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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1804.10477 | Juan Miguel Nieto | Juan Miguel Nieto and Roberto Ruiz | One-loop quantization of rigid spinning strings in $AdS_3 \times S^3
\times T^4$ with mixed flux | 35 pages. v2: Minor changes and references updated. v3: Published
version | JHEP 07 (2018) 141 | 10.1007/JHEP07(2018)141 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the one-loop correction to the classical dispersion relation of
rigid closed spinning strings with two equal angular momenta in the $AdS_3
\times S^3 \times T^4$ background supported with a mixture of R-R and NS-NS
three-form fluxes. This analysis is extended to the case of two arbitrary
angular momenta in the pure NS-NS limit. We perform this computation by means
of two different methods. The first method relies on the Euler-Lagrange
equations for the quadratic fluctuations around the classical solution, while
the second one exploits the underlying integrability of the problem through the
finite-gap equations. We find that the one-loop correction vanishes in the pure
NS-NS limit.
| [
{
"created": "Fri, 27 Apr 2018 12:51:07 GMT",
"version": "v1"
},
{
"created": "Tue, 8 May 2018 10:36:49 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Jul 2018 11:06:49 GMT",
"version": "v3"
}
] | 2018-07-30 | [
[
"Nieto",
"Juan Miguel",
""
],
[
"Ruiz",
"Roberto",
""
]
] | We compute the one-loop correction to the classical dispersion relation of rigid closed spinning strings with two equal angular momenta in the $AdS_3 \times S^3 \times T^4$ background supported with a mixture of R-R and NS-NS three-form fluxes. This analysis is extended to the case of two arbitrary angular momenta in the pure NS-NS limit. We perform this computation by means of two different methods. The first method relies on the Euler-Lagrange equations for the quadratic fluctuations around the classical solution, while the second one exploits the underlying integrability of the problem through the finite-gap equations. We find that the one-loop correction vanishes in the pure NS-NS limit. |
hep-th/9710146 | Joseph A. Minahan | J. A. Minahan, D. Nemeschansky and N. P. Warner | Instanton Expansions for Mass Deformed N=4 Super Yang-Mills Theories | harvmac(b) 28 pages | Nucl.Phys. B528 (1998) 109-132 | 10.1016/S0550-3213(98)00314-9 | USC-97/016 | hep-th | null | We derive modular anomaly equations from the Seiberg-Witten-Donagi curves for
softly broken N=4 SU(n) gauge theories. From these equations we can derive
recursion relations for the pre-potential in powers of m^2, where m is the mass
of the adjoint hypermultiplet. Given the perturbative contribution of the
pre-potential and the presence of ``gaps'' we can easily generate the m^2
expansion in terms of polynomials of Eisenstein series, at least for relatively
low rank groups. This enables us to determine efficiently the instanton
expansion up to fairly high order for these gauge groups, e. g. eighth order
for SU(3). We find that after taking a derivative, the instanton expansion of
the pre-potential has integer coefficients. We also postulate the form of the
modular anomaly equations, the recursion relations and the form of the
instanton expansions for the SO(2n) and E_n gauge groups, even though the
corresponding Seiberg-Witten-Donagi curves are unknown at this time.
| [
{
"created": "Fri, 17 Oct 1997 18:12:13 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Minahan",
"J. A.",
""
],
[
"Nemeschansky",
"D.",
""
],
[
"Warner",
"N. P.",
""
]
] | We derive modular anomaly equations from the Seiberg-Witten-Donagi curves for softly broken N=4 SU(n) gauge theories. From these equations we can derive recursion relations for the pre-potential in powers of m^2, where m is the mass of the adjoint hypermultiplet. Given the perturbative contribution of the pre-potential and the presence of ``gaps'' we can easily generate the m^2 expansion in terms of polynomials of Eisenstein series, at least for relatively low rank groups. This enables us to determine efficiently the instanton expansion up to fairly high order for these gauge groups, e. g. eighth order for SU(3). We find that after taking a derivative, the instanton expansion of the pre-potential has integer coefficients. We also postulate the form of the modular anomaly equations, the recursion relations and the form of the instanton expansions for the SO(2n) and E_n gauge groups, even though the corresponding Seiberg-Witten-Donagi curves are unknown at this time. |
1208.6019 | Ergin Sezgin | Ergin Sezgin, Per Sundell | Supersymmetric Higher Spin Theories | 30 pages. Contribution to J. Phys. A special volume on "Higher Spin
Theories and AdS/CFT" edited by M. R. Gaberdiel and M. Vasiliev | null | 10.1088/1751-8113/46/21/214022 | MIFPA-12-31 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the higher spin extensions of the anti de Sitter algebra in four
dimensions that incorporate internal symmetries and admit representations that
contain fermions, classified long ago by Konstein and Vasiliev. We construct
the $dS_4$, Euclidean and Kleinian version of these algebras, as well as the
corresponding fully nonlinear Vasiliev type higher spin theories, in which the
reality conditions we impose on the master fields play a crucial role. The
${\cal N}=2$ supersymmetric higher spin theory in $dS_4$, on which we elaborate
further, is included in this class of models. A subset of Konstein-Vasiliev
algebras are the higher spin extensions of the $AdS_4$ superalgebras
$osp(4|{\cal N})$ for ${\cal N}=1,2,4$ mod 4 and can be realized using
fermionic oscillators. We tensor the higher superalgebras of the latter kind
with appropriate internal symmetry groups and show that the ${\cal N}=3$ mod 4
higher spin algebras are isomorphic to those with ${\cal N}=4$ mod 4. We
describe the fully nonlinear higher spin theories based on these algebras as
well, and we elaborate further on the ${\cal N}=6$ supersymmetric theory,
providing two equivalent descriptions one of which exhibits manifestly its
relation to the ${\cal N}=8$ supersymmetric higher spin theory.
| [
{
"created": "Wed, 29 Aug 2012 20:26:05 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Sezgin",
"Ergin",
""
],
[
"Sundell",
"Per",
""
]
] | We revisit the higher spin extensions of the anti de Sitter algebra in four dimensions that incorporate internal symmetries and admit representations that contain fermions, classified long ago by Konstein and Vasiliev. We construct the $dS_4$, Euclidean and Kleinian version of these algebras, as well as the corresponding fully nonlinear Vasiliev type higher spin theories, in which the reality conditions we impose on the master fields play a crucial role. The ${\cal N}=2$ supersymmetric higher spin theory in $dS_4$, on which we elaborate further, is included in this class of models. A subset of Konstein-Vasiliev algebras are the higher spin extensions of the $AdS_4$ superalgebras $osp(4|{\cal N})$ for ${\cal N}=1,2,4$ mod 4 and can be realized using fermionic oscillators. We tensor the higher superalgebras of the latter kind with appropriate internal symmetry groups and show that the ${\cal N}=3$ mod 4 higher spin algebras are isomorphic to those with ${\cal N}=4$ mod 4. We describe the fully nonlinear higher spin theories based on these algebras as well, and we elaborate further on the ${\cal N}=6$ supersymmetric theory, providing two equivalent descriptions one of which exhibits manifestly its relation to the ${\cal N}=8$ supersymmetric higher spin theory. |
1902.01093 | Kazuo Ghoroku | Kazuo Ghoroku, Kouji Kashiwa, Yoshimasa Nakano, Motoi Tachibana, and
Fumihiko Toyoda | Color Superconductivity in Holographic SYM Theory | 20 pages, 7 figures | Phys. Rev. D 99, 106011 (2019) | 10.1103/PhysRevD.99.106011 | FIT HE - 19-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A holographic bottom-up model used in studying the superconducting system is
applied to search for the color superconducting phase of supersymmetric
Yang-Mills theory. We apply the probe analysis of this model to the
supersymmetric Yang-Mills theory in both the confinement and deconfinement
phases. In this analysis, we find the color superconductivity in both phases
when the baryon chemical potential exceeds a certain critical value. This
result implies that, above the critical chemical potential, a color non-singlet
diquark operator, namely the Cooper pair, has its vacuum expectation value even
in the confinement phase. In order to improve this peculiar situation, we
proceed the analysis by taking account of the full back-reaction from the
probe. As a result, the color superconducting phase, which is observed in the
probe approximation, disappears in both the confinement and deconfinement
phases when parameters of the theory are set within their reasonable values.
| [
{
"created": "Mon, 4 Feb 2019 09:22:48 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Apr 2019 11:18:19 GMT",
"version": "v2"
}
] | 2019-05-29 | [
[
"Ghoroku",
"Kazuo",
""
],
[
"Kashiwa",
"Kouji",
""
],
[
"Nakano",
"Yoshimasa",
""
],
[
"Tachibana",
"Motoi",
""
],
[
"Toyoda",
"Fumihiko",
""
]
] | A holographic bottom-up model used in studying the superconducting system is applied to search for the color superconducting phase of supersymmetric Yang-Mills theory. We apply the probe analysis of this model to the supersymmetric Yang-Mills theory in both the confinement and deconfinement phases. In this analysis, we find the color superconductivity in both phases when the baryon chemical potential exceeds a certain critical value. This result implies that, above the critical chemical potential, a color non-singlet diquark operator, namely the Cooper pair, has its vacuum expectation value even in the confinement phase. In order to improve this peculiar situation, we proceed the analysis by taking account of the full back-reaction from the probe. As a result, the color superconducting phase, which is observed in the probe approximation, disappears in both the confinement and deconfinement phases when parameters of the theory are set within their reasonable values. |
2007.01213 | Edvard Musaev | Edvard T. Musaev | On non-abelian U-duality of 11D backgrounds | 20 pages, 7 figures. V2: added a discussion of restrictions and
applicability of the suggested NAUD procedure | Universe 2022, 8(5), 276 | 10.3390/universe8050276 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we generalised the procedure of non-abelian T-duality based on
a B-shift and a sequence of formal abelian T-dualities in non-isometric
directions to 11-dimensional backgrounds. This consists of a C-shift followed
by either a formal U-duality transformation or taking a IIB section. We
investigate restrictions and applicability of the procedure and find that it
can provide supergravity solutions for the SL(5) exceptional Drinfeld algebra
only when a spectator field is present, which is consistent with examples known
in the literature.
| [
{
"created": "Thu, 2 Jul 2020 15:54:05 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Aug 2020 06:19:59 GMT",
"version": "v2"
}
] | 2022-12-08 | [
[
"Musaev",
"Edvard T.",
""
]
] | In this letter we generalised the procedure of non-abelian T-duality based on a B-shift and a sequence of formal abelian T-dualities in non-isometric directions to 11-dimensional backgrounds. This consists of a C-shift followed by either a formal U-duality transformation or taking a IIB section. We investigate restrictions and applicability of the procedure and find that it can provide supergravity solutions for the SL(5) exceptional Drinfeld algebra only when a spectator field is present, which is consistent with examples known in the literature. |
2309.07600 | Oscar Fuentealba | Oscar Fuentealba, Marc Henneaux | Simplifying (super-)BMS algebras | 23 pages, no figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We show that the non-linear BMS$_5$ symmetry algebra of asymptotically flat
Einstein gravity in five dimensions, as well as the super-BMS$_4$ superalgebra
of asymptotically flat supergravity, can be redefined so as to take a direct
sum structure. In the new presentation of the (super-)algebra, angle-dependent
translations and angle-dependent supersymmetry transformations commute with the
(super-)Poincar\'e generators. We also explain in detail the structure and
charge-integrability of asymptotic symmetries with symmetry parameters
depending on the fields (through the charges themselves), a topic relevant for
nonlinear asymptotic symmetry algebras.
| [
{
"created": "Thu, 14 Sep 2023 11:05:10 GMT",
"version": "v1"
}
] | 2023-09-15 | [
[
"Fuentealba",
"Oscar",
""
],
[
"Henneaux",
"Marc",
""
]
] | We show that the non-linear BMS$_5$ symmetry algebra of asymptotically flat Einstein gravity in five dimensions, as well as the super-BMS$_4$ superalgebra of asymptotically flat supergravity, can be redefined so as to take a direct sum structure. In the new presentation of the (super-)algebra, angle-dependent translations and angle-dependent supersymmetry transformations commute with the (super-)Poincar\'e generators. We also explain in detail the structure and charge-integrability of asymptotic symmetries with symmetry parameters depending on the fields (through the charges themselves), a topic relevant for nonlinear asymptotic symmetry algebras. |
hep-th/9705107 | Edi Halyo | Edi Halyo | M(atrix) Black Holes in Five Dimensions | 20 pages in phyzzx.tex, three references added | JHEP 9903 (1999) 005 | 10.1088/1126-6708/1999/03/005 | null | hep-th | null | We examine five dimensional extreme black holes with three charges in the
matrix model. We build configurations of the 5+1 super Yang-Mills theory which
correspond to black holes with transverse momentum charge. We calculate their
mass and entropy from the super Yang-Mills theory and find that they match the
semi-classical black hole results. We extend our results to nonextreme black
holes in the dilute gas approximation.
| [
{
"created": "Wed, 14 May 1997 23:15:09 GMT",
"version": "v1"
},
{
"created": "Wed, 21 May 1997 22:46:15 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Halyo",
"Edi",
""
]
] | We examine five dimensional extreme black holes with three charges in the matrix model. We build configurations of the 5+1 super Yang-Mills theory which correspond to black holes with transverse momentum charge. We calculate their mass and entropy from the super Yang-Mills theory and find that they match the semi-classical black hole results. We extend our results to nonextreme black holes in the dilute gas approximation. |
2111.02195 | Valdo Tatitscheff | Valdo Tatitscheff | Inverse algorithm and triple point diagrams | 5 pages, 24 figures, to appear in the Proceedings of the Nankai
Symposium on Mathematical Dialogues, 2-13 August 2021 | null | null | null | hep-th math-ph math.CO math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dimer models (also known as brane tilings) are special bipartite graphs on a
torus $\mathbb{T}^2$. They encode the structure of the 4d $\mathcal{N} = 1$
worldvolume theories of D3 branes probing toric affine Calabi-Yau
singularities. Constructing dimer models from a singularity can in principle be
done via the so-called inverse algorithm, however it is hard to implement in
practice. We discuss how combinatorial objects called triple point diagrams
systematize the inverse algorithm, and show how they can be used to construct
dimer models satisfying some symmetry or containing particular substructures.
We present the construction of the Octagon dimer model which satisfies both
types of constraints. Eventually we present a new criterion concerning possible
implementations of symmetries in dimer models, in order to illustrate how the
use of triple point diagrams could strengthen such statements.
| [
{
"created": "Wed, 3 Nov 2021 13:03:31 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Dec 2021 17:43:42 GMT",
"version": "v2"
}
] | 2021-12-03 | [
[
"Tatitscheff",
"Valdo",
""
]
] | Dimer models (also known as brane tilings) are special bipartite graphs on a torus $\mathbb{T}^2$. They encode the structure of the 4d $\mathcal{N} = 1$ worldvolume theories of D3 branes probing toric affine Calabi-Yau singularities. Constructing dimer models from a singularity can in principle be done via the so-called inverse algorithm, however it is hard to implement in practice. We discuss how combinatorial objects called triple point diagrams systematize the inverse algorithm, and show how they can be used to construct dimer models satisfying some symmetry or containing particular substructures. We present the construction of the Octagon dimer model which satisfies both types of constraints. Eventually we present a new criterion concerning possible implementations of symmetries in dimer models, in order to illustrate how the use of triple point diagrams could strengthen such statements. |
hep-th/0106287 | Jorgen Rasmussen | Jorgen Rasmussen and Mark A. Walton | Affine su(3) and su(4) fusion multiplicities as polytope volumes | 16 pages, LaTeX | J.Phys.A35:6939-6952,2002 | 10.1088/0305-4470/35/32/313 | null | hep-th math-ph math.MP | null | Affine su(3) and su(4) fusion multiplicities are characterised as discretised
volumes of certain convex polytopes. The volumes are measured explicitly,
resulting in multiple sum formulas. These are the first polytope-volume
formulas for higher-rank fusion multiplicities. The associated threshold levels
are also discussed. For any simple Lie algebra we derive an upper bound on the
threshold levels using a refined version of the Gepner-Witten depth rule.
| [
{
"created": "Fri, 29 Jun 2001 21:43:35 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Rasmussen",
"Jorgen",
""
],
[
"Walton",
"Mark A.",
""
]
] | Affine su(3) and su(4) fusion multiplicities are characterised as discretised volumes of certain convex polytopes. The volumes are measured explicitly, resulting in multiple sum formulas. These are the first polytope-volume formulas for higher-rank fusion multiplicities. The associated threshold levels are also discussed. For any simple Lie algebra we derive an upper bound on the threshold levels using a refined version of the Gepner-Witten depth rule. |
1004.1606 | Jianhui Zhang | Jian-Hui Zhang | On the two-loop hexagon Wilson loop remainder function in N=4 SYM | 12 pages | Phys.Lett.B697:370-377,2011 | 10.1016/j.physletb.2011.01.056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A duality relation has been proposed between the planar gluon MHV amplitudes
and light-like Wilson loops in N=4 super Yang-Mills. At six-point two-loop, the
results for the planar gluon MHV amplitude and for the light-like Wilson loop
agree, but they both differ from the Bern-Dixon-Smirnov ansatz by a finite
remainder function. Recently Del Duca, Duhr and Smirnov presented an analytical
result for the two-loop hexagon Wilson loop remainder function in general
kinematics. Their result is rather lengthy, and the dependence on the conformal
cross ratios appears in a complicated way. Here we present an alternate, more
compact representation for the two-loop hexagon Wilson loop remainder function.
| [
{
"created": "Fri, 9 Apr 2010 17:02:28 GMT",
"version": "v1"
}
] | 2011-02-28 | [
[
"Zhang",
"Jian-Hui",
""
]
] | A duality relation has been proposed between the planar gluon MHV amplitudes and light-like Wilson loops in N=4 super Yang-Mills. At six-point two-loop, the results for the planar gluon MHV amplitude and for the light-like Wilson loop agree, but they both differ from the Bern-Dixon-Smirnov ansatz by a finite remainder function. Recently Del Duca, Duhr and Smirnov presented an analytical result for the two-loop hexagon Wilson loop remainder function in general kinematics. Their result is rather lengthy, and the dependence on the conformal cross ratios appears in a complicated way. Here we present an alternate, more compact representation for the two-loop hexagon Wilson loop remainder function. |
hep-th/9803163 | George Papadopoulos | G.W. Gibbons and G. Papadopoulos | Calibrations and Intersecting Branes | 47 pages, Phyzzx, minor changes and references added | Commun.Math.Phys.202:593-619,1999 | 10.1007/s002200050597 | DAMTP-R/98/16 | hep-th | null | We investigate the solutions of Nambu-Goto-type actions associated with
calibrations. We determine the supersymmetry preserved by these solutions using
the contact set of the calibration and examine their bulk interpretation as
intersecting branes. We show that the supersymmetry preserved by such solutions
is closely related to the spinor singlets of the subgroup $G$ of $Spin (9,1)$
or $Spin (10,1)$ that rotates the tangent spaces of the brane. We find that the
supersymmetry projections of the worldvolume solutions are precisely those of
the associated bulk configurations. We also investigate the supersymmetric
solutions of a Born-Infeld action. We show that in some cases this problem also
reduces to counting spinor singlets of a subgroup of $Spin (9,1)$ acting on the
associated spinor representations. We also find new worldvolume solutions which
preserve 1/8 of the supersymmetry of the bulk and give their bulk
interpretation.
| [
{
"created": "Thu, 19 Mar 1998 19:25:35 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Apr 1998 17:32:03 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Gibbons",
"G. W.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We investigate the solutions of Nambu-Goto-type actions associated with calibrations. We determine the supersymmetry preserved by these solutions using the contact set of the calibration and examine their bulk interpretation as intersecting branes. We show that the supersymmetry preserved by such solutions is closely related to the spinor singlets of the subgroup $G$ of $Spin (9,1)$ or $Spin (10,1)$ that rotates the tangent spaces of the brane. We find that the supersymmetry projections of the worldvolume solutions are precisely those of the associated bulk configurations. We also investigate the supersymmetric solutions of a Born-Infeld action. We show that in some cases this problem also reduces to counting spinor singlets of a subgroup of $Spin (9,1)$ acting on the associated spinor representations. We also find new worldvolume solutions which preserve 1/8 of the supersymmetry of the bulk and give their bulk interpretation. |
hep-th/9510085 | Evan Reidell | M. Alvarez (Center for Theoretical Physics, MIT) | Calculation of the Aharonov-Bohm wave function | 12 pages in LaTeX, and 3 PostScript figures | null | 10.1103/PhysRevA.54.1128 | MIT-CTP-2473 | hep-th | null | A calculation of the Aharonov-Bohm wave function is presented. The result is
a series of confluent hypergeometric functions which is finite at the forward
direction.
| [
{
"created": "Thu, 12 Oct 1995 17:03:53 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Oct 1995 17:12:29 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Alvarez",
"M.",
"",
"Center for Theoretical Physics, MIT"
]
] | A calculation of the Aharonov-Bohm wave function is presented. The result is a series of confluent hypergeometric functions which is finite at the forward direction. |
hep-th/9802189 | Yosuke Imamura | Yosuke Imamura | E_8 flavour multiplets | 17 pages + 15 eps figures, LaTeX, minor change in Section 3 | Phys. Rev. D 58, 106005 (1998) | 10.1103/PhysRevD.58.106005 | KUNS-1494 | hep-th | null | We analyze gauge symmetry enhancements $SO(16)\to E_8$ on eight D7-branes and
$SO(14)\times U(1)\to E_8$ on seven D7-branes from open strings. String
configurations which we present in this paper are closely related to the ones
given by Gaberdiel and Zwiebach. Our construction is based on $SO(8)\times
SO(8)$ decomposition and its relation to the D8-brane case via T-duality is
clearer. Then we study supersymmetric Yang-Mills theory on D3-brane near the
D7-branes. This theory has flavour symmetry group which is equal to the gauge
group on D7-branes. We suggest that when this symmetry is enhanced, two dyons
make bound states which, together with elementary quarks, constitute an $E_8$
multiplet.
| [
{
"created": "Thu, 26 Feb 1998 06:42:02 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 1998 04:56:19 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jun 1998 02:00:03 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Jul 1998 03:55:28 GMT",
"version": "v4"
}
] | 2016-08-25 | [
[
"Imamura",
"Yosuke",
""
]
] | We analyze gauge symmetry enhancements $SO(16)\to E_8$ on eight D7-branes and $SO(14)\times U(1)\to E_8$ on seven D7-branes from open strings. String configurations which we present in this paper are closely related to the ones given by Gaberdiel and Zwiebach. Our construction is based on $SO(8)\times SO(8)$ decomposition and its relation to the D8-brane case via T-duality is clearer. Then we study supersymmetric Yang-Mills theory on D3-brane near the D7-branes. This theory has flavour symmetry group which is equal to the gauge group on D7-branes. We suggest that when this symmetry is enhanced, two dyons make bound states which, together with elementary quarks, constitute an $E_8$ multiplet. |
1008.0985 | Ali Chamseddine | Ali H. Chamseddine and Alain Connes | Space-Time from the spectral point of view | 19 pages. To appear in the Proceedings of the 12th Marcel Grossmann
meeting | null | 10.1142/9789814374552_0001 | The Twelfth Marcel Grossmann Meeting, pp. 3-23 (2012) | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the spectral point of view on geometry based on the formalism of
quantum physics. We start from the simple physical question of specifying our
position in space and explain how the spectral geometric point of view provides
a new paradigm to model space-time whose fine structure can be encoded by a
finite geometry. The classification of the irreducible finite geometries of
KO-dimension 6 singles out a ``symplectic--unitary" candidate F, which when
used as the fine texture of space-time delivers from pure gravity on M x F the
Standard Model coupled to gravity and, once extrapolated to unification scale,
gives testable predictions.
| [
{
"created": "Thu, 5 Aug 2010 14:33:25 GMT",
"version": "v1"
}
] | 2019-04-11 | [
[
"Chamseddine",
"Ali H.",
""
],
[
"Connes",
"Alain",
""
]
] | We develop the spectral point of view on geometry based on the formalism of quantum physics. We start from the simple physical question of specifying our position in space and explain how the spectral geometric point of view provides a new paradigm to model space-time whose fine structure can be encoded by a finite geometry. The classification of the irreducible finite geometries of KO-dimension 6 singles out a ``symplectic--unitary" candidate F, which when used as the fine texture of space-time delivers from pure gravity on M x F the Standard Model coupled to gravity and, once extrapolated to unification scale, gives testable predictions. |
1507.02461 | Sa\v{s}o Grozdanov | Sa\v{s}o Grozdanov, Nikolaos Kaplis | Constructing higher-order hydrodynamics: The third order | V5: 33 pages. Typos fixed in Eqs. (5), (118) and (126). As a result,
the value of the transport coefficient $\theta_2$ has been corrected | Phys. Rev. D 93, 066012 (2016) | 10.1103/PhysRevD.93.066012 | null | hep-th hep-ph nucl-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Hydrodynamics can be formulated as the gradient expansion of conserved
currents in terms of the fundamental fields describing the near-equilibrium
fluid flow. In the relativistic case, the Navier-Stokes equations follow from
the conservation of the stress-energy tensor to first order in derivatives. In
this paper, we go beyond the presently understood second-order hydrodynamics
and discuss the systematisation of obtaining the hydrodynamic expansion to an
arbitrarily high order. As an example of the algorithm that we present, we
fully classify the gradient expansion at third order for neutral fluids in four
dimensions, thus finding the most general next-to-leading-order corrections to
the relativistic Navier-Stokes equations in curved space-time. In doing so, we
list $20$ new transport coefficient candidates in the conformal and $68$ in the
non-conformal case. As we do not consider any constraints that could
potentially arise from the local entropy current analysis, this is the maximal
possible set of neutral third-order transport coefficients. To investigate the
physical implications of these new transport coefficients, we obtain the
third-order corrections to the linear dispersion relations that describe the
propagation of diffusion and sound waves in relativistic fluids. We also
compute the corrections to the scalar (spin-$2$) two-point correlation function
of the third-order stress-energy tensor. Furthermore, as an example of a
non-linear hydrodynamic flow, we calculate the third-order corrections to the
energy density of a boost-invariant Bjorken flow. Finally, we apply our field
theoretic results to the $\mathcal{N}=4$ supersymmetric Yang-Mills fluid at
infinite 't Hooft coupling and infinite number of colours to find the values of
five new linear combinations of the conformal transport coefficients.
| [
{
"created": "Thu, 9 Jul 2015 11:21:36 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jul 2015 18:50:47 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Nov 2015 12:08:29 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Mar 2016 12:12:56 GMT",
"version": "v4"
},
{
"created": "Thu, 5 Oct 2017 13:05:19 GMT",
"version": "v5"
}
] | 2017-10-06 | [
[
"Grozdanov",
"Sašo",
""
],
[
"Kaplis",
"Nikolaos",
""
]
] | Hydrodynamics can be formulated as the gradient expansion of conserved currents in terms of the fundamental fields describing the near-equilibrium fluid flow. In the relativistic case, the Navier-Stokes equations follow from the conservation of the stress-energy tensor to first order in derivatives. In this paper, we go beyond the presently understood second-order hydrodynamics and discuss the systematisation of obtaining the hydrodynamic expansion to an arbitrarily high order. As an example of the algorithm that we present, we fully classify the gradient expansion at third order for neutral fluids in four dimensions, thus finding the most general next-to-leading-order corrections to the relativistic Navier-Stokes equations in curved space-time. In doing so, we list $20$ new transport coefficient candidates in the conformal and $68$ in the non-conformal case. As we do not consider any constraints that could potentially arise from the local entropy current analysis, this is the maximal possible set of neutral third-order transport coefficients. To investigate the physical implications of these new transport coefficients, we obtain the third-order corrections to the linear dispersion relations that describe the propagation of diffusion and sound waves in relativistic fluids. We also compute the corrections to the scalar (spin-$2$) two-point correlation function of the third-order stress-energy tensor. Furthermore, as an example of a non-linear hydrodynamic flow, we calculate the third-order corrections to the energy density of a boost-invariant Bjorken flow. Finally, we apply our field theoretic results to the $\mathcal{N}=4$ supersymmetric Yang-Mills fluid at infinite 't Hooft coupling and infinite number of colours to find the values of five new linear combinations of the conformal transport coefficients. |
1105.1557 | Torsten Asselmeyer-Maluga | T. Asselmeyer-Maluga and J.Krol | Topological quantum D-branes and wild embeddings from exotic smooth R^4 | 18 pages, 1 figure | Int. J. Mod. Phys. A 26 (2011) 3421-3437 | 10.1142/S0217751X11053857 | null | hep-th gr-qc math-ph math.GT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the next step of uncovering the relation between string theory and
exotic smooth R^4. Exotic smoothness of R^4 is correlated with D6 brane charges
in IIA string theory. We construct wild embeddings of spheres and relate them
to a class of topological quantum Dp-branes as well to KK theory. These branes
emerge when there are non-trivial NS-NS H-fluxes where the topological classes
are determined by wild embeddings S^2 -> S^3. Then wild embeddings of higher
dimensional $p$-complexes into S^n correspond to Dp-branes. These wild
embeddings as constructed by using gropes are basic objects to understand
exotic smoothness as well Casson handles. Next we build C*-algebras
corresponding to the embeddings. Finally we consider topological quantum
D-branes as those which emerge from wild embeddings in question. We construct
an action for these quantum D-branes and show that the classical limit agrees
with the Born-Infeld action such that flat branes = usual embeddings.
| [
{
"created": "Sun, 8 May 2011 21:43:54 GMT",
"version": "v1"
}
] | 2012-02-28 | [
[
"Asselmeyer-Maluga",
"T.",
""
],
[
"Krol",
"J.",
""
]
] | This is the next step of uncovering the relation between string theory and exotic smooth R^4. Exotic smoothness of R^4 is correlated with D6 brane charges in IIA string theory. We construct wild embeddings of spheres and relate them to a class of topological quantum Dp-branes as well to KK theory. These branes emerge when there are non-trivial NS-NS H-fluxes where the topological classes are determined by wild embeddings S^2 -> S^3. Then wild embeddings of higher dimensional $p$-complexes into S^n correspond to Dp-branes. These wild embeddings as constructed by using gropes are basic objects to understand exotic smoothness as well Casson handles. Next we build C*-algebras corresponding to the embeddings. Finally we consider topological quantum D-branes as those which emerge from wild embeddings in question. We construct an action for these quantum D-branes and show that the classical limit agrees with the Born-Infeld action such that flat branes = usual embeddings. |
2404.01380 | Indranil Halder | Indranil Halder, Cumrun Vafa, Kai Xu | Black Hole Entropy for M-theory on the Quintic Threefold via F-theoretic
Strings | 16 pages | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Microscopic black hole entropy calculations in string theory usually proceeds
through identifying them as wrapped strings in one higher dimension. For
M-theory on elliptic Calabi-Yau threefolds this proceeds via its relation to
F-theory in one higher dimension. Here we show how this method can be extended
to M-theory on non-elliptic Calabi-Yau threefolds such as the quintic via
conifold transition to elliptic threefolds. This leads to the computation of
the black hole entropy through elliptic genera of the strings. However the
Cardy formula for the computation of the black hole entropy of these strings
fails because the relevant momentum excitations on the string are much smaller
than the central charge of the strings. We show how the black hole attractor
entropy formula leads to predicting corrections to the Cardy formula in this
regime.
| [
{
"created": "Mon, 1 Apr 2024 18:00:02 GMT",
"version": "v1"
}
] | 2024-04-03 | [
[
"Halder",
"Indranil",
""
],
[
"Vafa",
"Cumrun",
""
],
[
"Xu",
"Kai",
""
]
] | Microscopic black hole entropy calculations in string theory usually proceeds through identifying them as wrapped strings in one higher dimension. For M-theory on elliptic Calabi-Yau threefolds this proceeds via its relation to F-theory in one higher dimension. Here we show how this method can be extended to M-theory on non-elliptic Calabi-Yau threefolds such as the quintic via conifold transition to elliptic threefolds. This leads to the computation of the black hole entropy through elliptic genera of the strings. However the Cardy formula for the computation of the black hole entropy of these strings fails because the relevant momentum excitations on the string are much smaller than the central charge of the strings. We show how the black hole attractor entropy formula leads to predicting corrections to the Cardy formula in this regime. |
2403.04528 | Jie Gu | Jie Gu, Gengbei Guo | Resurgent Wilson loops in refined topological string | 39 pages, 26 figures | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the resurgent structures of Wilson loops in refined topological
string theory. We argue that the Borel singularities should be integral
periods, and that the associated Stokes constants are refined Donaldson-Thomas
invariants, just like the free energies, except that the Borel singularities
cannot be local flat coordinates. We also solve the non-perturbative series in
closed form from the holomorphic anomaly equations for the refined Wilson
loops. We illustrate these results with the examples of local P^2 and local P^1
x P^1.
| [
{
"created": "Thu, 7 Mar 2024 14:27:59 GMT",
"version": "v1"
}
] | 2024-03-08 | [
[
"Gu",
"Jie",
""
],
[
"Guo",
"Gengbei",
""
]
] | We study the resurgent structures of Wilson loops in refined topological string theory. We argue that the Borel singularities should be integral periods, and that the associated Stokes constants are refined Donaldson-Thomas invariants, just like the free energies, except that the Borel singularities cannot be local flat coordinates. We also solve the non-perturbative series in closed form from the holomorphic anomaly equations for the refined Wilson loops. We illustrate these results with the examples of local P^2 and local P^1 x P^1. |
1312.7017 | Arunabha Saha | Abhishek Chowdhury and Arunabha Saha | Phase Structure of Higher Spin Black Holes | References added, Conclusions written in better manner, overall
exposition improved, version accepted in JHEP | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the study of the phase structure of higher spin black holes
carried out in arXiv$:1210.0284$ using the "canonical formalism". In particular
we study the low as well as high temperature regimes. We show that the
Hawking-Page transition takes place in the low temperature regime. The
thermodynamically favoured phase changes from conical surplus to black holes
and then again to conical surplus as we increase temperature. We then show that
in the high temperature regime the diagonal embedding gives the appropriate
description. We also give a map between the parameters of the theory near the
IR and UV fixed points. This makes the "good" solutions near one end map to the
"bad" solutions near the other end and vice versa.
| [
{
"created": "Wed, 25 Dec 2013 20:35:06 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 2015 07:58:51 GMT",
"version": "v2"
}
] | 2015-02-13 | [
[
"Chowdhury",
"Abhishek",
""
],
[
"Saha",
"Arunabha",
""
]
] | We revisit the study of the phase structure of higher spin black holes carried out in arXiv$:1210.0284$ using the "canonical formalism". In particular we study the low as well as high temperature regimes. We show that the Hawking-Page transition takes place in the low temperature regime. The thermodynamically favoured phase changes from conical surplus to black holes and then again to conical surplus as we increase temperature. We then show that in the high temperature regime the diagonal embedding gives the appropriate description. We also give a map between the parameters of the theory near the IR and UV fixed points. This makes the "good" solutions near one end map to the "bad" solutions near the other end and vice versa. |
1407.0303 | Ben Hoare | Ben Hoare, Antonio Pittelli, Alessandro Torrielli | Integrable S-matrices, massive and massless modes and the AdS_2 x S^2
superstring | 33 pages; v2: 37 pages, clarifications, including on the issue of
double crossing, and comments added, version to appear in JHEP | null | 10.1007/JHEP11(2014)051 | HU-EP-14/28, DMUS--MP--14/05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the exact S-matrix for the scattering of particular representations
of the centrally-extended psu(1|1)^2 Lie superalgebra, conjectured to be
related to the massive modes of the light-cone gauge string theory on AdS_2 x
S^2 x T^6. The S-matrix consists of two copies of a centrally-extended psu(1|1)
invariant S-matrix and is in agreement with the tree-level result following
from perturbation theory. Although the overall factor is left unfixed, the
constraints following from crossing symmetry and unitarity are given. The
scattering involves long representations of the symmetry algebra, and the
relevant representation theory is studied in detail. We also discuss Yangian
symmetry and find it has a standard form for a particular limit of the
aforementioned representations. This has a natural interpretation as the
massless limit, and we investigate the corresponding limits of the massive
S-matrix. Under the assumption that the massless modes of the light-cone gauge
string theory transform in these limiting representations, the resulting
S-matrices would provide the building blocks for the full S-matrix. Finally,
some brief comments are given on the Bethe ansatz.
| [
{
"created": "Tue, 1 Jul 2014 16:17:34 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Nov 2014 08:09:19 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Hoare",
"Ben",
""
],
[
"Pittelli",
"Antonio",
""
],
[
"Torrielli",
"Alessandro",
""
]
] | We derive the exact S-matrix for the scattering of particular representations of the centrally-extended psu(1|1)^2 Lie superalgebra, conjectured to be related to the massive modes of the light-cone gauge string theory on AdS_2 x S^2 x T^6. The S-matrix consists of two copies of a centrally-extended psu(1|1) invariant S-matrix and is in agreement with the tree-level result following from perturbation theory. Although the overall factor is left unfixed, the constraints following from crossing symmetry and unitarity are given. The scattering involves long representations of the symmetry algebra, and the relevant representation theory is studied in detail. We also discuss Yangian symmetry and find it has a standard form for a particular limit of the aforementioned representations. This has a natural interpretation as the massless limit, and we investigate the corresponding limits of the massive S-matrix. Under the assumption that the massless modes of the light-cone gauge string theory transform in these limiting representations, the resulting S-matrices would provide the building blocks for the full S-matrix. Finally, some brief comments are given on the Bethe ansatz. |
hep-th/9406068 | Antti Niemi | A. J. Niemi and K. Palo | Equivariant Morse theory and quantum integrability | 37 pages | null | null | UU-ITP 10/94 | hep-th math.DG | null | We investigate an equivariant generalization of Morse theory for a general
class of integrable models. In particular, we derive equivariant versions of
the classical Poincar\'e-Hopf and Gauss-Bonnet-Chern theorems and present the
corresponding path integral generalizations. Our approach is based on
equivariant cohomology and localization techniques, and is closely related to
the formalism developed by Matthai and Quillen in their approach to Gaussian
shaped Thom forms.
| [
{
"created": "Mon, 13 Jun 1994 02:14:06 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Niemi",
"A. J.",
""
],
[
"Palo",
"K.",
""
]
] | We investigate an equivariant generalization of Morse theory for a general class of integrable models. In particular, we derive equivariant versions of the classical Poincar\'e-Hopf and Gauss-Bonnet-Chern theorems and present the corresponding path integral generalizations. Our approach is based on equivariant cohomology and localization techniques, and is closely related to the formalism developed by Matthai and Quillen in their approach to Gaussian shaped Thom forms. |
hep-th/0204251 | Clovis Wotzasek | R. Menezes, J. R. S. Nascimento, R. F. Ribeiro, and C. Wotzasek | On the dual equivalence of the self-dual and topologically massive
$B\wedge F$ models coupled to dynamical fermionic matter | Latex file, 20 pages | Phys.Lett.B537:321-328,2002 | 10.1016/S0370-2693(02)01933-0 | null | hep-th | null | We study the equivalence between the $B\wedge F$ self-dual ($SD_{B\wedge F}$)
and the $B\wedge F$ topologically massive ($TM_{B\wedge F}$) models including
the coupling to dynamical, U(1) charged fermionic matter. This is done through
an iterative procedure of gauge embedding that produces the dual mapping. In
the interactive cases, the minimal coupling adopted for both vector and tensor
fields in the self-dual representation is transformed into a non minimal
magnetic like coupling in the topologically massive representation but with the
currents swapped. It is known that to establish this equivalence a
current-current interaction term is needed to render the matter sector
unchanged. We show that both terms arise naturally from the embedding
procedure.
| [
{
"created": "Mon, 29 Apr 2002 22:57:12 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Menezes",
"R.",
""
],
[
"Nascimento",
"J. R. S.",
""
],
[
"Ribeiro",
"R. F.",
""
],
[
"Wotzasek",
"C.",
""
]
] | We study the equivalence between the $B\wedge F$ self-dual ($SD_{B\wedge F}$) and the $B\wedge F$ topologically massive ($TM_{B\wedge F}$) models including the coupling to dynamical, U(1) charged fermionic matter. This is done through an iterative procedure of gauge embedding that produces the dual mapping. In the interactive cases, the minimal coupling adopted for both vector and tensor fields in the self-dual representation is transformed into a non minimal magnetic like coupling in the topologically massive representation but with the currents swapped. It is known that to establish this equivalence a current-current interaction term is needed to render the matter sector unchanged. We show that both terms arise naturally from the embedding procedure. |
2008.01198 | Daniel Kabat | Daniel Kabat, Gilad Lifschytz | Dressing bulk fields in AdS${}_3$ | LaTeX, one figure, 28 pages | null | 10.1007/JHEP10(2020)189 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a set of CFT operators suitable for reconstructing a charged bulk
scalar field $\phi$ in AdS${}_3$ (dual to an operator ${\cal O}$ of dimension
$\Delta$ in the CFT) in the presence of a conserved spin-$n$ current in the
CFT. One has to sum a tower of smeared non-primary scalars $\partial_{+}^{m}
J^{(m)}$, where $J^{(m)}$ are primaries with twist $\Delta$ and spin $m$ built
from ${\cal O}$ and the current. The coefficients of these operators can be
fixed by demanding that bulk correlators are well-defined: with a simple ansatz
this requirement allows us to calculate bulk correlators directly from the CFT.
They are built from specific polynomials of the kinematic invariants up to a
freedom to make field redefinitions. To order $1/N$ this procedure captures the
dressing of the bulk scalar field by a radial generalized Wilson line.
| [
{
"created": "Mon, 3 Aug 2020 21:07:58 GMT",
"version": "v1"
}
] | 2020-12-02 | [
[
"Kabat",
"Daniel",
""
],
[
"Lifschytz",
"Gilad",
""
]
] | We study a set of CFT operators suitable for reconstructing a charged bulk scalar field $\phi$ in AdS${}_3$ (dual to an operator ${\cal O}$ of dimension $\Delta$ in the CFT) in the presence of a conserved spin-$n$ current in the CFT. One has to sum a tower of smeared non-primary scalars $\partial_{+}^{m} J^{(m)}$, where $J^{(m)}$ are primaries with twist $\Delta$ and spin $m$ built from ${\cal O}$ and the current. The coefficients of these operators can be fixed by demanding that bulk correlators are well-defined: with a simple ansatz this requirement allows us to calculate bulk correlators directly from the CFT. They are built from specific polynomials of the kinematic invariants up to a freedom to make field redefinitions. To order $1/N$ this procedure captures the dressing of the bulk scalar field by a radial generalized Wilson line. |
1208.2293 | M. B. Paranjape | Victor Massart and M. B. Paranjape | Near Zone Dynamical Effects in Gravity | 31 pages, 3 figures, title changed, coauthor added, corrected and
greatly expanded version, accepted version | null | null | UdeM-GPP-TH-12-213, UdeM-GPP-TH-21-288 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dynamical effects in general relativity have been finally, relatively
recently observed by LIGO\cite{2016LRR....19....1A}. To be able to measure
these signals, great care has to be taken to minimize all sources of noise in
the detector. One of the sources of noise is called Newtonian noise. In this
article we present an analysis of the dynamical (time dependent) nature of the
Newtonian noise. In that respect, it is a misnomer to call it Newtonian noise,
the Newtonian theory does not afford any dynamical notion of the gravitational
field. The dynamical aspects of the nature of the Newtonian noise have
heretofore been disregarded as they were considered negligible. However, we
demonstrate that they are indeed not far from the realm of being measurable.
They could be used to validate Einsteinian general relativity or to give
valuable information on the true dynamical nature of gravity. One fundamental
question, for example, is a direct measurement the speed of propagation of
gravitational effects and the verification that it is indeed the same as the
speed of light. We propose a simple laboratory experiment that could affirm or
deny this proposition. We also analyze the possibility of the detection of
large geophysical events, such as earthquakes. We find that large seismic
events seem to be easily observable with the present ensemble of gravitational
wave detectors,. The ensemble of gravitational wave detectors could easily
serve as a system of early warning for otherwise catastrophic seismic events.
| [
{
"created": "Fri, 10 Aug 2012 22:21:05 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Mar 2021 19:50:16 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Mar 2022 05:15:13 GMT",
"version": "v3"
},
{
"created": "Wed, 9 Mar 2022 00:19:32 GMT",
"version": "v4"
}
] | 2022-03-10 | [
[
"Massart",
"Victor",
""
],
[
"Paranjape",
"M. B.",
""
]
] | Dynamical effects in general relativity have been finally, relatively recently observed by LIGO\cite{2016LRR....19....1A}. To be able to measure these signals, great care has to be taken to minimize all sources of noise in the detector. One of the sources of noise is called Newtonian noise. In this article we present an analysis of the dynamical (time dependent) nature of the Newtonian noise. In that respect, it is a misnomer to call it Newtonian noise, the Newtonian theory does not afford any dynamical notion of the gravitational field. The dynamical aspects of the nature of the Newtonian noise have heretofore been disregarded as they were considered negligible. However, we demonstrate that they are indeed not far from the realm of being measurable. They could be used to validate Einsteinian general relativity or to give valuable information on the true dynamical nature of gravity. One fundamental question, for example, is a direct measurement the speed of propagation of gravitational effects and the verification that it is indeed the same as the speed of light. We propose a simple laboratory experiment that could affirm or deny this proposition. We also analyze the possibility of the detection of large geophysical events, such as earthquakes. We find that large seismic events seem to be easily observable with the present ensemble of gravitational wave detectors,. The ensemble of gravitational wave detectors could easily serve as a system of early warning for otherwise catastrophic seismic events. |
hep-th/0011071 | Franco Pezzella | F. Cuomo, R. Marotta, F. Nicodemi, R. Pettorino, F. Pezzella and G.
Sabella | Off-shell tachyon amplitudes: analyticity and projective invariance | 17 pages | Mod.Phys.Lett. A16 (2001) 1035-1048 | 10.1142/S0217732301004212 | DSF-32/2000, NORDITA-2000/94 HE | hep-th | null | We compute off-shell three- and four-tachyon amplitudes at tree level by
using a prescription based on the requirement of projective invariance. In
particular we show that the off-shell four-tachyon amplitude can be put in the
same form as the corresponding on-shell one, exhibiting therefore the same
analyticity properties. This is shown both for the bosonic and the fermionic
string. The result obtained in the latter case can be extended to the off-shell
four-tachyon amplitude in type 0 theory.
| [
{
"created": "Thu, 9 Nov 2000 13:36:28 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Cuomo",
"F.",
""
],
[
"Marotta",
"R.",
""
],
[
"Nicodemi",
"F.",
""
],
[
"Pettorino",
"R.",
""
],
[
"Pezzella",
"F.",
""
],
[
"Sabella",
"G.",
""
]
] | We compute off-shell three- and four-tachyon amplitudes at tree level by using a prescription based on the requirement of projective invariance. In particular we show that the off-shell four-tachyon amplitude can be put in the same form as the corresponding on-shell one, exhibiting therefore the same analyticity properties. This is shown both for the bosonic and the fermionic string. The result obtained in the latter case can be extended to the off-shell four-tachyon amplitude in type 0 theory. |
1705.10329 | Dorin Weissman | Jacob Sonnenschein and Dorin Weissman | The decay width of stringy hadrons | v1: 98 pages / v2: minor revisions, references added, 100 pages (41
figures) / v3: final published version, minor corrections, 100 pages | Nucl.Phys. B927 (2018) 368-454 | 10.1016/j.nuclphysb.2017.12.017 | null | hep-th hep-ex hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we further develop a string model of hadrons by computing their
strong decay widths and comparing them to experiment. The main decay mechanism
is that of a string splitting into two strings. The corresponding total decay
width behaves as $\Gamma=\frac\pi2 ATL$ where $T$ and $L$ are the tension and
length of the string and $A$ is a dimensionless universal constant. We show
that this result holds for a bosonic string not only in the critical dimension.
The partial width of a given decay mode is given by
$\Gamma_i/\Gamma=\Phi_i\exp(-2\pi Cm_{sep}^2/T)$ where $\Phi_i$ is a phase
space factor, $m_{sep}$ is the mass of the "quark" and "antiquark" created at
the splitting point, and $C$ is a dimensionless coefficient close to unity.
Based on the spectra of hadrons we observe that their (modified) Regge
trajectories are characterized by a negative intercept. This implies a
repulsive Casimir force that gives the string a "zero point length". We fit the
theoretical decay width to experimental data for mesons on the trajectories of
$\rho$, $\omega$, $\pi$, $\eta$, $K^*$, $\phi$, $D$, and $D^*_s$, and of the
baryons $N$, $\Delta$, $\Lambda$, and $\Sigma$. We examine both the linearity
in $L$ and the exponential suppression factor. The linearity was found to agree
with the data well for mesons but less for baryons. The extracted coefficient
for mesons $A=0.095\pm0.015$ is indeed quite universal. The exponential
suppression was applied to both strong and radiative decays. We discuss the
relation with string fragmentation and jet formation. We extract the
quark-diquark structure of baryons from their decays. A stringy mechanism for
Zweig suppressed decays of quarkonia is proposed and is shown to reproduce the
decay width of $\Upsilon$ states. The dependence of the width on spin and
flavor symmetry is discussed. We further apply this model to the decays of
glueballs and exotic hadrons.
| [
{
"created": "Mon, 29 May 2017 18:00:08 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2017 18:00:11 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Jan 2018 20:17:52 GMT",
"version": "v3"
}
] | 2018-01-17 | [
[
"Sonnenschein",
"Jacob",
""
],
[
"Weissman",
"Dorin",
""
]
] | In this paper we further develop a string model of hadrons by computing their strong decay widths and comparing them to experiment. The main decay mechanism is that of a string splitting into two strings. The corresponding total decay width behaves as $\Gamma=\frac\pi2 ATL$ where $T$ and $L$ are the tension and length of the string and $A$ is a dimensionless universal constant. We show that this result holds for a bosonic string not only in the critical dimension. The partial width of a given decay mode is given by $\Gamma_i/\Gamma=\Phi_i\exp(-2\pi Cm_{sep}^2/T)$ where $\Phi_i$ is a phase space factor, $m_{sep}$ is the mass of the "quark" and "antiquark" created at the splitting point, and $C$ is a dimensionless coefficient close to unity. Based on the spectra of hadrons we observe that their (modified) Regge trajectories are characterized by a negative intercept. This implies a repulsive Casimir force that gives the string a "zero point length". We fit the theoretical decay width to experimental data for mesons on the trajectories of $\rho$, $\omega$, $\pi$, $\eta$, $K^*$, $\phi$, $D$, and $D^*_s$, and of the baryons $N$, $\Delta$, $\Lambda$, and $\Sigma$. We examine both the linearity in $L$ and the exponential suppression factor. The linearity was found to agree with the data well for mesons but less for baryons. The extracted coefficient for mesons $A=0.095\pm0.015$ is indeed quite universal. The exponential suppression was applied to both strong and radiative decays. We discuss the relation with string fragmentation and jet formation. We extract the quark-diquark structure of baryons from their decays. A stringy mechanism for Zweig suppressed decays of quarkonia is proposed and is shown to reproduce the decay width of $\Upsilon$ states. The dependence of the width on spin and flavor symmetry is discussed. We further apply this model to the decays of glueballs and exotic hadrons. |
0809.1085 | Charles B. Thorn | Charles B. Thorn | Nonabelian D-branes, Open Strings, and Gauge Theory | 13 pages, 1 figure | Phys.Rev.D78:106008,2008 | 10.1103/PhysRevD.78.106008 | UFIFT-HEP-08-15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There is a subtle difference between the open string dynamics determined by
the original dual resonance models and that determined by D-brane constructions
within critical closed string theory. For instance, in contrast to the former,
the latter have massless scalars in addition to the massless gluon shared by
both. We introduce and explain the concept of nonabelian D-branes which
illuminates this distinction. We employ this concept to offer new possibilities
for string duals for large N QCD (pure Yang-Mills gauge theory).
| [
{
"created": "Fri, 5 Sep 2008 19:20:38 GMT",
"version": "v1"
}
] | 2009-02-23 | [
[
"Thorn",
"Charles B.",
""
]
] | There is a subtle difference between the open string dynamics determined by the original dual resonance models and that determined by D-brane constructions within critical closed string theory. For instance, in contrast to the former, the latter have massless scalars in addition to the massless gluon shared by both. We introduce and explain the concept of nonabelian D-branes which illuminates this distinction. We employ this concept to offer new possibilities for string duals for large N QCD (pure Yang-Mills gauge theory). |
1909.00540 | Eloy Ay\'on-Beato | Eloy Ay\'on-Beato, Fabrizio Canfora, Marcela Lagos, Julio Oliva, Aldo
Vera | Analytic self-gravitating $4$-Baryons, traversable NUT-AdS wormholes,
flat space-time multi-Skyrmions at finite volume and a novel transition in
the $SU(3)$-Skyrme model | 9 pages, 3 figures. Clarifications added, typos corrected. Accepted
for publication in EPJC | null | 10.1140/epjc/s10052-020-7926-6 | null | hep-th gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the first analytic self-gravitating Skyrmions with higher Baryon
charge in four dimensions for the $SU(3)$-Skyrme-Einstein-$\Lambda$ theory by
combining the generalized hedgehog ansatz with the approach developed by
Balachandran et al. to describe the first (numerical) example of a non-embedded
solution. These are genuine $SU(3)$ analytic solutions instead of trivial
embeddings of $SU(2)$ into $SU(3)$ and its geometry is that of a Bianchi IX
Universe. The Skyrme ansatz is chosen in such a way that the Skyrme field
equations are identically satisfied in the sector with Baryon charge 4. The
field equations reduce to a dynamical system for the three Bianchi IX scale
factors. Particular solutions are explicitly analyzed. Traversable wormholes
with NUT-AdS asymptotics supported by a topologically non-trivial $SU(3)$-sigma
soliton are also constructed. The self-gravitating solutions admit also a
suitable flat limit giving rise to Skyrmions of charge 4 confined in a box of
finite volume maintaining the integrability of the $SU(3)$ Skyrme field
equations. This formalism discloses a novel transition at finite Baryon density
arising from the competition between embedded and non-embedded solutions in
which the non-embedded solutions prevail at high density while are suppressed
at low densities.
| [
{
"created": "Mon, 2 Sep 2019 04:26:51 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Apr 2020 00:56:58 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"Ayón-Beato",
"Eloy",
""
],
[
"Canfora",
"Fabrizio",
""
],
[
"Lagos",
"Marcela",
""
],
[
"Oliva",
"Julio",
""
],
[
"Vera",
"Aldo",
""
]
] | We construct the first analytic self-gravitating Skyrmions with higher Baryon charge in four dimensions for the $SU(3)$-Skyrme-Einstein-$\Lambda$ theory by combining the generalized hedgehog ansatz with the approach developed by Balachandran et al. to describe the first (numerical) example of a non-embedded solution. These are genuine $SU(3)$ analytic solutions instead of trivial embeddings of $SU(2)$ into $SU(3)$ and its geometry is that of a Bianchi IX Universe. The Skyrme ansatz is chosen in such a way that the Skyrme field equations are identically satisfied in the sector with Baryon charge 4. The field equations reduce to a dynamical system for the three Bianchi IX scale factors. Particular solutions are explicitly analyzed. Traversable wormholes with NUT-AdS asymptotics supported by a topologically non-trivial $SU(3)$-sigma soliton are also constructed. The self-gravitating solutions admit also a suitable flat limit giving rise to Skyrmions of charge 4 confined in a box of finite volume maintaining the integrability of the $SU(3)$ Skyrme field equations. This formalism discloses a novel transition at finite Baryon density arising from the competition between embedded and non-embedded solutions in which the non-embedded solutions prevail at high density while are suppressed at low densities. |
hep-th/0303256 | Masashi Hamanaka | Masashi Hamanaka | Noncommutative Solitons and D-branes | 117 pages, 22 figures, LaTeX; This is based on my Ph.D thesis | null | null | UT-03-11 | hep-th hep-lat hep-ph math-ph math.MP nlin.SI | null | This thesis is designed for a comprehensive review of noncommutative (BPS)
solitons with applications to D-brane dynamics including our works. We focus on
noncommutative instantons and monopoles and study various aspects of the exact
solutions by using Atiyah-Drinfeld-Hitchin-Manin (ADHM) and Nahm constructions.
Finally we propose noncommutative extensions of integrable systems and soliton
theories in lower dimensions in collaboration with Kouichi Toda, which would
pioneer a new study area of integrable systems. Appendix is devoted to a brief
and systematic review of formal aspects of ADHM/Nahm construction and Nahm
transformation on commutative spaces. This article is also a step to a
comprehensive review of ADHM/Nahm construction on both commutative and
noncommutative spaces. Comments are welcome.
| [
{
"created": "Mon, 31 Mar 2003 13:45:50 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2003 22:56:29 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Oct 2005 16:47:40 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Hamanaka",
"Masashi",
""
]
] | This thesis is designed for a comprehensive review of noncommutative (BPS) solitons with applications to D-brane dynamics including our works. We focus on noncommutative instantons and monopoles and study various aspects of the exact solutions by using Atiyah-Drinfeld-Hitchin-Manin (ADHM) and Nahm constructions. Finally we propose noncommutative extensions of integrable systems and soliton theories in lower dimensions in collaboration with Kouichi Toda, which would pioneer a new study area of integrable systems. Appendix is devoted to a brief and systematic review of formal aspects of ADHM/Nahm construction and Nahm transformation on commutative spaces. This article is also a step to a comprehensive review of ADHM/Nahm construction on both commutative and noncommutative spaces. Comments are welcome. |
1703.02803 | Kevin Goldstein | Kevin Goldstein, James Junior Mashiyane | Ineffective Higher Derivative Black Hole Hair | 31 pages, 14 figures, v2: references added, v3: some typos corrected,
clarifications added, v4: minor typos finally corrected | Phys. Rev. D 97, 024015 (2018) | 10.1103/PhysRevD.97.024015 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by possibility that the Schwarzschild black hole may not be the
unique spherically symmetric vacuum solution to generalisations of general
relativity, we consider black holes in pure fourth order higher derivative
gravity treated as an effective theory. Such solutions may be of interest in
addressing the issue of higher derivative hair or during the later stages of
black hole evaporation. Non-Schwarzschild solutions have been studied but we
have put earlier results on a firmer footing by finding a systematic asymptotic
expansion for the black holes and matching them with known numerical solutions
obtained by integrating out from the near horizon region. These asymptotic
expansions can be cast in the form of trans-series expansions which we
conjecture will be a generic feature of non-Schwarzschild higher derivative
black holes. Excitingly we find a new branch of solutions with lower free
energy than the Schwarzschild solution, but as found in earlier work, solutions
only seem to exist for black holes with large curvatures meaning that one
should not generically neglect even higher derivative corrections. This
suggests that one effectively recovers the non-hair theorems in this context.
| [
{
"created": "Wed, 8 Mar 2017 12:08:59 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Jun 2017 09:25:26 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Dec 2017 07:20:28 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Jun 2018 14:46:02 GMT",
"version": "v4"
}
] | 2018-06-12 | [
[
"Goldstein",
"Kevin",
""
],
[
"Mashiyane",
"James Junior",
""
]
] | Inspired by possibility that the Schwarzschild black hole may not be the unique spherically symmetric vacuum solution to generalisations of general relativity, we consider black holes in pure fourth order higher derivative gravity treated as an effective theory. Such solutions may be of interest in addressing the issue of higher derivative hair or during the later stages of black hole evaporation. Non-Schwarzschild solutions have been studied but we have put earlier results on a firmer footing by finding a systematic asymptotic expansion for the black holes and matching them with known numerical solutions obtained by integrating out from the near horizon region. These asymptotic expansions can be cast in the form of trans-series expansions which we conjecture will be a generic feature of non-Schwarzschild higher derivative black holes. Excitingly we find a new branch of solutions with lower free energy than the Schwarzschild solution, but as found in earlier work, solutions only seem to exist for black holes with large curvatures meaning that one should not generically neglect even higher derivative corrections. This suggests that one effectively recovers the non-hair theorems in this context. |
2309.00224 | Yun Zhi Du | Yun-Zhi Du, Huai-Fan Li, Yu-Bo Ma, Qiang Gu | Topology and phase transition for EPYM AdS black hole in thermal
potential | null | Nucl. Phys. B 1006 (2024) 116641 | 10.1016/j.nuclphysb.2024.116641 | Nucl. Phys. B 1006 (2024) 116641 | hep-th | http://creativecommons.org/licenses/by/4.0/ | As we all know the local topological properties of thermodynamical systems
can be expressed by the winding numbers as the defects. The topological number
that is the sum of all winding numbers can be used to classify the global
topological nature of thermodynamical systems. In this paper, we construct a
kind of thermal potential and then put the Einstein-power-Yang-Mills AdS black
hole in it. Through the analysis of the geometric characteristics of the
thermal potential based on the complex analysis we find the topological number
is an invariant that is same as shown in the way of the Duan's $\phi$-mapping
topological current [Sci. Sin. 9, 1072 (1979)]. Furthermore, we adopt the
Kramer's escape rate method to investigate the intensity of the first-order
phase transition.
| [
{
"created": "Fri, 1 Sep 2023 02:58:02 GMT",
"version": "v1"
}
] | 2024-08-02 | [
[
"Du",
"Yun-Zhi",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Ma",
"Yu-Bo",
""
],
[
"Gu",
"Qiang",
""
]
] | As we all know the local topological properties of thermodynamical systems can be expressed by the winding numbers as the defects. The topological number that is the sum of all winding numbers can be used to classify the global topological nature of thermodynamical systems. In this paper, we construct a kind of thermal potential and then put the Einstein-power-Yang-Mills AdS black hole in it. Through the analysis of the geometric characteristics of the thermal potential based on the complex analysis we find the topological number is an invariant that is same as shown in the way of the Duan's $\phi$-mapping topological current [Sci. Sin. 9, 1072 (1979)]. Furthermore, we adopt the Kramer's escape rate method to investigate the intensity of the first-order phase transition. |
1912.02218 | Florent Baume | Florent Baume, Fernando Marchesano, and Max Wiesner | Instanton Corrections and Emergent Strings | 59 pages, 2 figures; minor corrections, published version | null | 10.1007/JHEP04(2020)174 | IFT-UAM/CSIC-19-161 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study limits of infinite distance in the moduli space of 4d $\mathcal{N} =
2$ string compactifications, in which instanton effects dominate. We first
consider trajectories in the hypermultiplet moduli space of type IIB Calabi-Yau
compactifications. We observe a correspondence between towers of D-brane
instantons and D-brane 4d strings, such that the lighter the string the more
relevant the instanton effects are. The dominant instantons modify the
classical trajectory such that the lightest D-brane string becomes tensionless
even faster, while the other strings are prevented to go below the fundamental
string tension. This lightest string is dual to a fundamental type IIB string
and realises the Emergent String Conjecture. We also consider the vector
multiplet moduli space of type I string theory on $K3 \times T^2$ , where
quantum corrections can also become significant. Naively, we only find
trajectories that correspond to decompactification limits, in apparent
contradiction with the picture obtained in some dual setup.
| [
{
"created": "Wed, 4 Dec 2019 19:13:59 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Apr 2020 14:39:17 GMT",
"version": "v2"
}
] | 2020-05-20 | [
[
"Baume",
"Florent",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Wiesner",
"Max",
""
]
] | We study limits of infinite distance in the moduli space of 4d $\mathcal{N} = 2$ string compactifications, in which instanton effects dominate. We first consider trajectories in the hypermultiplet moduli space of type IIB Calabi-Yau compactifications. We observe a correspondence between towers of D-brane instantons and D-brane 4d strings, such that the lighter the string the more relevant the instanton effects are. The dominant instantons modify the classical trajectory such that the lightest D-brane string becomes tensionless even faster, while the other strings are prevented to go below the fundamental string tension. This lightest string is dual to a fundamental type IIB string and realises the Emergent String Conjecture. We also consider the vector multiplet moduli space of type I string theory on $K3 \times T^2$ , where quantum corrections can also become significant. Naively, we only find trajectories that correspond to decompactification limits, in apparent contradiction with the picture obtained in some dual setup. |
hep-th/0012185 | Saharian Aram | Aram A. Saharian (Yerevan State University, Armenia) | Scalar Casimir effect for D-dimensional spherically symmetric Robin
boundaries | 29 pages, 2 EPS figures, figures replaced, typos corrected | Phys.Rev. D63 (2001) 125007 | 10.1103/PhysRevD.63.125007 | null | hep-th | null | The vacuum expectation values for the energy-momentum tensor of a massive
scalar field with general curvature coupling and obeying the Robin boundary
condition on spherically symmetric boundaries in D-dimensional space are
investigated. The expressions are derived for the regularized vacuum energy
density, radial and azimuthal stress components (i) inside and outside a single
spherical surface and (ii) in the intermediate region between two concentric
spheres. Regularization procedure is carried out by making use of the
generalized Abel-Plana formula for the series over zeros of cylinder functions.
Asymptotic behavior of the vacuum densities near the sphere and at large
distances is investigated. A decomposition of the Casimir energy into volumic
and surface parts is provided for both cases (i) and (ii). We show that the
mode sum energy, evaluated as a sum of the zero-point energies for each normal
mode of frequency, and the volume integral of the energy density in general are
different, and argue that this difference is due to the existence of an
additional surface energy contribution.
| [
{
"created": "Wed, 20 Dec 2000 09:42:52 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2001 05:12:33 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Saharian",
"Aram A.",
"",
"Yerevan State University, Armenia"
]
] | The vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on spherically symmetric boundaries in D-dimensional space are investigated. The expressions are derived for the regularized vacuum energy density, radial and azimuthal stress components (i) inside and outside a single spherical surface and (ii) in the intermediate region between two concentric spheres. Regularization procedure is carried out by making use of the generalized Abel-Plana formula for the series over zeros of cylinder functions. Asymptotic behavior of the vacuum densities near the sphere and at large distances is investigated. A decomposition of the Casimir energy into volumic and surface parts is provided for both cases (i) and (ii). We show that the mode sum energy, evaluated as a sum of the zero-point energies for each normal mode of frequency, and the volume integral of the energy density in general are different, and argue that this difference is due to the existence of an additional surface energy contribution. |
1304.7742 | Saul Ramos-Sanchez | Maximilian Fischer, Saul Ramos-Sanchez, Patrick K.S. Vaudrevange | Heterotic non-Abelian orbifolds | 42 pages, 3 tables; v2: matches JHEP version | null | 10.1007/JHEP07(2013)080 | DESY-13-075, TUM-HEP 887/13, FLAVOUR(267104)-ERC-42 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform the first systematic analysis of particle spectra obtained from
heterotic string compactifications on non-Abelian toroidal orbifolds. After
developing a new technique to compute the particle spectrum in the case of
standard embedding based on higher dimensional supersymmetry, we compute the
Hodge numbers for all recently classified 331 non-Abelian orbifold geometries
which yield N=1 supersymmetry for heterotic compactifications. Surprisingly,
most Hodge numbers follow the empiric pattern h^(1,1) - h^(2,1) = 0 mod 6,
which might be related to the number of three standard model generations.
Furthermore, we study the fundamental groups in order to identify the
possibilities for non-local gauge symmetry breaking. Three examples are
discussed in detail: the simplest non-Abelian orbifold S_3 and two more
elaborate examples, T_7 and \Delta(27), which have only one untwisted Kaehler
and no untwisted complex structure modulus. Such models might be especially
interesting in the context of no-scale supergravity. Finally, we briefly
discuss the case of orbifolds with vanishing Euler numbers in the context of
enhanced (spontaneously broken) supersymmetry.
| [
{
"created": "Mon, 29 Apr 2013 18:58:55 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jun 2013 06:27:40 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Fischer",
"Maximilian",
""
],
[
"Ramos-Sanchez",
"Saul",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
]
] | We perform the first systematic analysis of particle spectra obtained from heterotic string compactifications on non-Abelian toroidal orbifolds. After developing a new technique to compute the particle spectrum in the case of standard embedding based on higher dimensional supersymmetry, we compute the Hodge numbers for all recently classified 331 non-Abelian orbifold geometries which yield N=1 supersymmetry for heterotic compactifications. Surprisingly, most Hodge numbers follow the empiric pattern h^(1,1) - h^(2,1) = 0 mod 6, which might be related to the number of three standard model generations. Furthermore, we study the fundamental groups in order to identify the possibilities for non-local gauge symmetry breaking. Three examples are discussed in detail: the simplest non-Abelian orbifold S_3 and two more elaborate examples, T_7 and \Delta(27), which have only one untwisted Kaehler and no untwisted complex structure modulus. Such models might be especially interesting in the context of no-scale supergravity. Finally, we briefly discuss the case of orbifolds with vanishing Euler numbers in the context of enhanced (spontaneously broken) supersymmetry. |
2106.03625 | Takanao Tsuyuki | Takanao Tsuyuki | Minkowski spacetime and non-Ricci-flat compactification in heterotic
supergravity | 9 pages, v2: published version | Phys. Rev. D 104, 066009 (2021) | 10.1103/PhysRevD.104.066009 | KU-PH-029 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We compactify the ten-dimensional spacetime in heterotic supergravity leaving
four-dimensional Minkowski spacetime. We search for nonsupersymmetric,
non-Ricci-flat solutions of the equations of motion with the quadratic
curvature term. By assuming that the extradimensional spaces are products of
2-manifolds, three types of solutions are found. They are $S^2\times T^2 \times
H^2/\Gamma$, $S^2\times H^2/\Gamma \times H^2/\Gamma$, and $S^2\times S^2
\times H^2/\Gamma$, where $H^2/\Gamma$ denotes a compact hyperbolic manifold.
The metrics can be written explicitly, and they can be applied to
phenomenology.
| [
{
"created": "Mon, 7 Jun 2021 13:54:10 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Sep 2021 02:10:25 GMT",
"version": "v2"
}
] | 2021-09-10 | [
[
"Tsuyuki",
"Takanao",
""
]
] | We compactify the ten-dimensional spacetime in heterotic supergravity leaving four-dimensional Minkowski spacetime. We search for nonsupersymmetric, non-Ricci-flat solutions of the equations of motion with the quadratic curvature term. By assuming that the extradimensional spaces are products of 2-manifolds, three types of solutions are found. They are $S^2\times T^2 \times H^2/\Gamma$, $S^2\times H^2/\Gamma \times H^2/\Gamma$, and $S^2\times S^2 \times H^2/\Gamma$, where $H^2/\Gamma$ denotes a compact hyperbolic manifold. The metrics can be written explicitly, and they can be applied to phenomenology. |
1608.02963 | Konstantin Zarembo | Konstantin Zarembo | Localization and AdS/CFT Correspondence | This is a contribution to the review volume `Localization techniques
in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17
Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be
downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or
http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf | null | 10.1088/1751-8121/aa585b | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An interplay between localization and holography is reviewed with the
emphasis on the AdS_5/CFT_4 correspondence.
| [
{
"created": "Tue, 9 Aug 2016 20:01:48 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Aug 2016 14:22:35 GMT",
"version": "v2"
},
{
"created": "Sat, 15 Oct 2016 17:52:59 GMT",
"version": "v3"
}
] | 2017-10-25 | [
[
"Zarembo",
"Konstantin",
""
]
] | An interplay between localization and holography is reviewed with the emphasis on the AdS_5/CFT_4 correspondence. |
1302.5425 | Daniel Persson | Matthias R. Gaberdiel, Daniel Persson, Roberto Volpato | Generalised Moonshine and Holomorphic Orbifolds | Contribution to the Proceedings of String Math 2012; 15 pages | null | null | null | hep-th math.NT math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Generalised moonshine is reviewed from the point of view of holomorphic
orbifolds, putting special emphasis on the role of the third cohomology group
H^3(G, U(1)) in characterising consistent constructions. These ideas are then
applied to the case of Mathieu moonshine, i.e. the recently discovered
connection between the largest Mathieu group M_24 and the elliptic genus of K3.
In particular, we find a complete list of twisted twining genera whose modular
properties are controlled by a class in H^3(M_24, U(1)), as expected from
general orbifold considerations.
| [
{
"created": "Thu, 21 Feb 2013 21:00:05 GMT",
"version": "v1"
}
] | 2013-02-27 | [
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Persson",
"Daniel",
""
],
[
"Volpato",
"Roberto",
""
]
] | Generalised moonshine is reviewed from the point of view of holomorphic orbifolds, putting special emphasis on the role of the third cohomology group H^3(G, U(1)) in characterising consistent constructions. These ideas are then applied to the case of Mathieu moonshine, i.e. the recently discovered connection between the largest Mathieu group M_24 and the elliptic genus of K3. In particular, we find a complete list of twisted twining genera whose modular properties are controlled by a class in H^3(M_24, U(1)), as expected from general orbifold considerations. |
1412.2396 | Vatche Sahakian | Samuel Pramodh and Vatche Sahakian | From Black Hole to Qubits: Evidence of Fast Scrambling in BMN theory | 30 pages, 7 figures; v2: typos corrected, minor clarifications added,
references added; v3: revision involving a reinterpretation of the results
that identifies a missed possibility: paper's claim correspondingly changed
from definitive proof of fast scrambling in BMN theory to evidence for fast
scrambling | JHEP 7, July 2015, 67 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | BMN Matrix theory admits vacua in the shape of large spherical membranes.
Per- turbing around such vacua, the setup provides for a controlled
computational frame- work for testing information evolution in Matrix black
holes. The theory realizes excitations in the supergravity multiplet as qubits.
These qubits are coupled to matrix degrees of freedom that describe
deformations of the spherical shape of the membrane. Arranging the ripples on
the membrane into a heat bath, we use the qubit system as a probe and compute
the associated Feynman-Vernon density matrix at one loop order. This allows us
to trace the evolution of entanglement in the system and extract the
characteristic scrambling timescale. We find that our numerical analysis is
consistent with this time scaling logarithmically with the entropy of the qubit
system, in tune with suggestions by Sekino and Susskind.
| [
{
"created": "Sun, 7 Dec 2014 20:36:24 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Dec 2014 21:41:34 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Jun 2015 18:19:32 GMT",
"version": "v3"
}
] | 2015-07-28 | [
[
"Pramodh",
"Samuel",
""
],
[
"Sahakian",
"Vatche",
""
]
] | BMN Matrix theory admits vacua in the shape of large spherical membranes. Per- turbing around such vacua, the setup provides for a controlled computational frame- work for testing information evolution in Matrix black holes. The theory realizes excitations in the supergravity multiplet as qubits. These qubits are coupled to matrix degrees of freedom that describe deformations of the spherical shape of the membrane. Arranging the ripples on the membrane into a heat bath, we use the qubit system as a probe and compute the associated Feynman-Vernon density matrix at one loop order. This allows us to trace the evolution of entanglement in the system and extract the characteristic scrambling timescale. We find that our numerical analysis is consistent with this time scaling logarithmically with the entropy of the qubit system, in tune with suggestions by Sekino and Susskind. |
1612.03795 | Guillermo A. Silva | Dionysios Anninos and Guillermo A. Silva | Solvable Quantum Grassmann Matrices | 25 pages, 4 figures | null | 10.1088/1742-5468/aa668f | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore systems with a large number of fermionic degrees of freedom
subject to non-local interactions. We study both vector and matrix-like models
with quartic interactions. The exact thermal partition function is expressed in
terms of an ordinary bosonic integral, which has an eigenvalue repulsion term
in the matrix case. We calculate real time correlations at finite temperature
and analyze the thermal phase structure. When possible, calculations are
performed in both the original Hilbert space as well as the bosonic picture,
and the exact map between the two is explained. At large $N$, there is a phase
transition to a highly entropic high temperature phase from a low temperature
low entropy phase. Thermal two-point functions decay in time in the high
temperature phase.
| [
{
"created": "Mon, 12 Dec 2016 17:16:48 GMT",
"version": "v1"
}
] | 2017-04-26 | [
[
"Anninos",
"Dionysios",
""
],
[
"Silva",
"Guillermo A.",
""
]
] | We explore systems with a large number of fermionic degrees of freedom subject to non-local interactions. We study both vector and matrix-like models with quartic interactions. The exact thermal partition function is expressed in terms of an ordinary bosonic integral, which has an eigenvalue repulsion term in the matrix case. We calculate real time correlations at finite temperature and analyze the thermal phase structure. When possible, calculations are performed in both the original Hilbert space as well as the bosonic picture, and the exact map between the two is explained. At large $N$, there is a phase transition to a highly entropic high temperature phase from a low temperature low entropy phase. Thermal two-point functions decay in time in the high temperature phase. |
hep-th/0109005 | Kilian Koepsell | M. Gunaydin, K. Koepsell, H. Nicolai | The Minimal Unitary Representation of E_8(8) | 24 pages, 1 figure, version to be published in ATMP | Adv.Theor.Math.Phys.5:923-946,2002 | null | AEI-2001-108 | hep-th | null | We give a new construction of the minimal unitary representation of the
exceptional group E_8(8) on a Hilbert space of complex functions in 29
variables. Due to their manifest covariance with respect to the E_7(7) subgroup
of E_8(8) our formulas are simpler than previous realizations, and thus well
suited for applications in superstring and M theory.
| [
{
"created": "Sun, 2 Sep 2001 06:46:05 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 2002 21:09:34 GMT",
"version": "v2"
}
] | 2011-02-09 | [
[
"Gunaydin",
"M.",
""
],
[
"Koepsell",
"K.",
""
],
[
"Nicolai",
"H.",
""
]
] | We give a new construction of the minimal unitary representation of the exceptional group E_8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect to the E_7(7) subgroup of E_8(8) our formulas are simpler than previous realizations, and thus well suited for applications in superstring and M theory. |
hep-th/0109107 | Bengt E. W. Nilsson | David S. Berman, Martin Cederwall, Ulf Gran, Henric Larsson, Mikkel
Nielsen, Bengt E. W. Nilsson and Per Sundell | Deformation independent open brane metrics and generalized theta
parameters | 24 pages, LaTeX | JHEP 0202 (2002) 012 | 10.1088/1126-6708/2002/02/012 | Goteborg-ITP-preprint, UG-01-32 | hep-th | null | We investigate the consequences of generalizing certain well established
properties of the open string metric to the conjectured open membrane and open
Dp-brane metrics. By imposing deformation independence on these metrics their
functional dependence on the background fields can be determined including the
notorious conformal factor. In analogy with the non-commutativity parameter
$\Theta^{\mu\nu}$ in the string case, we also obtain `generalized' theta
parameters which are rank q+1 antisymmetric tensors (polyvectors) for open
Dq-branes and rank 3 for the open membrane case. The expressions we obtain for
the open membrane quantities are expected to be valid for general background
field configurations, while the open D-brane quantities are only valid for one
parameter deformations. By reducing the open membrane data to five dimensions,
we show that they, modulo a subtlety with implications for the relation between
OM-theory and NCYM, correctly generate the open string and open D2-data.
| [
{
"created": "Thu, 13 Sep 2001 15:24:49 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Berman",
"David S.",
""
],
[
"Cederwall",
"Martin",
""
],
[
"Gran",
"Ulf",
""
],
[
"Larsson",
"Henric",
""
],
[
"Nielsen",
"Mikkel",
""
],
[
"Nilsson",
"Bengt E. W.",
""
],
[
"Sundell",
"Per",
""
]
] | We investigate the consequences of generalizing certain well established properties of the open string metric to the conjectured open membrane and open Dp-brane metrics. By imposing deformation independence on these metrics their functional dependence on the background fields can be determined including the notorious conformal factor. In analogy with the non-commutativity parameter $\Theta^{\mu\nu}$ in the string case, we also obtain `generalized' theta parameters which are rank q+1 antisymmetric tensors (polyvectors) for open Dq-branes and rank 3 for the open membrane case. The expressions we obtain for the open membrane quantities are expected to be valid for general background field configurations, while the open D-brane quantities are only valid for one parameter deformations. By reducing the open membrane data to five dimensions, we show that they, modulo a subtlety with implications for the relation between OM-theory and NCYM, correctly generate the open string and open D2-data. |
0805.4443 | Andreas Gustavsson | Andreas Gustavsson | One-loop corrections to Bagger-Lambert theory | 18 pages, v2: scalar and fermion fields contribute an equal amount to
the gluon selfenergy and do not cancel | Nucl.Phys.B807:315-333,2009 | 10.1016/j.nuclphysb.2008.09.003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We rewrite the Bagger-Lambert action for any Lie 3-algebra as a standard
Chern- Simons action coupled to matter. We use this action to compute
self-energies and vertex corrections at one-loop order. Non-renormalization of
the coupling constant comes out as a direct consequence of the Lie 3-algebra
structure underlying the Lie algebra.
| [
{
"created": "Thu, 29 May 2008 07:49:37 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2008 15:56:56 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Aug 2008 17:23:40 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Gustavsson",
"Andreas",
""
]
] | We rewrite the Bagger-Lambert action for any Lie 3-algebra as a standard Chern- Simons action coupled to matter. We use this action to compute self-energies and vertex corrections at one-loop order. Non-renormalization of the coupling constant comes out as a direct consequence of the Lie 3-algebra structure underlying the Lie algebra. |
1401.4032 | Minkyoo Kim | Minkyoo Kim | Spectral curve for gamma-deformed AdS/CFT | 14 pages; v2 references added and typos corrected | Phys. Lett. B 735, 332 (2014) | 10.1016/j.physletb.2014.06.052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the spectral curve of gamma-deformed AdS/CFT from the strong
coupling scaling limit of the T-system. As we interpret the twisted T-functions
in the classical limit as characters of the highest weight representations of
the psu(2,2|4) symmetry group, we compute the twisted quasimomenta which
characterize classical integrability and analyze their analytic and asymptotic
properties. These twisted quasimomenta are compared to Beisert-Roiban Bethe
ansatz equations and classical string solutions.
| [
{
"created": "Thu, 16 Jan 2014 14:12:47 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jan 2014 13:54:36 GMT",
"version": "v2"
}
] | 2014-09-22 | [
[
"Kim",
"Minkyoo",
""
]
] | We construct the spectral curve of gamma-deformed AdS/CFT from the strong coupling scaling limit of the T-system. As we interpret the twisted T-functions in the classical limit as characters of the highest weight representations of the psu(2,2|4) symmetry group, we compute the twisted quasimomenta which characterize classical integrability and analyze their analytic and asymptotic properties. These twisted quasimomenta are compared to Beisert-Roiban Bethe ansatz equations and classical string solutions. |
hep-th/0206048 | Helmuth Hueffel | H. Huffel | BV-Quantization of a Noncommutative Yang-Mills Theory Toy Model | 7 pages, Latex, talk given at the 5-th International Conference
"Renormalization Group 2002", Tatranska Strba, Slovakia, March 10-16, 2002 | Acta Phys.Slov. 52 (2002) 247-252 | null | University of Vienna preprint UWThPh-2002-15 | hep-th | null | We review the Batalin-Vilkovisky quantization procedure for Yang--Mills
theory on a 2-point space.
| [
{
"created": "Thu, 6 Jun 2002 07:43:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Huffel",
"H.",
""
]
] | We review the Batalin-Vilkovisky quantization procedure for Yang--Mills theory on a 2-point space. |
1607.05849 | Thomas Curtright | Thomas Curtright, Thomas Van Kortryk, Cosmas Zachos | Spin Multiplicities | Formatted into sections; references updated | null | 10.1016/j.physleta.2016.12.006 | hal-01345527 , ANL-HEP-129041 | hep-th math-ph math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The number of times spin s appears in the Kronecker product of n spin j
representations is computed, and the large n asymptotic behavior of the result
is obtained. Applications are briefly sketched.
| [
{
"created": "Wed, 20 Jul 2016 07:56:37 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2016 16:33:39 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jul 2016 08:29:51 GMT",
"version": "v3"
},
{
"created": "Thu, 22 Dec 2016 10:44:19 GMT",
"version": "v4"
}
] | 2017-03-07 | [
[
"Curtright",
"Thomas",
""
],
[
"Van Kortryk",
"Thomas",
""
],
[
"Zachos",
"Cosmas",
""
]
] | The number of times spin s appears in the Kronecker product of n spin j representations is computed, and the large n asymptotic behavior of the result is obtained. Applications are briefly sketched. |
1704.01750 | Gabor Etesi | Gabor Etesi | Primordial black holes from collapsing antimatter | LaTeX, 18pp, no figures; this is an extended and published version | Foundations of Science 27, 1381-1400 (2022) | 10.1007/s10699-022-09831-7 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper a simple (i.e. free of fine-tuning, etc.) new mechanism for
primordial black hole formation based on the collapse of large antimatter
systems in the early Universe is introduced. A peculiarity of this process is
that, compared to their material counterparts, the collapse of large antimatter
systems takes much less time due to the reversed thermodynamics of antimatter,
an idea which has been proposed in our earlier paper.
This model has several testable predictions. The first is that the
photon-baryon ratio is roughly computable and is equal to $1.95\times 10^9$
which is quite close to its experimentally confirmed value. The second is that
the mass of black holes arising from this mechanism is at least
$10^5$-$10^6M_\odot$ hence they contribute to the super- or hypermassive end of
the primordial black hole mass spectrum. The third prediction is that these
sort of primordial black holes constitute at least $20\%$ of dark matter. Last
but not least the observed current asymmetry of matter and antimatter, even if
their presence in the Universe was symmetric in the beginning, acquires a
natural explanation, too.
| [
{
"created": "Thu, 6 Apr 2017 08:39:05 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Apr 2017 18:17:51 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Nov 2018 08:40:17 GMT",
"version": "v3"
},
{
"created": "Thu, 27 May 2021 07:37:58 GMT",
"version": "v4"
},
{
"created": "Fri, 12 Apr 2024 07:40:46 GMT",
"version": "v5"
}
] | 2024-04-15 | [
[
"Etesi",
"Gabor",
""
]
] | In this paper a simple (i.e. free of fine-tuning, etc.) new mechanism for primordial black hole formation based on the collapse of large antimatter systems in the early Universe is introduced. A peculiarity of this process is that, compared to their material counterparts, the collapse of large antimatter systems takes much less time due to the reversed thermodynamics of antimatter, an idea which has been proposed in our earlier paper. This model has several testable predictions. The first is that the photon-baryon ratio is roughly computable and is equal to $1.95\times 10^9$ which is quite close to its experimentally confirmed value. The second is that the mass of black holes arising from this mechanism is at least $10^5$-$10^6M_\odot$ hence they contribute to the super- or hypermassive end of the primordial black hole mass spectrum. The third prediction is that these sort of primordial black holes constitute at least $20\%$ of dark matter. Last but not least the observed current asymmetry of matter and antimatter, even if their presence in the Universe was symmetric in the beginning, acquires a natural explanation, too. |
hep-th/9910152 | Tsunehiro Kobayashi | Tsunehiro Kobayashi | Physical equivalence on non-standard space and symmetries on
infinitesimal- lattice spaces | 35pages,Latex | Nuovo Cim.B116:403-426,2001 | null | null | hep-th | null | Equivalence in physics is discussed on the basis of experimental data
accompanied by experimental errors. The introduction of the equivalence being
consistent with the mathematical definition is possible only in theories
constructed on non-standard number spaces by taking the experimental errors as
infinitesimal numbers of the non-standard spaces. Following the idea for the
equivalence (the physical equivalence), a new description of space-time in
terms of infinitesimal-lattice points on non-standard real number space $\SR$
is proposed. The infinitesimal-lattice space, $^*{\cal L}$, is represented by
the set of points on $\SR$ which are written by $l_n=n\SE$, where the
infinitesimal lattice-spacing $\SE$ is determined by a non-standard natural
number $^*N$ such that $\SE\equiv ^*N^{-1}$. By using infinitesimal
neighborhoos ($\MON$) of real number $r$ on $\SL$ we can make a space $\SM$
which is isomorphic to $\RE$ as additive group. Therefore, every point on
$(\SM)^N$ automatically has the internal confined-subspace $\MON$. A field
theory on $\SL$ is proposed. To determine a projection from $\SL$ to $\SM$, a
fundamental principle based on the physical equivalence is introduced. The
physical equivalence is expressed by the totally equal treatment for
indistinguishable quantities in our observations. Following the principle, we
show that U(1) and SU(N) symmetries on the space $(\SM)^N$ are induced from the
internal substructure $(\MON)^N$. Quantized state describing configuration
space is constructed on $(\SM)^N$. We see that Lorentz and general relativistic
transformations are also represented by operators which involve the U(1) and
SU(N) internal symmetries.
| [
{
"created": "Tue, 19 Oct 1999 03:33:01 GMT",
"version": "v1"
}
] | 2010-11-11 | [
[
"Kobayashi",
"Tsunehiro",
""
]
] | Equivalence in physics is discussed on the basis of experimental data accompanied by experimental errors. The introduction of the equivalence being consistent with the mathematical definition is possible only in theories constructed on non-standard number spaces by taking the experimental errors as infinitesimal numbers of the non-standard spaces. Following the idea for the equivalence (the physical equivalence), a new description of space-time in terms of infinitesimal-lattice points on non-standard real number space $\SR$ is proposed. The infinitesimal-lattice space, $^*{\cal L}$, is represented by the set of points on $\SR$ which are written by $l_n=n\SE$, where the infinitesimal lattice-spacing $\SE$ is determined by a non-standard natural number $^*N$ such that $\SE\equiv ^*N^{-1}$. By using infinitesimal neighborhoos ($\MON$) of real number $r$ on $\SL$ we can make a space $\SM$ which is isomorphic to $\RE$ as additive group. Therefore, every point on $(\SM)^N$ automatically has the internal confined-subspace $\MON$. A field theory on $\SL$ is proposed. To determine a projection from $\SL$ to $\SM$, a fundamental principle based on the physical equivalence is introduced. The physical equivalence is expressed by the totally equal treatment for indistinguishable quantities in our observations. Following the principle, we show that U(1) and SU(N) symmetries on the space $(\SM)^N$ are induced from the internal substructure $(\MON)^N$. Quantized state describing configuration space is constructed on $(\SM)^N$. We see that Lorentz and general relativistic transformations are also represented by operators which involve the U(1) and SU(N) internal symmetries. |
1609.08480 | Antoine Van Proeyen | Sergio Ferrara and Antoine Van Proeyen | Mass Formulae for Broken Supersymmetry in Curved Space-Time | 14 pages; v2: v2: Extended conclusions and typos corrected | null | 10.1002/prop.201600100 | CERN-TH-2016-204 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the mass formulae for ${\cal N}=1$, $D=4$ matter-coupled
Supergravity for broken (and unbroken) Supersymmetry in curved space-time.
These formulae are applicable to de Sitter configurations as is the case for
inflation. For unbroken Supersymmetry in anti-de Sitter (AdS) one gets the mass
relations modified by the AdS curvature. We compute the mass relations both for
the potential and its derivative non-vanishing.
| [
{
"created": "Tue, 27 Sep 2016 14:40:33 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Oct 2016 09:16:04 GMT",
"version": "v2"
}
] | 2016-12-21 | [
[
"Ferrara",
"Sergio",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We derive the mass formulae for ${\cal N}=1$, $D=4$ matter-coupled Supergravity for broken (and unbroken) Supersymmetry in curved space-time. These formulae are applicable to de Sitter configurations as is the case for inflation. For unbroken Supersymmetry in anti-de Sitter (AdS) one gets the mass relations modified by the AdS curvature. We compute the mass relations both for the potential and its derivative non-vanishing. |
0810.0645 | Emmanuil Saridakis | M. R. Setare, E. N. Saridakis | Non-minimally coupled canonical, phantom and quintom models of
holographic dark energy | 9 pages, 5 figures, version published in Phys. Lett. B | null | 10.1016/j.physletb.2008.12.026 | null | hep-th astro-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate canonical, phantom and quintom models, with the various fields
being non-minimally coupled to gravity, in the framework of holographic dark
energy. We classify them and we discuss their cosmological implications. In
particular, we examine the present value of the dark energy equation-of-state
parameter and the crossing through the phantom divide, and we extract the
conditions for a future cosmological singularity. The combined scenarios are in
agreement with observations and reveal interesting cosmological behaviors.
| [
{
"created": "Fri, 3 Oct 2008 14:18:08 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Oct 2008 08:53:21 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Dec 2008 18:39:34 GMT",
"version": "v3"
}
] | 2009-11-13 | [
[
"Setare",
"M. R.",
""
],
[
"Saridakis",
"E. N.",
""
]
] | We investigate canonical, phantom and quintom models, with the various fields being non-minimally coupled to gravity, in the framework of holographic dark energy. We classify them and we discuss their cosmological implications. In particular, we examine the present value of the dark energy equation-of-state parameter and the crossing through the phantom divide, and we extract the conditions for a future cosmological singularity. The combined scenarios are in agreement with observations and reveal interesting cosmological behaviors. |
hep-th/0602122 | Vladimir Mangazeev | Vladimir V Bazhanov, Vladimir V Mangazeev | The eight-vertex model and Painleve VI | 9 pages, LaTeX, submitted to the special issue on Painleve VI,
Journal of Physics A | J.Phys.A39:12235-12243,2006; J.Phys.A39:12235-12244,2006 | 10.1088/0305-4470/39/39/S15 | null | hep-th math-ph math.MP | null | In this letter we establish a connection of Picard-type elliptic solutions of
Painleve VI equation with the special solutions of the non-stationary Lame
equation. The latter appeared in the study of the ground state properties of
Baxter's solvable eight-vertex lattice model at a particular point,
$\eta=\pi/3$, of the disordered regime.
| [
{
"created": "Mon, 13 Feb 2006 03:42:06 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Bazhanov",
"Vladimir V",
""
],
[
"Mangazeev",
"Vladimir V",
""
]
] | In this letter we establish a connection of Picard-type elliptic solutions of Painleve VI equation with the special solutions of the non-stationary Lame equation. The latter appeared in the study of the ground state properties of Baxter's solvable eight-vertex lattice model at a particular point, $\eta=\pi/3$, of the disordered regime. |
2201.09557 | Sinya Aoki | Sinya Aoki, Tetsuya Onogi | Conserved non-Noether charge in general relativity: Physical definition
vs. Noether's 2nd theorem | 27 pages, 2 figures | null | 10.1142/S0217751X22501299 | YITP-22-03, OU-HET-1128 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we make a close comparison of a covariant definition of an
energy/entropy in general relativity, recently proposed by a collaboration
including the present authors, with existing definitions of energies such as
the one from the pseudo-tensor and the quasi-local energy. We show that
existing definitions of energies in general relativity are conserved charges
from the Noether's 2nd theorem for the general coordinate transformation, whose
conservations are merely identities implied by the local symmetry and always
hold without using equations of motion. Thus none of existing definitions in
general relativity reflects the dynamical properties of the system, need for a
physical definition of an energy. In contrast, our new definition of the
energy/entropy in general relativity is generically a conserved non-Noether
charge and gives physically sensible results for various cases such as the
black hole mass, the gravitational collapse, and the expanding universe, while
existing definitions sometimes lead to unphysical ones including zero and
infinity. We conclude that our proposal is more physical than existing
definitions of energies. Our proposal makes it possible to define almost
uniquely the covariant and conserved energy/entropy in general relativity,
which brings some implications to future investigations.
| [
{
"created": "Mon, 24 Jan 2022 09:57:56 GMT",
"version": "v1"
}
] | 2022-11-09 | [
[
"Aoki",
"Sinya",
""
],
[
"Onogi",
"Tetsuya",
""
]
] | In this paper, we make a close comparison of a covariant definition of an energy/entropy in general relativity, recently proposed by a collaboration including the present authors, with existing definitions of energies such as the one from the pseudo-tensor and the quasi-local energy. We show that existing definitions of energies in general relativity are conserved charges from the Noether's 2nd theorem for the general coordinate transformation, whose conservations are merely identities implied by the local symmetry and always hold without using equations of motion. Thus none of existing definitions in general relativity reflects the dynamical properties of the system, need for a physical definition of an energy. In contrast, our new definition of the energy/entropy in general relativity is generically a conserved non-Noether charge and gives physically sensible results for various cases such as the black hole mass, the gravitational collapse, and the expanding universe, while existing definitions sometimes lead to unphysical ones including zero and infinity. We conclude that our proposal is more physical than existing definitions of energies. Our proposal makes it possible to define almost uniquely the covariant and conserved energy/entropy in general relativity, which brings some implications to future investigations. |
0801.1797 | Makoto Natsuume | Makoto Natsuume and Takashi Okamura | A note on causal hydrodynamics for M-theory branes | 6 pages, ReVTeX4 | Prog.Theor.Phys.120:1217-1222,2008 | 10.1143/PTP.120.1217 | KEK-TH-1221 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain new transport coefficients of causal hydrodynamics for the M2 and
the M5-brane using a Kubo-like formula proposed by Baier, Romatschke, Son,
Starinets, and Stephanov (arXiv:0712.2451 [hep-th]). The relaxation times agree
with the ones obtained from the "sound mode" in our paper (arXiv:0712.2916
[hep-th]).
| [
{
"created": "Fri, 11 Jan 2008 16:40:11 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jan 2008 19:46:28 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Dec 2008 09:12:52 GMT",
"version": "v3"
}
] | 2008-12-25 | [
[
"Natsuume",
"Makoto",
""
],
[
"Okamura",
"Takashi",
""
]
] | We obtain new transport coefficients of causal hydrodynamics for the M2 and the M5-brane using a Kubo-like formula proposed by Baier, Romatschke, Son, Starinets, and Stephanov (arXiv:0712.2451 [hep-th]). The relaxation times agree with the ones obtained from the "sound mode" in our paper (arXiv:0712.2916 [hep-th]). |
2103.04163 | Andrea Cappelli | Andrea Cappelli and Lorenzo Maffi | W-infinity Symmetry in the Quantum Hall Effect Beyond the Edge | 45 pages, 11 figures | null | 10.1007/JHEP05(2021)120 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | The description of chiral quantum incompressible fluids by the W-infinity
symmetry can be extended from the edge, where it encompasses the conformal
field theory approach, to the non-conformal bulk. The two regimes are
characterized by excitations with different sizes, energies and momenta within
the disk geometry. In particular, the bulk quantities have a finite limit for
large droplets. We obtain analytic results for the radial shape of excitations,
the edge reconstruction phenomenon and the energy spectrum of density
fluctuations in Laughlin states.
| [
{
"created": "Sat, 6 Mar 2021 17:45:03 GMT",
"version": "v1"
}
] | 2021-06-02 | [
[
"Cappelli",
"Andrea",
""
],
[
"Maffi",
"Lorenzo",
""
]
] | The description of chiral quantum incompressible fluids by the W-infinity symmetry can be extended from the edge, where it encompasses the conformal field theory approach, to the non-conformal bulk. The two regimes are characterized by excitations with different sizes, energies and momenta within the disk geometry. In particular, the bulk quantities have a finite limit for large droplets. We obtain analytic results for the radial shape of excitations, the edge reconstruction phenomenon and the energy spectrum of density fluctuations in Laughlin states. |
2203.01838 | Chris Blair | Chris D. A. Blair, Sofia Zhidkova | Generalised U-dual solutions in supergravity | 27 pages + appendices; v2: published version (typos fixed, refs
added) | null | 10.1007/JHEP05(2022)081 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the notion of generalised U-duality as a solution generating
technique in supergravity. We demonstrate a method to take solutions of type
IIA supergravity on a 3-sphere, with NSNS flux, to new solutions of
11-dimensional supergravity, using exceptional geometry techniques. These new
solutions are characterised by an underlying 3-algebra structure, and
generalise features of solutions obtained by non-abelian T-duality, which
involve an underlying ordinary Lie algebra. We focus on an example where we
start with the pp-F1-NS5 solution in type IIA supergravity. We discuss the
properties of our resulting new solution, including the possibility of viewing
it globally as a U-fold, and its M2 and M5 brane charges. In the extremal case,
the new solution admits an AdS${}_3$ limit, which falls into a recently
constructed class of M-theory AdS$_{3}$ backgrounds -- this provides a global
completion of our solution with a well-defined holographic dual, similar to the
global completions of non-abelian T-dual solutions. Our full solution is a
6-vector deformation of this AdS${}_3$ limit. We also explicitly solve the
Killing spinor equation in the AdS${}_3$ limit, finding a $\frac{1}{2}$-BPS
solution.
| [
{
"created": "Thu, 3 Mar 2022 16:38:05 GMT",
"version": "v1"
},
{
"created": "Mon, 23 May 2022 11:20:56 GMT",
"version": "v2"
}
] | 2022-05-24 | [
[
"Blair",
"Chris D. A.",
""
],
[
"Zhidkova",
"Sofia",
""
]
] | We discuss the notion of generalised U-duality as a solution generating technique in supergravity. We demonstrate a method to take solutions of type IIA supergravity on a 3-sphere, with NSNS flux, to new solutions of 11-dimensional supergravity, using exceptional geometry techniques. These new solutions are characterised by an underlying 3-algebra structure, and generalise features of solutions obtained by non-abelian T-duality, which involve an underlying ordinary Lie algebra. We focus on an example where we start with the pp-F1-NS5 solution in type IIA supergravity. We discuss the properties of our resulting new solution, including the possibility of viewing it globally as a U-fold, and its M2 and M5 brane charges. In the extremal case, the new solution admits an AdS${}_3$ limit, which falls into a recently constructed class of M-theory AdS$_{3}$ backgrounds -- this provides a global completion of our solution with a well-defined holographic dual, similar to the global completions of non-abelian T-dual solutions. Our full solution is a 6-vector deformation of this AdS${}_3$ limit. We also explicitly solve the Killing spinor equation in the AdS${}_3$ limit, finding a $\frac{1}{2}$-BPS solution. |
hep-th/0107200 | Simeon Hellerman | Simeon Hellerman and Leonard Susskind | Realizing the Quantum Hall System in String Theory | 8 Pages, no figures | null | null | null | hep-th | null | In a recent paper Bernevig, Brodie, Susskind and Toumbas constructed a brane
realization of the Quantum Hall fluid. Since then it has been realized that the
Quantum Hall system is very closely related to non--commutative Chern Simons
theory and this suggests alternative brane constructions which we believe are
more reliable and clear. In this paper a brane construction is given for the
non--commutative Chern Simons Matrix formulation of the Quantum Hall system as
described by in recent papers by Susskind, Polychronakos and by Hellerman and
Van Raamsdonk. The system is a generalized version of Berkooz's ``Rigid Light
Cone Membrane which occurs as an excition of the DLCQ description of the
M5--brane in a background 3--form field. The original construction of Berkooz
corresponds to the fully filled $\nu =1$ state of the QH system. To change the
filling fraction to $\nu = 1/(k+1)$ a system of $k$ background D8-branes is
required. Quasi--hole excitations can be generated by passing a D6-brane though
the Rigid Membrane.
| [
{
"created": "Mon, 23 Jul 2001 22:59:54 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jul 2001 22:50:01 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hellerman",
"Simeon",
""
],
[
"Susskind",
"Leonard",
""
]
] | In a recent paper Bernevig, Brodie, Susskind and Toumbas constructed a brane realization of the Quantum Hall fluid. Since then it has been realized that the Quantum Hall system is very closely related to non--commutative Chern Simons theory and this suggests alternative brane constructions which we believe are more reliable and clear. In this paper a brane construction is given for the non--commutative Chern Simons Matrix formulation of the Quantum Hall system as described by in recent papers by Susskind, Polychronakos and by Hellerman and Van Raamsdonk. The system is a generalized version of Berkooz's ``Rigid Light Cone Membrane which occurs as an excition of the DLCQ description of the M5--brane in a background 3--form field. The original construction of Berkooz corresponds to the fully filled $\nu =1$ state of the QH system. To change the filling fraction to $\nu = 1/(k+1)$ a system of $k$ background D8-branes is required. Quasi--hole excitations can be generated by passing a D6-brane though the Rigid Membrane. |
2006.12505 | Xinan Zhou | Luis F. Alday and Xinan Zhou | All Holographic Four-Point Functions in All Maximally Supersymmetric
CFTs | v1: 31 pages, no figure; v2: minor changes, typos corrected; v3:
typos corrected, published on Physical Review X | Phys. Rev. X 11, 011056 (2021) | 10.1103/PhysRevX.11.011056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a constructive derivation of holographic four-point correlators of
arbitrary half-BPS operators for all maximally supersymmetric conformal field
theories in $d>2$. This includes holographic correlators in 3d ${\cal N}=8$
ABJM theories, 4d ${\cal N}=4$ SYM theory and the 6d ${\cal N}=(2,0)$ theory,
dual to tree-level amplitudes in 11D supergravity on $AdS_4 \times S^7$, 10D
supergravity on $AdS_5 \times S^5$ and 11D supergravity on $AdS_7 \times S^4$,
respectively. We introduce the concept of Maximally R-symmetry Violating (MRV)
amplitude, which corresponds to a special configuration in the R-symmetry
space. In this limit the amplitude drastically simplifies, but at the same time
the entire polar part of the full amplitude can be recovered from this limit.
Furthermore, for a specific choice of the polar part, contact terms can be
shown to be absent, by using the superconformal Ward identities and the flat
space limit.
| [
{
"created": "Mon, 22 Jun 2020 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 2020 13:31:53 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Mar 2021 15:08:23 GMT",
"version": "v3"
}
] | 2021-03-24 | [
[
"Alday",
"Luis F.",
""
],
[
"Zhou",
"Xinan",
""
]
] | We present a constructive derivation of holographic four-point correlators of arbitrary half-BPS operators for all maximally supersymmetric conformal field theories in $d>2$. This includes holographic correlators in 3d ${\cal N}=8$ ABJM theories, 4d ${\cal N}=4$ SYM theory and the 6d ${\cal N}=(2,0)$ theory, dual to tree-level amplitudes in 11D supergravity on $AdS_4 \times S^7$, 10D supergravity on $AdS_5 \times S^5$ and 11D supergravity on $AdS_7 \times S^4$, respectively. We introduce the concept of Maximally R-symmetry Violating (MRV) amplitude, which corresponds to a special configuration in the R-symmetry space. In this limit the amplitude drastically simplifies, but at the same time the entire polar part of the full amplitude can be recovered from this limit. Furthermore, for a specific choice of the polar part, contact terms can be shown to be absent, by using the superconformal Ward identities and the flat space limit. |
hep-th/0201016 | Michal Fabinger | Michal Fabinger (Stanford University and SLAC) | Higher-Dimensional Quantum Hall Effect in String Theory | 13 pages, 2 figures, references added | JHEP 0205 (2002) 037 | 10.1088/1126-6708/2002/05/037 | SU-ITP 02-01, SLAC-PUB-9117 | hep-th cond-mat.mes-hall | null | We construct a string theory realization of the 4+1d quantum Hall effect
recently discovered by Zhang and Hu. The string theory picture contains
coincident D4-branes forming an S^4 and having D0-branes (i.e. instantons) in
their world-volume. The charged particles are modelled as string ends. Their
configuration space approaches in the large n limit a CP^3, which is an S^2
fibration over S^4, the extra S^2 being made out of the Chan-Paton degrees of
freedom. An alternative matrix theory description involves the fuzzy
four-sphere. We also find that there is a hierarchy of quantum Hall effects in
odd-dimensional spacetimes, generalizing the known cases in 2+1d and 4+1d.
| [
{
"created": "Fri, 4 Jan 2002 20:18:04 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Jan 2002 22:45:19 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Jun 2002 12:07:39 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Fabinger",
"Michal",
"",
"Stanford University and SLAC"
]
] | We construct a string theory realization of the 4+1d quantum Hall effect recently discovered by Zhang and Hu. The string theory picture contains coincident D4-branes forming an S^4 and having D0-branes (i.e. instantons) in their world-volume. The charged particles are modelled as string ends. Their configuration space approaches in the large n limit a CP^3, which is an S^2 fibration over S^4, the extra S^2 being made out of the Chan-Paton degrees of freedom. An alternative matrix theory description involves the fuzzy four-sphere. We also find that there is a hierarchy of quantum Hall effects in odd-dimensional spacetimes, generalizing the known cases in 2+1d and 4+1d. |
hep-th/9405016 | null | O. A. Soloviev | Perturbed Gauged WZNW Models | LaTex file, 20 pages, Preprint QMW 94-9. This is a version to apper
in Nucl. Phys. B | Nucl.Phys. B431 (1994) 206-222 | 10.1016/0550-3213(94)90104-X | null | hep-th | null | We discuss a new type of unitary perturbations around conformal theories
inspired by the $\sigma$-model perturbation of the nonunitary WZNW model. We
show that the nonunitary level $k$ WZNW model perturbed by its sigma model term
goes to the unitary level $-k$ WZNW model. When plugged into the gauged WZNW
model the given perturbation results in the perturbed gauged WZNW model which
no longer describes a coset construction. We consider the BRST invariant
generalization of the sigma model perturbation around the gauged WZNW model. In
this way we obtain perturbed coset constructions. In the case of the
$SU_{m-2}(2)\times SU_1(2)/SU_{m-1}(2)$ coset, the BRST invariant sigma model
perturbation is identical to Zamolodchikov's $\Phi_{(3,1)}$ perturbation of the
minimal conformal series. The existence of general geometry flows is clarified.
| [
{
"created": "Tue, 3 May 1994 17:24:22 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Oct 1994 18:32:20 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Soloviev",
"O. A.",
""
]
] | We discuss a new type of unitary perturbations around conformal theories inspired by the $\sigma$-model perturbation of the nonunitary WZNW model. We show that the nonunitary level $k$ WZNW model perturbed by its sigma model term goes to the unitary level $-k$ WZNW model. When plugged into the gauged WZNW model the given perturbation results in the perturbed gauged WZNW model which no longer describes a coset construction. We consider the BRST invariant generalization of the sigma model perturbation around the gauged WZNW model. In this way we obtain perturbed coset constructions. In the case of the $SU_{m-2}(2)\times SU_1(2)/SU_{m-1}(2)$ coset, the BRST invariant sigma model perturbation is identical to Zamolodchikov's $\Phi_{(3,1)}$ perturbation of the minimal conformal series. The existence of general geometry flows is clarified. |
hep-th/9711007 | Dmitri Sorokin | Igor Bandos, Alexey Maznytsia and Dmitri Sorokin | Worldline Superfield Actions for N=2 Superparticles | Latex, 20 pp. Minor corrections, acknowledgements added | Int.J.Mod.Phys. A14 (1999) 1975-1996 | 10.1142/S0217751X99000993 | null | hep-th | null | We propose doubly supersymmetric actions in terms of n=2(D-2) worldline
superfields for N=2 superparticles in D=3,4 and Type IIA D=6 superspaces. These
actions are obtained by dimensional reduction of superfield actions for N=1
superparticles in D=4,6 and 10, respectively. We show that in all these models
geometrodynamical constraints on target superspace coordinates do not put the
theory on the mass shell, so the actions constructed consistently describe the
dynamics of the corresponding N=2 superparticles. We also find that in contrast
to the IIA D=6 superparticle a chiral IIB D=6 superparticle, which is not
obtainable by dimensional reduction from N=1, D=10, is described by superfield
constraints which produce dynamical equations. This implies that for the IIB
D=6 superparticle the doubly supersymmetric action does not exist in the
conventional form.
| [
{
"created": "Mon, 3 Nov 1997 15:01:13 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Nov 1997 16:41:16 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Bandos",
"Igor",
""
],
[
"Maznytsia",
"Alexey",
""
],
[
"Sorokin",
"Dmitri",
""
]
] | We propose doubly supersymmetric actions in terms of n=2(D-2) worldline superfields for N=2 superparticles in D=3,4 and Type IIA D=6 superspaces. These actions are obtained by dimensional reduction of superfield actions for N=1 superparticles in D=4,6 and 10, respectively. We show that in all these models geometrodynamical constraints on target superspace coordinates do not put the theory on the mass shell, so the actions constructed consistently describe the dynamics of the corresponding N=2 superparticles. We also find that in contrast to the IIA D=6 superparticle a chiral IIB D=6 superparticle, which is not obtainable by dimensional reduction from N=1, D=10, is described by superfield constraints which produce dynamical equations. This implies that for the IIB D=6 superparticle the doubly supersymmetric action does not exist in the conventional form. |
hep-th/0201036 | Matilde Marcolli | Yuri I. Manin (MPI) and Matilde Marcolli (MPI) | Holography principle and arithmetic of algebraic curves | AMSTeX 30 pages, 7 figures | Adv.Theor.Math.Phys. 5 (2002) 617-650 | null | null | hep-th math.AG | null | According to the holography principle (due to G.`t Hooft, L. Susskind, J.
Maldacena, et al.), quantum gravity and string theory on certain manifolds with
boundary can be studied in terms of a conformal field theory on the boundary.
Only a few mathematically exact results corroborating this exciting program are
known. In this paper we interpret from this perspective several constructions
which arose initially in the arithmetic geometry of algebraic curves. We show
that the relation between hyperbolic geometry and Arakelov geometry at
arithmetic infinity involves exactly the same geometric data as the Euclidean
AdS_3 holography of black holes. Moreover, in the case of Euclidean AdS_2
holography, we present some results on bulk/boundary correspondence where the
boundary is a non-commutative space.
| [
{
"created": "Mon, 7 Jan 2002 14:12:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Manin",
"Yuri I.",
"",
"MPI"
],
[
"Marcolli",
"Matilde",
"",
"MPI"
]
] | According to the holography principle (due to G.`t Hooft, L. Susskind, J. Maldacena, et al.), quantum gravity and string theory on certain manifolds with boundary can be studied in terms of a conformal field theory on the boundary. Only a few mathematically exact results corroborating this exciting program are known. In this paper we interpret from this perspective several constructions which arose initially in the arithmetic geometry of algebraic curves. We show that the relation between hyperbolic geometry and Arakelov geometry at arithmetic infinity involves exactly the same geometric data as the Euclidean AdS_3 holography of black holes. Moreover, in the case of Euclidean AdS_2 holography, we present some results on bulk/boundary correspondence where the boundary is a non-commutative space. |
1203.0805 | Sergei V. Ketov | Sergei V. Ketov and Alexei A. Starobinsky | Inflation and non-minimal scalar-curvature coupling in gravity and
supergravity | 18 pages, no figures, LaTeX. minor changes, references added, the
version published in JCAP. arXiv admin note: substantial text overlap with
arXiv:1201.2239, arXiv:1011.0240 | JCAP 08 (2012) 022 | 10.1088/1475-7516/2012/08/022 | Tokyo preprint RESCEU-8/11; IPMU11-0196 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inflationary slow-roll dynamics in Einstein gravity with a non-minimal
scalar-curvature coupling can be equivalent to that in the certain f(R) gravity
theory. We review the correspondence and extend it to N=1 supergravity. The
non-minimal coupling in supergravity is rewritten in terms of the standard
(`minimal') N=1 matter-coupled supergravity by using curved superspace. The
established equivalence between two different inflationary theories means the
same inflaton scalar potential, and does not imply the same post-inflationary
dynamics and reheating.
| [
{
"created": "Mon, 5 Mar 2012 02:41:15 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2012 06:54:26 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Sep 2012 02:12:05 GMT",
"version": "v3"
}
] | 2015-06-04 | [
[
"Ketov",
"Sergei V.",
""
],
[
"Starobinsky",
"Alexei A.",
""
]
] | Inflationary slow-roll dynamics in Einstein gravity with a non-minimal scalar-curvature coupling can be equivalent to that in the certain f(R) gravity theory. We review the correspondence and extend it to N=1 supergravity. The non-minimal coupling in supergravity is rewritten in terms of the standard (`minimal') N=1 matter-coupled supergravity by using curved superspace. The established equivalence between two different inflationary theories means the same inflaton scalar potential, and does not imply the same post-inflationary dynamics and reheating. |
0805.0546 | Wu JianPin | Jian-Pin Wu, Da-Zhu Ma, Yi Ling | Quintessence reconstruction of the new agegraphic dark energy model | 9 pages, 14 figures | Phys.Lett.B663:152-159,2008 | 10.1016/j.physletb.2008.03.071 | PLB24840 | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we implement the new agegraphic dark energy model with
quintessence field. We demonstrate that the new agegraphic evolution of the
universe can be described completely by a single quintessence field. Its
potential as a function of the quintessence field is reconstructed numerically.
In particular, the analytical solution of the new agegraphic quintessence dark
energy model (NAQDE) is approximately obtained in the matter-dominated epoch.
Furthermore, we investigate the evolution of the NAQDE model in the
$\omega-\omega'$ phase plane. It turns out that by quantum corrections, the
trajectory of this model lies outside the thawing and freezing regions at early
times. But at late times, it enters the freezing regions and gradually
approaches to a static cosmological constant state in the future. Therefore the
NAQDE should belong to the freezing model at late times. For comparison, we
further extend this model by including the interaction between the NADE and DM
and discuss its evolution in the $\omega-\omega'$ phase plane.
| [
{
"created": "Sun, 4 May 2008 04:13:40 GMT",
"version": "v1"
},
{
"created": "Thu, 8 May 2008 03:01:41 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Wu",
"Jian-Pin",
""
],
[
"Ma",
"Da-Zhu",
""
],
[
"Ling",
"Yi",
""
]
] | In this paper we implement the new agegraphic dark energy model with quintessence field. We demonstrate that the new agegraphic evolution of the universe can be described completely by a single quintessence field. Its potential as a function of the quintessence field is reconstructed numerically. In particular, the analytical solution of the new agegraphic quintessence dark energy model (NAQDE) is approximately obtained in the matter-dominated epoch. Furthermore, we investigate the evolution of the NAQDE model in the $\omega-\omega'$ phase plane. It turns out that by quantum corrections, the trajectory of this model lies outside the thawing and freezing regions at early times. But at late times, it enters the freezing regions and gradually approaches to a static cosmological constant state in the future. Therefore the NAQDE should belong to the freezing model at late times. For comparison, we further extend this model by including the interaction between the NADE and DM and discuss its evolution in the $\omega-\omega'$ phase plane. |
hep-th/0304008 | Saharian | A. A. Saharian, M. R. Setare | Casimir densities for two concentric spherical shells in the global
monopole spacetime | 18 pages, 3 figures | Int.J.Mod.Phys. A19 (2004) 4301-4321 | 10.1142/S0217751X04019378 | null | hep-th astro-ph gr-qc quant-ph | null | The quantum vacuum effects are investigated for a massive scalar field with
general curvature coupling and obeying the Robin boundary conditions given on
two concentric spherical shells with radii $a $ and $b$ in the
$D+1$-dimensional global monopole background. The expressions are derived for
the Wightman function, the vacuum expectation values of the field square, the
vacuum energy density, radial and azimuthal stress components in the region
between the shells. A regularization procedure is carried out by making use of
the generalized Abel-Plana formula for the series over zeros of combinations of
the cylinder functions. This formula allows us to extract from the vacuum
expectation values the parts due to a single sphere on background of the global
monopole gravitational field, and to present the "interference" parts in terms
of exponentially convergent integrals, useful, in particular, for numerical
evaluations. The vacuum forces acting on the boundaries are presented as a sum
of the self--action and interaction terms. The first one contains well known
surface divergences and needs a further regularization. The interaction forces
between the spheres are finite for all values $a<b$ and are attractive for a
Dirichlet scalar. The asymptotic behavior of the vacuum densities is
investigated (i) in the limits $a\to 0$ and $b\to \infty $, (ii) in the limit
$a,b\to \infty $ for fixed value $b-a$, and (iii) for small values of the
parameter associated with the solid angle deficit in global monopole geometry.
We show that in the case (ii) the results for two parallel Robin plates on the
Minkowski bulk are rederived to the leading order.
| [
{
"created": "Wed, 2 Apr 2003 05:23:16 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Saharian",
"A. A.",
""
],
[
"Setare",
"M. R.",
""
]
] | The quantum vacuum effects are investigated for a massive scalar field with general curvature coupling and obeying the Robin boundary conditions given on two concentric spherical shells with radii $a $ and $b$ in the $D+1$-dimensional global monopole background. The expressions are derived for the Wightman function, the vacuum expectation values of the field square, the vacuum energy density, radial and azimuthal stress components in the region between the shells. A regularization procedure is carried out by making use of the generalized Abel-Plana formula for the series over zeros of combinations of the cylinder functions. This formula allows us to extract from the vacuum expectation values the parts due to a single sphere on background of the global monopole gravitational field, and to present the "interference" parts in terms of exponentially convergent integrals, useful, in particular, for numerical evaluations. The vacuum forces acting on the boundaries are presented as a sum of the self--action and interaction terms. The first one contains well known surface divergences and needs a further regularization. The interaction forces between the spheres are finite for all values $a<b$ and are attractive for a Dirichlet scalar. The asymptotic behavior of the vacuum densities is investigated (i) in the limits $a\to 0$ and $b\to \infty $, (ii) in the limit $a,b\to \infty $ for fixed value $b-a$, and (iii) for small values of the parameter associated with the solid angle deficit in global monopole geometry. We show that in the case (ii) the results for two parallel Robin plates on the Minkowski bulk are rederived to the leading order. |
hep-th/0207092 | Dmitri Antonov | Dmitri Antonov (INFN, Pisa and Pisa University) | String representation of the SU(N)-inspired dual Abelian-Higgs-type
theory with the $\Theta$-term | 7 pages, LaTeX2e, no figures | Phys.Lett. B543 (2002) 53-58 | 10.1016/S0370-2693(02)02412-7 | IFUP-TH 2002/27 | hep-th | null | String representation of the $[U(1)]^{N-1}$ gauge-invariant dual
Abelian-Higgs-type theory, which is relevant to the SU(N)-QCD with the
$\Theta$-term and provides confinement of quarks, is derived. The N-dependence
of the Higgs vacuum expectation value is found, at which the tension of the
string joining quarks becomes N-independent, similarly to the real QCD.
Contrary to that, the inverse coupling constant of the rigidity term of this
string always behaves approximately as 1/N. A long-range Aharonov-Bohm-type
interaction of a dyon (i.e., a quark which acquired a magnetic charge due to
the $\Theta$-term) with a closed electric string becomes nontrivial at $\Theta$
not equal to $N\pi$ times an integer. On the contrary, at these critical values
of $\Theta$, the scattering of dyons over strings is absent.
| [
{
"created": "Wed, 10 Jul 2002 16:28:55 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Antonov",
"Dmitri",
"",
"INFN, Pisa and Pisa University"
]
] | String representation of the $[U(1)]^{N-1}$ gauge-invariant dual Abelian-Higgs-type theory, which is relevant to the SU(N)-QCD with the $\Theta$-term and provides confinement of quarks, is derived. The N-dependence of the Higgs vacuum expectation value is found, at which the tension of the string joining quarks becomes N-independent, similarly to the real QCD. Contrary to that, the inverse coupling constant of the rigidity term of this string always behaves approximately as 1/N. A long-range Aharonov-Bohm-type interaction of a dyon (i.e., a quark which acquired a magnetic charge due to the $\Theta$-term) with a closed electric string becomes nontrivial at $\Theta$ not equal to $N\pi$ times an integer. On the contrary, at these critical values of $\Theta$, the scattering of dyons over strings is absent. |
hep-th/0407099 | Shin'ichi Nojiri | Shin'ichi Nojiri | Dark Energy and Modified Gravities | LaTeX file, 8 pages, to appear in QG issue of TSPU Vestnik,
references are added | TSPU Vestnik 44N7 (2004) 49-57 | null | null | hep-th astro-ph gr-qc | null | We review the several models of the dark energy, which may generate the
accelerated expansion of the present universe. We also discuss the the Big Rip
singularity, which may occur when the equation of the state parameter w is less
than -1. We show that the quantum correction would be very important near the
singularity.
| [
{
"created": "Tue, 13 Jul 2004 08:42:27 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jul 2004 01:10:56 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Nojiri",
"Shin'ichi",
""
]
] | We review the several models of the dark energy, which may generate the accelerated expansion of the present universe. We also discuss the the Big Rip singularity, which may occur when the equation of the state parameter w is less than -1. We show that the quantum correction would be very important near the singularity. |
1204.4160 | Benjamin Safdi | Igor R. Klebanov, Tatsuma Nishioka, Silviu S. Pufu, Benjamin R. Safdi | On Shape Dependence and RG Flow of Entanglement Entropy | 30 pages, 8 figures; v2 refs added, minor improvements; v3 minor
improvements, JHEP version | JHEP 1207 (2012) 001 | 10.1007/JHEP07(2012)001 | PUPT-2411; MIT-CTP-4357 | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use a mix of field theoretic and holographic techniques to elucidate
various properties of quantum entanglement entropy. In (3+1)-dimensional
conformal field theory we study the divergent terms in the entropy when the
entangling surface has a conical or a wedge singularity. In (2+1)-dimensional
field theory with a mass gap we calculate, for an arbitrary smooth entanglement
contour, the expansion of the entropy in inverse odd powers of the mass. We
show that the shape-dependent coefficients that arise are even powers of the
extrinsic curvature and its derivatives. A useful dual construction of a
(2+1)-dimensional theory, which allows us to exhibit these properties, is
provided by the CGLP background. This smooth warped throat solution of
11-dimensional supergravity describes renormalization group flow from a
conformal field theory in the UV to a gapped one in the IR. For this flow we
calculate the recently introduced renormalized entanglement entropy and confirm
that it is a monotonic function.
| [
{
"created": "Wed, 18 Apr 2012 18:50:53 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2012 17:49:52 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Jul 2012 03:12:01 GMT",
"version": "v3"
}
] | 2012-07-13 | [
[
"Klebanov",
"Igor R.",
""
],
[
"Nishioka",
"Tatsuma",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Safdi",
"Benjamin R.",
""
]
] | We use a mix of field theoretic and holographic techniques to elucidate various properties of quantum entanglement entropy. In (3+1)-dimensional conformal field theory we study the divergent terms in the entropy when the entangling surface has a conical or a wedge singularity. In (2+1)-dimensional field theory with a mass gap we calculate, for an arbitrary smooth entanglement contour, the expansion of the entropy in inverse odd powers of the mass. We show that the shape-dependent coefficients that arise are even powers of the extrinsic curvature and its derivatives. A useful dual construction of a (2+1)-dimensional theory, which allows us to exhibit these properties, is provided by the CGLP background. This smooth warped throat solution of 11-dimensional supergravity describes renormalization group flow from a conformal field theory in the UV to a gapped one in the IR. For this flow we calculate the recently introduced renormalized entanglement entropy and confirm that it is a monotonic function. |
1206.6895 | Robert Shrock | Thomas A. Ryttov and Robert Shrock | An Analysis of Scheme Transformations in the Vicinity of an Infrared
Fixed Point | 21 pages, latex | Phys. Rev. D86, 085005 (2012) | 10.1103/PhysRevD.86.085005 | HU, YITP-SB-12-22 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a detailed analysis of the effects of scheme transformations in the
vicinity of an exact or approximate infrared fixed point in an asymptotically
free gauge theory with fermions. We list necessary conditions that such
transformations must obey and show that, although these can easily be satisfied
in the vicinity of an ultraviolet fixed point, they constitute significant
restrictions on scheme transformations at an infrared fixed point. We construct
acceptable scheme transformations and use these to study the scheme-dependence
of an infrared fixed point, making comparison with our previous three-loop and
four-loop calculations of the location of this point in the $\bar{MS}$ scheme.
We also use an illustrative hypothetical exact $\beta$ function to investigate
how accurately analyses of finite-order series expansions probe an infrared
fixed point and the effect of a scheme transformation on these. Some
implications of our work are discussed.
| [
{
"created": "Thu, 28 Jun 2012 20:17:57 GMT",
"version": "v1"
}
] | 2012-10-05 | [
[
"Ryttov",
"Thomas A.",
""
],
[
"Shrock",
"Robert",
""
]
] | We give a detailed analysis of the effects of scheme transformations in the vicinity of an exact or approximate infrared fixed point in an asymptotically free gauge theory with fermions. We list necessary conditions that such transformations must obey and show that, although these can easily be satisfied in the vicinity of an ultraviolet fixed point, they constitute significant restrictions on scheme transformations at an infrared fixed point. We construct acceptable scheme transformations and use these to study the scheme-dependence of an infrared fixed point, making comparison with our previous three-loop and four-loop calculations of the location of this point in the $\bar{MS}$ scheme. We also use an illustrative hypothetical exact $\beta$ function to investigate how accurately analyses of finite-order series expansions probe an infrared fixed point and the effect of a scheme transformation on these. Some implications of our work are discussed. |
2201.05952 | Yiyang Jia | Yiyang Jia, Dario Rosa, Jacobus J. M. Verbaarschot | Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev
Model | To be submitted to the Dyson memorial volume of the Journal of
Mathematical Physics | null | 10.1063/5.0086748 | null | hep-th cond-mat.dis-nn nucl-th | http://creativecommons.org/licenses/by/4.0/ | We analyze a two-body nonhermitian two-site Sachdev-Ye-Kitaev model with the
couplings of one site complex conjugated to the other site. This model, with no
explicit coupling between the sites, shows an infinite number of phase
transitions which is a consequence of the partition function factorizing into a
product over Matsubara frequencies. We calculate the quenched free energy in
two different ways, first in terms of the single-particle energies, and second
by solving the Schwinger-Dyson equations. The first calculation can be done
entirely in terms of a one-site model. The conjugate replica enters due to
non-analyticities when Matsubara frequencies enter the spectral support of the
coupling matrix. The second calculation is based on the replica trick of the
two-site partition function. Both methods give the same result. The
free-fermion partition function can be rephrased as a matrix model for the
coupling matrix. Up to minor details, this model is the random matrix model
that describes the chiral phase transition of QCD, and the order parameter of
the two-body model corresponds to the chiral condensate of QCD. Comparing to
the corresponding four-body model, we are able to determine which features of
the free energy are due to chaotic nature of the four-body model. The
high-temperature phase of both models is entropy dominated, and in both cases
is determined by the spectral density. The four-body SYK model has a
low-temperature phase whose free energy is almost temperature-independent,
signaling an effective gap of the theory even though the actual spectrum does
not exhibit a gap. However the low-temperature free energy of the two-body SYK
model is not flat, in fact it oscillates to arbitrarily low temperature. This
indicates a less desirable feature that the entropy of the two-body model is
not always positive, which most likely is a consequence of the nonhermiticity.
| [
{
"created": "Sun, 16 Jan 2022 02:57:40 GMT",
"version": "v1"
}
] | 2022-10-26 | [
[
"Jia",
"Yiyang",
""
],
[
"Rosa",
"Dario",
""
],
[
"Verbaarschot",
"Jacobus J. M.",
""
]
] | We analyze a two-body nonhermitian two-site Sachdev-Ye-Kitaev model with the couplings of one site complex conjugated to the other site. This model, with no explicit coupling between the sites, shows an infinite number of phase transitions which is a consequence of the partition function factorizing into a product over Matsubara frequencies. We calculate the quenched free energy in two different ways, first in terms of the single-particle energies, and second by solving the Schwinger-Dyson equations. The first calculation can be done entirely in terms of a one-site model. The conjugate replica enters due to non-analyticities when Matsubara frequencies enter the spectral support of the coupling matrix. The second calculation is based on the replica trick of the two-site partition function. Both methods give the same result. The free-fermion partition function can be rephrased as a matrix model for the coupling matrix. Up to minor details, this model is the random matrix model that describes the chiral phase transition of QCD, and the order parameter of the two-body model corresponds to the chiral condensate of QCD. Comparing to the corresponding four-body model, we are able to determine which features of the free energy are due to chaotic nature of the four-body model. The high-temperature phase of both models is entropy dominated, and in both cases is determined by the spectral density. The four-body SYK model has a low-temperature phase whose free energy is almost temperature-independent, signaling an effective gap of the theory even though the actual spectrum does not exhibit a gap. However the low-temperature free energy of the two-body SYK model is not flat, in fact it oscillates to arbitrarily low temperature. This indicates a less desirable feature that the entropy of the two-body model is not always positive, which most likely is a consequence of the nonhermiticity. |
1003.2769 | Pouria Pedram | Pouria Pedram | On the modification of Hamiltonians' spectrum in gravitational quantum
mechanics | 11 pages, to appear in Europhysics Letters | EPL 89 (2010) 50008 | 10.1209/0295-5075/89/50008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Different candidates of Quantum Gravity such as String Theory, Doubly Special
Relativity, Loop Quantum Gravity and black hole physics all predict the
existence of a minimum observable length or a maximum observable momentum which
modifies the Heisenberg uncertainty principle. This modified version is usually
called the Generalized (Gravitational) Uncertainty Principle (GUP) and changes
all Hamiltonians in quantum mechanics. In this Letter, we use a recently
proposed GUP which is consistent with String Theory, Doubly Special Relativity
and black hole physics and predicts both a minimum measurable length and a
maximum measurable momentum. This form of GUP results in two additional terms
in any quantum mechanical Hamiltonian, proportional to $\alpha p^3$ and
$\alpha^2 p^4$, respectively, where $\alpha \sim 1/M_{Pl}c$ is the GUP
parameter. By considering both terms as perturbations, we study two quantum
mechanical systems in the framework of the proposed GUP: a particle in a box
and a simple harmonic oscillator. We demonstrate that, for the general
polynomial potentials, the corrections to the highly excited eigenenergies are
proportional to their square values. We show that this result is exact for the
case of a particle in a box.
| [
{
"created": "Sun, 14 Mar 2010 08:06:26 GMT",
"version": "v1"
}
] | 2010-11-30 | [
[
"Pedram",
"Pouria",
""
]
] | Different candidates of Quantum Gravity such as String Theory, Doubly Special Relativity, Loop Quantum Gravity and black hole physics all predict the existence of a minimum observable length or a maximum observable momentum which modifies the Heisenberg uncertainty principle. This modified version is usually called the Generalized (Gravitational) Uncertainty Principle (GUP) and changes all Hamiltonians in quantum mechanics. In this Letter, we use a recently proposed GUP which is consistent with String Theory, Doubly Special Relativity and black hole physics and predicts both a minimum measurable length and a maximum measurable momentum. This form of GUP results in two additional terms in any quantum mechanical Hamiltonian, proportional to $\alpha p^3$ and $\alpha^2 p^4$, respectively, where $\alpha \sim 1/M_{Pl}c$ is the GUP parameter. By considering both terms as perturbations, we study two quantum mechanical systems in the framework of the proposed GUP: a particle in a box and a simple harmonic oscillator. We demonstrate that, for the general polynomial potentials, the corrections to the highly excited eigenenergies are proportional to their square values. We show that this result is exact for the case of a particle in a box. |
hep-th/0002168 | Thompson | George Thompson | Holomorphic Vector Bundles, Knots and the Rozansky-Witten Invariants | LaTeX, 21 pages. Added a section on the construction of
hyper-holomorphic vector bundles, a reference and acknowledgements. Version
to be published in Adv. in Theor. Phys | Adv.Theor.Math.Phys. 5 (2002) 457-481 | null | IC/2000/9 | hep-th math.GT | null | Link invariants, for 3-manifolds, are defined in the context of the
Rozansky-Witten theory. To each knot in the link one associates a holomorphic
bundle over a holomorphic symplectic manifold X. The invariants are evaluated
for b_{1}(M) \geq 1 and X Hyper-Kaehler. To obtain invariants of Hyper-Kaehler
X one finds that the holomorphic vector bundles must be hyper-holomorphic. This
condition is derived and explained. Some results for X not Hyper-Kaehler are
presented.
| [
{
"created": "Mon, 21 Feb 2000 16:00:29 GMT",
"version": "v1"
},
{
"created": "Sun, 7 May 2000 13:55:05 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Oct 2001 14:57:12 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Thompson",
"George",
""
]
] | Link invariants, for 3-manifolds, are defined in the context of the Rozansky-Witten theory. To each knot in the link one associates a holomorphic bundle over a holomorphic symplectic manifold X. The invariants are evaluated for b_{1}(M) \geq 1 and X Hyper-Kaehler. To obtain invariants of Hyper-Kaehler X one finds that the holomorphic vector bundles must be hyper-holomorphic. This condition is derived and explained. Some results for X not Hyper-Kaehler are presented. |
1709.10101 | Onkar Parrikar | Donald Marolf, Onkar Parrikar, Charles Rabideau, Ali Izadi Rad and
Mark Van Raamsdonk | From Euclidean Sources to Lorentzian Spacetimes in Holographic Conformal
Field Theories | 36 pages, 3 figures | null | 10.1007/JHEP06(2018)077 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider states of holographic conformal field theories constructed by
adding sources for local operators in the Euclidean path integral, with the aim
of investigating the extent to which arbitrary bulk coherent states can be
represented by such Euclidean path-integrals in the CFT. We construct the
associated dual Lorentzian spacetimes perturbatively in the sources. Extending
earlier work, we provide explicit formulae for the Lorentzian fields to first
order in the sources for general scalar field and metric perturbations in
arbitrary dimensions. We check the results by holographically computing the
Lorentzian one-point functions for the sourced operators and comparing with a
direct CFT calculation. We present evidence that at the linearized level,
arbitrary bulk initial data profiles can be generated by an appropriate choice
of Euclidean sources. However, in order to produce initial data that is very
localized, the amplitude must be taken small at the same time otherwise the
required sources diverge, invalidating the perturbative approach.
| [
{
"created": "Thu, 28 Sep 2017 17:59:59 GMT",
"version": "v1"
}
] | 2018-08-01 | [
[
"Marolf",
"Donald",
""
],
[
"Parrikar",
"Onkar",
""
],
[
"Rabideau",
"Charles",
""
],
[
"Rad",
"Ali Izadi",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] | We consider states of holographic conformal field theories constructed by adding sources for local operators in the Euclidean path integral, with the aim of investigating the extent to which arbitrary bulk coherent states can be represented by such Euclidean path-integrals in the CFT. We construct the associated dual Lorentzian spacetimes perturbatively in the sources. Extending earlier work, we provide explicit formulae for the Lorentzian fields to first order in the sources for general scalar field and metric perturbations in arbitrary dimensions. We check the results by holographically computing the Lorentzian one-point functions for the sourced operators and comparing with a direct CFT calculation. We present evidence that at the linearized level, arbitrary bulk initial data profiles can be generated by an appropriate choice of Euclidean sources. However, in order to produce initial data that is very localized, the amplitude must be taken small at the same time otherwise the required sources diverge, invalidating the perturbative approach. |
2307.16805 | Esra Sablevice | Esra Sablevice, Peter Millington | Poincar\'{e} symmetries and representations in pseudo-Hermitian quantum
field theory | 49 pages, revtex format; discussion of fermions and the C operator
extended; to match published version | Phys. Rev. D 109 (2024) 6, 065012 | 10.1103/PhysRevD.109.065012 | null | hep-th math-ph math.MP quant-ph | http://creativecommons.org/licenses/by/4.0/ | This paper explores quantum field theories with pseudo-Hermitian
Hamiltonians, where PT-symmetric Hamiltonians serve as a special case. In
specific regimes, these pseudo-Hermitian Hamiltonians have real eigenspectra,
orthogonal eigenstates, and unitary time evolution. So far, most
pseudo-Hermitian quantum field theories have been constructed using analytic
continuation or by adding non-Hermitian terms to otherwise Hermitian
Hamiltonians. However, in this paper, we take a different approach. We
construct pseudo-Hermitian scalar and fermionic quantum field theories from
first principles by extending the Poincar\'e algebra to include non-Hermitian
generators. This allows us to develop consistent pseudo-Hermitian quantum field
theories, with Lagrangian densities that transform appropriately under the
proper Poincar\'e group. By doing so, we establish a more solid theoretical
foundation for the emerging field of non-Hermitian quantum field theory.
| [
{
"created": "Mon, 31 Jul 2023 16:17:20 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 2024 12:27:01 GMT",
"version": "v2"
}
] | 2024-04-04 | [
[
"Sablevice",
"Esra",
""
],
[
"Millington",
"Peter",
""
]
] | This paper explores quantum field theories with pseudo-Hermitian Hamiltonians, where PT-symmetric Hamiltonians serve as a special case. In specific regimes, these pseudo-Hermitian Hamiltonians have real eigenspectra, orthogonal eigenstates, and unitary time evolution. So far, most pseudo-Hermitian quantum field theories have been constructed using analytic continuation or by adding non-Hermitian terms to otherwise Hermitian Hamiltonians. However, in this paper, we take a different approach. We construct pseudo-Hermitian scalar and fermionic quantum field theories from first principles by extending the Poincar\'e algebra to include non-Hermitian generators. This allows us to develop consistent pseudo-Hermitian quantum field theories, with Lagrangian densities that transform appropriately under the proper Poincar\'e group. By doing so, we establish a more solid theoretical foundation for the emerging field of non-Hermitian quantum field theory. |
2205.03359 | Ivan K. Kostov | Ivan Kostov | Two-dimensional massive integrable models on a torus | 34 pages, 11 figures, a typo corrected | null | 10.1007/JHEP09(2022)119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The finite-volume thermodynamics of a massive integrable QFT is described in
terms of a grand canonical ensemble of loops immersed in a torus and
interacting through scattering factors associated with their intersections. The
path integral of the loops is evaluated explicitly after decoupling the
pairwise interactions by a Hubbard-Stratonovich transformation. The HS fields
are holomorphic fields depending on the rapidity and can be expanded in
elementary oscillators. The torus partition function is expressed as certain
expectation value in the Fock space of these oscillators. In the limit where
one of the periods of the torus becomes asymptotically large, the effective
field theory becomes mean field type. The mean field describes the
infinite-volume thermodynamics which is solved by the Thermodynamical Bethe
Ansatz.
| [
{
"created": "Fri, 6 May 2022 16:50:17 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2022 12:42:38 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Apr 2023 18:19:20 GMT",
"version": "v3"
}
] | 2023-04-07 | [
[
"Kostov",
"Ivan",
""
]
] | The finite-volume thermodynamics of a massive integrable QFT is described in terms of a grand canonical ensemble of loops immersed in a torus and interacting through scattering factors associated with their intersections. The path integral of the loops is evaluated explicitly after decoupling the pairwise interactions by a Hubbard-Stratonovich transformation. The HS fields are holomorphic fields depending on the rapidity and can be expanded in elementary oscillators. The torus partition function is expressed as certain expectation value in the Fock space of these oscillators. In the limit where one of the periods of the torus becomes asymptotically large, the effective field theory becomes mean field type. The mean field describes the infinite-volume thermodynamics which is solved by the Thermodynamical Bethe Ansatz. |
hep-th/9704077 | Pedro. Silva | Pedro J. Silva (Newcastle University U.K.) | General D-branes solutions from string theory | 9 pages, RevTeX | null | null | NCL-TP2 | hep-th | null | We give the general solution for the elementary and solitonic D-brane
configurations as a result of a reinterpretation of the already known p-branes.
These solutions are found by means of a relevant conformal transformation on
the string inspired action and its dual form. From this point of view, the
nature of the electric and magnetic charge is clearer and the elementary and
solitonic behaviour dependence on the initial lagrangian set. We give a
complete characterisation of the spacetime defined by these solutions. The dual
pair of instanton and 7-brane solution is presented as an example.
| [
{
"created": "Wed, 9 Apr 1997 18:23:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Silva",
"Pedro J.",
"",
"Newcastle University U.K."
]
] | We give the general solution for the elementary and solitonic D-brane configurations as a result of a reinterpretation of the already known p-branes. These solutions are found by means of a relevant conformal transformation on the string inspired action and its dual form. From this point of view, the nature of the electric and magnetic charge is clearer and the elementary and solitonic behaviour dependence on the initial lagrangian set. We give a complete characterisation of the spacetime defined by these solutions. The dual pair of instanton and 7-brane solution is presented as an example. |
1010.2068 | Jianxin Lu | J. X. Lu, Shibaji Roy and Zhiguang Xiao | Phase transitions and critical behavior of black branes in canonical
ensemble | 37 pages, 6 figures, the validity of using the effective action
discussed, references added | JHEP 1101:133,2011 | 10.1007/JHEP01(2011)133 | USTC-ICTS-10-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamics and phase structure of asymptotically flat
non-dilatonic as well as dilatonic black branes in a cavity in arbitrary
dimensions ($D$). We consider the canonical ensemble and so the charge inside
the cavity and the temperature at the wall are fixed. We analyze the stability
of the black brane equilibrium states and derive the phase structures. For the
zero charge case we find an analog of Hawking-Page phase transition for these
black branes in arbitrary dimensions. When the charge is non-zero, we find that
below a critical value of the charge, the phase diagram has a line of
first-order phase transition in a certain range of temperatures which ends up
at a second order phase transition point (critical point) as the charge attains
the critical value. We calculate the critical exponents at that critical point.
Although our discussion is mainly concerned with the non-dilatonic branes, we
show how it easily carries over to the dilatonic branes as well.
| [
{
"created": "Mon, 11 Oct 2010 11:37:59 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jan 2011 02:35:35 GMT",
"version": "v2"
}
] | 2011-02-01 | [
[
"Lu",
"J. X.",
""
],
[
"Roy",
"Shibaji",
""
],
[
"Xiao",
"Zhiguang",
""
]
] | We study the thermodynamics and phase structure of asymptotically flat non-dilatonic as well as dilatonic black branes in a cavity in arbitrary dimensions ($D$). We consider the canonical ensemble and so the charge inside the cavity and the temperature at the wall are fixed. We analyze the stability of the black brane equilibrium states and derive the phase structures. For the zero charge case we find an analog of Hawking-Page phase transition for these black branes in arbitrary dimensions. When the charge is non-zero, we find that below a critical value of the charge, the phase diagram has a line of first-order phase transition in a certain range of temperatures which ends up at a second order phase transition point (critical point) as the charge attains the critical value. We calculate the critical exponents at that critical point. Although our discussion is mainly concerned with the non-dilatonic branes, we show how it easily carries over to the dilatonic branes as well. |
1112.4538 | Zohar Komargodski | Zohar Komargodski | The Constraints of Conformal Symmetry on RG Flows | 25 pages, 5 figures | null | 10.1007/JHEP07(2012)069 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If the coupling constants in QFT are promoted to functions of space-time, the
dependence of the path integral on these couplings is highly constrained by
conformal symmetry. We begin the present note by showing that this idea leads
to a new proof of Zamolodchikov's theorem. We then review how this simple
observation also leads to a derivation of the a-theorem. We exemplify the
general procedure in some interacting theories in four space-time dimensions.
We concentrate on Banks-Zaks and weakly relevant flows, which can be controlled
by ordinary and conformal perturbation theories, respectively. We compute
explicitly the dependence of the path integral on the coupling constants and
extract the change in the a-anomaly (this agrees with more conventional
computations of the same quantity). We also discuss some general properties of
the sum rule found in arXiv:1107.3987 and study it in several examples.
| [
{
"created": "Tue, 20 Dec 2011 00:47:45 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Komargodski",
"Zohar",
""
]
] | If the coupling constants in QFT are promoted to functions of space-time, the dependence of the path integral on these couplings is highly constrained by conformal symmetry. We begin the present note by showing that this idea leads to a new proof of Zamolodchikov's theorem. We then review how this simple observation also leads to a derivation of the a-theorem. We exemplify the general procedure in some interacting theories in four space-time dimensions. We concentrate on Banks-Zaks and weakly relevant flows, which can be controlled by ordinary and conformal perturbation theories, respectively. We compute explicitly the dependence of the path integral on the coupling constants and extract the change in the a-anomaly (this agrees with more conventional computations of the same quantity). We also discuss some general properties of the sum rule found in arXiv:1107.3987 and study it in several examples. |
hep-th/0206091 | Konstadinos Sfetsos | Konstadinos Sfetsos | String backgrounds and LCFT | 13 pages, Latex. v2: some refs. added, version to appear in PLB | Phys.Lett. B543 (2002) 73-80 | 10.1016/S0370-2693(02)02421-8 | null | hep-th | null | We describe a large class of exact string backgrounds with a null Killing
vector arising, via a limiting \`a la Penrose procedure, from string
backgrounds corresponding to coset conformal field theories for compact groups
G_N/H_N times a free time-like boson U(1)_{-N}. In this way a class of novel
logarithmic conformal field theories (LCFT) emerges, that includes the one
constructed recently as an N\to \infty limit of the SU(2)_N/U(1) X U(1)_{-N}
theory. We explicitly give the exact operator algebra for the basic chiral
fields as well as their representation in terms of free bosons, even though
these are not known in general at finite N. We also compute four-point
functions of various operators in the theory. For the cases of the four- and
five-dimensional models, corresponding to a limit of the theory SO(D+1)_N/SO(D)
X U(1)_{-N} for D=3 and 4, we also present the explicit expressions for the
background fields.
| [
{
"created": "Tue, 11 Jun 2002 17:45:04 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jul 2002 08:14:01 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Sfetsos",
"Konstadinos",
""
]
] | We describe a large class of exact string backgrounds with a null Killing vector arising, via a limiting \`a la Penrose procedure, from string backgrounds corresponding to coset conformal field theories for compact groups G_N/H_N times a free time-like boson U(1)_{-N}. In this way a class of novel logarithmic conformal field theories (LCFT) emerges, that includes the one constructed recently as an N\to \infty limit of the SU(2)_N/U(1) X U(1)_{-N} theory. We explicitly give the exact operator algebra for the basic chiral fields as well as their representation in terms of free bosons, even though these are not known in general at finite N. We also compute four-point functions of various operators in the theory. For the cases of the four- and five-dimensional models, corresponding to a limit of the theory SO(D+1)_N/SO(D) X U(1)_{-N} for D=3 and 4, we also present the explicit expressions for the background fields. |
hep-th/0412105 | Angel Paredes | A. Paredes | Supersymmetry and flavor in a sugra dual of N=1 Yang-Mills | 7 pages, 2 figures. Contribution to the proceedings of the 37
Symposium Ahrenshoop, 23-27 August 2004, Germany; reference added | Fortsch.Phys. 53 (2005) 561-566 | 10.1002/prop.200410219 | CPHT-PC 067.1204 | hep-th | null | Some field theory aspects can be addressed holographically by introducing
D-branes in the string theory duals. In this work, we study this issue in the
framework of a dual of N=1 YM, the so-called Maldacena-Nunez model. Some
supersymmetric embeddings for D5-brane probes are found and they are
interpreted as the addition of fundamental flavors to the gauge theory. This
allows to give a dual description of some known aspects of N=1 SQCD and to
compute a mass spectrum of mesons.
| [
{
"created": "Fri, 10 Dec 2004 12:52:38 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jan 2005 11:18:09 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Paredes",
"A.",
""
]
] | Some field theory aspects can be addressed holographically by introducing D-branes in the string theory duals. In this work, we study this issue in the framework of a dual of N=1 YM, the so-called Maldacena-Nunez model. Some supersymmetric embeddings for D5-brane probes are found and they are interpreted as the addition of fundamental flavors to the gauge theory. This allows to give a dual description of some known aspects of N=1 SQCD and to compute a mass spectrum of mesons. |
hep-th/0701002 | Jiang Qing-Quan | Qing-Quan Jiang, Shuang-Qing Wu | Hawking radiation from rotating black holes in anti-de Sitter spaces via
gauge and gravitational anomalies | 15 pages | Phys.Lett.B647:200-206,2007 | 10.1016/j.physletb.2007.01.058 | null | hep-th astro-ph gr-qc | null | Robinson-Wilczek's recent work, which treats Hawking radiation as a
compensating flux to cancel gravitational anomaly at the horizon of a
Schwarzschild-type black hole, is extended to study Hawking radiation of
rotating black holes in anti-de Sitter spaces, especially that in dragging
coordinate system, via gauge and gravitational anomalies. The results show that
in order to restore gauge invariance and general coordinate covariance at the
quantum level in the effective field theory, the charge and energy flux by
requiring to cancel gauge and gravitational anomalies at the horizon, must have
a form equivalent to that of a $(1+1)$-dimensional blackbody radiation at
Hawking temperature with an appropriate chemical potential.
| [
{
"created": "Sat, 30 Dec 2006 07:30:32 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jan 2007 03:31:23 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jan 2007 02:37:25 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Jiang",
"Qing-Quan",
""
],
[
"Wu",
"Shuang-Qing",
""
]
] | Robinson-Wilczek's recent work, which treats Hawking radiation as a compensating flux to cancel gravitational anomaly at the horizon of a Schwarzschild-type black hole, is extended to study Hawking radiation of rotating black holes in anti-de Sitter spaces, especially that in dragging coordinate system, via gauge and gravitational anomalies. The results show that in order to restore gauge invariance and general coordinate covariance at the quantum level in the effective field theory, the charge and energy flux by requiring to cancel gauge and gravitational anomalies at the horizon, must have a form equivalent to that of a $(1+1)$-dimensional blackbody radiation at Hawking temperature with an appropriate chemical potential. |
hep-th/0511122 | Nikolaos Prezas | Pantelis Manousselis, Nikolaos Prezas, George Zoupanos | Supersymmetric compactifications of heterotic strings with fluxes and
condensates | 27 pages; v3 final version to appear in Nucl. Phys. B | Nucl.Phys.B739:85-105,2006 | 10.1016/j.nuclphysb.2006.01.008 | null | hep-th hep-ph | null | We discuss supersymmetric compactifications of heterotic strings in the
presence of H-flux and general condensates using the formalism of G-structures
and intrinsic torsion. We revisit the examples based on nearly-Kaehler coset
spaces and show that supersymmetric solutions, where the Bianchi identity is
satisfied, can be obtained when both gaugino and dilatino condensates are
present.
| [
{
"created": "Thu, 10 Nov 2005 21:18:06 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Nov 2005 19:32:47 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Jan 2006 11:56:08 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Manousselis",
"Pantelis",
""
],
[
"Prezas",
"Nikolaos",
""
],
[
"Zoupanos",
"George",
""
]
] | We discuss supersymmetric compactifications of heterotic strings in the presence of H-flux and general condensates using the formalism of G-structures and intrinsic torsion. We revisit the examples based on nearly-Kaehler coset spaces and show that supersymmetric solutions, where the Bianchi identity is satisfied, can be obtained when both gaugino and dilatino condensates are present. |
2408.00826 | Takato Mori Dr. | Rathindra Nath Das, Takato Mori | Krylov complexity of purification | 11 pages, 5 figures; Lloyd bound with the energy is added and a
slight rearrangement of texts, typos are corrected, references are added | null | null | YITP-24-94 | hep-th cond-mat.stat-mech quant-ph | http://creativecommons.org/licenses/by/4.0/ | Purification maps a mixed state to a pure state and a non-unitary evolution
into a unitary one by enlarging the Hilbert space. We link the operator
complexity of the density matrix to the state/operator complexity of purified
states using three purification schemes: time-independent, time-dependent, and
instantaneous purification. We propose inequalities among the operator and
state complexities of mixed states and their purifications, demonstrated with a
single qubit, two-qubit Werner states, and infinite-dimensional diagonal mixed
states. We find that the complexity of a vacuum evolving into a thermal state
equals the average number of Rindler particles created between left and right
Rindler wedges. Finally, for the thermofield double state evolving from zero to
finite temperature, we show that 1) the state complexity follows the Lloyd
bound, reminiscent of the quantum speed limit, and 2) the Krylov state/operator
complexities are subadditive in contrast to the holographic volume complexity.
| [
{
"created": "Thu, 1 Aug 2024 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Aug 2024 21:31:58 GMT",
"version": "v2"
}
] | 2024-08-15 | [
[
"Das",
"Rathindra Nath",
""
],
[
"Mori",
"Takato",
""
]
] | Purification maps a mixed state to a pure state and a non-unitary evolution into a unitary one by enlarging the Hilbert space. We link the operator complexity of the density matrix to the state/operator complexity of purified states using three purification schemes: time-independent, time-dependent, and instantaneous purification. We propose inequalities among the operator and state complexities of mixed states and their purifications, demonstrated with a single qubit, two-qubit Werner states, and infinite-dimensional diagonal mixed states. We find that the complexity of a vacuum evolving into a thermal state equals the average number of Rindler particles created between left and right Rindler wedges. Finally, for the thermofield double state evolving from zero to finite temperature, we show that 1) the state complexity follows the Lloyd bound, reminiscent of the quantum speed limit, and 2) the Krylov state/operator complexities are subadditive in contrast to the holographic volume complexity. |
hep-th/0310256 | Markus P\"ossel | Markus P\"ossel and Sebastian Silva | Hidden symmetries in minimal five-dimensional supergravity | 11 pages LaTeX, uses elsart and amssymb | Phys.Lett. B580 (2004) 273-279 | 10.1016/j.physletb.2003.11.036 | AEI-2003-089 | hep-th | null | We study the hidden symmetries arising in the dimensional reduction of d=5,
N=2 supergravity to three dimensions. Extending previous partial results for
the bosonic part, we give a derivation that includes fermionic terms, shedding
light on the appearance of the local hidden symmetry SO(4) in the reduction.
| [
{
"created": "Tue, 28 Oct 2003 14:33:16 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Pössel",
"Markus",
""
],
[
"Silva",
"Sebastian",
""
]
] | We study the hidden symmetries arising in the dimensional reduction of d=5, N=2 supergravity to three dimensions. Extending previous partial results for the bosonic part, we give a derivation that includes fermionic terms, shedding light on the appearance of the local hidden symmetry SO(4) in the reduction. |
2106.12760 | Scott Collier | Scott Collier and Alexander Maloney | Wormholes and Spectral Statistics in the Narain Ensemble | 39 pages + appendices. v2: references added, typos corrected | null | 10.1007/JHEP03(2022)004 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the spectral statistics of primary operators in the recently
formulated ensemble average of Narain's family of free boson conformal field
theories, which provides an explicit (though exotic) example of an averaged
holographic duality. In particular we study moments of the partition function
by explicit computation of higher-degree Eisenstein series. This describes the
analog of wormhole contributions coming from a sum of over geometries in the
dual theory of "U(1) gravity" in AdS$_3$. We give an exact formula for the
two-point correlation function of the density of primary states. We compute the
spectral form factor and show that the wormhole sum reproduces precisely the
late time plateau behaviour related to the discreteness of the spectrum. The
spectral form factor does not exhibit a linear ramp.
| [
{
"created": "Thu, 24 Jun 2021 04:06:18 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jul 2021 15:45:09 GMT",
"version": "v2"
}
] | 2022-03-14 | [
[
"Collier",
"Scott",
""
],
[
"Maloney",
"Alexander",
""
]
] | We study the spectral statistics of primary operators in the recently formulated ensemble average of Narain's family of free boson conformal field theories, which provides an explicit (though exotic) example of an averaged holographic duality. In particular we study moments of the partition function by explicit computation of higher-degree Eisenstein series. This describes the analog of wormhole contributions coming from a sum of over geometries in the dual theory of "U(1) gravity" in AdS$_3$. We give an exact formula for the two-point correlation function of the density of primary states. We compute the spectral form factor and show that the wormhole sum reproduces precisely the late time plateau behaviour related to the discreteness of the spectrum. The spectral form factor does not exhibit a linear ramp. |
hep-th/0007161 | A. B. Balantekin | A.B. Balantekin (Wisconsin U., Madison and Max-Planck-Institute,
Heidelberg) | Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition
Function | 14 pages, REVTEX | Phys.Rev. D62 (2000) 085017 | 10.1103/PhysRevD.62.085017 | null | hep-th cond-mat hep-lat hep-ph nucl-th | null | A combinatorial formula to generate U(N) character expansions is presented.
It is shown that the resulting character expansion formulas greatly simplify a
number of problems where integrals over the group manifolds need to be
calculated. Several examples are given, including direct and very quick
calculations of the Itzykson-Zuber integral and the finite volume effective
partition function of QCD in the sector with a given topological charge.
| [
{
"created": "Thu, 20 Jul 2000 10:25:21 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jul 2000 09:38:24 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Jun 2001 08:59:31 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Balantekin",
"A. B.",
"",
"Wisconsin U., Madison and Max-Planck-Institute,\n Heidelberg"
]
] | A combinatorial formula to generate U(N) character expansions is presented. It is shown that the resulting character expansion formulas greatly simplify a number of problems where integrals over the group manifolds need to be calculated. Several examples are given, including direct and very quick calculations of the Itzykson-Zuber integral and the finite volume effective partition function of QCD in the sector with a given topological charge. |
1507.07921 | William Donnelly | William Donnelly and Steven B. Giddings | Diffeomorphism-invariant observables and their nonlocal algebra | 31 pages, latex. v2: Misc. enhancements, detailed in comments in tex
file; eliminated commutator not matching locality bound. v3: Corrected
expression for the ADM momentum | Phys. Rev. D 93, 024030 (2016) | 10.1103/PhysRevD.93.024030 | NSF-KITP-15-133 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge-invariant observables for quantum gravity are described, with explicit
constructions given primarily to leading order in Newton's constant, analogous
to and extending constructions first given by Dirac in quantum electrodynamics.
These can be thought of as operators that create a particle, together with its
inseparable gravitational field, and reduce to usual field operators of quantum
field theory in the weak-gravity limit; they include both Wilson-line
operators, and those creating a Coulombic field configuration. We also describe
operators creating the field of a particle in motion; as in the electromagnetic
case, these are expected to help address infrared problems. An important
characteristic of the quantum theory of gravity is the algebra of its
observables. We show that the commutators of the simple observables of this
paper are nonlocal, with nonlocality becoming significant in strong field
regions, as predicted previously on general grounds.
| [
{
"created": "Tue, 28 Jul 2015 20:00:26 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 2015 21:21:22 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Jul 2016 21:26:10 GMT",
"version": "v3"
}
] | 2016-07-19 | [
[
"Donnelly",
"William",
""
],
[
"Giddings",
"Steven B.",
""
]
] | Gauge-invariant observables for quantum gravity are described, with explicit constructions given primarily to leading order in Newton's constant, analogous to and extending constructions first given by Dirac in quantum electrodynamics. These can be thought of as operators that create a particle, together with its inseparable gravitational field, and reduce to usual field operators of quantum field theory in the weak-gravity limit; they include both Wilson-line operators, and those creating a Coulombic field configuration. We also describe operators creating the field of a particle in motion; as in the electromagnetic case, these are expected to help address infrared problems. An important characteristic of the quantum theory of gravity is the algebra of its observables. We show that the commutators of the simple observables of this paper are nonlocal, with nonlocality becoming significant in strong field regions, as predicted previously on general grounds. |
1303.3224 | Francisco Pedro | Francisco G. Pedro and Alexander Westphal | The Scale of Inflation in the Landscape | revtex, 6 pages, 3 figures | null | 10.1016/j.physletb.2014.10.022 | DESY-13-044 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the frequency of regions of small-field inflation in the Wigner
landscape as an approximation to random supergravities/type IIB flux
compactifications. We show that small-field inflation occurs exponentially more
often than large-field inflation The power of primordial gravitational waves
from inflation is generically tied to the scale of inflation. For small-field
models this is below observational reach. However, we find small-field
inflation to be dominated by the highest inflationary energy scales compatible
with a sub-Planckian field range. Hence, we expect a typical tensor-to-scalar
ratio $r\sim {\cal O}(10^{-3})$ currently undetectable in upcoming CMB
measurements.
| [
{
"created": "Wed, 13 Mar 2013 17:34:52 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Pedro",
"Francisco G.",
""
],
[
"Westphal",
"Alexander",
""
]
] | We determine the frequency of regions of small-field inflation in the Wigner landscape as an approximation to random supergravities/type IIB flux compactifications. We show that small-field inflation occurs exponentially more often than large-field inflation The power of primordial gravitational waves from inflation is generically tied to the scale of inflation. For small-field models this is below observational reach. However, we find small-field inflation to be dominated by the highest inflationary energy scales compatible with a sub-Planckian field range. Hence, we expect a typical tensor-to-scalar ratio $r\sim {\cal O}(10^{-3})$ currently undetectable in upcoming CMB measurements. |
1712.09898 | Olaf Lechtenfeld | Nikolay Kozyrev, Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin | SU(2$|$1) supersymmetric mechanics on curved spaces | 1+6 pages | null | 10.1007/JHEP05(2018)175 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present SU$(2|1)$ supersymmetric mechanics on $n$-dimensional Riemannian
manifolds within the Hamiltonian approach. The structure functions including
prepotentials entering the supercharges and the Hamiltonian obey extended
curved WDVV equations specified by the manifold's metric and curvature tensor.
We consider the most general $u(2)$-valued prepotential, which contains both
types (with and without spin variables), previously considered only separately.
For the case of real K\"{a}hler manifolds we construct all possible
interactions. For isotropic ($so(n)$-invariant) spaces we provide admissible
prepotentials for any solution to the curved WDVV equations. All known
one-dimensional SU$(2|1)$ supersymmetric models are reproduced.
| [
{
"created": "Thu, 28 Dec 2017 15:36:39 GMT",
"version": "v1"
}
] | 2018-08-16 | [
[
"Kozyrev",
"Nikolay",
""
],
[
"Krivonos",
"Sergey",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Sutulin",
"Anton",
""
]
] | We present SU$(2|1)$ supersymmetric mechanics on $n$-dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the supercharges and the Hamiltonian obey extended curved WDVV equations specified by the manifold's metric and curvature tensor. We consider the most general $u(2)$-valued prepotential, which contains both types (with and without spin variables), previously considered only separately. For the case of real K\"{a}hler manifolds we construct all possible interactions. For isotropic ($so(n)$-invariant) spaces we provide admissible prepotentials for any solution to the curved WDVV equations. All known one-dimensional SU$(2|1)$ supersymmetric models are reproduced. |
hep-th/0206216 | Pietro Antonio Grassi | P.A. Grassi (1), G. Policastro (2), and P. van Nieuwenhuizen (1) ((1)
YITP, Stony Brook, (2) Scuola Normale Superiore, Pisa) | On the BRST Cohomology of Superstrings with/without Pure Spinors | 25 pages, TeX | Adv.Theor.Math.Phys.7:499-524,2003 | null | YITP-SB-02-14 | hep-th | null | We replace our earlier condition that physical states of the superstring have
non-negative grading by the requirement that they are analytic in a new real
commuting constant t which we associate with the central charge of the
underlying Kac-Moody superalgebra. The analogy with the twisted N=2 SYM theory
suggests that our covariant superstring is a twisted version of another
formulation with an equivariant cohomology. We prove that our vertex operators
correspond in one-to-one fashion to the vertex operators in Berkovits' approach
based on pure spinors. Also the zero-momentum cohomology is equal in both
cases. Finally, we apply the methods of equivariant cohomology to the
superstring, and obtain the same BRST charge as obtained earlier by relaxing
the pure spinor constraints.
| [
{
"created": "Mon, 24 Jun 2002 17:07:54 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Grassi",
"P. A.",
""
],
[
"Policastro",
"G.",
""
],
[
"van Nieuwenhuizen",
"P.",
""
]
] | We replace our earlier condition that physical states of the superstring have non-negative grading by the requirement that they are analytic in a new real commuting constant t which we associate with the central charge of the underlying Kac-Moody superalgebra. The analogy with the twisted N=2 SYM theory suggests that our covariant superstring is a twisted version of another formulation with an equivariant cohomology. We prove that our vertex operators correspond in one-to-one fashion to the vertex operators in Berkovits' approach based on pure spinors. Also the zero-momentum cohomology is equal in both cases. Finally, we apply the methods of equivariant cohomology to the superstring, and obtain the same BRST charge as obtained earlier by relaxing the pure spinor constraints. |
hep-th/0603234 | Rolf Schimmrigk | Rolf Schimmrigk | The Langlands Program and String Modular K3 Surfaces | 33 pages | Nucl.Phys.B771:143-166,2007 | 10.1016/j.nuclphysb.2007.01.027 | NSF-KITP-06-23 | hep-th | null | A number theoretic approach to string compactification is developed for
Calabi-Yau hypersurfaces in arbitrary dimensions. The motivic strategy involved
is illustrated by showing that the Hecke eigenforms derived from Galois group
orbits of the holomorphic two-form of a particular type of K3 surfaces can be
expressed in terms of modular forms constructed from the worldsheet theory. The
process of deriving string physics from spacetime geometry can be reversed,
allowing the construction of K3 surface geometry from the string characters of
the partition function. A general argument for K3 modularity follows from
mirror symmetry, in combination with the proof of the Shimura-Taniyama
conjecture.
| [
{
"created": "Wed, 29 Mar 2006 21:40:05 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Schimmrigk",
"Rolf",
""
]
] | A number theoretic approach to string compactification is developed for Calabi-Yau hypersurfaces in arbitrary dimensions. The motivic strategy involved is illustrated by showing that the Hecke eigenforms derived from Galois group orbits of the holomorphic two-form of a particular type of K3 surfaces can be expressed in terms of modular forms constructed from the worldsheet theory. The process of deriving string physics from spacetime geometry can be reversed, allowing the construction of K3 surface geometry from the string characters of the partition function. A general argument for K3 modularity follows from mirror symmetry, in combination with the proof of the Shimura-Taniyama conjecture. |
1611.08978 | Zeinab Dayyani | M. H.Dehghani, A.Sheykhi and Z.Dayyani | Critical behavior of Born-Infeld dilaton black holes | 14 pages, 10 figures. arXiv admin note: substantial text overlap with
arXiv:1611.00590 | Phys. Rev. D 93, 024022 (2016) | 10.1103/PhysRevD.93.024022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the critical behavior of (n+1)-dimensional topological
Born-Infeld-dilaton black holes in an extended phase space. We treat the
cosmological constant and the Born-Infeld (BI) parameter as the thermodynamic
pressure and BI vacuum polarization which can vary. We obtain thermodynamic
quantities of the system such as pressure, temperature, Gibbs free energy, and
investigate the behaviour of these quantities. We also study the analogy of the
van der Waals liquid-gas system with the Born-Infeld-dilaton black holes in
canonical ensemble in which we can treat the black hole charge as a fixed
external parameter. Moreover, we show that the critical values of pressure,
temperature and volume are physical provided the coupling constant of dilaton
gravity is less than one and the horizon is sphere. Finally, we calculate the
critical xponents and show that although thermodynamic quantities depend on the
dilaton oupling constant, BI parameter and the dimension of the spacetime, they
are universal and are independent of metric parameters.
| [
{
"created": "Mon, 28 Nov 2016 04:19:39 GMT",
"version": "v1"
}
] | 2016-11-29 | [
[
"Dehghani",
"M. H.",
""
],
[
"Sheykhi",
"A.",
""
],
[
"Dayyani",
"Z.",
""
]
] | We explore the critical behavior of (n+1)-dimensional topological Born-Infeld-dilaton black holes in an extended phase space. We treat the cosmological constant and the Born-Infeld (BI) parameter as the thermodynamic pressure and BI vacuum polarization which can vary. We obtain thermodynamic quantities of the system such as pressure, temperature, Gibbs free energy, and investigate the behaviour of these quantities. We also study the analogy of the van der Waals liquid-gas system with the Born-Infeld-dilaton black holes in canonical ensemble in which we can treat the black hole charge as a fixed external parameter. Moreover, we show that the critical values of pressure, temperature and volume are physical provided the coupling constant of dilaton gravity is less than one and the horizon is sphere. Finally, we calculate the critical xponents and show that although thermodynamic quantities depend on the dilaton oupling constant, BI parameter and the dimension of the spacetime, they are universal and are independent of metric parameters. |
hep-th/0106219 | Michael Beyer | M. Beyer (U Rostock), S. Mattiello (U Rostock), T. Frederico (Sao
Paulo, Inst. Tech. Aeronautics), H.J. Weber (U Virginia) | Three-quark clusters at finite temperatures and densities | 7 pages, 7 figures | Phys.Lett. B521 (2001) 33-41 | 10.1016/S0370-2693(01)01175-3 | null | hep-th nucl-th | null | We present a relativistic three-body equation to study correlations in a
medium of finite temperatures and densities. This equation is derived within a
systematic Dyson equation approach and includes the dominant medium effects due
to Pauli blocking and self energy corrections. Relativity is implemented
utilizing the light front form. The equation is solved for a zero-range force
for parameters close to the confinement-deconfinement transition of QCD. We
present correlations between two- and three-particle binding energies and
calculate the three-body Mott transition.
| [
{
"created": "Mon, 25 Jun 2001 10:33:28 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Beyer",
"M.",
"",
"U Rostock"
],
[
"Mattiello",
"S.",
"",
"U Rostock"
],
[
"Frederico",
"T.",
"",
"Sao\n Paulo, Inst. Tech. Aeronautics"
],
[
"Weber",
"H. J.",
"",
"U Virginia"
]
] | We present a relativistic three-body equation to study correlations in a medium of finite temperatures and densities. This equation is derived within a systematic Dyson equation approach and includes the dominant medium effects due to Pauli blocking and self energy corrections. Relativity is implemented utilizing the light front form. The equation is solved for a zero-range force for parameters close to the confinement-deconfinement transition of QCD. We present correlations between two- and three-particle binding energies and calculate the three-body Mott transition. |
hep-th/9702090 | Ziemowit Popowicz | Z.Popowicz | Integrable System Constructed out of Two Interacting Superconformal
Fields | 15 pages,latex | J.Phys.A30:7935-7944,1997 | 10.1088/0305-4470/30/22/027 | null | hep-th | null | We describe how it is possible to introduce the interaction between
superconformal fields of the same conformal dimensions. In the classical case
such construction can be used to the construction of the Hirota - Satsuma
equation. We construct supersymmetric Poisson tensor for such fields, which
generates a new class of Hamiltonin systems. We found Lax representation for
one of equation in this class by supersymmetrization Lax operator responsible
for Hirota - Satsuma equation. Interestingly our supersymmetric equation is not
reducible to classical Hirota - Satsuma equation. We show that our generalized
system is reduced to the one of the supersymmetric KDV equation (a=4) but in
this limit integrals of motion are not reduced to integrals of motion of the
supersymmetric KdV equation.
| [
{
"created": "Tue, 11 Feb 1997 15:54:31 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Popowicz",
"Z.",
""
]
] | We describe how it is possible to introduce the interaction between superconformal fields of the same conformal dimensions. In the classical case such construction can be used to the construction of the Hirota - Satsuma equation. We construct supersymmetric Poisson tensor for such fields, which generates a new class of Hamiltonin systems. We found Lax representation for one of equation in this class by supersymmetrization Lax operator responsible for Hirota - Satsuma equation. Interestingly our supersymmetric equation is not reducible to classical Hirota - Satsuma equation. We show that our generalized system is reduced to the one of the supersymmetric KDV equation (a=4) but in this limit integrals of motion are not reduced to integrals of motion of the supersymmetric KdV equation. |
0801.3130 | Marek Rogatko | Gary W.Gibbons and Marek Rogatko | The Decay of Dirac Hair around a Dilaton Black Hole | RevTex, 8 pages, to be published in Phys.Rev.D15 | Phys.Rev.D77:044034,2008 | 10.1103/PhysRevD.77.044034 | null | hep-th gr-qc | null | The intermediate and late-time behaviour of a massive Dirac field in the
background of static spherically symmetric black hole solutions is
investigated. The intermediate asymptotic behaviour of a massive Dirac field
depends on the mass parameter as well as the wave number of the mode, while the
late time behaviour has a power law decay rate independent of both.
| [
{
"created": "Mon, 21 Jan 2008 05:48:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gibbons",
"Gary W.",
""
],
[
"Rogatko",
"Marek",
""
]
] | The intermediate and late-time behaviour of a massive Dirac field in the background of static spherically symmetric black hole solutions is investigated. The intermediate asymptotic behaviour of a massive Dirac field depends on the mass parameter as well as the wave number of the mode, while the late time behaviour has a power law decay rate independent of both. |
2401.14873 | Glenn Barnich | Glenn Barnich, Sucheta Majumdar, Simone Speziale, Wen-Di Tan | Lessons from discrete light-cone quantization for physics at null
infinity: Bosons in two dimensions | 52 pages, 3 figures, cosmetic changes | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Motivated by issues in the context of asymptotically flat spacetimes at null
infinity, we discuss in the simplest example of a massless scalar field in two
dimensions several subtleties that arise when setting up the canonical
formulation on a single or on two intersecting null hyperplanes with a special
emphasis on the infinite-dimensional global and conformal symmetries and their
canonical generators, the free data, a consistent treatment of zero modes,
matching conditions, and implications for quantization of massless versus
massive fields.
| [
{
"created": "Fri, 26 Jan 2024 13:59:38 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2024 19:09:36 GMT",
"version": "v2"
}
] | 2024-05-22 | [
[
"Barnich",
"Glenn",
""
],
[
"Majumdar",
"Sucheta",
""
],
[
"Speziale",
"Simone",
""
],
[
"Tan",
"Wen-Di",
""
]
] | Motivated by issues in the context of asymptotically flat spacetimes at null infinity, we discuss in the simplest example of a massless scalar field in two dimensions several subtleties that arise when setting up the canonical formulation on a single or on two intersecting null hyperplanes with a special emphasis on the infinite-dimensional global and conformal symmetries and their canonical generators, the free data, a consistent treatment of zero modes, matching conditions, and implications for quantization of massless versus massive fields. |
1703.08749 | Yifan Wang | M\'ark Mezei, Silviu S. Pufu, and Yifan Wang | A 2d/1d Holographic Duality | 70 pages plus appendices, 4 figures | null | null | PUPT-2521 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose $AdS_2$/CFT$_1$ dualities between exactly solvable topological
quantum mechanics theories with vector or matrix large $N$ limits (on the
boundary) and weakly coupled gauge theories on a fixed $AdS_2$ background (in
the bulk). The boundary theories can be embedded as 1d sectors of 3d ${\cal N}
= 4$ superconformal field theories with holographic duals, from which they can
be obtained using supersymmetric localization. We study a few examples of such
1d theories: theories with vector large $N$ limits that are embedded into 3d
theories of many free massless hypermultiplets with $AdS_4$ higher spin duals;
and a 1d theory with a matrix large $N$ limit embedded into the 3d ABJM theory
at Chern-Simons level $k=1$, which has an $AdS_4$ supergravity dual. We propose
that the $U(N)$ singlet sectors of the 1d vector models are dual to 2d gauge
theories on $AdS_2$ whose gauge algebras are finite dimensional and whose full
non-linear actions we completely determine in some cases. The 1d theory
embedded into ABJM theory has a $\mathbb{Z}_2$-invariant sector dual to a 2d
gauge theory on $AdS_2$ whose gauge algebra is the infinite dimensional algebra
of area preserving diffeomorphisms of a two-sphere. We provide evidence that
the 2d gauge theories on $AdS_2$ can be obtained from localizing the $AdS_4$
duals of the 3d SCFTs mentioned above, and thus argue that our 2d/1d dualities
can be obtained via supersymmetric localization on both sides of their parent
$AdS_4$/CFT$_3$ dualities. We discuss the boundary terms required by
holographic renormalization in the 2d gauge theories on $AdS_2$ and show how
they arise from supersymmetric localization.
| [
{
"created": "Sun, 26 Mar 2017 00:34:27 GMT",
"version": "v1"
}
] | 2017-03-28 | [
[
"Mezei",
"Márk",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Wang",
"Yifan",
""
]
] | We propose $AdS_2$/CFT$_1$ dualities between exactly solvable topological quantum mechanics theories with vector or matrix large $N$ limits (on the boundary) and weakly coupled gauge theories on a fixed $AdS_2$ background (in the bulk). The boundary theories can be embedded as 1d sectors of 3d ${\cal N} = 4$ superconformal field theories with holographic duals, from which they can be obtained using supersymmetric localization. We study a few examples of such 1d theories: theories with vector large $N$ limits that are embedded into 3d theories of many free massless hypermultiplets with $AdS_4$ higher spin duals; and a 1d theory with a matrix large $N$ limit embedded into the 3d ABJM theory at Chern-Simons level $k=1$, which has an $AdS_4$ supergravity dual. We propose that the $U(N)$ singlet sectors of the 1d vector models are dual to 2d gauge theories on $AdS_2$ whose gauge algebras are finite dimensional and whose full non-linear actions we completely determine in some cases. The 1d theory embedded into ABJM theory has a $\mathbb{Z}_2$-invariant sector dual to a 2d gauge theory on $AdS_2$ whose gauge algebra is the infinite dimensional algebra of area preserving diffeomorphisms of a two-sphere. We provide evidence that the 2d gauge theories on $AdS_2$ can be obtained from localizing the $AdS_4$ duals of the 3d SCFTs mentioned above, and thus argue that our 2d/1d dualities can be obtained via supersymmetric localization on both sides of their parent $AdS_4$/CFT$_3$ dualities. We discuss the boundary terms required by holographic renormalization in the 2d gauge theories on $AdS_2$ and show how they arise from supersymmetric localization. |
1207.3473 | Gang Chen | Yun Zhang and Gang Chen | Ward Identity Implies Recursion Relation at Tree and Loop Level | 23 pages, 10 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, we use Ward identity to calculate tree and one loop level
off shell amplitudes in pure Yang-Mills theory with a pair of external lines
complexified. We explicitly prove Ward identity at tree and one loop level
using Feynman rules, and then give recursion relations for the off shell
amplitudes. We find that the cancellation details in the proof of Ward identity
simplifies our derivation of the recursion relations. Then we calculate three
and four point one loop off shell amplitudes as examples of our method.
| [
{
"created": "Sun, 15 Jul 2012 02:38:29 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Aug 2012 12:06:52 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Feb 2013 18:47:20 GMT",
"version": "v3"
}
] | 2015-03-20 | [
[
"Zhang",
"Yun",
""
],
[
"Chen",
"Gang",
""
]
] | In this article, we use Ward identity to calculate tree and one loop level off shell amplitudes in pure Yang-Mills theory with a pair of external lines complexified. We explicitly prove Ward identity at tree and one loop level using Feynman rules, and then give recursion relations for the off shell amplitudes. We find that the cancellation details in the proof of Ward identity simplifies our derivation of the recursion relations. Then we calculate three and four point one loop off shell amplitudes as examples of our method. |
1008.3605 | Toru Kikuchi | Hiroyuki Hata and Toru Kikuchi | Relativistic Collective Coordinate System of Solitons and Spinning
Skyrmion | 46 pages, 7 figures | Prog.Theor.Phys.125:59-101,2011 | 10.1143/PTP.125.59 | KUNS-2289 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider constructing the relativistic system of collective coordinates of
a field theory soliton on the basis of a simple principle: The collective
coordinates must be introduced into the static solution in such a way that the
equation of motion of the collective coordinates ensures that of the original
field theory. As an illustration, we apply this principle to the quantization
of spinning motion of the Skyrmion by incorporating the leading relativistic
correction to the rigid body approximation. We calculate the decay constant and
various static properties of nucleons, and find that the relativistic
corrections are in the range of 5% -- 20%. We also examine how the baryons
deform due to the spinning motion.
| [
{
"created": "Sat, 21 Aug 2010 05:56:03 GMT",
"version": "v1"
}
] | 2011-04-08 | [
[
"Hata",
"Hiroyuki",
""
],
[
"Kikuchi",
"Toru",
""
]
] | We consider constructing the relativistic system of collective coordinates of a field theory soliton on the basis of a simple principle: The collective coordinates must be introduced into the static solution in such a way that the equation of motion of the collective coordinates ensures that of the original field theory. As an illustration, we apply this principle to the quantization of spinning motion of the Skyrmion by incorporating the leading relativistic correction to the rigid body approximation. We calculate the decay constant and various static properties of nucleons, and find that the relativistic corrections are in the range of 5% -- 20%. We also examine how the baryons deform due to the spinning motion. |
1208.5057 | Andrei Mironov | A. Mironov, A. Morozov and S. Natanzon | A Hurwitz theory avatar of open-closed strings | 11 pages | The European Physical Journal C73 (2013) 2324 | 10.1140/epjc/s10052-013-2324-y | FIAN/TD-18/12; ITEP/TH-42/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review and explain an infinite-dimensional counterpart of the Hurwitz
theory realization of algebraic open-closed string model a la Moore and
Lizaroiu, where the closed and open sectors are represented by conjugation
classes of permutations and the pairs of permutations, i.e. by the algebra of
Young diagrams and bipartite graphes respectively. An intriguing feature of
this Hurwitz string model is coexistence of two different multiplications,
reflecting the deep interrelation between the theory of symmetric and linear
groups S_\infty and GL(\infty).
| [
{
"created": "Fri, 24 Aug 2012 20:12:23 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Sep 2012 15:32:06 GMT",
"version": "v2"
}
] | 2013-03-07 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Natanzon",
"S.",
""
]
] | We review and explain an infinite-dimensional counterpart of the Hurwitz theory realization of algebraic open-closed string model a la Moore and Lizaroiu, where the closed and open sectors are represented by conjugation classes of permutations and the pairs of permutations, i.e. by the algebra of Young diagrams and bipartite graphes respectively. An intriguing feature of this Hurwitz string model is coexistence of two different multiplications, reflecting the deep interrelation between the theory of symmetric and linear groups S_\infty and GL(\infty). |
2105.10183 | Feng Qu | Feng Qu | Euclidean (A)dS spaces over $p$-adic numbers | 10 pages, 3 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | With the help of Wick rotation over $p$-adic numbers $\mathbb{Q}_p$, the
$p$-adic version of Euclidean $\textrm{dS}_2$ space(noted as $p\textrm{dS}_2$)
is obtained based on $p\textrm{AdS}_2$($p$-adic version of Euclidean
$\textrm{AdS}_2$ space), the latter of which is already known. The
corresponding embedding equations are also found. The distances $D(X,Y)$'s on
$p\textrm{(A)dS}_1$ and $p\textrm{AdS}_2$ have intuitive explanations. On the
graph representations of $\mathbb{Q}_p$ and $\mathbb{Q}_{p^2}$, namely
Bruhat-Tits trees $\textrm{T}_{p}$ and $\textrm{T}_{p^2}$, $D(X,Y)$ is found to
be the inverse of distance between a particular subgraph and the line
connecting $X$ and $Y$.
| [
{
"created": "Fri, 21 May 2021 07:51:25 GMT",
"version": "v1"
}
] | 2021-05-24 | [
[
"Qu",
"Feng",
""
]
] | With the help of Wick rotation over $p$-adic numbers $\mathbb{Q}_p$, the $p$-adic version of Euclidean $\textrm{dS}_2$ space(noted as $p\textrm{dS}_2$) is obtained based on $p\textrm{AdS}_2$($p$-adic version of Euclidean $\textrm{AdS}_2$ space), the latter of which is already known. The corresponding embedding equations are also found. The distances $D(X,Y)$'s on $p\textrm{(A)dS}_1$ and $p\textrm{AdS}_2$ have intuitive explanations. On the graph representations of $\mathbb{Q}_p$ and $\mathbb{Q}_{p^2}$, namely Bruhat-Tits trees $\textrm{T}_{p}$ and $\textrm{T}_{p^2}$, $D(X,Y)$ is found to be the inverse of distance between a particular subgraph and the line connecting $X$ and $Y$. |
hep-th/0107118 | Ingo Runkel | I. Runkel and G. M. T. Watts | A non-rational CFT with c=1 as a limit of minimal models | latex2e, 37 pages, 4 figures | JHEP 0109:006,2001 | 10.1088/1126-6708/2001/09/006 | KCL-MTH-01-23, PAR-LPTHE-01-32 | hep-th | null | We investigate the limit of minimal model conformal field theories where the
central charge approaches one. We conjecture that this limit is described by a
non-rational CFT of central charge one. The limiting theory is different from
the free boson but bears some resemblance to Liouville theory. Explicit
expressions for the three point functions of bulk fields are presented, as well
as a set of conformal boundary states. We provide analytic and numerical
arguments in support of the claim that this data forms a consistent CFT.
| [
{
"created": "Fri, 13 Jul 2001 16:24:16 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Runkel",
"I.",
""
],
[
"Watts",
"G. M. T.",
""
]
] | We investigate the limit of minimal model conformal field theories where the central charge approaches one. We conjecture that this limit is described by a non-rational CFT of central charge one. The limiting theory is different from the free boson but bears some resemblance to Liouville theory. Explicit expressions for the three point functions of bulk fields are presented, as well as a set of conformal boundary states. We provide analytic and numerical arguments in support of the claim that this data forms a consistent CFT. |
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