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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2204.08178 | Ankit Anand | Ankit Anand | Self-Supporting Wormholes in Four Dimensions with Scalar Field | null | null | 10.1140/epjc/s10052-023-11789-0 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, we investigated the space-time obtained by quotients of the
$AdS_4$ space-time. Further quotient with specific $\mathbb{Z}_2$ is
considered. Taking up to the first-order perturbation in metric, we estimated
the backreaction of the matter field on space-time geometry. We can calculate
the stress-energy tensor's expected value by pulling it back onto the covering
space. The average null energy becomes negative when the suitable boundary
condition is chosen, resulting in a traversable wormhole.
| [
{
"created": "Mon, 18 Apr 2022 06:16:50 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2022 05:41:44 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Nov 2022 07:18:19 GMT",
"version": "v3"
}
] | 2023-08-02 | [
[
"Anand",
"Ankit",
""
]
] | In this paper, we investigated the space-time obtained by quotients of the $AdS_4$ space-time. Further quotient with specific $\mathbb{Z}_2$ is considered. Taking up to the first-order perturbation in metric, we estimated the backreaction of the matter field on space-time geometry. We can calculate the stress-energy tensor's expected value by pulling it back onto the covering space. The average null energy becomes negative when the suitable boundary condition is chosen, resulting in a traversable wormhole. |
hep-th/9908024 | Amit Ghosh | A. Ghosh, R. Madden, G. Veneziano | Back-Reaction to Dilaton-Driven Inflation | 27 pages, Latex, 7 figures | Nucl.Phys.B570:207-226,2000 | 10.1016/S0550-3213(99)00571-4 | CERN-TH/99-211 | hep-th astro-ph gr-qc | null | We compute the leading-order back-reaction to dilaton-driven inflation, due
to graviton, dilaton and gauge-boson production. The one-loop effect turns out
to be non-vanishing (unlike the case for pure de-Sitter and for power-law
inflation), to be of relative order $\ell_P^2H^2(t)$, and to have the correct
sign for favouring the exit to a FRW phase.
| [
{
"created": "Tue, 3 Aug 1999 17:24:49 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ghosh",
"A.",
""
],
[
"Madden",
"R.",
""
],
[
"Veneziano",
"G.",
""
]
] | We compute the leading-order back-reaction to dilaton-driven inflation, due to graviton, dilaton and gauge-boson production. The one-loop effect turns out to be non-vanishing (unlike the case for pure de-Sitter and for power-law inflation), to be of relative order $\ell_P^2H^2(t)$, and to have the correct sign for favouring the exit to a FRW phase. |
hep-th/9905196 | Gary Gibbons | G W Gibbons and P K Townsend | A Bogomol`nyi equation for intersecting domain walls | 4 pages revtex. No figures. Revised version to appear in Physical
Review Letters includes discussion of the supersymmetry algebra | Phys.Rev.Lett.83:1727-1730,1999 | 10.1103/PhysRevLett.83.1727 | null | hep-th | null | We argue that the Wess-Zumino model with quartic superpotential admits static
solutions in which three domain walls intersect at a junction. We derive an
energy bound for such junctions and show that configurations saturating it
preserve 1/4 supersymmetry.
| [
{
"created": "Wed, 26 May 1999 15:12:44 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jun 1999 17:09:18 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Jul 1999 14:02:12 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Gibbons",
"G W",
""
],
[
"Townsend",
"P K",
""
]
] | We argue that the Wess-Zumino model with quartic superpotential admits static solutions in which three domain walls intersect at a junction. We derive an energy bound for such junctions and show that configurations saturating it preserve 1/4 supersymmetry. |
hep-th/0602243 | M. Hossein Dehghani | M. H. Dehghani and R. B. Mann | Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock
Gravity and the Counterterm Method | 19 pages, 1 figure, a few references added, typos corrected | Phys.Rev.D73:104003,2006 | 10.1103/PhysRevD.73.104003 | null | hep-th | null | We generalize the quasilocal definition of the stress energy tensor of
Einstein gravity to the case of third order Lovelock gravity, by introducing
the surface terms that make the action well-defined. We also introduce the
boundary counterterm that removes the divergences of the action and the
conserved quantities of the solutions of third order Lovelock gravity with zero
curvature boundary at constant $t$ and $r$. Then, we compute the charged
rotating solutions of this theory in $n+1$ dimensions with a complete set of
allowed rotation parameters. These charged rotating solutions present black
hole solutions with two inner and outer event horizons, extreme black holes or
naked singularities provided the parameters of the solutions are chosen
suitable. We compute temperature, entropy, charge, electric potential, mass and
angular momenta of the black hole solutions, and find that these quantities
satisfy the first law of thermodynamics. We find a Smarr-type formula and
perform a stability analysis by computing the heat capacity and the determinant
of Hessian matrix of mass with respect to its thermodynamic variables in both
the canonical and the grand-canonical ensembles, and show that the system is
thermally stable. This is commensurate with the fact that there is no
Hawking-Page phase transition for black objects with zero curvature horizon.
| [
{
"created": "Thu, 23 Feb 2006 08:58:20 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 2006 08:49:51 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dehghani",
"M. H.",
""
],
[
"Mann",
"R. B.",
""
]
] | We generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of third order Lovelock gravity, by introducing the surface terms that make the action well-defined. We also introduce the boundary counterterm that removes the divergences of the action and the conserved quantities of the solutions of third order Lovelock gravity with zero curvature boundary at constant $t$ and $r$. Then, we compute the charged rotating solutions of this theory in $n+1$ dimensions with a complete set of allowed rotation parameters. These charged rotating solutions present black hole solutions with two inner and outer event horizons, extreme black holes or naked singularities provided the parameters of the solutions are chosen suitable. We compute temperature, entropy, charge, electric potential, mass and angular momenta of the black hole solutions, and find that these quantities satisfy the first law of thermodynamics. We find a Smarr-type formula and perform a stability analysis by computing the heat capacity and the determinant of Hessian matrix of mass with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles, and show that the system is thermally stable. This is commensurate with the fact that there is no Hawking-Page phase transition for black objects with zero curvature horizon. |
0903.0259 | Silviu-Constantin Sararu | E. M. Cioroianu, E. Diaconu, S. C. Sararu | On the consistent interactions in D=11 among a graviton, a massless
gravitino and a three-form | 9 pages, Contribution to the proceedings of the 4th Workshop RTN
"ForcesUniverse" Varna, September 11-17, 2008 | Fortsch.Phys.57:535-541,2009 | 10.1002/prop.200900056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The couplings that can be introduced between a massless Rarita-Schwinger
field, a Pauli-Fierz field and an Abelian three-form gauge field in eleven
spacetime dimensions are analyzed in the context of the deformation of the
solution of the master equation.
| [
{
"created": "Mon, 2 Mar 2009 11:00:40 GMT",
"version": "v1"
}
] | 2009-08-03 | [
[
"Cioroianu",
"E. M.",
""
],
[
"Diaconu",
"E.",
""
],
[
"Sararu",
"S. C.",
""
]
] | The couplings that can be introduced between a massless Rarita-Schwinger field, a Pauli-Fierz field and an Abelian three-form gauge field in eleven spacetime dimensions are analyzed in the context of the deformation of the solution of the master equation. |
1512.04840 | Salvatore Capozziello | Alireza Sepehri, Mohammad Reza Setare, Salvatore Capozziello | Emergence and expansion of cosmic space as due to M0-branes | 16 pages, 3 figures, to appear in EPJC | null | 10.1140/epjc/s10052-015-3850-6 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Padmanabhan [arXiv:1206.4916 [hep-th]] discussed that the
difference between the number of degrees of freedom on the boundary surface and
the number of degrees of freedom in a bulk region causes the accelerated
expansion of the universe. The main question that arises on the origin of this
inequality between the surface degrees of freedom and the bulk degrees of
freedom. We answer this question in M-theory. In our model, first M0-branes are
compactified on one circle and then N D0-branes are created. Then, N D0-branes
join to each other, grow and form a D5-brane. Next, D5- brane is compactified
on two circle and our universe-D3-brane, two D1-brane and some extra energies
are produced. After that, one of the D1-branes, which is more close to the
universe-brane, gives its energy into it, leads to an increase of the
difference between the number of degrees of freedom and the occurring inflation
era. With the disappearance of this D1-brane, the number of degrees of freedom
of boundary surface and bulk region becomes equal and inflation ends. At this
stage, extra energies that are produced due to the compactification cause to an
expansion of universe and deceleration epoch. Finally, another D1-brane,
dissolves in our universe-brane, leads to an inequality between degrees of
freedom and gives rise to a new phase of acceleration.
| [
{
"created": "Tue, 15 Dec 2015 16:21:20 GMT",
"version": "v1"
}
] | 2016-01-27 | [
[
"Sepehri",
"Alireza",
""
],
[
"Setare",
"Mohammad Reza",
""
],
[
"Capozziello",
"Salvatore",
""
]
] | Recently, Padmanabhan [arXiv:1206.4916 [hep-th]] discussed that the difference between the number of degrees of freedom on the boundary surface and the number of degrees of freedom in a bulk region causes the accelerated expansion of the universe. The main question that arises on the origin of this inequality between the surface degrees of freedom and the bulk degrees of freedom. We answer this question in M-theory. In our model, first M0-branes are compactified on one circle and then N D0-branes are created. Then, N D0-branes join to each other, grow and form a D5-brane. Next, D5- brane is compactified on two circle and our universe-D3-brane, two D1-brane and some extra energies are produced. After that, one of the D1-branes, which is more close to the universe-brane, gives its energy into it, leads to an increase of the difference between the number of degrees of freedom and the occurring inflation era. With the disappearance of this D1-brane, the number of degrees of freedom of boundary surface and bulk region becomes equal and inflation ends. At this stage, extra energies that are produced due to the compactification cause to an expansion of universe and deceleration epoch. Finally, another D1-brane, dissolves in our universe-brane, leads to an inequality between degrees of freedom and gives rise to a new phase of acceleration. |
hep-th/0503126 | Chris E. Beasley | Chris Beasley and Edward Witten | Non-Abelian Localization For Chern-Simons Theory | 131 pages, harvmac, v2: references added | J.Diff.Geom.70:183-323,2005 | null | PUPT-2150 | hep-th | null | We reconsider Chern-Simons gauge theory on a Seifert manifold M (the total
space of a nontrivial circle bundle over a Riemann surface). When M is a
Seifert manifold, Lawrence and Rozansky have shown from the exact solution of
Chern-Simons theory that the partition function has a remarkably simple
structure and can be rewritten entirely as a sum of local contributions from
the flat connections on M. We explain how this empirical fact follows from the
technique of non-abelian localization as applied to the Chern-Simons path
integral. In the process, we show that the partition function of Chern-Simons
theory on M admits a topological interpretation in terms of the equivariant
cohomology of the moduli space of flat connections on M.
| [
{
"created": "Wed, 16 Mar 2005 19:27:46 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2005 20:24:17 GMT",
"version": "v2"
}
] | 2010-04-07 | [
[
"Beasley",
"Chris",
""
],
[
"Witten",
"Edward",
""
]
] | We reconsider Chern-Simons gauge theory on a Seifert manifold M (the total space of a nontrivial circle bundle over a Riemann surface). When M is a Seifert manifold, Lawrence and Rozansky have shown from the exact solution of Chern-Simons theory that the partition function has a remarkably simple structure and can be rewritten entirely as a sum of local contributions from the flat connections on M. We explain how this empirical fact follows from the technique of non-abelian localization as applied to the Chern-Simons path integral. In the process, we show that the partition function of Chern-Simons theory on M admits a topological interpretation in terms of the equivariant cohomology of the moduli space of flat connections on M. |
0811.3482 | Bin Chen | Bin Chen, Zhi-bo Xu and Chang-yong Liu | Note on Generalized Janus Configurations | 27 pages; References added | JHEP 0902:036,2009 | 10.1088/1126-6708/2009/02/036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study several aspects of generalized Janus configuration, which includes a
theta term. We investigate the vacuum structure of the theory and find that
unlike the Janus configuration without theta term there is no nontrivial
vacuum. We also discuss BPS soliton configuration both by supersymmetry
analysis and from energy functional. The half BPS configurations could be
realized by introducing transverse (p,q)-strings in original brane
configuration corresponding to generalized Janus configuration. It turns out
the BPS soliton could be taken as modified dyon. We discuss the solution of
half BPS equations for the sharp interface case. Moreover we construct less
supersymmetric Janus configuration with theta term.
| [
{
"created": "Fri, 21 Nov 2008 07:50:59 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Nov 2008 08:22:34 GMT",
"version": "v2"
}
] | 2009-02-18 | [
[
"Chen",
"Bin",
""
],
[
"Xu",
"Zhi-bo",
""
],
[
"Liu",
"Chang-yong",
""
]
] | We study several aspects of generalized Janus configuration, which includes a theta term. We investigate the vacuum structure of the theory and find that unlike the Janus configuration without theta term there is no nontrivial vacuum. We also discuss BPS soliton configuration both by supersymmetry analysis and from energy functional. The half BPS configurations could be realized by introducing transverse (p,q)-strings in original brane configuration corresponding to generalized Janus configuration. It turns out the BPS soliton could be taken as modified dyon. We discuss the solution of half BPS equations for the sharp interface case. Moreover we construct less supersymmetric Janus configuration with theta term. |
1604.04450 | Melvin Irizarry-Gelp\'i | M.E. Irizarry-Gelp\'i and W. Siegel | Non-Perturbative Four-Point Scattering from First-Quantized Relativistic
JWKB | 40 pages, 2 figures | null | null | YITP-SB-16-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the quantum mechanical (first-quantized) JWKB approximation to a
two-body path integral describing the near-forward scattering of two
relativistic, heavy, non-identical, scalar particles in $D$ spacetime
dimensions. In contrast to the loop expansion, in $D = 4$ this gives a
strong-coupling expansion, and in $D = 3$ a non-perturbative weak-coupling
expansion. When the interaction is mediated by massless quanta with spin $N$,
we obtain explicit, relativistic results for the scattering amplitude when $N =
0$, $1$ and $2$. In $D = 4$ we find a Regge trajectory function that agrees
with the usual quantum mechanical spectrum. We also find an exponentiated
infrared divergence that becomes a pure phase factor when the Mandelstam
invariants $s$ and $t$ are inside of the physical scattering region. In $D = 3$
we find a singularity whose position along the $s$ axis is dependent on $t$.
When the interaction is mediated by a heavy scalar with mass $M$, in $D = 3$ we
find an all-order scattering amplitude where the multi-mass branch points $t =
(L + 1)^{2}M^{2}$ appear as Regge poles.
| [
{
"created": "Fri, 15 Apr 2016 12:05:38 GMT",
"version": "v1"
}
] | 2016-04-18 | [
[
"Irizarry-Gelpí",
"M. E.",
""
],
[
"Siegel",
"W.",
""
]
] | We apply the quantum mechanical (first-quantized) JWKB approximation to a two-body path integral describing the near-forward scattering of two relativistic, heavy, non-identical, scalar particles in $D$ spacetime dimensions. In contrast to the loop expansion, in $D = 4$ this gives a strong-coupling expansion, and in $D = 3$ a non-perturbative weak-coupling expansion. When the interaction is mediated by massless quanta with spin $N$, we obtain explicit, relativistic results for the scattering amplitude when $N = 0$, $1$ and $2$. In $D = 4$ we find a Regge trajectory function that agrees with the usual quantum mechanical spectrum. We also find an exponentiated infrared divergence that becomes a pure phase factor when the Mandelstam invariants $s$ and $t$ are inside of the physical scattering region. In $D = 3$ we find a singularity whose position along the $s$ axis is dependent on $t$. When the interaction is mediated by a heavy scalar with mass $M$, in $D = 3$ we find an all-order scattering amplitude where the multi-mass branch points $t = (L + 1)^{2}M^{2}$ appear as Regge poles. |
1505.03557 | Hong Lu | Zhong-Ying Fan and H. Lu | Static and Dynamic Hairy Planar Black Holes | 21 pages, 1 figure | Phys. Rev. D 92, 064008 (2015) | 10.1103/PhysRevD.92.064008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Einstein gravity in general dimensions, coupled to a scalar field
either minimally or non-minimally, together with a generic scalar potential. By
making appropriate choices of the scalar potential, we obtain large classes of
new scalar hairy black holes that are asymptotic to anti-de Sitter spacetimes
in planar coordinates. For some classes of solutions, we can promote the scalar
charge to be dependent on the advanced or retarded times in the
Eddington-Finkelstein coordinates, and obtain exact dynamic solutions. In
particular, one class of the collapse solutions describe the evolution from the
AdS vacua to some stable black hole states, driven by a conformally-massless
scalar. It is an explicit demonstration of nonlinear instability of the AdS
vacuum that is stable at the linear level.
| [
{
"created": "Wed, 13 May 2015 21:42:13 GMT",
"version": "v1"
}
] | 2015-09-16 | [
[
"Fan",
"Zhong-Ying",
""
],
[
"Lu",
"H.",
""
]
] | We consider Einstein gravity in general dimensions, coupled to a scalar field either minimally or non-minimally, together with a generic scalar potential. By making appropriate choices of the scalar potential, we obtain large classes of new scalar hairy black holes that are asymptotic to anti-de Sitter spacetimes in planar coordinates. For some classes of solutions, we can promote the scalar charge to be dependent on the advanced or retarded times in the Eddington-Finkelstein coordinates, and obtain exact dynamic solutions. In particular, one class of the collapse solutions describe the evolution from the AdS vacua to some stable black hole states, driven by a conformally-massless scalar. It is an explicit demonstration of nonlinear instability of the AdS vacuum that is stable at the linear level. |
1804.05182 | Peng-Cheng Li | Bin Chen, Peng-Cheng Li, Yu Tian and Cheng-Yong Zhang | Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$ | 30 pages, 11 figures | null | 10.1007/JHEP01(2019)156 | null | hep-th gr-qc physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic hydrodynamics in the Einstein-Gauss-Bonnet(EGB)
gravity in the framework of the large $D$ expansion. We find that the large $D$
EGB equations can be interpreted as the hydrodynamic equations describing the
conformal fluid. These fluid equations are truncated at the second order of the
derivative expansion, similar to the Einstein gravity at large $D$. From the
analysis of the fluid flows, we find that the fluid equations can be taken as a
variant of the compressible version of the non-relativistic Navier-Stokes
equations. Particularly, in the limit of small Mach number, these equations
could be cast into the form of the incompressible Navier-Stokes equations with
redefined Reynolds number and Mach number. By using numerical simulation, we
find that the EGB holographic turbulence shares similar qualitative feature as
the turbulence from the Einstein gravity, despite the presence of two extra
terms in the equations of motion. We analyze the effect of the GB term on the
holographic turbulence in detail.
| [
{
"created": "Sat, 14 Apr 2018 07:50:59 GMT",
"version": "v1"
}
] | 2019-02-20 | [
[
"Chen",
"Bin",
""
],
[
"Li",
"Peng-Cheng",
""
],
[
"Tian",
"Yu",
""
],
[
"Zhang",
"Cheng-Yong",
""
]
] | We study the holographic hydrodynamics in the Einstein-Gauss-Bonnet(EGB) gravity in the framework of the large $D$ expansion. We find that the large $D$ EGB equations can be interpreted as the hydrodynamic equations describing the conformal fluid. These fluid equations are truncated at the second order of the derivative expansion, similar to the Einstein gravity at large $D$. From the analysis of the fluid flows, we find that the fluid equations can be taken as a variant of the compressible version of the non-relativistic Navier-Stokes equations. Particularly, in the limit of small Mach number, these equations could be cast into the form of the incompressible Navier-Stokes equations with redefined Reynolds number and Mach number. By using numerical simulation, we find that the EGB holographic turbulence shares similar qualitative feature as the turbulence from the Einstein gravity, despite the presence of two extra terms in the equations of motion. We analyze the effect of the GB term on the holographic turbulence in detail. |
1905.05267 | Jorge Russo | J. G. Russo | Properties of the partition function of ${\cal N}=2$ supersymmetric QCD
with massive matter | 33 pages. References added | null | 10.1007/JHEP07(2019)125 | ICCUB-19-007 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the different quantum phases that occur in massive ${\cal N}=2$
supersymmetric QCD with gauge groups $SU(2)$ and $SU(3)$ as the coupling
$\Lambda/M$ is gradually increased from 0 to infinity. The phases can be
identified by computing the exact partition function by saddle-points,
combining supersymmetric localization and the Seiberg-Witten formalism. In all
cases, we find two phases, a weak coupling and a strong coupling phase,
separated by a critical point described by a superconformal field theory or
involving superconformal sectors. In crossing the critical point, the dominant
saddle-point hops from one singularity of the curve to another one. The
theories seem to undergo a second-order phase transition with divergent
susceptibility.
| [
{
"created": "Mon, 13 May 2019 19:59:42 GMT",
"version": "v1"
},
{
"created": "Thu, 16 May 2019 10:08:35 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 2019 10:00:52 GMT",
"version": "v3"
},
{
"created": "Fri, 29 Nov 2019 09:20:33 GMT",
"version": "v4"
}
] | 2019-12-02 | [
[
"Russo",
"J. G.",
""
]
] | We study the different quantum phases that occur in massive ${\cal N}=2$ supersymmetric QCD with gauge groups $SU(2)$ and $SU(3)$ as the coupling $\Lambda/M$ is gradually increased from 0 to infinity. The phases can be identified by computing the exact partition function by saddle-points, combining supersymmetric localization and the Seiberg-Witten formalism. In all cases, we find two phases, a weak coupling and a strong coupling phase, separated by a critical point described by a superconformal field theory or involving superconformal sectors. In crossing the critical point, the dominant saddle-point hops from one singularity of the curve to another one. The theories seem to undergo a second-order phase transition with divergent susceptibility. |
1512.05322 | Evgeny Buchbinder | Stefan Blesneag, Evgeny I. Buchbinder, Philip Candelas and Andre Lukas | Holomorphic Yukawa Couplings in Heterotic String Theory | 53 pages, Latex; typos corrected | JHEP 01 (2016) 152 | 10.1007/JHEP01(2016)152 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop techniques, based on differential geometry, to compute holomorphic
Yukawa couplings for heterotic line bundle models on Calabi-Yau manifolds
defined as complete intersections in projective spaces. It is shown explicitly
how these techniques relate to algebraic methods for computing holomorphic
Yukawa couplings. We apply our methods to various examples and evaluate the
holomorphic Yukawa couplings explicitly as functions of the complex structure
moduli. It is shown that the rank of the Yukawa matrix can decrease at specific
loci in complex structure moduli space. In particular, we compute the up Yukawa
coupling and the singlet-Higgs-lepton trilinear coupling in the heterotic
standard model described in arXiv:1404.2767
| [
{
"created": "Wed, 16 Dec 2015 20:38:21 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2016 05:33:09 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jul 2016 04:36:12 GMT",
"version": "v3"
}
] | 2016-07-21 | [
[
"Blesneag",
"Stefan",
""
],
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Candelas",
"Philip",
""
],
[
"Lukas",
"Andre",
""
]
] | We develop techniques, based on differential geometry, to compute holomorphic Yukawa couplings for heterotic line bundle models on Calabi-Yau manifolds defined as complete intersections in projective spaces. It is shown explicitly how these techniques relate to algebraic methods for computing holomorphic Yukawa couplings. We apply our methods to various examples and evaluate the holomorphic Yukawa couplings explicitly as functions of the complex structure moduli. It is shown that the rank of the Yukawa matrix can decrease at specific loci in complex structure moduli space. In particular, we compute the up Yukawa coupling and the singlet-Higgs-lepton trilinear coupling in the heterotic standard model described in arXiv:1404.2767 |
0904.1241 | Todd Oliynyk | Todd A. Oliynyk | The 2nd order renormalization group flow for non-linear sigma models in
2 dimensions | null | Class. Quantum Grav. 26 (2009) 105020 (8pp) | 10.1088/0264-9381/26/10/105020 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that for two dimensional manifolds M with negative Euler
characteristic there exists subsets of the space of smooth Riemannian metrics
which are invariant and either parabolic or backwards-parabolic for the 2nd
order RG flow. We also show that solutions exists globally on these sets.
Finally, we establish the existence of an eternal solution that has both a UV
and IR limit, and passes through regions where the flow is parabolic and
backwards-parabolic.
| [
{
"created": "Tue, 7 Apr 2009 23:06:53 GMT",
"version": "v1"
}
] | 2009-05-08 | [
[
"Oliynyk",
"Todd A.",
""
]
] | We show that for two dimensional manifolds M with negative Euler characteristic there exists subsets of the space of smooth Riemannian metrics which are invariant and either parabolic or backwards-parabolic for the 2nd order RG flow. We also show that solutions exists globally on these sets. Finally, we establish the existence of an eternal solution that has both a UV and IR limit, and passes through regions where the flow is parabolic and backwards-parabolic. |
2104.03707 | George Barnes | George Barnes, Adrian Padellaro, Sanjaye Ramgoolam | Permutation invariant Gaussian 2-matrix models | 80 pages, 11 figures | null | 10.1088/1751-8121/ac4de1 | QMUL-PH-21-19 | hep-th math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the general permutation invariant Gaussian 2-matrix model for
matrices of arbitrary size $D$. The parameters of the model are given in terms
of variables defined using the representation theory of the symmetric group
$S_D$. A correspondence is established between the permutation invariant
polynomial functions of the matrix variables (the observables of the model) and
directed colored graphs, which sheds light on stability properties in the large
$D$ counting of these invariants. The refined counting of the graphs is given
in terms of double cosets involving permutation groups defined by the local
structure of the graphs. Linear and quadratic observables are transformed to an
$S_D$ representation theoretic basis and are used to define the convergent
Gaussian measure. The perturbative rules for the computation of expectation
values of graph-basis observables of any degree are given in terms of the
representation theoretic parameters. Explicit results for a number of
observables of degree up to four are given along with a Sage programme that
computes general expectation values.
| [
{
"created": "Thu, 8 Apr 2021 11:55:09 GMT",
"version": "v1"
}
] | 2022-03-30 | [
[
"Barnes",
"George",
""
],
[
"Padellaro",
"Adrian",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | We construct the general permutation invariant Gaussian 2-matrix model for matrices of arbitrary size $D$. The parameters of the model are given in terms of variables defined using the representation theory of the symmetric group $S_D$. A correspondence is established between the permutation invariant polynomial functions of the matrix variables (the observables of the model) and directed colored graphs, which sheds light on stability properties in the large $D$ counting of these invariants. The refined counting of the graphs is given in terms of double cosets involving permutation groups defined by the local structure of the graphs. Linear and quadratic observables are transformed to an $S_D$ representation theoretic basis and are used to define the convergent Gaussian measure. The perturbative rules for the computation of expectation values of graph-basis observables of any degree are given in terms of the representation theoretic parameters. Explicit results for a number of observables of degree up to four are given along with a Sage programme that computes general expectation values. |
hep-th/0505169 | Tim Morris | Stefano Arnone, Tim R. Morris, Oliver J. Rosten | Manifestly gauge invariant QED | 32 pages, Diagrams Fixed; version published in JHEP | JHEP 0510 (2005) 115 | 10.1088/1126-6708/2005/10/115 | CERN-PH-TH/2004-123, ROMA - 1399/04, SHEP 04-21 | hep-th | null | We uncover a method of calculation that proceeds at every step without fixing
the gauge or specifying details of the regularisation scheme. Results are
obtained by iterated use of integration by parts and gauge invariance
identities. Calculations can be performed almost entirely diagrammatically. The
method is formulated within the framework of an exact renormalisation group for
QED. We demonstrate the technique with a calculation of the one-loop beta
function, achieving a manifestly universal result, and without gauge fixing.
| [
{
"created": "Wed, 18 May 2005 19:27:04 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 2005 08:15:25 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Nov 2005 10:34:10 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Arnone",
"Stefano",
""
],
[
"Morris",
"Tim R.",
""
],
[
"Rosten",
"Oliver J.",
""
]
] | We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. Calculations can be performed almost entirely diagrammatically. The method is formulated within the framework of an exact renormalisation group for QED. We demonstrate the technique with a calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing. |
1112.2935 | Dmitri Gal'tsov | Dmitri Gal'tsov | Classification of BPS instantons in N=4 D=4 supergravity | Submitted to Proceedings of "Quantum Theory and Symmetries" (QTS-7),
Prague, August 7-13, 2011 | null | 10.1088/1742-6596/343/1/012037 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This talk is based on the recent work in collaboration with M.
Azreg-A\"{\i}nou and G. Cl\'ement devoted to extremal instantons in the
one-vector truncation of the Euclidean $\mathcal{N}=4,\, D=4$ theory. Extremal
solutions satisfying the no-force condition can be associated with null
geodesic curves in the homogeneous target space of the three-dimensional sigma
model arising in toroidal reduction of the four-dimensional theory. Here we
(preliminarily) discuss the case of two vector fields sufficient to find all
relevant metrics in the full $\mathcal{N}=4,\, D=4$ theory. Classification of
instanton solutions is given along the following lines. The first is their
possible asymptotic structure: asymptotically locally flat (ALF),
asymptotically locally Euclidean (ALE) and ALF or ALE with the dilaton growing
at infinity. The second is the algebraic characterization of matrix generators
according to their rank and the nature of the charge vectors in an associated
Lorentzian space. Finally, solutions are distinguished by the number of
independent harmonic functions with unequal charges (up to four).
| [
{
"created": "Tue, 13 Dec 2011 16:07:43 GMT",
"version": "v1"
}
] | 2017-09-07 | [
[
"Gal'tsov",
"Dmitri",
""
]
] | This talk is based on the recent work in collaboration with M. Azreg-A\"{\i}nou and G. Cl\'ement devoted to extremal instantons in the one-vector truncation of the Euclidean $\mathcal{N}=4,\, D=4$ theory. Extremal solutions satisfying the no-force condition can be associated with null geodesic curves in the homogeneous target space of the three-dimensional sigma model arising in toroidal reduction of the four-dimensional theory. Here we (preliminarily) discuss the case of two vector fields sufficient to find all relevant metrics in the full $\mathcal{N}=4,\, D=4$ theory. Classification of instanton solutions is given along the following lines. The first is their possible asymptotic structure: asymptotically locally flat (ALF), asymptotically locally Euclidean (ALE) and ALF or ALE with the dilaton growing at infinity. The second is the algebraic characterization of matrix generators according to their rank and the nature of the charge vectors in an associated Lorentzian space. Finally, solutions are distinguished by the number of independent harmonic functions with unequal charges (up to four). |
hep-th/0605012 | Changhyun Ahn | Changhyun Ahn | Quark-Monopole Potentials from Supersymmetric SL(3,R) Deformed IIB
Supergravity | 12pp; the discussions on (2.8) corrected | Phys.Lett.B641:481-485,2006 | 10.1016/j.physletb.2006.08.073 | null | hep-th | null | We recompute the quark-monopole potential from supersymmetric SL(3,R)
deformation of IIB supergravity background dual to deformed Coulomb branch flow
of the N=4 super Yang-Mills theory. The marginal deformations strengthen the
Coulombic attraction between quarks and monopoles.
| [
{
"created": "Mon, 1 May 2006 11:39:55 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Aug 2006 13:46:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ahn",
"Changhyun",
""
]
] | We recompute the quark-monopole potential from supersymmetric SL(3,R) deformation of IIB supergravity background dual to deformed Coulomb branch flow of the N=4 super Yang-Mills theory. The marginal deformations strengthen the Coulombic attraction between quarks and monopoles. |
hep-th/9406039 | Roberto Soldati | P. Giacconi, S. Ouvry and R. Soldati | Axial Anomaly in the Presence of the Aharonov-Bohm Gauge Field | 15 pages, Plain.TeX, Preprint DFUB/94 - 13 | Phys.Rev. D50 (1994) 5358-5364 | 10.1103/PhysRevD.50.5358 | null | hep-th | null | We investigate on the plane the axial anomaly for euclidean Dirac fermions in
the presence of a background Aharonov--Bohm gauge potential. The non
perturbative analysis depends on the self--adjoint extensions of the Dirac
operator and the result is shown to be influenced by the actual way of
understanding the local axial current. The role of the quantum mechanical
parameters involved in the expression for the axial anomaly is discussed. A
derivation of the effective action by means of the stereographic projection is
also considered.
| [
{
"created": "Wed, 8 Jun 1994 15:45:00 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Giacconi",
"P.",
""
],
[
"Ouvry",
"S.",
""
],
[
"Soldati",
"R.",
""
]
] | We investigate on the plane the axial anomaly for euclidean Dirac fermions in the presence of a background Aharonov--Bohm gauge potential. The non perturbative analysis depends on the self--adjoint extensions of the Dirac operator and the result is shown to be influenced by the actual way of understanding the local axial current. The role of the quantum mechanical parameters involved in the expression for the axial anomaly is discussed. A derivation of the effective action by means of the stereographic projection is also considered. |
2007.07273 | Matteo Baggioli | Matteo Baggioli, Dimitrios Giataganas | Detecting Topological Quantum Phase Transitions via the c-Function | v2: matching the published version in PRD | Phys. Rev. D 103, 026009 (2021) | 10.1103/PhysRevD.103.026009 | IFT-UAM/CSIC-20-96 | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose the c-function as a new and accurate probe to detect the location
of topological quantum critical points. As a direct application, we consider a
holographic model which exhibits a topological quantum phase transition between
a topologically trivial insulating phase and a gapless Weyl semimetal. The
quantum critical point displays a strong Lifshitz-like anisotropy in the
spatial directions and the quantum phase transition does not follow the
standard Landau paradigm. The c-function robustly shows a global feature at the
quantum criticality and distinguishes with great accuracy the two separate zero
temperature phases. Taking into account the relation of the c-function with the
entanglement entropy, we conjecture that our proposal is a general feature of
quantum phase transitions and that is applicable beyond the holographic
framework.
| [
{
"created": "Tue, 14 Jul 2020 18:03:24 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2021 03:38:36 GMT",
"version": "v2"
}
] | 2021-01-20 | [
[
"Baggioli",
"Matteo",
""
],
[
"Giataganas",
"Dimitrios",
""
]
] | We propose the c-function as a new and accurate probe to detect the location of topological quantum critical points. As a direct application, we consider a holographic model which exhibits a topological quantum phase transition between a topologically trivial insulating phase and a gapless Weyl semimetal. The quantum critical point displays a strong Lifshitz-like anisotropy in the spatial directions and the quantum phase transition does not follow the standard Landau paradigm. The c-function robustly shows a global feature at the quantum criticality and distinguishes with great accuracy the two separate zero temperature phases. Taking into account the relation of the c-function with the entanglement entropy, we conjecture that our proposal is a general feature of quantum phase transitions and that is applicable beyond the holographic framework. |
hep-th/0009063 | Ram Brustein | Ram Brustein, David Eichler, Stefano Foffa, David H. Oaknin | The Shortest Scale of Quantum Field Theory | 8 pages. One author added, additional clarifcations and discussions.
Figure removed. Version published in PRD | Phys.Rev. D65 (2002) 105013 | 10.1103/PhysRevD.65.105013 | null | hep-th gr-qc | null | It is suggested that the Minkowski vacuum of quantum field theories of a
large number of fields N would be gravitationally unstable due to strong vacuum
energy fluctuations unless an N dependent sub-Planckian ultraviolet momentum
cutoff is introduced. We estimate this implied cutoff using an effective
quantum theory of massless fields that couple to semi-classical gravity and
find it (assuming that the cosmological constant vanishes) to be bounded by
$M_Planck/N^1/4$. Our bound can be made consistent with entropy bounds and
holography, but does not seem to be equivalent to either, and it relaxes but
does not eliminate the implied bound on N inherent in entropy bounds.
| [
{
"created": "Fri, 8 Sep 2000 18:00:53 GMT",
"version": "v1"
},
{
"created": "Mon, 13 May 2002 10:44:15 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Brustein",
"Ram",
""
],
[
"Eichler",
"David",
""
],
[
"Foffa",
"Stefano",
""
],
[
"Oaknin",
"David H.",
""
]
] | It is suggested that the Minkowski vacuum of quantum field theories of a large number of fields N would be gravitationally unstable due to strong vacuum energy fluctuations unless an N dependent sub-Planckian ultraviolet momentum cutoff is introduced. We estimate this implied cutoff using an effective quantum theory of massless fields that couple to semi-classical gravity and find it (assuming that the cosmological constant vanishes) to be bounded by $M_Planck/N^1/4$. Our bound can be made consistent with entropy bounds and holography, but does not seem to be equivalent to either, and it relaxes but does not eliminate the implied bound on N inherent in entropy bounds. |
hep-th/0412072 | Arutyunov | G. Arutyunov | Quantum Strings and Bethe Equations | Latex, 6 pages, Talk delivered at RTN Workshop on the Quantum
Structure of Space-time and the Geometric Nature of Fundamental Interactions
and EXT Workshop on Fundamental Interactions and the Structure of Spacetime,
Kolymbari, Crete, Greece, 5-10 Sep 2004 | Fortsch.Phys. 53 (2005) 846-851 | 10.1002/prop.200410206 | null | hep-th | null | I briefly review the recently proposed construction of the Bethe ansatz which
diagonalizes the Hamiltonian for quantum strings on AdS_5\times S^5 at large
tension and restricted to the large charge states from a closed su(2)
subsector.
| [
{
"created": "Tue, 7 Dec 2004 16:32:15 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Arutyunov",
"G.",
""
]
] | I briefly review the recently proposed construction of the Bethe ansatz which diagonalizes the Hamiltonian for quantum strings on AdS_5\times S^5 at large tension and restricted to the large charge states from a closed su(2) subsector. |
1005.0164 | Sean Echols | Sean Echols | String Embeddings of the Pentagon | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Pentagon Model is an explicit supersymmetric extension of the Standard
Model, which involves a new strongly-interacting SU(5) gauge theory at
TeV-scale energies. We discuss embeddings of the Pentagon Model into string
theory, specifically N=1 supersymmetric type IIa intersecting D-brane models,
M-theory compactifications of G_2 holonomy, and heterotic orbifold
constructions.
| [
{
"created": "Sun, 2 May 2010 20:19:21 GMT",
"version": "v1"
}
] | 2010-05-04 | [
[
"Echols",
"Sean",
""
]
] | The Pentagon Model is an explicit supersymmetric extension of the Standard Model, which involves a new strongly-interacting SU(5) gauge theory at TeV-scale energies. We discuss embeddings of the Pentagon Model into string theory, specifically N=1 supersymmetric type IIa intersecting D-brane models, M-theory compactifications of G_2 holonomy, and heterotic orbifold constructions. |
hep-th/9802185 | Gregory Moore | Marcos Marino and Gregory Moore | The Donaldson-Witten function for gauge groups of rank larger than one | 58 pages, harvmac b-mode. Important corrections in sections 9.3 and
11.3 | Commun.Math.Phys.199:25-69,1998 | 10.1007/s002200050494 | YCTP-P3-98 | hep-th | null | We study correlation functions in topologically twisted $\mathcal{N}=2, d=4$
supersymmetric Yang-Mills theory for gauge groups of rank larger than one on
compact four-manifolds $X$. We find that the topological invariance of the
generator of correlation functions of BRST invariant observables is not spoiled
by noncompactness of field space. We show how to express the correlators on
simply connected manifolds of $b_{2,+}(X)>0$ in terms of Seiberg-Witten
invariants and the classical cohomology ring of $X$. For manifolds $X$ of
simple type and gauge group SU(N) we give explicit expressions of the
correlators as a sum over $\mathcal{N}=1$ vacua. We describe two applications
of our expressions, one to superconformal field theory and one to large $N$
expansions of SU(N) $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory.
| [
{
"created": "Thu, 26 Feb 1998 03:01:45 GMT",
"version": "v1"
},
{
"created": "Sun, 3 May 1998 18:10:37 GMT",
"version": "v2"
}
] | 2017-09-07 | [
[
"Marino",
"Marcos",
""
],
[
"Moore",
"Gregory",
""
]
] | We study correlation functions in topologically twisted $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory for gauge groups of rank larger than one on compact four-manifolds $X$. We find that the topological invariance of the generator of correlation functions of BRST invariant observables is not spoiled by noncompactness of field space. We show how to express the correlators on simply connected manifolds of $b_{2,+}(X)>0$ in terms of Seiberg-Witten invariants and the classical cohomology ring of $X$. For manifolds $X$ of simple type and gauge group SU(N) we give explicit expressions of the correlators as a sum over $\mathcal{N}=1$ vacua. We describe two applications of our expressions, one to superconformal field theory and one to large $N$ expansions of SU(N) $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory. |
hep-th/0211264 | Frederic P. Schuller | Frederic P. Schuller, Mattias N.R. Wohlfarth (DAMTP, Cambridge), and
Thomas W. Grimm (Hamburg) | Pauli-Villars regularisation and Born-Infeld kinematics | 19 pages, 1 diagram. Journal version. Class. Quant. Grav. (to appear) | Class.Quant.Grav. 20 (2003) 4269-4284 | 10.1088/0264-9381/20/19/309 | DAMTP-2002-145 | hep-th | null | Dynamical symmetries of Born-Infeld theory can be absorbed into the spacetime
geometry, giving rise to relativistic kinematics with an additional invariant
acceleration scale. The standard Poincare group P is thereby enhanced to its
pseudo-complexified version, which is isomorphic to P x P. We construct the
irreducible representations of this group, which yields the particle spectrum
of a relativistic quantum theory that respects a maximal acceleration. It is
found that each standard relativistic particle is associated with a
`pseudo'-partner of equal spin but generically different mass. These
pseudo-partners act as Pauli-Villars regulators for the other member of the
doublet, as is found from the explicit construction of quantum field theory on
pseudo-complex spacetime. Conversely, a Pauli-Villars regularised quantum field
theory on real spacetime possesses a field phase space with integrable
pseudo-complex structure, which gives rise to a quantum field theory on
pseudo-complex spacetime.
This equivalence between maximal acceleration kinematics, pseudo-complex
quantum field theory, and Pauli-Villars regularisation rigorously establishes a
conjecture on the regularising property of the maximal acceleration principle
in quantum field theory, by Nesterenko, Feoli, Lambiase and Scarpetta.
| [
{
"created": "Wed, 27 Nov 2002 19:22:58 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 2003 18:06:07 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Schuller",
"Frederic P.",
"",
"DAMTP, Cambridge"
],
[
"Wohlfarth",
"Mattias N. R.",
"",
"DAMTP, Cambridge"
],
[
"Grimm",
"Thomas W.",
"",
"Hamburg"
]
] | Dynamical symmetries of Born-Infeld theory can be absorbed into the spacetime geometry, giving rise to relativistic kinematics with an additional invariant acceleration scale. The standard Poincare group P is thereby enhanced to its pseudo-complexified version, which is isomorphic to P x P. We construct the irreducible representations of this group, which yields the particle spectrum of a relativistic quantum theory that respects a maximal acceleration. It is found that each standard relativistic particle is associated with a `pseudo'-partner of equal spin but generically different mass. These pseudo-partners act as Pauli-Villars regulators for the other member of the doublet, as is found from the explicit construction of quantum field theory on pseudo-complex spacetime. Conversely, a Pauli-Villars regularised quantum field theory on real spacetime possesses a field phase space with integrable pseudo-complex structure, which gives rise to a quantum field theory on pseudo-complex spacetime. This equivalence between maximal acceleration kinematics, pseudo-complex quantum field theory, and Pauli-Villars regularisation rigorously establishes a conjecture on the regularising property of the maximal acceleration principle in quantum field theory, by Nesterenko, Feoli, Lambiase and Scarpetta. |
1112.1085 | Nobuyuki Sawado | L. A. Ferreira, J. J\"aykk\"a, Nobuyuki Sawado, Kouichi Toda | Vortices in the extended Skyrme-Faddeev model | 26 pages, 9 figures; matches published version | Phys. Rev. D 85, 105006 (2012) | 10.1103/PhysRevD.85.105006 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct analytical and numerical vortex solutions for an extended
Skyrme-Faddeev model in a $(3+1)$ dimensional Minkowski space-time. The
extension is obtained by adding to the Lagrangian a quartic term, which is the
square of the kinetic term, and a potential which breaks the SO(3) symmetry
down to SO(2). The construction makes use of an ansatz, invariant under the
joint action of the internal SO(2) and three commuting U(1) subgroups of the
Poincar\'e group, and which reduces the equations of motion to an ODE for a
profile function depending on the distance to the $x^3$-axis. The vortices have
finite energy per unit length, and have waves propagating along them with the
speed of light. The analytical vortices are obtained for special choice of
potentials, and the numerical ones are constructed using the Successive Over
Relaxation method for more general potentials. The spectrum of solutions is
analyzed in detail, specially its dependence upon special combinations of
coupling constants.
| [
{
"created": "Mon, 5 Dec 2011 21:06:11 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2012 10:07:28 GMT",
"version": "v2"
}
] | 2015-03-19 | [
[
"Ferreira",
"L. A.",
""
],
[
"Jäykkä",
"J.",
""
],
[
"Sawado",
"Nobuyuki",
""
],
[
"Toda",
"Kouichi",
""
]
] | We construct analytical and numerical vortex solutions for an extended Skyrme-Faddeev model in a $(3+1)$ dimensional Minkowski space-time. The extension is obtained by adding to the Lagrangian a quartic term, which is the square of the kinetic term, and a potential which breaks the SO(3) symmetry down to SO(2). The construction makes use of an ansatz, invariant under the joint action of the internal SO(2) and three commuting U(1) subgroups of the Poincar\'e group, and which reduces the equations of motion to an ODE for a profile function depending on the distance to the $x^3$-axis. The vortices have finite energy per unit length, and have waves propagating along them with the speed of light. The analytical vortices are obtained for special choice of potentials, and the numerical ones are constructed using the Successive Over Relaxation method for more general potentials. The spectrum of solutions is analyzed in detail, specially its dependence upon special combinations of coupling constants. |
hep-th/9911001 | Marcus Spradlin | Alexander Maloney, Marcus Spradlin and Andrew Strominger | Superconformal Multi-Black Hole Moduli Spaces in Four Dimensions | 23 pages, harvmac. v2: many typos fixed | JHEP 0204:003,2002 | 10.1088/1126-6708/2002/04/003 | HUTP-99/A055 | hep-th | null | Quantum mechanics on the moduli space of N supersymmetric Reissner-Nordstrom
black holes is shown to admit 4 supersymmetries using an unconventional
supermultiplet which contains 3N bosons and 4N fermions. A near-horizon limit
is found in which the quantum mechanics of widely separated black holes
decouples from that of strongly-interacting, near-coincident black holes. This
near-horizon theory is shown to have an enhanced D(2,1;0) superconformal
symmetry. The bosonic symmetries are SL(2,R) conformal symmetry and SU(2)xSU(2)
R-symmetry arising from spatial rotations and the R-symmetry of N=2
supergravity.
| [
{
"created": "Tue, 2 Nov 1999 00:19:22 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2002 22:02:33 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Maloney",
"Alexander",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Strominger",
"Andrew",
""
]
] | Quantum mechanics on the moduli space of N supersymmetric Reissner-Nordstrom black holes is shown to admit 4 supersymmetries using an unconventional supermultiplet which contains 3N bosons and 4N fermions. A near-horizon limit is found in which the quantum mechanics of widely separated black holes decouples from that of strongly-interacting, near-coincident black holes. This near-horizon theory is shown to have an enhanced D(2,1;0) superconformal symmetry. The bosonic symmetries are SL(2,R) conformal symmetry and SU(2)xSU(2) R-symmetry arising from spatial rotations and the R-symmetry of N=2 supergravity. |
2212.11480 | Ranveer Kumar Singh | Nabamita Banerjee, Tabasum Rahnuma, Ranveer Kumar Singh | Soft and Collinear Limits in $\mathcal{N}=8$ Supergravity using Double
Copy Formalism | 49 pages, to appear in JHEP | null | 10.1007/JHEP04(2023)126 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | It is known that $\mathcal{N}=8$ supergravity is dual to $\mathcal{N}=4$
super Yang-Mills (SYM) via the double copy relation. Using the explicit
relation between scattering amplitudes in the two theories, we calculate the
soft and collinear limits in $\mathcal{N}=8$ supergravity from know results in
$\mathcal{N}=4$ SYM. In our application of double copy, a particular
self-duality condition is chosen for scalars that allows us to constrain and
determine the R-symmetry indices of the supergravity states in the collinear
limit.
| [
{
"created": "Thu, 22 Dec 2022 04:40:46 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Apr 2023 20:59:33 GMT",
"version": "v2"
}
] | 2023-05-17 | [
[
"Banerjee",
"Nabamita",
""
],
[
"Rahnuma",
"Tabasum",
""
],
[
"Singh",
"Ranveer Kumar",
""
]
] | It is known that $\mathcal{N}=8$ supergravity is dual to $\mathcal{N}=4$ super Yang-Mills (SYM) via the double copy relation. Using the explicit relation between scattering amplitudes in the two theories, we calculate the soft and collinear limits in $\mathcal{N}=8$ supergravity from know results in $\mathcal{N}=4$ SYM. In our application of double copy, a particular self-duality condition is chosen for scalars that allows us to constrain and determine the R-symmetry indices of the supergravity states in the collinear limit. |
1812.04683 | Thomas Faulkner | Fikret Ceyhan and Thomas Faulkner | Recovering the QNEC from the ANEC | 41 pages + an appendix, 4 figures, v2: typos fixed | null | null | null | hep-th math.OA quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study relative entropy in QFT, comparing the vacuum state to a special
family of purifications determined by an input state and constructed using
relative modular flow. We use this to prove a conjecture by Wall that relates
the shape derivative of relative entropy to a variational expression over the
averaged null energy of possible purifications. This variational expression can
be used to easily prove the quantum null energy condition. We formulate Wall's
conjecture as a theorem pertaining to operator algebras satisfying the
properties of a half-sided modular inclusion, with the additional assumption
that the input state has finite averaged null energy. We also give a new
derivation of the strong superadditivity property of relative entropy in this
context. We speculate about possible connections to the recent methods used to
strengthen monotonicity of relative entropy with recovery maps.
| [
{
"created": "Tue, 11 Dec 2018 20:49:07 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Mar 2019 03:54:40 GMT",
"version": "v2"
}
] | 2019-03-22 | [
[
"Ceyhan",
"Fikret",
""
],
[
"Faulkner",
"Thomas",
""
]
] | We study relative entropy in QFT, comparing the vacuum state to a special family of purifications determined by an input state and constructed using relative modular flow. We use this to prove a conjecture by Wall that relates the shape derivative of relative entropy to a variational expression over the averaged null energy of possible purifications. This variational expression can be used to easily prove the quantum null energy condition. We formulate Wall's conjecture as a theorem pertaining to operator algebras satisfying the properties of a half-sided modular inclusion, with the additional assumption that the input state has finite averaged null energy. We also give a new derivation of the strong superadditivity property of relative entropy in this context. We speculate about possible connections to the recent methods used to strengthen monotonicity of relative entropy with recovery maps. |
1712.07017 | Amir-Kian Kashani-Poor | Michele Del Zotto, Jie Gu, Min-xin Huang, Amir-Kian Kashani-Poor,
Albrecht Klemm, Guglielmo Lockhart | Topological Strings on Singular Elliptic Calabi-Yau 3-folds and Minimal
6d SCFTs | 67 pages; v2 typos corrected, references added | null | 10.1007/JHEP03(2018)156 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the modular approach to computing the topological string partition
function on non-compact elliptically fibered Calabi-Yau 3-folds with higher
Kodaira singularities in the fiber. The approach consists in making an ansatz
for the partition function at given base degree, exact in all fiber classes to
arbitrary order and to all genus, in terms of a rational function of weak
Jacobi forms. Our results yield, at given base degree, the elliptic genus of
the corresponding non-critical 6d string, and thus the associated BPS
invariants of the 6d theory. The required elliptic indices are determined from
the chiral anomaly 4-form of the 2d worldsheet theories, or the 8-form of the
corresponding 6d theories, and completely fix the holomorphic anomaly equation
constraining the partition function. We introduce subrings of the known rings
of Weyl invariant Jacobi forms which are adapted to the additional symmetries
of the partition function, making its computation feasible to low base wrapping
number. In contradistinction to the case of simpler singularities, generic
vanishing conditions on BPS numbers are no longer sufficient to fix the modular
ansatz at arbitrary base wrapping degree. We show that to low degree, imposing
exact vanishing conditions does suffice, and conjecture this to be the case
generally.
| [
{
"created": "Tue, 19 Dec 2017 16:04:50 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jul 2018 13:38:11 GMT",
"version": "v2"
}
] | 2018-07-16 | [
[
"Del Zotto",
"Michele",
""
],
[
"Gu",
"Jie",
""
],
[
"Huang",
"Min-xin",
""
],
[
"Kashani-Poor",
"Amir-Kian",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Lockhart",
"Guglielmo",
""
]
] | We apply the modular approach to computing the topological string partition function on non-compact elliptically fibered Calabi-Yau 3-folds with higher Kodaira singularities in the fiber. The approach consists in making an ansatz for the partition function at given base degree, exact in all fiber classes to arbitrary order and to all genus, in terms of a rational function of weak Jacobi forms. Our results yield, at given base degree, the elliptic genus of the corresponding non-critical 6d string, and thus the associated BPS invariants of the 6d theory. The required elliptic indices are determined from the chiral anomaly 4-form of the 2d worldsheet theories, or the 8-form of the corresponding 6d theories, and completely fix the holomorphic anomaly equation constraining the partition function. We introduce subrings of the known rings of Weyl invariant Jacobi forms which are adapted to the additional symmetries of the partition function, making its computation feasible to low base wrapping number. In contradistinction to the case of simpler singularities, generic vanishing conditions on BPS numbers are no longer sufficient to fix the modular ansatz at arbitrary base wrapping degree. We show that to low degree, imposing exact vanishing conditions does suffice, and conjecture this to be the case generally. |
1107.3836 | Matthew Lippert | Niko Jokela, Matti Jarvinen, and Matthew Lippert | Fluctuations of a holographic quantum Hall fluid | 20 pages, 8 figures; v.2 figures improved, 2 figures added, and text
clarified particularly in Sec. 5, to appear in JHEP | JHEP 01 (2012) 072 | 10.1007/JHEP01(2012)072 | CCTP-2011-19 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the neutral spectrum of the holographic quantum Hall fluid
described by the D2-D8' model. As expected for a quantum Hall state, we find
the system to be stable and gapped and that, at least over much of the
parameter space, the lowest excitation mode is a magneto-roton. In addition, we
find magneto-rotons in higher modes as well. We show that these magneto-rotons
are direct consequences of level crossings between vector and scalar modes.
| [
{
"created": "Tue, 19 Jul 2011 20:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jan 2012 11:24:31 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Lippert",
"Matthew",
""
]
] | We analyze the neutral spectrum of the holographic quantum Hall fluid described by the D2-D8' model. As expected for a quantum Hall state, we find the system to be stable and gapped and that, at least over much of the parameter space, the lowest excitation mode is a magneto-roton. In addition, we find magneto-rotons in higher modes as well. We show that these magneto-rotons are direct consequences of level crossings between vector and scalar modes. |
0907.5593 | Samuel Friot | Samuel Friot, David Greynat | Non-Perturbative Asymptotic Improvement of Perturbation Theory and
Mellin-Barnes Representation | v2: one reference added, one paragraph added in the conclusions,
small changes in the text, corrected typos; v3: published version | SIGMA 6:079,2010 | 10.3842/SIGMA.2010.079 | null | hep-th hep-ph math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Using a method mixing Mellin-Barnes representation and Borel resummation we
show how to obtain hyperasymptotic expansions from the (divergent) formal power
series which follow from the perturbative evaluation of arbitrary "$N$-point"
functions for the simple case of zero-dimensional $\phi^4$ field theory. This
hyperasymptotic improvement appears from an iterative procedure, based on
inverse factorial expansions, and gives birth to interwoven non-perturbative
partial sums whose coefficients are related to the perturbative ones by an
interesting resurgence phenomenon. It is a non-perturbative improvement in the
sense that, for some optimal truncations of the partial sums, the remainder at
a given hyperasymptotic level is exponentially suppressed compared to the
remainder at the preceding hyperasymptotic level. The Mellin-Barnes
representation allows our results to be automatically valid for a wide range of
the phase of the complex coupling constant, including Stokes lines. A numerical
analysis is performed to emphasize the improved accuracy that this method
allows to reach compared to the usual perturbative approach, and the importance
of hyperasymptotic optimal truncation schemes.
| [
{
"created": "Fri, 31 Jul 2009 18:51:59 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2009 14:05:03 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Oct 2010 06:24:49 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Friot",
"Samuel",
""
],
[
"Greynat",
"David",
""
]
] | Using a method mixing Mellin-Barnes representation and Borel resummation we show how to obtain hyperasymptotic expansions from the (divergent) formal power series which follow from the perturbative evaluation of arbitrary "$N$-point" functions for the simple case of zero-dimensional $\phi^4$ field theory. This hyperasymptotic improvement appears from an iterative procedure, based on inverse factorial expansions, and gives birth to interwoven non-perturbative partial sums whose coefficients are related to the perturbative ones by an interesting resurgence phenomenon. It is a non-perturbative improvement in the sense that, for some optimal truncations of the partial sums, the remainder at a given hyperasymptotic level is exponentially suppressed compared to the remainder at the preceding hyperasymptotic level. The Mellin-Barnes representation allows our results to be automatically valid for a wide range of the phase of the complex coupling constant, including Stokes lines. A numerical analysis is performed to emphasize the improved accuracy that this method allows to reach compared to the usual perturbative approach, and the importance of hyperasymptotic optimal truncation schemes. |
hep-th/9407008 | Andy Strominger | Joseph Polchinski and Andrew Strominger | A Possible Resolution of the Black Hole Information Puzzle | 15 pages, 3 uuencoded figures. Revised version contains some
notational simplifications | Phys.Rev.D50:7403-7409,1994 | 10.1103/PhysRevD.50.7403 | UCSBTH-94-20 | hep-th gr-qc | null | The problem of information loss is considered under the assumption that the
process of black hole evaporation terminates in the decay of the black hole
interior into a baby universe. We show that such theories can be decomposed
into superselection sectors labeled by eigenvalues of the third-quantized baby
universe field operator, and that scattering is unitary within each
superselection sector. This result relies crucially on the quantum-mechanical
variability of the decay time. It is further argued that the decay rate in the
black hole rest frame is necessarily proportional to $e^{-S_{tot}}$, where
$S_{tot}$ is the total entropy produced during the evaporation process,
entailing a very long-lived remnant.
| [
{
"created": "Sat, 2 Jul 1994 00:05:16 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Aug 1994 18:52:36 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Polchinski",
"Joseph",
""
],
[
"Strominger",
"Andrew",
""
]
] | The problem of information loss is considered under the assumption that the process of black hole evaporation terminates in the decay of the black hole interior into a baby universe. We show that such theories can be decomposed into superselection sectors labeled by eigenvalues of the third-quantized baby universe field operator, and that scattering is unitary within each superselection sector. This result relies crucially on the quantum-mechanical variability of the decay time. It is further argued that the decay rate in the black hole rest frame is necessarily proportional to $e^{-S_{tot}}$, where $S_{tot}$ is the total entropy produced during the evaporation process, entailing a very long-lived remnant. |
1402.5962 | James Halverson | Antonella Grassi, James Halverson, Julius L. Shaneson | Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-theory | 30 pages. v2: Updated codes, added references, and discussed how
local deformation can be utilized even when a global deformation does not
exist (the case of non-Higgsable clusters). v3: final version, published in
Communications in Mathematical Physics | null | 10.1007/s00220-015-2313-0 | NSF-KITP-14-010 | hep-th math.AG math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Singular fiber resolution does not describe the spontaneous breaking of gauge
symmetry in F-theory, as the corresponding branch of the moduli space does not
exist in the theory. Accordingly, even non-abelian gauge theories have not been
fully understood in global F-theory compactifications. We present a systematic
discussion of using singularity deformation, which does describe the
spontaneous breaking of gauge symmetry in F-theory, to study non-abelian gauge
symmetry. Since this branch of the moduli space also exists in the defining
M-theory compactification, it provides the only known description of gauge
theory states which exists in both pictures; they are string junctions in
F-theory. We discuss how global deformations give rise to local deformations,
and also give examples where local deformation can be utilized even in models
where a global deformation does not exist. Utilizing deformations, we study a
number of new examples, including non-perturbative descriptions of $SU(3)$ and
$SU(2)$ gauge theories on seven-branes which do not admit a weakly coupled type
IIb description. It may be of phenomenological interest that these
non-perturbative descriptions do not exist for higher rank $SU(N)$ theories.
| [
{
"created": "Mon, 24 Feb 2014 21:00:10 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Apr 2014 00:53:42 GMT",
"version": "v2"
},
{
"created": "Sat, 6 Dec 2014 21:59:27 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Grassi",
"Antonella",
""
],
[
"Halverson",
"James",
""
],
[
"Shaneson",
"Julius L.",
""
]
] | Singular fiber resolution does not describe the spontaneous breaking of gauge symmetry in F-theory, as the corresponding branch of the moduli space does not exist in the theory. Accordingly, even non-abelian gauge theories have not been fully understood in global F-theory compactifications. We present a systematic discussion of using singularity deformation, which does describe the spontaneous breaking of gauge symmetry in F-theory, to study non-abelian gauge symmetry. Since this branch of the moduli space also exists in the defining M-theory compactification, it provides the only known description of gauge theory states which exists in both pictures; they are string junctions in F-theory. We discuss how global deformations give rise to local deformations, and also give examples where local deformation can be utilized even in models where a global deformation does not exist. Utilizing deformations, we study a number of new examples, including non-perturbative descriptions of $SU(3)$ and $SU(2)$ gauge theories on seven-branes which do not admit a weakly coupled type IIb description. It may be of phenomenological interest that these non-perturbative descriptions do not exist for higher rank $SU(N)$ theories. |
hep-th/0610290 | Vit Jakubsky | V. Jakubsky, J. Smejkal | A Positive-Definite Scalar Product for Free Proca Particle | 13 pages, no figures | Czech.J.Phys.56:985,2006 | 10.1007/s10582-006-0394-x | null | hep-th | null | We implement recent results of pseudo-Hermitian quantum mechanics to
description of relativistic massive particle with spin-one. We derive a
one-parameter family of Lorentz invariant positive-definite scalar products on
the space of solutions of Proca equation.
| [
{
"created": "Fri, 27 Oct 2006 09:13:00 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Jakubsky",
"V.",
""
],
[
"Smejkal",
"J.",
""
]
] | We implement recent results of pseudo-Hermitian quantum mechanics to description of relativistic massive particle with spin-one. We derive a one-parameter family of Lorentz invariant positive-definite scalar products on the space of solutions of Proca equation. |
1602.06354 | Abhijit Gadde | Abhijit Gadde | Conformal constraints on defects | 23 pages, 6 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the constraints imposed by conformal invariance on
extended objects a.k.a defects in a conformal field theory. We identify a
particularly nice class of defects that is closed under conformal
transformations. Correlation function of the defect with a bulk local operator
is fixed by conformal invariance up to an overall constant. This gives rise to
the notion of defect expansion, where the defect itself is expanded in terms of
local operators. This expansion generalizes the idea of the boundary state. We
will show how one can fix the correlation function of two defects from the
knowledge of the defect expansion. The defect correlator admits a number of
conformal cross-ratios depending on their dimensionality. We find the
differential equation obeyed by the conformal block and solve them in certain
special cases.
| [
{
"created": "Sat, 20 Feb 2016 01:44:53 GMT",
"version": "v1"
}
] | 2016-02-23 | [
[
"Gadde",
"Abhijit",
""
]
] | In this paper we study the constraints imposed by conformal invariance on extended objects a.k.a defects in a conformal field theory. We identify a particularly nice class of defects that is closed under conformal transformations. Correlation function of the defect with a bulk local operator is fixed by conformal invariance up to an overall constant. This gives rise to the notion of defect expansion, where the defect itself is expanded in terms of local operators. This expansion generalizes the idea of the boundary state. We will show how one can fix the correlation function of two defects from the knowledge of the defect expansion. The defect correlator admits a number of conformal cross-ratios depending on their dimensionality. We find the differential equation obeyed by the conformal block and solve them in certain special cases. |
2008.03852 | Kevin Slagle | Kevin Slagle | Foliated Quantum Field Theory of Fracton Order | 5+9 pages, 2+2 figures; v5 adds footnote 6 and corrects equations C2
and C5 | Phys. Rev. Lett. 126, 101603 (2021) | 10.1103/PhysRevLett.126.101603 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new kind of foliated quantum field theory (FQFT) of gapped
fracton orders in the continuum. FQFT is defined on a manifold with a layered
structure given by one or more foliations, which each decompose spacetime into
a stack of layers. FQFT involves a new kind of gauge field, a foliated gauge
field, which behaves similar to a collection of independent gauge fields on
this stack of layers. Gauge invariant operators (and their analogous particle
mobilities) are constrained to the intersection of one or more layers from
different foliations. The level coefficients are quantized and exhibit a
duality that spatially transforms the coefficients. This duality occurs because
the FQFT is a foliated fracton order. That is, the duality can decouple 2+1D
gauge theories from the FQFT through a process we dub exfoliation.
| [
{
"created": "Mon, 10 Aug 2020 01:24:15 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Aug 2020 16:49:54 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Aug 2020 18:17:51 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Dec 2020 04:53:03 GMT",
"version": "v4"
},
{
"cr... | 2021-03-16 | [
[
"Slagle",
"Kevin",
""
]
] | We introduce a new kind of foliated quantum field theory (FQFT) of gapped fracton orders in the continuum. FQFT is defined on a manifold with a layered structure given by one or more foliations, which each decompose spacetime into a stack of layers. FQFT involves a new kind of gauge field, a foliated gauge field, which behaves similar to a collection of independent gauge fields on this stack of layers. Gauge invariant operators (and their analogous particle mobilities) are constrained to the intersection of one or more layers from different foliations. The level coefficients are quantized and exhibit a duality that spatially transforms the coefficients. This duality occurs because the FQFT is a foliated fracton order. That is, the duality can decouple 2+1D gauge theories from the FQFT through a process we dub exfoliation. |
2403.13968 | Wasif Ahmed | Wasif Ahmed and Ashton Lowenstein | Perturbative Unorientable JT Gravity and Matrix Models | 36 pages, 7 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider an orthogonal polynomial formulation of the double scaling limit
of multicritical matrix models in the $\beta=1$ Dyson-Wigner class. They
capture the physics of 2D quantum gravity coupled to minimal matter on
unorientable surfaces, otherwise called unoriented minimal strings. We derive a
formula for the density of states valid to all orders in perturbation theory.
We show how to define an interpolation between the multicritical models and
that a certain interpolation among an infinite number of them provides an
alternative definition of unoriented JT gravity. We discuss the strengths and
weaknesses of our formulation.
| [
{
"created": "Wed, 20 Mar 2024 20:45:05 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2024 01:25:28 GMT",
"version": "v2"
}
] | 2024-05-31 | [
[
"Ahmed",
"Wasif",
""
],
[
"Lowenstein",
"Ashton",
""
]
] | We consider an orthogonal polynomial formulation of the double scaling limit of multicritical matrix models in the $\beta=1$ Dyson-Wigner class. They capture the physics of 2D quantum gravity coupled to minimal matter on unorientable surfaces, otherwise called unoriented minimal strings. We derive a formula for the density of states valid to all orders in perturbation theory. We show how to define an interpolation between the multicritical models and that a certain interpolation among an infinite number of them provides an alternative definition of unoriented JT gravity. We discuss the strengths and weaknesses of our formulation. |
hep-th/9812112 | D. V. Antonov | Dmitri Antonov and Dietmar Ebert (Humboldt University, Berlin) | Confining Properties of Abelian(-Projected) Theories | 18 pages, LaTeX2e, no figures | Eur.Phys.J.C12:349-359,2000 | 10.1007/s100529900075 | HUB-EP-98/73 | hep-th | null | Representations of the Abelian-projected SU(2)- and SU(3)-gluodynamics in
terms of the magnetic monopole currents are derived. Besides the quadratic
part, the obtained effective actions contain interactions of these currents
with the world-sheets of electric strings in 4D or electric vortex lines in 3D.
Next, we illustrate that 3D compact QED is a small gauge boson mass limit of 3D
Abelian Higgs model with external monopoles and give a physical interpretation
to the confining string theory as the integral over the monopole densities.
Finally, we derive the bilocal field strength correlator in the weak-field
limit of 3D compact QED, which turns out to be in line with the one predicted
by the Stochastic Vacuum Model.
| [
{
"created": "Mon, 14 Dec 1998 17:02:35 GMT",
"version": "v1"
}
] | 2010-05-27 | [
[
"Antonov",
"Dmitri",
"",
"Humboldt University, Berlin"
],
[
"Ebert",
"Dietmar",
"",
"Humboldt University, Berlin"
]
] | Representations of the Abelian-projected SU(2)- and SU(3)-gluodynamics in terms of the magnetic monopole currents are derived. Besides the quadratic part, the obtained effective actions contain interactions of these currents with the world-sheets of electric strings in 4D or electric vortex lines in 3D. Next, we illustrate that 3D compact QED is a small gauge boson mass limit of 3D Abelian Higgs model with external monopoles and give a physical interpretation to the confining string theory as the integral over the monopole densities. Finally, we derive the bilocal field strength correlator in the weak-field limit of 3D compact QED, which turns out to be in line with the one predicted by the Stochastic Vacuum Model. |
1702.00319 | Mikhail M. Ivanov | John F. Donoghue, Mikhail M. Ivanov and Andrey Shkerin | EPFL Lectures on General Relativity as a Quantum Field Theory | 70 pages | null | null | INR-TH-2017-001 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes are an introduction to General Relativity as a Quantum Effective
Field Theory, following the material given in a short course on the subject at
EPFL. The intent is to develop General Relativity starting from a quantum field
theoretic viewpoint, and to introduce some of the techniques needed to
understand the subject.
| [
{
"created": "Wed, 1 Feb 2017 15:34:32 GMT",
"version": "v1"
}
] | 2017-02-02 | [
[
"Donoghue",
"John F.",
""
],
[
"Ivanov",
"Mikhail M.",
""
],
[
"Shkerin",
"Andrey",
""
]
] | These notes are an introduction to General Relativity as a Quantum Effective Field Theory, following the material given in a short course on the subject at EPFL. The intent is to develop General Relativity starting from a quantum field theoretic viewpoint, and to introduce some of the techniques needed to understand the subject. |
1307.3534 | Oliver Schlotterer | Michael B. Green, Carlos R. Mafra, Oliver Schlotterer | Multiparticle one-loop amplitudes and S-duality in closed superstring
theory | 62 pages, Mathematica notebook on integral expansion included in
submission. v2: minor modifications, references added, matches published
version | null | 10.1007/JHEP10(2013)188 | AEI-2013-219, DAMTP-2013-33 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Explicit expressions for one-loop five supergraviton scattering amplitudes in
both type II superstring theories are determined by making use of the pure
spinor formalism. The type IIB amplitude can be expressed in terms of a
doubling of ten-dimensional super Yang--Mills tree amplitude, while the type
IIA amplitude has additional pieces that cannot be expressed in that manner. We
evaluate the coefficients of terms in the analytic part of the low energy
expansion of the amplitude, which correspond to a series of terms in an
effective action of the schematic form D^{2k}R^5 for 0\le k \le 5 (where R is
the Riemann curvature). Comparison with earlier analyses of the tree amplitudes
and of the four-particle one-loop amplitude leads to an interesting extension
of the action of SL(2,Z) S-duality on the moduli-dependent coefficients in the
type IIB theory. We also investigate closed-string five-particle amplitudes
that violate conservation of the U(1) R-symmetry charge -- processes that are
forbidden in supergravity. The coefficients of their low energy expansion are
shown to agree with S-duality systematics. A less detailed analysis is also
given of the six-point function, resulting in the vanishing of the analytic
parts of the R^6 and D^4 R^6 interactions in the ten-dimensional effective
action, but not in lower dimensions.
| [
{
"created": "Fri, 12 Jul 2013 18:25:40 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Sep 2013 08:54:54 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Green",
"Michael B.",
""
],
[
"Mafra",
"Carlos R.",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | Explicit expressions for one-loop five supergraviton scattering amplitudes in both type II superstring theories are determined by making use of the pure spinor formalism. The type IIB amplitude can be expressed in terms of a doubling of ten-dimensional super Yang--Mills tree amplitude, while the type IIA amplitude has additional pieces that cannot be expressed in that manner. We evaluate the coefficients of terms in the analytic part of the low energy expansion of the amplitude, which correspond to a series of terms in an effective action of the schematic form D^{2k}R^5 for 0\le k \le 5 (where R is the Riemann curvature). Comparison with earlier analyses of the tree amplitudes and of the four-particle one-loop amplitude leads to an interesting extension of the action of SL(2,Z) S-duality on the moduli-dependent coefficients in the type IIB theory. We also investigate closed-string five-particle amplitudes that violate conservation of the U(1) R-symmetry charge -- processes that are forbidden in supergravity. The coefficients of their low energy expansion are shown to agree with S-duality systematics. A less detailed analysis is also given of the six-point function, resulting in the vanishing of the analytic parts of the R^6 and D^4 R^6 interactions in the ten-dimensional effective action, but not in lower dimensions. |
hep-th/0601198 | Abdelghani Aidaoui hadj | A. Aidaoui and M. Tahiri | Off-shell BRST-VSUSY superalgebra for D=4 BF theories in the
superconnection formalism | Latex, 13 pages, no figures, comments and references added | Commun.Theor.Phys.48:309-312,2007 | 10.1088/0253-6102/48/2/021 | null | hep-th | null | We propose the superconnection formalism to construct the off-shell
BRST-VSUSY superalgebra for D=4 BF theories. The method is based on the natural
introduction of physical fields as well as auxiliary fields via
superconnections and their associated supercurvatures defined on a superspace.
We also give a prescription to build the off-shell BRST-VSUSY exact quantum
action.
| [
{
"created": "Thu, 26 Jan 2006 20:00:24 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jan 2006 20:26:25 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jul 2006 21:21:37 GMT",
"version": "v3"
}
] | 2009-03-19 | [
[
"Aidaoui",
"A.",
""
],
[
"Tahiri",
"M.",
""
]
] | We propose the superconnection formalism to construct the off-shell BRST-VSUSY superalgebra for D=4 BF theories. The method is based on the natural introduction of physical fields as well as auxiliary fields via superconnections and their associated supercurvatures defined on a superspace. We also give a prescription to build the off-shell BRST-VSUSY exact quantum action. |
hep-th/0401222 | Nicola Khuri N. | N.N. Khuri, Andre Martin, Pierre C. Sabatier and Tai Tsun Wu | Universality of Low-Energy Scattering in 2+1 Dimensions: The Non
Symmetric Case | 65 pages, Latex, significant changes, new sections and appendices | J.Math.Phys. 46 (2005) 032103; Erratum-ibid. 46 (2005) 129901 | 10.1063/1.1843274 | null | hep-th | null | For a very large class of potentials, $V(\vec{x})$, $\vec{x}\in R^2$, we
prove the universality of the low energy scattering amplitude, $f(\vec{k}',
\vec{k})$. The result is $f=\sqrt{\frac{\pi}{2}}\{1/log k)+O(1/(log k)^2)$. The
only exceptions occur if $V$ happens to have a zero energy bound state. Our new
result includes as a special subclass the case of rotationally symmetric
potentials, $V(|\vec{x}|)$.
| [
{
"created": "Wed, 28 Jan 2004 16:14:20 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Sep 2004 20:32:25 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Khuri",
"N. N.",
""
],
[
"Martin",
"Andre",
""
],
[
"Sabatier",
"Pierre C.",
""
],
[
"Wu",
"Tai Tsun",
""
]
] | For a very large class of potentials, $V(\vec{x})$, $\vec{x}\in R^2$, we prove the universality of the low energy scattering amplitude, $f(\vec{k}', \vec{k})$. The result is $f=\sqrt{\frac{\pi}{2}}\{1/log k)+O(1/(log k)^2)$. The only exceptions occur if $V$ happens to have a zero energy bound state. Our new result includes as a special subclass the case of rotationally symmetric potentials, $V(|\vec{x}|)$. |
hep-th/0411100 | Joshua Friess | Joshua J. Friess and Herman Verlinde (Princeton U.) | Hawking Effect in 2-D String Theory | 19 pages, 3 figures | null | null | PUPT-2143 | hep-th | null | We use the matrix model to study the final state resulting from a coherent
high energy pulse in 2-d string theory at large string coupling. We show that
the outgoing signal produced via reflection off the potential has a thermal
spectrum, with the correct temperature and profile to be identified with
Hawking radiation. We confirm its origin as geometrical radiation produced by
the gravitational background. However, for a total incoming energy M, the
amount of energy carried by the thermal radiation scales only as log(M). Most
of the incoming energy is returned via the transmitted wave, which does not
have a thermal spectrum, indicating the absence of macroscopic black hole
formation.
| [
{
"created": "Wed, 10 Nov 2004 19:29:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Friess",
"Joshua J.",
"",
"Princeton U."
],
[
"Verlinde",
"Herman",
"",
"Princeton U."
]
] | We use the matrix model to study the final state resulting from a coherent high energy pulse in 2-d string theory at large string coupling. We show that the outgoing signal produced via reflection off the potential has a thermal spectrum, with the correct temperature and profile to be identified with Hawking radiation. We confirm its origin as geometrical radiation produced by the gravitational background. However, for a total incoming energy M, the amount of energy carried by the thermal radiation scales only as log(M). Most of the incoming energy is returned via the transmitted wave, which does not have a thermal spectrum, indicating the absence of macroscopic black hole formation. |
hep-th/9710148 | Kirill N. Ilinski | Kirill Ilinski | Physics of Finance | 17 pages, LaTeX, to appear in Proceeding of Budapest's conference on
Econophysics (July 1997) | null | null | null | hep-th cond-mat.stat-mech hep-lat hep-ph physics.soc-ph q-fin.PR | null | We give a brief introduction to the Gauge Theory of Arbitrage. Treating a
calculation of Net Present Values (NPV) and currencies exchanges as a parallel
transport in some fibre bundle, we give geometrical interpretation of the
interest rate, exchange rates and prices of securities as a proper connection
components. This allows us to map the theory of capital market onto the theory
of quantized gauge field interacted with a money flow field. The gauge
transformations of the matter field correspond to a dilatation of security
units which effect is eliminated by a gauge transformation of the connection.
The curvature tensor for the connection consists of the excess returns to the
risk-free interest rate for the local arbitrage operation. Free quantum gauge
theory is equivalent to the assumption about the log-normal walks of assets
prices. In general case the consideration maps the capital market onto lattice
QED.
| [
{
"created": "Sat, 18 Oct 1997 16:38:32 GMT",
"version": "v1"
}
] | 2009-02-20 | [
[
"Ilinski",
"Kirill",
""
]
] | We give a brief introduction to the Gauge Theory of Arbitrage. Treating a calculation of Net Present Values (NPV) and currencies exchanges as a parallel transport in some fibre bundle, we give geometrical interpretation of the interest rate, exchange rates and prices of securities as a proper connection components. This allows us to map the theory of capital market onto the theory of quantized gauge field interacted with a money flow field. The gauge transformations of the matter field correspond to a dilatation of security units which effect is eliminated by a gauge transformation of the connection. The curvature tensor for the connection consists of the excess returns to the risk-free interest rate for the local arbitrage operation. Free quantum gauge theory is equivalent to the assumption about the log-normal walks of assets prices. In general case the consideration maps the capital market onto lattice QED. |
hep-th/9807140 | Zurab Kakushadze | Gia Dvali and Zurab Kakushadze | Large N Domain Walls as D-branes for ${\cal N}=1$ QCD String | 21 pages, 2 eps figures, revtex; minor misprints corrected,
references added (to appear in Nucl. Phys. B) | Nucl.Phys. B537 (1999) 297-316 | 10.1016/S0550-3213(98)00683-X | HUTP-98/A030, NUB 3177 | hep-th hep-ph | null | We consider a model which in a certain limit reduces to the large N ${\cal
N}=1$ supersymmetric SU(N) gauge theory without matter. The gaugino condensate
in this model is controlled by the dynamics of an additional singlet
superfield. Using this model we explicitly construct BPS domain walls arising
due to the chiral symmetry breaking. In particular, in the large N limit we
obtain the exact shapes of the domain walls corresponding to solitons, and also
of the domain walls interpreted as D-branes on which the SQCD string can end,
whose existence was previously argued by Witten in the context of the large N
SQCD. We also discuss various points which appear to support the consistency of
the D-brane interpretation for these domain walls within the SQCD string
context.
| [
{
"created": "Sun, 19 Jul 1998 23:52:59 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Oct 1998 07:48:00 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Dec 1998 09:30:48 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Dvali",
"Gia",
""
],
[
"Kakushadze",
"Zurab",
""
]
] | We consider a model which in a certain limit reduces to the large N ${\cal N}=1$ supersymmetric SU(N) gauge theory without matter. The gaugino condensate in this model is controlled by the dynamics of an additional singlet superfield. Using this model we explicitly construct BPS domain walls arising due to the chiral symmetry breaking. In particular, in the large N limit we obtain the exact shapes of the domain walls corresponding to solitons, and also of the domain walls interpreted as D-branes on which the SQCD string can end, whose existence was previously argued by Witten in the context of the large N SQCD. We also discuss various points which appear to support the consistency of the D-brane interpretation for these domain walls within the SQCD string context. |
hep-th/0002210 | Loriano Bonora | L. Bonora, M. Schnabl and A. Tomasiello | A note on consistent anomalies in noncommutative YM theories | 4 pages, Latex, some comments and references added | Phys.Lett. B485 (2000) 311-313 | 10.1016/S0370-2693(00)00714-0 | 16/00/EP/FM | hep-th | null | Via descent equations we derive formulas for consistent gauge anomalies in
noncommutative Yang-Mills theories.
| [
{
"created": "Thu, 24 Feb 2000 18:11:30 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2000 12:41:08 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bonora",
"L.",
""
],
[
"Schnabl",
"M.",
""
],
[
"Tomasiello",
"A.",
""
]
] | Via descent equations we derive formulas for consistent gauge anomalies in noncommutative Yang-Mills theories. |
hep-th/0201006 | Boguslaw Broda | Boguslaw Broda | 3-dimensional scalar-vector dual of topological sigma-model | 10 pages, 2 EPS figures, talk delivered at "EuroConference on Partial
Differential Equations and their Applications to Geometry & Physics", 1
reference added, final version | Czech.J.Phys. 53 (2003) 123-131 | 10.1023/A:1022383018285 | null | hep-th math-ph math.MP | null | A 3-dimensional model dual to the Rozansky-Witten topological sigma-model
with a hyper-Kaehler target space is considered. It is demonstrated that a
Feynman diagram calculation of the classical part of its partition function
yields the Milnor linking number.
| [
{
"created": "Wed, 2 Jan 2002 15:23:34 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Feb 2002 16:13:55 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jan 2005 11:33:56 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Broda",
"Boguslaw",
""
]
] | A 3-dimensional model dual to the Rozansky-Witten topological sigma-model with a hyper-Kaehler target space is considered. It is demonstrated that a Feynman diagram calculation of the classical part of its partition function yields the Milnor linking number. |
hep-th/0604086 | Nemanja Kaloper | Christos Charmousis, Ruth Gregory, Nemanja Kaloper, Antonio Padilla | DGP Specteroscopy | 54 pages, 1 figure, JHEP latex | JHEP0610:066,2006 | 10.1088/1126-6708/2006/10/066 | null | hep-th astro-ph gr-qc hep-ph | null | We systematically explore the spectrum of gravitational perturbations in
codimension-1 DGP braneworlds, and find a 4D ghost on the self-accelerating
branch of solutions. The ghost appears for any value of the brane tension,
although depending on the sign of the tension it is either the helicity-0
component of the lightest localized massive tensor of mass $0<m^2 < 2H^2$ for
positive tension, the scalar `radion' for negative tension, or their admixture
for vanishing tension. Because the ghost is gravitationally coupled to the
brane-localized matter, the self-accelerating solutions are not a reliable
benchmark for cosmic acceleration driven by gravity modified in the IR. In
contrast, the normal branch of solutions is ghost-free, and so these solutions
are perturbatively safe at large distance scales. We further find that when the
$\mathbb{Z}_2$ orbifold symmetry is broken, new tachyonic instabilities, which
are much milder than the ghosts, appear on the self-accelerating branch.
Finally, using exact gravitational shock waves we analyze what happens if we
relax boundary conditions at infinity. We find that non-normalizable bulk
modes, if interpreted as 4D phenomena, may open the door to new ghost-like
excitations.
| [
{
"created": "Wed, 12 Apr 2006 18:27:56 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 2006 23:19:35 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Charmousis",
"Christos",
""
],
[
"Gregory",
"Ruth",
""
],
[
"Kaloper",
"Nemanja",
""
],
[
"Padilla",
"Antonio",
""
]
] | We systematically explore the spectrum of gravitational perturbations in codimension-1 DGP braneworlds, and find a 4D ghost on the self-accelerating branch of solutions. The ghost appears for any value of the brane tension, although depending on the sign of the tension it is either the helicity-0 component of the lightest localized massive tensor of mass $0<m^2 < 2H^2$ for positive tension, the scalar `radion' for negative tension, or their admixture for vanishing tension. Because the ghost is gravitationally coupled to the brane-localized matter, the self-accelerating solutions are not a reliable benchmark for cosmic acceleration driven by gravity modified in the IR. In contrast, the normal branch of solutions is ghost-free, and so these solutions are perturbatively safe at large distance scales. We further find that when the $\mathbb{Z}_2$ orbifold symmetry is broken, new tachyonic instabilities, which are much milder than the ghosts, appear on the self-accelerating branch. Finally, using exact gravitational shock waves we analyze what happens if we relax boundary conditions at infinity. We find that non-normalizable bulk modes, if interpreted as 4D phenomena, may open the door to new ghost-like excitations. |
hep-th/9302138 | Denis Uglov | D. B. Uglov | The Lie algebra of sl(2)-valued automorphic functions on a torus | 13 pages | Lett.Math.Phys. 31 (1994) 65-76 | 10.1007/BF00751172 | null | hep-th math.QA | null | It is shown that the Lie algebra of the automorphic, meromorphic sl(2, C)
-valued functions on a torus is a geometric realization of a certain
infinite-dimensional finitely generated Lie algebra. In the trigonometric
limit, when the modular parameter of the torus goes to zero, the former Lie
algebra goes over into the sl(2,C) -valued loop algebra, while the latter one -
into the Lie algebra (sl(2)^)'/(centre) .
| [
{
"created": "Fri, 26 Feb 1993 19:07:58 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Uglov",
"D. B.",
""
]
] | It is shown that the Lie algebra of the automorphic, meromorphic sl(2, C) -valued functions on a torus is a geometric realization of a certain infinite-dimensional finitely generated Lie algebra. In the trigonometric limit, when the modular parameter of the torus goes to zero, the former Lie algebra goes over into the sl(2,C) -valued loop algebra, while the latter one - into the Lie algebra (sl(2)^)'/(centre) . |
hep-th/0202065 | Corneliu Sochichiu | Elias Kiritsis and Corneliu Sochichiu | Duality in non-commutative gauge theories as a non-perturbative
Seiberg-Witten map | JHEP LaTeX style, 23 pages, new refs added | null | null | null | hep-th | null | We study the equivalence/duality between various non-commutative gauge models
at the classical and quantum level. The duality is realised by a linear
Seiberg-Witten-like map. The infinitesimal form of this map is analysed in more
details.
| [
{
"created": "Mon, 11 Feb 2002 07:17:10 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2002 07:27:03 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kiritsis",
"Elias",
""
],
[
"Sochichiu",
"Corneliu",
""
]
] | We study the equivalence/duality between various non-commutative gauge models at the classical and quantum level. The duality is realised by a linear Seiberg-Witten-like map. The infinitesimal form of this map is analysed in more details. |
hep-th/9211020 | null | J. Gamboa and C. Ramirez | Hamiltonian Approach to $2D$ Supergravity | 11pp, Plain tex, IPNO-TH 92/79 | Phys.Lett. B301 (1993) 20-24 | 10.1016/0370-2693(93)90714-S | null | hep-th | null | We study $2D$ supergravity in a covariant and gauge independent way. The
theory is obtained from $2D$ bosonic gravity following the square root method
and the diffeomorphism superalgebra is explicitly computed. We argue that our
approach could be a procedure for introducing nontrivial physics in quantum
$2D$ (super)gravity.
| [
{
"created": "Wed, 4 Nov 1992 13:19:09 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Gamboa",
"J.",
""
],
[
"Ramirez",
"C.",
""
]
] | We study $2D$ supergravity in a covariant and gauge independent way. The theory is obtained from $2D$ bosonic gravity following the square root method and the diffeomorphism superalgebra is explicitly computed. We argue that our approach could be a procedure for introducing nontrivial physics in quantum $2D$ (super)gravity. |
hep-th/0102147 | Ichiro Oda | Ichiro Oda | Locally Localized Gravity Models in Higher Dimensions | 20 pages, LaTex 2e, revised version (to appear in Phys. Rev. D) | Phys.Rev. D64 (2001) 026002 | 10.1103/PhysRevD.64.026002 | EDO-EP-36 | hep-th | null | We explore the possibility of generalizing the locally localized gravity
model in five space-time dimensions to arbitrary higher dimensions. In a
space-time with negative cosmological constant, there are essentially two kinds
of higher-dimensional cousins which not only take an analytic form but also are
free from the naked curvature singularity in a whole bulk space-time. One
cousin is a trivial extension of five-dimensional model, while the other one is
in essence in higher dimensions. One interesting observation is that in the
latter model, only anti-de Sitter ($AdS_p$) brane is physically meaningful
whereas de Sitter ($dS_p$) and Minkowski ($M_p$) branes are dismissed.
Moreover, for $AdS_p$ brane in the latter model, we study the property of
localization of various bulk fields on a single brane. In particular, it is
shown that the presence of the brane cosmological constant enables bulk gauge
field and massless fermions to confine to the brane only by a gravitational
interaction. We find a novel relation between mass of brane gauge field and the
brane cosmological constant.
| [
{
"created": "Wed, 21 Feb 2001 22:05:07 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Apr 2001 22:26:12 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Oda",
"Ichiro",
""
]
] | We explore the possibility of generalizing the locally localized gravity model in five space-time dimensions to arbitrary higher dimensions. In a space-time with negative cosmological constant, there are essentially two kinds of higher-dimensional cousins which not only take an analytic form but also are free from the naked curvature singularity in a whole bulk space-time. One cousin is a trivial extension of five-dimensional model, while the other one is in essence in higher dimensions. One interesting observation is that in the latter model, only anti-de Sitter ($AdS_p$) brane is physically meaningful whereas de Sitter ($dS_p$) and Minkowski ($M_p$) branes are dismissed. Moreover, for $AdS_p$ brane in the latter model, we study the property of localization of various bulk fields on a single brane. In particular, it is shown that the presence of the brane cosmological constant enables bulk gauge field and massless fermions to confine to the brane only by a gravitational interaction. We find a novel relation between mass of brane gauge field and the brane cosmological constant. |
1212.5178 | Timm Wrase | Ulf H. Danielsson, Gary Shiu, Thomas Van Riet, Timm Wrase | A note on obstinate tachyons in classical dS solutions | 22 pages; v2: added references, minor changes | JHEP 1303:138,2013 | 10.1007/JHEP03(2013)138 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The stabilisation of the dilaton and volume in tree-level flux
compactifications leads to model independent and thus very powerful existence
and stability criteria for dS solutions. In this paper we show that the sizes
of cycles wrapped by orientifold planes are scalars whose scalings in the
potential are not entirely model independent, but enough to entail strong
stability constraints. For all known dS solutions arising from massive IIA
supergravity flux compactifications on SU(3)-structure manifolds the tachyons
are exactly within the subspace spanned by the dilaton, the total volume and
the volumes of the orientifold cycles. We illustrate this in detail for the
well-studied case of the O6 plane compactification on SU(2)xSU(2)/Z_2xZ_2. For
that example we uncover another novel structure in the tachyon spectrum: the dS
solutions have a singular, but supersymmetric, Minkowski limit, in which the
tachyon exactly aligns with the sgoldstino.
| [
{
"created": "Thu, 20 Dec 2012 18:21:26 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2013 19:57:12 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Danielsson",
"Ulf H.",
""
],
[
"Shiu",
"Gary",
""
],
[
"Van Riet",
"Thomas",
""
],
[
"Wrase",
"Timm",
""
]
] | The stabilisation of the dilaton and volume in tree-level flux compactifications leads to model independent and thus very powerful existence and stability criteria for dS solutions. In this paper we show that the sizes of cycles wrapped by orientifold planes are scalars whose scalings in the potential are not entirely model independent, but enough to entail strong stability constraints. For all known dS solutions arising from massive IIA supergravity flux compactifications on SU(3)-structure manifolds the tachyons are exactly within the subspace spanned by the dilaton, the total volume and the volumes of the orientifold cycles. We illustrate this in detail for the well-studied case of the O6 plane compactification on SU(2)xSU(2)/Z_2xZ_2. For that example we uncover another novel structure in the tachyon spectrum: the dS solutions have a singular, but supersymmetric, Minkowski limit, in which the tachyon exactly aligns with the sgoldstino. |
hep-th/9610035 | Gennaro Miele | F. Lizzi, G. Mangano, G. Miele and G. Sparano | Fermion Hilbert Space and Fermion Doubling in the Noncommutative
Geometry Approach to Gauge Theories | plain LaTeX, pp. 17 | Phys.Rev.D55:6357-6366,1997 | 10.1103/PhysRevD.55.6357 | DSF-T-45/96, OUTP-96-61-P | hep-th | null | In this paper we study the structure of the Hilbert space for the recent
noncommutative geometry models of gauge theories. We point out the presence of
unphysical degrees of freedom similar to the ones appearing in lattice gauge
theories (fermion doubling). We investigate the possibility of projecting out
these states at the various levels in the construction, but we find that the
results of these attempts are either physically unacceptable or geometrically
unappealing.
| [
{
"created": "Mon, 7 Oct 1996 12:47:11 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Lizzi",
"F.",
""
],
[
"Mangano",
"G.",
""
],
[
"Miele",
"G.",
""
],
[
"Sparano",
"G.",
""
]
] | In this paper we study the structure of the Hilbert space for the recent noncommutative geometry models of gauge theories. We point out the presence of unphysical degrees of freedom similar to the ones appearing in lattice gauge theories (fermion doubling). We investigate the possibility of projecting out these states at the various levels in the construction, but we find that the results of these attempts are either physically unacceptable or geometrically unappealing. |
1705.01741 | Kirill Krasnov | Kirill Krasnov | Dynamics of 3-Forms in Seven Dimensions | 25 pages, no figures | null | 10.1088/1361-6382/aa8b45 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue to study a certain dynamical theory of 3-forms in seven
dimensions, which can be viewed as a non-linear 7D analog of the 3D Abelian
Chern-Simons theory. We perform the 6+1 split and show that the theory
propagates 3 degrees of freedom. We also study the dimensional reduction on S3.
We find the resulting theory to be a variant of 4D scalar-tensor theory of
gravity.
| [
{
"created": "Thu, 4 May 2017 08:44:39 GMT",
"version": "v1"
}
] | 2017-11-22 | [
[
"Krasnov",
"Kirill",
""
]
] | We continue to study a certain dynamical theory of 3-forms in seven dimensions, which can be viewed as a non-linear 7D analog of the 3D Abelian Chern-Simons theory. We perform the 6+1 split and show that the theory propagates 3 degrees of freedom. We also study the dimensional reduction on S3. We find the resulting theory to be a variant of 4D scalar-tensor theory of gravity. |
0807.2339 | Rafael Hernandez | Cesar Gomez, Johan Gunnesson, Rafael Hernandez | Magnons and BFKL | 21 pages. Latex. v2: Reference added and minor changes | JHEP 0809:060,2008 | 10.1088/1126-6708/2008/09/060 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extract from the double logarithmic contributions to DGLAP anomalous
dimensions for twist-two operators up to three-loops the magnon dispersion
relation for planar N=4 supersymmetric Yang-Mills. Perturbatively the magnon
dispersion relation agrees with the expansion of the anomalous dimension for
spin-one as well as with the non-collinear double logarithmic contributions to
the BFKL anomalous dimensions analytically extended to negative spin. The
all-loop expression for the magnon dispersion relation is determined by the
double logarithmic resummation of the corresponding Bethe-Salpeter equation. A
potential map relating the spin chain magnon to BFKL eigenfunctions in the
double logarithm approximation is suggested.
| [
{
"created": "Tue, 15 Jul 2008 10:50:01 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jul 2008 12:51:54 GMT",
"version": "v2"
}
] | 2009-02-09 | [
[
"Gomez",
"Cesar",
""
],
[
"Gunnesson",
"Johan",
""
],
[
"Hernandez",
"Rafael",
""
]
] | We extract from the double logarithmic contributions to DGLAP anomalous dimensions for twist-two operators up to three-loops the magnon dispersion relation for planar N=4 supersymmetric Yang-Mills. Perturbatively the magnon dispersion relation agrees with the expansion of the anomalous dimension for spin-one as well as with the non-collinear double logarithmic contributions to the BFKL anomalous dimensions analytically extended to negative spin. The all-loop expression for the magnon dispersion relation is determined by the double logarithmic resummation of the corresponding Bethe-Salpeter equation. A potential map relating the spin chain magnon to BFKL eigenfunctions in the double logarithm approximation is suggested. |
hep-th/9512206 | Hajime Oda | Hiroyuki Hata, Hajime Oda and Shigeaki Yahikozawa | String Field Theory in Rindler Space-Time and String Thermalization | 37 pages + 2 uuencoded eps figures, LaTeX, References added | Prog.Theor.Phys. 96 (1996) 985-1020 | 10.1143/PTP.96.985 | KUNS-1374 | hep-th gr-qc | null | Quantization of free string field theory in the Rindler space-time is studied
by using the covariant formulation and taking the center-of-mass value of the
Rindler string time-coordinate $\eta(\sigma)$ as the time variable for
quantization. We construct the string Rindler modes which vanish in either of
the Rindler wedges $\pm$ defined by the Minkowski center-of-mass coordinate of
the string. We then evaluate the Bogoliubov coefficients between the Rindler
string creation/annihilation operators and the Minkowski ones, and analyze the
string thermalization. An approach to the construction of the string Rindler
modes corresponding to different definitions of the wedges is also presented
toward a thorough understanding of the structure of the Hilbert space of the
string field theory on the Rindler space-time.
| [
{
"created": "Fri, 29 Dec 1995 03:43:33 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 1996 02:55:59 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jan 1996 02:53:20 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Hata",
"Hiroyuki",
""
],
[
"Oda",
"Hajime",
""
],
[
"Yahikozawa",
"Shigeaki",
""
]
] | Quantization of free string field theory in the Rindler space-time is studied by using the covariant formulation and taking the center-of-mass value of the Rindler string time-coordinate $\eta(\sigma)$ as the time variable for quantization. We construct the string Rindler modes which vanish in either of the Rindler wedges $\pm$ defined by the Minkowski center-of-mass coordinate of the string. We then evaluate the Bogoliubov coefficients between the Rindler string creation/annihilation operators and the Minkowski ones, and analyze the string thermalization. An approach to the construction of the string Rindler modes corresponding to different definitions of the wedges is also presented toward a thorough understanding of the structure of the Hilbert space of the string field theory on the Rindler space-time. |
1412.8747 | Soo-Jong Rey | Jin-Beom Bae, Soo-Jong Rey | Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson
Loop | 74 pages, embedded figures | null | null | SNUST-14-07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Expectation value of lightlike polygon Wilson loop is computed in the
three-dimensional ABJM theory up to second-order in `t Hooft coupling in the
limit of infinitely many colors and the result is critically compared with that
in the four-dimensional N=4 super Yang-Mills theory. We first obtain analytic
result for hexagon Wilson loop by combining Mellin-Barnes transformation, high
precision numerical computation and the PSLQ algorithm. We then derive a
version of operator product expansion (OPE) that reduces lightlike n-gon to a
linear combination of (n-2)-gons in the soft-collinear limit of the polygon
geometry. The Wilson coefficient of the OPE is the universal antenna function
defined by a collapsed lightlike tetragon Wilson loop. Using this, we first
construct a all order recursion relation among the lightlike Wilson loops and
then solve it for arbitrary polygon with the hexagon Wilson loop as the initial
condition. The functional form of the polygon Wilson loop takes the structure
remarkably similar to the four-dimensional N=4 super Yang-Mills theory. We also
observe that Gram subdeterminant conditions for polygon moduli variables
restricts that the Wilson loop contour should be restricted even-sided. As a
consistency check, we take thermodynamic limit of regular polygon and reproduce
the known results for spacelike circular Wilson loop expectation value.
| [
{
"created": "Tue, 30 Dec 2014 19:50:20 GMT",
"version": "v1"
}
] | 2014-12-31 | [
[
"Bae",
"Jin-Beom",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | Expectation value of lightlike polygon Wilson loop is computed in the three-dimensional ABJM theory up to second-order in `t Hooft coupling in the limit of infinitely many colors and the result is critically compared with that in the four-dimensional N=4 super Yang-Mills theory. We first obtain analytic result for hexagon Wilson loop by combining Mellin-Barnes transformation, high precision numerical computation and the PSLQ algorithm. We then derive a version of operator product expansion (OPE) that reduces lightlike n-gon to a linear combination of (n-2)-gons in the soft-collinear limit of the polygon geometry. The Wilson coefficient of the OPE is the universal antenna function defined by a collapsed lightlike tetragon Wilson loop. Using this, we first construct a all order recursion relation among the lightlike Wilson loops and then solve it for arbitrary polygon with the hexagon Wilson loop as the initial condition. The functional form of the polygon Wilson loop takes the structure remarkably similar to the four-dimensional N=4 super Yang-Mills theory. We also observe that Gram subdeterminant conditions for polygon moduli variables restricts that the Wilson loop contour should be restricted even-sided. As a consistency check, we take thermodynamic limit of regular polygon and reproduce the known results for spacelike circular Wilson loop expectation value. |
hep-th/9801073 | Andrei Linde | Nemanja Kaloper, Andrei Linde, and Raphael Bousso | Pre-Big-Bang Requires the Universe to be Exponentially Large From the
Very Beginning | 14 pages, a discussion of the flatness problem in the PBB cosmology
is added | Phys.Rev.D59:043508,1999 | 10.1103/PhysRevD.59.043508 | SU-ITP-97-46 | hep-th astro-ph gr-qc hep-ph | null | We show that in a generic case of the pre-big-bang scenario, inflation will
solve cosmological problems only if the universe at the onset of inflation is
extremely large and homogeneous from the very beginning. The size of a
homogeneous part of the universe at the beginning of the stage of pre-big-bang
(PBB) inflation must be greater than $10^{19}$ $l_s$, where $l_s$ is the
stringy length. The total mass of an inflationary domain must be greater than
$10^{72} M_{s}$, where $M_{s} \sim l_s^{-1}$. If the universe is initially
radiation dominated, then its total entropy at that time must be greater than
$10^{68}$. If the universe is closed, then at the moment of its formation it
must be uniform over $10^{24}$ causally disconnected domains. The natural
duration of the PBB stage in this scenario is $M_p^{-1}$. We argue that the
initial state of the open PBB universe could not be homogeneous because of
quantum fluctuations. Independently of the issue of homogeneity, one must
introduce two large dimensionless parameters, $g_0^{-2} > 10^{53}$, and $B >
10^{91}$, in order to solve the flatness problem in the PBB cosmology. A regime
of eternal inflation does not occur in the PBB scenario. This should be
compared with the simplest versions of the chaotic inflation scenario, where
the regime of eternal inflation may begin in a universe of size $O(M_{p}^{-1})$
with vanishing initial radiation entropy, mass $O(M_p)$, and geometric entropy
O(1). We conclude that the current version of the PBB scenario cannot replace
usual inflation even if one solves the graceful exit problem in this scenario.
| [
{
"created": "Tue, 13 Jan 1998 01:19:54 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jan 1998 04:55:26 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Jan 1998 04:03:00 GMT",
"version": "v3"
}
] | 2009-09-29 | [
[
"Kaloper",
"Nemanja",
""
],
[
"Linde",
"Andrei",
""
],
[
"Bousso",
"Raphael",
""
]
] | We show that in a generic case of the pre-big-bang scenario, inflation will solve cosmological problems only if the universe at the onset of inflation is extremely large and homogeneous from the very beginning. The size of a homogeneous part of the universe at the beginning of the stage of pre-big-bang (PBB) inflation must be greater than $10^{19}$ $l_s$, where $l_s$ is the stringy length. The total mass of an inflationary domain must be greater than $10^{72} M_{s}$, where $M_{s} \sim l_s^{-1}$. If the universe is initially radiation dominated, then its total entropy at that time must be greater than $10^{68}$. If the universe is closed, then at the moment of its formation it must be uniform over $10^{24}$ causally disconnected domains. The natural duration of the PBB stage in this scenario is $M_p^{-1}$. We argue that the initial state of the open PBB universe could not be homogeneous because of quantum fluctuations. Independently of the issue of homogeneity, one must introduce two large dimensionless parameters, $g_0^{-2} > 10^{53}$, and $B > 10^{91}$, in order to solve the flatness problem in the PBB cosmology. A regime of eternal inflation does not occur in the PBB scenario. This should be compared with the simplest versions of the chaotic inflation scenario, where the regime of eternal inflation may begin in a universe of size $O(M_{p}^{-1})$ with vanishing initial radiation entropy, mass $O(M_p)$, and geometric entropy O(1). We conclude that the current version of the PBB scenario cannot replace usual inflation even if one solves the graceful exit problem in this scenario. |
1703.03264 | Antonio Pereira Jr | M. A. L. Capri, D. Fiorentini, A. D. Pereira, S. P. Sorella | A non-perturbative study of matter field propagators in Euclidean
Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian
gauges | 27 pages, no figures; V2, minor modifications, to appear in EPJC | null | 10.1140/epjc/s10052-017-5107-z | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we study the propagators of matter fields within the framework
of the Refined Gribov-Zwanziger theory, which takes into account the effects of
the Gribov copies in the gauge-fixing quantization procedure of Yang-Mills
theory. In full analogy with the pure gluon sector of the Refined
Gribov-Zwanziger action, a non-local long-range term in the inverse of the
Faddeev-Popov operator is added in the matter sector. Making use of the recent
BRST invariant formulation of the Gribov-Zwanziger framework achieved in [Capri
et al 2016], the propagators of scalar and quark fields in the adjoint and
fundamental representations of the gauge group are worked out explicitly in the
linear covariant, Curci-Ferrari and maximal Abelian gauges. Whenever lattice
data are available, our results exhibit good qualitative agreement.
| [
{
"created": "Thu, 9 Mar 2017 14:02:08 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2017 15:24:26 GMT",
"version": "v2"
}
] | 2017-09-13 | [
[
"Capri",
"M. A. L.",
""
],
[
"Fiorentini",
"D.",
""
],
[
"Pereira",
"A. D.",
""
],
[
"Sorella",
"S. P.",
""
]
] | In this work, we study the propagators of matter fields within the framework of the Refined Gribov-Zwanziger theory, which takes into account the effects of the Gribov copies in the gauge-fixing quantization procedure of Yang-Mills theory. In full analogy with the pure gluon sector of the Refined Gribov-Zwanziger action, a non-local long-range term in the inverse of the Faddeev-Popov operator is added in the matter sector. Making use of the recent BRST invariant formulation of the Gribov-Zwanziger framework achieved in [Capri et al 2016], the propagators of scalar and quark fields in the adjoint and fundamental representations of the gauge group are worked out explicitly in the linear covariant, Curci-Ferrari and maximal Abelian gauges. Whenever lattice data are available, our results exhibit good qualitative agreement. |
1711.09478 | Dong-Gang Wang | Ana Ach\'ucarro, Renata Kallosh, Andrei Linde, Dong-Gang Wang, Yvette
Welling | Universality of multi-field $\alpha$-attractors | 26 pages, 9 figures; v2: published version with references added and
discussion extended | JCAP 04 (2018) 028 | 10.1088/1475-7516/2018/04/028 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a particular version of the theory of cosmological
$\alpha$-attractors with $\alpha=1/3$, in which both the dilaton (inflaton)
field and the axion field are light during inflation. The kinetic terms in this
theory originate from maximal $\mathcal{N}=4$ superconformal symmetry and from
maximal $\mathcal{N}=8$ supergravity. We show that because of the underlying
hyperbolic geometry of the moduli space in this theory, it exhibits double
attractor behavior: their cosmological predictions are stable not only with
respect to significant modifications of the dilaton potential, but also with
respect to significant modifications of the axion potential: $n_s\simeq
1-{2\over N}$, $r\simeq {4\over N^2}$. We also show that the universality of
predictions extends to other values of $\alpha \lesssim {\cal O}(1)$ with
general two-field potentials that may or may not have an embedding in
supergravity. Our results support the idea that inflation involving multiple,
not stabilized, light fields on a hyperbolic manifold may be compatible with
current observational constraints for a broad class of potentials.
| [
{
"created": "Sun, 26 Nov 2017 22:40:19 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2018 17:36:26 GMT",
"version": "v2"
}
] | 2018-04-10 | [
[
"Achúcarro",
"Ana",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Wang",
"Dong-Gang",
""
],
[
"Welling",
"Yvette",
""
]
] | We study a particular version of the theory of cosmological $\alpha$-attractors with $\alpha=1/3$, in which both the dilaton (inflaton) field and the axion field are light during inflation. The kinetic terms in this theory originate from maximal $\mathcal{N}=4$ superconformal symmetry and from maximal $\mathcal{N}=8$ supergravity. We show that because of the underlying hyperbolic geometry of the moduli space in this theory, it exhibits double attractor behavior: their cosmological predictions are stable not only with respect to significant modifications of the dilaton potential, but also with respect to significant modifications of the axion potential: $n_s\simeq 1-{2\over N}$, $r\simeq {4\over N^2}$. We also show that the universality of predictions extends to other values of $\alpha \lesssim {\cal O}(1)$ with general two-field potentials that may or may not have an embedding in supergravity. Our results support the idea that inflation involving multiple, not stabilized, light fields on a hyperbolic manifold may be compatible with current observational constraints for a broad class of potentials. |
1806.04740 | Antonio Padilla | Antonio Padilla | Monodromy inflation and an emergent mechanism for stabilising the
cosmological constant | Version to appear in JHEP | null | 10.1007/JHEP01(2019)175 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that a pair of field theory monodromies in which the shift symmetry
is broken by small, well motivated deformations, naturally incorporates a
mechanism for cancelling off radiative corrections to the cosmological
constant. The lighter monodromy sector plays the role of inflation as well as
providing a rigid degree of freedom that acts as a dynamical counterterm for
the cosmological constant. The heavier monodromy sector includes a rigid
dilaton that forces a global constraint on the system and the cancellation of
vacuum energy loops occurs at low energies via the sequestering mechanism. This
suggests that monodromy constructions in string theory could be adapted to
incorporate mechanisms to stabilise the cosmological constant in their low
energy descriptions.
| [
{
"created": "Tue, 12 Jun 2018 19:54:26 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jan 2019 16:27:05 GMT",
"version": "v2"
}
] | 2019-02-20 | [
[
"Padilla",
"Antonio",
""
]
] | We show that a pair of field theory monodromies in which the shift symmetry is broken by small, well motivated deformations, naturally incorporates a mechanism for cancelling off radiative corrections to the cosmological constant. The lighter monodromy sector plays the role of inflation as well as providing a rigid degree of freedom that acts as a dynamical counterterm for the cosmological constant. The heavier monodromy sector includes a rigid dilaton that forces a global constraint on the system and the cancellation of vacuum energy loops occurs at low energies via the sequestering mechanism. This suggests that monodromy constructions in string theory could be adapted to incorporate mechanisms to stabilise the cosmological constant in their low energy descriptions. |
hep-th/0203167 | Charles B. Thorn | Charles B. Thorn | A Worldsheet Description of Planar Yang-Mills Theory | 18 pages, 15 figures, reference added, paragraph added to section
3.3, erroneous statement in section 4 corrected, typos corrected | Nucl.Phys. B637 (2002) 272-292; Erratum-ibid. B648 (2003) 457 | 10.1016/S0550-3213(02)00461-3 10.1016/S0550-3213(02)00995-1 | null | hep-th | null | We extend previous work by developing a worldsheet description of non-abelian
gauge theory (Yang-Mills). This task requires the introduction of Grassmann
variables on the world sheet analogous to those of the Neveu-Schwarz-Ramond
formulation of string theory. A highlight of our construction is that once the
three gluon vertices of Yang-Mills Feynman diagrams are given a worldsheet
description, the worldsheet formalism automatically produces all of the quartic
vertices.
| [
{
"created": "Tue, 19 Mar 2002 17:20:02 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Mar 2002 19:05:50 GMT",
"version": "v2"
}
] | 2009-05-08 | [
[
"Thorn",
"Charles B.",
""
]
] | We extend previous work by developing a worldsheet description of non-abelian gauge theory (Yang-Mills). This task requires the introduction of Grassmann variables on the world sheet analogous to those of the Neveu-Schwarz-Ramond formulation of string theory. A highlight of our construction is that once the three gluon vertices of Yang-Mills Feynman diagrams are given a worldsheet description, the worldsheet formalism automatically produces all of the quartic vertices. |
hep-th/9411129 | Majumdar Parthasarathi | Saurya Das and Parthasarathi Majumdar | Shock Wave Mixing in Einstein and Dilaton Gravity | 11 pages, revtex file, no figures | Phys.Lett.B348:349-354,1995 | 10.1016/0370-2693(95)00169-L | IMSc-94/46 | hep-th | null | We consider possible mixing of electromagnetic and gravitational shock waves,
in the Planckian energy scattering of point particles in Minkowski space. By
boosting a Reissner-Nordstr\"om black hole solution to the velocity of light,
it is shown that no mixing of shock waves takes place for arbitrary finite
charge carried by the black hole. However, a similar boosting procedure for a
charged black hole solution in dilaton gravity yields some mixing : the wave
function of even a neutral test particle, acquires a small additional phase
factor depending on the dilatonic black hole charge. Possible implications for
poles in the amplitudes for the dilaton gravity case are discussed.
| [
{
"created": "Thu, 17 Nov 1994 10:20:18 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Das",
"Saurya",
""
],
[
"Majumdar",
"Parthasarathi",
""
]
] | We consider possible mixing of electromagnetic and gravitational shock waves, in the Planckian energy scattering of point particles in Minkowski space. By boosting a Reissner-Nordstr\"om black hole solution to the velocity of light, it is shown that no mixing of shock waves takes place for arbitrary finite charge carried by the black hole. However, a similar boosting procedure for a charged black hole solution in dilaton gravity yields some mixing : the wave function of even a neutral test particle, acquires a small additional phase factor depending on the dilatonic black hole charge. Possible implications for poles in the amplitudes for the dilaton gravity case are discussed. |
2211.01385 | Maciej Kolanowski | Gary T. Horowitz, Maciej Kolanowski and Jorge E. Santos | A deformed IR: a new IR fixed point for four-dimensional holographic
theories | 44 pages, 13 figures | null | 10.1007/JHEP02(2023)152 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In holography, the IR behavior of a quantum system at nonzero density is
described by the near horizon geometry of an extremal charged black hole. It is
commonly believed that for systems on $S^3$, this near horizon geometry is
$AdS_2\times S^3 $. We show that this is not the case: generic static,
nonspherical perturbations of $AdS_2\times S^3 $ blow up at the horizon,
showing that it is not a stable IR fixed point. We then construct a new near
horizon geometry which is invariant under only $SO(3)$ (and not $SO(4)$)
symmetry and show that it is stable to $SO(3)$-preserving perturbations (but
not in general). We also show that an open set of nonextremal,
$SO(3)$-invariant charged black holes develop this new near horizon geometry in
the limit $T \to 0$. Our new IR geometry still has $AdS_2$ symmetry, but it is
warped over a deformed sphere. We also construct many other near horizon
geometries, including some with no rotational symmetries, but expect them all
to be unstable IR fixed points.
| [
{
"created": "Wed, 2 Nov 2022 18:00:01 GMT",
"version": "v1"
}
] | 2023-03-22 | [
[
"Horowitz",
"Gary T.",
""
],
[
"Kolanowski",
"Maciej",
""
],
[
"Santos",
"Jorge E.",
""
]
] | In holography, the IR behavior of a quantum system at nonzero density is described by the near horizon geometry of an extremal charged black hole. It is commonly believed that for systems on $S^3$, this near horizon geometry is $AdS_2\times S^3 $. We show that this is not the case: generic static, nonspherical perturbations of $AdS_2\times S^3 $ blow up at the horizon, showing that it is not a stable IR fixed point. We then construct a new near horizon geometry which is invariant under only $SO(3)$ (and not $SO(4)$) symmetry and show that it is stable to $SO(3)$-preserving perturbations (but not in general). We also show that an open set of nonextremal, $SO(3)$-invariant charged black holes develop this new near horizon geometry in the limit $T \to 0$. Our new IR geometry still has $AdS_2$ symmetry, but it is warped over a deformed sphere. We also construct many other near horizon geometries, including some with no rotational symmetries, but expect them all to be unstable IR fixed points. |
2112.00055 | Andrzej Pokraka | Simon Caron-Huot and Andrzej Pokraka | Duals of Feynman Integrals, 2: Generalized Unitarity | 51+8 pages, 7 figures, 4 ancillary files; updated to match version
published in JHEP | null | 10.1007/JHEP04(2022)078 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The first paper of this series introduced objects (elements of twisted
relative cohomology) that are Poincar\'e dual to Feynman integrals. We show how
to use the pairing between these spaces -- an algebraic invariant called the
intersection number -- to express a scattering amplitude over a minimal basis
of integrals, bypassing the generation of integration-by-parts identities. The
initial information is the integrand on cuts of various topologies, computable
as products of on-shell trees, providing a systematic approach to generalized
unitarity. We give two algorithms for computing the multi-variate intersection
number. As a first example, we compute 4- and 5-point gluon amplitudes in
generic spacetime dimension. We also examine the 4-dimensional limit of our
formalism and provide prescriptions for extracting rational terms.
| [
{
"created": "Tue, 30 Nov 2021 19:25:55 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Apr 2022 19:13:38 GMT",
"version": "v2"
}
] | 2022-04-19 | [
[
"Caron-Huot",
"Simon",
""
],
[
"Pokraka",
"Andrzej",
""
]
] | The first paper of this series introduced objects (elements of twisted relative cohomology) that are Poincar\'e dual to Feynman integrals. We show how to use the pairing between these spaces -- an algebraic invariant called the intersection number -- to express a scattering amplitude over a minimal basis of integrals, bypassing the generation of integration-by-parts identities. The initial information is the integrand on cuts of various topologies, computable as products of on-shell trees, providing a systematic approach to generalized unitarity. We give two algorithms for computing the multi-variate intersection number. As a first example, we compute 4- and 5-point gluon amplitudes in generic spacetime dimension. We also examine the 4-dimensional limit of our formalism and provide prescriptions for extracting rational terms. |
1302.2641 | Mohamed Anber | Mohamed M. Anber | Theta dependence of the deconfining phase transition in pure SU(N_c)
Yang-Mills theories | 5 pages, 3 figures; minor modifications, typos corrected, references
added | Phys. Rev. D 88, 085003 (2013) | 10.1103/PhysRevD.88.085003 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, it has been conjectured that deconfining phase transition in
SU(N_c) pure Yang-Mills theories is continuously connected to a quantum phase
transition in softly broken N=1 super Yang-Mills on R^{1,2}*S^1. We exploit
this conjecture to study the strength of the transition and deconfining
temperature as a function of the vacuum angle theta in pure Yang-Mills. We find
that the transition temperature is a decreasing function of theta in [0, \pi),
in an excellent agreement with recent lattice simulations. We also predict that
the transition becomes stronger for the same range of theta, and comment on the
theta dependence in the large N_c limit. More lattice studies are required to
test our predictions.
| [
{
"created": "Mon, 11 Feb 2013 21:07:39 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Mar 2013 20:01:21 GMT",
"version": "v2"
}
] | 2013-10-30 | [
[
"Anber",
"Mohamed M.",
""
]
] | Recently, it has been conjectured that deconfining phase transition in SU(N_c) pure Yang-Mills theories is continuously connected to a quantum phase transition in softly broken N=1 super Yang-Mills on R^{1,2}*S^1. We exploit this conjecture to study the strength of the transition and deconfining temperature as a function of the vacuum angle theta in pure Yang-Mills. We find that the transition temperature is a decreasing function of theta in [0, \pi), in an excellent agreement with recent lattice simulations. We also predict that the transition becomes stronger for the same range of theta, and comment on the theta dependence in the large N_c limit. More lattice studies are required to test our predictions. |
1909.04941 | Masoumeh Ghasemkhani | M. Ghasemkhani, R. Bufalo, V. Rahmanpour, M. Alipour | One-loop Photon's Effective Action in the Noncommutative Scalar
QED$_{3}$ | 18 pages, 3 figures, published version | Phys. Rev. D 101, 025001 (2020) | 10.1103/PhysRevD.101.025001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider the evaluation of the effective action for photons
coupled to charged scalar fields in the framework of a $(2+1)$-dimensional
noncommutative spacetime. In order to determine the noncommutative Maxwell
Lagrangian density, we follow a perturbative approach, by integrating out the
charged scalar fields, to compute the respective graphs for the vev's
$\left\langle AA \right\rangle$, $\left\langle AAA \right\rangle$ and
$\left\langle AAAA \right\rangle$. Surprisingly, it is shown that these
contributions are planar and that, in the highly noncommutative limit,
correspond to the Maxwell effective action and its higher-derivative
corrections. It is explicitly verified that the one-loop effective action is
gauge invariant, as well as under discrete symmetries: parity, time reversal
and charge conjugation. Moreover, a comparison of the main results with the
noncommutative QED$_{3}$ is established. In particular, the main difference is
the absence of parity violating terms in the photon's effective action coming
from integrating out the charged scalar fields.
| [
{
"created": "Wed, 11 Sep 2019 09:34:41 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2020 18:43:24 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Ghasemkhani",
"M.",
""
],
[
"Bufalo",
"R.",
""
],
[
"Rahmanpour",
"V.",
""
],
[
"Alipour",
"M.",
""
]
] | In this paper, we consider the evaluation of the effective action for photons coupled to charged scalar fields in the framework of a $(2+1)$-dimensional noncommutative spacetime. In order to determine the noncommutative Maxwell Lagrangian density, we follow a perturbative approach, by integrating out the charged scalar fields, to compute the respective graphs for the vev's $\left\langle AA \right\rangle$, $\left\langle AAA \right\rangle$ and $\left\langle AAAA \right\rangle$. Surprisingly, it is shown that these contributions are planar and that, in the highly noncommutative limit, correspond to the Maxwell effective action and its higher-derivative corrections. It is explicitly verified that the one-loop effective action is gauge invariant, as well as under discrete symmetries: parity, time reversal and charge conjugation. Moreover, a comparison of the main results with the noncommutative QED$_{3}$ is established. In particular, the main difference is the absence of parity violating terms in the photon's effective action coming from integrating out the charged scalar fields. |
1305.0432 | Predrag Dominis Prester | Loriano Bonora, Maro Cvitan, Predrag Dominis Prester, Silvio Pallua,
Ivica Smolic | Symmetries and gravitational Chern-Simons Lagrangian terms | 10 pages | null | 10.1016/j.physletb.2013.07.036 | SISSA 18/2013/FISI, TZF-2013-02 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider some general consequences of adding pure gravitational
Chern-Simons term to manifestly diff-covariant theories of gravity. Extending
the result of a previous paper we enlarge the class of metrics for which the
inclusion of a gCS term in the action does not affect solutions and
corresponding physical quantities. In the case in which such solutions describe
black holes (of general horizon topology) we show that the black hole entropy
is also unchanged. We arrive at these conclusions by proving three general
theorems and studying their consequences. One of the theorems states that the
contribution of the gravitational Chern-Simons to the black hole entropy is
invariant under local rescaling of the metric.
| [
{
"created": "Thu, 2 May 2013 13:47:28 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Bonora",
"Loriano",
""
],
[
"Cvitan",
"Maro",
""
],
[
"Prester",
"Predrag Dominis",
""
],
[
"Pallua",
"Silvio",
""
],
[
"Smolic",
"Ivica",
""
]
] | We consider some general consequences of adding pure gravitational Chern-Simons term to manifestly diff-covariant theories of gravity. Extending the result of a previous paper we enlarge the class of metrics for which the inclusion of a gCS term in the action does not affect solutions and corresponding physical quantities. In the case in which such solutions describe black holes (of general horizon topology) we show that the black hole entropy is also unchanged. We arrive at these conclusions by proving three general theorems and studying their consequences. One of the theorems states that the contribution of the gravitational Chern-Simons to the black hole entropy is invariant under local rescaling of the metric. |
hep-th/0402002 | Hyun Seok Yang | Hyun Seok Yang | Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity | 12 pages, Latex; version to appear in Mod. Phys. Lett. A | Mod.Phys.Lett.A21:2637-2647,2006 | 10.1142/S0217732306021682 | SNUTP 04-003 | hep-th gr-qc hep-ph | null | We find a closed form for Seiberg-Witten (SW) map between ordinary and
noncommutative (NC) Dirac-Born-Infeld actions. We show that NC Maxwell action
after the exact SW map can be regarded as ordinary Maxwell action coupling to a
metric deformed by gauge fields. We also show that reversed procedure by
inverse SW map leads to a similar interpretation in terms of induced NC
geometry. This implies that noncommutativity in field theory can be interpreted
as field dependent fluctuations of spacetime geometry, which genuinely realizes
an interesting idea recently observed by Rivelles.
| [
{
"created": "Mon, 2 Feb 2004 15:52:31 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Feb 2004 19:40:07 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Sep 2006 09:52:28 GMT",
"version": "v3"
}
] | 2010-11-05 | [
[
"Yang",
"Hyun Seok",
""
]
] | We find a closed form for Seiberg-Witten (SW) map between ordinary and noncommutative (NC) Dirac-Born-Infeld actions. We show that NC Maxwell action after the exact SW map can be regarded as ordinary Maxwell action coupling to a metric deformed by gauge fields. We also show that reversed procedure by inverse SW map leads to a similar interpretation in terms of induced NC geometry. This implies that noncommutativity in field theory can be interpreted as field dependent fluctuations of spacetime geometry, which genuinely realizes an interesting idea recently observed by Rivelles. |
1612.04745 | Ankit Vikrant | Ankit Vikrant | Exotic N dependent free energy of black brane solutions from 3D MSYM | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Guarino et al. found that dyonically-gauged N=8 supergravity arises
as a consistent truncation of massive type IIA supergravity when the gauge
group is chosen to be ISO(7). In particular, they found a critical point of the
supergravity that uplifted to the first explicit N = 2 $AdS_4$ massive IIA
background. Its free energy was also calculated. Though no black brane
solutions for this theory have been constructed yet, we nevertheless expect the
free energy of the black brane solutions to scale with the same N dependence as
the solution obtained by Guarino et al.. In this note, we will reproduce the
exotic N dependence of the free energy of such black brane solutions from field
theory at finite temperature using the Smilga-Wiseman approach. The free energy
expression thus obtained also tells us about the temperature dependence of free
energy of such black brane solutions in a given low temperature regime.
| [
{
"created": "Wed, 14 Dec 2016 17:42:43 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Sep 2017 20:37:28 GMT",
"version": "v2"
}
] | 2017-09-07 | [
[
"Vikrant",
"Ankit",
""
]
] | Recently, Guarino et al. found that dyonically-gauged N=8 supergravity arises as a consistent truncation of massive type IIA supergravity when the gauge group is chosen to be ISO(7). In particular, they found a critical point of the supergravity that uplifted to the first explicit N = 2 $AdS_4$ massive IIA background. Its free energy was also calculated. Though no black brane solutions for this theory have been constructed yet, we nevertheless expect the free energy of the black brane solutions to scale with the same N dependence as the solution obtained by Guarino et al.. In this note, we will reproduce the exotic N dependence of the free energy of such black brane solutions from field theory at finite temperature using the Smilga-Wiseman approach. The free energy expression thus obtained also tells us about the temperature dependence of free energy of such black brane solutions in a given low temperature regime. |
hep-th/9912189 | He Bing | Chen Ying, He Bing, Lin He, Wu Ji-Min | Gauge Symmetry from Integral Viewpoint | Latex 25 Pages, 1 figure | null | null | null | hep-th | null | The purpose of this paper is to investigate the gauge symmetry of classical
field theories in integral formalism. A gauge invariant theory is defined in
terms of the invariance of the physical observables under the coordinate
transformations in principal bundle space. Through the detailed study on the
property of non-Abelian parallel transportor under gauge transformations, we
show that it is not generally a two-point spinor, i.e. an operator to be
affected only by the gauge group elements at the two end points of the parallel
transport path, except for the pure gauge situation, and therefore the local
gauge symmetry for non-Abelian models is found to be broken in non-perturbative
domain. However, an Abelian gauge theory is proved to be strictly invariant
under local gauge transformation, as it is illustrated by the invariance of the
interference pattern of electrons in Aharonov-Bohm effect. The related issues
of the phenomenon are discussed.
| [
{
"created": "Tue, 21 Dec 1999 07:12:24 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Feb 2000 02:44:00 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Feb 2000 09:22:01 GMT",
"version": "v3"
},
{
"created": "Tue, 29 Feb 2000 06:34:33 GMT",
"version": "v4"
},
{
"c... | 2007-05-23 | [
[
"Ying",
"Chen",
""
],
[
"Bing",
"He",
""
],
[
"He",
"Lin",
""
],
[
"Ji-Min",
"Wu",
""
]
] | The purpose of this paper is to investigate the gauge symmetry of classical field theories in integral formalism. A gauge invariant theory is defined in terms of the invariance of the physical observables under the coordinate transformations in principal bundle space. Through the detailed study on the property of non-Abelian parallel transportor under gauge transformations, we show that it is not generally a two-point spinor, i.e. an operator to be affected only by the gauge group elements at the two end points of the parallel transport path, except for the pure gauge situation, and therefore the local gauge symmetry for non-Abelian models is found to be broken in non-perturbative domain. However, an Abelian gauge theory is proved to be strictly invariant under local gauge transformation, as it is illustrated by the invariance of the interference pattern of electrons in Aharonov-Bohm effect. The related issues of the phenomenon are discussed. |
1606.00336 | Sven Bjarke Gudnason | Sven Bjarke Gudnason, Muneto Nitta | Skyrmions confined as beads on a vortex ring | RevTeX: 44 pages, 26 figures; V2: typos corrected | Phys. Rev. D 94, 025008 (2016) | 10.1103/PhysRevD.94.025008 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A very simple, quadratic potential is used to construct vortex strings in a
generalized Skyrme model and an additional quadratic potential is used to embed
sine-Gordon-type halfkinks onto the string worldline, yielding half-Skyrmions
on a string. The strings are furthermore compactified onto a circle and the
halfkinks are forced to appear in pairs; in particular 2B halfkinks
(half-Skyrmions) will appear as beads on a ring with B being the number of
times the host vortex is twisted and also the baryon number (Skyrmion number)
from the bulk point of view. Finally, we construct an effective field theory on
the torus, describing the kinks living on the vortex rings.
| [
{
"created": "Wed, 1 Jun 2016 16:01:03 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jul 2016 10:57:55 GMT",
"version": "v2"
}
] | 2016-07-07 | [
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Nitta",
"Muneto",
""
]
] | A very simple, quadratic potential is used to construct vortex strings in a generalized Skyrme model and an additional quadratic potential is used to embed sine-Gordon-type halfkinks onto the string worldline, yielding half-Skyrmions on a string. The strings are furthermore compactified onto a circle and the halfkinks are forced to appear in pairs; in particular 2B halfkinks (half-Skyrmions) will appear as beads on a ring with B being the number of times the host vortex is twisted and also the baryon number (Skyrmion number) from the bulk point of view. Finally, we construct an effective field theory on the torus, describing the kinks living on the vortex rings. |
2306.09883 | Charles Thull | Simon Ekhammar, Joseph A. Minahan, Charles Thull | The asymptotic form of the Hagedorn temperature in planar
$\mathcal{N}=4$ super Yang-Mills | 15 pages, 3 figures. V2: Added references and fixed minor typos | null | null | UUITP-15/23, MIT-CTP/5573 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Using the supergravity dual and the plane-wave limit as a guide, we
conjecture the asymptotic large coupling form of the Hagedorn temperature for
planar $\mathcal{N}=4$ super Yang-Mills to order $1/\sqrt{\lambda}$. This is
two orders beyond the presently known behavior. Using the quantum spectral
curve procedure of Harmark and Wilhelm, we show that our conjectured form is in
excellent agreement with the numerical results.
| [
{
"created": "Fri, 16 Jun 2023 14:51:40 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jun 2023 15:50:30 GMT",
"version": "v2"
}
] | 2023-06-28 | [
[
"Ekhammar",
"Simon",
""
],
[
"Minahan",
"Joseph A.",
""
],
[
"Thull",
"Charles",
""
]
] | Using the supergravity dual and the plane-wave limit as a guide, we conjecture the asymptotic large coupling form of the Hagedorn temperature for planar $\mathcal{N}=4$ super Yang-Mills to order $1/\sqrt{\lambda}$. This is two orders beyond the presently known behavior. Using the quantum spectral curve procedure of Harmark and Wilhelm, we show that our conjectured form is in excellent agreement with the numerical results. |
0804.4501 | Biagio Lucini | Adi Armoni, Biagio Lucini, Agostino Patella and Claudio Pica | Lattice Study of Planar Equivalence: The Quark Condensate | 26 pages, 7 figures | Phys.Rev.D78:045019,2008 | 10.1103/PhysRevD.78.045019 | BNL-NT-08/12 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quenched SU(N) gauge theories with fermions in the two-index
symmetric, antisymmetric and the adjoint representations. Our main motivation
is to check whether at large number of colours those theories become
non-perturbatively equivalent. We prove the equivalence assuming that the
charge-conjugation symmetry is not broken in pure Yang-Mills theory. We then
carry out a quenched lattice simulation of the quark condensate in the
symmetric, antisymmetric and the adjoint representations for SU(2), SU(3),
SU(4), SU(6) and SU(8). We show that the data support the equivalence and
discuss the size of subleading corrections.
| [
{
"created": "Mon, 28 Apr 2008 22:49:11 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Armoni",
"Adi",
""
],
[
"Lucini",
"Biagio",
""
],
[
"Patella",
"Agostino",
""
],
[
"Pica",
"Claudio",
""
]
] | We study quenched SU(N) gauge theories with fermions in the two-index symmetric, antisymmetric and the adjoint representations. Our main motivation is to check whether at large number of colours those theories become non-perturbatively equivalent. We prove the equivalence assuming that the charge-conjugation symmetry is not broken in pure Yang-Mills theory. We then carry out a quenched lattice simulation of the quark condensate in the symmetric, antisymmetric and the adjoint representations for SU(2), SU(3), SU(4), SU(6) and SU(8). We show that the data support the equivalence and discuss the size of subleading corrections. |
hep-th/0006239 | Mihail Mihailescu | Antal Jevicki, Mihail Mihailescu, Sanjaye Ramgoolam | Noncommutative spheres and the AdS/CFT correspondence | 15 pages, harvmac big. Version 3 - references added | JHEP 0010 (2000) 008 | 10.1088/1126-6708/2000/10/008 | null | hep-th | null | We present direct arguments for non-commutativity of spheres in the AdS/CFT
correspondence. The discussion is based on results for the $S_N$ orbifold SCFT.
Concentrating on three point correlations (at finite $N$) we exhibit a
comparison with correlations on a non-commutative sphere. In this manner an
essential signature of non-commutativity is identified giving further support
for the original proposal of hep-th/9902059.
| [
{
"created": "Fri, 30 Jun 2000 00:21:04 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jul 2000 17:43:15 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Jul 2000 03:07:08 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Jevicki",
"Antal",
""
],
[
"Mihailescu",
"Mihail",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | We present direct arguments for non-commutativity of spheres in the AdS/CFT correspondence. The discussion is based on results for the $S_N$ orbifold SCFT. Concentrating on three point correlations (at finite $N$) we exhibit a comparison with correlations on a non-commutative sphere. In this manner an essential signature of non-commutativity is identified giving further support for the original proposal of hep-th/9902059. |
0705.3237 | Alvaro de Souza Dutra | Alvaro de Souza Dutra (UNESP/Campus de Guaratingueta) | Deformed solitons: The case of two coupled scalar fields | Work presented as a talk in XI International Conference on Symmetry
Methods in Physics (SYMPHYS-11)held in Prague, the Czech Republic, from 21 to
24 June 2004. This work is also available from the link:
http://www.jinr.dubna.su/publish/Proceedings/Burdik-2004/index.html | null | null | null | hep-th | null | In this work, we present a general procedure, which is able to generate new
exact solitonic models in 1+1 dimensions, from a known one, consisting of two
coupled scalar fields. An interesting consequence of the method, is that of the
appearing of nontrivial extensions, where the deformed systems presents other
BPS solitons than that appearing in the original model. Finally we take a
particular example, in order to check the above mentioned features.
| [
{
"created": "Tue, 22 May 2007 19:12:19 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dutra",
"Alvaro de Souza",
"",
"UNESP/Campus de Guaratingueta"
]
] | In this work, we present a general procedure, which is able to generate new exact solitonic models in 1+1 dimensions, from a known one, consisting of two coupled scalar fields. An interesting consequence of the method, is that of the appearing of nontrivial extensions, where the deformed systems presents other BPS solitons than that appearing in the original model. Finally we take a particular example, in order to check the above mentioned features. |
1710.08840 | Takashi Yanagisawa | Takashi Yanagisawa | Nambu-Goldstone bosons characterized by the order parameter in
spontaneous symmetry breaking | 3 figures | Journal of the Physical Society of Japan 86, 104711 (2017) | 10.7566/JPSJ.86.104711 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present explicitly a relation between the Nambu-Goldstone boson and the
order parameter in non-relativistic systems with spontaneous symmetry breaking.
We show that the Nambu-Goldstone bosons are characterized by transformation
property of the order parameter under symmetry transformation of a system. We
give an explicit formula for the Nambu-Goldstone boson for a general Lie group
$G$, and then the number of the Nambu-Goldstone boson is derived
straightforwardly from the symmetry of the order parameter, i.e. the type of
symmetry breaking. We show that the Ward-Takahashi identity is modified in the
presence of the Nambu-Goldstone boson, where the generalized Ward-Takahashi
identity includes the coupling (the vertex function) between fermions and
Nambu-Goldstone bosons. The closed equation for the Green's functions of
Nambu-Goldstone bosons is derived by introducing the fermion-Nambu-Goldstone
boson vertex function. Examples are given for $G=SU(2)$ (ferromagnetic), $U(1)$
(superconductor) and $SU(3)$ symmetry breaking.
| [
{
"created": "Mon, 23 Oct 2017 16:10:59 GMT",
"version": "v1"
}
] | 2017-10-25 | [
[
"Yanagisawa",
"Takashi",
""
]
] | We present explicitly a relation between the Nambu-Goldstone boson and the order parameter in non-relativistic systems with spontaneous symmetry breaking. We show that the Nambu-Goldstone bosons are characterized by transformation property of the order parameter under symmetry transformation of a system. We give an explicit formula for the Nambu-Goldstone boson for a general Lie group $G$, and then the number of the Nambu-Goldstone boson is derived straightforwardly from the symmetry of the order parameter, i.e. the type of symmetry breaking. We show that the Ward-Takahashi identity is modified in the presence of the Nambu-Goldstone boson, where the generalized Ward-Takahashi identity includes the coupling (the vertex function) between fermions and Nambu-Goldstone bosons. The closed equation for the Green's functions of Nambu-Goldstone bosons is derived by introducing the fermion-Nambu-Goldstone boson vertex function. Examples are given for $G=SU(2)$ (ferromagnetic), $U(1)$ (superconductor) and $SU(3)$ symmetry breaking. |
1012.5431 | Yuri V. Kovchegov | Hovhannes R. Grigoryan, Yuri V. Kovchegov | Long-Range Rapidity Correlations in Heavy Ion Collisions at Strong
Coupling from AdS/CFT | 32 pages, 2 figures; v2: typos corrected, references added | JHEP 1104:010,2011 | 10.1007/JHEP04(2011)010 | null | hep-th hep-ph nucl-ex nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use AdS/CFT correspondence to study two-particle correlations in heavy ion
collisions at strong coupling. Modeling the colliding heavy ions by shock waves
on the gravity side, we observe that at early times after the collision there
are long-range rapidity correlations present in the two-point functions for the
glueball and the energy-momentum tensor operators. We estimate rapidity
correlations at later times by assuming that the evolution of the system is
governed by ideal Bjorken hydrodynamics, and find that glueball correlations in
this state are suppressed at large rapidity intervals, suggesting that
late-time medium dynamics can not "wash out" the long-range rapidity
correlations that were formed at early times. These results may provide an
insight on the nature of the "ridge" correlations observed in heavy ion
collision experiments at RHIC and LHC, and in proton-proton collisions at LHC.
| [
{
"created": "Fri, 24 Dec 2010 20:48:51 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Apr 2011 18:12:41 GMT",
"version": "v2"
}
] | 2011-04-07 | [
[
"Grigoryan",
"Hovhannes R.",
""
],
[
"Kovchegov",
"Yuri V.",
""
]
] | We use AdS/CFT correspondence to study two-particle correlations in heavy ion collisions at strong coupling. Modeling the colliding heavy ions by shock waves on the gravity side, we observe that at early times after the collision there are long-range rapidity correlations present in the two-point functions for the glueball and the energy-momentum tensor operators. We estimate rapidity correlations at later times by assuming that the evolution of the system is governed by ideal Bjorken hydrodynamics, and find that glueball correlations in this state are suppressed at large rapidity intervals, suggesting that late-time medium dynamics can not "wash out" the long-range rapidity correlations that were formed at early times. These results may provide an insight on the nature of the "ridge" correlations observed in heavy ion collision experiments at RHIC and LHC, and in proton-proton collisions at LHC. |
2403.16658 | Parthajit Biswas | Sayantani Bhattacharyya, Parthajit Biswas, and Nilay Kundu | A classical Bousso bound for higher derivative corrections to general
relativity | 18 pages | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We prove the classical version of the covariant entropy bound (also known as
the Bousso bound) in arbitrary diffeomorphism invariant gravitational theories.
We focus on theories for which the higher derivative terms are considered as
small corrections in the Lagrangian to Einstein's two-derivative theory of
general relativity (GR). Even if the higher derivative corrections are treated
perturbatively, we provide instances of specific configurations for which they
can potentially violate the Bousso bound. To tackle this obstruction, we
propose a modification in the Bousso bound that incorporates the offending
contributions from the higher derivative corrections. Our proposed
modifications are equivalent to replacing the Bekenstein-Hawking area term by
Wald's definition (with dynamical corrections as suggested by Wall) for the
black hole entropy. Hence, the modifications are physically well motivated by
results from the laws of black hole mechanics in higher derivative theories.
| [
{
"created": "Mon, 25 Mar 2024 11:51:24 GMT",
"version": "v1"
}
] | 2024-03-26 | [
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Biswas",
"Parthajit",
""
],
[
"Kundu",
"Nilay",
""
]
] | We prove the classical version of the covariant entropy bound (also known as the Bousso bound) in arbitrary diffeomorphism invariant gravitational theories. We focus on theories for which the higher derivative terms are considered as small corrections in the Lagrangian to Einstein's two-derivative theory of general relativity (GR). Even if the higher derivative corrections are treated perturbatively, we provide instances of specific configurations for which they can potentially violate the Bousso bound. To tackle this obstruction, we propose a modification in the Bousso bound that incorporates the offending contributions from the higher derivative corrections. Our proposed modifications are equivalent to replacing the Bekenstein-Hawking area term by Wald's definition (with dynamical corrections as suggested by Wall) for the black hole entropy. Hence, the modifications are physically well motivated by results from the laws of black hole mechanics in higher derivative theories. |
hep-th/0305207 | Xin-zhou Li | Jian-gang Hao, Xin-zhou Li | Phantom with Born-Infield type Lagrangian | 13 pages, 6 figures, Reference updated, the final version will be
published in Phys. Rev. D | Phys.Rev. D68 (2003) 043501 | 10.1103/PhysRevD.68.043501 | null | hep-th astro-ph gr-qc | null | Recent analysis of the observation data indicates that the equation of state
of the dark energy might be smaller than -1, which leads to the introduction of
phantom models featured by its negative kinetic energy to account for the
regime of equation of state $w<-1$. In this paper, we generalize the idea to
the Born-Infield type Lagrangian with negative kinetic energy term and give the
condition for the potential, under which the late time attractor solution
exists and also analyze a viable cosmological model in such a scheme.
| [
{
"created": "Fri, 23 May 2003 07:29:49 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 2003 05:33:15 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Hao",
"Jian-gang",
""
],
[
"Li",
"Xin-zhou",
""
]
] | Recent analysis of the observation data indicates that the equation of state of the dark energy might be smaller than -1, which leads to the introduction of phantom models featured by its negative kinetic energy to account for the regime of equation of state $w<-1$. In this paper, we generalize the idea to the Born-Infield type Lagrangian with negative kinetic energy term and give the condition for the potential, under which the late time attractor solution exists and also analyze a viable cosmological model in such a scheme. |
1009.6185 | Yuji Okawa | Michael Kiermaier, Yuji Okawa, Pablo Soler | Solutions from boundary condition changing operators in open string
field theory | 21 pages, 1 figure, LaTeX2e; v2: minor changes, version published in
JHEP | JHEP 1103:122,2011 | 10.1007/JHEP03(2011)122 | PUPT-2350, UT-Komaba/10-6, IFT-UAM/CSIC-10-51 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct analytic solutions of open string field theory using boundary
condition changing (bcc) operators. We focus on bcc operators with vanishing
conformal weight such as those for regular marginal deformations of the
background. For any Fock space state phi, the component string field <phi,Psi>
of the solution Psi exhibits a remarkable factorization property: it is given
by the matter three-point function of phi with a pair of bcc operators,
multiplied by a universal function that only depends on the conformal weight of
phi. This universal function is given by a simple integral expression that can
be computed once and for all. The three-point functions with bcc operators are
thus the only needed physical input of the particular open string background
described by the solution. We illustrate our solution with the example of the
rolling tachyon profile, for which we prove convergence analytically. The form
of our solution, which involves bcc operators instead of explicit insertions of
the marginal operator, can be a natural starting point for the construction of
analytic solutions for arbitrary backgrounds.
| [
{
"created": "Thu, 30 Sep 2010 16:19:47 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2011 03:01:29 GMT",
"version": "v2"
}
] | 2011-03-31 | [
[
"Kiermaier",
"Michael",
""
],
[
"Okawa",
"Yuji",
""
],
[
"Soler",
"Pablo",
""
]
] | We construct analytic solutions of open string field theory using boundary condition changing (bcc) operators. We focus on bcc operators with vanishing conformal weight such as those for regular marginal deformations of the background. For any Fock space state phi, the component string field <phi,Psi> of the solution Psi exhibits a remarkable factorization property: it is given by the matter three-point function of phi with a pair of bcc operators, multiplied by a universal function that only depends on the conformal weight of phi. This universal function is given by a simple integral expression that can be computed once and for all. The three-point functions with bcc operators are thus the only needed physical input of the particular open string background described by the solution. We illustrate our solution with the example of the rolling tachyon profile, for which we prove convergence analytically. The form of our solution, which involves bcc operators instead of explicit insertions of the marginal operator, can be a natural starting point for the construction of analytic solutions for arbitrary backgrounds. |
2101.08355 | Pablo Le\'on | M.P. Garcia del Moral, P. Leon, A. Restuccia | The M2-brane over the twisted torus with punctures | Proceeding SOCHIFI 2020 (Sociedad Chilena de F\'isica). 6 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the formulation of the bosonic Hamiltonian M2-brane compactified
on a twice punctured torus following the procedure proposed in \cite{mpgm14}.
In this work we analyse two possible metric choice, different from the one used
in \cite{mpgm14}, over the target space and study some of the properties of the
corresponding Hamiltonian.
| [
{
"created": "Wed, 20 Jan 2021 22:58:34 GMT",
"version": "v1"
}
] | 2021-01-22 | [
[
"del Moral",
"M. P. Garcia",
""
],
[
"Leon",
"P.",
""
],
[
"Restuccia",
"A.",
""
]
] | We present the formulation of the bosonic Hamiltonian M2-brane compactified on a twice punctured torus following the procedure proposed in \cite{mpgm14}. In this work we analyse two possible metric choice, different from the one used in \cite{mpgm14}, over the target space and study some of the properties of the corresponding Hamiltonian. |
hep-th/0211128 | Petr Lavrov | B. Geyer, P. Lavrov, A. Nersessian | Extended BRST quantization in general coordinates | LaTex, 7 pages; Contribution to the Proceedings of the Third
International Sakharov Conference on Physics (Moscow, Lebedev Institute, June
24-29, 2002), minor corrections | null | null | null | hep-th | null | We propose an extended BRST invariant Lagrangian quantization scheme of
general gauge theories based on explicit realization of "modified triplectic
algebra" in general coordinates. All the known Lagrangian quantization schemes
based on the extended BRST symmetry are obtained by specifying the (free)
parameters of that method.
| [
{
"created": "Thu, 14 Nov 2002 06:59:40 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Nov 2002 05:44:39 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Geyer",
"B.",
""
],
[
"Lavrov",
"P.",
""
],
[
"Nersessian",
"A.",
""
]
] | We propose an extended BRST invariant Lagrangian quantization scheme of general gauge theories based on explicit realization of "modified triplectic algebra" in general coordinates. All the known Lagrangian quantization schemes based on the extended BRST symmetry are obtained by specifying the (free) parameters of that method. |
1703.02989 | Alba Cervera-Lierta | Alba Cervera-Lierta, Jos\'e I. Latorre, Juan Rojo and Luca Rottoli | Maximal Entanglement in High Energy Physics | five pages, one figure | SciPost Phys. 3, 036 (2017) | 10.21468/SciPostPhys.3.5.036 | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze how maximal entanglement is generated at the fundamental level in
QED by studying correlations between helicity states in tree-level scattering
processes at high energy. We demonstrate that two mechanisms for the generation
of maximal entanglement are at work: i) $s$-channel processes where the virtual
photon carries equal overlaps of the helicities of the final state particles,
and ii) the indistinguishable superposition between $t$- and $u$-channels. We
then study whether requiring maximal entanglement constrains the coupling
structure of QED and the weak interactions. In the case of photon-electron
interactions unconstrained by gauge symmetry, we show how this requirement
allows reproducing QED. For $Z$-mediated weak scattering, the maximal
entanglement principle leads to non-trivial predictions for the value of the
weak mixing angle $\theta_W$. Our results are a first step towards
understanding the connections between maximal entanglement and the fundamental
symmetries of high-energy physics.
| [
{
"created": "Wed, 8 Mar 2017 19:01:39 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jun 2017 16:00:55 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Sep 2017 14:19:48 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Nov 2017 13:35:34 GMT",
"version": "v4"
},
{
"crea... | 2017-11-27 | [
[
"Cervera-Lierta",
"Alba",
""
],
[
"Latorre",
"José I.",
""
],
[
"Rojo",
"Juan",
""
],
[
"Rottoli",
"Luca",
""
]
] | We analyze how maximal entanglement is generated at the fundamental level in QED by studying correlations between helicity states in tree-level scattering processes at high energy. We demonstrate that two mechanisms for the generation of maximal entanglement are at work: i) $s$-channel processes where the virtual photon carries equal overlaps of the helicities of the final state particles, and ii) the indistinguishable superposition between $t$- and $u$-channels. We then study whether requiring maximal entanglement constrains the coupling structure of QED and the weak interactions. In the case of photon-electron interactions unconstrained by gauge symmetry, we show how this requirement allows reproducing QED. For $Z$-mediated weak scattering, the maximal entanglement principle leads to non-trivial predictions for the value of the weak mixing angle $\theta_W$. Our results are a first step towards understanding the connections between maximal entanglement and the fundamental symmetries of high-energy physics. |
0708.1983 | Peter Freund | Peter G. O. Freund | Two-component Duality and Strings | added references | null | null | null | hep-th hep-ph physics.hist-ph | null | A phenomenologically successful two-component hadronic duality picture led to
Veneziano's amplitude, the fundamental first step to string theory. This
picture is briefly recalled and its two components are identified as the open
strings (mesons and baryons) and closed strings (Pomeron).
| [
{
"created": "Wed, 15 Aug 2007 02:34:35 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2007 15:58:23 GMT",
"version": "v2"
}
] | 2007-09-12 | [
[
"Freund",
"Peter G. O.",
""
]
] | A phenomenologically successful two-component hadronic duality picture led to Veneziano's amplitude, the fundamental first step to string theory. This picture is briefly recalled and its two components are identified as the open strings (mesons and baryons) and closed strings (Pomeron). |
hep-th/9810119 | Fiorenzo Bastianelli | Fiorenzo Bastianelli, Olindo Corradini | On Mode Regularization of the Configuration Space Path Integral in
Curved Space | 16 pages, Latex | Phys.Rev. D60 (1999) 044014 | 10.1103/PhysRevD.60.044014 | ITP-SB-98-61 | hep-th | null | The path integral representation of the transition amplitude for a particle
moving in curved space has presented unexpected challenges since the
introduction of path integrals by Feynman fifty years ago. In this paper we
discuss and review mode regularization of the configuration space path
integral, and present a three loop computation of the transition amplitude to
test with success the consistency of such a regularization. Key features of the
method are the use of the Lee-Yang ghost fields, which guarantee a consistent
treatment of the non-trivial path integral measure at higher loops, and an
effective potential specific to mode regularization which arises at two loops.
We also perform the computation of the transition amplitude using the
regularization of the path integral by time discretization, which also makes
use of Lee-Yang ghost fields and needs its own specific effective potential.
This computation is shown to reproduce the same final result as the one
performed in mode regularization.
| [
{
"created": "Thu, 15 Oct 1998 18:17:13 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Corradini",
"Olindo",
""
]
] | The path integral representation of the transition amplitude for a particle moving in curved space has presented unexpected challenges since the introduction of path integrals by Feynman fifty years ago. In this paper we discuss and review mode regularization of the configuration space path integral, and present a three loop computation of the transition amplitude to test with success the consistency of such a regularization. Key features of the method are the use of the Lee-Yang ghost fields, which guarantee a consistent treatment of the non-trivial path integral measure at higher loops, and an effective potential specific to mode regularization which arises at two loops. We also perform the computation of the transition amplitude using the regularization of the path integral by time discretization, which also makes use of Lee-Yang ghost fields and needs its own specific effective potential. This computation is shown to reproduce the same final result as the one performed in mode regularization. |
2208.07000 | Changhyun Ahn | Changhyun Ahn | The Structure of the ${\cal N}=4$ Supersymmetric Linear
$W_{\infty}[\lambda]$ Algebra | 79 pages; The previous section 5 is moved to the section 1 with some
minor modifications and to appear in EPJC | null | 10.1140/epjc/s10052-023-11752-z | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | For the vanishing deformation parameter $\lambda$, the full structure of the
(anti)commutator relations in the ${\cal N}=4$ supersymmetric linear
$W_{\infty}[\lambda=0]$ algebra is obtained for arbitrary weights $h_1$ and
$h_2$ of the currents appearing on the left hand sides in these
(anti)commutators. The $w_{1+\infty}$ algebra can be seen from this by taking
the vanishing limit of other deformation parameter $q$ with the proper
contractions of the currents. For the nonzero $\lambda$, the complete structure
of the ${\cal N}=4$ supersymmetric linear $W_{\infty}[\lambda]$ algebra is
determined for the arbitrary weight $h_1$ together with the constraint $h_1-3
\leq h_2 \leq h_1+1$. The additional structures on the right hand sides in the
(anti)commutators, compared to the above $\lambda=0$ case, arise for the
arbitrary weights $h_1$ and $h_2$ where the weight $h_2$ is outside of above
region.
| [
{
"created": "Mon, 15 Aug 2022 04:16:19 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 2023 00:52:03 GMT",
"version": "v2"
}
] | 2023-08-02 | [
[
"Ahn",
"Changhyun",
""
]
] | For the vanishing deformation parameter $\lambda$, the full structure of the (anti)commutator relations in the ${\cal N}=4$ supersymmetric linear $W_{\infty}[\lambda=0]$ algebra is obtained for arbitrary weights $h_1$ and $h_2$ of the currents appearing on the left hand sides in these (anti)commutators. The $w_{1+\infty}$ algebra can be seen from this by taking the vanishing limit of other deformation parameter $q$ with the proper contractions of the currents. For the nonzero $\lambda$, the complete structure of the ${\cal N}=4$ supersymmetric linear $W_{\infty}[\lambda]$ algebra is determined for the arbitrary weight $h_1$ together with the constraint $h_1-3 \leq h_2 \leq h_1+1$. The additional structures on the right hand sides in the (anti)commutators, compared to the above $\lambda=0$ case, arise for the arbitrary weights $h_1$ and $h_2$ where the weight $h_2$ is outside of above region. |
hep-th/0505208 | Amir-Kian Kashani-Poor | Amir-Kian Kashani-Poor, Alessandro Tomasiello | A Stringy Test of Flux-Induced Isometry Gauging | 14 pages, 1 figure; v2: references added | Nucl.Phys. B728 (2005) 135-147 | 10.1016/j.nuclphysb.2005.08.040 | SLAC-PUB-11233, SU-ITP-05/17 | hep-th | null | Supergravity analysis suggests that the effect of fluxes in string theory
compactifications is to gauge isometries of the scalar manifold. However,
isometries are generically broken by brane instanton effects. Here we
demonstrate how fluxes protect exactly those isometries from quantum
corrections which are gauged according to the classical supergravity analysis.
We also argue that all other isometries are generically broken.
| [
{
"created": "Mon, 23 May 2005 20:31:41 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jun 2005 21:13:43 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Kashani-Poor",
"Amir-Kian",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | Supergravity analysis suggests that the effect of fluxes in string theory compactifications is to gauge isometries of the scalar manifold. However, isometries are generically broken by brane instanton effects. Here we demonstrate how fluxes protect exactly those isometries from quantum corrections which are gauged according to the classical supergravity analysis. We also argue that all other isometries are generically broken. |
2303.11852 | Mikhail Podoinitsyn | I.L. Buchbinder, A.P. Isaev, M.A. Podoinitsyn, S.A. Fedoruk | Generalization of the Bargmann-Wigner construction for infinite spin
fields | 1+29 pages, v2: typos corrected | null | 10.1134/S0040577923070061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a generalization of the Wigner scheme for constructing the
relativistic fields corresponding to irreducible representations of the
four-dimensional Poincar\'{e} group with infinite spin. The fields are
parameterized by a vector and an additional commuting vector or spinor
variable. The equations of motion for fields of infinite spin are derived in
both formulations under consideration.
| [
{
"created": "Tue, 21 Mar 2023 13:51:01 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Apr 2023 16:29:09 GMT",
"version": "v2"
}
] | 2023-08-09 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Isaev",
"A. P.",
""
],
[
"Podoinitsyn",
"M. A.",
""
],
[
"Fedoruk",
"S. A.",
""
]
] | We develop a generalization of the Wigner scheme for constructing the relativistic fields corresponding to irreducible representations of the four-dimensional Poincar\'{e} group with infinite spin. The fields are parameterized by a vector and an additional commuting vector or spinor variable. The equations of motion for fields of infinite spin are derived in both formulations under consideration. |
2209.00206 | Takashi Tsuda | Tadashi Takayanagi, Takashi Tsuda | Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy | 54 pages, 8 figures | null | 10.1007/JHEP12(2022)004 | YITP-22-91, IPMU22-0042 | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | In this paper we study the properties of two-dimensional CFTs defined by
cyclic and symmetric orbifolds of free Dirac fermions, especially by focusing
on the partition function and entanglement entropy. Via the bosonization, we
construct the twist operators which glue two complex planes to calculate the
partition function of Z_2 orbifold CFT on a torus. We also find an expression
of Z_N cyclic orbifold in terms of Hecke operators, which provides an explicit
relation between the partition functions of cyclic orbifolds and those of
symmetric ones. We compute the entanglement entropy and Renyi entropy in cyclic
orbifolds on a circle both for finite temperature states and for time-dependent
states under quantum quenches. We find that the replica method calculation is
highly non-trivial and new because of the contributions from replicas with
different boundary conditions. We find the full expression for the Z_2 orbifold
and show that the periodicity gets doubled. Finally, we discuss extensions of
our results on entanglement entropy to symmetric orbifold CFTs and make a
heuristic argument towards holographic CFTs.
| [
{
"created": "Thu, 1 Sep 2022 03:44:20 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Nov 2022 02:59:57 GMT",
"version": "v2"
}
] | 2022-12-21 | [
[
"Takayanagi",
"Tadashi",
""
],
[
"Tsuda",
"Takashi",
""
]
] | In this paper we study the properties of two-dimensional CFTs defined by cyclic and symmetric orbifolds of free Dirac fermions, especially by focusing on the partition function and entanglement entropy. Via the bosonization, we construct the twist operators which glue two complex planes to calculate the partition function of Z_2 orbifold CFT on a torus. We also find an expression of Z_N cyclic orbifold in terms of Hecke operators, which provides an explicit relation between the partition functions of cyclic orbifolds and those of symmetric ones. We compute the entanglement entropy and Renyi entropy in cyclic orbifolds on a circle both for finite temperature states and for time-dependent states under quantum quenches. We find that the replica method calculation is highly non-trivial and new because of the contributions from replicas with different boundary conditions. We find the full expression for the Z_2 orbifold and show that the periodicity gets doubled. Finally, we discuss extensions of our results on entanglement entropy to symmetric orbifold CFTs and make a heuristic argument towards holographic CFTs. |
0708.1379 | Sachindeo Vaidya | A. P. Balachandran, A. Pinzul, B. A. Qureshi and S. Vaidya | S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance | 15 pages, LaTeX, 1 figure | Phys.Rev.D77:025020,2008 | 10.1103/PhysRevD.77.025020 | SU-4252-861, IISc/CHEP/12/07 | hep-th gr-qc hep-ph math-ph math.MP math.QA | null | Twisted quantum field theories on the Groenewold-Moyal plane are known to be
non-local. Despite this non-locality, it is possible to define a generalized
notion of causality. We show that interacting quantum field theories that
involve only couplings between matter fields, or between matter fields and
minimally coupled U(1) gauge fields are causal in this sense. On the other
hand, interactions between matter fields and non-abelian gauge fields violate
this generalized causality. We derive the modified Feynman rules emergent from
these features. They imply that interactions of matter with non-abelian gauge
fields are not Lorentz- and CPT-invariant.
| [
{
"created": "Fri, 10 Aug 2007 08:25:57 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Aug 2007 04:18:27 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Balachandran",
"A. P.",
""
],
[
"Pinzul",
"A.",
""
],
[
"Qureshi",
"B. A.",
""
],
[
"Vaidya",
"S.",
""
]
] | Twisted quantum field theories on the Groenewold-Moyal plane are known to be non-local. Despite this non-locality, it is possible to define a generalized notion of causality. We show that interacting quantum field theories that involve only couplings between matter fields, or between matter fields and minimally coupled U(1) gauge fields are causal in this sense. On the other hand, interactions between matter fields and non-abelian gauge fields violate this generalized causality. We derive the modified Feynman rules emergent from these features. They imply that interactions of matter with non-abelian gauge fields are not Lorentz- and CPT-invariant. |
hep-th/0408122 | Jerome P. Gauntlett | Jerome P. Gauntlett and Jan B. Gutowski | General Concentric Black Rings | 8 pages, minor alterations, typos corrected. Version to be published
in PRD | Phys.Rev. D71 (2005) 045002 | 10.1103/PhysRevD.71.045002 | null | hep-th | null | Supersymmetric black ring solutions of five dimensional supergravity coupled
to an arbitrary number of vector multiplets are constructed. The solutions are
asymptotically flat and describe configurations of concentric black rings which
have regular horizons with topology $S^1 \times S^2$ and no closed time-like
curves at the horizons.
| [
{
"created": "Mon, 16 Aug 2004 19:46:31 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Aug 2004 19:32:42 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Feb 2005 00:05:15 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Gauntlett",
"Jerome P.",
""
],
[
"Gutowski",
"Jan B.",
""
]
] | Supersymmetric black ring solutions of five dimensional supergravity coupled to an arbitrary number of vector multiplets are constructed. The solutions are asymptotically flat and describe configurations of concentric black rings which have regular horizons with topology $S^1 \times S^2$ and no closed time-like curves at the horizons. |
2012.10551 | Lat\'evi Mohamed Lawson | Lat\'evi Mohamed Lawson | Position-dependent mass in strong quantum gravitational background
fields | 18 pages | null | 10.1088/1751-8121/ac3787 | null | hep-th cond-mat.other quant-ph | http://creativecommons.org/licenses/by-nc-nd/4.0/ | More recently, we have proposed a set of noncommutative space that describes
the quantum gravity at the Planck scale [J. Phys. A: Math. Theor. 53, 115303
(2020)]. The interesting significant result we found is that, the generalized
uncertainty principle induces a maximal measurable length of quantum gravity.
This measurement revealed strong quantum gravitational effects at this scale
and predicted a detection of gravity particles with low energies. In the
present paper, to make evidence this prediction, we study in this space, the
dynamics of a particle with position-dependent mass (PDM) trapped in an
infinite square well. We show that, by increasing the quantum gravitational
effect, the PDM of the particle increases and induces deformations of the
quantum energy levels. These deformations are more pronounced as one increases
the quantum levels allowing, the particle to jump from one state to another
with low energies and with high probability densities.
| [
{
"created": "Fri, 18 Dec 2020 23:18:32 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2022 17:14:36 GMT",
"version": "v2"
}
] | 2022-02-01 | [
[
"Lawson",
"Latévi Mohamed",
""
]
] | More recently, we have proposed a set of noncommutative space that describes the quantum gravity at the Planck scale [J. Phys. A: Math. Theor. 53, 115303 (2020)]. The interesting significant result we found is that, the generalized uncertainty principle induces a maximal measurable length of quantum gravity. This measurement revealed strong quantum gravitational effects at this scale and predicted a detection of gravity particles with low energies. In the present paper, to make evidence this prediction, we study in this space, the dynamics of a particle with position-dependent mass (PDM) trapped in an infinite square well. We show that, by increasing the quantum gravitational effect, the PDM of the particle increases and induces deformations of the quantum energy levels. These deformations are more pronounced as one increases the quantum levels allowing, the particle to jump from one state to another with low energies and with high probability densities. |
hep-th/9110005 | Steve Carlip | S. Carlip and I. I. Kogan | Three-Dimensional Gravity and String Ghosts | 6 pages | Phys.Rev.Lett.67:3647-3649,1991 | 10.1103/PhysRevLett.67.3647 | null | hep-th | null | It is known that much of the structure of string theory can be derived from
three-dimensional topological field theory and gravity. We show here that, at
least for simple topologies, the string diffeomorphism ghosts can also be
explained in terms of three-dimensional physics.
| [
{
"created": "Tue, 1 Oct 1991 17:52:21 GMT",
"version": "v1"
}
] | 2010-04-28 | [
[
"Carlip",
"S.",
""
],
[
"Kogan",
"I. I.",
""
]
] | It is known that much of the structure of string theory can be derived from three-dimensional topological field theory and gravity. We show here that, at least for simple topologies, the string diffeomorphism ghosts can also be explained in terms of three-dimensional physics. |
hep-th/0107023 | H. Falomir | H. Falomir and K. R\'ebora | Casimir energy for spherically symmetric dispersive dielectric media | RevTeX, 23 pages. (Typos corrected.) | null | null | La Plata TH 0108 | hep-th math-ph math.MP quant-ph | null | We consider the vacuum energy of the electromagnetic field in the background
of spherically symmetric dielectrics, subject to a cut-off frequency in the
dispersion relations. The effect of this frequency dependent boundary condition
between media is described in terms of the {\it incomplete} $\zeta$-functions
of the problem. The use of the Debye asymptotic expansion for Bessel functions
allows to determine the dominant (volume, area, ...) terms in the Casimir
energy. The application of these expressions to the case of a gas bubble
immersed in water is discussed, and results consistent with Schwinger's
proposal about the role the Casimir energy plays in sonoluminescence are found.
PACS: 03.70.+k,12.20.Ds,78.60.Mq
| [
{
"created": "Tue, 3 Jul 2001 19:51:41 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jul 2001 19:39:16 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Falomir",
"H.",
""
],
[
"Rébora",
"K.",
""
]
] | We consider the vacuum energy of the electromagnetic field in the background of spherically symmetric dielectrics, subject to a cut-off frequency in the dispersion relations. The effect of this frequency dependent boundary condition between media is described in terms of the {\it incomplete} $\zeta$-functions of the problem. The use of the Debye asymptotic expansion for Bessel functions allows to determine the dominant (volume, area, ...) terms in the Casimir energy. The application of these expressions to the case of a gas bubble immersed in water is discussed, and results consistent with Schwinger's proposal about the role the Casimir energy plays in sonoluminescence are found. PACS: 03.70.+k,12.20.Ds,78.60.Mq |
hep-th/0408199 | Haji Ahmedov | H. Ahmedov and I. H. Duru | Casimir Energy in a Conical Wedge and a Conical Cavity | 9 pages, 2 figures | J.Math.Phys. 46 (2005) 022304 | 10.1063/1.1835547 | null | hep-th | null | Casimir energy for a massless scalar field for a conical wedge and a conical
cavity are calculated. The group generated by the images is employed in
deriving the Green functions as well as the wave functions and the energy
spectrum.
| [
{
"created": "Thu, 26 Aug 2004 13:24:55 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Ahmedov",
"H.",
""
],
[
"Duru",
"I. H.",
""
]
] | Casimir energy for a massless scalar field for a conical wedge and a conical cavity are calculated. The group generated by the images is employed in deriving the Green functions as well as the wave functions and the energy spectrum. |
2001.05737 | Matteo Baggioli | Martin Ammon, Matteo Baggioli, Se\'an Gray, Sebastian Grieninger,
Akash Jain | On the Hydrodynamic Description of Holographic Viscoelastic Models | minor improvements, references added, matches the published version
in Physics Letters B | Physics Letters B Volume 808, 10 September 2020, 135691 | 10.1016/j.physletb.2020.135691 | IFT-UAM/CSIC-20-2 | hep-th cond-mat.soft cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the correct dual hydrodynamic description of homogeneous
holographic models with spontaneously broken translations must include the
so-called "strain pressure" -- a novel transport coefficient proposed recently.
Taking this new ingredient into account, we investigate the near-equilibrium
dynamics of a large class of holographic models and faithfully reproduce all
the hydrodynamic modes present in the quasinormal mode spectrum. Moreover,
while strain pressure is characteristic of equilibrium configurations which do
not minimise the free energy, we argue and show that it also affects models
with no background strain, through its temperature derivatives. In summary, we
provide a first complete matching between the holographic models with
spontaneously broken translations and their effective hydrodynamic description.
| [
{
"created": "Thu, 16 Jan 2020 11:07:12 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2020 09:54:57 GMT",
"version": "v2"
}
] | 2020-12-29 | [
[
"Ammon",
"Martin",
""
],
[
"Baggioli",
"Matteo",
""
],
[
"Gray",
"Seán",
""
],
[
"Grieninger",
"Sebastian",
""
],
[
"Jain",
"Akash",
""
]
] | We show that the correct dual hydrodynamic description of homogeneous holographic models with spontaneously broken translations must include the so-called "strain pressure" -- a novel transport coefficient proposed recently. Taking this new ingredient into account, we investigate the near-equilibrium dynamics of a large class of holographic models and faithfully reproduce all the hydrodynamic modes present in the quasinormal mode spectrum. Moreover, while strain pressure is characteristic of equilibrium configurations which do not minimise the free energy, we argue and show that it also affects models with no background strain, through its temperature derivatives. In summary, we provide a first complete matching between the holographic models with spontaneously broken translations and their effective hydrodynamic description. |
hep-th/0607218 | Sebastian Franco | Sebastian Franco, Inaki Garcia-Etxebarria and Angel M. Uranga | Non-supersymmetric Meta-stable Vacua from Brane Configurations | 27 pages, 8 figures. Revised version, references added, v4: Added ref
and a comment on the M-theory lift | JHEP 0701:085,2007 | 10.1088/1126-6708/2007/01/085 | null | hep-th | null | We construct configurations of NS-, D4-, and D6-branes in type IIA string
theory, realizing the recently discussed non-supersymmetric meta-stable minimum
of 4d N=1 SU(N_c) super-Yang-Mills theories with massive flavors. We discuss
their lift to M-theory and the mechanism of pseudo-moduli stabilization. We
extend the construction to many other examples of meta-stable minima, including
the SO/Sp theories, SU(N_c) with matter in two-index tensor representations,
and to a chiral gauge theory.
| [
{
"created": "Wed, 26 Jul 2006 19:52:02 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2006 21:06:55 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Aug 2006 16:37:40 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Sep 2006 08:27:01 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Franco",
"Sebastian",
""
],
[
"Garcia-Etxebarria",
"Inaki",
""
],
[
"Uranga",
"Angel M.",
""
]
] | We construct configurations of NS-, D4-, and D6-branes in type IIA string theory, realizing the recently discussed non-supersymmetric meta-stable minimum of 4d N=1 SU(N_c) super-Yang-Mills theories with massive flavors. We discuss their lift to M-theory and the mechanism of pseudo-moduli stabilization. We extend the construction to many other examples of meta-stable minima, including the SO/Sp theories, SU(N_c) with matter in two-index tensor representations, and to a chiral gauge theory. |
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