id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9310134 | null | B.Rusakov | Wilson Loops in Large N QCD on a Sphere | Phys.Lett.B329 (1994) 338 (minor corrections in accordance to
published version, several Latex figures are removed and available upon
request) | Phys.Lett. B329 (1994) 338-344 | 10.1016/0370-2693(94)90782-X | null | hep-th | null | Wilson loop averages of pure gauge QCD at large N on a sphere are calculated
by means of Makeenko-Migdal loop equation.
| [
{
"created": "Wed, 20 Oct 1993 19:35:00 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 1994 18:02:55 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Rusakov",
"B.",
""
]
] | Wilson loop averages of pure gauge QCD at large N on a sphere are calculated by means of Makeenko-Migdal loop equation. |
hep-th/9905024 | Moshe Rozali | Ilka Brunner, Arvind Rajaraman and Moshe Rozali | D-branes on Asymmetric Orbifolds | 14 pages, latex, added comments and references | Nucl.Phys.B558:205-215,1999 | 10.1016/S0550-3213(99)00376-4 | RU-99-16 | hep-th | null | We construct D-brane states on an asymmetric orbifold of type IIA on a
four-torus, which is modded out by T-duality. We find explicit boundary states
charged under the twisted sector gauge fields. Unlike other cases, the boundary
states involve an explicit dependence on the twist fields. The D-brane spectrum
is consistent with the model being equivalent to type IIA on a four-torus.
| [
{
"created": "Tue, 4 May 1999 23:30:37 GMT",
"version": "v1"
},
{
"created": "Wed, 5 May 1999 19:48:43 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Brunner",
"Ilka",
""
],
[
"Rajaraman",
"Arvind",
""
],
[
"Rozali",
"Moshe",
""
]
] | We construct D-brane states on an asymmetric orbifold of type IIA on a four-torus, which is modded out by T-duality. We find explicit boundary states charged under the twisted sector gauge fields. Unlike other cases, the boundary states involve an explicit dependence on the twist fields. The D-brane spectrum is consistent with the model being equivalent to type IIA on a four-torus. |
1610.08069 | Eric Mefford | Zicao Fu, Donald Marolf, Eric Mefford | Time-independent wormholes | 19 pages, 6 figures | JHEP12(2016)021 | 10.1007/JHEP12(2016)021 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study two-sided static wormholes with an exact Killing symmetry that
translates both mouths of the wormhole toward the future. This differs from the
familiar Kruskal wormhole whose time translation is future-directed only in one
asymptotic region and is instead past-directed in the other. Our spacetimes are
solutions to Einstein-Hilbert gravity sourced by scalar domain walls. Explicit
examples are found in the thin wall approximation. More generally, we show that
such spacetimes can arise in the presence of scalar fields with potentials that
are $C^1$ but not $C^2$ and find examples numerically. However, solutions with
an exact such Killing symmetry are forbidden when the scalar potential is
smooth. Finally, we consider the mutual information of boundary regions
associated with such wormholes in AdS/CFT. Although the interior of our
solutions are unstable, we find that even mutual informations between opposite
boundaries are already thermalized at any finite $t$ in the sense that they
agree with the $t\rightarrow \infty$ limit of results from the familiar
AdS-Kruskal solution.
| [
{
"created": "Tue, 25 Oct 2016 20:01:31 GMT",
"version": "v1"
}
] | 2016-12-08 | [
[
"Fu",
"Zicao",
""
],
[
"Marolf",
"Donald",
""
],
[
"Mefford",
"Eric",
""
]
] | We study two-sided static wormholes with an exact Killing symmetry that translates both mouths of the wormhole toward the future. This differs from the familiar Kruskal wormhole whose time translation is future-directed only in one asymptotic region and is instead past-directed in the other. Our spacetimes are solutions to Einstein-Hilbert gravity sourced by scalar domain walls. Explicit examples are found in the thin wall approximation. More generally, we show that such spacetimes can arise in the presence of scalar fields with potentials that are $C^1$ but not $C^2$ and find examples numerically. However, solutions with an exact such Killing symmetry are forbidden when the scalar potential is smooth. Finally, we consider the mutual information of boundary regions associated with such wormholes in AdS/CFT. Although the interior of our solutions are unstable, we find that even mutual informations between opposite boundaries are already thermalized at any finite $t$ in the sense that they agree with the $t\rightarrow \infty$ limit of results from the familiar AdS-Kruskal solution. |
2307.14847 | Srijan Kumar | Justin R. David, Srijan Kumar | Thermal one-point functions: CFT's with fermions, large $d$ and large
spin | 46 pages, 8 figures, some more typos corrected | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We apply the OPE inversion formula on thermal two-point functions of fermions
to obtain thermal one-point function of fermion bi-linears appearing in the
corresponding OPE. We primarily focus on the OPE channel which contains the
stress tensor of the theory. We apply our formalism to the mean field theory of
fermions and verify that the inversion formula reproduces the spectrum as well
as their corresponding thermal one-point functions. We then examine the large
$N$ critical Gross-Neveu model in $d=2k+1$ dimensions with $k$ even and at
finite temperature. We show that stress tensor evaluated from the inversion
formula agrees with that evaluated from the partition function at the critical
point. We demonstrate the expectation values of 3 different classes of higher
spin currents are all related to each other by numerical constants, spin and
the thermal mass. We evaluate the ratio of the thermal expectation values of
higher spin currents at the critical point to the Gaussian fixed point or the
Stefan-Boltzmann result, both for the large $N$ critical $O(N)$ model and the
Gross-Neveu model in odd dimensions. This ratio is always less than one and it
approaches unity on increasing the spin with the dimension $d$ held fixed. The
ratio however approaches zero when the dimension $d$ is increased with the spin
held fixed.
| [
{
"created": "Thu, 27 Jul 2023 13:24:50 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Aug 2023 12:27:42 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Oct 2023 13:46:40 GMT",
"version": "v3"
}
] | 2023-10-24 | [
[
"David",
"Justin R.",
""
],
[
"Kumar",
"Srijan",
""
]
] | We apply the OPE inversion formula on thermal two-point functions of fermions to obtain thermal one-point function of fermion bi-linears appearing in the corresponding OPE. We primarily focus on the OPE channel which contains the stress tensor of the theory. We apply our formalism to the mean field theory of fermions and verify that the inversion formula reproduces the spectrum as well as their corresponding thermal one-point functions. We then examine the large $N$ critical Gross-Neveu model in $d=2k+1$ dimensions with $k$ even and at finite temperature. We show that stress tensor evaluated from the inversion formula agrees with that evaluated from the partition function at the critical point. We demonstrate the expectation values of 3 different classes of higher spin currents are all related to each other by numerical constants, spin and the thermal mass. We evaluate the ratio of the thermal expectation values of higher spin currents at the critical point to the Gaussian fixed point or the Stefan-Boltzmann result, both for the large $N$ critical $O(N)$ model and the Gross-Neveu model in odd dimensions. This ratio is always less than one and it approaches unity on increasing the spin with the dimension $d$ held fixed. The ratio however approaches zero when the dimension $d$ is increased with the spin held fixed. |
1902.02541 | Ryuichi Nakayama | Ryuichi Nakayama, Kenji Shiohara and Tomotaka Suzuki | Holographic Duality for 3D Spin-3 Gravity Coupled to Scalar Field | 44 pages, 1 figure | null | 10.1016/j.nuclphysb.2019.02.005 | EPHOU-19-002 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The 3d spin-3 gravity theory is holographically dual to a 2d ${\cal
W}_3$-extended CFT. In a large-c limit the symmetry algebra of the CFT reduces
to $SU(1,2) \times SU(1,2)$. On the ground of symmetry the dual bulk space-time
will be given by an 8d group manifold $SU(1,2)$. Hence we need to introduce
five extra coordinates in addition to three ordinary ones. The 3d space-time is
a 3d hyper-surface $\Sigma$ embedded at constant values of the extra variables.
Operators in the CFT at the boundary of $\Sigma$ are expressed in terms of
${\cal W}$ descendants of the operators at the boundary of $\Sigma_0$, where
the extra variables vanish. In this paper it is shown that AdS/CFT
correspondence for a scalar field coupled to 3d spin-3 gravity is realized in
this auxiliary 8d space. A bulk-to-boundary propagator of a scalar field is
found and a generating functional of boundary two-point functions of scalar
${\cal W}$-descendant operators is obtained by using the classical action for
the scalar field. Classically, the scalar field must satisfy both Klein-Gordon
equation and a third-order differential equation, which are related to the
quadratic and cubic Casimir operators of $su(1,2)$. It is found that the
coefficient function of the derivatives of the scalar field in the latter
equation is the spin-3 gauge field, when restricted to the hypersurface. An
action integral in the 8d auxiliary space for the 3d spin-3 gravity coupled to
a scalar field is presented. An 8d local frame is introduced and the equations
of motion for the 8d connections $A_{\mu}$, $\overline{A}_{\mu}$ are solved. By
restricting those solutions onto $\Sigma$, flat connections in 3d
$SL(3,\mathbb{R}) \times SL(3,\mathbb{R})$ Chern-Simons theory are obtained and
new 3d black hole solutions with and without spin-3 charge are found by this
method.
| [
{
"created": "Thu, 7 Feb 2019 09:43:57 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Feb 2019 11:20:01 GMT",
"version": "v2"
}
] | 2019-03-27 | [
[
"Nakayama",
"Ryuichi",
""
],
[
"Shiohara",
"Kenji",
""
],
[
"Suzuki",
"Tomotaka",
""
]
] | The 3d spin-3 gravity theory is holographically dual to a 2d ${\cal W}_3$-extended CFT. In a large-c limit the symmetry algebra of the CFT reduces to $SU(1,2) \times SU(1,2)$. On the ground of symmetry the dual bulk space-time will be given by an 8d group manifold $SU(1,2)$. Hence we need to introduce five extra coordinates in addition to three ordinary ones. The 3d space-time is a 3d hyper-surface $\Sigma$ embedded at constant values of the extra variables. Operators in the CFT at the boundary of $\Sigma$ are expressed in terms of ${\cal W}$ descendants of the operators at the boundary of $\Sigma_0$, where the extra variables vanish. In this paper it is shown that AdS/CFT correspondence for a scalar field coupled to 3d spin-3 gravity is realized in this auxiliary 8d space. A bulk-to-boundary propagator of a scalar field is found and a generating functional of boundary two-point functions of scalar ${\cal W}$-descendant operators is obtained by using the classical action for the scalar field. Classically, the scalar field must satisfy both Klein-Gordon equation and a third-order differential equation, which are related to the quadratic and cubic Casimir operators of $su(1,2)$. It is found that the coefficient function of the derivatives of the scalar field in the latter equation is the spin-3 gauge field, when restricted to the hypersurface. An action integral in the 8d auxiliary space for the 3d spin-3 gravity coupled to a scalar field is presented. An 8d local frame is introduced and the equations of motion for the 8d connections $A_{\mu}$, $\overline{A}_{\mu}$ are solved. By restricting those solutions onto $\Sigma$, flat connections in 3d $SL(3,\mathbb{R}) \times SL(3,\mathbb{R})$ Chern-Simons theory are obtained and new 3d black hole solutions with and without spin-3 charge are found by this method. |
hep-th/0507190 | Andrei Parnachev | Gregory Moore, Andrei Parnachev | Profiling the Brane Drain in a Nonsupersymmetric Orbifold | 57 pages, 17 color figures; harvmac | JHEP 0601:024,2006 | 10.1088/1126-6708/2006/01/024 | null | hep-th | null | We study D-branes in a nonsupersymmetric orbifold of type C^2/\Gamma,
perturbed by a tachyon condensate, using a gauged linear sigma model. The RG
flow has both higgs and coulomb branches, and each branch supports different
branes. The coulomb branch branes account for the ``brane drain'' from the
higgs branch, but their precise relation to fractional branes has hitherto been
unknown. Building on the results of hep-th/0403016 we construct, in detail, the
map between fractional branes and the coulomb/higgs branch branes for two
examples in the type 0 theory. This map depends on the phase of the tachyon
condensate in a surprising and intricate way. In the mirror Landau-Ginzburg
picture the dependence on the tachyon phase is manifested by discontinuous
changes in the shape of the D-brane.
| [
{
"created": "Wed, 20 Jul 2005 17:30:00 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Moore",
"Gregory",
""
],
[
"Parnachev",
"Andrei",
""
]
] | We study D-branes in a nonsupersymmetric orbifold of type C^2/\Gamma, perturbed by a tachyon condensate, using a gauged linear sigma model. The RG flow has both higgs and coulomb branches, and each branch supports different branes. The coulomb branch branes account for the ``brane drain'' from the higgs branch, but their precise relation to fractional branes has hitherto been unknown. Building on the results of hep-th/0403016 we construct, in detail, the map between fractional branes and the coulomb/higgs branch branes for two examples in the type 0 theory. This map depends on the phase of the tachyon condensate in a surprising and intricate way. In the mirror Landau-Ginzburg picture the dependence on the tachyon phase is manifested by discontinuous changes in the shape of the D-brane. |
hep-th/9207068 | null | Jan Govaerts | A Quantum Anomaly For Rigid Particles | (replaces previous unpritable version corrupted mailer) 12 pages
(Plain TeX), DTP-92/37 | Phys.Lett. B293 (1992) 327-334 | 10.1016/0370-2693(92)90891-7 | null | hep-th | null | Canonical quantisation of rigid particles is considered paying special
attention to the restriction on phase space due to causal propagation. A mixed
Lorentz-gravitational anomaly is found in the commutator of Lorentz boosts with
world-line reparametrisations. The subspace of gauge invariant physical states
is therefore not invariant under Lorentz transformations. The analysis applies
for an arbitrary extrinsic curvature dependence with the exception of only one
case to be studied separately. Consequences for rigid strings are also
discussed.
| [
{
"created": "Tue, 21 Jul 1992 11:32:54 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jul 1992 16:07:22 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Govaerts",
"Jan",
""
]
] | Canonical quantisation of rigid particles is considered paying special attention to the restriction on phase space due to causal propagation. A mixed Lorentz-gravitational anomaly is found in the commutator of Lorentz boosts with world-line reparametrisations. The subspace of gauge invariant physical states is therefore not invariant under Lorentz transformations. The analysis applies for an arbitrary extrinsic curvature dependence with the exception of only one case to be studied separately. Consequences for rigid strings are also discussed. |
1501.06938 | Daniel Carney | Daniel Carney, Mohammad Edalati | Dyonic Stars for Holography | 10+4 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct back-reacted asymptotically AdS_4 backgrounds with both electric
and magnetic charge, at finite temperature and chemical potential. The system
consists of a condensed bulk Dirac field hovering over a charged black brane.
We give a detailed microscopic treatment of the bulk fermions, from which we
derive the usual fluid approximations describing the condensate. In the context
of holography, such a gravitational solution is dual to a (2+1)-dimensional CFT
with a U(1) current, at finite density and strong coupling, subjected to a
transverse magnetic field.
| [
{
"created": "Tue, 27 Jan 2015 21:42:14 GMT",
"version": "v1"
}
] | 2015-01-29 | [
[
"Carney",
"Daniel",
""
],
[
"Edalati",
"Mohammad",
""
]
] | We construct back-reacted asymptotically AdS_4 backgrounds with both electric and magnetic charge, at finite temperature and chemical potential. The system consists of a condensed bulk Dirac field hovering over a charged black brane. We give a detailed microscopic treatment of the bulk fermions, from which we derive the usual fluid approximations describing the condensate. In the context of holography, such a gravitational solution is dual to a (2+1)-dimensional CFT with a U(1) current, at finite density and strong coupling, subjected to a transverse magnetic field. |
hep-th/0112199 | Tadaoki Uesugi | Tadashi Takayanagi and Tadaoki Uesugi | Flux Stabilization of D-branes in NSNS Melvin Background | Latex, 13 pages, 1 figure, references added and minor
corrections(v2), one comment added, to appear in PLB(v3) | Phys.Lett. B528 (2002) 156-162 | 10.1016/S0370-2693(02)01216-9 | UT-980 | hep-th | null | In this paper we reexamine the D-brane spectrum in the Melvin background with
nonconstant NSNS B-field from the viewpoint of its world-volume and string
world-sheet theory. We find that the stable D2-D0 bound state exists even
though it does not wrap any nontrivial cycles. We show that this system is
stabilized by the presence of the NSNS B-field and the magnetic flux F.
Moreover from the non-abelian world-volume theory of D0-branes the bound state
is regarded as a system of D0-branes expanding into a fuzzy torus.
| [
{
"created": "Thu, 20 Dec 2001 20:08:26 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Dec 2001 06:26:42 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Jan 2002 05:22:00 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Takayanagi",
"Tadashi",
""
],
[
"Uesugi",
"Tadaoki",
""
]
] | In this paper we reexamine the D-brane spectrum in the Melvin background with nonconstant NSNS B-field from the viewpoint of its world-volume and string world-sheet theory. We find that the stable D2-D0 bound state exists even though it does not wrap any nontrivial cycles. We show that this system is stabilized by the presence of the NSNS B-field and the magnetic flux F. Moreover from the non-abelian world-volume theory of D0-branes the bound state is regarded as a system of D0-branes expanding into a fuzzy torus. |
1802.03536 | Vincent Bouchard | Vincent Bouchard, Kento Osuga | Supereigenvalue Models and Topological Recursion | 46 pages. v2: published version (minor changes to the presentation) | JHEP 1804 (2018) 138 | 10.1007/JHEP04(2018)138 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the Eynard-Orantin topological recursion, in conjunction with
simple auxiliary equations, can be used to calculate all correlation functions
of supereigenvalue models.
| [
{
"created": "Sat, 10 Feb 2018 07:36:50 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Aug 2018 01:06:50 GMT",
"version": "v2"
}
] | 2018-08-06 | [
[
"Bouchard",
"Vincent",
""
],
[
"Osuga",
"Kento",
""
]
] | We show that the Eynard-Orantin topological recursion, in conjunction with simple auxiliary equations, can be used to calculate all correlation functions of supereigenvalue models. |
hep-th/0507121 | Tekin Dereli | A.N.Aliev, H.Cebeci, T.Dereli | Gravitational field equations in a braneworld with Euler-Poincare term | null | Class.Quant.Grav. 23 (2006) 591-602 | 10.1088/0264-9381/23/3/002 | null | hep-th | null | We present the effective gravitational field equations in a 3-brane world
with Euler-Poincare term and a cosmological constant in the bulk spacetime. The
similar equations on a 3-brane with $\mathbb{Z}_2$ symmetry embedded in a five
dimensional bulk spacetime were obtained earlier by Maeda and Torii using the
Gauss-Coddazzi projective approach in the framework of the Gaussian normal
coordinates. We recover these equations on the brane in terms of differential
forms and using a more general coordinate setting in the spirit of Arnowitt,
Deser and Misner (ADM). The latter allows for acceleration of the normals to
the brane surface through the lapse function and the shift vector. We show that
the gravitational effects of the bulk space are transmitted to the brane
through the projected ``electric'' 1-form field constructed from the conformal
Weyl curvature 2-form of the bulk space. We also derive the evolution equations
into the bulk space for the electric 1-form field, as well as for the
``magnetic'' 2-form field part of the bulk Weyl curvature 2-form. As expected,
unlike on-brane equations, the evolution equations involve terms determined by
the nonvanishing acceleration of the normals in the ADM-type slicing of
spacetime.
| [
{
"created": "Wed, 13 Jul 2005 14:50:26 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 2005 10:20:45 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Aliev",
"A. N.",
""
],
[
"Cebeci",
"H.",
""
],
[
"Dereli",
"T.",
""
]
] | We present the effective gravitational field equations in a 3-brane world with Euler-Poincare term and a cosmological constant in the bulk spacetime. The similar equations on a 3-brane with $\mathbb{Z}_2$ symmetry embedded in a five dimensional bulk spacetime were obtained earlier by Maeda and Torii using the Gauss-Coddazzi projective approach in the framework of the Gaussian normal coordinates. We recover these equations on the brane in terms of differential forms and using a more general coordinate setting in the spirit of Arnowitt, Deser and Misner (ADM). The latter allows for acceleration of the normals to the brane surface through the lapse function and the shift vector. We show that the gravitational effects of the bulk space are transmitted to the brane through the projected ``electric'' 1-form field constructed from the conformal Weyl curvature 2-form of the bulk space. We also derive the evolution equations into the bulk space for the electric 1-form field, as well as for the ``magnetic'' 2-form field part of the bulk Weyl curvature 2-form. As expected, unlike on-brane equations, the evolution equations involve terms determined by the nonvanishing acceleration of the normals in the ADM-type slicing of spacetime. |
0903.4190 | Ishwaree Neupane | Ishwaree P. Neupane | Extra dimensions, warped compactifications and cosmic acceleration | 10 pages; major addition, references added, matches published version | Phys.Lett.B683:88-95,2010 | 10.1016/j.physletb.2009.12.019 | UOC-TP 013/09, CAS-KITPC/ITP-091 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report on explicit cosmological solutions within the framework of an
inflating de Sitter brane embedded in five- and ten-dimensional bulk
spacetimes. In the specific example we study the brane tension is induced by
the curvature related to the expansion of a physical 3+1 spacetime rather than
by a bulk cosmological term. In a generic situation with nonzero brane tension,
the expansion of the universe accelerates eventually. We also show that
inflationary cosmology is possible for a wide class of metrics without
violating four- and higher-dimensional null energy condition.
| [
{
"created": "Wed, 25 Mar 2009 08:39:21 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 2009 03:42:42 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jun 2009 01:38:11 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Dec 2009 04:05:10 GMT",
"version": "v4"
}
] | 2010-04-05 | [
[
"Neupane",
"Ishwaree P.",
""
]
] | We report on explicit cosmological solutions within the framework of an inflating de Sitter brane embedded in five- and ten-dimensional bulk spacetimes. In the specific example we study the brane tension is induced by the curvature related to the expansion of a physical 3+1 spacetime rather than by a bulk cosmological term. In a generic situation with nonzero brane tension, the expansion of the universe accelerates eventually. We also show that inflationary cosmology is possible for a wide class of metrics without violating four- and higher-dimensional null energy condition. |
1404.7349 | Lucila Zarate | Ido Ben-Dayan, Shenglin Jing, Mahdi Torabian, Alexander Westphal and
Lucila Zarate | $R^2\log R$ quantum corrections and the inflationary observables | LaTeX, 9+1 pages, 5 figures | null | 10.1088/1475-7516/2014/09/005 | DESY-14-064 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a model of inflation with terms quadratic and logarithmic in the
Ricci scalar, where the gravitational action is $f(R)=R+\alpha R^2+\beta R^2
\ln R$. These terms are expected to arise from one loop corrections involving
matter fields in curved space-time. The spectral index $n_s$ and the tensor to
scalar ratio yield $10^{-4}\lesssim r\lesssim0.03$ and $0.94\lesssim n_s
\lesssim 0.99$. i.e. $r$ is an order of magnitude bigger or smaller than the
original Starobinsky model which predicted $r\sim 10^{-3}$. Further enhancement
of $r$ gives a scale invariant $n_s\sim 1$ or higher. Other inflationary
observables are $d n_s/d\ln k \gtrsim -5.2 \times 10^{-4},\, \mu \lesssim 2.1
\times 10^{-8} ,\, y \lesssim 2.6 \times 10^{-9}$. Despite the enhancement in
$r$, if the recent BICEP2 measurement stands, this model is disfavoured.
| [
{
"created": "Tue, 29 Apr 2014 13:13:09 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Ben-Dayan",
"Ido",
""
],
[
"Jing",
"Shenglin",
""
],
[
"Torabian",
"Mahdi",
""
],
[
"Westphal",
"Alexander",
""
],
[
"Zarate",
"Lucila",
""
]
] | We study a model of inflation with terms quadratic and logarithmic in the Ricci scalar, where the gravitational action is $f(R)=R+\alpha R^2+\beta R^2 \ln R$. These terms are expected to arise from one loop corrections involving matter fields in curved space-time. The spectral index $n_s$ and the tensor to scalar ratio yield $10^{-4}\lesssim r\lesssim0.03$ and $0.94\lesssim n_s \lesssim 0.99$. i.e. $r$ is an order of magnitude bigger or smaller than the original Starobinsky model which predicted $r\sim 10^{-3}$. Further enhancement of $r$ gives a scale invariant $n_s\sim 1$ or higher. Other inflationary observables are $d n_s/d\ln k \gtrsim -5.2 \times 10^{-4},\, \mu \lesssim 2.1 \times 10^{-8} ,\, y \lesssim 2.6 \times 10^{-9}$. Despite the enhancement in $r$, if the recent BICEP2 measurement stands, this model is disfavoured. |
1506.07188 | Joanna L. Karczmarek | Joanna L. Karczmarek and Ken Huai-Che Yeh | Noncommutative spaces and matrix embeddings on flat R^{2n+1} | 14 pages, no figures. v2: added references and a clarification | null | 10.1007/JHEP11(2015)146 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We conjecture an embedding operator which assigns, to any 2n+1 hermitian
matrices, a 2n-dimensional hypersurface in flat (2n + 1)-dimensional Euclidean
space. This corresponds to precisely defining a fuzzy D(2n)-brane corresponding
to N D0-branes. Points on the emergent hypersurface correspond to zero
eigenstates of the embedding operator, which have an interpretation as coherent
states underlying the emergent noncommutative geometry. Using this
correspondence, all physical properties of the emergent D(2n)-brane can be
computed. We apply our conjecture to noncommutative flat and spherical spaces.
As a by-product, we obtain a construction of a rotationally symmetric flat
noncommutative space in 4 dimensions.
| [
{
"created": "Tue, 23 Jun 2015 20:07:20 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jun 2015 17:50:08 GMT",
"version": "v2"
}
] | 2016-01-20 | [
[
"Karczmarek",
"Joanna L.",
""
],
[
"Yeh",
"Ken Huai-Che",
""
]
] | We conjecture an embedding operator which assigns, to any 2n+1 hermitian matrices, a 2n-dimensional hypersurface in flat (2n + 1)-dimensional Euclidean space. This corresponds to precisely defining a fuzzy D(2n)-brane corresponding to N D0-branes. Points on the emergent hypersurface correspond to zero eigenstates of the embedding operator, which have an interpretation as coherent states underlying the emergent noncommutative geometry. Using this correspondence, all physical properties of the emergent D(2n)-brane can be computed. We apply our conjecture to noncommutative flat and spherical spaces. As a by-product, we obtain a construction of a rotationally symmetric flat noncommutative space in 4 dimensions. |
2003.12234 | Jean Thierry-Mieg | Jean Thierry-Mieg | Chirality, a new key for the definition of the connection and curvature
of a Lie-Kac super-algebra | 10 pages, 24 references. This is the revised version published in
JHEP. Our new definition of the superconnection is unchanged relative to
version 1 of this preprint, but thanks to the careful help of the referee,
the discussion of the literature is streamlined and much improved | JHEP (2021) 111 | 10.1007/JHEP01(2021)111 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A natural generalization of a Lie algebra connection, or Yang-Mills field, to
the case of a Lie-Kac superalgebra, for example SU(m/n), just in terms of
ordinary complex functions and differentials, is proposed. Using the chirality
$\chi$ which defines the supertrace of the superalgebra: $STr(...) = Tr (\chi
...)$, we construct a covariant differential: $D = \chi (d + A) + \Phi$, where
A is the standard even Lie-subalgebra connection 1-form and $\Phi$ a scalar
field valued in the odd module. Despite the fact that $\Phi$ is a scalar,
$\Phi$ anticommutes with $(\chi A)$ because $\chi$ anticommutes with the odd
generators hidden in $\Phi$. Hence the curvature $F = DD$ is a
superalgebra-valued linear map which respects the Bianchi identity and
correctly defines a chiral parallel transport compatible with a generic Lie
superalgebra structure.
| [
{
"created": "Fri, 27 Mar 2020 04:53:58 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 2021 23:09:25 GMT",
"version": "v2"
}
] | 2021-08-11 | [
[
"Thierry-Mieg",
"Jean",
""
]
] | A natural generalization of a Lie algebra connection, or Yang-Mills field, to the case of a Lie-Kac superalgebra, for example SU(m/n), just in terms of ordinary complex functions and differentials, is proposed. Using the chirality $\chi$ which defines the supertrace of the superalgebra: $STr(...) = Tr (\chi ...)$, we construct a covariant differential: $D = \chi (d + A) + \Phi$, where A is the standard even Lie-subalgebra connection 1-form and $\Phi$ a scalar field valued in the odd module. Despite the fact that $\Phi$ is a scalar, $\Phi$ anticommutes with $(\chi A)$ because $\chi$ anticommutes with the odd generators hidden in $\Phi$. Hence the curvature $F = DD$ is a superalgebra-valued linear map which respects the Bianchi identity and correctly defines a chiral parallel transport compatible with a generic Lie superalgebra structure. |
hep-th/9608065 | null | Fiorenzo Bastianelli, Luca Consoli | A Locally Supersymmetric Action for the Scalar Particle | 8 pages, REVTEX | Mod.Phys.Lett. A12 (1997) 1291-1299 | 10.1142/S0217732397001308 | null | hep-th | null | We construct a locally supersymmetric action for the scalar particle, and
study its relation with the usual reparametrization invariant action. The
mechanisms at work are similar to those employed in the embedding of the
bosonic string into the fermionic one, originally due to Berkovits and Vafa in
their search for a universal string. The simpler algebraic structure present in
the particle case provides us with a guide on how to prove in a simple way,
without the need of fixing the superconformal gauge, that the supersymmetric
formulation of the bosonic string is equivalent to the usual one, where
reparametrization invariance is the only world-sheet gauge symmetry.
| [
{
"created": "Mon, 12 Aug 1996 08:58:32 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Consoli",
"Luca",
""
]
] | We construct a locally supersymmetric action for the scalar particle, and study its relation with the usual reparametrization invariant action. The mechanisms at work are similar to those employed in the embedding of the bosonic string into the fermionic one, originally due to Berkovits and Vafa in their search for a universal string. The simpler algebraic structure present in the particle case provides us with a guide on how to prove in a simple way, without the need of fixing the superconformal gauge, that the supersymmetric formulation of the bosonic string is equivalent to the usual one, where reparametrization invariance is the only world-sheet gauge symmetry. |
hep-th/0208051 | Jan Gutowski | J. Gutowski, G. Papadopoulos | Brane Solitons for G_2 Structures in Eleven-Dimensional Supergravity
Re-Visited | 11 Pages, Latex, references added | Class.Quant.Grav.20:247-256,2003 | 10.1088/0264-9381/20/1/318 | QMUL-PH-02-14 | hep-th | null | We investigate the four-dimensional supergravity theory obtained from the
compactification of eleven-dimensional supergravity on a smooth manifold of G_2
holonomy. We give a new derivation for the Kaehler potential associated with
the scalar kinetic term of the N=1 four-dimensional theory. We then examine
some solutions of the four-dimensional theory which arise from wrapped
M-branes.
| [
{
"created": "Wed, 7 Aug 2002 11:38:08 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 2002 09:53:39 GMT",
"version": "v2"
}
] | 2009-10-09 | [
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We investigate the four-dimensional supergravity theory obtained from the compactification of eleven-dimensional supergravity on a smooth manifold of G_2 holonomy. We give a new derivation for the Kaehler potential associated with the scalar kinetic term of the N=1 four-dimensional theory. We then examine some solutions of the four-dimensional theory which arise from wrapped M-branes. |
1212.3452 | Kirill Krasnov | Alexander Torres-Gomez and Kirill Krasnov | Fermions via spinor-valued one-forms | 23 pages, no figures | null | 10.1142/S0217751X13501133 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spinor-valued one-forms (Rarita-Schwinger fields) are normally used in the
context of supergravity, where they describe spin 3/2 particles (gravitinos).
Indeed, when decomposed into irreducible representations of the Lorentz group
such a field contains both a spin 1/2 and a spin 3/2 component, and the
Rarita-Schwinger Lagrangian is designed to make only the spin 3/2 propagate. We
point out that the opposite construction is also possible, and give a
spinor-valued one-form field Lagrangian that describes a propagating spin 1/2
particle.
| [
{
"created": "Fri, 14 Dec 2012 12:28:47 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Torres-Gomez",
"Alexander",
""
],
[
"Krasnov",
"Kirill",
""
]
] | Spinor-valued one-forms (Rarita-Schwinger fields) are normally used in the context of supergravity, where they describe spin 3/2 particles (gravitinos). Indeed, when decomposed into irreducible representations of the Lorentz group such a field contains both a spin 1/2 and a spin 3/2 component, and the Rarita-Schwinger Lagrangian is designed to make only the spin 3/2 propagate. We point out that the opposite construction is also possible, and give a spinor-valued one-form field Lagrangian that describes a propagating spin 1/2 particle. |
hep-th/0105224 | David Nolland | Paul Mansfield, David Nolland | Test of gauged N=8 SUGRA / N=1 SYM duality at sub-leading order | LaTeX, 7 pages, ref. added | Phys.Lett. B515 (2001) 192-196 | 10.1016/S0370-2693(01)00826-7 | null | hep-th | null | An infra-red fixed point of ${\mathcal N}=1$ super-Yang-Mills theory is
believed to be dual to a solution of five-dimensional gauged ${\mathcal N}=8$
supergravity. We test this conjecture at next to leading order in the large $N$
expansion by computing bulk one-loop corrections to the anomaly coefficient
$a-c$. The one-loop corrections are non-zero for all values of the bulk mass,
and not just special ones as claimed in previous work.
| [
{
"created": "Tue, 22 May 2001 16:41:14 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jul 2001 12:00:51 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Mansfield",
"Paul",
""
],
[
"Nolland",
"David",
""
]
] | An infra-red fixed point of ${\mathcal N}=1$ super-Yang-Mills theory is believed to be dual to a solution of five-dimensional gauged ${\mathcal N}=8$ supergravity. We test this conjecture at next to leading order in the large $N$ expansion by computing bulk one-loop corrections to the anomaly coefficient $a-c$. The one-loop corrections are non-zero for all values of the bulk mass, and not just special ones as claimed in previous work. |
hep-th/9812018 | T. Padmanabhan | T. Padmanabhan | Conceptual issues in combining general relativity and quantum theory | 6 pages, no figures. Invited article to be published in the
Festschrift volume to be brought out in honour of Professor J.V. Narlikar;
Editors: Naresh Dadhich and Ajit Kembhavi [Kluwer 99] | null | null | Preprint no. IUCAA-41/98 | hep-th astro-ph gr-qc | null | Points of conflict between the principles of general relativity and quantum
theory are highlighted. I argue that the current language of QFT is inadequete
to deal with gravity and review attempts to identify some of the features which
are likely to present in the correct theory of quantum gravity.
| [
{
"created": "Wed, 2 Dec 1998 07:39:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Padmanabhan",
"T.",
""
]
] | Points of conflict between the principles of general relativity and quantum theory are highlighted. I argue that the current language of QFT is inadequete to deal with gravity and review attempts to identify some of the features which are likely to present in the correct theory of quantum gravity. |
2310.05522 | Nicolas Boulanger | Nicolas Boulanger, Guillaume Lhost and Sylvain Thom\'ee | Consistent couplings between a massive spin-3/2 field and a partially
massless spin-2 field | 9+1 pages, no figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We revisit the problem of constructing consistent interactions between a
massive spin-3/2 field and a partially massless graviton in four-dimensional
(A)dS spacetime. We use the Stueckelberg formulation of the action principle
for these fields and find two non-trivial cubic vertices with less than two
derivatives, when going to the unitary gauge. One of the vertices is
reminiscent of the minimal coupling of the massive spin-3/2 field to gravity,
except that now the graviton is partially massless.
| [
{
"created": "Mon, 9 Oct 2023 08:37:33 GMT",
"version": "v1"
}
] | 2023-10-10 | [
[
"Boulanger",
"Nicolas",
""
],
[
"Lhost",
"Guillaume",
""
],
[
"Thomée",
"Sylvain",
""
]
] | We revisit the problem of constructing consistent interactions between a massive spin-3/2 field and a partially massless graviton in four-dimensional (A)dS spacetime. We use the Stueckelberg formulation of the action principle for these fields and find two non-trivial cubic vertices with less than two derivatives, when going to the unitary gauge. One of the vertices is reminiscent of the minimal coupling of the massive spin-3/2 field to gravity, except that now the graviton is partially massless. |
1312.5700 | Mauricio Valenzuela | Nicolas Boulanger, Per Sundell and Mauricio Valenzuela | Three-dimensional fractional-spin gravity | 38 pages, 2 tables. References [7,13,61] added with comments in the
second version. To appear in JHEP | null | 10.1007/JHEP02(2014)052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern--Simons
models consisting of fractional-spin fields coupled to higher-spin gravity and
internal non-abelian gauge fields. The gauge algebras consist of
Lorentz-tensorial Blencowe-Vasiliev higher-spin algebras and compact internal
algebras intertwined by infinite-dimensional generators in lowest-weight
representations of the Lorentz algebra with fractional spin. In integer or
half-integer non-unitary cases, there exist truncations to gl(N,N +/- 1) or
gl(N|N +/- 1) models. In all non-unitary cases, the internal gauge fields can
be set to zero. At the semi-classical level, the fractional-spin fields are
either Grassmann even or odd. The action requires the enveloping-algebra
representation of the deformed oscillators, while their Fock-space
representation suffices on-shell.
| [
{
"created": "Thu, 19 Dec 2013 19:02:47 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2014 16:16:24 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Boulanger",
"Nicolas",
""
],
[
"Sundell",
"Per",
""
],
[
"Valenzuela",
"Mauricio",
""
]
] | Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern--Simons models consisting of fractional-spin fields coupled to higher-spin gravity and internal non-abelian gauge fields. The gauge algebras consist of Lorentz-tensorial Blencowe-Vasiliev higher-spin algebras and compact internal algebras intertwined by infinite-dimensional generators in lowest-weight representations of the Lorentz algebra with fractional spin. In integer or half-integer non-unitary cases, there exist truncations to gl(N,N +/- 1) or gl(N|N +/- 1) models. In all non-unitary cases, the internal gauge fields can be set to zero. At the semi-classical level, the fractional-spin fields are either Grassmann even or odd. The action requires the enveloping-algebra representation of the deformed oscillators, while their Fock-space representation suffices on-shell. |
hep-th/0110186 | Mourad | E. Dudas and J. Mourad | D-branes in String theory Melvin backgrounds | 24 pages | Nucl.Phys. B622 (2002) 46-72 | 10.1016/S0550-3213(01)00588-0 | LPT-Orsay 01-96 | hep-th | null | We determine the consistent D-brane configurations in type II
nonsupersymmetric Melvin Background. The D-branes are analysed from three
complementary points of view: the effective Born-Infeld action, the open string
partition function and the boundary state approach. We show the agreement of
the results obtained by the three different approaches. Among the surprising
features is the existence of supersymmetric branes, some of them having a
quasi-periodic direction. We also discuss the generalisation to backgrounds
with several magnetic fields, some of them preserving in the closed and the
open spectra some amount of supersymmetry. The case of rational magnetic flux,
equivalent to freely-acting noncompact orbifolds, is also studied. It allows
more possibilities of consistent D-brane configurations.
| [
{
"created": "Fri, 19 Oct 2001 16:58:20 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Dudas",
"E.",
""
],
[
"Mourad",
"J.",
""
]
] | We determine the consistent D-brane configurations in type II nonsupersymmetric Melvin Background. The D-branes are analysed from three complementary points of view: the effective Born-Infeld action, the open string partition function and the boundary state approach. We show the agreement of the results obtained by the three different approaches. Among the surprising features is the existence of supersymmetric branes, some of them having a quasi-periodic direction. We also discuss the generalisation to backgrounds with several magnetic fields, some of them preserving in the closed and the open spectra some amount of supersymmetry. The case of rational magnetic flux, equivalent to freely-acting noncompact orbifolds, is also studied. It allows more possibilities of consistent D-brane configurations. |
hep-th/0609015 | Sebastian Guttenberg | Sebastian Guttenberg | Brackets, Sigma Models and Integrability of Generalized Complex
Structures | 48 pages (27 without appendix), created with LyX, based on LaTeX,
including hyperrefs. Typos in (2.162)-(2.167) and in (3.15) fixed. Content
agrees with JHEP-Version. Page numbers and equation numbers agree with old
version but not with JHEP version! | JHEP 0706:004,2007 | 10.1088/1126-6708/2007/06/004 | SPhT-T06/095, TUW-06-06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown how derived brackets naturally arise in sigma-models via Poisson-
or antibracket, generalizing a recent observation by Alekseev and Strobl. On
the way to a precise formulation of this relation, an explicit coordinate
expression for the derived bracket is obtained. The generalized Nijenhuis
tensor of generalized complex geometry is shown to coincide up to a de-Rham
closed term with the derived bracket of the structure with itself, and a new
coordinate expression for this tensor is presented. The insight is applied to
two known two-dimensional sigma models in a background with generalized complex
structure. Introductions to geometric brackets on the one hand and to
generalized complex geometry on the other hand are given in the appendix.
| [
{
"created": "Mon, 4 Sep 2006 19:27:55 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Sep 2006 17:19:32 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Jun 2007 11:03:47 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Nov 2008 18:16:01 GMT",
"version": "v4"
}
] | 2010-10-27 | [
[
"Guttenberg",
"Sebastian",
""
]
] | It is shown how derived brackets naturally arise in sigma-models via Poisson- or antibracket, generalizing a recent observation by Alekseev and Strobl. On the way to a precise formulation of this relation, an explicit coordinate expression for the derived bracket is obtained. The generalized Nijenhuis tensor of generalized complex geometry is shown to coincide up to a de-Rham closed term with the derived bracket of the structure with itself, and a new coordinate expression for this tensor is presented. The insight is applied to two known two-dimensional sigma models in a background with generalized complex structure. Introductions to geometric brackets on the one hand and to generalized complex geometry on the other hand are given in the appendix. |
hep-th/0103045 | Kofinas Georgios | Georgios Kofinas | New Perspectives on Moving Domain Walls in (A)dS_(5) Space | 22 pages, LaTeX, 3 figures, few clarifications and references added | Nucl.Phys. B622 (2002) 347-364 | 10.1016/S0550-3213(01)00589-2 | UA/NPPS-03-2001 | hep-th gr-qc | null | A new moving domain wall solution is obtained for a flat 3-universe. This
consists of a bulk metric depending on both time and the extra coordinate, plus
a dynamically interacting domain wall, admitted by the metric and inhabited by
the three-universe. The matter contents are cosmological constants on the
domain wall and the bulk. The bulk space is shown to be (A)dS_(5). A remarkable
fact concerning the three-universe is that its scale factor never vanishes,
even though the corresponding scale factor of the bulk metric vanishes. The
inclusion of a bulk scalar field is discussed, neglecting back-reaction. Its
normalizability and the existence of a positive frequency or adiabatic bulk
vacuum are shown.
| [
{
"created": "Wed, 7 Mar 2001 17:10:35 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Oct 2001 21:46:09 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kofinas",
"Georgios",
""
]
] | A new moving domain wall solution is obtained for a flat 3-universe. This consists of a bulk metric depending on both time and the extra coordinate, plus a dynamically interacting domain wall, admitted by the metric and inhabited by the three-universe. The matter contents are cosmological constants on the domain wall and the bulk. The bulk space is shown to be (A)dS_(5). A remarkable fact concerning the three-universe is that its scale factor never vanishes, even though the corresponding scale factor of the bulk metric vanishes. The inclusion of a bulk scalar field is discussed, neglecting back-reaction. Its normalizability and the existence of a positive frequency or adiabatic bulk vacuum are shown. |
1605.08075 | Howard Schnitzer | Howard J. Schnitzer | Topological R\'enyi and Entanglement Entropy for a 2d q-deformed $U(N)$
Yang-Mills theory and its Chern-Simons dual | 10 pages | null | null | BRX-TH-6303 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | R\'enyi and entanglement entropies are constructed for 2d q-deformed
topological Yang-Mills theories with gauge group $U(N)$, as well as the dual 3d
Chern-Simons (CS) theory on Seifert manifolds. When $q=\exp[2\pi i/(N+K)]$, and
$K$ is odd, the topological R\'enyi entropy and Wilson line observables of the
CS theory can be expressed in terms of the modular transformation matrices of
the WZW theory, $\rm{\hat{U}(N)}_{K,N(K+N)}$. If both $K$ and $N$ are odd,
there is a level-rank duality of the 2d qYM theory and of the associated CS
theory, as well as that of the R\'enyi and entanglement entropies, and Wilson
line observables.
| [
{
"created": "Wed, 25 May 2016 21:08:50 GMT",
"version": "v1"
}
] | 2016-05-27 | [
[
"Schnitzer",
"Howard J.",
""
]
] | R\'enyi and entanglement entropies are constructed for 2d q-deformed topological Yang-Mills theories with gauge group $U(N)$, as well as the dual 3d Chern-Simons (CS) theory on Seifert manifolds. When $q=\exp[2\pi i/(N+K)]$, and $K$ is odd, the topological R\'enyi entropy and Wilson line observables of the CS theory can be expressed in terms of the modular transformation matrices of the WZW theory, $\rm{\hat{U}(N)}_{K,N(K+N)}$. If both $K$ and $N$ are odd, there is a level-rank duality of the 2d qYM theory and of the associated CS theory, as well as that of the R\'enyi and entanglement entropies, and Wilson line observables. |
hep-th/0107252 | J. B. Gutowski | J. Gutowski, G. Papadopoulos | Three Body Interactions, Angular Momentum and Black Hole Moduli Spaces | 20 pages, phyzzx | Class.Quant.Grav.19:493-504,2002 | 10.1088/0264-9381/19/3/305 | QMUL-PH-01-02 | hep-th | null | We investigate the dynamics of a pair of (4+1)-dimensional black holes in the
moduli approximation and with fixed angular momentum. We find that spinning
black holes at small separations are described by the de Alfaro, Fubini and
Furlan model. For more than two black holes, we find an explicit expression for
the three-body interactions in the moduli metric by associating them with the
one-loop three-point amplitude of a four-dimensional $\phi^3$ theory. We also
investigate the dynamics of a three black hole system in various
approximations.
| [
{
"created": "Sun, 29 Jul 2001 12:01:05 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We investigate the dynamics of a pair of (4+1)-dimensional black holes in the moduli approximation and with fixed angular momentum. We find that spinning black holes at small separations are described by the de Alfaro, Fubini and Furlan model. For more than two black holes, we find an explicit expression for the three-body interactions in the moduli metric by associating them with the one-loop three-point amplitude of a four-dimensional $\phi^3$ theory. We also investigate the dynamics of a three black hole system in various approximations. |
1502.02318 | Miguel Campiglia | Miguel Campiglia, Alok Laddha | New symmetries for the Gravitational S-matrix | 19 pages | null | 10.1007/JHEP04(2015)076 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In [15] we proposed a generalization of the BMS group G which is a semidirect
product of supertranslations and smooth diffeomorphisms of the conformal
sphere. Although an extension of BMS, G is a symmetry group of asymptotically
flat space times. By taking G as a candidate symmetry group of the quantum
gravity S-matrix, we argued that the Ward identities associated to the
generators of Diff(S^2) were equivalent to the Cachazo-Strominger subleading
soft graviton theorem. Our argument however was based on a proposed definition
of the Diff(S^2) charges which we could not derive from first principles as G
does not have a well defined action on the radiative phase space of gravity.
Here we fill this gap and provide a first principles derivation of the
Diff(S^2) charges. The result of this paper, in conjunction with the results of
[4, 15] prove that the leading and subleading soft theorems are equivalent to
the Ward identities associated to G.
| [
{
"created": "Mon, 9 Feb 2015 00:51:48 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Mar 2015 19:07:22 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Campiglia",
"Miguel",
""
],
[
"Laddha",
"Alok",
""
]
] | In [15] we proposed a generalization of the BMS group G which is a semidirect product of supertranslations and smooth diffeomorphisms of the conformal sphere. Although an extension of BMS, G is a symmetry group of asymptotically flat space times. By taking G as a candidate symmetry group of the quantum gravity S-matrix, we argued that the Ward identities associated to the generators of Diff(S^2) were equivalent to the Cachazo-Strominger subleading soft graviton theorem. Our argument however was based on a proposed definition of the Diff(S^2) charges which we could not derive from first principles as G does not have a well defined action on the radiative phase space of gravity. Here we fill this gap and provide a first principles derivation of the Diff(S^2) charges. The result of this paper, in conjunction with the results of [4, 15] prove that the leading and subleading soft theorems are equivalent to the Ward identities associated to G. |
hep-th/0409169 | Deger Nihat Sadik | N.S. Deger, O. Sarioglu | Supersymmetric Strings and Waves in D=3, N=2 Matter Coupled Gauged
Supergravities | 19 pages, 1 figure, v2:a reference added, minor improvements | JHEP 0412:039,2004 | 10.1088/1126-6708/2004/12/039 | null | hep-th gr-qc | null | We construct new 1/2 supersymmetric solutions in D=3, N=2, matter coupled,
U(1) gauged supergravities and study some of their properties. In the most
general case they represent a string superposed with gravitational and
Chern-Simons electromagnetic waves. The waves are attached to the string and
the solution satisfies an electromagnetic self-duality relation. When the sigma
model is non-compact it interpolates between an asymptotically Kaigorodov space
and a naked singularity. For the compact sigma model there is a regular horizon
with the Kaigorodov geometry and asymptotically it is either Minkowskian or a
pp-wave. When the sigma manifold is flat our solutions describe either AdS_3 or
Kaigorodov space or a pp-wave in AdS_3.
| [
{
"created": "Thu, 16 Sep 2004 12:14:14 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Sep 2004 13:27:12 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Deger",
"N. S.",
""
],
[
"Sarioglu",
"O.",
""
]
] | We construct new 1/2 supersymmetric solutions in D=3, N=2, matter coupled, U(1) gauged supergravities and study some of their properties. In the most general case they represent a string superposed with gravitational and Chern-Simons electromagnetic waves. The waves are attached to the string and the solution satisfies an electromagnetic self-duality relation. When the sigma model is non-compact it interpolates between an asymptotically Kaigorodov space and a naked singularity. For the compact sigma model there is a regular horizon with the Kaigorodov geometry and asymptotically it is either Minkowskian or a pp-wave. When the sigma manifold is flat our solutions describe either AdS_3 or Kaigorodov space or a pp-wave in AdS_3. |
hep-th/9806047 | Sviatoslav Solganik | A. N. Sissakian, O. Yu. Shevchenko and S. B. Solganik | Topological Effects in Medium | to be published in Phys. of Elem. Part. and Atom. Nucl., 40 pages | null | null | null | hep-th | null | Two closely related topological phenomena are studied at finite density and
temperature. These are chiral anomaly and Chern--Simons term. It occurs that
the chiral anomaly doesn't depend on density and temperature. Chern-Simons term
appearance in even dimensions is studied under two types of constraints: chiral
and usual charges conservation. In odd dimensions, by using different methods
it is shown that $\mu^2 = m^2$ is the crucial point for Chern--Simons at zero
temperature. So when $\mu^2 < m^2$ $\mu$--influence disappears and we get the
usual Chern-Simons term. On the other hand, when $\mu^2 > m^2$ the Chern-Simons
term vanishes because of non--zero density of background fermions. The
connection between parity anomalous Chern-Simons in odd dimension and chiral
anomaly in even dimension is established at arbitrary density and temperature.
These results hold in any dimension as in abelian, so as in nonabelian cases.
| [
{
"created": "Fri, 5 Jun 1998 17:43:20 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jun 1998 10:07:54 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Sissakian",
"A. N.",
""
],
[
"Shevchenko",
"O. Yu.",
""
],
[
"Solganik",
"S. B.",
""
]
] | Two closely related topological phenomena are studied at finite density and temperature. These are chiral anomaly and Chern--Simons term. It occurs that the chiral anomaly doesn't depend on density and temperature. Chern-Simons term appearance in even dimensions is studied under two types of constraints: chiral and usual charges conservation. In odd dimensions, by using different methods it is shown that $\mu^2 = m^2$ is the crucial point for Chern--Simons at zero temperature. So when $\mu^2 < m^2$ $\mu$--influence disappears and we get the usual Chern-Simons term. On the other hand, when $\mu^2 > m^2$ the Chern-Simons term vanishes because of non--zero density of background fermions. The connection between parity anomalous Chern-Simons in odd dimension and chiral anomaly in even dimension is established at arbitrary density and temperature. These results hold in any dimension as in abelian, so as in nonabelian cases. |
hep-th/9301035 | null | Ramzi R. Khuri | A Comment on the Stability of String Monopoles | 5 pages | Phys.Lett. B307 (1993) 302-304 | 10.1016/0370-2693(93)90224-6 | null | hep-th | null | In recent work a multimonopole solution of heterotic string theory was
obtained. The monopoles are noted to be stable, in contrast with analogous
solutions of Einstein-Maxwell or Yang-Mills-dilaton theory. The existence of
this and other classes of stable solitonic solutions in string theory thus
provides a possible test for low-energy string theory as distinct from other
gauge + gravity theories.
| [
{
"created": "Mon, 11 Jan 1993 20:28:49 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Khuri",
"Ramzi R.",
""
]
] | In recent work a multimonopole solution of heterotic string theory was obtained. The monopoles are noted to be stable, in contrast with analogous solutions of Einstein-Maxwell or Yang-Mills-dilaton theory. The existence of this and other classes of stable solitonic solutions in string theory thus provides a possible test for low-energy string theory as distinct from other gauge + gravity theories. |
1610.06782 | Ricardo Schiappa | Ricardo Couso-Santamar\'ia, Marcos Marino, Ricardo Schiappa | Resurgence Matches Quantization | 35 pages, 15 figures; v2: 36 pages, minor changes, final version in
JPAMT | null | 10.1088/1751-8121/aa5e01 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quest to find a nonperturbative formulation of topological string theory
has recently seen two unrelated developments. On the one hand, via quantization
of the mirror curve associated to a toric Calabi-Yau background, it has been
possible to give a nonperturbative definition of the topological-string
partition function. On the other hand, using techniques of resurgence and
transseries, it has been possible to extend the string (asymptotic)
perturbative expansion into a transseries involving nonperturbative instanton
sectors. Within the specific example of the local P2 toric Calabi-Yau
threefold, the present work shows how the Borel-Pade-Ecalle resummation of this
resurgent transseries, alongside occurrence of Stokes phenomenon, matches the
string-theoretic partition function obtained via quantization of the mirror
curve. This match is highly non-trivial, given the unrelated nature of both
nonperturbative frameworks, signaling at the existence of a consistent
underlying structure.
| [
{
"created": "Fri, 21 Oct 2016 13:37:52 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jan 2019 20:47:41 GMT",
"version": "v2"
}
] | 2019-02-01 | [
[
"Couso-Santamaría",
"Ricardo",
""
],
[
"Marino",
"Marcos",
""
],
[
"Schiappa",
"Ricardo",
""
]
] | The quest to find a nonperturbative formulation of topological string theory has recently seen two unrelated developments. On the one hand, via quantization of the mirror curve associated to a toric Calabi-Yau background, it has been possible to give a nonperturbative definition of the topological-string partition function. On the other hand, using techniques of resurgence and transseries, it has been possible to extend the string (asymptotic) perturbative expansion into a transseries involving nonperturbative instanton sectors. Within the specific example of the local P2 toric Calabi-Yau threefold, the present work shows how the Borel-Pade-Ecalle resummation of this resurgent transseries, alongside occurrence of Stokes phenomenon, matches the string-theoretic partition function obtained via quantization of the mirror curve. This match is highly non-trivial, given the unrelated nature of both nonperturbative frameworks, signaling at the existence of a consistent underlying structure. |
2401.02792 | Jiakang Bao | Jiakang Bao, Rak-Kyeong Seong, Masahito Yamazaki | The Origin of Calabi-Yau Crystals in BPS States Counting | 53 pages; v3 minor corrections, references added | J. High Energ. Phys. 2024, 140 (2024) | 10.1007/JHEP03(2024)140 | null | hep-th math-ph math.AG math.CO math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the counting problem of BPS D-branes wrapping holomorphic cycles of
a general toric Calabi-Yau manifold. We evaluate the Jeffrey-Kirwan residues
for the flavoured Witten index for the supersymmetric quiver quantum mechanics
on the worldvolume of the D-branes, and find that BPS degeneracies are
described by a statistical mechanical model of crystal melting. For Calabi-Yau
threefolds, we reproduce the crystal melting models long known in the
literature. For Calabi-Yau fourfolds, however, we find that the crystal does
not contain the full information for the BPS degeneracy and we need to
explicitly evaluate non-trivial weights assigned to the crystal configurations.
Our discussions treat Calabi-Yau threefolds and fourfolds on equal footing, and
include discussions on elliptic and rational generalizations of the BPS states
counting, connections to the mathematical definition of generalized
Donaldson-Thomas invariants, examples of wall crossings, and of trialities in
quiver gauge theories.
| [
{
"created": "Fri, 5 Jan 2024 13:08:36 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Jan 2024 20:41:06 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Mar 2024 12:08:29 GMT",
"version": "v3"
}
] | 2024-04-16 | [
[
"Bao",
"Jiakang",
""
],
[
"Seong",
"Rak-Kyeong",
""
],
[
"Yamazaki",
"Masahito",
""
]
] | We study the counting problem of BPS D-branes wrapping holomorphic cycles of a general toric Calabi-Yau manifold. We evaluate the Jeffrey-Kirwan residues for the flavoured Witten index for the supersymmetric quiver quantum mechanics on the worldvolume of the D-branes, and find that BPS degeneracies are described by a statistical mechanical model of crystal melting. For Calabi-Yau threefolds, we reproduce the crystal melting models long known in the literature. For Calabi-Yau fourfolds, however, we find that the crystal does not contain the full information for the BPS degeneracy and we need to explicitly evaluate non-trivial weights assigned to the crystal configurations. Our discussions treat Calabi-Yau threefolds and fourfolds on equal footing, and include discussions on elliptic and rational generalizations of the BPS states counting, connections to the mathematical definition of generalized Donaldson-Thomas invariants, examples of wall crossings, and of trialities in quiver gauge theories. |
1106.2144 | Shih-Hao Ho | S.-H. Ho | Constrained Jackiw-Rebbi model gives McGreevy-Swingle model | 3 pages | Phys. Rev. D 84, 127701 (2011) | 10.1103/PhysRevD.84.127701 | MIT-CTP/4272 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the recently considered McGreevy-Swingle model for Majorana
fermions in the presence of a 't Hooft-Polyakov magnetic monopole arises when
the Jackiw-Rebbi model is constrained to be conjugation self dual.
| [
{
"created": "Fri, 10 Jun 2011 18:38:42 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 2011 15:52:06 GMT",
"version": "v2"
}
] | 2011-12-15 | [
[
"Ho",
"S. -H.",
""
]
] | We show that the recently considered McGreevy-Swingle model for Majorana fermions in the presence of a 't Hooft-Polyakov magnetic monopole arises when the Jackiw-Rebbi model is constrained to be conjugation self dual. |
1307.8299 | Joseph Ben Geloun | Joseph Ben Geloun | On the finite amplitudes for open graphs in Abelian dynamical colored
Boulatov-Ooguri models | 10 pages, 4 Figures | null | 10.1088/1751-8113/46/40/402002 | ICMPA/MPA/2013/009 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the work [Int. J. Theor. Phys. 50, 2819 (2011)], it has been proved that
the radiative corrections of the 2-point function in the SU(2) Boulatov tensor
model generates a relevant (in the Renormalization Group sense) contribution of
the form of a Laplacian. Such a term which was missing in the initial Boulatov
model action should be added in that action before discussing the
renormalization analysis of this model. In this work, by linearizing the group
manifold, we prove that the amplitudes associated with Feynman graphs with
external legs of the colored Boulatov model over U(1)^3 endowed with a
Laplacian dynamics are all convergent. We conjecture that the same feature
happens for the corresponding Boulatov model over SU(2). Higher rank models are
also discussed.
| [
{
"created": "Wed, 31 Jul 2013 12:23:35 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Geloun",
"Joseph Ben",
""
]
] | In the work [Int. J. Theor. Phys. 50, 2819 (2011)], it has been proved that the radiative corrections of the 2-point function in the SU(2) Boulatov tensor model generates a relevant (in the Renormalization Group sense) contribution of the form of a Laplacian. Such a term which was missing in the initial Boulatov model action should be added in that action before discussing the renormalization analysis of this model. In this work, by linearizing the group manifold, we prove that the amplitudes associated with Feynman graphs with external legs of the colored Boulatov model over U(1)^3 endowed with a Laplacian dynamics are all convergent. We conjecture that the same feature happens for the corresponding Boulatov model over SU(2). Higher rank models are also discussed. |
1206.5897 | Shigenori Seki Dr. | Shigenori Seki, Sang-Jin Sin | Chiral Condensate in Holographic QCD with Baryon Density | 23 pages, 8 figures | JHEP 1208:009,2012 | 10.1007/JHEP08(2012)009 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the chiral condensate in the baryonic dense medium using the
generalized Sakai-Sugimoto model. It is defined as the vacuum expectation value
of open Wilson line that is proposed to be calculated by use of the area of
world-sheet instanton. We evaluate it in confined as well as deconfined phase.
In both phases, the chiral condensate has a minimum as a function of baryon
density. In the deconfined phase, taking into account the chiral symmetry
restoration, we classify the behavior of chiral condensate into three types.
One can set the parameter of the theory such that the results, in low but
sufficiently higher density, is in agreement with the expectation from QCD.
| [
{
"created": "Tue, 26 Jun 2012 07:26:53 GMT",
"version": "v1"
}
] | 2013-04-30 | [
[
"Seki",
"Shigenori",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | We consider the chiral condensate in the baryonic dense medium using the generalized Sakai-Sugimoto model. It is defined as the vacuum expectation value of open Wilson line that is proposed to be calculated by use of the area of world-sheet instanton. We evaluate it in confined as well as deconfined phase. In both phases, the chiral condensate has a minimum as a function of baryon density. In the deconfined phase, taking into account the chiral symmetry restoration, we classify the behavior of chiral condensate into three types. One can set the parameter of the theory such that the results, in low but sufficiently higher density, is in agreement with the expectation from QCD. |
1309.4721 | Ryan Thorngren | Anton Kapustin, Ryan Thorngren | Higher symmetry and gapped phases of gauge theories | 33 pages, 2 figures. significantly reworked version, with corrected
1-form gauge transformations in the lattice theory, and a lattice description
of ground states and global symmetry actions of higher SPT phases in the
"group cohomology basis" similar to Chen-Gu-Liu-Wen | null | null | null | hep-th cond-mat.str-el math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study topological field theory describing gapped phases of gauge theories
where the gauge symmetry is partially Higgsed and partially confined. The TQFT
can be formulated both in the continuum and on the lattice and generalizes
Dijkgraaf-Witten theory by replacing a finite group by a finite 2-group. The
basic field in this TQFT is a 2-connection on a principal 2-bundle. We classify
topological actions for such theories as well as loop and surface observables.
When the topological action is trivial, the TQFT is related to a
Dijkgraaf-Witten theory by electric-magnetic duality, but in general it is
distinct. We propose the existence of new phases of matter protected by higher
symmetry.
| [
{
"created": "Wed, 18 Sep 2013 17:44:07 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 2015 20:46:24 GMT",
"version": "v2"
}
] | 2015-02-13 | [
[
"Kapustin",
"Anton",
""
],
[
"Thorngren",
"Ryan",
""
]
] | We study topological field theory describing gapped phases of gauge theories where the gauge symmetry is partially Higgsed and partially confined. The TQFT can be formulated both in the continuum and on the lattice and generalizes Dijkgraaf-Witten theory by replacing a finite group by a finite 2-group. The basic field in this TQFT is a 2-connection on a principal 2-bundle. We classify topological actions for such theories as well as loop and surface observables. When the topological action is trivial, the TQFT is related to a Dijkgraaf-Witten theory by electric-magnetic duality, but in general it is distinct. We propose the existence of new phases of matter protected by higher symmetry. |
hep-th/0103220 | Eva Silverstein | Allan Adams and Eva Silverstein | Closed String Tachyons, AdS/CFT, and Large N QCD | 28 pages, harvmac big. v2: references added; improved discussion of
RG improvement | Phys.Rev.D64:086001,2001 | 10.1103/PhysRevD.64.086001 | SLAC-PUB-8797 | hep-th | null | We find that tachyonic orbifold examples of AdS/CFT have corresponding
instabilities at small radius, and can decay to more generic gauge theories. We
do this by computing a destabilizing Coleman-Weinberg effective potential for
twisted operators of the corresponding quiver gauge theories, generalizing
calculations of Tseytlin and Zarembo and interpreting them in terms of the
large-N behavior of twisted-sector modes. The dynamically generated potential
involves double-trace operators, which affect large-N correlators involving
twisted fields but not those involving only untwisted fields, in line with
large-N inheritance arguments. We point out a simple reason that no such small
radius instability exists in gauge theories arising from freely acting
orbifolds, which are tachyon-free at large radius. When an instability is
present, twisted gauge theory operators with the quantum numbers of the
large-radius tachyons aquire VEVs, leaving a gauge theory with fewer degrees of
freedom in the infrared, analogous to but less extreme than ``decays to
nothing'' studied in other systems with broken supersymmetry. In some cases one
is left with pure glue QCD plus decoupled matter and U(1) factors in the IR,
which we thus conjecture is described by the corresponding (possibly strongly
coupled) endpoint of tachyon condensation in the M/String-theory dual.
| [
{
"created": "Mon, 26 Mar 2001 23:26:12 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Apr 2001 22:43:55 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Adams",
"Allan",
""
],
[
"Silverstein",
"Eva",
""
]
] | We find that tachyonic orbifold examples of AdS/CFT have corresponding instabilities at small radius, and can decay to more generic gauge theories. We do this by computing a destabilizing Coleman-Weinberg effective potential for twisted operators of the corresponding quiver gauge theories, generalizing calculations of Tseytlin and Zarembo and interpreting them in terms of the large-N behavior of twisted-sector modes. The dynamically generated potential involves double-trace operators, which affect large-N correlators involving twisted fields but not those involving only untwisted fields, in line with large-N inheritance arguments. We point out a simple reason that no such small radius instability exists in gauge theories arising from freely acting orbifolds, which are tachyon-free at large radius. When an instability is present, twisted gauge theory operators with the quantum numbers of the large-radius tachyons aquire VEVs, leaving a gauge theory with fewer degrees of freedom in the infrared, analogous to but less extreme than ``decays to nothing'' studied in other systems with broken supersymmetry. In some cases one is left with pure glue QCD plus decoupled matter and U(1) factors in the IR, which we thus conjecture is described by the corresponding (possibly strongly coupled) endpoint of tachyon condensation in the M/String-theory dual. |
hep-th/9909211 | Cecile Martin | C\'ecile Martin | Variational approximations for correlation functions in quantum field
theories | 60 pages, Latex, to be published in Annals of Physics | Annals Phys. 278 (1999) 202-264 | 10.1006/aphy.1999.5978 | null | hep-th | null | Applying the time-dependent variational principle of Balian and V\'en\'eroni,
we derive variational approximations for multi-time correlation functions in
$\Phi^4$ field theory. We assume first that the initial state is given and
characterized by a density operator equal to a Gaussian density matrix. Then,
we study the more realistic situation where only a few expectation values are
given at the initial time and we perform an optimization with respect to the
initial state. We calculate explicitly the two-time correlation functions with
two and four field operators at equilibrium in the symmetric phase.
| [
{
"created": "Wed, 29 Sep 1999 13:01:48 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Martin",
"Cécile",
""
]
] | Applying the time-dependent variational principle of Balian and V\'en\'eroni, we derive variational approximations for multi-time correlation functions in $\Phi^4$ field theory. We assume first that the initial state is given and characterized by a density operator equal to a Gaussian density matrix. Then, we study the more realistic situation where only a few expectation values are given at the initial time and we perform an optimization with respect to the initial state. We calculate explicitly the two-time correlation functions with two and four field operators at equilibrium in the symmetric phase. |
hep-th/9405116 | Boris A. Khesin | Boris Khesin and Feodor Malikov | Universal Drinfeld-Sokolov Reduction and Matrices of Complex Size | 29 pages, no figures | Commun.Math.Phys. 175 (1996) 113-134 | 10.1007/BF02101626 | null | hep-th math.QA | null | We construct affinization of the algebra $gl_{\lambda}$ of ``complex size''
matrices, that contains the algebras $\hat{gl_n}$ for integral values of the
parameter. The Drinfeld--Sokolov Hamiltonian reduction of the algebra
$\hat{gl_{\lambda}}$ results in the quadratic Gelfand--Dickey structure on the
Poisson--Lie group of all pseudodifferential operators of fractional order.
This construction is extended to the simultaneous deformation of orthogonal and
simplectic algebras that produces self-adjoint operators, and it has a
counterpart for the Toda lattices with fractional number of particles.
| [
{
"created": "Wed, 18 May 1994 17:51:11 GMT",
"version": "v1"
},
{
"created": "Tue, 31 May 1994 20:19:27 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Khesin",
"Boris",
""
],
[
"Malikov",
"Feodor",
""
]
] | We construct affinization of the algebra $gl_{\lambda}$ of ``complex size'' matrices, that contains the algebras $\hat{gl_n}$ for integral values of the parameter. The Drinfeld--Sokolov Hamiltonian reduction of the algebra $\hat{gl_{\lambda}}$ results in the quadratic Gelfand--Dickey structure on the Poisson--Lie group of all pseudodifferential operators of fractional order. This construction is extended to the simultaneous deformation of orthogonal and simplectic algebras that produces self-adjoint operators, and it has a counterpart for the Toda lattices with fractional number of particles. |
hep-th/9812075 | Tsukanov | V. D. Tsukanov | Relativistically Invariant Description of Fluctuations Against the
Background of Classical Kink Solutions | 11 pages, LaTex, corrected some typos | null | null | null | hep-th | null | A relativistically invariant scheme for the description of excited states in
a one-kink sector is formulated. The normal oscillations of fluctuations
against the background of a moving kink are determined. Zero mode of these
oscillations is excluded automatically due to the properties of the integral
equation describing normal oscillations. A Hamiltonian for elementary
excitations is obtained reflecting the relativistic nature of the problem
considered. (35 kb)
| [
{
"created": "Wed, 9 Dec 1998 13:53:15 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jan 1999 14:12:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Tsukanov",
"V. D.",
""
]
] | A relativistically invariant scheme for the description of excited states in a one-kink sector is formulated. The normal oscillations of fluctuations against the background of a moving kink are determined. Zero mode of these oscillations is excluded automatically due to the properties of the integral equation describing normal oscillations. A Hamiltonian for elementary excitations is obtained reflecting the relativistic nature of the problem considered. (35 kb) |
0901.0538 | Chiang-Mei Chen | Chiang-Mei Chen and John E. Wang | Holographic Duals of Black Holes in Five-dimensional Minimal
Supergravity | inaccurate descriptions are clarified | null | 10.1088/0264-9381/27/7/075004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the dual conformal field theory for extremal charged black holes
in five-dimensional minimal supergravity with 2 independent angular momenta.
The conformal field theory Virasoro algebra, central charge, and temperature
are calculated. Additionally the conformal field theory entropy is calculated
using the Cardy formula and agrees with the Bekenstein-Hawking black hole
entropy. The central charges are directly proportional to the angular momentum
components of the black hole. In five and higher dimensions, rotations of the
spacetime correspond to rotations of the central charges leading to an apparent
symmetry relating the conformal field theories dual to each black hole. A
rotationally invariant central charge, which is proportional to the total
angular momentum, is used to discuss the supersymmetric BMPV black hole limits.
| [
{
"created": "Mon, 5 Jan 2009 19:31:21 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Feb 2009 01:34:47 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Aug 2009 08:06:41 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Chen",
"Chiang-Mei",
""
],
[
"Wang",
"John E.",
""
]
] | We examine the dual conformal field theory for extremal charged black holes in five-dimensional minimal supergravity with 2 independent angular momenta. The conformal field theory Virasoro algebra, central charge, and temperature are calculated. Additionally the conformal field theory entropy is calculated using the Cardy formula and agrees with the Bekenstein-Hawking black hole entropy. The central charges are directly proportional to the angular momentum components of the black hole. In five and higher dimensions, rotations of the spacetime correspond to rotations of the central charges leading to an apparent symmetry relating the conformal field theories dual to each black hole. A rotationally invariant central charge, which is proportional to the total angular momentum, is used to discuss the supersymmetric BMPV black hole limits. |
hep-th/9511153 | Bala Sathiapalan | B. Sathiapalan | On Covariant Derivatives and Gauge Invariance in the Proper Time
Formalism for String Theory | Latex file, 18 pages | Mod.Phys.Lett. A11 (1996) 317-330 | 10.1142/S0217732396000369 | null | hep-th | null | It is shown that the idea of ``minimal'' coupling to gauge fields can be
conveniently implemented in the proper time formalism by identifying the
equivalent of a ``covariant derivative''. This captures some of the geometric
notion of the gauge field as a connection. The proper time equation is also
generalized so that the gauge invariances associated with higher spin massive
modes can be made manifest, at the free level, using loop variables. Some
explicit examples are worked out illustrating these ideas.
| [
{
"created": "Wed, 22 Nov 1995 14:10:00 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Nov 1995 03:23:00 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Sathiapalan",
"B.",
""
]
] | It is shown that the idea of ``minimal'' coupling to gauge fields can be conveniently implemented in the proper time formalism by identifying the equivalent of a ``covariant derivative''. This captures some of the geometric notion of the gauge field as a connection. The proper time equation is also generalized so that the gauge invariances associated with higher spin massive modes can be made manifest, at the free level, using loop variables. Some explicit examples are worked out illustrating these ideas. |
0906.2303 | Giampiero Esposito Dr. | Elisabetta Di Grezia, Giampiero Esposito | Non-commutative Kerr black hole | 14 pages. The original calculations are completely new | Int.J.Geom.Meth.Mod.Phys.08:657-668,2011 | 10.1142/S0219887811005324 | DSF 2009/9 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper applies the first-order Seiberg-Witten map to evaluate the
first-order non-commutative Kerr tetrad. The classical tetrad is taken to
follow the locally non-rotating frame prescription. We also evaluate the tiny
effect of non-commutativity on the efficiency of the Penrose process of
rotational energy extraction from a black hole.
| [
{
"created": "Fri, 12 Jun 2009 11:39:25 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jul 2009 15:48:48 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Sep 2010 07:02:09 GMT",
"version": "v3"
}
] | 2011-06-27 | [
[
"Di Grezia",
"Elisabetta",
""
],
[
"Esposito",
"Giampiero",
""
]
] | This paper applies the first-order Seiberg-Witten map to evaluate the first-order non-commutative Kerr tetrad. The classical tetrad is taken to follow the locally non-rotating frame prescription. We also evaluate the tiny effect of non-commutativity on the efficiency of the Penrose process of rotational energy extraction from a black hole. |
1511.05695 | Pisin Chen | Pisin Chen, Yen Chin Ong, Don N. Page, Misao Sasaki, and Dong-han Yeom | Naked Black Hole Firewalls | 5 pages, 1 figure, Title changed to agree with the version accepted
by Phys. Rev. Lett. (April 2016) | Phys. Rev. Lett. 116, 161304 (2016) | 10.1103/PhysRevLett.116.161304 | NORDITA-2015-130, Alberta Thy 17-15, YITP-15-98 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the firewall proposal, it is assumed that the firewall lies near the event
horizon and should not be observable except by infalling observers, who are
presumably terminated at the firewall. However, if the firewall is located near
where the horizon would have been, based on the spacetime evolution up to that
time, later quantum fluctuations of the Hawking emission rate can cause the
"teleological" event horizon to have migrated to the inside of the firewall
location, rendering the firewall naked. In principle, the firewall can be
arbitrarily far outside the horizon. This casts doubt about the notion that
firewalls are the "most conservative" solution to the information loss paradox.
| [
{
"created": "Wed, 18 Nov 2015 08:43:41 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Dec 2015 12:54:08 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Mar 2016 06:56:08 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Apr 2016 15:03:45 GMT",
"version": "v4"
}
] | 2016-04-27 | [
[
"Chen",
"Pisin",
""
],
[
"Ong",
"Yen Chin",
""
],
[
"Page",
"Don N.",
""
],
[
"Sasaki",
"Misao",
""
],
[
"Yeom",
"Dong-han",
""
]
] | In the firewall proposal, it is assumed that the firewall lies near the event horizon and should not be observable except by infalling observers, who are presumably terminated at the firewall. However, if the firewall is located near where the horizon would have been, based on the spacetime evolution up to that time, later quantum fluctuations of the Hawking emission rate can cause the "teleological" event horizon to have migrated to the inside of the firewall location, rendering the firewall naked. In principle, the firewall can be arbitrarily far outside the horizon. This casts doubt about the notion that firewalls are the "most conservative" solution to the information loss paradox. |
1006.3667 | Timothy J. Hollowood | Timothy J. Hollowood and J. Luis Miramontes | The Relativistic Avatars of Giant Magnons and their S-Matrix | 33 pages, important correction to S-matrix to ensure crossing
symmetry | JHEP 1010:012,2010 | 10.1007/JHEP10(2010)012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The motion of strings on symmetric space target spaces underlies the
integrability of the AdS/CFT correspondence. Although these theories, whose
excitations are giant magnons, are non-relativistic they are classically
equivalent, via the Polhmeyer reduction, to a relativistic integrable field
theory known as a symmetric space sine-Gordon theory. These theories can be
formulated as integrable deformations of gauged WZW models. In this work we
consider the class of symmetric spaces CP^{n+1} and solve the corresponding
generalized sine-Gordon theories at the quantum level by finding the exact
spectrum of topological solitons, or kinks, and their S-matrix. The latter
involves a trignometric solution of the Yang-Baxer equation which exhibits a
quantum group symmetry with a tower of states that is bounded, unlike for
magnons, as a result of the quantum group deformation parameter q being a root
of unity. We test the S-matrix by taking the semi-classical limit and comparing
with the time delays for the scattering of classical solitons. We argue that
the internal CP^{n-1} moduli space of collective coordinates of the solitons in
the classical theory can be interpreted as a q-deformed fuzzy space in the
quantum theory. We analyse the n=1 case separately and provide a further test
of the S-matrix conjecture in this case by calculating the central charge of
the UV CFT using the thermodynamic Bethe Ansatz.
| [
{
"created": "Fri, 18 Jun 2010 11:36:48 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jul 2010 13:42:13 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
]
] | The motion of strings on symmetric space target spaces underlies the integrability of the AdS/CFT correspondence. Although these theories, whose excitations are giant magnons, are non-relativistic they are classically equivalent, via the Polhmeyer reduction, to a relativistic integrable field theory known as a symmetric space sine-Gordon theory. These theories can be formulated as integrable deformations of gauged WZW models. In this work we consider the class of symmetric spaces CP^{n+1} and solve the corresponding generalized sine-Gordon theories at the quantum level by finding the exact spectrum of topological solitons, or kinks, and their S-matrix. The latter involves a trignometric solution of the Yang-Baxer equation which exhibits a quantum group symmetry with a tower of states that is bounded, unlike for magnons, as a result of the quantum group deformation parameter q being a root of unity. We test the S-matrix by taking the semi-classical limit and comparing with the time delays for the scattering of classical solitons. We argue that the internal CP^{n-1} moduli space of collective coordinates of the solitons in the classical theory can be interpreted as a q-deformed fuzzy space in the quantum theory. We analyse the n=1 case separately and provide a further test of the S-matrix conjecture in this case by calculating the central charge of the UV CFT using the thermodynamic Bethe Ansatz. |
hep-th/0309015 | Martin Rocek | Leszek Hadasz, Ulf Lindstrom, Martin Rocek, Rikard von Unge | Time dependent solitons of noncommutative Chern-Simons theory coupled to
scalar fields | 22 pages, 2 figures, JHEP3 style. v2: This paper is a thoroughly
revised version. We thank P.A. Horvathy, L. Martina and P.C. Stichel for
illuminating comments that led us to reconsider some of our previously
reported results; see note added at the end of the paper. v3:
Acknowledgements added | Phys.Rev. D69 (2004) 105020 | 10.1103/PhysRevD.69.105020 | UUITP-13-03, YITP-SB-03-38 | hep-th | null | We study one- and two-soliton solutions of noncommutative Chern-Simons theory
coupled to a nonrelativistic or a relativistic scalar field. In the
nonrelativistic case, we find a tower of new stationary time-dependent
solutions, all with the same charge density, but with increasing energies. The
dynamics of these solitons cannot be studied using traditional moduli space
techniques, but we do find a nontrivial symplectic form on the phase space
indicating that the moduli space is not flat. In the relativistic case we find
the metric on the two soliton moduli space.
| [
{
"created": "Mon, 1 Sep 2003 16:14:58 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Nov 2003 23:24:21 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Dec 2003 18:50:11 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Hadasz",
"Leszek",
""
],
[
"Lindstrom",
"Ulf",
""
],
[
"Rocek",
"Martin",
""
],
[
"von Unge",
"Rikard",
""
]
] | We study one- and two-soliton solutions of noncommutative Chern-Simons theory coupled to a nonrelativistic or a relativistic scalar field. In the nonrelativistic case, we find a tower of new stationary time-dependent solutions, all with the same charge density, but with increasing energies. The dynamics of these solitons cannot be studied using traditional moduli space techniques, but we do find a nontrivial symplectic form on the phase space indicating that the moduli space is not flat. In the relativistic case we find the metric on the two soliton moduli space. |
2105.08673 | Ashish Shukla | Sebastian Grieninger and Ashish Shukla | Second order equilibrium transport in strongly coupled $\mathcal{N} = 4$
supersymmetric $SU(N_c)$ Yang-Mills plasma via holography | v2: Chern-Simons term included in the bulk description. Several
presentation improvements and added clarifications. Multiple additional
references | Journal of High Energy Physics 2021, Article number: 108 (2021) | 10.1007/JHEP08(2021)108 | IFT-UAM/CSIC-21-56 | hep-th hep-lat nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A relativistic fluid in 3+1 dimensions with a global $U(1)$ symmetry admits
nine independent static susceptibilities at the second order in the
hydrodynamic derivative expansion, which capture the response of the fluid in
thermal equilibrium to the presence of external time-independent sources. Of
these, seven are time-reversal $\mathbb{T}$ invariant and can be obtained from
Kubo formulas involving equilibrium two-point functions of the energy-momentum
tensor and the $U(1)$ current. Making use of the gauge/gravity duality along
with the aforementioned Kubo formulas, we compute all seven $\mathbb{T}$
invariant second order susceptibilities for the $\mathcal{N} = 4$
supersymmetric $SU(N_c)$ Yang-Mills plasma in the limit of large $N_c$ and at
strong 't-Hooft coupling $\lambda$. In particular, we consider the plasma to be
charged under a $U(1)$ subgroup of the global $SU(4)$ R-symmetry of the theory.
We present analytic expressions for three of the seven $\mathbb{T}$ invariant
susceptibilities, while the remaining four are computed numerically. The dual
gravitational description for the charged plasma in thermal equilibrium in the
absence of background electric and magnetic fields is provided by the
asymptotically AdS$_5$ Reissner-Nordstr\"{o}m black brane geometry. The
susceptibilities are extracted by studying perturbations to the bulk geometry
as well as to the bulk gauge field. We also present an estimate of the second
order transport coefficient $\kappa$, which determines the response of the
fluid to the presence of background curvature, for QCD, and compare it with
previous determinations made using different techniques.
| [
{
"created": "Tue, 18 May 2021 17:04:03 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Aug 2021 17:55:03 GMT",
"version": "v2"
}
] | 2021-08-26 | [
[
"Grieninger",
"Sebastian",
""
],
[
"Shukla",
"Ashish",
""
]
] | A relativistic fluid in 3+1 dimensions with a global $U(1)$ symmetry admits nine independent static susceptibilities at the second order in the hydrodynamic derivative expansion, which capture the response of the fluid in thermal equilibrium to the presence of external time-independent sources. Of these, seven are time-reversal $\mathbb{T}$ invariant and can be obtained from Kubo formulas involving equilibrium two-point functions of the energy-momentum tensor and the $U(1)$ current. Making use of the gauge/gravity duality along with the aforementioned Kubo formulas, we compute all seven $\mathbb{T}$ invariant second order susceptibilities for the $\mathcal{N} = 4$ supersymmetric $SU(N_c)$ Yang-Mills plasma in the limit of large $N_c$ and at strong 't-Hooft coupling $\lambda$. In particular, we consider the plasma to be charged under a $U(1)$ subgroup of the global $SU(4)$ R-symmetry of the theory. We present analytic expressions for three of the seven $\mathbb{T}$ invariant susceptibilities, while the remaining four are computed numerically. The dual gravitational description for the charged plasma in thermal equilibrium in the absence of background electric and magnetic fields is provided by the asymptotically AdS$_5$ Reissner-Nordstr\"{o}m black brane geometry. The susceptibilities are extracted by studying perturbations to the bulk geometry as well as to the bulk gauge field. We also present an estimate of the second order transport coefficient $\kappa$, which determines the response of the fluid to the presence of background curvature, for QCD, and compare it with previous determinations made using different techniques. |
hep-th/0505168 | Changhyun Ahn | Changhyun Ahn and Justin F. Vazquez-Poritz | Marginal Deformations with U(1)^3 Global Symmetry | 28pp; Refs. added and to appear in JHEP | JHEP 0507 (2005) 032 | 10.1088/1126-6708/2005/07/032 | null | hep-th | null | We generate new 11-dimensional supergravity solutions from deformations based
on U(1)^3 symmetries. The initial geometries are of the form AdS_4 x Y_7, where
Y_7 is a 7-dimensional Sasaki-Einstein space. We consider a general family of
cohomogeneity one Sasaki-Einstein spaces, as well as the recently-constructed
cohomogeneity three L^{p,q,r,s} spaces. For certain cases, such as when the
Sasaki-Einstein space is S^7, Q^{1,1,1} or M^{1,1,1}, the deformed gravity
solutions correspond to a marginal deformation of a known dual gauge theory.
| [
{
"created": "Wed, 18 May 2005 18:27:07 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2005 14:32:59 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Ahn",
"Changhyun",
""
],
[
"Vazquez-Poritz",
"Justin F.",
""
]
] | We generate new 11-dimensional supergravity solutions from deformations based on U(1)^3 symmetries. The initial geometries are of the form AdS_4 x Y_7, where Y_7 is a 7-dimensional Sasaki-Einstein space. We consider a general family of cohomogeneity one Sasaki-Einstein spaces, as well as the recently-constructed cohomogeneity three L^{p,q,r,s} spaces. For certain cases, such as when the Sasaki-Einstein space is S^7, Q^{1,1,1} or M^{1,1,1}, the deformed gravity solutions correspond to a marginal deformation of a known dual gauge theory. |
0704.3326 | Ralf Hofmann | Dariush Kaviani and Ralf Hofmann | Irreducible three-loop contributions to the pressure in Yang-Mills
thermodynamics | 10 pages, 3 figures | Mod.Phys.Lett.A22:2343-2352,2007 | 10.1142/S0217732307024413 | KA-TP-11-2007 | hep-th | null | In the effective theory for the deconfining phase of SU(2) Yang-Mills
thermodynamics we compute estimates for the moduli of the irreducible
three-loop diagrams contributing to the pressure. Our numerical results are in
agreement with general expectations.
| [
{
"created": "Wed, 25 Apr 2007 08:57:21 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kaviani",
"Dariush",
""
],
[
"Hofmann",
"Ralf",
""
]
] | In the effective theory for the deconfining phase of SU(2) Yang-Mills thermodynamics we compute estimates for the moduli of the irreducible three-loop diagrams contributing to the pressure. Our numerical results are in agreement with general expectations. |
hep-th/0002179 | Mohammad Reza Setare | M.R. Setare and A. Saharain | Casimir Effect in Background of Static Domain Wall | 8 Pages | Int.J.Mod.Phys. A16 (2001) 1463-1470 | 10.1142/S0217751X01002865 | null | hep-th | null | In this paper we investigate the vacuum expectation values of energy-
momentum tensor for conformally coupled scalar field in the standard parallel
plate geometry with Dirichlet boundary conditions and on background of planar
domain wall case. First we calculate the vacuum expectation values of
energy-momentum tensor by using the mode sums, then we show that corresponding
properties can be obtained by using the conformal properties of the problem.
The vacuum expectation values of energy-momentum tensor contains two terms
which come from the boundary conditions and the the gravitational background.
In the Minkovskian limit our results agree with those obtained in [3].
| [
{
"created": "Tue, 22 Feb 2000 07:26:54 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Apr 2000 04:49:26 GMT",
"version": "v2"
}
] | 2015-06-25 | [
[
"Setare",
"M. R.",
""
],
[
"Saharain",
"A.",
""
]
] | In this paper we investigate the vacuum expectation values of energy- momentum tensor for conformally coupled scalar field in the standard parallel plate geometry with Dirichlet boundary conditions and on background of planar domain wall case. First we calculate the vacuum expectation values of energy-momentum tensor by using the mode sums, then we show that corresponding properties can be obtained by using the conformal properties of the problem. The vacuum expectation values of energy-momentum tensor contains two terms which come from the boundary conditions and the the gravitational background. In the Minkovskian limit our results agree with those obtained in [3]. |
1405.3213 | Jean Alexandre | Jean Alexandre | Non-Hermitian Lagrangian for quasi-relativistic fermions | 9 pages, comments added | null | null | KCL-PH-TH/2014-23 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a Lorentz-symmetry violating Lagrangian for free fermions, which
is local but not Hermitian, whereas the corresponding Hamiltonian is Hermitian
but not local. A specific feature of the model is that the dispersion relation
is relativistic in both the IR and in the UV, but not in an intermediate
regime, set by a given mass scale. The consistency of the model is shown by the
study of properties expected in analogy with the Dirac Lagrangian.
| [
{
"created": "Tue, 13 May 2014 16:15:42 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 2014 13:18:31 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Dec 2014 20:15:36 GMT",
"version": "v3"
}
] | 2014-12-10 | [
[
"Alexandre",
"Jean",
""
]
] | We present a Lorentz-symmetry violating Lagrangian for free fermions, which is local but not Hermitian, whereas the corresponding Hamiltonian is Hermitian but not local. A specific feature of the model is that the dispersion relation is relativistic in both the IR and in the UV, but not in an intermediate regime, set by a given mass scale. The consistency of the model is shown by the study of properties expected in analogy with the Dirac Lagrangian. |
hep-th/9711085 | Karl-Henning Rehren | Karl-Henning Rehren | Spin-Statistics and CPT for solitons | 10 pages, one reference and report-no. added | Lett.Math.Phys.46:95-110,1998 | 10.1023/A:1007436124379 | ESI 501 (1997) | hep-th quant-ph | null | The statistics of soliton sectors of massive 2D field theories is analysed.
In the soliton field algebra, the non-local commutation relations are
determined and Weak Locality, Spin-Statistics and CPT theorems are proven.
These theorems depart from their usual appearance due to the broken symmetry
connecting the inequivalent vacua. An interpretation in terms of modular theory
is given. For the neutral subalgebra, the theorems hold in the familiar form,
and Twisted Locality is derived.
| [
{
"created": "Wed, 12 Nov 1997 17:35:26 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Nov 1997 12:25:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Rehren",
"Karl-Henning",
""
]
] | The statistics of soliton sectors of massive 2D field theories is analysed. In the soliton field algebra, the non-local commutation relations are determined and Weak Locality, Spin-Statistics and CPT theorems are proven. These theorems depart from their usual appearance due to the broken symmetry connecting the inequivalent vacua. An interpretation in terms of modular theory is given. For the neutral subalgebra, the theorems hold in the familiar form, and Twisted Locality is derived. |
hep-th/0108192 | Yu. M. Zinoviev | Yu. M. Zinoviev (IHEP) | On Massive High Spin Particles in (A)dS | new references and one comments added | null | null | null | hep-th | null | In this Letter we consider the problem of partial masslessness and unitarity
in (A)dS using gauge invariant description of massive high spin particles. We
show that for S = 2 and S = 3 cases such formalism allows one correctly
reproduce all known results. Then we construct a gauge invariant formulation
for massive particles of arbitrary integer spin s in arbitrary space-time
dimension d. For d = 4 our results confirm the conjecture made recently by
Deser and Waldron.
| [
{
"created": "Mon, 27 Aug 2001 05:15:12 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Nov 2001 13:01:55 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Zinoviev",
"Yu. M.",
"",
"IHEP"
]
] | In this Letter we consider the problem of partial masslessness and unitarity in (A)dS using gauge invariant description of massive high spin particles. We show that for S = 2 and S = 3 cases such formalism allows one correctly reproduce all known results. Then we construct a gauge invariant formulation for massive particles of arbitrary integer spin s in arbitrary space-time dimension d. For d = 4 our results confirm the conjecture made recently by Deser and Waldron. |
hep-th/0010010 | Steven S. Gubser | Steven S. Gubser (Princeton University) | Supersymmetry and F-theory realization of the deformed conifold with
three-form flux | 11 pages, latex | null | null | PUPT-1957 | hep-th | null | It is shown that the deformed conifold solution with three-form flux, found
by Klebanov and Strassler, is supersymmetric, and that it admits a simple
F-theory description in terms of a direct product of the deformed conifold and
a torus. Some general remarks on Ramond-Ramond backgrounds and warped
compactifications are included.
| [
{
"created": "Mon, 2 Oct 2000 22:41:53 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Oct 2000 22:53:33 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Gubser",
"Steven S.",
"",
"Princeton University"
]
] | It is shown that the deformed conifold solution with three-form flux, found by Klebanov and Strassler, is supersymmetric, and that it admits a simple F-theory description in terms of a direct product of the deformed conifold and a torus. Some general remarks on Ramond-Ramond backgrounds and warped compactifications are included. |
1105.6114 | Hong Lu | H. Lu, C.N. Pope and Zhao-Long Wang | Pseudo-supersymmetry, Consistent Sphere Reduction and Killing Spinors
for the Bosonic String | Latex, 15 pages | null | 10.1016/j.physletb.2011.07.041 | MIFPA-11-19 KIAS-P11028 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Certain supergravity theories admit a remarkable consistent dimensional
reduction in which the internal space is a sphere. Examples include type IIB
supergravity reduced on S^5, and eleven-dimensional supergravity reduced on S^4
or S^7. Consistency means that any solution of the dimensionally-reduced theory
lifts to give a solution in the higher dimension. Although supersymmetry seems
to play a role in the consistency of these reductions, it cannot be the whole
story since consistent sphere reductions of non-supersymmetric theories are
also known, such as the reduction of the effective action of the bosonic string
in any dimension D on either a 3-sphere or a (D-3)-sphere, retaining the gauge
bosons of SO(4) or SO(D-2) respectively. We show that although there is no
supersymmetry, there is nevertheless a natural Killing spinor equation for the
D-dimensional bosonic string. A projection of the full integrability condition
for these Killing spinors gives rise to the bosonic equations of motion (just
as happens in the supergravity examples). Thus it appears that by extending the
notion of supersymmetry to "pseudo-supersymmetry" in this way, one may be able
to obtain a broader understanding of a relation between Killing spinors and
consistent sphere reductions.
| [
{
"created": "Mon, 30 May 2011 21:10:56 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Wang",
"Zhao-Long",
""
]
] | Certain supergravity theories admit a remarkable consistent dimensional reduction in which the internal space is a sphere. Examples include type IIB supergravity reduced on S^5, and eleven-dimensional supergravity reduced on S^4 or S^7. Consistency means that any solution of the dimensionally-reduced theory lifts to give a solution in the higher dimension. Although supersymmetry seems to play a role in the consistency of these reductions, it cannot be the whole story since consistent sphere reductions of non-supersymmetric theories are also known, such as the reduction of the effective action of the bosonic string in any dimension D on either a 3-sphere or a (D-3)-sphere, retaining the gauge bosons of SO(4) or SO(D-2) respectively. We show that although there is no supersymmetry, there is nevertheless a natural Killing spinor equation for the D-dimensional bosonic string. A projection of the full integrability condition for these Killing spinors gives rise to the bosonic equations of motion (just as happens in the supergravity examples). Thus it appears that by extending the notion of supersymmetry to "pseudo-supersymmetry" in this way, one may be able to obtain a broader understanding of a relation between Killing spinors and consistent sphere reductions. |
2101.07678 | Matej Kudrna | Mat\v{e}j Kudrna | Level Truncation Approach to Open String Field Theory | 272 pages, 61 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given a D-brane background in string theory (or equivalently boundary
conditions in a two-dimensional conformal field theory), classical solutions of
open string field theory equations of motion are conjectured to describe new
D-brane backgrounds (boundary conditions). In this thesis, we study these
solutions in bosonic open string field theory using the level truncation
approach, which is a numerical approach where the string field is truncated to
a finite number of degrees of freedom.
We start with a review of the theoretical background and numerical methods
which are needed in the level truncation approach and then we discuss solutions
on several different backgrounds. First, we discuss universal solutions, which
do not depend on the open string background, then we analyze solutions of the
free boson theory compactified on a circle or on a torus, then marginal
solutions in three different approaches and finally solutions in theories which
include the A-series of Virasoro minimal models. In addition to known D-branes,
we find so-called exotic solutions which potentially describe yet unknown
boundary states.
This paper is based on my doctoral thesis submitted to the Faculty of
Mathematics and Physics at Charles University in Prague.
| [
{
"created": "Tue, 19 Jan 2021 15:20:07 GMT",
"version": "v1"
}
] | 2021-01-20 | [
[
"Kudrna",
"Matěj",
""
]
] | Given a D-brane background in string theory (or equivalently boundary conditions in a two-dimensional conformal field theory), classical solutions of open string field theory equations of motion are conjectured to describe new D-brane backgrounds (boundary conditions). In this thesis, we study these solutions in bosonic open string field theory using the level truncation approach, which is a numerical approach where the string field is truncated to a finite number of degrees of freedom. We start with a review of the theoretical background and numerical methods which are needed in the level truncation approach and then we discuss solutions on several different backgrounds. First, we discuss universal solutions, which do not depend on the open string background, then we analyze solutions of the free boson theory compactified on a circle or on a torus, then marginal solutions in three different approaches and finally solutions in theories which include the A-series of Virasoro minimal models. In addition to known D-branes, we find so-called exotic solutions which potentially describe yet unknown boundary states. This paper is based on my doctoral thesis submitted to the Faculty of Mathematics and Physics at Charles University in Prague. |
hep-th/0304181 | Akikazu Hashimoto | Eric G. Gimon and Akikazu Hashimoto | Black holes in Godel universes and pp-waves | 9 pages, 1 figure | Phys.Rev.Lett. 91 (2003) 021601 | 10.1103/PhysRevLett.91.021601 | null | hep-th | null | We find exact rotating and non-rotating neutral black hole solutions in the
Godel universe of the five dimensional minimal supergravity theory. We also
describe the embedding of this solution in M-theory. After dimensional
reduction and T-duality, we obtain a supergravity solution corresponding to
placing a black string in a pp-wave background.
| [
{
"created": "Mon, 21 Apr 2003 20:00:05 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Gimon",
"Eric G.",
""
],
[
"Hashimoto",
"Akikazu",
""
]
] | We find exact rotating and non-rotating neutral black hole solutions in the Godel universe of the five dimensional minimal supergravity theory. We also describe the embedding of this solution in M-theory. After dimensional reduction and T-duality, we obtain a supergravity solution corresponding to placing a black string in a pp-wave background. |
2302.00395 | Azadeh Mohammadi | Jo\'as Ven\^ancio and Azadeh Mohammadi | Integrability of the Dirac Equation in the Presence of Fluxes on Product
Manifolds | null | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | This paper aims to show that the Dirac equation coupled to an arbitrary
inhomogeneous flux field admits separation in manifolds formed from the direct
product of bidimensional spaces. As a direct application of these results, we
study a spin-$1/2$ charged particle propagating in a background conformally
related to a novel and complex string-inspired model in $D = 10$ spacetime
dimension whose base manifold is a product of four two-dimensional unit
spheres, $S^{2}$, in the presence of $1$- and $3$-form fluxes.
| [
{
"created": "Wed, 1 Feb 2023 12:20:14 GMT",
"version": "v1"
}
] | 2023-02-02 | [
[
"Venâncio",
"Joás",
""
],
[
"Mohammadi",
"Azadeh",
""
]
] | This paper aims to show that the Dirac equation coupled to an arbitrary inhomogeneous flux field admits separation in manifolds formed from the direct product of bidimensional spaces. As a direct application of these results, we study a spin-$1/2$ charged particle propagating in a background conformally related to a novel and complex string-inspired model in $D = 10$ spacetime dimension whose base manifold is a product of four two-dimensional unit spheres, $S^{2}$, in the presence of $1$- and $3$-form fluxes. |
1910.11427 | Carlos Roberto Senise Junior | M. Dias, Daniel L. Nedel and C. R. Senise Jr | Time dependent Entanglement Entropy in dissipative conformal theories:
TFD approach | 30 pages. New figure and new subsection added. Some misprints
corrected | null | 10.1007/s13538-021-00934-3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work the TFD formalism is explored in order to study a dissipative
time-dependent thermal vacuum. This state is a consequence of a particular
interaction between two theories, which can be interpreted as two conformal
theories defined at the two asymptotic boundaries of an AdS black hole. The
initial state is prepared to be the equilibrium TFD thermal vacuum. The
interaction causes dissipation from the point of view of observers who measure
observables in one of the boundaries. We show that the vacuum evolves as an
entangled state at finite temperature and the dissipative dynamics is
controlled by the time-dependent entropy operator, defined in the
non-equilibrium TFD framework. We use lattice field theory techniques to
calculate the non-equilibrium thermodynamic entropy and the finite temperature
entanglement entropy. We show that both grow linearly with time.
| [
{
"created": "Thu, 24 Oct 2019 21:23:30 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jul 2020 00:03:53 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Dec 2020 01:27:50 GMT",
"version": "v3"
},
{
"created": "Tue, 13 Apr 2021 19:42:43 GMT",
"version": "v4"
}
] | 2021-11-16 | [
[
"Dias",
"M.",
""
],
[
"Nedel",
"Daniel L.",
""
],
[
"Senise",
"C. R.",
"Jr"
]
] | In this work the TFD formalism is explored in order to study a dissipative time-dependent thermal vacuum. This state is a consequence of a particular interaction between two theories, which can be interpreted as two conformal theories defined at the two asymptotic boundaries of an AdS black hole. The initial state is prepared to be the equilibrium TFD thermal vacuum. The interaction causes dissipation from the point of view of observers who measure observables in one of the boundaries. We show that the vacuum evolves as an entangled state at finite temperature and the dissipative dynamics is controlled by the time-dependent entropy operator, defined in the non-equilibrium TFD framework. We use lattice field theory techniques to calculate the non-equilibrium thermodynamic entropy and the finite temperature entanglement entropy. We show that both grow linearly with time. |
hep-th/0408056 | Saharian | A. A. Saharian, A. S. Kotanjyan | Synchrotron radiation from a charge moving along a helical orbit inside
a dielectric cylinder | 18 pages, 8 EPS figures | J.Phys.A38:4275-4292,2005 | 10.1088/0305-4470/38/19/016 | null | hep-th cond-mat.other physics.acc-ph | null | The radiation emitted by a charged particle moving along a helical orbit
inside a dielectric cylinder immersed into a homogeneous medium is
investigated. Expressions are derived for the electromagnetic potentials,
electric and magnetic fields, and for the spectral-angular distribution of
radiation in the exterior medium. It is shown that under the Cherenkov
condition for dielectric permittivity of the cylinder and the velocity of the
particle image on the cylinder surface, strong narrow peaks are present in the
angular distribution for the number of radiated quanta. At these peaks the
radiated energy exceeds the corresponding quantity for a homogeneous medium by
some orders of magnitude. The results of numerical calculations for the angular
distribution of radiated quanta are presented and they are compared with the
corresponding quantities for radiation in a homogeneous medium. The special
case of relativistic charged particle motion along the direction of the
cylinder axis with non-relativistic transverse velocity (helical undulator) is
considered in detail. Various regimes for the undulator parameter are
discussed. It is shown that the presence of the cylinder can increase
essentially the radiation intensity.
| [
{
"created": "Fri, 6 Aug 2004 18:25:03 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Saharian",
"A. A.",
""
],
[
"Kotanjyan",
"A. S.",
""
]
] | The radiation emitted by a charged particle moving along a helical orbit inside a dielectric cylinder immersed into a homogeneous medium is investigated. Expressions are derived for the electromagnetic potentials, electric and magnetic fields, and for the spectral-angular distribution of radiation in the exterior medium. It is shown that under the Cherenkov condition for dielectric permittivity of the cylinder and the velocity of the particle image on the cylinder surface, strong narrow peaks are present in the angular distribution for the number of radiated quanta. At these peaks the radiated energy exceeds the corresponding quantity for a homogeneous medium by some orders of magnitude. The results of numerical calculations for the angular distribution of radiated quanta are presented and they are compared with the corresponding quantities for radiation in a homogeneous medium. The special case of relativistic charged particle motion along the direction of the cylinder axis with non-relativistic transverse velocity (helical undulator) is considered in detail. Various regimes for the undulator parameter are discussed. It is shown that the presence of the cylinder can increase essentially the radiation intensity. |
hep-th/0106113 | Andrew Strominger | Andrew Strominger | The dS/CFT Correspondence | Assorted errors and typos corrected, references addded | JHEP 0110:034,2001 | 10.1088/1126-6708/2001/10/034 | null | hep-th | null | A holographic duality is proposed relating quantum gravity on dS_D
(D-dimensional de Sitter space) to conformal field theory on a single S^{D-1}
((D-1)-sphere), in which bulk de Sitter correlators with points on the boundary
are related to CFT correlators on the sphere, and points on I^+ (the future
boundary of dS_D) are mapped to the antipodal points on S^{D-1} relative to
those on I^-. For the case of dS_3, which is analyzed in some detail, the
central charge of the CFT_2 is computed in an analysis of the asymptotic
symmetry group at I^\pm. This dS/CFT proposal is supported by the computation
of correlation functions of a massive scalar field. In general the dual CFT may
be non-unitary and (if for example there are sufficently massive stable
scalars) contain complex conformal weights. We also consider the physical
region O^- of dS_3 corresponding to the causal past of a timelike observer,
whose holographic dual lives on a plane rather than a sphere. O^- can be
foliated by asymptotically flat spacelike slices. Time evolution along these
slices is generated by L_0+\bar L_0, and is dual to scale transformations in
the boundary CFT_2.
| [
{
"created": "Thu, 14 Jun 2001 01:17:52 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jul 2001 19:47:02 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Strominger",
"Andrew",
""
]
] | A holographic duality is proposed relating quantum gravity on dS_D (D-dimensional de Sitter space) to conformal field theory on a single S^{D-1} ((D-1)-sphere), in which bulk de Sitter correlators with points on the boundary are related to CFT correlators on the sphere, and points on I^+ (the future boundary of dS_D) are mapped to the antipodal points on S^{D-1} relative to those on I^-. For the case of dS_3, which is analyzed in some detail, the central charge of the CFT_2 is computed in an analysis of the asymptotic symmetry group at I^\pm. This dS/CFT proposal is supported by the computation of correlation functions of a massive scalar field. In general the dual CFT may be non-unitary and (if for example there are sufficently massive stable scalars) contain complex conformal weights. We also consider the physical region O^- of dS_3 corresponding to the causal past of a timelike observer, whose holographic dual lives on a plane rather than a sphere. O^- can be foliated by asymptotically flat spacelike slices. Time evolution along these slices is generated by L_0+\bar L_0, and is dual to scale transformations in the boundary CFT_2. |
hep-th/0503045 | Stefan Hollands | S. Hollands, A. Ishibashi, and D. Marolf | Comparison between various notions of conserved charges in
asymptotically AdS-spacetimes | 64p, Latex, no figures, v2: references added, typos corrected, v3:
some equations corrected | Class.Quant.Grav. 22 (2005) 2881-2920 | 10.1088/0264-9381/22/14/004 | null | hep-th gr-qc | null | We derive hamiltionian generators of asymptotic symmetries for general
relativity with asymptotic AdS boundary conditions using the ``covariant phase
space'' method of Wald et al. We then compare our results with other
definitions that have been proposed in the literature. We find that our
definition agrees with that proposed by Ashtekar et al, with the spinor
definition, and with the background dependent definition of Henneaux and
Teitelboim. Our definition disagrees with the one obtained from the
``counterterm subtraction method,'' but the difference is found to consist only
of a ``constant offset'' that is determined entirely in terms of the boundary
metric. We finally discuss and justify our boundary conditions by a linear
perturbation analysis, and we comment on generalizations of our boundary
conditions, as well as inclusion of matter fields.
| [
{
"created": "Fri, 4 Mar 2005 18:51:03 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Mar 2005 19:18:50 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Nov 2005 12:12:49 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Hollands",
"S.",
""
],
[
"Ishibashi",
"A.",
""
],
[
"Marolf",
"D.",
""
]
] | We derive hamiltionian generators of asymptotic symmetries for general relativity with asymptotic AdS boundary conditions using the ``covariant phase space'' method of Wald et al. We then compare our results with other definitions that have been proposed in the literature. We find that our definition agrees with that proposed by Ashtekar et al, with the spinor definition, and with the background dependent definition of Henneaux and Teitelboim. Our definition disagrees with the one obtained from the ``counterterm subtraction method,'' but the difference is found to consist only of a ``constant offset'' that is determined entirely in terms of the boundary metric. We finally discuss and justify our boundary conditions by a linear perturbation analysis, and we comment on generalizations of our boundary conditions, as well as inclusion of matter fields. |
hep-th/0004174 | T. Ioannidou | Theodora Ioannidou | SU(N) Skyrmions from Instantons | 10 pages, to appear in Nonlinearity | Nonlinearity 13 (2000) 1217-1225 | 10.1088/0951-7715/13/4/312 | UKC00/10 | hep-th | null | Atiyah and Manton have outlined a scheme to obtain approximations to the
SU(2) skyrmions from instantons in $\R^4$. In this paper we apply this scheme
to construct, in an explicit form, approximations to static spherically
symmetric SU(N) skyrmions with various baryon numbers. In particular we show
how to obtain the skyrmions from instantons using harmonic maps into complex
projective spaces.
| [
{
"created": "Tue, 25 Apr 2000 10:22:38 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ioannidou",
"Theodora",
""
]
] | Atiyah and Manton have outlined a scheme to obtain approximations to the SU(2) skyrmions from instantons in $\R^4$. In this paper we apply this scheme to construct, in an explicit form, approximations to static spherically symmetric SU(N) skyrmions with various baryon numbers. In particular we show how to obtain the skyrmions from instantons using harmonic maps into complex projective spaces. |
hep-th/9604061 | Sergei Odintsov | P.M.Lavrov, S.D.Odintsov and A.A.Reshetnyak | Effective Action of Composite Fields for General Gauge Theories in
BLT-Covariant Formalism | Typos corrected. Latex file | J.Math.Phys.38:3466-3478,1997 | 10.1063/1.531862 | Tomsk Pedagogical Univ. preprint, March 1996 | hep-th | null | The gauge dependence of the effective action of composite fields for general
gauge theories in the framework of the quantization method by Batalin, Lavrov
and Tyutin is studied. The corresponding Ward identities are obtained. The
variation of composite fields effective action is found in terms of new set of
operators depending on composite field. The theorem of the on-shell gauge
fixing independence for the effective action of composite fields in such
formalism is proved. brief discussion of gravitational-vector induced
interaction for Maxwell theory with composite fields is given.
| [
{
"created": "Thu, 11 Apr 1996 10:14:33 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jul 1996 07:17:30 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Lavrov",
"P. M.",
""
],
[
"Odintsov",
"S. D.",
""
],
[
"Reshetnyak",
"A. A.",
""
]
] | The gauge dependence of the effective action of composite fields for general gauge theories in the framework of the quantization method by Batalin, Lavrov and Tyutin is studied. The corresponding Ward identities are obtained. The variation of composite fields effective action is found in terms of new set of operators depending on composite field. The theorem of the on-shell gauge fixing independence for the effective action of composite fields in such formalism is proved. brief discussion of gravitational-vector induced interaction for Maxwell theory with composite fields is given. |
2105.09792 | Andrea Puhm | Sabrina Pasterski, Andrea Puhm, Emilio Trevisani | Revisiting the Conformally Soft Sector with Celestial Diamonds | 34 pages, 2 figures | null | 10.1007/JHEP11(2021)143 | CPHT-RR037.052021 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Celestial diamonds encode the structure of global conformal multiplets in 2D
celestial CFT and offer a natural language for describing the conformally soft
sector. The operators appearing at their left and right corners give rise to
conformally soft factorization theorems, the bottom corners correspond to
conserved charges, and the top corners to conformal dressings. We show that
conformally soft charges can be expressed in terms of light ray integrals that
select modes of the appropriate conformal weights. They reside at the bottom
corners of memory diamonds, and ascend to generalized currents. We then
identify the top corners of the associated Goldstone diamonds with conformal
Faddeev-Kulish dressings and compute the sub-leading conformally soft dressings
in gauge theory and gravity which are important for finding nontrivial central
extensions. Finally, we combine these ingredients to speculate on 2D effective
descriptions for the conformally soft sector of celestial CFT.
| [
{
"created": "Thu, 20 May 2021 14:44:53 GMT",
"version": "v1"
}
] | 2021-12-08 | [
[
"Pasterski",
"Sabrina",
""
],
[
"Puhm",
"Andrea",
""
],
[
"Trevisani",
"Emilio",
""
]
] | Celestial diamonds encode the structure of global conformal multiplets in 2D celestial CFT and offer a natural language for describing the conformally soft sector. The operators appearing at their left and right corners give rise to conformally soft factorization theorems, the bottom corners correspond to conserved charges, and the top corners to conformal dressings. We show that conformally soft charges can be expressed in terms of light ray integrals that select modes of the appropriate conformal weights. They reside at the bottom corners of memory diamonds, and ascend to generalized currents. We then identify the top corners of the associated Goldstone diamonds with conformal Faddeev-Kulish dressings and compute the sub-leading conformally soft dressings in gauge theory and gravity which are important for finding nontrivial central extensions. Finally, we combine these ingredients to speculate on 2D effective descriptions for the conformally soft sector of celestial CFT. |
1901.04492 | Marc Schneider | Stefan Hofmann, Marc Schneider and Maximilian Urban | A Quantum Complete Prelude to Inflation | 8 pages | Phys. Rev. D 99, 065012 (2019) | 10.1103/PhysRevD.99.065012 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that the inflationary paradigm admits quantum complete extensions
of space-time. The extended inflationary spacetimes still have geodesic
borders, but quantum fields are prohibited from migrating across these borders
by their evolution semigroups. The geodesic singularities lurking across the
borders lack a physical description because the evolution semigroups give
vanishing probabilistic support to quantum fields for populating regions
bordering on these singularities. As an example, anisotropic Bianchi type-I
cosmologies are shown to be quantum complete preludes to inflation. They admit
Kasner-like geometries close to their geodesic borders. Quantum fields enjoy a
contractive evolution in these asymptotic regions and ultimately become free.
As a consequence, quantum probes cannot migrate across the geodesic border of
Bianchi type-I cosmologies.
| [
{
"created": "Mon, 14 Jan 2019 19:00:01 GMT",
"version": "v1"
}
] | 2019-03-27 | [
[
"Hofmann",
"Stefan",
""
],
[
"Schneider",
"Marc",
""
],
[
"Urban",
"Maximilian",
""
]
] | It is shown that the inflationary paradigm admits quantum complete extensions of space-time. The extended inflationary spacetimes still have geodesic borders, but quantum fields are prohibited from migrating across these borders by their evolution semigroups. The geodesic singularities lurking across the borders lack a physical description because the evolution semigroups give vanishing probabilistic support to quantum fields for populating regions bordering on these singularities. As an example, anisotropic Bianchi type-I cosmologies are shown to be quantum complete preludes to inflation. They admit Kasner-like geometries close to their geodesic borders. Quantum fields enjoy a contractive evolution in these asymptotic regions and ultimately become free. As a consequence, quantum probes cannot migrate across the geodesic border of Bianchi type-I cosmologies. |
hep-th/0605218 | Janos Polonyi | Janos Polonyi | Quantum-classical crossover in electrodynamics | new references added, few sign errors fixed, to appear in Physical
Review D | Phys.Rev.D74:065014,2006 | 10.1103/PhysRevD.74.065014 | null | hep-th | null | A classical field theory is proposed for the electric current and the
electromagnetic field interpolating between microscopic and macroscopic
domains. It represents a generalization of the density functional for the
dynamics of the current and the electromagnetic field in the quantum side of
the crossover and reproduces standard classical electrodynamics on the other
side. The effective action derived in the closed time path formalism and the
equations of motion follow from the variational principle. The polarization of
the Dirac-see can be taken into account in the quadratic approximation of the
action by the introduction of the deplacement field strengths as in
conventional classical electrodynamics. Decoherence appears naturally as a
simple one-loop effect in this formalism. It is argued that the radiation time
arrow is generated from the quantum boundary conditions in time by decoherence
at the quantum-classical crossover and the Abraham-Lorentz force arises from
the accelerating charge or from other charges in the macroscopic or the
microscopic side, respectively. The functional form of quantum renormalization
group, the generalization of the renormalization group method for the density
matrix, is proposed to follow the scale dependence through the
quantum-classical crossover in a systematical manner.
| [
{
"created": "Mon, 22 May 2006 19:27:58 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Aug 2006 21:19:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Polonyi",
"Janos",
""
]
] | A classical field theory is proposed for the electric current and the electromagnetic field interpolating between microscopic and macroscopic domains. It represents a generalization of the density functional for the dynamics of the current and the electromagnetic field in the quantum side of the crossover and reproduces standard classical electrodynamics on the other side. The effective action derived in the closed time path formalism and the equations of motion follow from the variational principle. The polarization of the Dirac-see can be taken into account in the quadratic approximation of the action by the introduction of the deplacement field strengths as in conventional classical electrodynamics. Decoherence appears naturally as a simple one-loop effect in this formalism. It is argued that the radiation time arrow is generated from the quantum boundary conditions in time by decoherence at the quantum-classical crossover and the Abraham-Lorentz force arises from the accelerating charge or from other charges in the macroscopic or the microscopic side, respectively. The functional form of quantum renormalization group, the generalization of the renormalization group method for the density matrix, is proposed to follow the scale dependence through the quantum-classical crossover in a systematical manner. |
1610.05371 | Ying-Hsuan Lin | Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, Xi Yin | (2,2) Superconformal Bootstrap in Two Dimensions | 56 pages, 14 figures | null | 10.1007/JHEP05(2017)112 | CALT-TH 2016-030, MIT-CTP/4824, PUPT-2511 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a simple relation between two-dimensional BPS N=2 superconformal
blocks and bosonic Virasoro conformal blocks, which allows us to analyze the
crossing equations for BPS 4-point functions in unitary (2,2) superconformal
theories numerically with semidefinite programming. We constrain gaps in the
non-BPS spectrum through the operator product expansion of BPS operators, in
ways that depend on the moduli of exactly marginal deformations through chiral
ring coefficients. In some cases, our bounds on the spectral gaps are observed
to be saturated by free theories, by N=2 Liouville theory, and by certain
Landau-Ginzburg models.
| [
{
"created": "Mon, 17 Oct 2016 22:38:55 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Lin",
"Ying-Hsuan",
""
],
[
"Shao",
"Shu-Heng",
""
],
[
"Wang",
"Yifan",
""
],
[
"Yin",
"Xi",
""
]
] | We find a simple relation between two-dimensional BPS N=2 superconformal blocks and bosonic Virasoro conformal blocks, which allows us to analyze the crossing equations for BPS 4-point functions in unitary (2,2) superconformal theories numerically with semidefinite programming. We constrain gaps in the non-BPS spectrum through the operator product expansion of BPS operators, in ways that depend on the moduli of exactly marginal deformations through chiral ring coefficients. In some cases, our bounds on the spectral gaps are observed to be saturated by free theories, by N=2 Liouville theory, and by certain Landau-Ginzburg models. |
1009.6179 | Papantonopoulos Eleftherios | Alexandros Aperis, Panagiotis Kotetes, Eleftherios Papantonopoulos,
George Siopsis, Petros Skamagoulis and Georgios Varelogiannis | Holographic Charge Density Waves | 5 pages, 2 figures; improved discussion, published version | Phys.Lett.B702:181-185,2011 | 10.1016/j.physletb.2011.06.092 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a gravity dual of a charge density wave consisting of a U(1) gauge
field and two scalar fields in the background of an AdS$_4$ Schwarzschild black
hole together with an antisymmetric field (probe limit). Interactions drive the
system to a phase transition below a critical temperature. We numerically
compute the ground states characterized by modulated solutions for the gauge
potential corresponding to a dynamically generated unidirectional charge
density wave in the conformal field theory. Signatures of the holographic
density waves are retrieved by studying the dynamical response to an external
electric field. We find that this novel holographic state shares many common
features with the standard condensed matter version of charge density wave
systems.
| [
{
"created": "Thu, 30 Sep 2010 16:12:07 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 2010 18:10:17 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Jun 2011 17:15:16 GMT",
"version": "v3"
}
] | 2011-07-26 | [
[
"Aperis",
"Alexandros",
""
],
[
"Kotetes",
"Panagiotis",
""
],
[
"Papantonopoulos",
"Eleftherios",
""
],
[
"Siopsis",
"George",
""
],
[
"Skamagoulis",
"Petros",
""
],
[
"Varelogiannis",
"Georgios",
""
]
] | We discuss a gravity dual of a charge density wave consisting of a U(1) gauge field and two scalar fields in the background of an AdS$_4$ Schwarzschild black hole together with an antisymmetric field (probe limit). Interactions drive the system to a phase transition below a critical temperature. We numerically compute the ground states characterized by modulated solutions for the gauge potential corresponding to a dynamically generated unidirectional charge density wave in the conformal field theory. Signatures of the holographic density waves are retrieved by studying the dynamical response to an external electric field. We find that this novel holographic state shares many common features with the standard condensed matter version of charge density wave systems. |
hep-th/0206002 | DaeKil Park | D. K. Park and Hungsoo Kim | Single 3-Brane Brane-World in Six Dimension | 16 pages, 1 figure, version to appear in NPB | Nucl.Phys. B650 (2003) 114-124 | 10.1016/S0550-3213(02)01062-3 | null | hep-th | null | The single 3-brane brane world at six dimension is examined when the extra
dimensions are not compact. Although the warp factor diverges at the asymptotic
region of the extra dimension, the normalizable zero mode and higher KK
spectrum exist in the gravitational fluctuation. We compute the zero mode
analytically and KK spectrum numerically. It is explicitly proven that our
solution does not obey `brane world sum rule'.
| [
{
"created": "Sat, 1 Jun 2002 08:37:40 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Nov 2002 01:43:19 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Park",
"D. K.",
""
],
[
"Kim",
"Hungsoo",
""
]
] | The single 3-brane brane world at six dimension is examined when the extra dimensions are not compact. Although the warp factor diverges at the asymptotic region of the extra dimension, the normalizable zero mode and higher KK spectrum exist in the gravitational fluctuation. We compute the zero mode analytically and KK spectrum numerically. It is explicitly proven that our solution does not obey `brane world sum rule'. |
0810.3238 | Kalmykov Mikhail | M. Yu. Kalmykov (Hamburg U., Inst. Theor. Phys. II & Dubna, JINR),
Bernd A. Kniehl (Hamburg U., Inst. Theor. Phys. II), B.F.L. Ward (Baylor U.),
S.A. Yost (Citadel Military Coll.) | Hypergeometric functions, their epsilon expansions and Feynman diagrams | 15 pages, Latex, 1-eps figure; v2: few references added; v3: style
corrections; v4: typo in Eq.(2) is corrected; based on a talk given by
M.Kalmykov at 15th International Seminar on High-Energy Physics:
Quarks-2008,Sergiev Posad, Russia, 23-29 May, 2008. The FORM code is
available via the WWW at http://theor.jinr.ru/~kalmykov/hypergeom/hyper.html | null | null | BU-HEPP-08-19 | hep-th hep-ph math-ph math.CA math.MP | http://creativecommons.org/licenses/by/3.0/ | We review the hypergeometric function approach to Feynman diagrams. Special
consideration is given to the construction of the Laurent expansion. As an
illustration, we describe a collection of physically important one-loop vertex
diagrams for which this approach is useful.
| [
{
"created": "Mon, 20 Oct 2008 14:15:23 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Oct 2008 23:02:17 GMT",
"version": "v2"
},
{
"created": "Fri, 31 Oct 2008 13:28:17 GMT",
"version": "v3"
},
{
"created": "Fri, 31 Oct 2008 22:24:06 GMT",
"version": "v4"
}
] | 2008-11-01 | [
[
"Kalmykov",
"M. Yu.",
"",
"Hamburg U., Inst. Theor. Phys. II & Dubna, JINR"
],
[
"Kniehl",
"Bernd A.",
"",
"Hamburg U., Inst. Theor. Phys. II"
],
[
"Ward",
"B. F. L.",
"",
"Baylor U."
],
[
"Yost",
"S. A.",
"",
"Citadel Military Coll."
]... | We review the hypergeometric function approach to Feynman diagrams. Special consideration is given to the construction of the Laurent expansion. As an illustration, we describe a collection of physically important one-loop vertex diagrams for which this approach is useful. |
hep-th/0002230 | Skenderis Kostas | Sebastian de Haro, Kostas Skenderis, Sergey N. Solodukhin | Holographic Reconstruction of Spacetime and Renormalization in the
AdS/CFT Correspondence | 27 pages,v2: typos corrected, two references added, to appear in CMP | Commun.Math.Phys. 217 (2001) 595-622 | 10.1007/s002200100381 | SPIN-2000/05, ITP-UU-00/03, PUTP-1921 | hep-th gr-qc math.DG | null | We develop a systematic method for renormalizing the AdS/CFT prescription for
computing correlation functions. This involves regularizing the bulk on-shell
supergravity action in a covariant way, computing all divergences, adding
counterterms to cancel them and then removing the regulator. We explicitly work
out the case of pure gravity up to six dimensions and of gravity coupled to
scalars. The method can also be viewed as providing a holographic
reconstruction of the bulk spacetime metric and of bulk fields on this
spacetime, out of conformal field theory data. Knowing which sources are turned
on is sufficient in order to obtain an asymptotic expansion of the bulk metric
and of bulk fields near the boundary to high enough order so that all infrared
divergences of the on-shell action are obtained. To continue the holographic
reconstruction of the bulk fields one needs new CFT data: the expectation value
of the dual operator. In particular, in order to obtain the bulk metric one
needs to know the expectation value of stress-energy tensor of the boundary
theory. We provide completely explicit formulae for the holographic
stress-energy tensors up to six dimensions. We show that both the gravitational
and matter conformal anomalies of the boundary theory are correctly reproduced.
We also obtain the conformal transformation properties of the boundary
stress-energy tensors.
| [
{
"created": "Mon, 28 Feb 2000 20:37:57 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Nov 2000 17:08:38 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Nov 2000 16:13:22 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"de Haro",
"Sebastian",
""
],
[
"Skenderis",
"Kostas",
""
],
[
"Solodukhin",
"Sergey N.",
""
]
] | We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding counterterms to cancel them and then removing the regulator. We explicitly work out the case of pure gravity up to six dimensions and of gravity coupled to scalars. The method can also be viewed as providing a holographic reconstruction of the bulk spacetime metric and of bulk fields on this spacetime, out of conformal field theory data. Knowing which sources are turned on is sufficient in order to obtain an asymptotic expansion of the bulk metric and of bulk fields near the boundary to high enough order so that all infrared divergences of the on-shell action are obtained. To continue the holographic reconstruction of the bulk fields one needs new CFT data: the expectation value of the dual operator. In particular, in order to obtain the bulk metric one needs to know the expectation value of stress-energy tensor of the boundary theory. We provide completely explicit formulae for the holographic stress-energy tensors up to six dimensions. We show that both the gravitational and matter conformal anomalies of the boundary theory are correctly reproduced. We also obtain the conformal transformation properties of the boundary stress-energy tensors. |
1003.3951 | Rajan Murgan | Rajan Murgan | NLIE and finite size effects of the spin-1/2 XXZ and sine-Gordon models
with two boundaries revisited | 30 pages; v2: reference added | JHEP 1005:027,2010 | 10.1007/s13130-010-0528-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the T-Q equation of an open integrable spin-1/2 XXZ quantum
spin chain with nondiagonal boundary terms, we derive a nonlinear integral
equation (NLIE) of the sine-Gordon model on a finite interval. We compute the
boundary energy and the Casimir energy for the sine-Gordon model with both left
and right boundaries. A relation between the boundary parameters of the
continuum model and the lattice model is given. We also present numerical
results for the effective central charge of an open spin-1/2 XXZ quantum spin
chain which find agreement with our analytical result for the central charge of
the sine-Gordon model in the ultraviolet (UV) limit.
| [
{
"created": "Sat, 20 Mar 2010 21:36:40 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Apr 2010 16:59:12 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Murgan",
"Rajan",
""
]
] | Starting from the T-Q equation of an open integrable spin-1/2 XXZ quantum spin chain with nondiagonal boundary terms, we derive a nonlinear integral equation (NLIE) of the sine-Gordon model on a finite interval. We compute the boundary energy and the Casimir energy for the sine-Gordon model with both left and right boundaries. A relation between the boundary parameters of the continuum model and the lattice model is given. We also present numerical results for the effective central charge of an open spin-1/2 XXZ quantum spin chain which find agreement with our analytical result for the central charge of the sine-Gordon model in the ultraviolet (UV) limit. |
2310.07708 | Alvaro Herraez | Alberto Castellano, Alvaro Herr\'aez, Luis E. Ib\'a\~nez | On the Species Scale, Modular Invariance and the Gravitational EFT
expansion | 35 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The role of the species scale as the Quantum Gravity (QG) cut-off has been
recently emphasised in the context of the Swampland Program. Along these lines,
we continue the quest for a global definition of the species scale within the
moduli spaces of QG by exploiting duality symmetries, the known asymptotic
behaviours imposed by the presence of infinite towers of light states, as well
as the known behaviour of higher curvature corrections to the Einstein-Hilbert
action in certain String Theory set-ups. In those cases, we obtain a consistent
result for the identification of the (global) species scale as the Quantum
Gravity cut-off, but also present some puzzles related to the suppression of
higher-dimensional corrections and certain minor ambiguities that may arise in
the deep interior of moduli space.
| [
{
"created": "Wed, 11 Oct 2023 17:57:16 GMT",
"version": "v1"
}
] | 2023-10-12 | [
[
"Castellano",
"Alberto",
""
],
[
"Herráez",
"Alvaro",
""
],
[
"Ibáñez",
"Luis E.",
""
]
] | The role of the species scale as the Quantum Gravity (QG) cut-off has been recently emphasised in the context of the Swampland Program. Along these lines, we continue the quest for a global definition of the species scale within the moduli spaces of QG by exploiting duality symmetries, the known asymptotic behaviours imposed by the presence of infinite towers of light states, as well as the known behaviour of higher curvature corrections to the Einstein-Hilbert action in certain String Theory set-ups. In those cases, we obtain a consistent result for the identification of the (global) species scale as the Quantum Gravity cut-off, but also present some puzzles related to the suppression of higher-dimensional corrections and certain minor ambiguities that may arise in the deep interior of moduli space. |
1501.05518 | Emil Nissimov | Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva, Mahary Vasihoun | A New Venue of Spontaneous Supersymmetry Breaking in Supergravity | 11 pages, to appear in the proceedings of "8th Meeting in Modern
Mathematical Physics", B. Dragovic and Z. Rakic (eds.), Belgrade Inst. Phys.
Press (2015) | "Eight Mathematical Physics Meeting'', pp.105-115, B. Dragovic and
I. Salom (eds.), Belgrade Inst. Phys. Press (2015) | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a qualitatively new mechanism for dynamical spontaneous breakdown
of supersymmetry in supergravity. Specifically, we construct a modified
formulation of standard minimal N=1 supergravity as well as of anti-de Sitter
supergravity in terms of a non-Riemannian spacetime volume-form (generally
covariant integration measure density). The new supergravity formalism
naturally triggers the appearance of a dynamically generated cosmological
constant as an arbitrary integration constant which signifies spontaneous
(dynamical) breaking of supersymmetry. Applying the new formalism to anti-de
Sitter supergravity allows us to appropriately choose the above mentioned
arbitrary integration constant so as to obtain simultaneously a very small
effective observable cosmological constant as well as a large physical
gravitino mass as required by modern cosmological scenarios for slowly
expanding universe of the present epoch.
| [
{
"created": "Thu, 22 Jan 2015 14:46:41 GMT",
"version": "v1"
}
] | 2015-07-23 | [
[
"Guendelman",
"Eduardo",
""
],
[
"Nissimov",
"Emil",
""
],
[
"Pacheva",
"Svetlana",
""
],
[
"Vasihoun",
"Mahary",
""
]
] | We present a qualitatively new mechanism for dynamical spontaneous breakdown of supersymmetry in supergravity. Specifically, we construct a modified formulation of standard minimal N=1 supergravity as well as of anti-de Sitter supergravity in terms of a non-Riemannian spacetime volume-form (generally covariant integration measure density). The new supergravity formalism naturally triggers the appearance of a dynamically generated cosmological constant as an arbitrary integration constant which signifies spontaneous (dynamical) breaking of supersymmetry. Applying the new formalism to anti-de Sitter supergravity allows us to appropriately choose the above mentioned arbitrary integration constant so as to obtain simultaneously a very small effective observable cosmological constant as well as a large physical gravitino mass as required by modern cosmological scenarios for slowly expanding universe of the present epoch. |
hep-th/0703232 | Ulrike Neemann | Jutta Kunz, Ulrike Neemann, Yasha Shnir | Gravitating Monopole-Antimonopole Systems at Large Scalar Coupling | 29 pages, 13 figures | Phys.Rev.D75:125008,2007 | 10.1103/PhysRevD.75.125008 | null | hep-th | null | We discuss static axially symmetric solutions of SU(2)
Einstein-Yang-Mills-Higgs theory for large scalar coupling. These regular
asymptotically flat solutions represent monopole-antimonopole chain and vortex
ring solutions, as well as new configurations, present only for larger values
of the scalar coupling. When gravity is coupled to the Yang-Mills-Higgs system,
branches of gravitating solutions emerge from the flat-space solutions, and
extend up to critical values of the gravitational coupling constant. For small
scalar coupling only two branches of gravitating solutions exist, where the
second branch connects to a generalized Bartnik-McKinnon solution. For large
scalar coupling, however, a plethora of gravitating branches can be present and
indicate the emergence of new flat-space branches.
| [
{
"created": "Mon, 26 Mar 2007 14:53:40 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kunz",
"Jutta",
""
],
[
"Neemann",
"Ulrike",
""
],
[
"Shnir",
"Yasha",
""
]
] | We discuss static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory for large scalar coupling. These regular asymptotically flat solutions represent monopole-antimonopole chain and vortex ring solutions, as well as new configurations, present only for larger values of the scalar coupling. When gravity is coupled to the Yang-Mills-Higgs system, branches of gravitating solutions emerge from the flat-space solutions, and extend up to critical values of the gravitational coupling constant. For small scalar coupling only two branches of gravitating solutions exist, where the second branch connects to a generalized Bartnik-McKinnon solution. For large scalar coupling, however, a plethora of gravitating branches can be present and indicate the emergence of new flat-space branches. |
2309.08135 | Xiaobao Liu | Xiaobao Liu, Zehua Tian, Jiliang Jing | Entanglement dynamics in $\kappa$-deformed spacetime | 41 pages, 16 figures | null | null | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We treat two identical and mutually independent two-level atoms that are
coupled to quantum field as an open quantum system. The master equation that
governs their evolution is derived by tracing over the degree of freedom of
field. With this, we comparatively study the entanglement dynamics of the two
atoms moving with different trajectories in $\kappa$-deformed spacetime and
Minkowski spacetime. It is found that when there is no the environment-induced
interatomic interaction, the entanglement dynamics of two static atoms in
$\kappa$-deformed spacetime are reduced to the case in Minkowski spacetime in
the case that the spacetime deformation parameter $\kappa$ is huge enough as
theoretically predicted. However, if the atoms undergo relativistic motion, no
matter inertial or non-inertial, their entanglement dynamics in
$\kappa$-deformed spacetime behave quite differently with that in Minkowski
spacetime even $\kappa$ is huge. We investigate various entanglement behaviors,
such as decay and generation, and discuss how different relativistic motion,
such as uniform motion in a straight line and circular motion, amplifies the
difference of entanglement dynamics between the $\kappa$-deformed spacetime
case and the Minkowski spacetime case. Besides, when the environment-induced
interatomic interaction is considered, we find that it may also enhance the
difference of entanglement dynamics between in these two spacetimes. So, in
principle, one can tell whether he is in $\kappa$-deformed spacetime or in
Minkowski spacetime by checking the entanglement behaviors between two atoms in
certain circumstances.
| [
{
"created": "Fri, 15 Sep 2023 04:06:53 GMT",
"version": "v1"
}
] | 2023-09-18 | [
[
"Liu",
"Xiaobao",
""
],
[
"Tian",
"Zehua",
""
],
[
"Jing",
"Jiliang",
""
]
] | We treat two identical and mutually independent two-level atoms that are coupled to quantum field as an open quantum system. The master equation that governs their evolution is derived by tracing over the degree of freedom of field. With this, we comparatively study the entanglement dynamics of the two atoms moving with different trajectories in $\kappa$-deformed spacetime and Minkowski spacetime. It is found that when there is no the environment-induced interatomic interaction, the entanglement dynamics of two static atoms in $\kappa$-deformed spacetime are reduced to the case in Minkowski spacetime in the case that the spacetime deformation parameter $\kappa$ is huge enough as theoretically predicted. However, if the atoms undergo relativistic motion, no matter inertial or non-inertial, their entanglement dynamics in $\kappa$-deformed spacetime behave quite differently with that in Minkowski spacetime even $\kappa$ is huge. We investigate various entanglement behaviors, such as decay and generation, and discuss how different relativistic motion, such as uniform motion in a straight line and circular motion, amplifies the difference of entanglement dynamics between the $\kappa$-deformed spacetime case and the Minkowski spacetime case. Besides, when the environment-induced interatomic interaction is considered, we find that it may also enhance the difference of entanglement dynamics between in these two spacetimes. So, in principle, one can tell whether he is in $\kappa$-deformed spacetime or in Minkowski spacetime by checking the entanglement behaviors between two atoms in certain circumstances. |
hep-th/9601063 | Vasily Tarasov | Vasily E. Tarasov | Analog of Lie Algebra and Lie Group for Quantum Non-Hamiltonian Systems | 7 pages, LaTeX; Proceedings of X Workshop on High Energy Physics and
Quantum Field Theory (September 1995, Zvenigorod, Russia) | null | null | null | hep-th funct-an math.FA math.QA q-alg quant-ph | null | Quantum mechanics of Hamiltonian (non-dissipative) systems uses Lie algebra
and analytic group (Lie group). In order to describe non-Hamiltonian
(dissipative) systems in quantum theory we need to use non-Lie algebra and
analytic quasigroup (loop).
The author derives that analog of Lie algebra for quantum non-Hamiltonian
systems is commutant Lie algebra and analog of Lie group for these systems is
analytic commutant associative loop (Valya loop). A commutant Lie algebra is an
algebra such that commutant (a subspace which is generated by all commutators)
is a Lie subalgebra. Valya loop is a non-associative loop such that the
commutant of this loop is associative subloop (group). We prove that a tangent
algebra of Valya loop is a commutant Lie algebra. It is shown that generalized
Heisenberg-Weyl algebra, suggested by the author to describe quantum
non-Hamiltonian (dissipative) systems, is a commutant Lie algebra. As the other
example of commutant Lie algebra, it is considered a generalized Poisson
algebra for differential 1-forms.
Note that non-Hamiltonian (dissipative) quantum theory has a broad range of
application for non-critical strings in "coupling constant" phase space and
bosonic string in non-Riemannian (for example, affine-metric) curved space
which are non-Hamiltonian (dissipative) systems.
| [
{
"created": "Fri, 12 Jan 1996 17:29:46 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Tarasov",
"Vasily E.",
""
]
] | Quantum mechanics of Hamiltonian (non-dissipative) systems uses Lie algebra and analytic group (Lie group). In order to describe non-Hamiltonian (dissipative) systems in quantum theory we need to use non-Lie algebra and analytic quasigroup (loop). The author derives that analog of Lie algebra for quantum non-Hamiltonian systems is commutant Lie algebra and analog of Lie group for these systems is analytic commutant associative loop (Valya loop). A commutant Lie algebra is an algebra such that commutant (a subspace which is generated by all commutators) is a Lie subalgebra. Valya loop is a non-associative loop such that the commutant of this loop is associative subloop (group). We prove that a tangent algebra of Valya loop is a commutant Lie algebra. It is shown that generalized Heisenberg-Weyl algebra, suggested by the author to describe quantum non-Hamiltonian (dissipative) systems, is a commutant Lie algebra. As the other example of commutant Lie algebra, it is considered a generalized Poisson algebra for differential 1-forms. Note that non-Hamiltonian (dissipative) quantum theory has a broad range of application for non-critical strings in "coupling constant" phase space and bosonic string in non-Riemannian (for example, affine-metric) curved space which are non-Hamiltonian (dissipative) systems. |
hep-th/0207029 | Sugumi Kanno | Sugumi Kanno, Jiro Soda | Radion and Holographic Brane Gravity | Revtex4, 18 pages, revised version, conclusions unchanged, references
added | Phys.Rev. D66 (2002) 083506 | 10.1103/PhysRevD.66.083506 | KUCP0213 | hep-th gr-qc | null | The low energy effective theory for the Randall-Sundrum two brane system is
investigated with an emphasis on the role of the non-linear radion in the brane
world. The equations of motion in the bulk is solved using a low energy
expansion method. This allows us, through the junction conditions, to deduce
the effective equations of motion for the gravity on the brane. It is shown
that the gravity on the brane world is described by a quasi-scalar-tensor
theory with a specific coupling function omega(Psi) = 3 Psi / 2(1-Psi) on the
positive tension brane and omega(Phi) = -3 Phi / 2(1+Phi) on the negative
tension brane, where Psi and Phi are non-linear realizations of the radion on
the positive and negative tension branes, respectively. In contrast to the
usual scalar-tensor gravity, the quasi-scalar-tensor gravity couples with two
kinds of matter, namely, the matters on both positive and negative tension
branes, with different effective gravitational coupling constants. In
particular, the radion disguised as the scalar fields Psi and Phi couples with
the sum of the traces of the energy momentum tensor on both branes. In the
course of the derivation, it has been revealed that the radion plays an
essential role to convert the non-local Einstein gravity with the generalized
dark radiation to the local quasi-scalar-tensor gravity. For completeness, we
also derive the effective action for our theory by substituting the bulk
solution into the original action. It is also shown that the
quasi-scalar-tensor gravity works as holograms at the low energy in the sense
that the bulk geometry can be reconstructed from the solution of the
quasi-scalar-tensor gravity.
| [
{
"created": "Wed, 3 Jul 2002 08:44:41 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 2002 06:00:32 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kanno",
"Sugumi",
""
],
[
"Soda",
"Jiro",
""
]
] | The low energy effective theory for the Randall-Sundrum two brane system is investigated with an emphasis on the role of the non-linear radion in the brane world. The equations of motion in the bulk is solved using a low energy expansion method. This allows us, through the junction conditions, to deduce the effective equations of motion for the gravity on the brane. It is shown that the gravity on the brane world is described by a quasi-scalar-tensor theory with a specific coupling function omega(Psi) = 3 Psi / 2(1-Psi) on the positive tension brane and omega(Phi) = -3 Phi / 2(1+Phi) on the negative tension brane, where Psi and Phi are non-linear realizations of the radion on the positive and negative tension branes, respectively. In contrast to the usual scalar-tensor gravity, the quasi-scalar-tensor gravity couples with two kinds of matter, namely, the matters on both positive and negative tension branes, with different effective gravitational coupling constants. In particular, the radion disguised as the scalar fields Psi and Phi couples with the sum of the traces of the energy momentum tensor on both branes. In the course of the derivation, it has been revealed that the radion plays an essential role to convert the non-local Einstein gravity with the generalized dark radiation to the local quasi-scalar-tensor gravity. For completeness, we also derive the effective action for our theory by substituting the bulk solution into the original action. It is also shown that the quasi-scalar-tensor gravity works as holograms at the low energy in the sense that the bulk geometry can be reconstructed from the solution of the quasi-scalar-tensor gravity. |
1305.1048 | Matteo Beccaria | Matteo Beccaria, Constantin Candu, Matthias R. Gaberdiel, Michael
Groher | N=1 extension of minimal model holography | 28 pages | null | 10.1007/JHEP07(2013)174 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The CFT dual of the higher spin theory with minimal N = 1 spectrum is
determined. Unlike previous examples of minimal model holography, there is no
free parameter beyond the central charge, and the CFT can be described in terms
of a non-diagonal modular invariant of the bosonic theory at the special value
of the 't Hooft parameter lambda=1/2. As evidence in favour of the duality we
show that the symmetry algebras as well as the partition functions agree
between the two descriptions.
| [
{
"created": "Sun, 5 May 2013 20:00:45 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Beccaria",
"Matteo",
""
],
[
"Candu",
"Constantin",
""
],
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Groher",
"Michael",
""
]
] | The CFT dual of the higher spin theory with minimal N = 1 spectrum is determined. Unlike previous examples of minimal model holography, there is no free parameter beyond the central charge, and the CFT can be described in terms of a non-diagonal modular invariant of the bosonic theory at the special value of the 't Hooft parameter lambda=1/2. As evidence in favour of the duality we show that the symmetry algebras as well as the partition functions agree between the two descriptions. |
2012.04003 | Raul Jimenez | Cesar Gomez, Raul Jimenez | The Quantum Origin of Quasi de Sitter: a Model Independent Quantum
Cosmological Tilt | null | null | 10.1088/1475-7516/2023/01/036 | null | hep-th astro-ph.CO gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | The most robust prediction of inflationary cosmology is the existence of a
red tilt for the spectrum of curvature fluctuations that is experimentally of
order $0.04$. The tilt is derived solving the exact equation for quantum
fluctuations in a quasi de Sitter background defined by a equation of state
$\epsilon \equiv \frac{(p+\rho)}{\rho}$ with $\epsilon$ small but non
vanishing. The experimental data selects among the different quasi de Sitter
inflaton potentials. The origin of the lack of scale invariance associated with
the tilt is however classical in essence and parametrized by the slow roll of
the inflaton potential. Here we present a purely quantum mechanical and model
independent derivation of the tilt. This derivation is based on two basic
observations: first, the correlator for gauge invariant variables is related to
the {\it quantum Fisher function} measuring the quantum dependence of the
family of pure de Sitter vacua on the energy scale parameter; second, this
quantum Fisher function has a non vanishing scale dependent red tilt that, at
the energy scales of physical interest, fits the effective quasi de Sitter
prediction as well as the experimental value. This is a result that is model
independent and only based on the quantum features of the family of de Sitter
vacua.
| [
{
"created": "Mon, 7 Dec 2020 19:16:25 GMT",
"version": "v1"
}
] | 2023-02-01 | [
[
"Gomez",
"Cesar",
""
],
[
"Jimenez",
"Raul",
""
]
] | The most robust prediction of inflationary cosmology is the existence of a red tilt for the spectrum of curvature fluctuations that is experimentally of order $0.04$. The tilt is derived solving the exact equation for quantum fluctuations in a quasi de Sitter background defined by a equation of state $\epsilon \equiv \frac{(p+\rho)}{\rho}$ with $\epsilon$ small but non vanishing. The experimental data selects among the different quasi de Sitter inflaton potentials. The origin of the lack of scale invariance associated with the tilt is however classical in essence and parametrized by the slow roll of the inflaton potential. Here we present a purely quantum mechanical and model independent derivation of the tilt. This derivation is based on two basic observations: first, the correlator for gauge invariant variables is related to the {\it quantum Fisher function} measuring the quantum dependence of the family of pure de Sitter vacua on the energy scale parameter; second, this quantum Fisher function has a non vanishing scale dependent red tilt that, at the energy scales of physical interest, fits the effective quasi de Sitter prediction as well as the experimental value. This is a result that is model independent and only based on the quantum features of the family of de Sitter vacua. |
hep-th/0701032 | Paolo Amore Dr | Paolo Amore | A new representation for non--local operators and path integrals | 9 pages ; 1 figure ; refs added ; title modified | Phys.Rev.A75:032111,2007 | 10.1103/PhysRevA.75.032111 | null | hep-th hep-lat hep-ph nucl-th physics.comp-ph quant-ph | null | We derive an alternative representation for the relativistic non--local
kinetic energy operator and we apply it to solve the relativistic Salpeter
equation using the variational sinc collocation method. Our representation is
analytical and does not depend on an expansion in terms of local operators. We
have used the relativistic harmonic oscillator problem to test our formula and
we have found that arbitrarily precise results are obtained, simply increasing
the number of grid points. More difficult problems have also been considered,
observing in all cases the convergence of the numerical results. Using these
results we have also derived a new representation for the quantum mechanical
Green's function and for the corresponding path integral. We have tested this
representation for a free particle in a box, recovering the exact result after
taking the proper limits, and we have also found that the application of the
Feynman--Kac formula to our Green's function yields the correct ground state
energy. Our path integral representation allows to treat hamiltonians
containing non--local operators and it could provide to the community a new
tool to deal with such class of problems.
| [
{
"created": "Thu, 4 Jan 2007 16:36:14 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jan 2007 18:52:28 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Jan 2007 17:52:40 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Amore",
"Paolo",
""
]
] | We derive an alternative representation for the relativistic non--local kinetic energy operator and we apply it to solve the relativistic Salpeter equation using the variational sinc collocation method. Our representation is analytical and does not depend on an expansion in terms of local operators. We have used the relativistic harmonic oscillator problem to test our formula and we have found that arbitrarily precise results are obtained, simply increasing the number of grid points. More difficult problems have also been considered, observing in all cases the convergence of the numerical results. Using these results we have also derived a new representation for the quantum mechanical Green's function and for the corresponding path integral. We have tested this representation for a free particle in a box, recovering the exact result after taking the proper limits, and we have also found that the application of the Feynman--Kac formula to our Green's function yields the correct ground state energy. Our path integral representation allows to treat hamiltonians containing non--local operators and it could provide to the community a new tool to deal with such class of problems. |
2306.09733 | Kang Zhou | Kang Zhou, Fang-Stars Wei | Note on tree NLSM amplitudes and soft theorems | 26 pages, 10 figures. arXiv admin note: text overlap with
arXiv:2212.12892 | null | null | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We use the universality of single soft behavior, together with the double
copy structure, to completely determine the tree amplitudes of non-linear sigma
model (NLSM). We first figure out the Adler's zero for $4$-point NLSM
amplitudes, by considering kinematics. Then, we assume the universality of the
Adler's zero, and use this requirement to construct general tree NLSM
amplitudes in the expanded formula, i.e., the formula of expanding NLSM
amplitudes to bi-adjoint scalar amplitudes. We also derive double soft factors
for tree NLSM amplitudes, based on the resulting expanded formula.
| [
{
"created": "Fri, 16 Jun 2023 10:02:46 GMT",
"version": "v1"
}
] | 2023-06-19 | [
[
"Zhou",
"Kang",
""
],
[
"Wei",
"Fang-Stars",
""
]
] | We use the universality of single soft behavior, together with the double copy structure, to completely determine the tree amplitudes of non-linear sigma model (NLSM). We first figure out the Adler's zero for $4$-point NLSM amplitudes, by considering kinematics. Then, we assume the universality of the Adler's zero, and use this requirement to construct general tree NLSM amplitudes in the expanded formula, i.e., the formula of expanding NLSM amplitudes to bi-adjoint scalar amplitudes. We also derive double soft factors for tree NLSM amplitudes, based on the resulting expanded formula. |
hep-th/9305105 | Jose Gaite | Jose Gaite and Ram Brustein | Batalin-Vilkoviski master equation and absence of anomalies in string
field theory | report UPR-561-TH/Salamanca FTUS-9307 | Phys.Lett.B319:110-116,1993 | 10.1016/0370-2693(93)90789-K | null | hep-th | null | We study the Batalin-Vilkovisky master equation for both open and closed
string field theory with special attention to anomalies. Open string field
theory is anomaly free once the minimal coupling to closed strings induced by
loop amplitudes is considered. In closed string field theory the full-fledged
master equation has to be solved order by order in perturbation theory. The
existence of a solution implies the absence of anomaly. We briefly discuss the
relation of the iterative process of solution to methods used in the first
quantized formalism and comment on some possible non-perturbative corrections.
| [
{
"created": "Fri, 21 May 1993 12:39:47 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gaite",
"Jose",
""
],
[
"Brustein",
"Ram",
""
]
] | We study the Batalin-Vilkovisky master equation for both open and closed string field theory with special attention to anomalies. Open string field theory is anomaly free once the minimal coupling to closed strings induced by loop amplitudes is considered. In closed string field theory the full-fledged master equation has to be solved order by order in perturbation theory. The existence of a solution implies the absence of anomaly. We briefly discuss the relation of the iterative process of solution to methods used in the first quantized formalism and comment on some possible non-perturbative corrections. |
hep-th/0302137 | Lorenzo Cornalba | L. Cornalba, M.S. Costa | On the Classical Stability of Orientifold Cosmologies | 40 pages, 13 figures. Reference and conclusion added. Published
version | Class.Quant.Grav. 20 (2003) 3969-3996 | 10.1088/0264-9381/20/18/309 | null | hep-th gr-qc | null | We analyze the classical stability of string cosmologies driven by the
dynamics of orientifold planes. These models are related to time-dependent
orbifolds, and resolve the orbifold singularities which are otherwise
problematic by introducing orientifold planes. In particular, we show that the
instability discussed by Horowitz and Polchinski for pure orbifold models is
resolved by the presence of the orientifolds. Moreover, we discuss the issue of
stability of the cosmological Cauchy horizon, and we show that it is stable to
small perturbations due to in-falling matter.
| [
{
"created": "Tue, 18 Feb 2003 20:30:37 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2003 08:44:34 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Cornalba",
"L.",
""
],
[
"Costa",
"M. S.",
""
]
] | We analyze the classical stability of string cosmologies driven by the dynamics of orientifold planes. These models are related to time-dependent orbifolds, and resolve the orbifold singularities which are otherwise problematic by introducing orientifold planes. In particular, we show that the instability discussed by Horowitz and Polchinski for pure orbifold models is resolved by the presence of the orientifolds. Moreover, we discuss the issue of stability of the cosmological Cauchy horizon, and we show that it is stable to small perturbations due to in-falling matter. |
hep-th/9806232 | Lorenza Viola | L. M. Morato and L. Viola | A relativistically covariant stochastic model for systems with a
fluctuating number of particles | 5 Pages; no figures; Plain REVTeX style. To be published in Phys.
Lett. A | Phys.Lett. A246 (1998) 214-218 | 10.1016/S0375-9601(98)00496-4 | null | hep-th | null | We construct a relativistically covariant stochastic model for systems of
non-interacting spinless particles whose number undergoes random fluctuations.
The model is compared with the canonical quantization of the free scalar field
in the limit of infinite volume.
| [
{
"created": "Mon, 29 Jun 1998 16:07:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Morato",
"L. M.",
""
],
[
"Viola",
"L.",
""
]
] | We construct a relativistically covariant stochastic model for systems of non-interacting spinless particles whose number undergoes random fluctuations. The model is compared with the canonical quantization of the free scalar field in the limit of infinite volume. |
hep-th/9406001 | null | D. J. Navarro and J. Navarro-Salas | A (1+3) Relativistic Harmonic Oscillator Simulated by an Anti-de Sitter
Background | 12 pages, plain Latex, needs amssymb.sty. FTUV/94-27, IFIC/94-24,
hep-th/9406001 | null | null | null | hep-th | null | It is shown that a static $(1+3)$ anti-de Sitter metric defines, in a natural
way, a relativistic harmonic oscillator in Minkowski space. The quantum theory
can be solved exactly and leads to wave functions having a significantly
different behaviour with respect to the non-relativistic ones. The energy
spectrum coincides, up to the ground state energy, with that of the
non-relativistic oscillator.
| [
{
"created": "Wed, 1 Jun 1994 10:59:00 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 1994 09:26:00 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Navarro",
"D. J.",
""
],
[
"Navarro-Salas",
"J.",
""
]
] | It is shown that a static $(1+3)$ anti-de Sitter metric defines, in a natural way, a relativistic harmonic oscillator in Minkowski space. The quantum theory can be solved exactly and leads to wave functions having a significantly different behaviour with respect to the non-relativistic ones. The energy spectrum coincides, up to the ground state energy, with that of the non-relativistic oscillator. |
2309.15896 | Xinyu Sun | Xinyu Sun, Shao-Kai Jian | Holographic Weak Measurement | 81 pages, 36 figures, added a discussion on the thick brane
description, updated references | JHEP12(2023)157 | 10.1007/JHEP12(2023)157 | null | hep-th cond-mat.stat-mech quant-ph | http://creativecommons.org/licenses/by/4.0/ | In this paper, we study a holographic description of weak measurements in
conformal field theories (CFTs). Weak measurements can be viewed as a soft
projection that interpolates between an identity operator and a projection
operator, and can induce an effective central charge distinct from the
unmeasured CFT. We model the weak measurement by an interface brane, separating
different geometries dual to the post-measurement state and the unmeasured CFT,
respectively. In an infinite system, the weak measurement is related to ICFT
via a spacetime rotation. We find that the holographic entanglement entropy
with twist operators located on the defect is consistent in both calculations
for ICFT and weak measurements. We additionally calculate the boundary entropy
via holographic entanglement as well as partition function. In a finite system,
the weak measurement can lead to a rich phase diagram: for marginal
measurements the emergent brane separates two AdS geometries, while for
irrelevant measurements the post-measurement geometry features an AdS spacetime
and a black hole spacetime that are separated by the brane. Although the
measurement is irrelevant in the later phase, the post-measurement geometry can
realize a Python's lunch.
| [
{
"created": "Wed, 27 Sep 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Oct 2023 17:58:34 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Dec 2023 18:24:39 GMT",
"version": "v3"
}
] | 2023-12-29 | [
[
"Sun",
"Xinyu",
""
],
[
"Jian",
"Shao-Kai",
""
]
] | In this paper, we study a holographic description of weak measurements in conformal field theories (CFTs). Weak measurements can be viewed as a soft projection that interpolates between an identity operator and a projection operator, and can induce an effective central charge distinct from the unmeasured CFT. We model the weak measurement by an interface brane, separating different geometries dual to the post-measurement state and the unmeasured CFT, respectively. In an infinite system, the weak measurement is related to ICFT via a spacetime rotation. We find that the holographic entanglement entropy with twist operators located on the defect is consistent in both calculations for ICFT and weak measurements. We additionally calculate the boundary entropy via holographic entanglement as well as partition function. In a finite system, the weak measurement can lead to a rich phase diagram: for marginal measurements the emergent brane separates two AdS geometries, while for irrelevant measurements the post-measurement geometry features an AdS spacetime and a black hole spacetime that are separated by the brane. Although the measurement is irrelevant in the later phase, the post-measurement geometry can realize a Python's lunch. |
hep-th/9901055 | Bert Janssen | Eric Bergshoeff, Mees de Roo, Bert Janssen, Tomas Ortin | The Super D9-Brane and its Truncations | 18 pages, no figures, version to appear in Nucl.Phys.B | Nucl.Phys. B550 (1999) 289-302 | 10.1016/S0550-3213(99)00214-X | UG/16-98 IFT-UAM/CSIC-98-27 | hep-th | null | We consider two inequivalent truncations of the super D9--brane: the
``Heterotic'' and the ``Type I'' truncation. Both of them lead to an N=1
nonlinear supersymmetrization of the D=10 cosmological constant. The
propagating degrees of freedom in the Heterotic and Type I truncation are given
by the components of a D=10 vector multiplet and a single Majorana-Weyl spinor,
respectively. As a by-product we find that, after the Type I truncation, the
Ramond-Ramond super ten-form provides an interesting reformulation of the
Volkov-Akulov action. These results can be extended to all dimensions in which
spacetime filling D-branes exist, i.e. D=3,4,6 and 10.
| [
{
"created": "Wed, 13 Jan 1999 17:59:31 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Feb 1999 10:05:51 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Mar 1999 16:18:23 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Bergshoeff",
"Eric",
""
],
[
"de Roo",
"Mees",
""
],
[
"Janssen",
"Bert",
""
],
[
"Ortin",
"Tomas",
""
]
] | We consider two inequivalent truncations of the super D9--brane: the ``Heterotic'' and the ``Type I'' truncation. Both of them lead to an N=1 nonlinear supersymmetrization of the D=10 cosmological constant. The propagating degrees of freedom in the Heterotic and Type I truncation are given by the components of a D=10 vector multiplet and a single Majorana-Weyl spinor, respectively. As a by-product we find that, after the Type I truncation, the Ramond-Ramond super ten-form provides an interesting reformulation of the Volkov-Akulov action. These results can be extended to all dimensions in which spacetime filling D-branes exist, i.e. D=3,4,6 and 10. |
1304.5631 | Takashi Arai | Takashi Arai | Effective potential and Goldstone bosons in de Sitter space | 24 pages, 7 figures | Phys. Rev. D 88, 064029 (2013) | 10.1103/PhysRevD.88.064029 | KEK-TH-1624 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate nonperturbative infrared effects for the O(N) linear sigma
model in de Sitter space using the two-particle irreducible effective action at
the Hartree truncation level. This approximation resums the infinite series of
so-called superdaisy diagrams. For the proper treatment of ultraviolet
divergences, we first study the renormalization of this approximation on a
general curved background. Then, we calculate radiatively corrected masses and
the effective potential. As a result, spontaneous symmetry breaking is
possible, on the other hand, the Goldstone modes acquire a positive definite
mass term due to the screening effects of interaction. Possible infrared
divergence is self-regulated by the mass term. Furthermore, there is a symmetry
restoring phase transition as a function of the Hubble parameter. In our
approximation, the phase transition is of first order.
| [
{
"created": "Sat, 20 Apr 2013 14:11:30 GMT",
"version": "v1"
}
] | 2013-09-23 | [
[
"Arai",
"Takashi",
""
]
] | We investigate nonperturbative infrared effects for the O(N) linear sigma model in de Sitter space using the two-particle irreducible effective action at the Hartree truncation level. This approximation resums the infinite series of so-called superdaisy diagrams. For the proper treatment of ultraviolet divergences, we first study the renormalization of this approximation on a general curved background. Then, we calculate radiatively corrected masses and the effective potential. As a result, spontaneous symmetry breaking is possible, on the other hand, the Goldstone modes acquire a positive definite mass term due to the screening effects of interaction. Possible infrared divergence is self-regulated by the mass term. Furthermore, there is a symmetry restoring phase transition as a function of the Hubble parameter. In our approximation, the phase transition is of first order. |
hep-th/9308102 | Jean-Philippe Brunet | Yang-Mills Instantons Carlos Castro (I.A.E.C 1407 Alegria, Austin,
Texas Usa) | W Gravity, $N=2$ Strings and $ 2+2~SU^*(\infty)$ | 10 pages | J.Math.Phys. 35 (1994) 3013-3024 | 10.1063/1.530500 | IAEC 8-93 | hep-th | null | We conjecture that $W$ gravity can be interpreted as the gauge theory of
$\phi$ diffeomorphisms in the space of dimensionally-reduced $D=2+2$
$SU^*(\infty)$ Yang-Mills instantons. These $\phi$ diffeomorphisms preserve a
volume-three form and are those which furnish the correspondence between the
dimensionally-reduced Plebanski equation and the KP equation in $(1+2)$
dimensions. A supersymmetric extension furnishes super-$W$ gravity. The
Super-Plebanski equation generates self-dual complexified super gravitational
backgrounds (SDSG) in terms of the super-Plebanski second heavenly form. Since
the latter equation yields $N=1~D=4~SDSG$ complexified backgrounds associated
with the complexified-cotangent space of the Riemannian surface,
$(T^*\Sigma)^c$, required in the formulation of $SU^*(\infty)$ complexified
Self-Dual Yang-Mills theory, (SDYM ); it naturally follows that the recently
constructed $D=2+2~N=4$ SDSYM theory- as the consistent background of the open
$N=2$ superstring- can be embedded into the $N=1~SU^*(\infty)$ complexified
Self-Dual-Super-Yang-Mills (SDSYM) in $D=3+3$ dimensions. This is achieved
after using a generalization of self-duality for $D>4$. We finally comment on
the the plausible relationship between the geometry of $N=2$ strings and the
moduli of $SU^*(\infty)$ complexified SDSYM in $3+3$ dimensions.
| [
{
"created": "Fri, 20 Aug 1993 22:13:40 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Castro",
"Yang-Mills Instantons Carlos",
"",
"I.A.E.C 1407 Alegria, Austin,\n Texas Usa"
]
] | We conjecture that $W$ gravity can be interpreted as the gauge theory of $\phi$ diffeomorphisms in the space of dimensionally-reduced $D=2+2$ $SU^*(\infty)$ Yang-Mills instantons. These $\phi$ diffeomorphisms preserve a volume-three form and are those which furnish the correspondence between the dimensionally-reduced Plebanski equation and the KP equation in $(1+2)$ dimensions. A supersymmetric extension furnishes super-$W$ gravity. The Super-Plebanski equation generates self-dual complexified super gravitational backgrounds (SDSG) in terms of the super-Plebanski second heavenly form. Since the latter equation yields $N=1~D=4~SDSG$ complexified backgrounds associated with the complexified-cotangent space of the Riemannian surface, $(T^*\Sigma)^c$, required in the formulation of $SU^*(\infty)$ complexified Self-Dual Yang-Mills theory, (SDYM ); it naturally follows that the recently constructed $D=2+2~N=4$ SDSYM theory- as the consistent background of the open $N=2$ superstring- can be embedded into the $N=1~SU^*(\infty)$ complexified Self-Dual-Super-Yang-Mills (SDSYM) in $D=3+3$ dimensions. This is achieved after using a generalization of self-duality for $D>4$. We finally comment on the the plausible relationship between the geometry of $N=2$ strings and the moduli of $SU^*(\infty)$ complexified SDSYM in $3+3$ dimensions. |
hep-th/0209082 | Shogo Aoyama | Shogo Aoyama and Takahiro Masuda | Fuzzy Algebrae of the General Kaehler Coset Space G/H\otimesU(1)^k | 8 pages, LaTex, no figure | Mod.Phys.Lett. A18 (2003) 553-560 | 10.1142/S0217732303009666 | KEK-TH-841 | hep-th | null | We study the fuzzy structure of the general Kaehler coset space
G/S\otimes{U(1)}^k deformed by the Fedosov formalism. It is shown that the
Killing potentials satisfy the fuzzy algebrae working in the Darboux
coordinates.
| [
{
"created": "Tue, 10 Sep 2002 10:57:11 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Aoyama",
"Shogo",
""
],
[
"Masuda",
"Takahiro",
""
]
] | We study the fuzzy structure of the general Kaehler coset space G/S\otimes{U(1)}^k deformed by the Fedosov formalism. It is shown that the Killing potentials satisfy the fuzzy algebrae working in the Darboux coordinates. |
hep-th/0112050 | Masashi Hamanaka | Masashi Hamanaka, Yasuyuki Imaizumi and Nobuyoshi Ohta | Moduli Space and Scattering of D0-Branes in Noncommutative Super
Yang-Mills Theory | 12 pages, 1 figure; note added, references added; v3: minor
correction, version to appear in PLB | Phys.Lett. B529 (2002) 163-170 | 10.1016/S0370-2693(02)01251-0 | OU-HET 401, UT-977 | hep-th | null | We study the moduli space of the D0-brane system on Dp-branes realized in the
noncommutative super Yang-Mills theory. By examining the fluctuations around
the solitonic solutions generated by solution generating technique, we confirm
the interpretation of the moduli as the positions of D0-branes on Dp-branes.
Low-energy scattering process is also examined for two D0-branes. We find that
the D0-branes scatter at right angle for head-on collision in the D0-D4 system.
For D0-D6 and D0-D8 systems we find special solutions which reduce to the D0-D4
case, giving the same behavior. This suggests that the scattering at right
angle for head-on collision is a universal behavior of this kind of soliton
scatterings.
| [
{
"created": "Fri, 7 Dec 2001 02:14:34 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2001 12:23:38 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Jan 2002 08:23:48 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Hamanaka",
"Masashi",
""
],
[
"Imaizumi",
"Yasuyuki",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | We study the moduli space of the D0-brane system on Dp-branes realized in the noncommutative super Yang-Mills theory. By examining the fluctuations around the solitonic solutions generated by solution generating technique, we confirm the interpretation of the moduli as the positions of D0-branes on Dp-branes. Low-energy scattering process is also examined for two D0-branes. We find that the D0-branes scatter at right angle for head-on collision in the D0-D4 system. For D0-D6 and D0-D8 systems we find special solutions which reduce to the D0-D4 case, giving the same behavior. This suggests that the scattering at right angle for head-on collision is a universal behavior of this kind of soliton scatterings. |
1603.09268 | Yu. A. Sitenko | Yu. A. Sitenko | On the chiral separation effect in a slab | 9 pages, minor changes, some discussion added in the concluding
section, misprints corrected | Europhys. Lett. 114, 61001 (2016) | 10.1209/0295-5075/114/61001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the influence of boundaries on chiral effects in hot dense
relativistic spinor matter in a strong magnetic field which is transverse to
bounding planes. The most general set of boundary conditions ensuring the
confinement of matter within the bounding planes is considered. We find that,
in thermal equilibrium, the nondissipative axial current along the magnetic
field is induced, depending on chemical potential and temperature, as well as
on a choice of boundary conditions. As temperature increases from zero to large
values, a stepwise behaviour of the axial current density as a function of
chemical potential is changed to a smooth one; the choice of a boundary
condition can facilitate either amplification or diminution of the chiral
separation effect. This points at a significant role of boundaries for physical
systems with hot dense magnetized relativistic spinor matter, e.g., compact
stars, heavy-ion collisions, novel materials known as Dirac and Weyl
semimetals.
| [
{
"created": "Tue, 8 Mar 2016 19:38:42 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Oct 2016 12:03:32 GMT",
"version": "v2"
}
] | 2016-10-04 | [
[
"Sitenko",
"Yu. A.",
""
]
] | We study the influence of boundaries on chiral effects in hot dense relativistic spinor matter in a strong magnetic field which is transverse to bounding planes. The most general set of boundary conditions ensuring the confinement of matter within the bounding planes is considered. We find that, in thermal equilibrium, the nondissipative axial current along the magnetic field is induced, depending on chemical potential and temperature, as well as on a choice of boundary conditions. As temperature increases from zero to large values, a stepwise behaviour of the axial current density as a function of chemical potential is changed to a smooth one; the choice of a boundary condition can facilitate either amplification or diminution of the chiral separation effect. This points at a significant role of boundaries for physical systems with hot dense magnetized relativistic spinor matter, e.g., compact stars, heavy-ion collisions, novel materials known as Dirac and Weyl semimetals. |
1407.1852 | Bruno Le Floch | Jaume Gomis and Bruno Le Floch | M2-brane surface operators and gauge theory dualities in Toda | 70 pages + appendices. v2: references added. v3: correct theta angle
shifts to match the version published in 2016 | JHEP 1604 (2016) 183 | 10.1007/JHEP04(2016)183 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a microscopic two dimensional ${\cal N}=(2,2)$ gauge theory
description of arbitrary M2-branes ending on $N_f$ M5-branes wrapping a
punctured Riemann surface. These realize surface operators in four dimensional
${\cal N}=2$ field theories. We show that the expectation value of these
surface operators on the sphere is captured by a Toda CFT correlation function
in the presence of an additional degenerate vertex operator labelled by a
representation ${\cal R}$ of $SU(N_f)$, which also labels M2-branes ending on
M5-branes. We prove that symmetries of Toda CFT correlators provide a geometric
realization of dualities between two dimensional gauge theories, including
${\cal N}=(2,2)$ analogues of Seiberg and Kutasov--Schwimmer dualities. As a
bonus, we find new explicit conformal blocks, braiding matrices, and fusion
rules in Toda CFT.
| [
{
"created": "Mon, 7 Jul 2014 20:01:08 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Dec 2015 06:05:33 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Aug 2020 21:43:47 GMT",
"version": "v3"
}
] | 2020-08-24 | [
[
"Gomis",
"Jaume",
""
],
[
"Floch",
"Bruno Le",
""
]
] | We give a microscopic two dimensional ${\cal N}=(2,2)$ gauge theory description of arbitrary M2-branes ending on $N_f$ M5-branes wrapping a punctured Riemann surface. These realize surface operators in four dimensional ${\cal N}=2$ field theories. We show that the expectation value of these surface operators on the sphere is captured by a Toda CFT correlation function in the presence of an additional degenerate vertex operator labelled by a representation ${\cal R}$ of $SU(N_f)$, which also labels M2-branes ending on M5-branes. We prove that symmetries of Toda CFT correlators provide a geometric realization of dualities between two dimensional gauge theories, including ${\cal N}=(2,2)$ analogues of Seiberg and Kutasov--Schwimmer dualities. As a bonus, we find new explicit conformal blocks, braiding matrices, and fusion rules in Toda CFT. |
1412.0740 | Tib\'erio de Paula Netto | Leonardo Modesto, Tib\'erio de Paula Netto and Ilya L. Shapiro | On Newtonian singularities in higher derivative gravity models | Added comment about the black hole solutions in Conclusions section.
Fits published version, plus some misprints corrected in formulas at the end
of Sect. 3 | null | 10.1007/JHEP04(2015)098 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the problem of Newtonian singularity in the wide class of higher
derivative gravity models, including the ones which are renormalizable and
super-renormalizable at the quantum level. The simplest version of the
singularity-free theory has four derivatives and is pretty well-known. We argue
that in all cases of local higher-derivative theories, when the poles of the
propagator are real and simple, the singularities disappear due to the
cancellation of contributions from scalar and tensor massive modes.
| [
{
"created": "Mon, 1 Dec 2014 23:46:02 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Nov 2015 23:19:03 GMT",
"version": "v2"
}
] | 2015-11-12 | [
[
"Modesto",
"Leonardo",
""
],
[
"Netto",
"Tibério de Paula",
""
],
[
"Shapiro",
"Ilya L.",
""
]
] | We consider the problem of Newtonian singularity in the wide class of higher derivative gravity models, including the ones which are renormalizable and super-renormalizable at the quantum level. The simplest version of the singularity-free theory has four derivatives and is pretty well-known. We argue that in all cases of local higher-derivative theories, when the poles of the propagator are real and simple, the singularities disappear due to the cancellation of contributions from scalar and tensor massive modes. |
0809.3429 | Juan Antonio Nieto | J. A. Nieto | SL(2,R)-Symmetry and Noncommutative Phase Space in (2+2) Dimensions | 16 pages, Latex, some improvements introduced | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the connection between 2t physics and noncommutative geometry.
In particular, we apply our formalism to a target spacetime of signature (2+2).
Specifically, we compute an algebra of a generalized SL(2, R)-Hamiltonian
constraint, showing that it satisfies a kind of algebra associated with the
noncommutative group $U_{\star}(1,1)$. We also comment about a possible
connection between our formalism and nonsymmetric gravitational theory.
| [
{
"created": "Fri, 19 Sep 2008 18:07:08 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Nov 2008 16:48:34 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Mar 2009 15:45:52 GMT",
"version": "v3"
},
{
"created": "Wed, 22 Apr 2009 16:39:40 GMT",
"version": "v4"
}
] | 2009-04-22 | [
[
"Nieto",
"J. A.",
""
]
] | We generalize the connection between 2t physics and noncommutative geometry. In particular, we apply our formalism to a target spacetime of signature (2+2). Specifically, we compute an algebra of a generalized SL(2, R)-Hamiltonian constraint, showing that it satisfies a kind of algebra associated with the noncommutative group $U_{\star}(1,1)$. We also comment about a possible connection between our formalism and nonsymmetric gravitational theory. |
2108.10884 | Mario Martone | Sergio Cecotti, Michele Del Zotto, Mario Martone, Robert Moscrop | The Characteristic Dimension of Four-dimensional $\mathcal{N} = 2$ SCFTs | 23 pages, 3 tables | null | 10.1007/s00220-022-04605-5 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we introduce the characteristic dimension of a four dimensional
$\mathcal{N}=2$ superconformal field theory, which is an extraordinary simple
invariant determined by the scaling dimensions of its Coulomb branch operators.
We prove that only nine values of the characteristic dimension are allowed,
$-\infty$, 1 ,6/5, 4/3, 3/2, 2, 3, 4, and 6, thus giving a new organizing
principle to the vast landscape of 4d $\mathcal N=2$ SCFTs. Whenever the
characteristic dimension differs from 1 or 2, only very constrained special
K\"ahler geometries (i.e. isotrivial, diagonal and rigid) are compatible with
the corresponding set of Coulomb branch dimensions and extremely special,
maximally strongly coupled, BPS spectra are allowed for the theories which
realize them. Our discussion applies to superconformal field theories of
arbitrary rank, i.e. with Coulomb branches of any complex dimension. Along the
way, we predict the existence of new $\mathcal{N}=3$ theories of rank two with
non-trivial one-form symmetries.
| [
{
"created": "Tue, 24 Aug 2021 18:00:00 GMT",
"version": "v1"
}
] | 2023-03-14 | [
[
"Cecotti",
"Sergio",
""
],
[
"Del Zotto",
"Michele",
""
],
[
"Martone",
"Mario",
""
],
[
"Moscrop",
"Robert",
""
]
] | In this paper we introduce the characteristic dimension of a four dimensional $\mathcal{N}=2$ superconformal field theory, which is an extraordinary simple invariant determined by the scaling dimensions of its Coulomb branch operators. We prove that only nine values of the characteristic dimension are allowed, $-\infty$, 1 ,6/5, 4/3, 3/2, 2, 3, 4, and 6, thus giving a new organizing principle to the vast landscape of 4d $\mathcal N=2$ SCFTs. Whenever the characteristic dimension differs from 1 or 2, only very constrained special K\"ahler geometries (i.e. isotrivial, diagonal and rigid) are compatible with the corresponding set of Coulomb branch dimensions and extremely special, maximally strongly coupled, BPS spectra are allowed for the theories which realize them. Our discussion applies to superconformal field theories of arbitrary rank, i.e. with Coulomb branches of any complex dimension. Along the way, we predict the existence of new $\mathcal{N}=3$ theories of rank two with non-trivial one-form symmetries. |
1409.0029 | Rafael Augusto Couceiro Correa | R. A. C. Correa, A. de Souza Dutra, and M. Gleiser | Information-Entropic Measure of Energy-Degenerate Kinks in Two-Field
Models | null | null | 10.1016/j.physletb.2014.09.002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the existence and properties of kink-like solitons in a class
of models with two interacting scalar fields. In particular, we focus on models
that display both double and single-kink solutions, treatable analytically
using the Bogomol'nyi--Prasad--Sommerfield bound (BPS). Such models are of
interest in applications that include Skyrmions and various
superstring-motivated theories. Exploring a region of parameter space where the
energy for very different spatially-bound configurations is degenerate, we show
that a newly-proposed momentum-space entropic measure called Configurational
Entropy (CE) can distinguish between such energy-degenerate spatial profiles.
This information-theoretic measure of spatial complexity provides a
complementary perspective to situations where strictly energy-based arguments
are inconclusive.
| [
{
"created": "Fri, 29 Aug 2014 20:29:27 GMT",
"version": "v1"
}
] | 2015-02-10 | [
[
"Correa",
"R. A. C.",
""
],
[
"Dutra",
"A. de Souza",
""
],
[
"Gleiser",
"M.",
""
]
] | We investigate the existence and properties of kink-like solitons in a class of models with two interacting scalar fields. In particular, we focus on models that display both double and single-kink solutions, treatable analytically using the Bogomol'nyi--Prasad--Sommerfield bound (BPS). Such models are of interest in applications that include Skyrmions and various superstring-motivated theories. Exploring a region of parameter space where the energy for very different spatially-bound configurations is degenerate, we show that a newly-proposed momentum-space entropic measure called Configurational Entropy (CE) can distinguish between such energy-degenerate spatial profiles. This information-theoretic measure of spatial complexity provides a complementary perspective to situations where strictly energy-based arguments are inconclusive. |
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