Phys. 246 (1996) 1-48; Erratum-ibid. 257 (1997) 205-206 | 10.1006/aphy.1996.0019 | null | hep-th | null | We quantize Quantum Electrodynamics in $2+1$ dimensions coupled to a
Chern-Simons (CS) term and a charged spinor field, in covariant gauges and in
the Coulomb gauge. The resulting Maxwell-Chern-Simons (MCS) theory describes
charged fermions interacting with each other and with topologically massive
propagating photons. We impose Gauss's law and the gauge conditions and
investigate their effect on the dynamics and on the statistics of $n$-particle
states. We construct charged spinor states that obey Gauss's law and the gauge
conditions, and transform the theory to representations in which these states
constitute a Fock space. We demonstrate that, in these representations, the
nonlocal interactions between charges and between charges and transverse
currents, as well as the interactions between currents and massive propagating
photons, are identical in the different gauges we analyze in this and in
earlier work. We construct the generators of the Poincar\'e group, show that
they implement the Poincar\'e algebra, and explicitly demonstrate the effect of
rotations and Lorentz boosts on the particle states. We show that the
imposition of Gauss's law does not produce any ``exotic'' fractional
statistics. In the case of the covariant gauges, this demonstration makes use
of unitary transformations that provide charged particles with the gauge fields
required by Gauss's law, but that leave the anticommutator algebra of the
spinor fields untransformed. In the Coulomb gauge, we show that the
anticommutators of the spinor fields apply to the Dirac-Bergmann constraint
surfaces, on which Gauss's law and the gauge conditions obtain. We examine MCS
theory in the large CS coupling constant limit, and compare that limiting form
with CS theory, in which the Maxwell kinetic energy term is not included in the
| [
{
"created": "Thu, 22 Sep 1994 20:31:27 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Haller",
"Kurt",
"",
"University of Connecticut"
],
[
"Lim-Lombridas",
"Edwin",
"",
"University of Connecticut"
]
] | We quantize Quantum Electrodynamics in $2+1$ dimensions coupled to a Chern-Simons (CS) term and a charged spinor field, in covariant gauges and in the Coulomb gauge. The resulting Maxwell-Chern-Simons (MCS) theory describes charged fermions interacting with each other and with topologically massive propagating photons. We impose Gauss's law and the gauge conditions and investigate their effect on the dynamics and on the statistics of $n$-particle states. We construct charged spinor states that obey Gauss's law and the gauge conditions, and transform the theory to representations in which these states constitute a Fock space. We demonstrate that, in these representations, the nonlocal interactions between charges and between charges and transverse currents, as well as the interactions between currents and massive propagating photons, are identical in the different gauges we analyze in this and in earlier work. We construct the generators of the Poincar\'e group, show that they implement the Poincar\'e algebra, and explicitly demonstrate the effect of rotations and Lorentz boosts on the particle states. We show that the imposition of Gauss's law does not produce any ``exotic'' fractional statistics. In the case of the covariant gauges, this demonstration makes use of unitary transformations that provide charged particles with the gauge fields required by Gauss's law, but that leave the anticommutator algebra of the spinor fields untransformed. In the Coulomb gauge, we show that the anticommutators of the spinor fields apply to the Dirac-Bergmann constraint surfaces, on which Gauss's law and the gauge conditions obtain. We examine MCS theory in the large CS coupling constant limit, and compare that limiting form with CS theory, in which the Maxwell kinetic energy term is not included in the |
hep-th/9607054 | Hong-Bo Gao | H. B. Gao | Comments on D-Brane and $SO(2N)$ Enhanced Symmetry in Type II String | LaTex, one figure, 10 pages | Phys.Lett. B392 (1997) 55-60 | 10.1016/S0370-2693(96)01519-5 | TUW-96-11 | hep-th | null | We propose a configuration of D-branes welded by analogous orbifold operation
to be responsible for the enhancement of $SO(2N)$ gauge symmetry in type II
string compactified on the $D_n$-type singular limit of K3. Evidences are
discussed from the $D_n$-type ALE and D-manifold point of view. A subtlety
regarding the ability of seeing the enhanced $SO(2N)$ gauge symmetry
perturbatively is briefly addressed.
| [
{
"created": "Sun, 7 Jul 1996 12:02:57 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gao",
"H. B.",
""
]
] | We propose a configuration of D-branes welded by analogous orbifold operation to be responsible for the enhancement of $SO(2N)$ gauge symmetry in type II string compactified on the $D_n$-type singular limit of K3. Evidences are discussed from the $D_n$-type ALE and D-manifold point of view. A subtlety regarding the ability of seeing the enhanced $SO(2N)$ gauge symmetry perturbatively is briefly addressed. |
1708.06342 | Yuho Sakatani | Yuho Sakatani, Shozo Uehara | $\eta$-symbols in exceptional field theory | 41 pages; v2: typos corrected, clarifications added; v3: typos
corrected, to appear in PTEP; v4: typos corrected in Eq.(3.65) and Table 1 | PTEP (2017) 113B01 | 10.1093/ptep/ptx151 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the universal form of $\eta$-symbols that can be applied to an
arbitrary $E_{d(d)}$ exceptional field theory (EFT) up to $d=7$. We then
express the $Y$-tensor, which governs the gauge algebra of EFT, as a quadratic
form of the $\eta$-symbols. The usual definition of the $Y$-tensor strongly
depends on the dimension of the compactification torus while it is not the case
for our $Y$-tensor. Furthermore, using the $\eta$-symbols, we propose a
universal form of the linear section equation. In particular, in the SL(5) EFT,
we explicitly show the equivalence to the known linear section equation.
| [
{
"created": "Mon, 21 Aug 2017 17:59:02 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Aug 2017 14:06:51 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Nov 2017 18:29:58 GMT",
"version": "v3"
},
{
"created": "Mon, 8 Jan 2018 16:25:05 GMT",
"version": "v4"
}
] | 2018-01-09 | [
[
"Sakatani",
"Yuho",
""
],
[
"Uehara",
"Shozo",
""
]
] | We present the universal form of $\eta$-symbols that can be applied to an arbitrary $E_{d(d)}$ exceptional field theory (EFT) up to $d=7$. We then express the $Y$-tensor, which governs the gauge algebra of EFT, as a quadratic form of the $\eta$-symbols. The usual definition of the $Y$-tensor strongly depends on the dimension of the compactification torus while it is not the case for our $Y$-tensor. Furthermore, using the $\eta$-symbols, we propose a universal form of the linear section equation. In particular, in the SL(5) EFT, we explicitly show the equivalence to the known linear section equation. |
hep-th/9912247 | Glenn Barnich | Glenn Barnich | A note on the BRST cohomology of the extended antifield formalism | 10 pages Latex file, Proceedings of the spring school "Q.F.T.,
Supersymmetry and Superstrings" in Calimanesti, Romania, April 1998 | null | null | ULB-TH/99-35 | hep-th | null | The relevance of the BRST cohomology of the extended antifield formalism is
briefly discussed along with standard homological tools needed for its
computation.
| [
{
"created": "Fri, 24 Dec 1999 14:21:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Barnich",
"Glenn",
""
]
] | The relevance of the BRST cohomology of the extended antifield formalism is briefly discussed along with standard homological tools needed for its computation. |
1711.04703 | Joachim Bartels | J.Bartels, M.A.Braun | Pomeron fan diagrams in perturbative QCD | 22 pages, 10 figures | null | 10.1007/JHEP06(2018)095 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within QCD reggeon field theory we study the formation of two subsequent
triple pomeron vertices in the process P$\to$PP$\to$PPP. We make use of an
earlier investigation ~\cite{Bartels:1999aw} of the six-reggeon amplitude in
deep inelastic scattering and show that in the large-$N_c$ limit pomeron fan
diagrams emerge with the same triple pomeron vertex in all places. We thus
confirm the BK-equation, but we also find additional terms related to the
reggeization of the gluon, and we discuss their potential significance. Our
analysis also includes the general pomeron $\to$ two odderon vertex: a
particular version of this vertex has been included into earlier
generalizations the BK equation.
| [
{
"created": "Mon, 13 Nov 2017 16:55:10 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Apr 2018 14:02:43 GMT",
"version": "v2"
}
] | 2018-08-01 | [
[
"Bartels",
"J.",
""
],
[
"Braun",
"M. A.",
""
]
] | Within QCD reggeon field theory we study the formation of two subsequent triple pomeron vertices in the process P$\to$PP$\to$PPP. We make use of an earlier investigation ~\cite{Bartels:1999aw} of the six-reggeon amplitude in deep inelastic scattering and show that in the large-$N_c$ limit pomeron fan diagrams emerge with the same triple pomeron vertex in all places. We thus confirm the BK-equation, but we also find additional terms related to the reggeization of the gluon, and we discuss their potential significance. Our analysis also includes the general pomeron $\to$ two odderon vertex: a particular version of this vertex has been included into earlier generalizations the BK equation. |
2302.14780 | Lewis Croney | Lewis Croney, Sarben Sarkar | Renormalisation group flows connecting a $4-\epsilon$ dimensional
Hermitian field theory to a $\mathcal{PT}$-symmetric theory for a fermion
coupled to an axion | 26 pages, 10 figures, updated to match version accepted in PRD | Phys. Rev. D 108, 085024 (2023) | 10.1103/PhysRevD.108.085024 | KCL-PH-TH/2022-50 | hep-th hep-ph quant-ph | http://creativecommons.org/licenses/by/4.0/ | The renormalisation group flow of a Hermitian field theory is shown to have
trajectories which lead to a non-Hermitian Parity-Time ($\mathcal{PT}$)
symmetric field theory for an axion coupled to a fermion in spacetime
dimensions $D=4-\epsilon$, where $\epsilon >0 $. In this renormalisable field
theory, the Dirac fermion field has a Yukawa coupling $g$ to a pseudoscalar
(axion) field and there is quartic pseudoscalar self-coupling $u$. The
robustness of this finding is established by considering flows between
$\epsilon$ dpependent Wilson-Fisher fixed points and also by working to
\emph{three loops} in the Yukawa coupling and to \emph{two loops} in the
quartic scalar coupling. The flows in the neighbourhood of the non-trivial
fixed points are calculated using perturbative analysis, together with the
$\epsilon$ expansion. The global flow pattern indicates flows from positive $u$
to negative $u$; there are no flows between real and imaginary $g$. Using
summation techniques we demonstrate a possible non-perturbative
$\mathcal{PT}$-symmetric saddle point for $D=3$.
| [
{
"created": "Tue, 28 Feb 2023 17:25:40 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2023 10:14:51 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Jun 2023 15:20:36 GMT",
"version": "v3"
},
{
"created": "Tue, 3 Oct 2023 14:53:55 GMT",
"version": "v4"
}
] | 2023-11-07 | [
[
"Croney",
"Lewis",
""
],
[
"Sarkar",
"Sarben",
""
]
] | The renormalisation group flow of a Hermitian field theory is shown to have trajectories which lead to a non-Hermitian Parity-Time ($\mathcal{PT}$) symmetric field theory for an axion coupled to a fermion in spacetime dimensions $D=4-\epsilon$, where $\epsilon >0 $. In this renormalisable field theory, the Dirac fermion field has a Yukawa coupling $g$ to a pseudoscalar (axion) field and there is quartic pseudoscalar self-coupling $u$. The robustness of this finding is established by considering flows between $\epsilon$ dpependent Wilson-Fisher fixed points and also by working to \emph{three loops} in the Yukawa coupling and to \emph{two loops} in the quartic scalar coupling. The flows in the neighbourhood of the non-trivial fixed points are calculated using perturbative analysis, together with the $\epsilon$ expansion. The global flow pattern indicates flows from positive $u$ to negative $u$; there are no flows between real and imaginary $g$. Using summation techniques we demonstrate a possible non-perturbative $\mathcal{PT}$-symmetric saddle point for $D=3$. |
1112.2229 | Anson Wong | Anson W.C. Wong, Robert B. Mann | Five-Dimensional Eguchi-Hanson Solitons in Einstein-Gauss-Bonnet Gravity | 26 pages, 11 figures | Phys. Rev. D 85, 046010 (2012) | 10.1103/PhysRevD.85.046010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Eguchi-Hanson solitons are odd-dimensional generalizations of the
four-dimensional Eguchi-Hanson metric and are asymptotic to
AdS$_5$\mathbb{Z}_p$ when the cosmological constant is either positive or
negative. We find soliton solutions to Lovelock gravity in 5 dimensions that
are generalizations of these objects.
| [
{
"created": "Fri, 9 Dec 2011 22:51:28 GMT",
"version": "v1"
}
] | 2012-09-14 | [
[
"Wong",
"Anson W. C.",
""
],
[
"Mann",
"Robert B.",
""
]
] | Eguchi-Hanson solitons are odd-dimensional generalizations of the four-dimensional Eguchi-Hanson metric and are asymptotic to AdS$_5$\mathbb{Z}_p$ when the cosmological constant is either positive or negative. We find soliton solutions to Lovelock gravity in 5 dimensions that are generalizations of these objects. |
hep-th/0603197 | Rong-Gen Cai | Rong-Gen Cai, Li-Ming Cao and Nobuyoshi Ohta | Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed
Horizons | Latex, 11 pages including two eps figures, two more references added,
minor changes, to appear in PLB | Phys.Lett.B639:354-361,2006 | 10.1016/j.physletb.2006.06.027 | null | hep-th gr-qc | null | Recently a five-dimensional Kaluza-Klein black hole solution with squashed
horizon has been found in hep-th/0510094. The black hole spacetime is
asymptotically locally flat and has a spatial infinity $S^1 \hookrightarrow
S^{2}$. By using "boundary counterterm" method and generalized Abbott-Deser
method, we calculate the mass of this black hole. When an appropriate
background is chosen, the generalized Abbott-Deser method gives the same mass
as the "boundary counterterm" method. The mass is found to satisfy the first
law of black hole thermodynamics. The thermodynamic properties of the
Kaluza-Klein black hole are discussed and are compared to those of its
undeformed counterpart, a five-dimensional Reissner-Nordstr\"om black hole.
| [
{
"created": "Sun, 26 Mar 2006 11:39:28 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Mar 2006 14:38:09 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Jun 2006 01:16:49 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Cao",
"Li-Ming",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | Recently a five-dimensional Kaluza-Klein black hole solution with squashed horizon has been found in hep-th/0510094. The black hole spacetime is asymptotically locally flat and has a spatial infinity $S^1 \hookrightarrow S^{2}$. By using "boundary counterterm" method and generalized Abbott-Deser method, we calculate the mass of this black hole. When an appropriate background is chosen, the generalized Abbott-Deser method gives the same mass as the "boundary counterterm" method. The mass is found to satisfy the first law of black hole thermodynamics. The thermodynamic properties of the Kaluza-Klein black hole are discussed and are compared to those of its undeformed counterpart, a five-dimensional Reissner-Nordstr\"om black hole. |
1312.5296 | K.B. Alkalaev | K.B. Alkalaev and Maxim Grigoriev | Frame-like Lagrangians and presymplectic AKSZ-type sigma models | 28 pages; v2: references added; v3: 34 pages, exposition improved,
typos removed, comments and refs added, new section 3.6.3 added with an
action for spin-s massless fields involving all HS connections on an equal
footing | null | 10.1142/S0217751X14501036 | FIAN-TD-2013-21 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study supergeometric structures underlying frame-like Lagrangians. We show
that for the theory in n spacetime dimensions both the frame-like Lagrangian
and its gauge symmetries are encoded in the target supermanifold equipped with
the odd vector field, the closed 2-form of ghost degree n-1, and the scalar
potential of ghost degree n. These structures satisfy a set of compatibility
conditions ensuring the gauge invariance of the theory. The Lagrangian and the
gauge symmetries have the same structures as those of AKSZ sigma model so that
frame-like formulation can be seen as its presymplectic generalization. In
contrast to the conventional AKSZ model the generalization allows to describe
systems with local degrees of freedom in terms of finite-dimensional target
space. We argue that the proposed frame-like approach is directly related de
Donder-Weyl polymomentum Hamiltonian formalism. Along with the standard
field-theoretical examples like Einstein-Yang-Mills theory we consider free
higher spin fields, multi-frame gravity, and parameterized systems. In
particular, we propose the frame-like action for free totally symmetric
massless fields that involves all higher spin connections on an equal footing.
| [
{
"created": "Wed, 18 Dec 2013 20:10:12 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Dec 2013 18:08:23 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Mar 2014 13:32:43 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Alkalaev",
"K. B.",
""
],
[
"Grigoriev",
"Maxim",
""
]
] | We study supergeometric structures underlying frame-like Lagrangians. We show that for the theory in n spacetime dimensions both the frame-like Lagrangian and its gauge symmetries are encoded in the target supermanifold equipped with the odd vector field, the closed 2-form of ghost degree n-1, and the scalar potential of ghost degree n. These structures satisfy a set of compatibility conditions ensuring the gauge invariance of the theory. The Lagrangian and the gauge symmetries have the same structures as those of AKSZ sigma model so that frame-like formulation can be seen as its presymplectic generalization. In contrast to the conventional AKSZ model the generalization allows to describe systems with local degrees of freedom in terms of finite-dimensional target space. We argue that the proposed frame-like approach is directly related de Donder-Weyl polymomentum Hamiltonian formalism. Along with the standard field-theoretical examples like Einstein-Yang-Mills theory we consider free higher spin fields, multi-frame gravity, and parameterized systems. In particular, we propose the frame-like action for free totally symmetric massless fields that involves all higher spin connections on an equal footing. |
2206.03434 | Sang-Eon Bak | Byoungjoon Ahn, Sang-Eon Bak, Viktor Jahnke, Keun-Young Kim | Traversable wormholes via a double trace deformation involving $U(1)$
conserved current operators | 31 pages, 8 figures, published version in PRD | Phys. Rev. D 109, 066016 (2024) | 10.1103/PhysRevD.109.066016 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effects of conservation laws on wormholes that are made
traversable by a double trace deformation. After coupling the two asymptotic
boundaries of a maximally extended $(d+1)$ dimensional black brane geometry
with $U(1)$ conserved current operators, we find that the quantum matter
stress-energy tensor of the corresponding bulk gauge fields in the hydrodynamic
limit violates the averaged null energy condition (ANEC), rendering the
wormhole traversable. Applying our results to axionic two-sided black hole
solutions, we discuss how the wormhole opening depends on the charge diffusion
constant, how this affects the amount of information that can be sent through
the wormhole, and possible implications for many-body quantum teleportation
protocols involving conserved current operators.
| [
{
"created": "Tue, 7 Jun 2022 16:40:54 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jul 2022 09:17:02 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Oct 2022 08:45:42 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Mar 2024 04:00:19 GMT",
"version": "v4"
}
] | 2024-03-22 | [
[
"Ahn",
"Byoungjoon",
""
],
[
"Bak",
"Sang-Eon",
""
],
[
"Jahnke",
"Viktor",
""
],
[
"Kim",
"Keun-Young",
""
]
] | We study the effects of conservation laws on wormholes that are made traversable by a double trace deformation. After coupling the two asymptotic boundaries of a maximally extended $(d+1)$ dimensional black brane geometry with $U(1)$ conserved current operators, we find that the quantum matter stress-energy tensor of the corresponding bulk gauge fields in the hydrodynamic limit violates the averaged null energy condition (ANEC), rendering the wormhole traversable. Applying our results to axionic two-sided black hole solutions, we discuss how the wormhole opening depends on the charge diffusion constant, how this affects the amount of information that can be sent through the wormhole, and possible implications for many-body quantum teleportation protocols involving conserved current operators. |
0708.2591 | Leonardo Rastelli | Leonardo Rastelli and Barton Zwiebach | The off-shell Veneziano amplitude in Schnabl gauge | 48 pages, 10 figures. v2:acknowledgments added | JHEP 0801:018,2008 | 10.1088/1126-6708/2008/01/018 | null | hep-th | null | We give a careful definition of the open string propagator in Schnabl gauge
and present its worldsheet interpretation. The propagator requires two
Schwinger parameters and contains the BRST operator. It builds surfaces by
gluing strips of variable width to the left and to the right of off-shell
states with contracted or expanded local frames. We evaluate explicitly the
four-point amplitude of off-shell tachyons. The computation involves a subtle
boundary term, crucial to enforce the correct exchange symmetries.
Interestingly, the familiar on-shell physics emerges even though string
diagrams produce Riemann surfaces more than once. Off-shell, the amplitudes do
not factorize over intermediate on-shell states.
| [
{
"created": "Mon, 20 Aug 2007 07:07:29 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Nov 2007 04:07:42 GMT",
"version": "v2"
}
] | 2009-06-11 | [
[
"Rastelli",
"Leonardo",
""
],
[
"Zwiebach",
"Barton",
""
]
] | We give a careful definition of the open string propagator in Schnabl gauge and present its worldsheet interpretation. The propagator requires two Schwinger parameters and contains the BRST operator. It builds surfaces by gluing strips of variable width to the left and to the right of off-shell states with contracted or expanded local frames. We evaluate explicitly the four-point amplitude of off-shell tachyons. The computation involves a subtle boundary term, crucial to enforce the correct exchange symmetries. Interestingly, the familiar on-shell physics emerges even though string diagrams produce Riemann surfaces more than once. Off-shell, the amplitudes do not factorize over intermediate on-shell states. |
1802.02588 | Aldo Riello | Aldo Riello | Quantum edge modes in 3d gravity and 2+1d topological phases of matter | 21 pages + appendix + bibliography; several figures | Phys. Rev. D 98, 106002 (2018) | 10.1103/PhysRevD.98.106002 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the edge mode structure of Euclidean three dimensional gravity
from within the quantum theory as embodied by a Ponzano-Regge-Turaev-Viro
discrete state sum with Gibbons-=-Hawking-York boundary conditions. This
structure is encoded in a pair of dual statistical models of the vertex and
face kind, which for specific choices of boundary conditions turn out to be
integrable. The duality is just the manifestation of a pervasive dual structure
which manifests at different levels of the classical and quantum theories.
Emphasis will be put on the geometrical interpretation of the edge modes which
leads in particular to the identification of the quantum analogue of Carlip's
would-be normal diffeomorphisms. We also provide a reinterpretation of our
construction in terms of a non-Abelian 2+1 topological phase with electric
boundary conditions.
| [
{
"created": "Wed, 7 Feb 2018 19:00:18 GMT",
"version": "v1"
}
] | 2018-11-14 | [
[
"Riello",
"Aldo",
""
]
] | We analyze the edge mode structure of Euclidean three dimensional gravity from within the quantum theory as embodied by a Ponzano-Regge-Turaev-Viro discrete state sum with Gibbons-=-Hawking-York boundary conditions. This structure is encoded in a pair of dual statistical models of the vertex and face kind, which for specific choices of boundary conditions turn out to be integrable. The duality is just the manifestation of a pervasive dual structure which manifests at different levels of the classical and quantum theories. Emphasis will be put on the geometrical interpretation of the edge modes which leads in particular to the identification of the quantum analogue of Carlip's would-be normal diffeomorphisms. We also provide a reinterpretation of our construction in terms of a non-Abelian 2+1 topological phase with electric boundary conditions. |
1602.00704 | Jacob Sonnenschein | Jacob Sonnenschein | Holography Inspired Stringy Hadrons | 73 pages. typos corrected. references added. figures added. version
published in Progress in Particle and Nuclear Physics. References added | null | 10.1016/j.ppnp.2016.06.005 | TAUP-3021-16 | hep-th hep-ex hep-lat hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Holography inspired stringy hadrons (HISH) is a set of models that describe
hadrons: mesons, baryons and glueballs as strings in four dimensional space
time. The models are based on a "map" from stringy hadrons of holographic
confining backgrounds. In this note we review the "derivation" of the models.
We start with a brief reminder of the passage from the AdS5xS5 string theory to
certain flavored confining holographic models. We then describe the string
configurations in holographic backgrounds that correspond to a Wilson line,a
meson,a baryon and a glueball. The key ingredients of the four dimensional
picture of hadrons are the "string endpoint mass" and the "baryonic string
vertex". We determine the classical trajectories of the HISH. We review the
current understanding of the quantization of the hadronic strings. We end with
a summary of the comparison of the outcome of the HISH models with the PDG data
about mesons and baryons. We extract the values of the tension, masses and
intercepts from best fits, write down certain predictions for higher excited
hadrons and present attempts to identify glueballs
| [
{
"created": "Mon, 1 Feb 2016 21:06:11 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Feb 2016 09:37:10 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Jun 2016 08:50:09 GMT",
"version": "v3"
},
{
"created": "Sun, 20 Nov 2016 12:49:18 GMT",
"version": "v4"
}
] | 2017-01-04 | [
[
"Sonnenschein",
"Jacob",
""
]
] | Holography inspired stringy hadrons (HISH) is a set of models that describe hadrons: mesons, baryons and glueballs as strings in four dimensional space time. The models are based on a "map" from stringy hadrons of holographic confining backgrounds. In this note we review the "derivation" of the models. We start with a brief reminder of the passage from the AdS5xS5 string theory to certain flavored confining holographic models. We then describe the string configurations in holographic backgrounds that correspond to a Wilson line,a meson,a baryon and a glueball. The key ingredients of the four dimensional picture of hadrons are the "string endpoint mass" and the "baryonic string vertex". We determine the classical trajectories of the HISH. We review the current understanding of the quantization of the hadronic strings. We end with a summary of the comparison of the outcome of the HISH models with the PDG data about mesons and baryons. We extract the values of the tension, masses and intercepts from best fits, write down certain predictions for higher excited hadrons and present attempts to identify glueballs |
1209.4906 | James Halverson | Mirjam Cveti\v{c}, Ron Donagi, James Halverson, Joseph Marsano | On Seven-Brane Dependent Instanton Prefactors in F-theory | 86 pages | Published in JHEP 1211 (2012) 004 | 10.1007/JHEP11(2012)004. | NSF-KITP-12-170. UPR-1240-T. EFI-12-13 | hep-th hep-ph math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the moduli-dependent prefactor of M5-instanton corrections to the
superpotential in four-dimensional F-theory compactifications. In light of the
M-theory and type IIb limits and also heterotic duality, we propose that the
explicit moduli dependence of the prefactor can be computed by a study of zero
modes localized at intersections between the instanton and seven-branes. We
present an instanton prefactor in an E_6 F-theory GUT which does not admit a
heterotic dual and show that it vanishes if and only if a point of E_8
enhancement is present in the instanton worldvolume. More generically, we
discuss the relationship between points of E_8 and superpotential zeroes and
give sufficient conditions for such a point to cause a zero, even for an SU(5)
GUT. We scan a large class of compactifications for instanton physics and
demonstrate that many instantons have the same prefactor structure. We discuss
the associated implications and complications for moduli stabilization. We
present an explicit resolution and construction of G-flux in a generic E_6 GUT
and identify a global compactification of the local model spectral cover which
happens to facilitate prefactor computations. Via a Leray spectral sequence, we
demonstrate the relationship between right-movers of heterotic worldsheet
instantons, 3-3 strings of euclidean D3 instantons, and the Fermi zero modes of
M5-instantons.
| [
{
"created": "Fri, 21 Sep 2012 20:04:08 GMT",
"version": "v1"
}
] | 2013-04-30 | [
[
"Cvetič",
"Mirjam",
""
],
[
"Donagi",
"Ron",
""
],
[
"Halverson",
"James",
""
],
[
"Marsano",
"Joseph",
""
]
] | We study the moduli-dependent prefactor of M5-instanton corrections to the superpotential in four-dimensional F-theory compactifications. In light of the M-theory and type IIb limits and also heterotic duality, we propose that the explicit moduli dependence of the prefactor can be computed by a study of zero modes localized at intersections between the instanton and seven-branes. We present an instanton prefactor in an E_6 F-theory GUT which does not admit a heterotic dual and show that it vanishes if and only if a point of E_8 enhancement is present in the instanton worldvolume. More generically, we discuss the relationship between points of E_8 and superpotential zeroes and give sufficient conditions for such a point to cause a zero, even for an SU(5) GUT. We scan a large class of compactifications for instanton physics and demonstrate that many instantons have the same prefactor structure. We discuss the associated implications and complications for moduli stabilization. We present an explicit resolution and construction of G-flux in a generic E_6 GUT and identify a global compactification of the local model spectral cover which happens to facilitate prefactor computations. Via a Leray spectral sequence, we demonstrate the relationship between right-movers of heterotic worldsheet instantons, 3-3 strings of euclidean D3 instantons, and the Fermi zero modes of M5-instantons. |
hep-th/0603204 | Rafael Hernandez | Rafael Hernandez, Esperanza Lopez | Quantum corrections to the string Bethe ansatz | 12 pages. Latex. v2: Misprints corrected and references added | JHEP0607:004,2006 | 10.1088/1126-6708/2006/07/004 | null | hep-th | null | One-loop corrections to the energy of semiclassical rotating strings contain
both analytic and non-analytic terms in the 't Hooft coupling. Analytic
contributions agree with the prediction from the string Bethe ansatz based on
the classical S-matrix, but in order to include non-analytic contributions
quantum corrections are required. We find a general expression for the first
quantum correction to the string Bethe ansatz.
| [
{
"created": "Mon, 27 Mar 2006 16:18:33 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2006 17:23:13 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Hernandez",
"Rafael",
""
],
[
"Lopez",
"Esperanza",
""
]
] | One-loop corrections to the energy of semiclassical rotating strings contain both analytic and non-analytic terms in the 't Hooft coupling. Analytic contributions agree with the prediction from the string Bethe ansatz based on the classical S-matrix, but in order to include non-analytic contributions quantum corrections are required. We find a general expression for the first quantum correction to the string Bethe ansatz. |
1407.7815 | Hai Lin | Hai Lin | Relation between large dimension operators and oscillator algebra of
Young diagrams | 21 pages | null | 10.1142/S0219887815500474 | null | hep-th math-ph math.MP nlin.SI quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The operators with large scaling dimensions can be labelled by Young
diagrams. Among other bases, the operators using restricted Schur polynomials
have been known to have a large $N$ but nonplanar limit under which they map to
states of a system of harmonic oscillators. We analyze the oscillator algebra
acting on pairs of long rows or long columns in the Young diagrams of the
operators. The oscillator algebra can be reached by a Inonu-Wigner contraction
of the $u(2)$ algebra inside of the $u(p)$ algebra of $p$ giant gravitons. We
present evidences that integrability in this case can persist at higher loops
due to the presence of the oscillator algebra which is expected to be robust
under loop corrections in the nonplanar large $N$ limit.
| [
{
"created": "Tue, 29 Jul 2014 18:34:21 GMT",
"version": "v1"
}
] | 2024-02-29 | [
[
"Lin",
"Hai",
""
]
] | The operators with large scaling dimensions can be labelled by Young diagrams. Among other bases, the operators using restricted Schur polynomials have been known to have a large $N$ but nonplanar limit under which they map to states of a system of harmonic oscillators. We analyze the oscillator algebra acting on pairs of long rows or long columns in the Young diagrams of the operators. The oscillator algebra can be reached by a Inonu-Wigner contraction of the $u(2)$ algebra inside of the $u(p)$ algebra of $p$ giant gravitons. We present evidences that integrability in this case can persist at higher loops due to the presence of the oscillator algebra which is expected to be robust under loop corrections in the nonplanar large $N$ limit. |
1812.00923 | Brandon Robinson | John Estes, Darya Krym, Andy O'Bannon, Brandon Robinson, and Ronnie
Rodgers | Wilson Surface Central Charge from Holographic Entanglement Entropy | 51 pages, 7 figures | null | 10.1007/JHEP05(2019)032 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use entanglement entropy to define a central charge associated to a
two-dimensional defect or boundary in a conformal field theory (CFT). We
present holographic calculations of this central charge for several maximally
supersymmetric CFTs dual to eleven-dimensional supergravity in Anti-de Sitter
space, namely the M5-brane theory with a Wilson surface defect and
three-dimensional CFTs related to the M2-brane theory with a boundary. Our
results for the central charge depend on a partition of the number of
M2-branes, $N$, ending on the number of M5-branes, $M$. For the Wilson surface,
the partition specifies a representation of the gauge algebra, and we write our
result for the central charge in a compact form in terms of the algebra's Weyl
vector and the representation's highest weight vector. We explore how the
central charge scales with $N$ and $M$ for some examples of partitions. In
general the central charge does not scale as $M^3$ or $N^{3/2}$, the number of
degrees of freedom of the M5- or M2-brane theory at large $M$ or $N$,
respectively.
| [
{
"created": "Mon, 3 Dec 2018 17:28:12 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jul 2019 19:51:49 GMT",
"version": "v2"
}
] | 2019-07-15 | [
[
"Estes",
"John",
""
],
[
"Krym",
"Darya",
""
],
[
"O'Bannon",
"Andy",
""
],
[
"Robinson",
"Brandon",
""
],
[
"Rodgers",
"Ronnie",
""
]
] | We use entanglement entropy to define a central charge associated to a two-dimensional defect or boundary in a conformal field theory (CFT). We present holographic calculations of this central charge for several maximally supersymmetric CFTs dual to eleven-dimensional supergravity in Anti-de Sitter space, namely the M5-brane theory with a Wilson surface defect and three-dimensional CFTs related to the M2-brane theory with a boundary. Our results for the central charge depend on a partition of the number of M2-branes, $N$, ending on the number of M5-branes, $M$. For the Wilson surface, the partition specifies a representation of the gauge algebra, and we write our result for the central charge in a compact form in terms of the algebra's Weyl vector and the representation's highest weight vector. We explore how the central charge scales with $N$ and $M$ for some examples of partitions. In general the central charge does not scale as $M^3$ or $N^{3/2}$, the number of degrees of freedom of the M5- or M2-brane theory at large $M$ or $N$, respectively. |
1312.4145 | Yu-Xiao Liu | Yu-Xiao Liu, Zeng-Guang Xu, Feng-Wei Chen, Shao-Wen Wei | New localization mechanism of fermions on braneworlds | 8 pages, 2 figures | Phys. Rev. D 89, 086001 (2014) | 10.1103/PhysRevD.89.086001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that by introducing the Yukawa coupling between the fermion and
the background scalar field, a bulk spin-half fermion can be localized on
general Randall-Sundrum braneworlds generated by a kinklike background scalar.
However, this localization mechanism does not work anymore for Randall-Sundrum
braneworlds generated by a scalar whose configuration is an even function of
the extra dimension. In this paper, we present a new localization mechanism for
spin-half fermions for such a class of braneworld models, in which extra
dimension has the topology $S^1/Z_2$. By two examples, it is shown that the new
localization mechanism produces interesting results. In the first model with
the brane generated by two scalars, the zero mode of the left-handed fermion is
localized on the brane and there is a mass gap between the fermion zero mode
and excited KK modes. In the second model with the brane generated by a dilaton
scalar, the zero mode of the left- or right-chiral fermion can be localized on
the brane and there is no mass gap.
| [
{
"created": "Sun, 15 Dec 2013 13:00:16 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Aug 2014 13:54:18 GMT",
"version": "v2"
}
] | 2014-08-15 | [
[
"Liu",
"Yu-Xiao",
""
],
[
"Xu",
"Zeng-Guang",
""
],
[
"Chen",
"Feng-Wei",
""
],
[
"Wei",
"Shao-Wen",
""
]
] | It is known that by introducing the Yukawa coupling between the fermion and the background scalar field, a bulk spin-half fermion can be localized on general Randall-Sundrum braneworlds generated by a kinklike background scalar. However, this localization mechanism does not work anymore for Randall-Sundrum braneworlds generated by a scalar whose configuration is an even function of the extra dimension. In this paper, we present a new localization mechanism for spin-half fermions for such a class of braneworld models, in which extra dimension has the topology $S^1/Z_2$. By two examples, it is shown that the new localization mechanism produces interesting results. In the first model with the brane generated by two scalars, the zero mode of the left-handed fermion is localized on the brane and there is a mass gap between the fermion zero mode and excited KK modes. In the second model with the brane generated by a dilaton scalar, the zero mode of the left- or right-chiral fermion can be localized on the brane and there is no mass gap. |
1011.0676 | Ahmad Sheykhi | Ahmad Sheykhi and Seyed Hossein Hendi | Power-Law Entropic Corrections to Newton's Law and Friedmann Equations | 7 pages, to appear in Phys. Rev. D | Phys.Rev.D84:044023,2011 | 10.1103/PhysRevD.84.044023 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/3.0/ | A possible source of black hole entropy could be the entanglement of quantum
fields in and out the horizon. The entanglement entropy of the ground state
obeys the area law. However, a correction term proportional to a fractional
power of area results when the field is in a superposition of ground and
excited states. Inspired by the power-law corrections to entropy and adopting
the viewpoint that gravity emerges as an entropic force, we derive modified
Newton's law of gravitation as well as the corrections to Friedmann equations.
In a different approach, we obtained power-law corrected Friedmann equation by
starting from the first law of thermodynamics at apparent horizon of a FRW
universe, and assuming that the associated entropy with apparent horizon has a
power-law corrected relation. Our study shows a consistency between the
obtained results of these two approaches. We also examine the time evolution of
the total entropy including the power-law corrected entropy associated with the
apparent horizon together with the matter field entropy inside the apparent
horizon and show that the generalized second law of thermodynamics is fulfilled
in a region enclosed by the apparent horizon.
| [
{
"created": "Tue, 2 Nov 2010 16:54:07 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Nov 2010 18:04:14 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Aug 2011 11:23:26 GMT",
"version": "v3"
}
] | 2011-08-22 | [
[
"Sheykhi",
"Ahmad",
""
],
[
"Hendi",
"Seyed Hossein",
""
]
] | A possible source of black hole entropy could be the entanglement of quantum fields in and out the horizon. The entanglement entropy of the ground state obeys the area law. However, a correction term proportional to a fractional power of area results when the field is in a superposition of ground and excited states. Inspired by the power-law corrections to entropy and adopting the viewpoint that gravity emerges as an entropic force, we derive modified Newton's law of gravitation as well as the corrections to Friedmann equations. In a different approach, we obtained power-law corrected Friedmann equation by starting from the first law of thermodynamics at apparent horizon of a FRW universe, and assuming that the associated entropy with apparent horizon has a power-law corrected relation. Our study shows a consistency between the obtained results of these two approaches. We also examine the time evolution of the total entropy including the power-law corrected entropy associated with the apparent horizon together with the matter field entropy inside the apparent horizon and show that the generalized second law of thermodynamics is fulfilled in a region enclosed by the apparent horizon. |
1106.3686 | Changrim Ahn | Changrim Ahn and Plamen Bozhilov | Finite-size Giant Magnons on AdS_4 x CP^3_{\gamma} | 12 pages | null | 10.1016/j.physletb.2011.07.065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate finite-size giant magnons propagating on \gamma-deformed AdS_4
x CP^3_{\gamma} type IIA string theory background, dual to one parameter
deformation of the N=6 super Chern-Simoms-matter theory. Analyzing the
finite-size effect on the dispersion relation, we find that it is modified
compared to the undeformed case, acquiring \gamma dependence.
| [
{
"created": "Sat, 18 Jun 2011 20:32:47 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Ahn",
"Changrim",
""
],
[
"Bozhilov",
"Plamen",
""
]
] | We investigate finite-size giant magnons propagating on \gamma-deformed AdS_4 x CP^3_{\gamma} type IIA string theory background, dual to one parameter deformation of the N=6 super Chern-Simoms-matter theory. Analyzing the finite-size effect on the dispersion relation, we find that it is modified compared to the undeformed case, acquiring \gamma dependence. |
1303.2661 | Federico Bonetti | Federico Bonetti, Thomas W. Grimm and Stefan Hohenegger | Exploring 6D origins of 5D supergravities with Chern-Simons terms | 10 pages, 1 figure | null | 10.1007/JHEP05(2013)124 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider five-dimensional supergravity theories with eight or sixteen
supercharges with Abelian vector fields and ungauged scalars. We address the
question under which conditions these theories can be interpreted as effective
low energy descriptions of circle reductions of anomaly free six-dimensional
theories with (1,0) or (2,0) supersymmetry. We argue that classical and
one-loop gauge- and gravitational Chern-Simons terms are instrumental for this
question.
| [
{
"created": "Mon, 11 Mar 2013 20:00:04 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Bonetti",
"Federico",
""
],
[
"Grimm",
"Thomas W.",
""
],
[
"Hohenegger",
"Stefan",
""
]
] | We consider five-dimensional supergravity theories with eight or sixteen supercharges with Abelian vector fields and ungauged scalars. We address the question under which conditions these theories can be interpreted as effective low energy descriptions of circle reductions of anomaly free six-dimensional theories with (1,0) or (2,0) supersymmetry. We argue that classical and one-loop gauge- and gravitational Chern-Simons terms are instrumental for this question. |
1801.07464 | Taizan Watari | Satoshi Kondo and Taizan Watari | String-theory Realization of Modular Forms for Elliptic Curves with
Complex Multiplication | 48 pages; minor corrections and improvements in v2 | null | 10.1007/s00220-019-03302-0 | IPMU18-0019 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that the L-function of an elliptic curve defined over Q is given
by the Mellin transform of a modular form of weight 2. Does that modular form
have anything to do with string theory? In this article, we address a question
along this line for elliptic curves that have complex multiplication defined
over number fields. So long as we use diagonal rational N=(2,2) superconformal
field theories for the string-theory realizations of the elliptic curves, the
weight-2 modular form turns out to be the Boltzmann-weighted
(q^{L_0-c/24}-weighted) sum of U(1) charges with F e^{ \pi i F} insertion
computed in the Ramond sector.
| [
{
"created": "Tue, 23 Jan 2018 10:03:57 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2018 15:16:54 GMT",
"version": "v2"
}
] | 2019-03-27 | [
[
"Kondo",
"Satoshi",
""
],
[
"Watari",
"Taizan",
""
]
] | It is known that the L-function of an elliptic curve defined over Q is given by the Mellin transform of a modular form of weight 2. Does that modular form have anything to do with string theory? In this article, we address a question along this line for elliptic curves that have complex multiplication defined over number fields. So long as we use diagonal rational N=(2,2) superconformal field theories for the string-theory realizations of the elliptic curves, the weight-2 modular form turns out to be the Boltzmann-weighted (q^{L_0-c/24}-weighted) sum of U(1) charges with F e^{ \pi i F} insertion computed in the Ramond sector. |
2310.04206 | Laura Batini | Laura Batini, Aleksandr Chatrchyan and J\"urgen Berges | Real-time dynamics of false vacuum decay | 18 pages, 12 figures. v2: journal version | Phys. Rev. D 109 (2024) 2, 023502 | 10.1103/PhysRevD.109.023502 | DESY-23-158, NORDITA 2023-082 | hep-th astro-ph.CO gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate false vacuum decay of a relativistic scalar field initialized
in the metastable minimum of an asymmetric double-well potential. The
transition to the true ground state is a well-defined initial-value problem in
real time, which can be formulated in nonequilibrium quantum field theory on a
closed time path. We employ the non-perturbative framework of the two-particle
irreducible (2PI) quantum effective action at next-to-leading order in a
large-N expansion. We also compare to classical-statistical field theory
simulations on a lattice in the high-temperature regime. By this, we
demonstrate that the real-time decay rates are comparable to those obtained
from the conventional Euclidean (bounce) approach. In general, we find that the
decay rates are time dependent. For a more comprehensive description of the
dynamics, we extract a time-dependent effective potential, which becomes convex
during the nonequilibrium transition process. By solving the quantum evolution
equations for the one- and two-point correlation functions for vacuum initial
conditions, we demonstrate that quantum corrections can lead to transitions
that are not captured by classical-statistical approximations.
| [
{
"created": "Fri, 6 Oct 2023 12:44:48 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Jan 2024 12:32:09 GMT",
"version": "v2"
}
] | 2024-01-09 | [
[
"Batini",
"Laura",
""
],
[
"Chatrchyan",
"Aleksandr",
""
],
[
"Berges",
"Jürgen",
""
]
] | We investigate false vacuum decay of a relativistic scalar field initialized in the metastable minimum of an asymmetric double-well potential. The transition to the true ground state is a well-defined initial-value problem in real time, which can be formulated in nonequilibrium quantum field theory on a closed time path. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion. We also compare to classical-statistical field theory simulations on a lattice in the high-temperature regime. By this, we demonstrate that the real-time decay rates are comparable to those obtained from the conventional Euclidean (bounce) approach. In general, we find that the decay rates are time dependent. For a more comprehensive description of the dynamics, we extract a time-dependent effective potential, which becomes convex during the nonequilibrium transition process. By solving the quantum evolution equations for the one- and two-point correlation functions for vacuum initial conditions, we demonstrate that quantum corrections can lead to transitions that are not captured by classical-statistical approximations. |
1412.8728 | Fernando C. Lombardo | M. Bel\'en Far\'ias, C\'esar D. Fosco, Fernando C. Lombardo, Francisco
D. Mazzitelli, and Adri\'an E. Rubio L\'opez | Functional approach to quantum friction: effective action and
dissipative force | null | Phys. Rev. D 91, 105020 (2015) | 10.1103/PhysRevD.91.105020 | null | hep-th cond-mat.other quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Casimir friction due to the relative, uniform, lateral motion of
two parallel semitransparent mirrors coupled to a vacuum real scalar field,
$\phi$. We follow a functional approach, whereby nonlocal terms in the action
for $\phi$, concentrated on the mirrors' locii, appear after functional
integration of the microscopic degrees of freedom. This action for $\phi$,
which incorporates the relevant properties of the mirrors, is then used as the
starting point for two complementary evaluations: Firstly, we calculate the {
in-out} effective action for the system, which develops an imaginary part,
hence a non-vanishing probability for the decay (because of friction) of the
initial vacuum state. Secondly, we evaluate another observable: the vacuum
expectation value of the frictional force, using the { in-in} or Closed Time
Path formalism. Explicit results are presented for zero-width mirrors and
half-spaces, in a model where the microscopic degrees of freedom at the mirrors
are a set of identical quantum harmonic oscillators, linearly coupled to $\phi$
| [
{
"created": "Tue, 30 Dec 2014 18:50:05 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Dec 2014 02:40:47 GMT",
"version": "v2"
},
{
"created": "Thu, 28 May 2015 03:28:34 GMT",
"version": "v3"
}
] | 2015-06-11 | [
[
"Farías",
"M. Belén",
""
],
[
"Fosco",
"César D.",
""
],
[
"Lombardo",
"Fernando C.",
""
],
[
"Mazzitelli",
"Francisco D.",
""
],
[
"López",
"Adrián E. Rubio",
""
]
] | We study the Casimir friction due to the relative, uniform, lateral motion of two parallel semitransparent mirrors coupled to a vacuum real scalar field, $\phi$. We follow a functional approach, whereby nonlocal terms in the action for $\phi$, concentrated on the mirrors' locii, appear after functional integration of the microscopic degrees of freedom. This action for $\phi$, which incorporates the relevant properties of the mirrors, is then used as the starting point for two complementary evaluations: Firstly, we calculate the { in-out} effective action for the system, which develops an imaginary part, hence a non-vanishing probability for the decay (because of friction) of the initial vacuum state. Secondly, we evaluate another observable: the vacuum expectation value of the frictional force, using the { in-in} or Closed Time Path formalism. Explicit results are presented for zero-width mirrors and half-spaces, in a model where the microscopic degrees of freedom at the mirrors are a set of identical quantum harmonic oscillators, linearly coupled to $\phi$ |
2102.11390 | Christian Saemann | Leron Borsten, Branislav Jurco, Hyungrok Kim, Tommaso Macrelli,
Christian Saemann, Martin Wolf | Double Copy from Homotopy Algebras | v2: 168 pages, presentation improved, typos fixed, published version | Fortschr. Phys. 69 (2021) 2100075 | 10.1002/prop.202100075 | DMUS-MP-21/04, EMPG-21-03 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the BRST Lagrangian double copy construction of $\mathcal{N}=0$
supergravity as the `square' of Yang-Mills theory finds a natural
interpretation in terms of homotopy algebras. We significantly expand on our
previous work arguing the validity of the double copy at the loop level, and we
give a detailed derivation of the double copied Lagrangian and BRST operator.
Our constructions are very general and can be applied to a vast set of
examples.
| [
{
"created": "Mon, 22 Feb 2021 22:31:17 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Sep 2021 08:19:40 GMT",
"version": "v2"
}
] | 2021-09-09 | [
[
"Borsten",
"Leron",
""
],
[
"Jurco",
"Branislav",
""
],
[
"Kim",
"Hyungrok",
""
],
[
"Macrelli",
"Tommaso",
""
],
[
"Saemann",
"Christian",
""
],
[
"Wolf",
"Martin",
""
]
] | We show that the BRST Lagrangian double copy construction of $\mathcal{N}=0$ supergravity as the `square' of Yang-Mills theory finds a natural interpretation in terms of homotopy algebras. We significantly expand on our previous work arguing the validity of the double copy at the loop level, and we give a detailed derivation of the double copied Lagrangian and BRST operator. Our constructions are very general and can be applied to a vast set of examples. |
hep-th/0407121 | Jorge Henrique de Oliveira Sales | J. H. O. Sales, A. T. Suzuki and G.E.R. Zambrano | Relativistic free-particle quantization on the light-front: New aspects | To appear in the proceedings "IX Hadron Physics and VII Relativistic
Aspects of Nuclear Physics: A Joint Meeting on QCD and QGP, Hadron
Physics-RANP,2004,Angra dos Reis, Rio de Janeiro,Brazil | null | 10.1063/1.1843699 | null | hep-th | null | We use the light-front machinery to study the behavior of a relativistic free
particle and obtain the quantum commutation relations from the classical
Poisson brackets. We argue that the usual projection onto the light-front
coordinates for these from the covariant commutation ralations does not
reproduce the expected results.
| [
{
"created": "Wed, 14 Jul 2004 12:42:44 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Sales",
"J. H. O.",
""
],
[
"Suzuki",
"A. T.",
""
],
[
"Zambrano",
"G. E. R.",
""
]
] | We use the light-front machinery to study the behavior of a relativistic free particle and obtain the quantum commutation relations from the classical Poisson brackets. We argue that the usual projection onto the light-front coordinates for these from the covariant commutation ralations does not reproduce the expected results. |
1207.5106 | Shin'ichi Nojiri | Shin'ichi Nojiri and Sergei D. Odintsov | Ghost-free $F(R)$ bigravity and accelerating cosmology | LaTeX 11 pages, references are added, version to appear in Physics
Letters B | null | 10.1016/j.physletb.2012.08.049 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a bigravity analogue of the $F(R)$ gravity. Our construction is
based on recent ghost-free massive bigravity where additional scalar fields are
added and the corresponding conformal transformation is implemented. It turns
out that $F(R)$ bigravity is easier to formulate in terms of the auxiliary
scalars as the explicit presentation in terms of $F(R)$ is quite cumbersome.
The consistent cosmological reconstruction scheme of $F(R)$ bigravity is
developed in detail, showing the possibility to realize nearly arbitrary
physical universe evolution with consistent solution for second metric. The
examples of accelerating universe which includes phantom, quintessence and
$\Lambda$CDM acceleration are worked out in detail and their physical
properties are briefly discussed.
| [
{
"created": "Sat, 21 Jul 2012 07:11:38 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2012 04:10:49 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We propose a bigravity analogue of the $F(R)$ gravity. Our construction is based on recent ghost-free massive bigravity where additional scalar fields are added and the corresponding conformal transformation is implemented. It turns out that $F(R)$ bigravity is easier to formulate in terms of the auxiliary scalars as the explicit presentation in terms of $F(R)$ is quite cumbersome. The consistent cosmological reconstruction scheme of $F(R)$ bigravity is developed in detail, showing the possibility to realize nearly arbitrary physical universe evolution with consistent solution for second metric. The examples of accelerating universe which includes phantom, quintessence and $\Lambda$CDM acceleration are worked out in detail and their physical properties are briefly discussed. |
1905.00026 | Domenico Orlando | Domenico Orlando, Susanne Reffert and Francesco Sannino | A safe CFT at large charge | 18 pages, published version, some typos corrected | null | 10.1007/JHEP08(2019)164 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the large-charge limit to the first known example of a
four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed
point in all couplings. We determine the energy of the ground state in presence
of large fixed global charges and deduce the global symmetry breaking pattern.
We show that the fermions decouple at low energy leaving behind a confining
Yang-Mills theory and a characteristic spectrum of type I (relativistic) and
type II (non-relativistic) Goldstone bosons. Armed with the knowledge acquired
above we finally arrive at establishing the conformal dimensions of the theory
as a triple expansion in the large-charge, the number of flavors and the
controllably small inverse gauge coupling constant at the UV fixed point. Our
results unveil a number of noteworthy properties of the low-energy spectrum,
vacuum energy and conformal properties of the theory. They also allow us to
derive a new consistency condition for the relative sizes of the couplings at
the fixed point.
| [
{
"created": "Tue, 30 Apr 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2019 09:35:57 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Feb 2020 12:20:45 GMT",
"version": "v3"
}
] | 2020-02-26 | [
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
],
[
"Sannino",
"Francesco",
""
]
] | We apply the large-charge limit to the first known example of a four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed point in all couplings. We determine the energy of the ground state in presence of large fixed global charges and deduce the global symmetry breaking pattern. We show that the fermions decouple at low energy leaving behind a confining Yang-Mills theory and a characteristic spectrum of type I (relativistic) and type II (non-relativistic) Goldstone bosons. Armed with the knowledge acquired above we finally arrive at establishing the conformal dimensions of the theory as a triple expansion in the large-charge, the number of flavors and the controllably small inverse gauge coupling constant at the UV fixed point. Our results unveil a number of noteworthy properties of the low-energy spectrum, vacuum energy and conformal properties of the theory. They also allow us to derive a new consistency condition for the relative sizes of the couplings at the fixed point. |
hep-th/0102136 | Klaus Bering | K. Bering (Rockefeller U) | Product of Boundary Distributions | 24 pages, LaTeX | null | null | RU01-01-B | hep-th | null | 1) We identify new parameter branches for the ultra-local boundary Poisson
bracket in d spatial dimension with a (d-1)-dimensional spatial boundary. There
exist 2^{r(r-1)/2} r-dimensional parameter branches for each d-box, r-row Young
tableau. The already known branch (hep-th/9912017) corresponds to a vertical
1-column, d-box Young tableau. 2) We consider a local distribution product
among the so-called boundary distributions. The product is required to respect
the associativity and the Leibnitz rule. We show that the consistency
requirements on this product correspond to the Jacobi identity conditions for
the boundary Poisson bracket. In other words, the restrictions on forming a
boundary Poisson bracket can be related to the more fundamental distribution
product construction. 3) The definition of the higher functional derivatives is
made independent of the choice of integral kernel representative for a
functional.
| [
{
"created": "Tue, 20 Feb 2001 22:30:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bering",
"K.",
"",
"Rockefeller U"
]
] | 1) We identify new parameter branches for the ultra-local boundary Poisson bracket in d spatial dimension with a (d-1)-dimensional spatial boundary. There exist 2^{r(r-1)/2} r-dimensional parameter branches for each d-box, r-row Young tableau. The already known branch (hep-th/9912017) corresponds to a vertical 1-column, d-box Young tableau. 2) We consider a local distribution product among the so-called boundary distributions. The product is required to respect the associativity and the Leibnitz rule. We show that the consistency requirements on this product correspond to the Jacobi identity conditions for the boundary Poisson bracket. In other words, the restrictions on forming a boundary Poisson bracket can be related to the more fundamental distribution product construction. 3) The definition of the higher functional derivatives is made independent of the choice of integral kernel representative for a functional. |
1006.1580 | Rodrigo Bufalo Santos | Rodrigo Bufalo, Rodolfo Casana and Bruto Max Pimentel | Strong coupling limits and quantum isomorphisms of the gauged Thirring
model | 14 pages | null | 10.1142/S0217751X11052918 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied the quantum equivalence in the respective strong coupling
limits of the bidimensional gauged Thirring model with both Schwinger and
Thirring models. It is achieved following a nonperturbative quantization of the
gauged Thirring model into the path-integral approach. First, we have
established the constraint structure via the Dirac's formalism for constrained
systems and defined the correct vacuum--vacuum transition amplitude by using
the Faddeev-Senjanovic method. Next, we have computed exactly the relevant
Green's functions and shown the Ward-Takahashi identities. Afterwards, we have
established the quantum isomorphisms between gauged Thirring model and both
Schwinger and Thirring models by analyzing the respective Green's functions in
the strong coupling limits, respectively. A special attention is necessary to
establish the quantum isomorphism between the gauged Thirring model and the
Thirring model.
| [
{
"created": "Tue, 8 Jun 2010 14:55:26 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2011 14:05:19 GMT",
"version": "v2"
}
] | 2015-05-19 | [
[
"Bufalo",
"Rodrigo",
""
],
[
"Casana",
"Rodolfo",
""
],
[
"Pimentel",
"Bruto Max",
""
]
] | We have studied the quantum equivalence in the respective strong coupling limits of the bidimensional gauged Thirring model with both Schwinger and Thirring models. It is achieved following a nonperturbative quantization of the gauged Thirring model into the path-integral approach. First, we have established the constraint structure via the Dirac's formalism for constrained systems and defined the correct vacuum--vacuum transition amplitude by using the Faddeev-Senjanovic method. Next, we have computed exactly the relevant Green's functions and shown the Ward-Takahashi identities. Afterwards, we have established the quantum isomorphisms between gauged Thirring model and both Schwinger and Thirring models by analyzing the respective Green's functions in the strong coupling limits, respectively. A special attention is necessary to establish the quantum isomorphism between the gauged Thirring model and the Thirring model. |
hep-th/9812200 | null | M. Billo and R. Russo | Ramond-Ramond (boundary) states | 8 pages, LaTeX, no figures. Talk presented at the 2nd Conference on
Quantum aspects of Gauge Theories, Supersymmetry and Unification, Corfu,
Greece, 21-26 September 1996 | null | 10.1007/BFb0104271 | KUL-TF-98/59, NEIP-98-020 | hep-th | null | The description of D-branes as boundary states for type II string theories
(in the covariant formulation) requires particular care in the R-R sector. Also
the vertices for R-R potentials that can couple to D-branes need a careful
handling. As an illustration of this, the example of the D0-D8 system is
reviewed, where a ``microscopic'' description of the interaction via exchange
of R-R potentials becomes possible.
| [
{
"created": "Tue, 22 Dec 1998 13:28:12 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Billo",
"M.",
""
],
[
"Russo",
"R.",
""
]
] | The description of D-branes as boundary states for type II string theories (in the covariant formulation) requires particular care in the R-R sector. Also the vertices for R-R potentials that can couple to D-branes need a careful handling. As an illustration of this, the example of the D0-D8 system is reviewed, where a ``microscopic'' description of the interaction via exchange of R-R potentials becomes possible. |
1002.2274 | Rosy Chooi Gim Teh | Rosy Teh, Khai-Ming Wong, and Pin-Wai Koh | Monopole Solutions of the Massive SU(2) Yang-Mills-Higgs Theory | 10, pages, 5 figures | null | 10.1142/S0217751X10050342 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Monopoles in topologically massive gauge theories in 2+1 dimensions with a
Chern-Simon mass term have been studied by Pisarski some years ago. He
investigated the SU(2) Yang-Mills-Higgs model with an additional Chern-Simon
mass term in the action. Pisarski argued that there is a monopole solution that
is regular everywhere, but found that it does not possess finite action. There
were no exact or numerical solutions being presented by Pisarski. Hence it is
our purpose to further investigate this solution in more detail. We obtained
numerical regular solutions that smoothly interpolates between the behavior at
small and large distances for different values of Chern-Simon term strength and
for several fixed values of Higgs field strength.
| [
{
"created": "Thu, 11 Feb 2010 05:15:30 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Apr 2010 08:47:29 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Teh",
"Rosy",
""
],
[
"Wong",
"Khai-Ming",
""
],
[
"Koh",
"Pin-Wai",
""
]
] | Monopoles in topologically massive gauge theories in 2+1 dimensions with a Chern-Simon mass term have been studied by Pisarski some years ago. He investigated the SU(2) Yang-Mills-Higgs model with an additional Chern-Simon mass term in the action. Pisarski argued that there is a monopole solution that is regular everywhere, but found that it does not possess finite action. There were no exact or numerical solutions being presented by Pisarski. Hence it is our purpose to further investigate this solution in more detail. We obtained numerical regular solutions that smoothly interpolates between the behavior at small and large distances for different values of Chern-Simon term strength and for several fixed values of Higgs field strength. |
1309.1180 | Pablo Diaz Benito | Pablo Diaz | Orthogonal Schurs for Classical Gauge Groups | 33 pages | null | 10.1007/JHEP10(2013)228 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Finite N physics of half-BPS operators for gauge groups SO(N) and Sp(N) has
recently been studied[1, 2]. Among other things they showed that, alike U(N),
Schur operators (but in the square of their eigenvalues) diagonalize the free
field two-point function of half-BPS operators for SO(N) and Sp(N) gauge
groups. This result was unexpected since Wick contractions behave differently.
In this paper we solve the puzzle by treating all gauge groups in a unified
framework and showing how orthogonality of Schur operators emerges naturally
from the embedding structure of classical Lie algebras g(N) -> g(M). We go
further and we state that orthogonality of Schurs is a gauge group-independent
property for classical gauge groups.
| [
{
"created": "Wed, 4 Sep 2013 20:16:47 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Diaz",
"Pablo",
""
]
] | Finite N physics of half-BPS operators for gauge groups SO(N) and Sp(N) has recently been studied[1, 2]. Among other things they showed that, alike U(N), Schur operators (but in the square of their eigenvalues) diagonalize the free field two-point function of half-BPS operators for SO(N) and Sp(N) gauge groups. This result was unexpected since Wick contractions behave differently. In this paper we solve the puzzle by treating all gauge groups in a unified framework and showing how orthogonality of Schur operators emerges naturally from the embedding structure of classical Lie algebras g(N) -> g(M). We go further and we state that orthogonality of Schurs is a gauge group-independent property for classical gauge groups. |
2201.06579 | Sanjit Shashi | Elena Caceres, Arnab Kundu, Ayan K. Patra, Sanjit Shashi | Trans-IR Flows to Black Hole Singularities | 15 pages (including appendices) + references, 10 figures; v2: typos
fixed, clarified assumptions for complementarity, matches version to appear
in PRD | null | 10.1103/PhysRevD.106.046005 | UTTG-30-2022 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study analytic continuations of holographic renormalization group (RG)
flows beyond their infrared (IR) fixed points. Such "trans-IR" flows are a
natural framework for describing physics inside of black holes. First, we
construct a monotonic holographic $a$-function which counts degrees of freedom
along a trans-IR flow. Using this function, we argue that the degrees of
freedom "thin out" and vanish when flowing to a trans-IR endpoint, represented
by a Kasner singularity. We then recast well-studied quantum information probes
in the language of trans-IR flows, finding that entanglement and complexity
from volume generally fail to fully probe the trans-IR while 2-point
correlations and complexity from action generally do so in a complementary
manner.
| [
{
"created": "Mon, 17 Jan 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2022 17:22:03 GMT",
"version": "v2"
}
] | 2022-08-23 | [
[
"Caceres",
"Elena",
""
],
[
"Kundu",
"Arnab",
""
],
[
"Patra",
"Ayan K.",
""
],
[
"Shashi",
"Sanjit",
""
]
] | We study analytic continuations of holographic renormalization group (RG) flows beyond their infrared (IR) fixed points. Such "trans-IR" flows are a natural framework for describing physics inside of black holes. First, we construct a monotonic holographic $a$-function which counts degrees of freedom along a trans-IR flow. Using this function, we argue that the degrees of freedom "thin out" and vanish when flowing to a trans-IR endpoint, represented by a Kasner singularity. We then recast well-studied quantum information probes in the language of trans-IR flows, finding that entanglement and complexity from volume generally fail to fully probe the trans-IR while 2-point correlations and complexity from action generally do so in a complementary manner. |
hep-th/9404044 | null | Willy Fischler | Gravitinos and a Low Ultimate Temperature for the Early Universe | 14 PAGES (3 figs. as separate uuencoded file) UTTG-04-94 Change in
estimate | Phys.Lett. B332 (1994) 277-282 | 10.1016/0370-2693(94)91254-8 | null | hep-th hep-ph | null | We obtain new stronger bounds by orders of magnitude, on the ultimate
temperature of the universe by exploiting the copious production of gravitinos
at finite temperature.
| [
{
"created": "Thu, 7 Apr 1994 22:29:40 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Apr 1994 19:12:39 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Apr 1994 19:32:23 GMT",
"version": "v3"
},
{
"created": "Wed, 13 Apr 1994 16:04:31 GMT",
"version": "v4"
}
] | 2009-10-28 | [
[
"Fischler",
"Willy",
""
]
] | We obtain new stronger bounds by orders of magnitude, on the ultimate temperature of the universe by exploiting the copious production of gravitinos at finite temperature. |
1906.09872 | Igor Bandos | Igor Bandos | Superstring at the boundary of open supermembrane interacting with D=4
supergravity and matter supermultiplets | 26 pages, no figures. V2: some comments and references added.
Published version | null | 10.1007/JHEP12(2019)106 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the complete supersymmetric and $\kappa$--symmetric action for the
4-dimensional interacting system of open supermembrane, dynamical supergravity
and 3--form matter multiplets. The cases of a single 3-form matter multiplet
and a quite generic model with a number of nonlinear interacting double 3-form
multiplets are considered. In all cases the fermionic parameter of the
$\kappa$-symmetry is subject to two apparently different projection conditions
which suggests that the ground state of the system, in particular a domain
junction, might preserve at most 1/4 of the spacetime supersymmetry. The
boundary term of the open supermembrane action, needed to preserve the
$\kappa$-symmetry, has the meaning of the action of a superstring. The
Wess--Zumino term of this superstring action is expressed in terms of real
linear superfield playing the role of St\"uckelberg field for the 3--form gauge
symmetry. This indicates that this symmetry is broken spontaneously by the
superstring at the boundary of supermembrane.
| [
{
"created": "Mon, 24 Jun 2019 12:08:18 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Dec 2019 18:11:03 GMT",
"version": "v2"
}
] | 2020-01-29 | [
[
"Bandos",
"Igor",
""
]
] | We present the complete supersymmetric and $\kappa$--symmetric action for the 4-dimensional interacting system of open supermembrane, dynamical supergravity and 3--form matter multiplets. The cases of a single 3-form matter multiplet and a quite generic model with a number of nonlinear interacting double 3-form multiplets are considered. In all cases the fermionic parameter of the $\kappa$-symmetry is subject to two apparently different projection conditions which suggests that the ground state of the system, in particular a domain junction, might preserve at most 1/4 of the spacetime supersymmetry. The boundary term of the open supermembrane action, needed to preserve the $\kappa$-symmetry, has the meaning of the action of a superstring. The Wess--Zumino term of this superstring action is expressed in terms of real linear superfield playing the role of St\"uckelberg field for the 3--form gauge symmetry. This indicates that this symmetry is broken spontaneously by the superstring at the boundary of supermembrane. |
1105.3606 | Itzhak Bars | Itzhak Bars, Shih-Hung Chen and Neil Turok | Geodesically Complete Analytic Solutions for a Cyclic Universe | 42 pages, 27 figures | null | 10.1103/PhysRevD.84.083513 | null | hep-th astro-ph.CO gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present analytic solutions to a class of cosmological models described by
a canonical scalar field minimally coupled to gravity and experiencing self
interactions through a hyperbolic potential. Using models and methods inspired
by 2T-physics, we show how analytic solutions can be obtained in
flat/open/closed Friedmann-Robertson-Walker universes. Among the analytic
solutions, there are many interesting geodesically complete cyclic solutions in
which the universe bounces at either zero or finite sizes. When geodesic
completeness is imposed, it restricts models and their parameters to a certain
parameter subspace, including some quantization conditions on initial
conditions in the case of zero-size bounces, but no conditions on initial
conditions for the case of finite-size bounces. We will explain the theoretical
origin of our model from the point of view of 2T-gravity as well as from the
point of view of the colliding branes scenario in the context of M-theory. We
will indicate how to associate solutions of the quantum Wheeler-deWitt equation
with our classical analytic solutions, mention some physical aspects of the
cyclic solutions, and outline future directions.
| [
{
"created": "Wed, 18 May 2011 12:35:58 GMT",
"version": "v1"
}
] | 2015-03-19 | [
[
"Bars",
"Itzhak",
""
],
[
"Chen",
"Shih-Hung",
""
],
[
"Turok",
"Neil",
""
]
] | We present analytic solutions to a class of cosmological models described by a canonical scalar field minimally coupled to gravity and experiencing self interactions through a hyperbolic potential. Using models and methods inspired by 2T-physics, we show how analytic solutions can be obtained in flat/open/closed Friedmann-Robertson-Walker universes. Among the analytic solutions, there are many interesting geodesically complete cyclic solutions in which the universe bounces at either zero or finite sizes. When geodesic completeness is imposed, it restricts models and their parameters to a certain parameter subspace, including some quantization conditions on initial conditions in the case of zero-size bounces, but no conditions on initial conditions for the case of finite-size bounces. We will explain the theoretical origin of our model from the point of view of 2T-gravity as well as from the point of view of the colliding branes scenario in the context of M-theory. We will indicate how to associate solutions of the quantum Wheeler-deWitt equation with our classical analytic solutions, mention some physical aspects of the cyclic solutions, and outline future directions. |
1307.6875 | Makoto Natsuume | Makoto Natsuume, Takashi Okamura | The enhanced holographic superconductor: is it possible? | 26 pages, 3 figures, JHEP; v2: added comment in Sec. 4.3 to the
published version (v1) | null | 10.1007/JHEP08(2013)139 | KEK-TH-1648 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that time-dependent perturbations can enhance superconductivity
and increase the critical temperature. If this phenomenon happens to high-T_c
superconductors, one could obtain room-temperature superconductors, but this is
still an open issue experimentally. Meanwhile, we would like to understand this
phenomenon from gravity dual and see if the enhancement is possible for
holographic superconductors. Previous work (arXiv:1104.4098 [hep-th]) has
studied this issue by adding a "time-dependent chemical potential," but their
analysis is questionable as a true dynamic equilibrium. In particular, the AdS
boundary does not supply energy to the bulk spacetime in their setup. A more
appropriate way to discuss the enhancement is to add a time-dependent vector
potential, i.e., a time-dependent electric field. However, the enhancement does
not occur for holographic superconductors.
| [
{
"created": "Thu, 25 Jul 2013 20:30:57 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Sep 2013 05:06:11 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Natsuume",
"Makoto",
""
],
[
"Okamura",
"Takashi",
""
]
] | It is known that time-dependent perturbations can enhance superconductivity and increase the critical temperature. If this phenomenon happens to high-T_c superconductors, one could obtain room-temperature superconductors, but this is still an open issue experimentally. Meanwhile, we would like to understand this phenomenon from gravity dual and see if the enhancement is possible for holographic superconductors. Previous work (arXiv:1104.4098 [hep-th]) has studied this issue by adding a "time-dependent chemical potential," but their analysis is questionable as a true dynamic equilibrium. In particular, the AdS boundary does not supply energy to the bulk spacetime in their setup. A more appropriate way to discuss the enhancement is to add a time-dependent vector potential, i.e., a time-dependent electric field. However, the enhancement does not occur for holographic superconductors. |
hep-th/0201023 | Nicolas Boulanger | Nicolas Boulanger, Marc Henneaux and Peter van Nieuwenhuizen | Conformal (super)gravities with several gravitons | 19+1 pages, LaTeX. Reference added | JHEP 0201 (2002) 035 | 10.1088/1126-6708/2002/01/035 | null | hep-th gr-qc | null | We construct consistent interacting gauge theories for M conformal massless
spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free
limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal
B}^{\mu \nu}$ is the linearized Bach tensor, (ii) the interactions contain no
more than four derivatives, just as the free action and (iii) the internal
metric for the Weyl gravitons is not positive definite. The interacting
theories are obtained by gauging appropriate non-semi-simple extensions of the
conformal algebra $so(4,2)$ with commutative, associative algebras of dimension
M. By writing the action in terms of squares of supercurvatures,
supersymmetrization is immediate and leads to consistent conformal
supergravities with M interacting gravitons.
| [
{
"created": "Fri, 4 Jan 2002 15:55:55 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Feb 2002 12:34:37 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Boulanger",
"Nicolas",
""
],
[
"Henneaux",
"Marc",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
]
] | We construct consistent interacting gauge theories for M conformal massless spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal B}^{\mu \nu}$ is the linearized Bach tensor, (ii) the interactions contain no more than four derivatives, just as the free action and (iii) the internal metric for the Weyl gravitons is not positive definite. The interacting theories are obtained by gauging appropriate non-semi-simple extensions of the conformal algebra $so(4,2)$ with commutative, associative algebras of dimension M. By writing the action in terms of squares of supercurvatures, supersymmetrization is immediate and leads to consistent conformal supergravities with M interacting gravitons. |
hep-th/9807025 | Wen-Fa Lu | Wen-Fa Lu | Gaussian Wavefunctional Approach in Thermofield Dynamics | the revised version of hep-th/9807025, with one equation being added,
a few sentences rewritten, and some spelling mistakes corrected. 7 page,
Revtex, no figure | J.Phys.A32:739-747,1999 | 10.1088/0305-4470/32/5/006 | null | hep-th | null | The Gaussian wavefunctional approach is developed in thermofield dynamics. We
manufacture thermal vacuum wavefunctional, its creation as well as annihilation
operators,and accordingly thermo-particle excited states. For a
(D+1)-dimensional scalar field system with an arbitrary potential whose Fourier
representation exists in a sense of tempered distributions, we calculate the
finite temperature Gaussian effective potential (FTGEP), one- and
two-thermo-particle-state energies. The zero-temperature limit of each of them
is just the corresponding result in quantum field theory, and the FTGEP can
lead to the same one of each of some concrete models as calculated by the
imaginary time Green function.
| [
{
"created": "Thu, 2 Jul 1998 20:41:18 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 1998 07:41:48 GMT",
"version": "v2"
},
{
"created": "Sun, 11 Oct 1998 17:32:29 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Lu",
"Wen-Fa",
""
]
] | The Gaussian wavefunctional approach is developed in thermofield dynamics. We manufacture thermal vacuum wavefunctional, its creation as well as annihilation operators,and accordingly thermo-particle excited states. For a (D+1)-dimensional scalar field system with an arbitrary potential whose Fourier representation exists in a sense of tempered distributions, we calculate the finite temperature Gaussian effective potential (FTGEP), one- and two-thermo-particle-state energies. The zero-temperature limit of each of them is just the corresponding result in quantum field theory, and the FTGEP can lead to the same one of each of some concrete models as calculated by the imaginary time Green function. |
hep-th/9601002 | Warren Siegel | W. Siegel | Actions for QCD-like strings | 14 pg., plain tex, other formats available at
http://insti.physics.sunysb.edu/~siegel/preprints or at
ftp://max.physics.sunysb.edu/preprints/siegel | Int.J.Mod.Phys. A13 (1998) 381-392 | 10.1142/S0217751X98000160 | ITP-SB-96-1 | hep-th | null | We introduce a random lattice corresponding to ordinary Feynman diagrams,
with 1/p-squared propagators instead of the Gaussians used in the usual
strings. The continuum limit defines a new type of string action with two
worldsheet metrics, one Minkowskian and one Euclidean. The propagators
correspond to curved lightlike paths with respect to the Minkowskian worldsheet
metric. Spacetime dimensionality of four is implied not only as the usual
critical dimension of renormalizable quantum field theory, but also from
T-duality.
| [
{
"created": "Tue, 2 Jan 1996 16:25:54 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Siegel",
"W.",
""
]
] | We introduce a random lattice corresponding to ordinary Feynman diagrams, with 1/p-squared propagators instead of the Gaussians used in the usual strings. The continuum limit defines a new type of string action with two worldsheet metrics, one Minkowskian and one Euclidean. The propagators correspond to curved lightlike paths with respect to the Minkowskian worldsheet metric. Spacetime dimensionality of four is implied not only as the usual critical dimension of renormalizable quantum field theory, but also from T-duality. |
0907.3722 | Maro Cvitan | L. Bonora, M. Cvitan, S. Pallua, I. Smoli\'c | Hawking fluxes, Fermionic currents, W(1+infinity) algebra and anomalies | null | Phys.Rev.D80:084034,2009 | 10.1103/PhysRevD.80.084034 | SISSA/38/2009/EP, ZTF-09-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We complete the analysis carried out in previous papers by studying the
Hawking radiation for a Kerr black-hole carried to infinity by fermionic
currents of any spin. We find agreement with thermal spectrum of the Hawking
radiation for fermionic degrees of freedom. We start by showing that the
near-horizon physics for a Kerr black-hole is approximated by an effective
two-dimensional field theory of fermionic fields. Then, starting from 2d
currents of any spin that form a W(1+infinity) algebra, we construct an
infinite set of covariant currents, each of which carry the corresponding
moment of the Hawking radiation. All together they agree with the thermal
spectrum of the latter. We show that the predictive power of this method is not
based on the anomalies of the higher spin currents (which are trivial), but on
the underlying W(1+infinity) structure. Our results point toward the existence
in the near-horizon geometry of a symmetry larger than the Virasoro algebra,
which very likely takes the form of a W(infinity) algebra.
| [
{
"created": "Tue, 21 Jul 2009 18:40:19 GMT",
"version": "v1"
}
] | 2009-11-05 | [
[
"Bonora",
"L.",
""
],
[
"Cvitan",
"M.",
""
],
[
"Pallua",
"S.",
""
],
[
"Smolić",
"I.",
""
]
] | We complete the analysis carried out in previous papers by studying the Hawking radiation for a Kerr black-hole carried to infinity by fermionic currents of any spin. We find agreement with thermal spectrum of the Hawking radiation for fermionic degrees of freedom. We start by showing that the near-horizon physics for a Kerr black-hole is approximated by an effective two-dimensional field theory of fermionic fields. Then, starting from 2d currents of any spin that form a W(1+infinity) algebra, we construct an infinite set of covariant currents, each of which carry the corresponding moment of the Hawking radiation. All together they agree with the thermal spectrum of the latter. We show that the predictive power of this method is not based on the anomalies of the higher spin currents (which are trivial), but on the underlying W(1+infinity) structure. Our results point toward the existence in the near-horizon geometry of a symmetry larger than the Virasoro algebra, which very likely takes the form of a W(infinity) algebra. |
1209.5408 | Guido Festuccia | Thomas T. Dumitrescu, Guido Festuccia | Exploring Curved Superspace (II) | 34 pages; reference added | JHEP 1301 (2013) 072 | 10.1007/JHEP01(2013)072 | PUPT-2425 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend our previous analysis of Riemannian four-manifolds M admitting
rigid supersymmetry to N=1 theories that do not possess a U(1)_R symmetry. With
one exception, we find that M must be a Hermitian manifold. However, the
presence of supersymmetry imposes additional restrictions. For instance, a
supercharge that squares to zero exists, if the canonical bundle of the
Hermitian manifold M admits a nowhere vanishing, holomorphic section. This
requirement can be slightly relaxed if M is a torus bundle over a Riemann
surface, in which case we obtain a supercharge that squares to a complex
Killing vector. We also analyze the conditions for the presence of more than
one supercharge. The exceptional case occurs when M is a warped product S^3 x
R, where the radius of the round S^3 is allowed to vary along R. Such manifolds
admit two supercharges that generate the superalgebra OSp(1|2). If the S^3
smoothly shrinks to zero at two points, we obtain a squashed four-sphere, which
is not a Hermitian manifold.
| [
{
"created": "Mon, 24 Sep 2012 20:16:32 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Oct 2012 14:50:58 GMT",
"version": "v2"
}
] | 2013-10-24 | [
[
"Dumitrescu",
"Thomas T.",
""
],
[
"Festuccia",
"Guido",
""
]
] | We extend our previous analysis of Riemannian four-manifolds M admitting rigid supersymmetry to N=1 theories that do not possess a U(1)_R symmetry. With one exception, we find that M must be a Hermitian manifold. However, the presence of supersymmetry imposes additional restrictions. For instance, a supercharge that squares to zero exists, if the canonical bundle of the Hermitian manifold M admits a nowhere vanishing, holomorphic section. This requirement can be slightly relaxed if M is a torus bundle over a Riemann surface, in which case we obtain a supercharge that squares to a complex Killing vector. We also analyze the conditions for the presence of more than one supercharge. The exceptional case occurs when M is a warped product S^3 x R, where the radius of the round S^3 is allowed to vary along R. Such manifolds admit two supercharges that generate the superalgebra OSp(1|2). If the S^3 smoothly shrinks to zero at two points, we obtain a squashed four-sphere, which is not a Hermitian manifold. |
hep-th/0110063 | Oleg Lebedev | S. Khalil (Durham U.), O. Lebedev and S. Morris (Sussex U.) | CP Violation and Dilaton Stabilization in Heterotic String Models | matches the PRD version | Phys.Rev. D65 (2002) 115014 | 10.1103/PhysRevD.65.115014 | SUSX-TH/01-038 | hep-th hep-ph | null | We study the possibility of spontaneous CP violation in string models with
the dilaton field stabilized at a phenomenologically acceptable value. We
consider three mechanisms to stabilize the dilaton: multiple gaugino
condensates, a nonperturbative Kahler potential, and a superpotential based on
S-duality, and analyze consequent CP phases in the soft SUSY breaking terms.
Due to non-universality forced upon the theory by requiring a non-trivial CKM
phase, the EDM problem becomes more severe. Even if there are no complex phases
in the VEVs of the SUSY breaking fields, the electric dipole moments are
overproduced by orders of magnitude. We also address the question of modular
invariance of the physical CP phases.
| [
{
"created": "Sun, 7 Oct 2001 12:25:30 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Oct 2001 12:47:04 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jan 2002 13:49:18 GMT",
"version": "v3"
},
{
"created": "Fri, 26 Apr 2002 11:39:54 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Khalil",
"S.",
"",
"Durham U."
],
[
"Lebedev",
"O.",
"",
"Sussex U."
],
[
"Morris",
"S.",
"",
"Sussex U."
]
] | We study the possibility of spontaneous CP violation in string models with the dilaton field stabilized at a phenomenologically acceptable value. We consider three mechanisms to stabilize the dilaton: multiple gaugino condensates, a nonperturbative Kahler potential, and a superpotential based on S-duality, and analyze consequent CP phases in the soft SUSY breaking terms. Due to non-universality forced upon the theory by requiring a non-trivial CKM phase, the EDM problem becomes more severe. Even if there are no complex phases in the VEVs of the SUSY breaking fields, the electric dipole moments are overproduced by orders of magnitude. We also address the question of modular invariance of the physical CP phases. |
1002.2836 | Ralph Blumenhagen | Ralph Blumenhagen | Basics of F-theory from the Type IIB Perspective | 7 pages, contribution to the proceedings of the 9th Hellenic School
on Elementary Particle Physics and Gravity, Corfu 2009 | null | 10.1002/prop.201000030 | MPP-2010-21 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These short lecture notes provide an introduction to some basic notions of
F-theory with some special emphasis on its relation to Type IIB orientifolds
with O7/O3-planes.
| [
{
"created": "Mon, 15 Feb 2010 09:16:03 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Blumenhagen",
"Ralph",
""
]
] | These short lecture notes provide an introduction to some basic notions of F-theory with some special emphasis on its relation to Type IIB orientifolds with O7/O3-planes. |
0706.0063 | Motomu Tsuda | Kazunari Shima and Motomu Tsuda | N = 2 Supersymmetric QED equivalence of N = 2 Volkov-Akulov model | 11 pages | Mod.Phys.Lett.A22:3027-3036,2007 | 10.1142/S0217732307026163 | null | hep-th | null | We show explicitly in two dimensional spacetime (d = 2) that the N = 2
Volkov-Akulov model is equivalent to the spontaneously broken linear
supersymmetry (LSUSY) interacting gauge theory for N = 2 vector and N = 2
scalar supermultiplets. The local gauge interaction of LSUSY is induced by the
specific composite structure of the auxiliary fields and the consequent
transformations.
| [
{
"created": "Fri, 1 Jun 2007 04:36:39 GMT",
"version": "v1"
}
] | 2010-11-04 | [
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] | We show explicitly in two dimensional spacetime (d = 2) that the N = 2 Volkov-Akulov model is equivalent to the spontaneously broken linear supersymmetry (LSUSY) interacting gauge theory for N = 2 vector and N = 2 scalar supermultiplets. The local gauge interaction of LSUSY is induced by the specific composite structure of the auxiliary fields and the consequent transformations. |
1001.0029 | Arkady Kholodenko L. | Arkady L.Kholodenko | Gravity assisted solution of the mass gap problem for pure Yang-Mills
fields | 66 pages, version 2, fully revised and updated | International J.of Geom.Methods in Modern Physics 8 (2011)
1355-1418 | 10.1142/S0219887811005646 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In 1979 Louis Witten demonstrated that stationary axially symmetric Einstein
field equations and those for static axially symmetric self-dual SU(2) gauge
fields can both be reduced to the same (Ernst) equation. In this paper we use
this result as point of departure to prove the existence of the mass gap for
quantum source-free Yang-Mills (Y-M) fields. The proof is facilitated by
results of our recently published paper, JGP 59 (2009) 600-619. Since both pure
gravity, the Einstein-Maxwell and pure Y-M fields are described for axially
symmetric configurations by the Ernst equation classically, their quantum
descriptions are likely to be interrelated. Correctness of this conjecture is
successfully checked by reproducing (by different methods) results of Korotkin
and Nicolai, Nucl.Phys.B475 (1996) 397-439, on dimensionally reduced quantum
gravity. Consequently, numerous new results supporting the Faddeev-Skyrme (F-S)
-type models are obtained. We found that the F-S-like model is best suited for
description of electroweak interactions while strong interactions require
extension of Witten's results to the SU(3) gauge group. Such an extension is
nontrivial. It is linked with the symmetry group SU(3)xSU(2)xU(1) of the
Standard Model. This result is quite rigid and should be taken into account in
development of all grand unified theories. Also, the alternative (to the
F-S-like) model emerges as by-product of such an extension. Both models are
related to each other via known symmetry transformation. Both models possess
gap in their excitation spectrum and are capable of producing knotted/linked
configurations of gauge/gravity fields. In addition, the paper discusses
relevance of the obtained results to heterotic strings and to scattering
processes involving topology change. It ends with discussion about usefulness
of this information for searches of Higgs boson.
| [
{
"created": "Wed, 30 Dec 2009 21:31:00 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Aug 2010 01:36:45 GMT",
"version": "v2"
}
] | 2015-05-14 | [
[
"Kholodenko",
"Arkady L.",
""
]
] | In 1979 Louis Witten demonstrated that stationary axially symmetric Einstein field equations and those for static axially symmetric self-dual SU(2) gauge fields can both be reduced to the same (Ernst) equation. In this paper we use this result as point of departure to prove the existence of the mass gap for quantum source-free Yang-Mills (Y-M) fields. The proof is facilitated by results of our recently published paper, JGP 59 (2009) 600-619. Since both pure gravity, the Einstein-Maxwell and pure Y-M fields are described for axially symmetric configurations by the Ernst equation classically, their quantum descriptions are likely to be interrelated. Correctness of this conjecture is successfully checked by reproducing (by different methods) results of Korotkin and Nicolai, Nucl.Phys.B475 (1996) 397-439, on dimensionally reduced quantum gravity. Consequently, numerous new results supporting the Faddeev-Skyrme (F-S) -type models are obtained. We found that the F-S-like model is best suited for description of electroweak interactions while strong interactions require extension of Witten's results to the SU(3) gauge group. Such an extension is nontrivial. It is linked with the symmetry group SU(3)xSU(2)xU(1) of the Standard Model. This result is quite rigid and should be taken into account in development of all grand unified theories. Also, the alternative (to the F-S-like) model emerges as by-product of such an extension. Both models are related to each other via known symmetry transformation. Both models possess gap in their excitation spectrum and are capable of producing knotted/linked configurations of gauge/gravity fields. In addition, the paper discusses relevance of the obtained results to heterotic strings and to scattering processes involving topology change. It ends with discussion about usefulness of this information for searches of Higgs boson. |
hep-th/9707186 | Bobby Acharya | B.S.Acharya | On Mirror Symmetry for Manifolds of Exceptional Holonomy | 20 Pages, Latex | Nucl.Phys. B524 (1998) 269-282 | 10.1016/S0550-3213(98)00140-0 | QMW-PH-97-22 | hep-th | null | We consider Type II string theories on ${\bf T^n}/{{\bf Z_2}^m}$ Joyce
orbifolds. This class contains orbifolds which can be desingularised to give
manifolds of $G_2$ $({\bf n}$$=$$7)$ and $Spin(7)$ holonomy $({\bf n}$$=$$8)$.
In the $G_2$ holonomy case we present two types of $T$-duality transformation
which are clearly generalisations of the $T$-duality/mirror transformation in
Calabi-Yau spaces. The first maps Type IIA theory on one such space from this
class to Type IIB theory on another such space. The second maps Type IIA (IIB)
to Type IIA (IIB). In the case of $Spin(7)$ holonomy we present a $T$-duality
transformation which maps Type IIA (IIB) theory on one such space to Type IIA
(IIB) on another such space. As orbifold conformal field theories these
$T$-dual target spaces are related via the inclusion/exclusion of discrete
torsion and the $T$-duality is proven to genus $g$ in string perturbation
theory. We then apply a Strominger, Yau, Zaslow type argument which suggests
that manifolds of $G_2$ holonomy which have a ``mirror'' of the first (second)
type admit supersymmetric ${\bf T^3}$ (${\bf T^4}$) fibrations and that
manifolds of $Spin(7)$ holonomy for which a mirror exists admit fibration by
supersymmetric $4$-tori. Further evidence for this suggestion is given by
examining the moduli space structure of wrapped D-branes.
| [
{
"created": "Tue, 22 Jul 1997 16:57:06 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Acharya",
"B. S.",
""
]
] | We consider Type II string theories on ${\bf T^n}/{{\bf Z_2}^m}$ Joyce orbifolds. This class contains orbifolds which can be desingularised to give manifolds of $G_2$ $({\bf n}$$=$$7)$ and $Spin(7)$ holonomy $({\bf n}$$=$$8)$. In the $G_2$ holonomy case we present two types of $T$-duality transformation which are clearly generalisations of the $T$-duality/mirror transformation in Calabi-Yau spaces. The first maps Type IIA theory on one such space from this class to Type IIB theory on another such space. The second maps Type IIA (IIB) to Type IIA (IIB). In the case of $Spin(7)$ holonomy we present a $T$-duality transformation which maps Type IIA (IIB) theory on one such space to Type IIA (IIB) on another such space. As orbifold conformal field theories these $T$-dual target spaces are related via the inclusion/exclusion of discrete torsion and the $T$-duality is proven to genus $g$ in string perturbation theory. We then apply a Strominger, Yau, Zaslow type argument which suggests that manifolds of $G_2$ holonomy which have a ``mirror'' of the first (second) type admit supersymmetric ${\bf T^3}$ (${\bf T^4}$) fibrations and that manifolds of $Spin(7)$ holonomy for which a mirror exists admit fibration by supersymmetric $4$-tori. Further evidence for this suggestion is given by examining the moduli space structure of wrapped D-branes. |
hep-th/0004075 | Tamiaki Yoneya | Tamiaki Yoneya | String Theory : Where are we now? | 19 pages, 1 figure, written version of a general talk in the workshop
"Frontier of Theoretical Physics", Beijing, Nov, 1999, minor typos corrected | null | 10.1142/9789812810380_0007 | UT-Komaba/00-08 | hep-th | null | This is a brief overview on the current status of string theory for
non-specialists. The purpose is to give an aspect on the nature of string
theory as a unified theory of all interactions including quantum gravity and to
discuss future perspectives. Particular emphases are put on the mysteries why
string theory contains gravity and why it resolves the ultraviolet problems.
| [
{
"created": "Tue, 11 Apr 2000 15:49:14 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Apr 2000 13:05:51 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Yoneya",
"Tamiaki",
""
]
] | This is a brief overview on the current status of string theory for non-specialists. The purpose is to give an aspect on the nature of string theory as a unified theory of all interactions including quantum gravity and to discuss future perspectives. Particular emphases are put on the mysteries why string theory contains gravity and why it resolves the ultraviolet problems. |
1406.7273 | Burkhard U.W. Schwab | Miguel F. Paulos, Burkhard U. W. Schwab | Cluster Algebras and the Positive Grassmannian | 23 pages, 17 figures | null | 10.1007/JHEP10(2014)031 | null | hep-th math-ph math.CO math.MP math.RA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Plabic graphs are intimately connected to the positroid stratification of the
positive Grassmannian. The duals to these graphs are quivers, and it is
possible to associate to them cluster algebras. For the top-cell graph of
$Gr_{+}(k,n)$, this cluster algebra is the homogeneous coordinate ring of the
corresponding positroid variety. We prove that the same statement holds for
plabic graphs describing lower dimensional cells. In this way we obtain a map
from the positroid strata onto cluster subalgebras of $Gr_{+}(k,n)$. We explore
some of the consequences of this map for tree-level scattering amplitudes in
$\mathcal N=4$ super Yang-Mills theory.
| [
{
"created": "Fri, 27 Jun 2014 19:12:49 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Paulos",
"Miguel F.",
""
],
[
"Schwab",
"Burkhard U. W.",
""
]
] | Plabic graphs are intimately connected to the positroid stratification of the positive Grassmannian. The duals to these graphs are quivers, and it is possible to associate to them cluster algebras. For the top-cell graph of $Gr_{+}(k,n)$, this cluster algebra is the homogeneous coordinate ring of the corresponding positroid variety. We prove that the same statement holds for plabic graphs describing lower dimensional cells. In this way we obtain a map from the positroid strata onto cluster subalgebras of $Gr_{+}(k,n)$. We explore some of the consequences of this map for tree-level scattering amplitudes in $\mathcal N=4$ super Yang-Mills theory. |
2202.05133 | Henryk Arod\'z | H. Arodz | Axial momentum and quantization of the Majorana field | 26 pages. Misprints removed, journal ref. added | Acta Phys. Polon. B 53, 2-A4 (2022) | 10.5506/APhysPolB.53.2-A4 | null | hep-th hep-ph quant-ph | http://creativecommons.org/licenses/by/4.0/ | New approach to quantization of the relativistic Majorana field is presented.
It is based on expansion of the field into eigenfunctions of the axial momentum
-- a novel observable introduced recently. Relativistic invariance is used as
the main guiding principle instead of canonical formalism. Hidden structure of
the quantized Majorana field in the form of real Clifford algebra of Hermitian
fermionic operators is unveiled. Generators of the Poincar\'e transformations
in the Fock space are found as solutions of certain operator equations, without
invoking the principle of correspondence with classical conserved quantities.
Also operators of parity $\hat{\mbox{P}}$ and time reversal $\hat{\mbox{T}}$
are constructed.
| [
{
"created": "Thu, 10 Feb 2022 16:38:38 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Mar 2022 12:19:57 GMT",
"version": "v2"
}
] | 2022-03-09 | [
[
"Arodz",
"H.",
""
]
] | New approach to quantization of the relativistic Majorana field is presented. It is based on expansion of the field into eigenfunctions of the axial momentum -- a novel observable introduced recently. Relativistic invariance is used as the main guiding principle instead of canonical formalism. Hidden structure of the quantized Majorana field in the form of real Clifford algebra of Hermitian fermionic operators is unveiled. Generators of the Poincar\'e transformations in the Fock space are found as solutions of certain operator equations, without invoking the principle of correspondence with classical conserved quantities. Also operators of parity $\hat{\mbox{P}}$ and time reversal $\hat{\mbox{T}}$ are constructed. |
2003.05811 | Fedor Levkovich-Maslyuk | Fedor Levkovich-Maslyuk, Michelangelo Preti | Exploring the ground state spectrum of gamma-deformed N=4 SYM | 25 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the gamma-deformation of the planar N=4 super Yang-Mills theory
which breaks all supersymmetries but is expected to preserve integrability of
the model. We focus on the operator Tr$(\phi_1\phi_1)$ built from two scalars,
whose integrability description has been questioned before due to contributions
from double-trace counterterms. We show that despite these subtle effects, the
integrability-based Quantum Spectral Curve (QSC) framework works perfectly for
this state and in particular reproduces the known 1-loop prediction. This
resolves an earlier controversy concerning this operator and provides further
evidence that the gamma-deformed model is an integrable CFT at least in the
planar limit. We use the QSC to compute the first 5 weak coupling orders of the
anomalous dimension analytically, matching known results in the fishnet limit,
and also compute it numerically all the way from weak to strong coupling. We
also utilize this data to extract a new coefficient of the beta function of the
double-trace operator couplings.
| [
{
"created": "Thu, 12 Mar 2020 14:06:51 GMT",
"version": "v1"
}
] | 2020-03-13 | [
[
"Levkovich-Maslyuk",
"Fedor",
""
],
[
"Preti",
"Michelangelo",
""
]
] | We study the gamma-deformation of the planar N=4 super Yang-Mills theory which breaks all supersymmetries but is expected to preserve integrability of the model. We focus on the operator Tr$(\phi_1\phi_1)$ built from two scalars, whose integrability description has been questioned before due to contributions from double-trace counterterms. We show that despite these subtle effects, the integrability-based Quantum Spectral Curve (QSC) framework works perfectly for this state and in particular reproduces the known 1-loop prediction. This resolves an earlier controversy concerning this operator and provides further evidence that the gamma-deformed model is an integrable CFT at least in the planar limit. We use the QSC to compute the first 5 weak coupling orders of the anomalous dimension analytically, matching known results in the fishnet limit, and also compute it numerically all the way from weak to strong coupling. We also utilize this data to extract a new coefficient of the beta function of the double-trace operator couplings. |
2010.07108 | Hossein Ghaffarnejad | Hossein Ghaffarnejad, Emad Yaraie and Mohammad Farsam | Quantum State Dependence of Thermodynamic Phase Transition in 4D AdS
Gauss-Bonnet Quantum Black Holes Surrounded With Cloud of Strings | 38 pages, 8 figures and minor revisions | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to the Lovelock theorem where the model \cite{Glav} could not
applicable for Einstein Gauss Bonnet (EGB) gravity in all 4D curved spacetimes,
authors of the reference \cite{ali} presented an effective model by applying
break of diffeomorphism property. Hence we use the latter model instead of
former for study of thermodynamic behavior of a 4D AdS EGB spherically
symmetric static black hole which surrounded with a cloud of string. In short
our work is extension of the works given by \cite{Veer,Heg} but not by using
\cite{Glav} but by applying \cite{ali}. Our metric solutions are obtained
versus the Hermite polynomials (quantum harmonic Oscillator) for which eigen
values come from single scale defined by multiplication of the coupling
constants of the model: Namely the regularized GB parameter, AdS radius, the
black hole ADM mass and the string tension. Hence we claim the obtained metric
solution is in fact behavior of quantized black hole. Because the GB term is
originated from renormalization of quantum matter fields. Also we should
pointed that this kind of quantization is different with the canonical
quantization (Wheeler De Witt). Our study shows that all phase transitions of
this quantum black hole are dependent to the Hermite quantum numbers.
| [
{
"created": "Wed, 7 Oct 2020 21:02:54 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jan 2021 15:27:05 GMT",
"version": "v2"
},
{
"created": "Sun, 24 Jan 2021 00:20:57 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Feb 2021 20:15:15 GMT",
"version": "v4"
},
{
"created": "Sun, 7 Mar 2021 19:01:23 GMT",
"version": "v5"
}
] | 2021-03-09 | [
[
"Ghaffarnejad",
"Hossein",
""
],
[
"Yaraie",
"Emad",
""
],
[
"Farsam",
"Mohammad",
""
]
] | According to the Lovelock theorem where the model \cite{Glav} could not applicable for Einstein Gauss Bonnet (EGB) gravity in all 4D curved spacetimes, authors of the reference \cite{ali} presented an effective model by applying break of diffeomorphism property. Hence we use the latter model instead of former for study of thermodynamic behavior of a 4D AdS EGB spherically symmetric static black hole which surrounded with a cloud of string. In short our work is extension of the works given by \cite{Veer,Heg} but not by using \cite{Glav} but by applying \cite{ali}. Our metric solutions are obtained versus the Hermite polynomials (quantum harmonic Oscillator) for which eigen values come from single scale defined by multiplication of the coupling constants of the model: Namely the regularized GB parameter, AdS radius, the black hole ADM mass and the string tension. Hence we claim the obtained metric solution is in fact behavior of quantized black hole. Because the GB term is originated from renormalization of quantum matter fields. Also we should pointed that this kind of quantization is different with the canonical quantization (Wheeler De Witt). Our study shows that all phase transitions of this quantum black hole are dependent to the Hermite quantum numbers. |
1305.3557 | Enrico Pajer | Enrico Pajer and Marco Peloso | A review of Axion Inflation in the era of Planck | 24 pages, 3 figures. Invited review to appear in Class. Quantum Grav | null | 10.1088/0264-9381/30/21/214002 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Because the inflationary mechanism is extremely sensitive to UV-physics, the
construction of theoretically robust models of inflation provides a unique
window on Planck-scale physics. We review efforts to use an axion with a shift
symmetry to ensure a prolonged slow-roll background evolution. The symmetry
dictates which operators are allowed, and these in turn determine the
observational predictions of this class of models, which include observable
gravitational waves (potentially chiral), oscillations in all primordial
correlators, specific deviations from scale invariance and Gaussianity and
primordial black holes. We discuss the constraints on this class of models in
light of the recent Planck results and comment on future perspectives. The
shift symmetry is very useful in models of large-field inflation, which
typically have monomial potentials, but it cannot explain why two or more terms
in the potential are fine-tuned against each other, as needed for typical
models of small-field inflation. Therefore some additional symmetries or
fine-tuning will be needed if forthcoming experiments will constrain the
tensor-to-scalar ratio to be r < 0.01.
| [
{
"created": "Wed, 15 May 2013 17:30:32 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Pajer",
"Enrico",
""
],
[
"Peloso",
"Marco",
""
]
] | Because the inflationary mechanism is extremely sensitive to UV-physics, the construction of theoretically robust models of inflation provides a unique window on Planck-scale physics. We review efforts to use an axion with a shift symmetry to ensure a prolonged slow-roll background evolution. The symmetry dictates which operators are allowed, and these in turn determine the observational predictions of this class of models, which include observable gravitational waves (potentially chiral), oscillations in all primordial correlators, specific deviations from scale invariance and Gaussianity and primordial black holes. We discuss the constraints on this class of models in light of the recent Planck results and comment on future perspectives. The shift symmetry is very useful in models of large-field inflation, which typically have monomial potentials, but it cannot explain why two or more terms in the potential are fine-tuned against each other, as needed for typical models of small-field inflation. Therefore some additional symmetries or fine-tuning will be needed if forthcoming experiments will constrain the tensor-to-scalar ratio to be r < 0.01. |
hep-th/9811046 | Marcelo De Francia | M. De Francia, H. Falomir and M. Loewe | Finite density and temperature in hybrid bag models | 19 pages, 4 figures | Phys.Rev.C60:055203,1999 | 10.1103/PhysRevC.60.055203 | LA PLATA-TH 98/18 | hep-th | null | We introduce the chemical potential in a system of two-flavored massless
fermions in a chiral bag by imposing boundary conditions in the Euclidean time
direction. We express the fermionic mean number in terms of a functional trace
involving the Green function of the boundary value problem, which is studied
analytically. Numerical evaluations for the fermionic number are presented.
| [
{
"created": "Wed, 4 Nov 1998 18:56:55 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"De Francia",
"M.",
""
],
[
"Falomir",
"H.",
""
],
[
"Loewe",
"M.",
""
]
] | We introduce the chemical potential in a system of two-flavored massless fermions in a chiral bag by imposing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving the Green function of the boundary value problem, which is studied analytically. Numerical evaluations for the fermionic number are presented. |
1707.08108 | Michelangelo Preti | Michelangelo Preti | WiLE: a Mathematica package for weak coupling expansion of Wilson loops
in ABJ(M) theory | 35 pages, 4 figures and 1 table, comments added. To appear in Comput.
Phys. Commun | null | 10.1016/j.cpc.2017.12.011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present WiLE, a Mathematica package designed to perform the weak coupling
expansion of any Wilson loop in ABJ(M) theory at arbitrary perturbative order.
For a given set of fields on the loop and internal vertices, the package
displays all the possible Feynman diagrams and their integral representations.
The user can also choose to exclude non planar diagrams, tadpoles and
self-energies. Through the use of interactive input windows, the package should
be easily accessible to users with little or no previous experience. The
package manual provides some pedagogical examples and the computation of all
ladder diagrams at three-loop relevant for the cusp anomalous dimension in
ABJ(M). The latter application gives also support to some recent results
computed in different contexts.
| [
{
"created": "Tue, 25 Jul 2017 17:58:06 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2017 15:19:05 GMT",
"version": "v2"
}
] | 2018-04-04 | [
[
"Preti",
"Michelangelo",
""
]
] | We present WiLE, a Mathematica package designed to perform the weak coupling expansion of any Wilson loop in ABJ(M) theory at arbitrary perturbative order. For a given set of fields on the loop and internal vertices, the package displays all the possible Feynman diagrams and their integral representations. The user can also choose to exclude non planar diagrams, tadpoles and self-energies. Through the use of interactive input windows, the package should be easily accessible to users with little or no previous experience. The package manual provides some pedagogical examples and the computation of all ladder diagrams at three-loop relevant for the cusp anomalous dimension in ABJ(M). The latter application gives also support to some recent results computed in different contexts. |
hep-th/9712237 | Suga Takayuki | Takayuki Suga, Riuji Mochizuki and Kenji Ikegami | Back Reaction to Rotating Detector | 17 pages, 1 figure | null | null | CHIBA-EP-102 | hep-th | null | It has been a puzzle that rotating detector may respond even in the
appropriate vacuum defined via canonical quantization. We solve this puzzle by
taking back reaction of the detector into account. The influence of the back
reaction, even in the detector's mass infinite limit, appears in the response
function. It makes the detector possible to respond in the vacuum if the
detector is rotating, though the detector in linear uniform motion never
respond in the vacuum as expected from Poincare invariance.
| [
{
"created": "Fri, 26 Dec 1997 23:15:26 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jan 1998 09:55:44 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Feb 1998 18:00:26 GMT",
"version": "v3"
},
{
"created": "Thu, 30 Jul 1998 07:22:36 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Suga",
"Takayuki",
""
],
[
"Mochizuki",
"Riuji",
""
],
[
"Ikegami",
"Kenji",
""
]
] | It has been a puzzle that rotating detector may respond even in the appropriate vacuum defined via canonical quantization. We solve this puzzle by taking back reaction of the detector into account. The influence of the back reaction, even in the detector's mass infinite limit, appears in the response function. It makes the detector possible to respond in the vacuum if the detector is rotating, though the detector in linear uniform motion never respond in the vacuum as expected from Poincare invariance. |
1711.04656 | Bert Schellekens | A.N. Schellekens | Symmetry breaking by bi-fundamentals | 43 pages, 2 figures. Misprints corrected; two summary sections added
for quick access to main results | Phys. Rev. D 97, 056007 (2018) | 10.1103/PhysRevD.97.056007 | NIKHEF/2017-61, IFF-FM-2017/07 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive all possible symmetry breaking patterns for all possible Higgs
fields that can occur in intersecting brane models: bi-fundamentals and rank-2
tensors. This is a field-theoretic problem that was already partially solved in
1973 by Ling-Fong Li. In that paper the solution was given for rank-2 tensors
of orthogonal and unitary group, and U(N x U(M) and O(N) x O(M)
bi-fundamentals. We extend this first of al to symplectic groups. When
formulated correctly, this turns out to be straightforward generalization of
the previous results from real and complex numbers to quaternions. The
extension to mixed bi-fundamentals is more challenging and interesting. The
scalar potential has up to six real parameters. Its minima or saddle points are
described by block-diagonal matrices built out of K blocks of size p x q. Here
p=q=1 for the solutions of Ling-Fong Li, and the number of possibilities for p
x q is equal to the number of real parameters in the potential, minus 1. The
maximum block size is p x q=2 x 4. Different blocks cannot be combined, and the
true minimum occurs for one choice of basic block, and for either K=1 or K
maximal, depending on the parameter values.
| [
{
"created": "Mon, 13 Nov 2017 15:50:29 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Feb 2018 13:56:58 GMT",
"version": "v2"
}
] | 2018-03-21 | [
[
"Schellekens",
"A. N.",
""
]
] | We derive all possible symmetry breaking patterns for all possible Higgs fields that can occur in intersecting brane models: bi-fundamentals and rank-2 tensors. This is a field-theoretic problem that was already partially solved in 1973 by Ling-Fong Li. In that paper the solution was given for rank-2 tensors of orthogonal and unitary group, and U(N x U(M) and O(N) x O(M) bi-fundamentals. We extend this first of al to symplectic groups. When formulated correctly, this turns out to be straightforward generalization of the previous results from real and complex numbers to quaternions. The extension to mixed bi-fundamentals is more challenging and interesting. The scalar potential has up to six real parameters. Its minima or saddle points are described by block-diagonal matrices built out of K blocks of size p x q. Here p=q=1 for the solutions of Ling-Fong Li, and the number of possibilities for p x q is equal to the number of real parameters in the potential, minus 1. The maximum block size is p x q=2 x 4. Different blocks cannot be combined, and the true minimum occurs for one choice of basic block, and for either K=1 or K maximal, depending on the parameter values. |
0707.3515 | A Khodam-Mohammadi | A. Khodam-Mohammadi | Charged Rotating Black Branes in Various Dimensions | PhD thesis, 130 pages and 23 figures. arXiv admin note: substantial
text overlap with arXiv:gr-qc/9610038 by other authors | null | null | null | hep-th | null | In this thesis, two different aspects of asymptotically charged rotating
black branes in various dimensions are studied. In the first part, the
thermodynamics of these spacetimes is investigated, while in the second part
the no hair theorem for these spacetimes in four dimensions is considered. In
part I, first, the Euclidean actions of a d-dimensional charged rotating black
brane are computed through the use of the counterterms renormalization method
both in the canonical and the grand-canonical ensemble, and it is shown that
the logarithmic divergencies associated to the Weyl anomalies and matter field
vanish. Second, a Smarr-type formula for the mass as a function of the entropy,
the angular momenta and the electric charge is obtained, which shows that these
quantities satisfy the first law of thermodynamics. Third, by using the
conserved quantities and the Euclidean actions, the thermodynamics potentials
of the system in terms of the temperature, the angular velocities and the
electric potential are obtained both in the canonical and the grand-canonical
ensemble. Fourth, a stability analysis in these two ensembles is performed,
which shows that the system is thermally stable. This is in commensurable with
the fact that there is no Hawking-Page phase transition for black object with
zero curvature horizon. Finally, the logarithmic correction of the entropy due
to the thermal fluctuation around the equilibrium is calculated. In part II,
the cosmological defects are studied, and it is shown that the Abelian Higgs
field equations in the background of a four-dimensional rotating charged black
string have vortex solutions.
| [
{
"created": "Tue, 24 Jul 2007 09:57:06 GMT",
"version": "v1"
}
] | 2014-08-02 | [
[
"Khodam-Mohammadi",
"A.",
""
]
] | In this thesis, two different aspects of asymptotically charged rotating black branes in various dimensions are studied. In the first part, the thermodynamics of these spacetimes is investigated, while in the second part the no hair theorem for these spacetimes in four dimensions is considered. In part I, first, the Euclidean actions of a d-dimensional charged rotating black brane are computed through the use of the counterterms renormalization method both in the canonical and the grand-canonical ensemble, and it is shown that the logarithmic divergencies associated to the Weyl anomalies and matter field vanish. Second, a Smarr-type formula for the mass as a function of the entropy, the angular momenta and the electric charge is obtained, which shows that these quantities satisfy the first law of thermodynamics. Third, by using the conserved quantities and the Euclidean actions, the thermodynamics potentials of the system in terms of the temperature, the angular velocities and the electric potential are obtained both in the canonical and the grand-canonical ensemble. Fourth, a stability analysis in these two ensembles is performed, which shows that the system is thermally stable. This is in commensurable with the fact that there is no Hawking-Page phase transition for black object with zero curvature horizon. Finally, the logarithmic correction of the entropy due to the thermal fluctuation around the equilibrium is calculated. In part II, the cosmological defects are studied, and it is shown that the Abelian Higgs field equations in the background of a four-dimensional rotating charged black string have vortex solutions. |
1411.5384 | Steven Gubser | Charles Cosnier-Horeau and Steven S. Gubser | Holographic Fermi surfaces at finite temperature in top-down
constructions | 20 pages, 3 figures | Phys. Rev. D 91, 066002 (2015) | 10.1103/PhysRevD.91.066002 | PUPT-2475 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the two-point Green's functions of operators dual to fermions of
maximal gauged supergravity in four and five dimensions, in finite temperature
backgrounds with finite charge density. The numerical method used in these
calculations is based on differential equations for bilinears of the
supergravity fermions rather than the equations of motion for the fermions
themselves. The backgrounds we study have vanishing entropy density in
appropriate extremal limits. Holographic Fermi surfaces are observed when the
scalar field participating in the dual field theory operator has an expectation
value, which makes sense from the point of view that the quasi-particles near
the Fermi surfaces observed carry non-singlet gauge quantum numbers in the dual
field theory.
| [
{
"created": "Wed, 19 Nov 2014 21:12:54 GMT",
"version": "v1"
}
] | 2015-03-11 | [
[
"Cosnier-Horeau",
"Charles",
""
],
[
"Gubser",
"Steven S.",
""
]
] | We calculate the two-point Green's functions of operators dual to fermions of maximal gauged supergravity in four and five dimensions, in finite temperature backgrounds with finite charge density. The numerical method used in these calculations is based on differential equations for bilinears of the supergravity fermions rather than the equations of motion for the fermions themselves. The backgrounds we study have vanishing entropy density in appropriate extremal limits. Holographic Fermi surfaces are observed when the scalar field participating in the dual field theory operator has an expectation value, which makes sense from the point of view that the quasi-particles near the Fermi surfaces observed carry non-singlet gauge quantum numbers in the dual field theory. |
hep-th/0408155 | Andrew K. Waldron | S. Deser and A.Waldron | Conformal Invariance of Partially Massless Higher Spins | 10 pages Latex | PHys.Lett.B603:30,2004 | 10.1016/j.physletb.2004.10.007 | BRX-TH 548 | hep-th | null | We show that there exist conformally invariant theories for all spins in d=4
de Sitter space, namely the partially massless models with higher derivative
gauge invariance under a scalar gauge parameter. This extends the catalog from
the two known gauge models -- Maxwell and partially massless spin 2 -- to all
spins.
| [
{
"created": "Thu, 19 Aug 2004 20:32:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Deser",
"S.",
""
],
[
"Waldron",
"A.",
""
]
] | We show that there exist conformally invariant theories for all spins in d=4 de Sitter space, namely the partially massless models with higher derivative gauge invariance under a scalar gauge parameter. This extends the catalog from the two known gauge models -- Maxwell and partially massless spin 2 -- to all spins. |
hep-th/0301250 | Jaume Gomis | Jaume Gomis, Sanefumi Moriyama and Jongwon Park (Caltech) | SYM Description of PP-wave String Interactions: Singlet Sector and
Arbitrary Impurities | 51 pages, 8 figures. Some clarifications added, minor typos corrected | Nucl.Phys. B665 (2003) 49-93 | 10.1016/S0550-3213(03)00387-0 | null | hep-th | null | We study string interactions among string states with arbitrary impurities in
the Type IIB plane wave background using string field theory. We reproduce all
string amplitudes from gauge theory by computing matrix elements of the
dilatation operator in a previously proposed basis of states. A direct
correspondence is found between the string field theory and gauge theory
Feynman diagrams.
| [
{
"created": "Thu, 30 Jan 2003 20:45:08 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2003 19:26:12 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Gomis",
"Jaume",
"",
"Caltech"
],
[
"Moriyama",
"Sanefumi",
"",
"Caltech"
],
[
"Park",
"Jongwon",
"",
"Caltech"
]
] | We study string interactions among string states with arbitrary impurities in the Type IIB plane wave background using string field theory. We reproduce all string amplitudes from gauge theory by computing matrix elements of the dilatation operator in a previously proposed basis of states. A direct correspondence is found between the string field theory and gauge theory Feynman diagrams. |
1903.06990 | Feodor A. Smirnov | Zoltan Bajnok and Fedor Smirnov | Diagonal finite volume matrix elements in the sinh-Gordon model | 19 pages, 1 figure | null | 10.1016/j.nuclphysb.2019.114664 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the fermionic basis we conjecture exact expressions for diagonal finite
volume matrix elements of exponential operators and their descendants in the
sinh-Gordon theory. Our expressions sum up the LeClair-Mussardo type infinite
series generalized by Pozsgay for excited state expectation values. We checked
our formulae against the Liouville three-point functions for small, while
against Pozsgay's expansion for large volumes and found complete agreement.
| [
{
"created": "Sat, 16 Mar 2019 21:35:52 GMT",
"version": "v1"
}
] | 2019-07-24 | [
[
"Bajnok",
"Zoltan",
""
],
[
"Smirnov",
"Fedor",
""
]
] | Using the fermionic basis we conjecture exact expressions for diagonal finite volume matrix elements of exponential operators and their descendants in the sinh-Gordon theory. Our expressions sum up the LeClair-Mussardo type infinite series generalized by Pozsgay for excited state expectation values. We checked our formulae against the Liouville three-point functions for small, while against Pozsgay's expansion for large volumes and found complete agreement. |
2401.08877 | Yorgo Pano | Yorgo Pano, Majdouline Borji | Distributional Celestial Amplitudes | 27 pages, 1 figure | null | null | CPHT-RR078.122023 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scattering amplitudes are tempered distributions, which are defined through
their action on functions in the Schwartz space $S(\mathbb{R})$ by duality. For
massless particles, their conformal properties become manifest when considering
their Mellin transform. Therefore we need to mathematically well-define the
Mellin transform of distributions in the dual space $S'(\mathbb{R}^+)$. In this
paper, we investigate this problem by characterizing the Mellin transform of
the Schwartz space $S(\mathbb{R}^+)$. This allows us to rigorously define the
Mellin transform of tempered distributions through a Parseval-type relation.
Massless celestial amplitudes are then properly defined by taking the Mellin
transform of elements in the topological dual of the Schwartz space
$S(\mathbb{R}^+)$. We conclude the paper with applications to tree-level
graviton celestial amplitudes.
| [
{
"created": "Tue, 16 Jan 2024 23:24:23 GMT",
"version": "v1"
}
] | 2024-01-18 | [
[
"Pano",
"Yorgo",
""
],
[
"Borji",
"Majdouline",
""
]
] | Scattering amplitudes are tempered distributions, which are defined through their action on functions in the Schwartz space $S(\mathbb{R})$ by duality. For massless particles, their conformal properties become manifest when considering their Mellin transform. Therefore we need to mathematically well-define the Mellin transform of distributions in the dual space $S'(\mathbb{R}^+)$. In this paper, we investigate this problem by characterizing the Mellin transform of the Schwartz space $S(\mathbb{R}^+)$. This allows us to rigorously define the Mellin transform of tempered distributions through a Parseval-type relation. Massless celestial amplitudes are then properly defined by taking the Mellin transform of elements in the topological dual of the Schwartz space $S(\mathbb{R}^+)$. We conclude the paper with applications to tree-level graviton celestial amplitudes. |
hep-th/9903149 | Olaf Lechtenfeld | Anton Galajinsky, Olaf Lechtenfeld | Towards a stringy extension of self-dual super Yang-Mills | 9 pages, version to be published in PLB | Phys.Lett. B460 (1999) 288-294 | 10.1016/S0370-2693(99)00754-6 | ITP-UH-07/99 | hep-th | null | Motivated by the search for a space-time supersymmetric extension of the N=2
string, we construct a particle model which, upon quantization, describes
(abelian) self-dual super Yang-Mills in 2+2 dimensions. The local symmetries of
the theory are shown to involve both world-line supersymmetry and kappa
symmetry.
| [
{
"created": "Wed, 17 Mar 1999 13:48:02 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jun 1999 09:34:21 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Galajinsky",
"Anton",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] | Motivated by the search for a space-time supersymmetric extension of the N=2 string, we construct a particle model which, upon quantization, describes (abelian) self-dual super Yang-Mills in 2+2 dimensions. The local symmetries of the theory are shown to involve both world-line supersymmetry and kappa symmetry. |
0812.2996 | Sun ChengYi | Cheng-Yi Sun | Dark Energy Accretion onto a Black Hole in an Expanding Universe | 7 pages, no figures, errors is corrected | Commun. Theor. Phys. 52: 441-444, 2009 | 10.1088/0253-6102/52/3/12 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By using the solution describing a black hole embedded in the FLRW universe,
we obtain the evolving equation of the black hole mass expressed in terms of
the cosmological parameters. The evolving equation indicates that in the
phantom dark energy universe the black hole mass becomes zero before the Big
Rip is reached.
| [
{
"created": "Tue, 16 Dec 2008 08:15:43 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 2009 07:40:47 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Mar 2009 07:13:24 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Sun",
"Cheng-Yi",
""
]
] | By using the solution describing a black hole embedded in the FLRW universe, we obtain the evolving equation of the black hole mass expressed in terms of the cosmological parameters. The evolving equation indicates that in the phantom dark energy universe the black hole mass becomes zero before the Big Rip is reached. |
2111.12089 | Javier Magan | Valentin Benedetti, Horacio Casini and Javier M. Magan | Generalized Symmetries of the Graviton | 28 pages + Appendices | null | 10.1007/JHEP05(2022)045 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the set of generalized symmetries associated with the free graviton
theory in four dimensions. These are generated by gauge invariant topological
operators that violate Haag duality in ring-like regions. As expected from
general QFT grounds, we find a set of "electric" and a dual set of "magnetic'"
topological operators and compute their algebra. To do so, we describe the
theory using phase space gauge-invariant electric and magnetic dual variables
constructed out of the curvature tensor. Electric and magnetic fields satisfy a
set of constraints equivalent to the ones of a stress tensor of a $3d$ CFT. The
constraints give place to a group $\mathbb{R}^{20}$ of topological operators
that are charged under space-time symmetries. Finally, we discuss similarities
and differences between linearized gravity and tensor gauge theories that have
been introduced recently in the context of fractonic systems in condensed
matter physics.
| [
{
"created": "Tue, 23 Nov 2021 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 2022 14:29:11 GMT",
"version": "v2"
}
] | 2022-05-25 | [
[
"Benedetti",
"Valentin",
""
],
[
"Casini",
"Horacio",
""
],
[
"Magan",
"Javier M.",
""
]
] | We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from general QFT grounds, we find a set of "electric" and a dual set of "magnetic'" topological operators and compute their algebra. To do so, we describe the theory using phase space gauge-invariant electric and magnetic dual variables constructed out of the curvature tensor. Electric and magnetic fields satisfy a set of constraints equivalent to the ones of a stress tensor of a $3d$ CFT. The constraints give place to a group $\mathbb{R}^{20}$ of topological operators that are charged under space-time symmetries. Finally, we discuss similarities and differences between linearized gravity and tensor gauge theories that have been introduced recently in the context of fractonic systems in condensed matter physics. |
hep-th/0507288 | Motomu Tsuda | Kazunari Shima and Motomu Tsuda | On supersymmetry algebra based on a spinor-vector generator | 10 pages, Latex, some typos corrected and some more discussions added | Phys.Lett. B628 (2005) 171-175 | 10.1016/j.physletb.2005.09.021 | SIT-LP-05/07 | hep-th | null | We study the unitary representation of supersymmetry (SUSY) algebra based on
a spinor-vector generator for both massless and massive cases. A systematic
linearization of nonlinear realization for the SUSY algebra is also discussed
in the superspace formalism with a spinor-vector Grassmann coordinate.
| [
{
"created": "Fri, 29 Jul 2005 03:25:38 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2005 04:36:38 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] | We study the unitary representation of supersymmetry (SUSY) algebra based on a spinor-vector generator for both massless and massive cases. A systematic linearization of nonlinear realization for the SUSY algebra is also discussed in the superspace formalism with a spinor-vector Grassmann coordinate. |
hep-th/0009096 | Alex Lewis | Alex Lewis | Logarithmic CFT on the Boundary and the World-Sheet | 19 pages, Latex | null | null | null | hep-th | null | The correspondences between logarithmic operators in the CFTs on the boundary
of AdS_3 and on the world-sheet and dipole fields in the bulk are studied using
the free field formulation of the SL(2,C)/SU(2) WZNW model. We find that
logarithmic operators on the boundary are related to operators on the
world-sheet which are in indecomposable representations of SL(2). The
Knizhnik-Zamolodchikov equation is used to determine the conditions for those
representations to appear in the operator product expansions of the model.
| [
{
"created": "Tue, 12 Sep 2000 16:28:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Lewis",
"Alex",
""
]
] | The correspondences between logarithmic operators in the CFTs on the boundary of AdS_3 and on the world-sheet and dipole fields in the bulk are studied using the free field formulation of the SL(2,C)/SU(2) WZNW model. We find that logarithmic operators on the boundary are related to operators on the world-sheet which are in indecomposable representations of SL(2). The Knizhnik-Zamolodchikov equation is used to determine the conditions for those representations to appear in the operator product expansions of the model. |
2002.01481 | Ander Retolaza | Mariana Gra\~na, Nicolas Kovensky, Ander Retolaza | Gaugino mass term for D-branes and Generalized Complex Geometry | 23 pages. v2: version published in JHEP with minor modifications | JHEP 06 (2020) 047 | 10.1007/JHEP06(2020)047 | IPhT-t20/018 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the four-dimensional gaugino mass for a Dp-brane extended in
spacetime and wrapping a cycle on the internal geometry in a warped
compactification with fluxes. Motivated by the backreaction of gaugino bilinear
VEVs, we use Generalized Complex Geometry to characterize the internal geometry
as well as the cycle wrapped by the brane. We find that the RR fluxes and the
non-closure of the generalized complex structures combine in the gaugino mass
terms in the same form as they do in the bulk superpotential, while for the
NSNS fluxes there is a crucial minus sign in the component normal to the brane.
Our expression extends the known result for D3 and D7-branes in Calabi-Yau
manifolds, where the gaugino masses are induced respectively by the imaginary
anti-self dual and imaginary self-dual components of the complex 3-form flux
$G_3$.
| [
{
"created": "Tue, 4 Feb 2020 19:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2020 07:53:47 GMT",
"version": "v2"
}
] | 2020-06-09 | [
[
"Graña",
"Mariana",
""
],
[
"Kovensky",
"Nicolas",
""
],
[
"Retolaza",
"Ander",
""
]
] | We compute the four-dimensional gaugino mass for a Dp-brane extended in spacetime and wrapping a cycle on the internal geometry in a warped compactification with fluxes. Motivated by the backreaction of gaugino bilinear VEVs, we use Generalized Complex Geometry to characterize the internal geometry as well as the cycle wrapped by the brane. We find that the RR fluxes and the non-closure of the generalized complex structures combine in the gaugino mass terms in the same form as they do in the bulk superpotential, while for the NSNS fluxes there is a crucial minus sign in the component normal to the brane. Our expression extends the known result for D3 and D7-branes in Calabi-Yau manifolds, where the gaugino masses are induced respectively by the imaginary anti-self dual and imaginary self-dual components of the complex 3-form flux $G_3$. |
0806.2466 | Anastasia Volovich | Chrysostomos Kalousios, Georgios Papathanasiou, Anastasia Volovich | Exact solutions for N-magnon scattering | 19 pages, 1 figure | JHEP0808:095,2008 | 10.1088/1126-6708/2008/08/095 | BROWN-HET-1500 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Giant magnon solutions play an important role in various aspects of the
AdS/CFT correspondence. We apply the dressing method to construct an explicit
formula for scattering states of an arbitrary number N of magnons on R x S^3.
The solution can be written in Hirota form and in terms of determinants of N x
N matrices. Such a representation may prove useful for the construction of an
effective particle Hamiltonian describing magnon dynamics.
| [
{
"created": "Mon, 16 Jun 2008 18:14:30 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kalousios",
"Chrysostomos",
""
],
[
"Papathanasiou",
"Georgios",
""
],
[
"Volovich",
"Anastasia",
""
]
] | Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R x S^3. The solution can be written in Hirota form and in terms of determinants of N x N matrices. Such a representation may prove useful for the construction of an effective particle Hamiltonian describing magnon dynamics. |
hep-th/0405176 | Fernando Falceto | Ivan Calvo, Fernando Falceto | Poisson reduction and branes in Poisson-Sigma models | 18 pages. Version to appear in Lett. Math. Phys | Lett.Math.Phys. 70 (2004) 231-247 | 10.1007/s11005-004-4302-7 | null | hep-th math.QA | null | We analyse the problem of boundary conditions for the Poisson-Sigma model and
extend previous results showing that non-coisotropic branes are allowed. We
discuss the canonical reduction of a Poisson structure to a submanifold,
leading to a Poisson algebra that generalizes Dirac's construction. The phase
space of the model on the strip is related to the (generalized) Dirac bracket
on the branes through a dual pair structure.
| [
{
"created": "Thu, 20 May 2004 11:30:22 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Feb 2005 12:50:15 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Calvo",
"Ivan",
""
],
[
"Falceto",
"Fernando",
""
]
] | We analyse the problem of boundary conditions for the Poisson-Sigma model and extend previous results showing that non-coisotropic branes are allowed. We discuss the canonical reduction of a Poisson structure to a submanifold, leading to a Poisson algebra that generalizes Dirac's construction. The phase space of the model on the strip is related to the (generalized) Dirac bracket on the branes through a dual pair structure. |
1302.1656 | Naoki Sasakura | Naoki Sasakura | A canonical rank-three tensor model with a scaling constraint | 11 pages, minor corrections: typos corrected, references added, a
discussion added in the final section | null | 10.1142/S0217751X13500309 | YITP-13-11 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A rank-three tensor model in canonical formalism has recently been proposed.
The model describes consistent local-time evolutions of fuzzy spaces through a
set of first-class constraints which form an on-shell closed algebra with
structure functions. In fact, the algebra provides an algebraically consistent
discretization of the Dirac-DeWitt constraint algebra in the canonical
formalism of general relativity. However, the configuration space of this model
contains obvious degeneracies of representing identical fuzzy spaces. In this
paper, to delete the degeneracies, another first-class constraint representing
a scaling symmetry is added to propose a new canonical rank-three tensor model.
A consequence is that, while classical solutions of the previous model have
typically runaway or vanishing behaviors, the new model has a compact
configuration space and its classical solutions asymptotically approach either
fixed points or cyclic orbits in time evolution. Among others, fixed points
contain configurations with group symmetries, and may represent stationary
symmetric fuzzy spaces. Another consequence on the uniqueness of the local
Hamiltonian constraint is also discussed, and a minimal canonical tensor model,
which is unique, is given.
| [
{
"created": "Thu, 7 Feb 2013 07:43:40 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2013 05:17:02 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Sasakura",
"Naoki",
""
]
] | A rank-three tensor model in canonical formalism has recently been proposed. The model describes consistent local-time evolutions of fuzzy spaces through a set of first-class constraints which form an on-shell closed algebra with structure functions. In fact, the algebra provides an algebraically consistent discretization of the Dirac-DeWitt constraint algebra in the canonical formalism of general relativity. However, the configuration space of this model contains obvious degeneracies of representing identical fuzzy spaces. In this paper, to delete the degeneracies, another first-class constraint representing a scaling symmetry is added to propose a new canonical rank-three tensor model. A consequence is that, while classical solutions of the previous model have typically runaway or vanishing behaviors, the new model has a compact configuration space and its classical solutions asymptotically approach either fixed points or cyclic orbits in time evolution. Among others, fixed points contain configurations with group symmetries, and may represent stationary symmetric fuzzy spaces. Another consequence on the uniqueness of the local Hamiltonian constraint is also discussed, and a minimal canonical tensor model, which is unique, is given. |
1905.09399 | Clifford V. Johnson | Clifford V. Johnson | Holographic Heat Engines as Quantum Heat Engines | 24 pages, multiple figures, 1 trumpet | Class. Quant. Grav. 37, 034001 (2019) | 10.1088/1361-6382/ab5ba9 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Certain solutions of Einstein's equations in anti-de Sitter spacetime can be
engineered, using extended gravitational thermodynamics, to yield `holographic
heat engines', devices that turn heat into useful mechanical work. On the other
hand, there are constructions (both experimental and theoretical) where a
series of operations is performed on a small quantum system, defining what are
known as `quantum heat engines'. We propose that certain holographic heat
engines can be considered models of quantum heat engines, and the possible
fruitfulness of this connection is discussed. Motivated by features of quantum
heat engines that take a quantum system through analogues of certain classic
thermodynamic cycles, some black hole Otto and Diesel cycles are presented and
explored for the first time. In the expected regime of overlap, our Otto
efficiency formulae are of the form exhibited by quantum and classical heat
engines.
| [
{
"created": "Wed, 22 May 2019 23:12:18 GMT",
"version": "v1"
}
] | 2020-02-19 | [
[
"Johnson",
"Clifford V.",
""
]
] | Certain solutions of Einstein's equations in anti-de Sitter spacetime can be engineered, using extended gravitational thermodynamics, to yield `holographic heat engines', devices that turn heat into useful mechanical work. On the other hand, there are constructions (both experimental and theoretical) where a series of operations is performed on a small quantum system, defining what are known as `quantum heat engines'. We propose that certain holographic heat engines can be considered models of quantum heat engines, and the possible fruitfulness of this connection is discussed. Motivated by features of quantum heat engines that take a quantum system through analogues of certain classic thermodynamic cycles, some black hole Otto and Diesel cycles are presented and explored for the first time. In the expected regime of overlap, our Otto efficiency formulae are of the form exhibited by quantum and classical heat engines. |
2310.12124 | Luca Smaldone Ph.D | Giuseppe Gaetano Luciano and Luca Smaldone | Time-energy uncertainty relation for neutrino oscillations: historical
development, applications and future prospects | 20 pages, published version | Symmetry 15(11), 2032 (2023) | 10.3390/sym15112032 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | Time-energy uncertainty relation (TEUR) plays a fundamental role in quantum
mechanics, as it allows to grasp peculiar aspects of a variety of phenomena
based on very general principles and symmetries of the theory. Using the
Mandelstam-Tamm method, TEUR has been recently derived for neutrino
oscillations by connecting the uncertainty on neutrino energy with the
characteristic time-scale of oscillations. Interestingly enough, the suggestive
interpretation of neutrinos as unstable-like particles has proved to naturally
emerge in this context. Further aspects have been later discussed in
semiclassical gravity by computing corrections to the neutrino energy
uncertainty in a generic stationary curved spacetime, and in quantum field
theory, where the clock observable turns out to be identified with the
non-conserved flavor charge operator. In the present work, we give an overview
on the above achievements. In particular, we analyze the implications of TEUR
and explore the impact of gravitational and non-relativistic effects on the
standard condition for neutrino oscillations.
| [
{
"created": "Wed, 18 Oct 2023 17:31:14 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2023 10:53:41 GMT",
"version": "v2"
}
] | 2023-11-10 | [
[
"Luciano",
"Giuseppe Gaetano",
""
],
[
"Smaldone",
"Luca",
""
]
] | Time-energy uncertainty relation (TEUR) plays a fundamental role in quantum mechanics, as it allows to grasp peculiar aspects of a variety of phenomena based on very general principles and symmetries of the theory. Using the Mandelstam-Tamm method, TEUR has been recently derived for neutrino oscillations by connecting the uncertainty on neutrino energy with the characteristic time-scale of oscillations. Interestingly enough, the suggestive interpretation of neutrinos as unstable-like particles has proved to naturally emerge in this context. Further aspects have been later discussed in semiclassical gravity by computing corrections to the neutrino energy uncertainty in a generic stationary curved spacetime, and in quantum field theory, where the clock observable turns out to be identified with the non-conserved flavor charge operator. In the present work, we give an overview on the above achievements. In particular, we analyze the implications of TEUR and explore the impact of gravitational and non-relativistic effects on the standard condition for neutrino oscillations. |
hep-th/9812001 | Young-Jai Park | Yong-Wan Kim, Seung-Kook Kim, and Young-Jai Park | Lagrangian Approach of the First Class Constrained Systems | 12 pages, no figure | Mod.Phys.Lett. A13 (1998) 2653-2663 | 10.1142/S0217732398002825 | SOGANG-HEP 235/98 | hep-th | null | We show how to systematically derive the exact form of local symmetries for
the abelian Proca and CS models, which are converted into first class
constrained systems by the BFT formalism, in the Lagrangian formalism. As
results, without resorting to a Hamiltonian formulation we obtain the
well-known U(1) symmetry for the gauge invariant Proca model, while showing
that for the CS model there exist novel symmetries as well as the usual
symmetry transformations.
| [
{
"created": "Tue, 1 Dec 1998 01:35:39 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kim",
"Yong-Wan",
""
],
[
"Kim",
"Seung-Kook",
""
],
[
"Park",
"Young-Jai",
""
]
] | We show how to systematically derive the exact form of local symmetries for the abelian Proca and CS models, which are converted into first class constrained systems by the BFT formalism, in the Lagrangian formalism. As results, without resorting to a Hamiltonian formulation we obtain the well-known U(1) symmetry for the gauge invariant Proca model, while showing that for the CS model there exist novel symmetries as well as the usual symmetry transformations. |
hep-th/9303148 | Shahn Majid | Shahn Majid | Quantum and Braided Lie Algebras | 56 pages | null | 10.1016/0393-0440(94)90014-0 | DAMTP/93-04 | hep-th math.QA | null | We introduce the notion of a braided Lie algebra consisting of a
finite-dimensional vector space $\CL$ equipped with a bracket $[\ ,\
]:\CL\tens\CL\to \CL$ and a Yang-Baxter operator $\Psi:\CL\tens\CL\to
\CL\tens\CL$ obeying some axioms. We show that such an object has an enveloping
braided-bialgebra $U(\CL)$. We show that every generic $R$-matrix leads to such
a braided Lie algebra with $[\ ,\ ]$ given by structure constants $c^{IJ}{}_K$
determined from $R$. In this case $U(\CL)=B(R)$ the braided matrices introduced
previously. We also introduce the basic theory of these braided Lie algebras,
including the natural right-regular action of a braided-Lie algebra $\CL$ by
braided vector fields, the braided-Killing form and the quadratic Casimir
associated to $\CL$. These constructions recover the relevant notions for
usual, colour and super-Lie algebras as special cases. In addition, the
standard quantum deformations $U_q(g)$ are understood as the enveloping
algebras of such underlying braided Lie algebras with $[\ ,\ ]$ on $\CL\subset
U_q(g)$ given by the quantum adjoint action.
| [
{
"created": "Fri, 26 Mar 1993 15:52:39 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Majid",
"Shahn",
""
]
] | We introduce the notion of a braided Lie algebra consisting of a finite-dimensional vector space $\CL$ equipped with a bracket $[\ ,\ ]:\CL\tens\CL\to \CL$ and a Yang-Baxter operator $\Psi:\CL\tens\CL\to \CL\tens\CL$ obeying some axioms. We show that such an object has an enveloping braided-bialgebra $U(\CL)$. We show that every generic $R$-matrix leads to such a braided Lie algebra with $[\ ,\ ]$ given by structure constants $c^{IJ}{}_K$ determined from $R$. In this case $U(\CL)=B(R)$ the braided matrices introduced previously. We also introduce the basic theory of these braided Lie algebras, including the natural right-regular action of a braided-Lie algebra $\CL$ by braided vector fields, the braided-Killing form and the quadratic Casimir associated to $\CL$. These constructions recover the relevant notions for usual, colour and super-Lie algebras as special cases. In addition, the standard quantum deformations $U_q(g)$ are understood as the enveloping algebras of such underlying braided Lie algebras with $[\ ,\ ]$ on $\CL\subset U_q(g)$ given by the quantum adjoint action. |
2406.07614 | Ignacio Ruiz | Gonzalo F. Casas, Miguel Montero, Ignacio Ruiz | Cosmological Chameleons, String Theory and the Swampland | 27 pages, 6 figures | null | null | IFT-UAM/CSIC-24-71 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study a scenario with a transient phase of cosmological acceleration that
could potentially be realized in asymptotic corners of String Theory moduli
space. A very steep scalar potential is temporarily stabilized by the effect of
a nonzero density of heavy states, leading to acceleration, in what amounts to
a cosmological version of the Chameleon mechanism. The density of heavy states
is diluted by cosmological expansion, weakening their effect. After roughly one
$e$-fold their effect can no longer stabilize the potential, and the
accelerating phase ends. We also study a scenario where there is no potential
and the transient acceleration is achieved by the counterbalancing effects of
light and heavy towers of states. In both cases we show that it is not possible
to obtain more than $\mathcal{O}(1)$ $e$-folds without transplanckian field
excursions. We also discuss the general EFT constraints on these models and
explore a number of first attempts at concrete embeddings of the scenario in
String Theory. These all turn out to face significant challenges.
| [
{
"created": "Tue, 11 Jun 2024 18:00:02 GMT",
"version": "v1"
}
] | 2024-06-13 | [
[
"Casas",
"Gonzalo F.",
""
],
[
"Montero",
"Miguel",
""
],
[
"Ruiz",
"Ignacio",
""
]
] | We study a scenario with a transient phase of cosmological acceleration that could potentially be realized in asymptotic corners of String Theory moduli space. A very steep scalar potential is temporarily stabilized by the effect of a nonzero density of heavy states, leading to acceleration, in what amounts to a cosmological version of the Chameleon mechanism. The density of heavy states is diluted by cosmological expansion, weakening their effect. After roughly one $e$-fold their effect can no longer stabilize the potential, and the accelerating phase ends. We also study a scenario where there is no potential and the transient acceleration is achieved by the counterbalancing effects of light and heavy towers of states. In both cases we show that it is not possible to obtain more than $\mathcal{O}(1)$ $e$-folds without transplanckian field excursions. We also discuss the general EFT constraints on these models and explore a number of first attempts at concrete embeddings of the scenario in String Theory. These all turn out to face significant challenges. |
hep-th/0305217 | David Justin Raj | Luis F. Alday, Michele Cirafici, Justin R. David, Edi Gava, K.S.
Narain | Gravitational F-terms through anomaly equations and deformed chiral
rings | 36 pages, Uses JHEP.cls | JHEP 0401 (2004) 001 | 10.1088/1126-6708/2004/01/001 | null | hep-th | null | We study effective gravitational F-terms, obtained by integrating an $U(N)$
adjoint chiral superfield $\Phi$ coupled to the ${\cal N}=1$ gauge chiral
superfield $W_\alpha$ and supergravity, to arbitrary orders in the
gravitational background. The latter includes in addition to the ${\cal N}=1$
Weyl superfield $G_{\alpha\beta\gamma}$, the self-dual graviphoton field
strength $F_{\alpha\beta}$ of the parent, broken ${\cal N}=2$ theory. We first
study the chiral ring relations resulting from the above non-standard
gravitational background and find agreement, for gauge invariant operators,
with those obtained from the dual closed string side via Bianchi identities for
${\cal N}=2$ supergravity coupled to vector multiplets. We then derive
generalized anomaly equations for connected correlators on the gauge theory
side, which allow us to solve for the basic one-point function $\langle {\rm
Tr} W^2/(z-\Phi)\rangle$ to all orders in $F^2$. By generalizing the matrix
model loop equation to the generating functional of connected correlators of
resolvents, we prove that the gauge theory result coincides with the genus
expansion of the associated matrix model, after identifying the expansion
parameters on the two sides.
| [
{
"created": "Mon, 26 May 2003 19:55:51 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Alday",
"Luis F.",
""
],
[
"Cirafici",
"Michele",
""
],
[
"David",
"Justin R.",
""
],
[
"Gava",
"Edi",
""
],
[
"Narain",
"K. S.",
""
]
] | We study effective gravitational F-terms, obtained by integrating an $U(N)$ adjoint chiral superfield $\Phi$ coupled to the ${\cal N}=1$ gauge chiral superfield $W_\alpha$ and supergravity, to arbitrary orders in the gravitational background. The latter includes in addition to the ${\cal N}=1$ Weyl superfield $G_{\alpha\beta\gamma}$, the self-dual graviphoton field strength $F_{\alpha\beta}$ of the parent, broken ${\cal N}=2$ theory. We first study the chiral ring relations resulting from the above non-standard gravitational background and find agreement, for gauge invariant operators, with those obtained from the dual closed string side via Bianchi identities for ${\cal N}=2$ supergravity coupled to vector multiplets. We then derive generalized anomaly equations for connected correlators on the gauge theory side, which allow us to solve for the basic one-point function $\langle {\rm Tr} W^2/(z-\Phi)\rangle$ to all orders in $F^2$. By generalizing the matrix model loop equation to the generating functional of connected correlators of resolvents, we prove that the gauge theory result coincides with the genus expansion of the associated matrix model, after identifying the expansion parameters on the two sides. |
2111.12700 | Adam R. Brown | Adam R. Brown, Michael H. Freedman, Henry W. Lin, Leonard Susskind | Universality in long-distance geometry and quantum complexity | v2: journal version. new title (previously "Effective Geometry,
Complexity, and Universality") | Nature, 622, 58 (2023) | 10.1038/s41586-023-06460-3 | null | hep-th math.DG quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In physics, two systems that radically differ at short scales can exhibit
strikingly similar macroscopic behaviour: they are part of the same
long-distance universality class. Here we apply this viewpoint to geometry and
initiate a program of classifying homogeneous metrics on group manifolds by
their long-distance properties. We show that many metrics on low-dimensional
Lie groups have markedly different short-distance properties but nearly
identical distance functions at long distances, and provide evidence that this
phenomenon is even more robust in high dimensions. An application of these
ideas of particular interest to physics and computer science is complexity
geometry--the study of quantum computational complexity using Riemannian
geometry. We argue for the existence of a large universality class of
definitions of quantum complexity, each linearly related to the other, a much
finer-grained equivalence than typically considered. We conjecture that a new
effective metric emerges at larger complexities that describes a broad class of
complexity geometries, insensitive to various choices of microscopic penalty
factors. We discuss the implications for recent conjectures in quantum gravity.
| [
{
"created": "Wed, 24 Nov 2021 18:52:44 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Nov 2023 19:25:56 GMT",
"version": "v2"
}
] | 2023-11-22 | [
[
"Brown",
"Adam R.",
""
],
[
"Freedman",
"Michael H.",
""
],
[
"Lin",
"Henry W.",
""
],
[
"Susskind",
"Leonard",
""
]
] | In physics, two systems that radically differ at short scales can exhibit strikingly similar macroscopic behaviour: they are part of the same long-distance universality class. Here we apply this viewpoint to geometry and initiate a program of classifying homogeneous metrics on group manifolds by their long-distance properties. We show that many metrics on low-dimensional Lie groups have markedly different short-distance properties but nearly identical distance functions at long distances, and provide evidence that this phenomenon is even more robust in high dimensions. An application of these ideas of particular interest to physics and computer science is complexity geometry--the study of quantum computational complexity using Riemannian geometry. We argue for the existence of a large universality class of definitions of quantum complexity, each linearly related to the other, a much finer-grained equivalence than typically considered. We conjecture that a new effective metric emerges at larger complexities that describes a broad class of complexity geometries, insensitive to various choices of microscopic penalty factors. We discuss the implications for recent conjectures in quantum gravity. |
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