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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2208.02281 | Callum Jones | Callum R. T. Jones, Mikhail Solon | Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in
General Relativity and Beyond | 41 pages, 5 figures | null | 10.1007/JHEP02(2023)105 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We present a general framework for calculating post-Minskowskian, classical,
conservative Hamiltonians for $N$ non-spinning bodies in general relativity
from relativistic scattering amplitudes. Novel features for $N>2$ are described
including the subtraction of tree-like iteration contributions and the
calculation of non-trivial many-body Fourier transform integrals needed to
construct position space potentials. A new approach to calculating these
integrals as an expansion in the hierarchical limit is described based on the
method of regions. As an explicit example, we present the
$\mathcal{O}\left(G^2\right)$ 3-body momentum space potential in general
relativity as well as for charged bodies in Einstein-Maxwell. The result is
shown to be in perfect agreement with previous post-Newtonian calculations in
general relativity up to $\mathcal{O}\left(G^2 v^4\right)$. Furthermore, in
appropriate limits the result is shown to agree perfectly with relativistic
probe scattering in multi-center extremal black hole backgrounds and with the
scattering of slowly-moving extremal black holes in the moduli space
approximation.
| [
{
"created": "Wed, 3 Aug 2022 18:04:35 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 2022 17:32:15 GMT",
"version": "v2"
}
] | 2023-03-01 | [
[
"Jones",
"Callum R. T.",
""
],
[
"Solon",
"Mikhail",
""
]
] | We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for $N$ non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for $N>2$ are described including the subtraction of tree-like iteration contributions and the calculation of non-trivial many-body Fourier transform integrals needed to construct position space potentials. A new approach to calculating these integrals as an expansion in the hierarchical limit is described based on the method of regions. As an explicit example, we present the $\mathcal{O}\left(G^2\right)$ 3-body momentum space potential in general relativity as well as for charged bodies in Einstein-Maxwell. The result is shown to be in perfect agreement with previous post-Newtonian calculations in general relativity up to $\mathcal{O}\left(G^2 v^4\right)$. Furthermore, in appropriate limits the result is shown to agree perfectly with relativistic probe scattering in multi-center extremal black hole backgrounds and with the scattering of slowly-moving extremal black holes in the moduli space approximation. |
1809.06318 | Rachel Maitra | Vincent Moncrief, Antonella Marini, and Rachel Maitra | Orbit Space Curvature as a Source of Mass in Quantum Gauge Theory | 75 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has long been realized that the natural orbit space for non-abelian
Yang-Mills dynamics is a positively curved (infinite dimensional) Riemannian
manifold. Expanding on this result I.M. Singer proposed that strict positivity
of the corresponding Ricci tensor (computable through zeta function
regularization) could play a fundamental role in establishing that the
associated Schroedinger operator admits a spectral gap. His argument was based
on representing the (regularized) kinetic term in the Schroedinger operator as
a Laplace-Beltrami operator on this positively curved orbit space. We revisit
Singer's proposal and show how, when the contribution of the Yang-Mills
potential energy is taken into account, the role of the original orbit space
Ricci tensor is instead played by a Bakry-Emery Ricci tensor computable from
the ground state wave functional of the quantum theory. We next review our
ongoing Euclidean-signature-semi-classical program for deriving asymptotic
expansions for such wave functionals and discuss how, by keeping the dynamical
nonlinearities and non-abelian gauge invariances intact at each level of the
analysis, our approach surpasses that of conventional perturbation theory for
the generation of approximate wave functionals. Though our main focus is on
Yang-Mills theory we derive the orbit space curvature for scalar
electrodynamics and prove that, whereas the Maxwell factor remains flat, the
interaction naturally induces positive curvature in the (charged) scalar factor
of the resulting orbit space. This has led us to the conjecture that such orbit
space curvature effects could furnish a source of mass for ordinary
Klein-Gordon type fields provided the latter are (minimally) coupled to gauge
fields, even in the abelian case. Finally we discuss the potential
applicability of our Euclidean-signature program to the Wheeler-DeWitt equation
of canonical quantum gravity.
| [
{
"created": "Mon, 17 Sep 2018 16:47:52 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Aug 2019 18:12:07 GMT",
"version": "v2"
}
] | 2019-08-26 | [
[
"Moncrief",
"Vincent",
""
],
[
"Marini",
"Antonella",
""
],
[
"Maitra",
"Rachel",
""
]
] | It has long been realized that the natural orbit space for non-abelian Yang-Mills dynamics is a positively curved (infinite dimensional) Riemannian manifold. Expanding on this result I.M. Singer proposed that strict positivity of the corresponding Ricci tensor (computable through zeta function regularization) could play a fundamental role in establishing that the associated Schroedinger operator admits a spectral gap. His argument was based on representing the (regularized) kinetic term in the Schroedinger operator as a Laplace-Beltrami operator on this positively curved orbit space. We revisit Singer's proposal and show how, when the contribution of the Yang-Mills potential energy is taken into account, the role of the original orbit space Ricci tensor is instead played by a Bakry-Emery Ricci tensor computable from the ground state wave functional of the quantum theory. We next review our ongoing Euclidean-signature-semi-classical program for deriving asymptotic expansions for such wave functionals and discuss how, by keeping the dynamical nonlinearities and non-abelian gauge invariances intact at each level of the analysis, our approach surpasses that of conventional perturbation theory for the generation of approximate wave functionals. Though our main focus is on Yang-Mills theory we derive the orbit space curvature for scalar electrodynamics and prove that, whereas the Maxwell factor remains flat, the interaction naturally induces positive curvature in the (charged) scalar factor of the resulting orbit space. This has led us to the conjecture that such orbit space curvature effects could furnish a source of mass for ordinary Klein-Gordon type fields provided the latter are (minimally) coupled to gauge fields, even in the abelian case. Finally we discuss the potential applicability of our Euclidean-signature program to the Wheeler-DeWitt equation of canonical quantum gravity. |
1302.3223 | Thomas Grimm | Thomas W. Grimm, Tom G. Pugh | Gauged supergravities and their symmetry-breaking vacua in F-theory | 37 pages | null | 10.1007/JHEP06(2013)012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We first derive a class of six-dimensional (1,0) gauged supergravities
arising from threefold compactifications of F-theory with background fluxes.
The derivation proceeds via the M-theory dual reduction on an SU(3)-structure
manifold with four-form G_4-flux. We then show that vacuum solutions of these
six-dimensional theories describes four-dimensional flat space times a compact
two-dimensional internal space with additional localized sources. This induces
a spontaneous compactification to four space-time dimensions and breaks the
supersymmetry from N=2 to N=1, which allows the reduced theory to have a
four-dimensional chiral spectrum. We perform the reduction explicitly and
derive the N=1 characteristic data of the four-dimensional effective theory.
The match with fourfold reductions of F-theory is discussed and many of the
characteristic features are compared. We comment, in particular, on warping
effects and one-loop Chern-Simons terms generically present in four-dimensional
F-theory reductions.
| [
{
"created": "Wed, 13 Feb 2013 21:00:01 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Pugh",
"Tom G.",
""
]
] | We first derive a class of six-dimensional (1,0) gauged supergravities arising from threefold compactifications of F-theory with background fluxes. The derivation proceeds via the M-theory dual reduction on an SU(3)-structure manifold with four-form G_4-flux. We then show that vacuum solutions of these six-dimensional theories describes four-dimensional flat space times a compact two-dimensional internal space with additional localized sources. This induces a spontaneous compactification to four space-time dimensions and breaks the supersymmetry from N=2 to N=1, which allows the reduced theory to have a four-dimensional chiral spectrum. We perform the reduction explicitly and derive the N=1 characteristic data of the four-dimensional effective theory. The match with fourfold reductions of F-theory is discussed and many of the characteristic features are compared. We comment, in particular, on warping effects and one-loop Chern-Simons terms generically present in four-dimensional F-theory reductions. |
0709.0398 | El Hassan Saidi | A. Belhaj, L. B. Drissi, E. H. Saidi, A. Segui | N=2 Supersymmetric Black Attractors in Six and Seven Dimensions | 71 pages, Sections 6 and 7 added, References added | Nucl.Phys.B796:521-580,2008 | 10.1016/j.nuclphysb.2007.12.007 | Lab/UFR-HEP-0702, GNPHE-0702 | hep-th | null | Using a quaternionic formulation of the moduli space $\boldsymbol{M}({\small
IIA/K3}) $ of 10D type IIA superstring on a generic K3 complex surface with
volume $\boldsymbol{V}_{0}$, we study extremal $\mathcal{N}=2$ black attractors
in 6D space-time and their uplifting to 7D. For the 6D theory, we exhibit the
role played by 6D $\mathcal{N}=1$ hypermultiplets and the $Z^{m}$ central
charges isotriplet of the 6D $\mathcal{N}=2$ superalgebra. We construct
explicitly the special hyperKahler geometry of $% \boldsymbol{M}({\small
IIA/K3}) $ and show that the $SO(4) \times SO(20) $ invariant hyperKahler
potential is given by $\mathcal{H}=\mathcal{H}_{0}+\mathrm{Tr}[ \ln (1-%
\boldsymbol{V}_{0}^{-1}\boldsymbol{S}) ] $ with Kahler leading term
$\mathcal{H}_{0}=\mathrm{Tr}[ \ln \boldsymbol{V}_{0}] $ plus an extra term
which can be expanded as a power series in $\boldsymbol{V}%_{0}^{-1}$ and the
traceless and symmetric 3$\times $3 matrix $\boldsymbol{S} $. We also derive
the holomorphic matrix prepotential $\mathcal{G}$ and the flux potential
$\mathcal{G}_{BH}$ of the 6D black objects induced by the topology of the RR
field strengths $\mathcal{F}_{2}=d\mathcal{A}_{1}$ and $%
\mathcal{F}_{4}=d\mathcal{A}_{3}$ on the K3 surface and show that $\mathcal{G%
}_{BH}$ reads as $Q_{0}+\sum_{m=1}^{3}q^{m}Z^{m}$. Moreover, we reveal that $%
Z^{m}=\sum_{I=1}^{20}Q_{I}(\int_{C_{2}^{I}}J^{m}) $ where the isotriplet
$J^{m}$ is the hyperKahler 2- form on the K3 surface. It is found as well that
the uplifting to seven dimensions is quite similar to 4D/5D correspondence for
back hole potential considered in arXiv 0707.0964 [hep-th].
| [
{
"created": "Tue, 4 Sep 2007 11:49:00 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Sep 2007 07:58:22 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Feb 2008 12:04:37 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Belhaj",
"A.",
""
],
[
"Drissi",
"L. B.",
""
],
[
"Saidi",
"E. H.",
""
],
[
"Segui",
"A.",
""
]
] | Using a quaternionic formulation of the moduli space $\boldsymbol{M}({\small IIA/K3}) $ of 10D type IIA superstring on a generic K3 complex surface with volume $\boldsymbol{V}_{0}$, we study extremal $\mathcal{N}=2$ black attractors in 6D space-time and their uplifting to 7D. For the 6D theory, we exhibit the role played by 6D $\mathcal{N}=1$ hypermultiplets and the $Z^{m}$ central charges isotriplet of the 6D $\mathcal{N}=2$ superalgebra. We construct explicitly the special hyperKahler geometry of $% \boldsymbol{M}({\small IIA/K3}) $ and show that the $SO(4) \times SO(20) $ invariant hyperKahler potential is given by $\mathcal{H}=\mathcal{H}_{0}+\mathrm{Tr}[ \ln (1-% \boldsymbol{V}_{0}^{-1}\boldsymbol{S}) ] $ with Kahler leading term $\mathcal{H}_{0}=\mathrm{Tr}[ \ln \boldsymbol{V}_{0}] $ plus an extra term which can be expanded as a power series in $\boldsymbol{V}%_{0}^{-1}$ and the traceless and symmetric 3$\times $3 matrix $\boldsymbol{S} $. We also derive the holomorphic matrix prepotential $\mathcal{G}$ and the flux potential $\mathcal{G}_{BH}$ of the 6D black objects induced by the topology of the RR field strengths $\mathcal{F}_{2}=d\mathcal{A}_{1}$ and $% \mathcal{F}_{4}=d\mathcal{A}_{3}$ on the K3 surface and show that $\mathcal{G% }_{BH}$ reads as $Q_{0}+\sum_{m=1}^{3}q^{m}Z^{m}$. Moreover, we reveal that $% Z^{m}=\sum_{I=1}^{20}Q_{I}(\int_{C_{2}^{I}}J^{m}) $ where the isotriplet $J^{m}$ is the hyperKahler 2- form on the K3 surface. It is found as well that the uplifting to seven dimensions is quite similar to 4D/5D correspondence for back hole potential considered in arXiv 0707.0964 [hep-th]. |
hep-th/9206111 | null | Swapna Mahapatra, Sudipta Mukherji and Anirvan M. Sengupta | Target Space Interpretation of New Moduli in 2D String Theory | 13 pages, TIFR/TH/92-30, June 1992 | Mod.Phys.Lett. A7 (1992) 3119-3128 | 10.1142/S0217732392002500 | null | hep-th | null | We analyze the new states that have recently been discovered in 2D string
theory by E. Witten and B. Zwiebach. Since the Liouville direction is
uncompactified, we show that the deformations by the new ghost number two
states generate equivalent classical solutions of the string fields. We argue
that the new ghost number one states are responsible for generating
transformations which relate such equivalent solutions. We also discuss the
possible interpretation of higher ghost number states of those kinds.
| [
{
"created": "Tue, 30 Jun 1992 12:05:00 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Mahapatra",
"Swapna",
""
],
[
"Mukherji",
"Sudipta",
""
],
[
"Sengupta",
"Anirvan M.",
""
]
] | We analyze the new states that have recently been discovered in 2D string theory by E. Witten and B. Zwiebach. Since the Liouville direction is uncompactified, we show that the deformations by the new ghost number two states generate equivalent classical solutions of the string fields. We argue that the new ghost number one states are responsible for generating transformations which relate such equivalent solutions. We also discuss the possible interpretation of higher ghost number states of those kinds. |
1508.03611 | Paul Heslop | Reza Doobary and Paul Heslop | Superconformal partial waves in Grassmannian field theories | Minor corrections and a new subsection 3.5.1 giving explicit forms
for the superconformal partial waves in N=4 SYM in terms of one- and
two-variable functions for easier comparison with other approaches | null | 10.1007/JHEP12(2015)159 | DCPT-15/53 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive superconformal partial waves for all scalar four-point functions on
a super Grassmannian space Gr(m|n,2m|2n) for all m,n. This family of four-point
functions includes those of all (arbitrary weight) half BPS operators in both
N=4 SYM (m=n=2) and in N=2 superconformal field theories in four dimensions
(m=2,n=1) on analytic superspace. It also includes four-point functions of all
(arbitrary dimension) scalar fields in non-supersymmetric conformal field
theories (m=2,n=0) on Minkowski space, as well as those of a certain class of
representations of the compact SU(2n) coset spaces. As an application we then
specialise to N=4 SYM and use these results to perform a detailed
superconformal partial wave analysis of the four- point functions of arbitrary
weight half BPS operators. We discuss the non-trivial separation of protected
and unprotected sectors for the <2222>, <2233> and <3333> cases in an SU(N)
gauge theory at finite N. The <2233> correlator predicts a non-trivial
protected twist four sector for <3333> which we can completely determine using
the knowledge that there is precisely one such protected twist four operator
for each spin.
| [
{
"created": "Fri, 14 Aug 2015 19:25:53 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2015 17:59:40 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Doobary",
"Reza",
""
],
[
"Heslop",
"Paul",
""
]
] | We derive superconformal partial waves for all scalar four-point functions on a super Grassmannian space Gr(m|n,2m|2n) for all m,n. This family of four-point functions includes those of all (arbitrary weight) half BPS operators in both N=4 SYM (m=n=2) and in N=2 superconformal field theories in four dimensions (m=2,n=1) on analytic superspace. It also includes four-point functions of all (arbitrary dimension) scalar fields in non-supersymmetric conformal field theories (m=2,n=0) on Minkowski space, as well as those of a certain class of representations of the compact SU(2n) coset spaces. As an application we then specialise to N=4 SYM and use these results to perform a detailed superconformal partial wave analysis of the four- point functions of arbitrary weight half BPS operators. We discuss the non-trivial separation of protected and unprotected sectors for the <2222>, <2233> and <3333> cases in an SU(N) gauge theory at finite N. The <2233> correlator predicts a non-trivial protected twist four sector for <3333> which we can completely determine using the knowledge that there is precisely one such protected twist four operator for each spin. |
2204.03024 | Soumangsu Chakraborty Dr | Soumangsu Chakraborty, Mikhail Goykhman | Solvable time-like cosets and holography beyond $AdS$ | 86 pages | null | 10.1007/JHEP08(2022)244 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We build a novel time-like coset sigma-model describing type-II superstring
theory in a charged rotating black-brane background that interpolates between a
locally $AdS_3$ in the IR and a linear-dilaton geometry in the UV. This allows
one to perform a systematic study of holography in non-AdS backgrounds which
are smoothly connected to $AdS_3$. We construct massless closed string states
vertex operators in the NS-NS sector, calculate the corresponding two-point
correlation functions, and discuss holographic interpretation of our results
from 4+1 dimensional boundary field theory point of view. Compactifying the
theory on $\mathbb{T}^4$, we show that the spectrum of a single long string
with unit winding agrees with the spectrum of a CFT$_2$ deformed by $T\bar{T}$.
We also calculate correlation functions of operators of the dual 1+1
dimensional non-conformal boundary field theory using world-sheet techniques.
| [
{
"created": "Wed, 6 Apr 2022 18:16:12 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2022 12:33:57 GMT",
"version": "v2"
}
] | 2022-09-13 | [
[
"Chakraborty",
"Soumangsu",
""
],
[
"Goykhman",
"Mikhail",
""
]
] | We build a novel time-like coset sigma-model describing type-II superstring theory in a charged rotating black-brane background that interpolates between a locally $AdS_3$ in the IR and a linear-dilaton geometry in the UV. This allows one to perform a systematic study of holography in non-AdS backgrounds which are smoothly connected to $AdS_3$. We construct massless closed string states vertex operators in the NS-NS sector, calculate the corresponding two-point correlation functions, and discuss holographic interpretation of our results from 4+1 dimensional boundary field theory point of view. Compactifying the theory on $\mathbb{T}^4$, we show that the spectrum of a single long string with unit winding agrees with the spectrum of a CFT$_2$ deformed by $T\bar{T}$. We also calculate correlation functions of operators of the dual 1+1 dimensional non-conformal boundary field theory using world-sheet techniques. |
hep-th/0404192 | Carlos A. S. Almeida | C. A. S. Almeida, R. R. Landim, and D. M. Medeiros | Dualization of non-Abelian $B\wedge\phi$ model | 4 pages | null | null | null | hep-th | null | In this work we show a dualization process of a non-Abelian model with an
antisymmetric tensor gauge field in a three-dimensional space-time. We have
constructed a non-Abelian gauge invariant St\"{u}ckelberg-like master action,
and a duality between a non-Abelian topologically massive $B\wedge\phi$ model
and a non-Abelian massive scalar action, which leads us to a Klein-Gordon-type
action when we consider a particular case.
| [
{
"created": "Fri, 23 Apr 2004 20:25:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Almeida",
"C. A. S.",
""
],
[
"Landim",
"R. R.",
""
],
[
"Medeiros",
"D. M.",
""
]
] | In this work we show a dualization process of a non-Abelian model with an antisymmetric tensor gauge field in a three-dimensional space-time. We have constructed a non-Abelian gauge invariant St\"{u}ckelberg-like master action, and a duality between a non-Abelian topologically massive $B\wedge\phi$ model and a non-Abelian massive scalar action, which leads us to a Klein-Gordon-type action when we consider a particular case. |
2004.10195 | Giorgio Torrieri | David Montenegro, Giorgio Torrieri | Linear response theory of relativistic hydrodynamics with spin | Discussion clarified and reorganized, typos fixed | Phys. Rev. D 102, 036007 (2020) | 10.1103/PhysRevD.102.036007 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use linear response techniques to develop the previously proposed
relativistic ideal fluid limit with a non-negligible spin density. We confirm
previous results and obtain expressions for the microscopic transport
coefficients using Kubo-like formulae and buld up the effective field theory
from the computed correlation functions. We also confirm that polarization
makes vortices aquire an effective mass via a mechanism similar to the
Anderson-Higgs mechanism in superconductors. As speculated earlier, this could
stabilize the ideal hydrodynamic limit against fluctuation-driven vortices
| [
{
"created": "Tue, 21 Apr 2020 17:59:59 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Jun 2020 19:00:04 GMT",
"version": "v2"
}
] | 2020-08-19 | [
[
"Montenegro",
"David",
""
],
[
"Torrieri",
"Giorgio",
""
]
] | We use linear response techniques to develop the previously proposed relativistic ideal fluid limit with a non-negligible spin density. We confirm previous results and obtain expressions for the microscopic transport coefficients using Kubo-like formulae and buld up the effective field theory from the computed correlation functions. We also confirm that polarization makes vortices aquire an effective mass via a mechanism similar to the Anderson-Higgs mechanism in superconductors. As speculated earlier, this could stabilize the ideal hydrodynamic limit against fluctuation-driven vortices |
hep-th/0503204 | Marco Nicolosi | Marco Nicolosi | Issues on tadpoles and vacuum redefinitions in String Theory | 175 pages, 16 eps figures. v2,v3: reference added and defective pdf | null | null | ROM2F-05/06 | hep-th | null | This Thesis discusses a number of issues related to the problem of tadpoles
and vacuum redefinitions that the breaking of supersymmetry brings about in
String Theory. The idea pursued here is to try to formulate the theory in a
``wrong'' vacuum (the vacuum that one naively identifies prior to the
redefinitions) and, gaining some intuition from some simpler field theory
settings, try to set up a calculational scheme for vacuum redefinitions in
String Theory. This requires in general complicated resummations, but some
simpler cases can be identified. This is true, in principle, for models with
fluxes, where tadpoles can be perturbatively small, and for the one-loop
threshold corrections, that in a large class of models (without rotated branes)
remain finite even in the presence of tadpoles. The contents of the Thesis
elaborate on those of hep-th/0410101, but include a number of additions,
related to the explicit study of a quartic potential in Field Theory, where
some subtleties were previously overlooked, and to the explicit evaluation of
the one-loop threshold corrections for a number of string models with broken
supersymmetry.
| [
{
"created": "Fri, 25 Mar 2005 22:24:43 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Apr 2005 15:55:10 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Apr 2005 12:04:48 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Nicolosi",
"Marco",
""
]
] | This Thesis discusses a number of issues related to the problem of tadpoles and vacuum redefinitions that the breaking of supersymmetry brings about in String Theory. The idea pursued here is to try to formulate the theory in a ``wrong'' vacuum (the vacuum that one naively identifies prior to the redefinitions) and, gaining some intuition from some simpler field theory settings, try to set up a calculational scheme for vacuum redefinitions in String Theory. This requires in general complicated resummations, but some simpler cases can be identified. This is true, in principle, for models with fluxes, where tadpoles can be perturbatively small, and for the one-loop threshold corrections, that in a large class of models (without rotated branes) remain finite even in the presence of tadpoles. The contents of the Thesis elaborate on those of hep-th/0410101, but include a number of additions, related to the explicit study of a quartic potential in Field Theory, where some subtleties were previously overlooked, and to the explicit evaluation of the one-loop threshold corrections for a number of string models with broken supersymmetry. |
hep-th/9505052 | null | A.A. Tseytlin | Exact solutions of closed string theory | 50 pages, harvmac | Class.Quant.Grav.12:2365-2410,1995 | 10.1088/0264-9381/12/10/003 | Imperial/TP/94-95/28 | hep-th | null | We review explicitly known exact $D=4$ solutions with Minkowski signature in
closed bosonic string theory. Classical string solutions with space-time
interpretation are represented by conformal sigma models. Two large
(intersecting) classes of solutions are described by gauged WZW models and
`chiral null models' (models with conserved chiral null current). The latter
class includes plane-wave type backgrounds (admitting a covariantly constant
null Killing vector) and backgrounds with two null Killing vectors (e.g.,
fundamental string solution). $D>4$ chiral null models describe some exact
$D=4$ solutions with electromagnetic fields, for example, extreme electric
black holes, charged fundamental strings and their generalisations. In
addition, there exists a class of conformal models representing axially
symmetric stationary magnetic flux tube backgrounds (including, in particular,
the dilatonic Melvin solution). In contrast to spherically symmetric chiral
null models for which the corresponding conformal field theory is not known
explicitly, the magnetic flux tube models (together with some non-semisimple
WZW models) are among the first examples of solvable unitary conformal string
models with non-trivial $D=4$ curved space-time interpretation. For these
models one is able to express the quantum hamiltonian in terms of free fields
and to find explicitly the physical spectrum and string partition function.
| [
{
"created": "Tue, 9 May 1995 15:29:18 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 1995 20:49:57 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Jul 1995 15:59:43 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Tseytlin",
"A. A.",
""
]
] | We review explicitly known exact $D=4$ solutions with Minkowski signature in closed bosonic string theory. Classical string solutions with space-time interpretation are represented by conformal sigma models. Two large (intersecting) classes of solutions are described by gauged WZW models and `chiral null models' (models with conserved chiral null current). The latter class includes plane-wave type backgrounds (admitting a covariantly constant null Killing vector) and backgrounds with two null Killing vectors (e.g., fundamental string solution). $D>4$ chiral null models describe some exact $D=4$ solutions with electromagnetic fields, for example, extreme electric black holes, charged fundamental strings and their generalisations. In addition, there exists a class of conformal models representing axially symmetric stationary magnetic flux tube backgrounds (including, in particular, the dilatonic Melvin solution). In contrast to spherically symmetric chiral null models for which the corresponding conformal field theory is not known explicitly, the magnetic flux tube models (together with some non-semisimple WZW models) are among the first examples of solvable unitary conformal string models with non-trivial $D=4$ curved space-time interpretation. For these models one is able to express the quantum hamiltonian in terms of free fields and to find explicitly the physical spectrum and string partition function. |
hep-th/9810177 | Giancarlo Rossi | G.C. Rossi | Schr\"odinger Functional and Quantization of Gauge Theories in the
Temporal Gauge | plain Latex, 6 pages, uses sprocl.sty (included). Talk given at PI98,
Florence, Italy | null | null | null | hep-th | null | In the language of Feynman path integrals the quantization of gauge theories
is most easily carried out with the help of the Schr\"odinger Functional (SF).
Within this formalism the essentially unique gauge fixing condition is
$A_{\circ} = 0$ (temporal gauge), as any other rotationally invariant gauge
choice can be shown to be functionally equivalent to the former. In the
temporal gauge Gauss' law is automatically implemented as a constraint on the
states. States not annihilated by the Gauss operator describe the situation in
which external (infinitely heavy) colour sources interact with the gauge field.
The SF in the presence of an arbitrary distribution of external colour sources
can be expressed in an elegant and concise way.
| [
{
"created": "Thu, 22 Oct 1998 13:16:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rossi",
"G. C.",
""
]
] | In the language of Feynman path integrals the quantization of gauge theories is most easily carried out with the help of the Schr\"odinger Functional (SF). Within this formalism the essentially unique gauge fixing condition is $A_{\circ} = 0$ (temporal gauge), as any other rotationally invariant gauge choice can be shown to be functionally equivalent to the former. In the temporal gauge Gauss' law is automatically implemented as a constraint on the states. States not annihilated by the Gauss operator describe the situation in which external (infinitely heavy) colour sources interact with the gauge field. The SF in the presence of an arbitrary distribution of external colour sources can be expressed in an elegant and concise way. |
1405.4638 | Shogo Aoyama | Shogo Aoyama | Killing scalar of non-linear sigma models on G/H realizing the classical
exchange algebra | 11 pages, v2: version shortened removing the review part | null | 10.1016/j.physletb.2014.08.048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Poisson brackets for non-linear sigma models on G/H are set up on the
light-like plane. A quantity which transforms irreducibly by the Killing
vectors, called Killing scalar, is constructed in an arbitrary representation
of G. It is shown to satisfy the classical exchange algebra.
| [
{
"created": "Mon, 19 May 2014 08:28:16 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jul 2014 04:05:33 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Aoyama",
"Shogo",
""
]
] | The Poisson brackets for non-linear sigma models on G/H are set up on the light-like plane. A quantity which transforms irreducibly by the Killing vectors, called Killing scalar, is constructed in an arbitrary representation of G. It is shown to satisfy the classical exchange algebra. |
1405.1685 | Amjad Ashoorioon | A. Ashoorioon and M. M. Sheikh-Jabbari | Gauged M-flation After BICEP2 | v1:16 pages, 9 figures; v2: matched the published version | Phys.Lett. B739 (2014) 391-399 | 10.1016/j.physletb.2014.11.018 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In view of the recent BICEP2 results [arXiv:1403.3985] which may be
attributed to the observation of B-modes polarization of the CMB with
tensor-to-scalar ratio $r=0.2_{-0.05}^{+0.07}$, we revisit M-flation model.
Gauged M-flation is a string theory motivated inflation model with Matrix
valued scalar inflaton fields in the adjoint representation of a $U(N)$
Yang-Mills theory. In continuation of our previous works, we show that in the
M-flation model induced from a supersymmetric 10d background probed by a stack
of $N$ D3-branes, the "effective inflaton" $\phi$ has a double-well Higgs-like
potential, with minima at $\phi=0,\mu$. We focus on the $\phi>\mu$,
symmetry-breaking region. We thoroughly examine predictions of the model for
$r$ in the $2\sigma$ region allowed for $n_S$ by the Planck experiment. As
computed in [arXiv:0903.1481], for $N_e=60$ and $n_S=0.96$ we find $r\simeq
0.2$, which sits in the sweet spot of BICEP2 region for $r$. We find that with
increasing $\mu$ arbitrarily, $n_S$ cannot go beyond $\simeq 0.9670$. As $n_S$
varies in the $2\sigma$ range which is allowed by Planck and could be reached
by the model, $r$ varies in the range $[0.1322,0.2623]$. Future cosmological
experiments, like the CMBPOL, that confines $n_S$ with $\sigma(n_S)=0.0029$ can
constrain the model further. Also, in this region of potential, for
$n_S=0.9603$, we find that the largest isocurvature mode, which is uncorrelated
with curvature perturbations, has a power spectrum with the amplitude of order
$10^{-11}$ at the end of inflation. We also discuss the range of predictions of
$r$ in the hilltop region, $\phi< \mu$.
| [
{
"created": "Wed, 7 May 2014 18:14:49 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2014 13:59:05 GMT",
"version": "v2"
}
] | 2014-11-27 | [
[
"Ashoorioon",
"A.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | In view of the recent BICEP2 results [arXiv:1403.3985] which may be attributed to the observation of B-modes polarization of the CMB with tensor-to-scalar ratio $r=0.2_{-0.05}^{+0.07}$, we revisit M-flation model. Gauged M-flation is a string theory motivated inflation model with Matrix valued scalar inflaton fields in the adjoint representation of a $U(N)$ Yang-Mills theory. In continuation of our previous works, we show that in the M-flation model induced from a supersymmetric 10d background probed by a stack of $N$ D3-branes, the "effective inflaton" $\phi$ has a double-well Higgs-like potential, with minima at $\phi=0,\mu$. We focus on the $\phi>\mu$, symmetry-breaking region. We thoroughly examine predictions of the model for $r$ in the $2\sigma$ region allowed for $n_S$ by the Planck experiment. As computed in [arXiv:0903.1481], for $N_e=60$ and $n_S=0.96$ we find $r\simeq 0.2$, which sits in the sweet spot of BICEP2 region for $r$. We find that with increasing $\mu$ arbitrarily, $n_S$ cannot go beyond $\simeq 0.9670$. As $n_S$ varies in the $2\sigma$ range which is allowed by Planck and could be reached by the model, $r$ varies in the range $[0.1322,0.2623]$. Future cosmological experiments, like the CMBPOL, that confines $n_S$ with $\sigma(n_S)=0.0029$ can constrain the model further. Also, in this region of potential, for $n_S=0.9603$, we find that the largest isocurvature mode, which is uncorrelated with curvature perturbations, has a power spectrum with the amplitude of order $10^{-11}$ at the end of inflation. We also discuss the range of predictions of $r$ in the hilltop region, $\phi< \mu$. |
hep-th/9112032 | null | Michael Lassig | Multiple Crossover Phenomena and Scale Hopping in Two Dimensions | 20 pages, 5 figures | Nucl.Phys. B380 (1992) 601-620 | 10.1016/0550-3213(92)90261-9 | null | hep-th | null | We study the renormalization group for nearly marginal perturbations of a
minimal conformal field theory M_p with p >> 1. To leading order in
perturbation theory, we find a unique one-parameter family of ``hopping
trajectories'' that is characterized by a staircase-like renormalization group
flow of the C-function and the anomalous dimensions and that is related to a
recently solved factorizable scattering theory. We argue that this system is
described by interactions of the form t phi_{(1,3)} - t' \phi_{(3,1)} . As a
function of the relevant parameter t, it undergoes a phase transition with new
critical exponents simultaneously governed by all fixed points M_p, M_{p-1},
..., M_3. Integrable lattice models represent different phases of the same
integrable system that are distinguished by the sign of the irrelevant
parameter t'.
| [
{
"created": "Fri, 13 Dec 1991 22:06:31 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Lassig",
"Michael",
""
]
] | We study the renormalization group for nearly marginal perturbations of a minimal conformal field theory M_p with p >> 1. To leading order in perturbation theory, we find a unique one-parameter family of ``hopping trajectories'' that is characterized by a staircase-like renormalization group flow of the C-function and the anomalous dimensions and that is related to a recently solved factorizable scattering theory. We argue that this system is described by interactions of the form t phi_{(1,3)} - t' \phi_{(3,1)} . As a function of the relevant parameter t, it undergoes a phase transition with new critical exponents simultaneously governed by all fixed points M_p, M_{p-1}, ..., M_3. Integrable lattice models represent different phases of the same integrable system that are distinguished by the sign of the irrelevant parameter t'. |
1612.02123 | Guo-Zhu Liu | Jing-Rong Wang, Guo-Zhu Liu, Chang-Jin Zhang | Renormalization of fermion velocity in finite temperature QED_{3} | 8 pages, 2 figures | Phys. Rev. D 93, 045017 (2016) | 10.1103/PhysRevD.93.045017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | At zero temperature, the Lorentz invariance is strictly preserved in
three-dimensional quantum electrodynamics. This property ensures that the
velocity of massless fermions is not renormalized by the gauge interaction. At
finite temperature, however, the Lorentz invariance is explicitly broken by the
thermal fluctuation. The longitudinal component of gauge interaction becomes
short-ranged due to thermal screening, whereas the transverse component remains
long-ranged because of local gauge invariance. The transverse gauge interaction
leads to singular corrections to the fermion self-energy and thus results in an
unusual renormalization of the fermion velocity. We calculate the renormalized
fermion velocity $v^R(p_0,\mathbf{p},T)$ by employing a renormalization group
analysis, and discuss the influence of the anomalous dimension $\eta_n$ on the
fermion specific heat.
| [
{
"created": "Wed, 7 Dec 2016 06:48:21 GMT",
"version": "v1"
}
] | 2016-12-14 | [
[
"Wang",
"Jing-Rong",
""
],
[
"Liu",
"Guo-Zhu",
""
],
[
"Zhang",
"Chang-Jin",
""
]
] | At zero temperature, the Lorentz invariance is strictly preserved in three-dimensional quantum electrodynamics. This property ensures that the velocity of massless fermions is not renormalized by the gauge interaction. At finite temperature, however, the Lorentz invariance is explicitly broken by the thermal fluctuation. The longitudinal component of gauge interaction becomes short-ranged due to thermal screening, whereas the transverse component remains long-ranged because of local gauge invariance. The transverse gauge interaction leads to singular corrections to the fermion self-energy and thus results in an unusual renormalization of the fermion velocity. We calculate the renormalized fermion velocity $v^R(p_0,\mathbf{p},T)$ by employing a renormalization group analysis, and discuss the influence of the anomalous dimension $\eta_n$ on the fermion specific heat. |
hep-th/0207043 | Joel S. Rozowsky | A.S. Cornell, G.C. Joshi, J.S. Rozowsky, K.C. Wali | Non-Abelian Monopole and Dyon Solutions in a Modified
Einstein-Yang-Mills-Higgs System | 18 pages LaTeX, 7 eps-figures | Phys.Rev. D67 (2003) 105015 | 10.1103/PhysRevD.67.105015 | SU-4252-752, UM-P 017-2002, RCHEP 002-2002 | hep-th | null | We have studied a modified Yang-Mills-Higgs system coupled to Einstein
gravity. The modification of the Einstein-Hilbert action involves a direct
coupling of the Higgs field to the scalar curvature. In this modified system we
are able to write a Bogomol'nyi type condition in curved space and demonstrate
that the positive static energy functional is bounded from below. We then
investigate non-Abelian sperically symmetric static solutions in a similar
fashion to the `t Hooft-Polyakov monopole. After reviewing previously studied
monopole solutions of this type, we extend the formalism to included electric
charge and we present dyon solutions.
| [
{
"created": "Thu, 4 Jul 2002 19:56:51 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Cornell",
"A. S.",
""
],
[
"Joshi",
"G. C.",
""
],
[
"Rozowsky",
"J. S.",
""
],
[
"Wali",
"K. C.",
""
]
] | We have studied a modified Yang-Mills-Higgs system coupled to Einstein gravity. The modification of the Einstein-Hilbert action involves a direct coupling of the Higgs field to the scalar curvature. In this modified system we are able to write a Bogomol'nyi type condition in curved space and demonstrate that the positive static energy functional is bounded from below. We then investigate non-Abelian sperically symmetric static solutions in a similar fashion to the `t Hooft-Polyakov monopole. After reviewing previously studied monopole solutions of this type, we extend the formalism to included electric charge and we present dyon solutions. |
hep-th/9706061 | Takehisa Fujita | Takehisa Fujita and Hidenori Takahashi | Finite size corrections in massive Thirring model | 8 pages, Latex, 2 figures | Phys.Rev. D58 (1998) 085011 | 10.1103/PhysRevD.58.085011 | null | hep-th | null | We calculate for the first time the finite size corrections in the massive
Thirring model. This is done by numerically solving the equations of periodic
boundary conditions of the Bethe ansatz solution. It is found that the
corresponding central charge extracted from the $1/L$ term is around 0.4 for
the coupling constant of ${g_0}=-{\pi\over 4} $ and decreases down to zero when
${g_0}=-{\pi\over{3}}$. This is quite different from the predicted central
charge of the sine-Gordon model.
| [
{
"created": "Tue, 10 Jun 1997 05:48:58 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Fujita",
"Takehisa",
""
],
[
"Takahashi",
"Hidenori",
""
]
] | We calculate for the first time the finite size corrections in the massive Thirring model. This is done by numerically solving the equations of periodic boundary conditions of the Bethe ansatz solution. It is found that the corresponding central charge extracted from the $1/L$ term is around 0.4 for the coupling constant of ${g_0}=-{\pi\over 4} $ and decreases down to zero when ${g_0}=-{\pi\over{3}}$. This is quite different from the predicted central charge of the sine-Gordon model. |
hep-th/0110092 | Vasily Pestun | Vasily Pestun | On non-abelian low energy effective action for D-branes | Latex2e, 18pp.,v2 comments and references added | JHEP 0111 (2001) 017 | 10.1088/1126-6708/2001/11/017 | ITEP-TH-52/01 | hep-th | null | Connection between the partition function for the 2D sigma model with
boundary pertubations and the low energy effective action for massless fields
from in the open string theory is discussed. In the non-abelian case with a
stack of $N$ D-branes, the terms up to the order of $\alpha'^3$ are found
| [
{
"created": "Tue, 9 Oct 2001 22:21:41 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Oct 2001 10:08:18 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Pestun",
"Vasily",
""
]
] | Connection between the partition function for the 2D sigma model with boundary pertubations and the low energy effective action for massless fields from in the open string theory is discussed. In the non-abelian case with a stack of $N$ D-branes, the terms up to the order of $\alpha'^3$ are found |
1009.4784 | Pawel Gusin | Pawel Gusin | Causal transformation of G\"odel-type space-times in conformal field
theory | 13 | Mod.Phys.Lett.A25:2873-2884,2010 | 10.1142/S0217732310034213 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The G\"odel-type metrices are considered as backgrounds of the sigma-models.
In the conformal field theory such backgrounds are deformed by the exactly
marginal operators. We examinate, how the closed time-like curves (CTC's)
transform under such deformations.
| [
{
"created": "Fri, 24 Sep 2010 09:05:34 GMT",
"version": "v1"
}
] | 2010-12-06 | [
[
"Gusin",
"Pawel",
""
]
] | The G\"odel-type metrices are considered as backgrounds of the sigma-models. In the conformal field theory such backgrounds are deformed by the exactly marginal operators. We examinate, how the closed time-like curves (CTC's) transform under such deformations. |
2104.09654 | Olaf Lechtenfeld | Olaf Lechtenfeld, Maximilian Rupprecht | Construction method for the Nicolai map in supersymmetric Yang-Mills
theories | 1+8 pages; v2: minor corrections, matches published version up to
additional corrections in eqs.(17), (18), (40) | Phys. Lett. B 819 (2021) 136413 | 10.1016/j.physletb.2021.136413 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, a universal formula for the Nicolai map in terms of a coupling flow
functional differential operator was found. We present the full perturbative
expansion of this operator in Yang-Mills theories where supersymmetry is
realized off-shell. Given this expansion, we develop a straightforward method
to compute the explicit Nicolai map to any order in the gauge coupling. Our
work extends the previously known construction method from the Landau gauge to
arbitrary gauges and from the gauge hypersurface to the full gauge-field
configuration space. As an example, we present the map in the axial gauge to
the second order.
| [
{
"created": "Mon, 19 Apr 2021 21:51:28 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 2021 11:40:09 GMT",
"version": "v2"
}
] | 2021-06-24 | [
[
"Lechtenfeld",
"Olaf",
""
],
[
"Rupprecht",
"Maximilian",
""
]
] | Recently, a universal formula for the Nicolai map in terms of a coupling flow functional differential operator was found. We present the full perturbative expansion of this operator in Yang-Mills theories where supersymmetry is realized off-shell. Given this expansion, we develop a straightforward method to compute the explicit Nicolai map to any order in the gauge coupling. Our work extends the previously known construction method from the Landau gauge to arbitrary gauges and from the gauge hypersurface to the full gauge-field configuration space. As an example, we present the map in the axial gauge to the second order. |
1601.03356 | \"Umit Ertem | \"Ozg\"ur A\c{c}{\i}k, \"Umit Ertem | Hidden symmetries and Lie algebra structures from geometric and
supergravity Killing spinors | 17 pages, published version | Class. Quantum Grav. 33 (2016) 165002 | 10.1088/0264-9381/33/16/165002 | EMPG 16-05 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider geometric and supergravity Killing spinors and the spinor
bilinears constructed out of them. The spinor bilinears of geometric Killing
spinors correspond to the antisymmetric generalizations of Killing vector
fields which are called Killing-Yano forms. They constitute a Lie superalgebra
structure in constant curvature spacetimes. We show that the Dirac currents of
geometric Killing spinors satisfy a Lie algebra structure up to a condition on
2-form spinor bilinears. We propose that the spinor bilinears of supergravity
Killing spinors give way to different generalizations of Killing vector fields
to higher degree forms. It is also shown that those supergravity Killing forms
constitute a Lie algebra structure in six and ten dimensional cases. For five
and eleven dimensional cases, the Lie algebra structure depends on an extra
condition on supergravity Killing forms.
| [
{
"created": "Wed, 13 Jan 2016 19:18:05 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jul 2016 13:44:35 GMT",
"version": "v2"
}
] | 2016-07-18 | [
[
"Açık",
"Özgür",
""
],
[
"Ertem",
"Ümit",
""
]
] | We consider geometric and supergravity Killing spinors and the spinor bilinears constructed out of them. The spinor bilinears of geometric Killing spinors correspond to the antisymmetric generalizations of Killing vector fields which are called Killing-Yano forms. They constitute a Lie superalgebra structure in constant curvature spacetimes. We show that the Dirac currents of geometric Killing spinors satisfy a Lie algebra structure up to a condition on 2-form spinor bilinears. We propose that the spinor bilinears of supergravity Killing spinors give way to different generalizations of Killing vector fields to higher degree forms. It is also shown that those supergravity Killing forms constitute a Lie algebra structure in six and ten dimensional cases. For five and eleven dimensional cases, the Lie algebra structure depends on an extra condition on supergravity Killing forms. |
hep-th/9702038 | Ken Intriligator | Kenneth Intriligator | RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities | 17 pages, harvmac. Added reference and footnote on "vector structure"
terminology | Nucl.Phys. B496 (1997) 177-190 | 10.1016/S0550-3213(97)00236-8 | IASSNS-HEP-97/7 | hep-th | null | We discuss a set of generalized, necessary conditions for non-trivial,
interacting fixed points in six dimensional supersymmetric field theories. We
use string theory to argue for the existence of infinite families of
interacting RG fixed point theories. The theories are based on certain gauge
groups and matter content, which we identify, along with additional tensor
multiplets. They are conjectured to arise in the world-volume of Type I D5
branes at orbifold singularities.
| [
{
"created": "Tue, 4 Feb 1997 16:55:31 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Feb 1997 16:58:44 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Intriligator",
"Kenneth",
""
]
] | We discuss a set of generalized, necessary conditions for non-trivial, interacting fixed points in six dimensional supersymmetric field theories. We use string theory to argue for the existence of infinite families of interacting RG fixed point theories. The theories are based on certain gauge groups and matter content, which we identify, along with additional tensor multiplets. They are conjectured to arise in the world-volume of Type I D5 branes at orbifold singularities. |
1503.07909 | Marco Scalisi | Diederik Roest, Marco Scalisi | Cosmological Attractors from $\alpha$-Scale Supergravity | 6 pages, 3 figures. v3: minor clarifications and refs added. PRD
version | Phys. Rev. D 92, 043525 (2015) | 10.1103/PhysRevD.92.043525 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Planck value of the spectral index can be interpreted as $n_s = 1 - 2/N$
in terms of the number of e-foldings $N$. An appealing explanation for this
phenomenological observation is provided by $\alpha$-attractors: the
inflationary predictions of these supergravity models are fully determined by
the curvature of the Kahler manifold. We provide a novel formulation of
$\alpha$-attractors which only involves a single chiral superfield. Our
construction involves a natural deformation of no-scale models, and employs
these to construct a De Sitter plateau with an exponential fall-off. Finally,
we show how analogous structures with a flat Kahler geometry arise as a
singular limit of such $\alpha$-scale models.
| [
{
"created": "Thu, 26 Mar 2015 21:31:58 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2015 13:21:35 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Sep 2015 18:31:05 GMT",
"version": "v3"
}
] | 2015-09-17 | [
[
"Roest",
"Diederik",
""
],
[
"Scalisi",
"Marco",
""
]
] | The Planck value of the spectral index can be interpreted as $n_s = 1 - 2/N$ in terms of the number of e-foldings $N$. An appealing explanation for this phenomenological observation is provided by $\alpha$-attractors: the inflationary predictions of these supergravity models are fully determined by the curvature of the Kahler manifold. We provide a novel formulation of $\alpha$-attractors which only involves a single chiral superfield. Our construction involves a natural deformation of no-scale models, and employs these to construct a De Sitter plateau with an exponential fall-off. Finally, we show how analogous structures with a flat Kahler geometry arise as a singular limit of such $\alpha$-scale models. |
1105.4128 | Vidas Regelskis | Niall MacKay and Vidas Regelskis | Achiral boundaries and the twisted Yangian of the D5-brane | 21 pages, 6 figures; v2: typos corrected, refs added; v3: minor
corrections made, published version | JHEP 1108:019, 2011 | 10.1007/JHEP08(2011)019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider integrable field theories with achiral boundary conditions and
uncover the underlying achiral twisted Yangian algebra. This construction
arises from old work on the bosonic principal chiral model on a half-line, but
finds a modern realization as the hidden symmetry in the planar limit of the
scattering of worldsheet excitations of the AdS/CFT light-cone superstring off
a D5-brane.
| [
{
"created": "Fri, 20 May 2011 16:43:48 GMT",
"version": "v1"
},
{
"created": "Tue, 24 May 2011 17:11:04 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Aug 2011 19:18:19 GMT",
"version": "v3"
}
] | 2011-08-30 | [
[
"MacKay",
"Niall",
""
],
[
"Regelskis",
"Vidas",
""
]
] | We consider integrable field theories with achiral boundary conditions and uncover the underlying achiral twisted Yangian algebra. This construction arises from old work on the bosonic principal chiral model on a half-line, but finds a modern realization as the hidden symmetry in the planar limit of the scattering of worldsheet excitations of the AdS/CFT light-cone superstring off a D5-brane. |
hep-th/9401055 | B. Bruegmann | Bernd Bruegmann | On a geometric derivation of Witten's identity for Chern-Simons theory | 19 pages, LaTeX, MPI-Ph/93-107 | null | null | null | hep-th | null | We present a formal but simple calculational scheme to relate the expectation
value of Wilson loops in Chern-Simons theory to the Jones polynomial. We
consider the exponential of the generator of homotopy transformations which
produces the finite loop deformations that define the crossing change formulas
of knot polynomials. Applying this operator to the expectation value of Wilson
loops for an unspecified measure we find a set of conditions on the measure and
the regularization such that the Jones polynomial is obtained.
| [
{
"created": "Thu, 13 Jan 1994 11:09:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bruegmann",
"Bernd",
""
]
] | We present a formal but simple calculational scheme to relate the expectation value of Wilson loops in Chern-Simons theory to the Jones polynomial. We consider the exponential of the generator of homotopy transformations which produces the finite loop deformations that define the crossing change formulas of knot polynomials. Applying this operator to the expectation value of Wilson loops for an unspecified measure we find a set of conditions on the measure and the regularization such that the Jones polynomial is obtained. |
hep-th/0210038 | Yutaka Hosotani | Yutaka Hosotani | Weyl Invariant Spacetime | 12 pages | Prog.Theor.Phys. 109 (2003) 295-303 | 10.1143/PTP.109.295 | OU-HET 419/2002 | hep-th | null | A new class of Weyl invariant backgrounds are presented in terms of the
metric $G_{\mu\nu}$ and the anti-symmetric Kalb-Ramond fields $B_{\mu\nu}$. The
ten-dimensional spacetime is a product of four-dimensional flat spacetime and
curved six-dimensional spacetime having nonvanishing Ricci tensors. The
non-vanishing Kalb-Ramond field strengths cannot be written globally as $H=dB$,
being of the monopole type. Nevertheless they define homogeneous spacetime with
no singularity.
| [
{
"created": "Fri, 4 Oct 2002 02:37:46 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 2002 07:45:09 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Hosotani",
"Yutaka",
""
]
] | A new class of Weyl invariant backgrounds are presented in terms of the metric $G_{\mu\nu}$ and the anti-symmetric Kalb-Ramond fields $B_{\mu\nu}$. The ten-dimensional spacetime is a product of four-dimensional flat spacetime and curved six-dimensional spacetime having nonvanishing Ricci tensors. The non-vanishing Kalb-Ramond field strengths cannot be written globally as $H=dB$, being of the monopole type. Nevertheless they define homogeneous spacetime with no singularity. |
2309.05775 | Nava Gaddam | Ankit Aggarwal and Nava Gaddam | All symmetries of near-horizon scattering | 14 pages. v2: Factor of \kappa corrected in equation 2.4 and in
consequently affected equations (results unchanged qualitatively and up to
factors of \kappa quantitatively). Added clarifications about the closure of
algebra, comparison to the previous work, and references | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Asymptotic symmetries are known to constrain the infrared behaviour of
scattering processes in asymptotically flat spacetimes. By the same token, one
expects symmetries of the black hole horizon to constrain near-horizon
gravitational scattering. In this paper, we make an important advance towards
establishing this connection. We find all near-horizon symmetries relevant for
gravitational scattering near the horizon of the Schwarzschild black hole. We
study large diffeomorphisms of linearised perturbations of the Schwarzschild
black hole in a partial wave basis and in gauge that allows for gravitational
radiation crossing the event horizon. This setup is ideally suited to study
processes involving near-horizon gravitons like scattering and black hole
evaporation. We find the most general near-horizon symmetries that are
consistent with the perturbations being finite at the horizon. With no further
restriction on the boundary conditions than regularity on the horizon, we find
the associated covariant charges to be finite and non-zero. These symmetries
are therefore physical. The complete symmetry algebra, however, does not close.
The maximal subset of symmetries that forms a closed algebra turns out to be $
{\rm Diff}(S^2) $ in a semi-direct sum with two supertranslations. Our boundary
conditions in fact allow us to extend the asymptotic Killing vectors everywhere
outside the horizon and we show that a sub-algebra closes to all orders in the
near-horizon expansion parameter. Interestingly, for a large black hole, the
dominant symmetries are just two copies of $ u(1)$, one of which is not present
in the maximal closed sub-algebra.
| [
{
"created": "Mon, 11 Sep 2023 19:11:13 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2023 19:33:55 GMT",
"version": "v2"
}
] | 2023-09-22 | [
[
"Aggarwal",
"Ankit",
""
],
[
"Gaddam",
"Nava",
""
]
] | Asymptotic symmetries are known to constrain the infrared behaviour of scattering processes in asymptotically flat spacetimes. By the same token, one expects symmetries of the black hole horizon to constrain near-horizon gravitational scattering. In this paper, we make an important advance towards establishing this connection. We find all near-horizon symmetries relevant for gravitational scattering near the horizon of the Schwarzschild black hole. We study large diffeomorphisms of linearised perturbations of the Schwarzschild black hole in a partial wave basis and in gauge that allows for gravitational radiation crossing the event horizon. This setup is ideally suited to study processes involving near-horizon gravitons like scattering and black hole evaporation. We find the most general near-horizon symmetries that are consistent with the perturbations being finite at the horizon. With no further restriction on the boundary conditions than regularity on the horizon, we find the associated covariant charges to be finite and non-zero. These symmetries are therefore physical. The complete symmetry algebra, however, does not close. The maximal subset of symmetries that forms a closed algebra turns out to be $ {\rm Diff}(S^2) $ in a semi-direct sum with two supertranslations. Our boundary conditions in fact allow us to extend the asymptotic Killing vectors everywhere outside the horizon and we show that a sub-algebra closes to all orders in the near-horizon expansion parameter. Interestingly, for a large black hole, the dominant symmetries are just two copies of $ u(1)$, one of which is not present in the maximal closed sub-algebra. |
1605.07402 | Euihun Joung | Eduardo Conde, Euihun Joung and Karapet Mkrtchyan | Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions | Published version in JHEP | null | 10.1007/JHEP08(2016)040 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We make an explicit link between the cubic interactions of off-shell fields
and the on-shell three-point amplitudes in four dimensions. Both the cubic
interactions and the on-shell three-point amplitudes had been independently
classified in the literature, but their relation has not been made explicit.
The aim of this note is to provide such a relation and discuss similarities and
differences of their constructions. For the completeness of our analysis, we
also derive the covariant form of all parity-odd massless vertices.
| [
{
"created": "Tue, 24 May 2016 12:13:09 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2016 00:26:49 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Conde",
"Eduardo",
""
],
[
"Joung",
"Euihun",
""
],
[
"Mkrtchyan",
"Karapet",
""
]
] | We make an explicit link between the cubic interactions of off-shell fields and the on-shell three-point amplitudes in four dimensions. Both the cubic interactions and the on-shell three-point amplitudes had been independently classified in the literature, but their relation has not been made explicit. The aim of this note is to provide such a relation and discuss similarities and differences of their constructions. For the completeness of our analysis, we also derive the covariant form of all parity-odd massless vertices. |
1006.0226 | Thomas Grimm | Thomas W. Grimm, Timo Weigand | On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs | 32 pages | Phys.Rev.D82:086009,2010 | 10.1103/PhysRevD.82.086009 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The existence of abelian gauge symmetries in four-dimensional F-theory
compactifications depends on the global geometry of the internal Calabi-Yau
fourfold and has important phenomenological consequences. We study conceptual
and phenomenological aspects of such U(1) symmetries along the Coulomb and the
Higgs branch. As one application we examine abelian gauge factors arising after
a certain global restriction of the Tate model that goes beyond a local
spectral cover analysis. In SU(5) GUT models this mechanism enforces a global
U(1)_X symmetry that prevents dimension-4 proton decay and allows for an
identification of candidate right-handed neutrinos. We invoke a detailed
account of the singularities of Calabi-Yau fourfolds and their mirror duals
starting from an underlying E_8 and E_7 x U(1) enhanced Tate model. The global
resolutions and deformations of these singularities can be used as the
appropriate framework to analyse F-theory GUT models.
| [
{
"created": "Tue, 1 Jun 2010 20:00:02 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Weigand",
"Timo",
""
]
] | The existence of abelian gauge symmetries in four-dimensional F-theory compactifications depends on the global geometry of the internal Calabi-Yau fourfold and has important phenomenological consequences. We study conceptual and phenomenological aspects of such U(1) symmetries along the Coulomb and the Higgs branch. As one application we examine abelian gauge factors arising after a certain global restriction of the Tate model that goes beyond a local spectral cover analysis. In SU(5) GUT models this mechanism enforces a global U(1)_X symmetry that prevents dimension-4 proton decay and allows for an identification of candidate right-handed neutrinos. We invoke a detailed account of the singularities of Calabi-Yau fourfolds and their mirror duals starting from an underlying E_8 and E_7 x U(1) enhanced Tate model. The global resolutions and deformations of these singularities can be used as the appropriate framework to analyse F-theory GUT models. |
hep-th/9704029 | Joe Polchinski | Joseph Polchinski and Philippe Pouliot | Membrane Scattering with M-Momentum Transfer | 17 pages, LaTeX | Phys.Rev.D56:6601-6606,1997 | 10.1103/PhysRevD.56.6601 | NSF-ITP-97-27 | hep-th | null | Membrane scattering in m(atrix) theory is related to dynamics in
three-dimensional $SU(2)$ gauge theory, with transfer of $p^{11}$ being an
instanton process. We calculate the instanton amplitude and find precise
agreement with the amplitude in eleven dimensional supergravity.
| [
{
"created": "Thu, 3 Apr 1997 23:31:19 GMT",
"version": "v1"
}
] | 2009-10-09 | [
[
"Polchinski",
"Joseph",
""
],
[
"Pouliot",
"Philippe",
""
]
] | Membrane scattering in m(atrix) theory is related to dynamics in three-dimensional $SU(2)$ gauge theory, with transfer of $p^{11}$ being an instanton process. We calculate the instanton amplitude and find precise agreement with the amplitude in eleven dimensional supergravity. |
hep-th/9203067 | Vincent G. J. Rodgers | Ralph Lano and V.G.J. Rodgers | Applications of W-algebras to BF theories, QCD and 4D Gravity | 14 pages | Mod.Phys.Lett. A7 (1992) 1725-1736 | 10.1142/S0217732392001427 | null | hep-th | null | We are able to show that BF theories naturally emerge from the coadjoint
orbits of $W_2$ and $w_\infty$ algebras which includes a Kac-Moody sector.
Since QCD strings can be identified with a BF theory, we are able to show a
relationship between the orbits and monopole-string solutions of QCD.
Furthermore, we observe that when 4D gravitation is cast into a BF form through
the use of Ashtekar variables, we are able to get order $\hbar$ contributions
to gravity which can be associated with the $W_2$ anomaly. We comment on the
relationship to gravitational monopoles.
| [
{
"created": "Wed, 25 Mar 1992 00:32:41 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Mar 1992 17:40:51 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Lano",
"Ralph",
""
],
[
"Rodgers",
"V. G. J.",
""
]
] | We are able to show that BF theories naturally emerge from the coadjoint orbits of $W_2$ and $w_\infty$ algebras which includes a Kac-Moody sector. Since QCD strings can be identified with a BF theory, we are able to show a relationship between the orbits and monopole-string solutions of QCD. Furthermore, we observe that when 4D gravitation is cast into a BF form through the use of Ashtekar variables, we are able to get order $\hbar$ contributions to gravity which can be associated with the $W_2$ anomaly. We comment on the relationship to gravitational monopoles. |
1209.1633 | Mboyo Esole | Mboyo Esole and Raffaele Savelli | Tate Form and Weak Coupling Limits in F-theory | 34 pages | null | 10.1007/JHEP06(2013)027 | MPP-2012-128 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the weak coupling limit of F-theory in the presence of
non-Abelian gauge groups implemented using the traditional ansatz coming from
Tate's algorithm. We classify the types of singularities that could appear in
the weak coupling limit and explain their resolution. In particular, the weak
coupling limit of SU(n) gauge groups leads to an orientifold theory which
suffers from conifold singulaties that do not admit a crepant resolution
compatible with the orientifold involution. We present a simple resolution to
this problem by introducing a new weak coupling regime that admits
singularities compatible with both a crepant resolution and an orientifold
symmetry. We also comment on possible applications of the new limit to model
building. We finally discuss other unexpected phenomena as for example the
existence of several non-equivalent directions to flow from strong to weak
coupling leading to different gauge groups.
| [
{
"created": "Fri, 7 Sep 2012 20:00:01 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Esole",
"Mboyo",
""
],
[
"Savelli",
"Raffaele",
""
]
] | We consider the weak coupling limit of F-theory in the presence of non-Abelian gauge groups implemented using the traditional ansatz coming from Tate's algorithm. We classify the types of singularities that could appear in the weak coupling limit and explain their resolution. In particular, the weak coupling limit of SU(n) gauge groups leads to an orientifold theory which suffers from conifold singulaties that do not admit a crepant resolution compatible with the orientifold involution. We present a simple resolution to this problem by introducing a new weak coupling regime that admits singularities compatible with both a crepant resolution and an orientifold symmetry. We also comment on possible applications of the new limit to model building. We finally discuss other unexpected phenomena as for example the existence of several non-equivalent directions to flow from strong to weak coupling leading to different gauge groups. |
1712.09251 | Andrea Marzolla | Andrea Marzolla | The Ward identity of Symmetry Breaking from Holographic Renormalization | Extract of PhD thesis: 48 pages, 0 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Notes on holographic renormalization as a tool for UV analysis and derivation
of the two-point Ward identity encoding symmetry breaking. Goldstone theorem is
reviewed, discussing in particular the modifications required by its extension
to non-relativistic field theories. The Ward identity encoding both spontaneous
and explicit breaking are derived by general principles. Holographic
renormalization is presented in a quite operational fashion. The derivation of
the Ward identity in holography is illustrated by an example.
| [
{
"created": "Tue, 26 Dec 2017 12:30:59 GMT",
"version": "v1"
}
] | 2017-12-27 | [
[
"Marzolla",
"Andrea",
""
]
] | Notes on holographic renormalization as a tool for UV analysis and derivation of the two-point Ward identity encoding symmetry breaking. Goldstone theorem is reviewed, discussing in particular the modifications required by its extension to non-relativistic field theories. The Ward identity encoding both spontaneous and explicit breaking are derived by general principles. Holographic renormalization is presented in a quite operational fashion. The derivation of the Ward identity in holography is illustrated by an example. |
hep-th/0212148 | Jon Urrestilla | A. Achucarro, J. Urrestilla | Comment on 'Gravitating magnetic monopole in the global monopole
spacetime' | 3 pages, 1 figure, uses REVTEX4; Revised version includes explicit
relation to global monopoles in flat space. References added and minor typos
corrected. Matches published version | Phys.Rev. D68 (2003) 088701 | 10.1103/PhysRevD.68.088701 | null | hep-th gr-qc | null | We point out a problem with the stability of composite (global-magnetic)
monopoles recently proposed by J. Spinelly, U. de Freitas and E.R. Bezerra de
Mello [Phys. Rev. D66, 024018 (2002)].
| [
{
"created": "Fri, 13 Dec 2002 00:30:22 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Oct 2003 20:59:03 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Achucarro",
"A.",
""
],
[
"Urrestilla",
"J.",
""
]
] | We point out a problem with the stability of composite (global-magnetic) monopoles recently proposed by J. Spinelly, U. de Freitas and E.R. Bezerra de Mello [Phys. Rev. D66, 024018 (2002)]. |
2103.05642 | Domenico Orlando | Simeon Hellerman and Domenico Orlando | Large R-charge EFT correlators in N=2 SQCD | 64 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider large-R-charge Coulomb branch correlation functions in
$\mathcal{N} = 2$ superconformal QCD in D=4 dimensions, with gauge group
$SU(2)$ and $N_f = 4$ hypermultiplets in the fundamental representation. Using
information from supersymmetric recursion relations, S-duality, and matching of
EFT parameters with the double-scaling limit, we give an exact formula for the
massless Coulomb branch EFT contribution to the correlation function two-point
functions of the n.th power of the chiral ring generator,
$G_{2n}^{\text{(EFT)}} = \frac{2^{4n}}{Z_{S^4}[\tau]} \Gamma(2n + 5/2)
e^{A[\tau]n + B[\tau]}$ with $A[\tau]$ and $B[\tau]$ given as explicit
functions of the coupling constant $\tau$ in closed form. We note the precise
agreement of the EFT formula with supersymmetric localization even at low
values of $n$, and discuss aspects of the post-EFT remainder contributed by the
macroscopic virtual propagation of massive particles.
| [
{
"created": "Tue, 9 Mar 2021 19:00:00 GMT",
"version": "v1"
}
] | 2021-03-11 | [
[
"Hellerman",
"Simeon",
""
],
[
"Orlando",
"Domenico",
""
]
] | We consider large-R-charge Coulomb branch correlation functions in $\mathcal{N} = 2$ superconformal QCD in D=4 dimensions, with gauge group $SU(2)$ and $N_f = 4$ hypermultiplets in the fundamental representation. Using information from supersymmetric recursion relations, S-duality, and matching of EFT parameters with the double-scaling limit, we give an exact formula for the massless Coulomb branch EFT contribution to the correlation function two-point functions of the n.th power of the chiral ring generator, $G_{2n}^{\text{(EFT)}} = \frac{2^{4n}}{Z_{S^4}[\tau]} \Gamma(2n + 5/2) e^{A[\tau]n + B[\tau]}$ with $A[\tau]$ and $B[\tau]$ given as explicit functions of the coupling constant $\tau$ in closed form. We note the precise agreement of the EFT formula with supersymmetric localization even at low values of $n$, and discuss aspects of the post-EFT remainder contributed by the macroscopic virtual propagation of massive particles. |
hep-th/9511164 | null | Hirosi Ooguri (UC Berkeley/LBL) and Cumrun Vafa (Harvard University) | Two-Dimensional Black Hole and Singularities of CY Manifolds | 26 pages, harvmac | Nucl.Phys.B463:55-72,1996 | 10.1016/0550-3213(96)00008-9 | HUTP-95/A045, LBL-37996, UCB-PTH-95/41 | hep-th | null | We study the degenerating limits of superconformal theories for
compactifications on singular K3 and Calabi-Yau threefolds. We find that in
both cases the degeneration involves creating an Euclidean two-dimensional
black hole coupled weakly to the rest of the system. Moreover we find that the
conformal theory of A_n singularities of K3 are the same as that of the
symmetric fivebrane. We also find intriguing connections between ADE (1,n)
non-critical strings and singular limits of superconformal theories on the
corresponding ALE space.
| [
{
"created": "Thu, 23 Nov 1995 01:50:20 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Ooguri",
"Hirosi",
"",
"UC Berkeley/LBL"
],
[
"Vafa",
"Cumrun",
"",
"Harvard University"
]
] | We study the degenerating limits of superconformal theories for compactifications on singular K3 and Calabi-Yau threefolds. We find that in both cases the degeneration involves creating an Euclidean two-dimensional black hole coupled weakly to the rest of the system. Moreover we find that the conformal theory of A_n singularities of K3 are the same as that of the symmetric fivebrane. We also find intriguing connections between ADE (1,n) non-critical strings and singular limits of superconformal theories on the corresponding ALE space. |
1103.3399 | Barak Kol | Barak Kol | The Fields of Ultra-Relativistic Gravitation | 5 pages. v2: see footnote 1 for relation to previous work | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In order to facilitate the study of weak ultra-relativistic (and Planckian)
scattering we present an appropriate decomposition of the gravitational field
together with its whole non-linear action. More generally the results apply to
any reduction over a non-degenerate spacetime fiber.
| [
{
"created": "Thu, 17 Mar 2011 12:59:48 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Mar 2011 06:59:07 GMT",
"version": "v2"
}
] | 2011-03-22 | [
[
"Kol",
"Barak",
""
]
] | In order to facilitate the study of weak ultra-relativistic (and Planckian) scattering we present an appropriate decomposition of the gravitational field together with its whole non-linear action. More generally the results apply to any reduction over a non-degenerate spacetime fiber. |
1606.04692 | Salvatore Mignemi | B. Ivetic, S. Mignemi and A. Samsarov | Generalized relativistic kinematics in Poincar\'e-invariant models | 15 pages, plain TeX, some errors have been corrected | Phys. Rev. D 94, 064064 (2016) | 10.1103/PhysRevD.94.064064 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Assuming the validity of the relativity principle, we discuss the
implications on relativistic kinematics of a deformation of the Poincar\'e
invariance that preserves the Poincar\'e algebra, and only modifies its action
on phase space in a Lorentz-invariant way. We show that, in contrast to the
case where the Poincar\'e algebra is deformed, the action of boosts on
two-particle states is not affected, while the addition law of momenta is to a
large extent arbitrary. We give some nontrivial examples of this arising from
doubly special relativity and noncommutative geometry and show that
Hopf-algebra methods give equivalent results.
| [
{
"created": "Wed, 15 Jun 2016 09:18:31 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Aug 2016 16:12:04 GMT",
"version": "v2"
}
] | 2016-09-28 | [
[
"Ivetic",
"B.",
""
],
[
"Mignemi",
"S.",
""
],
[
"Samsarov",
"A.",
""
]
] | Assuming the validity of the relativity principle, we discuss the implications on relativistic kinematics of a deformation of the Poincar\'e invariance that preserves the Poincar\'e algebra, and only modifies its action on phase space in a Lorentz-invariant way. We show that, in contrast to the case where the Poincar\'e algebra is deformed, the action of boosts on two-particle states is not affected, while the addition law of momenta is to a large extent arbitrary. We give some nontrivial examples of this arising from doubly special relativity and noncommutative geometry and show that Hopf-algebra methods give equivalent results. |
hep-th/0105210 | Evgeny Ivanov | E. Ivanov | Superbranes and Super Born-Infeld Theories as Nonlinear Realizations | 16 pp., LaTeX, Contribution to Proceedings of the Seminar ``Classical
and Quantum Integrable Systems'' (Protvino, Russia, 8-11 Jan. 2001) | Theor.Math.Phys.129:1543-1557,2001; Teor.Mat.Fiz.129:278-297,2001 | 10.1023/A:1012887224322 | LPTHE 01-25 | hep-th | null | We outline, on a few instructive examples, the characteristic features of the
approach to superbranes and super Born-Infeld theories based on the concept of
partial spontaneous breaking of global supersymmetry (PBGS). The examples
include the N=1, D=4 supermembrane and the ``space-filling'' D2- and D3-branes.
Besides giving a short account of the available results for these systems, we
present some new developments. For the supermembrane we prove the equivalence
of the equation of motion following from the off-shell Goldstone superfield
action and the one derived directly from the nonlinear realizations formalism.
We give a new derivation of the off-shell Goldstone superfield actions for the
considered systems, using a universal procedure inspired by the relationship
between linear and nonlinear realizations of PBGS.
| [
{
"created": "Mon, 21 May 2001 19:15:38 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ivanov",
"E.",
""
]
] | We outline, on a few instructive examples, the characteristic features of the approach to superbranes and super Born-Infeld theories based on the concept of partial spontaneous breaking of global supersymmetry (PBGS). The examples include the N=1, D=4 supermembrane and the ``space-filling'' D2- and D3-branes. Besides giving a short account of the available results for these systems, we present some new developments. For the supermembrane we prove the equivalence of the equation of motion following from the off-shell Goldstone superfield action and the one derived directly from the nonlinear realizations formalism. We give a new derivation of the off-shell Goldstone superfield actions for the considered systems, using a universal procedure inspired by the relationship between linear and nonlinear realizations of PBGS. |
1105.2092 | Nobuyuki Sawado | Daichi Muranaka, Atsushi Nakamula, Nobuyuki Sawado, Kouichi Toda | Numerical Nahm transform for 2-caloron solutions | 8 pages, 4 figures, 1 table, v2: coincides with Phys.Lett.B version | null | 10.1016/j.physletb.2011.07.073 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new numerical method for performing the Nahm transform for charge $k=2$
caloron is presented. The Weyl equations with boundary impurities are solved
directly and the determination of the appropriate basis to the linear system is
established. The action densities of the 2-calorons with 10 moduli parameters
are shown.
| [
{
"created": "Wed, 11 May 2011 01:55:49 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2011 20:08:45 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Muranaka",
"Daichi",
""
],
[
"Nakamula",
"Atsushi",
""
],
[
"Sawado",
"Nobuyuki",
""
],
[
"Toda",
"Kouichi",
""
]
] | A new numerical method for performing the Nahm transform for charge $k=2$ caloron is presented. The Weyl equations with boundary impurities are solved directly and the determination of the appropriate basis to the linear system is established. The action densities of the 2-calorons with 10 moduli parameters are shown. |
hep-th/9505053 | Edward Witten | Cumrun Vafa and Edward Witten | A One-Loop Test Of String Duality | 12 pages | Nucl.Phys.B447:261-270,1995 | 10.1016/0550-3213(95)00280-6 | HUTP-95-A015, IASSNS-HEP-95-33 | hep-th | null | We test type IIA-heterotic string duality in six dimensions by showing that
the sigma model anomaly of the heterotic string is generated by a combination
of a tree level and a string one-loop correction on the type IIA side.
| [
{
"created": "Tue, 9 May 1995 20:55:31 GMT",
"version": "v1"
}
] | 2010-04-07 | [
[
"Vafa",
"Cumrun",
""
],
[
"Witten",
"Edward",
""
]
] | We test type IIA-heterotic string duality in six dimensions by showing that the sigma model anomaly of the heterotic string is generated by a combination of a tree level and a string one-loop correction on the type IIA side. |
1704.08674 | Spyridon Talaganis | Spyridon Talaganis | Towards UV Finiteness of Infinite Derivative Theories of Gravity and
Field Theories | 20 pages, 5 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we will consider the ultraviolet (UV) finiteness of the most
general one-particle irreducible ($1$PI) Feynman diagrams within the context of
ghost-free, infinite-derivative scalar toy model, which is inspired from ghost
free and singularity-free infinite-derivative theory of gravity. We will show
that by using dressed vertices and dressed propagators, $n$-loop, $N$-point
diagrams constructed out of lower-loop $2$- & $3$-point and, in general,
$N_i$-point diagrams are UV finite with respect to internal and external loop
momentum. Moreover, we will demonstrate that the external momentum dependences
of the $n$-loop, $N$-point diagrams constructed out of lower-loop $2$- &
$3$-point and, in general, $N_i$-point diagrams decrease exponentially as the
loop-order increases and the external momentum divergences are eliminated at
sufficiently high loop-order.
| [
{
"created": "Thu, 27 Apr 2017 17:38:00 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2017 11:25:46 GMT",
"version": "v2"
}
] | 2017-05-23 | [
[
"Talaganis",
"Spyridon",
""
]
] | In this paper we will consider the ultraviolet (UV) finiteness of the most general one-particle irreducible ($1$PI) Feynman diagrams within the context of ghost-free, infinite-derivative scalar toy model, which is inspired from ghost free and singularity-free infinite-derivative theory of gravity. We will show that by using dressed vertices and dressed propagators, $n$-loop, $N$-point diagrams constructed out of lower-loop $2$- & $3$-point and, in general, $N_i$-point diagrams are UV finite with respect to internal and external loop momentum. Moreover, we will demonstrate that the external momentum dependences of the $n$-loop, $N$-point diagrams constructed out of lower-loop $2$- & $3$-point and, in general, $N_i$-point diagrams decrease exponentially as the loop-order increases and the external momentum divergences are eliminated at sufficiently high loop-order. |
hep-th/0611350 | G. S. Krishnaswami | Levent Akant and Govind S. Krishnaswami | Non-anomalous `Ward' identities to supplement large-N multi-matrix loop
equations for correlations | 35 pages, reference added, minor typos corrected, published version | JHEP 0702:073,2007 | 10.1088/1126-6708/2007/02/073 | ITP-UU-06/49, SPIN-06/39 | hep-th | null | This work concerns single-trace correlations of Euclidean multi-matrix
models. In the large-N limit we show that Schwinger-Dyson equations imply loop
equations and non-anomalous Ward identities. Loop equations are associated to
generic infinitesimal changes of matrix variables (vector fields). Ward
identities correspond to vector fields preserving measure and action. The
former are analogous to Makeenko-Migdal equations and the latter to
Slavnov-Taylor identities. Loop equations correspond to leading large-N
Schwinger-Dyson equations. Ward identities correspond to 1/N^2 suppressed
Schwinger-Dyson equations. But they become leading equations since loop
equations for non-anomalous vector fields are vacuous. We show that symmetries
at infinite N persist at finite N, preventing mixing with multi-trace
correlations. For one matrix, there are no non-anomalous infinitesimal
symmetries. For two or more matrices, measure preserving vector fields form an
infinite dimensional graded Lie algebra, and non-anomalous action preserving
ones a subalgebra. For Gaussian, Chern-Simons and Yang-Mills models we identify
up to cubic non-anomalous vector fields, though they can be arbitrarily
non-linear. Ward identities are homogeneous linear equations. We use them with
the loop equations to determine some correlations of these models. Ward
identities alleviate the underdeterminacy of loop equations. Non-anomalous
symmetries give a naturalness-type explanation for why several linear
combinations of correlations in these models vanish.
| [
{
"created": "Thu, 30 Nov 2006 20:38:32 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Apr 2008 12:20:35 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Akant",
"Levent",
""
],
[
"Krishnaswami",
"Govind S.",
""
]
] | This work concerns single-trace correlations of Euclidean multi-matrix models. In the large-N limit we show that Schwinger-Dyson equations imply loop equations and non-anomalous Ward identities. Loop equations are associated to generic infinitesimal changes of matrix variables (vector fields). Ward identities correspond to vector fields preserving measure and action. The former are analogous to Makeenko-Migdal equations and the latter to Slavnov-Taylor identities. Loop equations correspond to leading large-N Schwinger-Dyson equations. Ward identities correspond to 1/N^2 suppressed Schwinger-Dyson equations. But they become leading equations since loop equations for non-anomalous vector fields are vacuous. We show that symmetries at infinite N persist at finite N, preventing mixing with multi-trace correlations. For one matrix, there are no non-anomalous infinitesimal symmetries. For two or more matrices, measure preserving vector fields form an infinite dimensional graded Lie algebra, and non-anomalous action preserving ones a subalgebra. For Gaussian, Chern-Simons and Yang-Mills models we identify up to cubic non-anomalous vector fields, though they can be arbitrarily non-linear. Ward identities are homogeneous linear equations. We use them with the loop equations to determine some correlations of these models. Ward identities alleviate the underdeterminacy of loop equations. Non-anomalous symmetries give a naturalness-type explanation for why several linear combinations of correlations in these models vanish. |
1201.5605 | Jae-Hyuk Oh | Jae-Hyuk Oh | Running Shear Viscosities in Anisotropic Holographic Superfluids | 1+11 pages, computational mistakes are corrected. therefore, the
conclusion is partially changed | null | 10.1007/JHEP06(2012)103 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have examined holographic renormalization group($RG$) flows of the shear
viscosities in anisotropic holographic superfluids via their gravity duals,
Einstein-SU(2) Yang-Mills system. In anisotropic phase, below the critical
temperature $T_c$, the SO(3) isometry(spatial rotation) in the dual gravity
system is broken down to the residual SO(2). The shear viscosities in the
symmetry broken directions of the conformal fluids defined on $AdS$ boundary
present non-universal values which depend on the chemical potential $\mu$ and
temperature $T$ of the system and also satisfy non-trivial holographic
$RG$-flow equations. The shear viscosities flow down to the specific values in
$IR$ region, in fact which are given by the ratios of the metric components in
the symmetry unbroken direction to those in the broken directions, evaluated at
the black brane horizon in the dual gravity system.
| [
{
"created": "Thu, 26 Jan 2012 18:57:58 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2012 15:23:26 GMT",
"version": "v2"
},
{
"created": "Wed, 9 May 2012 17:02:03 GMT",
"version": "v3"
}
] | 2012-06-27 | [
[
"Oh",
"Jae-Hyuk",
""
]
] | We have examined holographic renormalization group($RG$) flows of the shear viscosities in anisotropic holographic superfluids via their gravity duals, Einstein-SU(2) Yang-Mills system. In anisotropic phase, below the critical temperature $T_c$, the SO(3) isometry(spatial rotation) in the dual gravity system is broken down to the residual SO(2). The shear viscosities in the symmetry broken directions of the conformal fluids defined on $AdS$ boundary present non-universal values which depend on the chemical potential $\mu$ and temperature $T$ of the system and also satisfy non-trivial holographic $RG$-flow equations. The shear viscosities flow down to the specific values in $IR$ region, in fact which are given by the ratios of the metric components in the symmetry unbroken direction to those in the broken directions, evaluated at the black brane horizon in the dual gravity system. |
2010.07789 | Evangelos Sfakianakis | Fabio van Dissel and Evangelos I. Sfakianakis | Symmetric multifield oscillons | 46 pages, 21 figures, improvements and edits corresponding to the
published version | Phys.Rev.D 106 (2022) 9, 096018 | 10.1103/PhysRevD.106.096018 | Preprint Nikhef 2020-035 | hep-th astro-ph.CO hep-ph nlin.PS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Oscillons are long-lived, spatially localized field configurations, which are
supported by attractive non-linearities in the scalar potential. We study
oscillons comprised of multiple interacting fields, each having an identical
potential with quadratic, quartic and sextic terms. We consider quartic
interaction terms of either attractive or repulsive nature. In the two-field
case, we construct semi-analytical oscillon profiles for different values of
the potential parameters and coupling strength using the two-timing
small-amplitude formalism. We use analytical and numerical techniques to
explore the basin of attraction of stable oscillon solutions and show that,
depending on the initial perturbation size, unstable oscillons can either
completely disperse or relax to the closest stable configuration. We generalize
our analysis to multifield oscillons and show that the governing equations for
their shape and stability can be mapped to the ones arising in the two-field
case. Finally, we study the emergence of multicomponent oscillons in one and
three spatial dimensions, both numerically and through Floquet theory.
| [
{
"created": "Thu, 15 Oct 2020 14:26:15 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2021 16:16:24 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Jun 2023 15:10:46 GMT",
"version": "v3"
}
] | 2023-06-27 | [
[
"van Dissel",
"Fabio",
""
],
[
"Sfakianakis",
"Evangelos I.",
""
]
] | Oscillons are long-lived, spatially localized field configurations, which are supported by attractive non-linearities in the scalar potential. We study oscillons comprised of multiple interacting fields, each having an identical potential with quadratic, quartic and sextic terms. We consider quartic interaction terms of either attractive or repulsive nature. In the two-field case, we construct semi-analytical oscillon profiles for different values of the potential parameters and coupling strength using the two-timing small-amplitude formalism. We use analytical and numerical techniques to explore the basin of attraction of stable oscillon solutions and show that, depending on the initial perturbation size, unstable oscillons can either completely disperse or relax to the closest stable configuration. We generalize our analysis to multifield oscillons and show that the governing equations for their shape and stability can be mapped to the ones arising in the two-field case. Finally, we study the emergence of multicomponent oscillons in one and three spatial dimensions, both numerically and through Floquet theory. |
hep-th/9605159 | Luis J. Garay | Maximo Banados, Luis J. Garay and Marc Henneaux | The dynamical structure of higher dimensional Chern-Simons theory | 24 pages, LaTeX2.09, no figures, minor bibliographical changes | Nucl.Phys. B476 (1996) 611-635 | 10.1016/0550-3213(96)00384-7 | PAR-LPTHE-96-14, ULB-TH-96/06, IMAFF-RCA-96-01 | hep-th | null | Higher dimensional Chern-Simons theories, even though constructed along the
same topological pattern as in 2+1 dimensions, have been shown recently to have
generically a non-vanishing number of degrees of freedom. In this paper, we
carry out the complete Dirac Hamiltonian analysis (separation of first and
second class constraints and calculation of the Dirac bracket) for a group
GxU(1). We also study the algebra of surface charges that arise in the presence
of boundaries and show that it is isomorphic to the WZW4 discussed in the
literature. Some applications are then considered. It is shown, in particular,
that Chern-Simons gravity in dimensions greater than or equal to five has a
propagating torsion.
| [
{
"created": "Wed, 22 May 1996 10:38:12 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jun 1996 14:26:11 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Banados",
"Maximo",
""
],
[
"Garay",
"Luis J.",
""
],
[
"Henneaux",
"Marc",
""
]
] | Higher dimensional Chern-Simons theories, even though constructed along the same topological pattern as in 2+1 dimensions, have been shown recently to have generically a non-vanishing number of degrees of freedom. In this paper, we carry out the complete Dirac Hamiltonian analysis (separation of first and second class constraints and calculation of the Dirac bracket) for a group GxU(1). We also study the algebra of surface charges that arise in the presence of boundaries and show that it is isomorphic to the WZW4 discussed in the literature. Some applications are then considered. It is shown, in particular, that Chern-Simons gravity in dimensions greater than or equal to five has a propagating torsion. |
2209.06816 | Yuanhong Guo | Yuanhong Guo, Lei Wang, Gang Yang | Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped
Polygons | 11 pages, 7 figures, 3 tables | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain for the first time the analytic two-loop four-point MHV lightlike
form factor of the stress-tensor supermultiplet in planar ${\cal N}=4$ SYM
where the momentum $q$ carried by the operator is taken to be massless.
Remarkably, we find that the two-loop result can be constrained uniquely by the
infrared divergences and the collinear limits using the master-bootstrap
method. Moreover, the remainder function depends only on three dual conformal
invariant variables, which can be understood from a hidden dual conformal
symmetry of the form factor arising in the lightlike limit of $q$. The symbol
alphabet of the remainder contains only nine letters, which are closed under
the action of the dihedral group $D_4$. Based on the dual description in terms
of periodic Wilson lines (null-wrapped polygons), we also consider a new OPE
picture for the lightlike form factors and introduce a new form factor
transition that corresponds to the three-point lightlike form factor. With the
form factor results up to two loops, we make some all-loop predictions using
the OPE picture. A preliminary study at three loops using symbol bootstrap is
discussed.
| [
{
"created": "Wed, 14 Sep 2022 17:59:59 GMT",
"version": "v1"
}
] | 2022-09-15 | [
[
"Guo",
"Yuanhong",
""
],
[
"Wang",
"Lei",
""
],
[
"Yang",
"Gang",
""
]
] | We obtain for the first time the analytic two-loop four-point MHV lightlike form factor of the stress-tensor supermultiplet in planar ${\cal N}=4$ SYM where the momentum $q$ carried by the operator is taken to be massless. Remarkably, we find that the two-loop result can be constrained uniquely by the infrared divergences and the collinear limits using the master-bootstrap method. Moreover, the remainder function depends only on three dual conformal invariant variables, which can be understood from a hidden dual conformal symmetry of the form factor arising in the lightlike limit of $q$. The symbol alphabet of the remainder contains only nine letters, which are closed under the action of the dihedral group $D_4$. Based on the dual description in terms of periodic Wilson lines (null-wrapped polygons), we also consider a new OPE picture for the lightlike form factors and introduce a new form factor transition that corresponds to the three-point lightlike form factor. With the form factor results up to two loops, we make some all-loop predictions using the OPE picture. A preliminary study at three loops using symbol bootstrap is discussed. |
1309.2964 | Vasilis Oikonomou | V.K. Oikonomou | Casimir Force of Fermions Coupled to Monopoles in Six Dimensional
Spacetime | null | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the Casimir force for a fermionic quantum field in a piston
geometry with three parallel plates. The fermion satisfies bag boundary
conditions on the plates and the spacetime is assumed to have compact extra
dimensions. The calculation is performed in the cases where the extra space has
toroidal and spherical topology. We are mainly interested in the case in which
the fermion is coupled non-trivially to an extra dimensional defect, with a
torus extra dimensional topological background. We found that in certain
limits, the Casimir force corresponding to the defect-fermion system and to the
sphere, has opposite sign, in reference to those corresponding to the toroidal
extra dimensional spaces.
| [
{
"created": "Wed, 14 Aug 2013 16:24:28 GMT",
"version": "v1"
}
] | 2013-09-13 | [
[
"Oikonomou",
"V. K.",
""
]
] | We calculate the Casimir force for a fermionic quantum field in a piston geometry with three parallel plates. The fermion satisfies bag boundary conditions on the plates and the spacetime is assumed to have compact extra dimensions. The calculation is performed in the cases where the extra space has toroidal and spherical topology. We are mainly interested in the case in which the fermion is coupled non-trivially to an extra dimensional defect, with a torus extra dimensional topological background. We found that in certain limits, the Casimir force corresponding to the defect-fermion system and to the sphere, has opposite sign, in reference to those corresponding to the toroidal extra dimensional spaces. |
hep-th/9803252 | Miao Li | Miao Li | 't Hooft Vortices on D-branes | 17 pages, harvmac, 2 figures, typos corrected, one reference added;
version 3, comments on number of degrees of freedom added | JHEP 9807 (1998) 003 | 10.1088/1126-6708/1998/07/003 | EFI-98-12 | hep-th | null | The point where a D2-brane intersecting a stack of D2-branes is proposed as a
candidate for the 't Hooft vortex in the world-volume theory of N D2-branes.
This straightforwardly generalizes to D3-branes, where a vortex line is
generated by the intersection. Similarly, there are such objects on M-branes.
We use Maldacena's conjecture to compute the static potential between a vortex
and an anti-vortex in each case, in the large N limit.
| [
{
"created": "Mon, 30 Mar 1998 22:32:57 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Apr 1998 21:08:19 GMT",
"version": "v2"
},
{
"created": "Wed, 27 May 1998 01:37:21 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Li",
"Miao",
""
]
] | The point where a D2-brane intersecting a stack of D2-branes is proposed as a candidate for the 't Hooft vortex in the world-volume theory of N D2-branes. This straightforwardly generalizes to D3-branes, where a vortex line is generated by the intersection. Similarly, there are such objects on M-branes. We use Maldacena's conjecture to compute the static potential between a vortex and an anti-vortex in each case, in the large N limit. |
1811.12791 | Vladimir Rochev | V. E. Rochev | On the phase structure of vector-matrix scalar model in four dimensions | 7 pages | Eur.Phys.J. C 78 (2018) 927 | 10.1140/epjc/s10052-018-6424-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The leading-order equations of the $1/N$ -- expansion for a vector-matrix
model with interaction $g\phi_a^*\phi_b\chi_{ab}$ in four dimensions are
investigated. This investigation shows a change of the asymptotic behavior in
the deep Euclidean region in a vicinity of a certain critical value of the
coupling constant. For small values of the coupling the phion propagator
behaves as free. In the strong-coupling region the asymptotic behavior
drastically changes -- the propagator in the deep Euclidean region tend to some
constant limit. The phion propagator in the coordinate space has a
characteristic shell structure. At the critical value of coupling that
separates the weak and strong coupling regions, the asymptotic behavior of the
phion propagator is a medium among the free behavior and the constant--type
behavior in strong--coupling region. The equation for a vertex with zero
transfer is also investigated. The asymptotic behavior of the solutions shows
the finiteness of the charge renormalization constant. In the strong-coupling
region, the solution for the vertex has the same shell structure in coordinate
space as the phion propagator. An analogy between the phase transition in this
model and the re-arrangement of the physical vacuum in the supercritical
external field due to the "fall-on-the-center" phenomenon is discussed.
| [
{
"created": "Fri, 30 Nov 2018 13:45:16 GMT",
"version": "v1"
}
] | 2018-12-05 | [
[
"Rochev",
"V. E.",
""
]
] | The leading-order equations of the $1/N$ -- expansion for a vector-matrix model with interaction $g\phi_a^*\phi_b\chi_{ab}$ in four dimensions are investigated. This investigation shows a change of the asymptotic behavior in the deep Euclidean region in a vicinity of a certain critical value of the coupling constant. For small values of the coupling the phion propagator behaves as free. In the strong-coupling region the asymptotic behavior drastically changes -- the propagator in the deep Euclidean region tend to some constant limit. The phion propagator in the coordinate space has a characteristic shell structure. At the critical value of coupling that separates the weak and strong coupling regions, the asymptotic behavior of the phion propagator is a medium among the free behavior and the constant--type behavior in strong--coupling region. The equation for a vertex with zero transfer is also investigated. The asymptotic behavior of the solutions shows the finiteness of the charge renormalization constant. In the strong-coupling region, the solution for the vertex has the same shell structure in coordinate space as the phion propagator. An analogy between the phase transition in this model and the re-arrangement of the physical vacuum in the supercritical external field due to the "fall-on-the-center" phenomenon is discussed. |
hep-th/0010235 | Holger Gies | Walter Dittrich (Tubingen U.) | Bloch-Nordsieck Approximation in Linearized Quantum Gravity | 13 pages, 1 figure, Contribution to the proceedings of the "E.S.
Fradkin Memorial Conference", Moscow June 5-10, 2000 | null | null | null | hep-th | null | The aim of this article is to review Fradkin's contribution in the realm of
eikonal physics. In particular, the so-called Fradkin representation is
employed to investigate a certain subclass of Feynman diagrams resulting in an
expression for the scattering amplitude at Planckian energies. The 't Hooft
poles are reproduced.
| [
{
"created": "Wed, 25 Oct 2000 14:21:31 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Dittrich",
"Walter",
"",
"Tubingen U."
]
] | The aim of this article is to review Fradkin's contribution in the realm of eikonal physics. In particular, the so-called Fradkin representation is employed to investigate a certain subclass of Feynman diagrams resulting in an expression for the scattering amplitude at Planckian energies. The 't Hooft poles are reproduced. |
hep-th/0407016 | Dirk Kreimer | Dirk Kreimer | What is the trouble with Dyson--Schwinger equations? | 5 pages contributed to the proceedings "Loops and Legs 2004", April
2004, Zinnowitz, Germany | null | 10.1016/j.nuclphysbps.2004.09.012 | BU-CMP/04-05 | hep-th | null | We discuss similarities and differences between Green Functions in Quantum
Field Theory and polylogarithms. Both can be obtained as solutions of fixpoint
equations which originate from an underlying Hopf algebra structure. Typically,
the equation is linear for the polylog, and non-linear for Green Functions. We
argue though that the crucial difference lies not in the non-linearity of the
latter, but in the appearance of non-trivial representation theory related to
transcendental extensions of the number field which governs the linear
solution. An example is studied to illuminate this point.
| [
{
"created": "Fri, 2 Jul 2004 15:44:58 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kreimer",
"Dirk",
""
]
] | We discuss similarities and differences between Green Functions in Quantum Field Theory and polylogarithms. Both can be obtained as solutions of fixpoint equations which originate from an underlying Hopf algebra structure. Typically, the equation is linear for the polylog, and non-linear for Green Functions. We argue though that the crucial difference lies not in the non-linearity of the latter, but in the appearance of non-trivial representation theory related to transcendental extensions of the number field which governs the linear solution. An example is studied to illuminate this point. |
1301.0537 | David Vegh | David Vegh | Holography without translational symmetry | 8 pages, 3 figures; v2: minor corrections | null | null | CERN-PH-TH/2013-357 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose massive gravity as a holographic framework for describing a class
of strongly interacting quantum field theories with broken translational
symmetry. Bulk gravitons are assumed to have a Lorentz-breaking mass term as a
substitute for spatial inhomogeneities. This breaks momentum-conservation in
the boundary field theory. At finite chemical potential, the gravity duals are
charged black holes in asymptotically anti-de Sitter spacetime. The
conductivity in these systems generally exhibits a Drude peak that approaches a
delta function in the massless gravity limit. Furthermore, the optical
conductivity shows an emergent scaling law: $|\sigma(\omega)| \approx {A \over
\omega^{\alpha}} + B$. This result is consistent with that found earlier by
Horowitz, Santos, and Tong who introduced an explicit inhomogeneous lattice
into the system.
| [
{
"created": "Thu, 3 Jan 2013 20:11:12 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jan 2013 19:50:31 GMT",
"version": "v2"
}
] | 2013-01-16 | [
[
"Vegh",
"David",
""
]
] | We propose massive gravity as a holographic framework for describing a class of strongly interacting quantum field theories with broken translational symmetry. Bulk gravitons are assumed to have a Lorentz-breaking mass term as a substitute for spatial inhomogeneities. This breaks momentum-conservation in the boundary field theory. At finite chemical potential, the gravity duals are charged black holes in asymptotically anti-de Sitter spacetime. The conductivity in these systems generally exhibits a Drude peak that approaches a delta function in the massless gravity limit. Furthermore, the optical conductivity shows an emergent scaling law: $|\sigma(\omega)| \approx {A \over \omega^{\alpha}} + B$. This result is consistent with that found earlier by Horowitz, Santos, and Tong who introduced an explicit inhomogeneous lattice into the system. |
hep-th/9607128 | Yuri N. Obukhov | Yuri N. Obukhov and Franz E. Schunck | Regular solutions in Abelian gauge model | 81 pages, RevTeX, with 25 figures included (text is slightly revised,
some references added, figures are modified; the most essential change is the
inclusion of the Addendum which contains complete set of figures and tables
with 8 valid digit entries) | Phys.Rev. D55 (1997) 2307-2319 | 10.1103/PhysRevD.55.2307 | null | hep-th cond-mat supr-con | null | The regular solutions for the Ginzburg-Landau (-Nielsen-Olesen) Abelian gauge
model are studied numerically. We consider the static isolated cylindrically
symmetric configurations. The well known (Abrikosov) vortices, which present a
particular example of such solutions, play an important role in the theory of
type II superconductors and in the models of structure formation in the early
universe. We find new regular static isolated cylindrically symmetric solutions
which we call the type B and the flux tube solutions. In contrast to the pure
vortex configurations which have finite energy, the new regular solutions
possess a finite Gibbs free energy. The flux tubes appear to be energetically
the most preferable configurations in the interval of external magnetic fields
between the thermodynamic critical value $H_{c}$ and the upper critical field
$H_{c_2}$, while the pure vortex dominate only between the lower critical field
$H_{c_1}$ and $H_{c}$. Our conclusion is thus that type B and flux tube
solutions are important new elements necessary for the correct understanding of
a transition from the vortex state to the completely normal state.
| [
{
"created": "Tue, 16 Jul 1996 10:17:43 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Nov 1996 14:37:43 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Obukhov",
"Yuri N.",
""
],
[
"Schunck",
"Franz E.",
""
]
] | The regular solutions for the Ginzburg-Landau (-Nielsen-Olesen) Abelian gauge model are studied numerically. We consider the static isolated cylindrically symmetric configurations. The well known (Abrikosov) vortices, which present a particular example of such solutions, play an important role in the theory of type II superconductors and in the models of structure formation in the early universe. We find new regular static isolated cylindrically symmetric solutions which we call the type B and the flux tube solutions. In contrast to the pure vortex configurations which have finite energy, the new regular solutions possess a finite Gibbs free energy. The flux tubes appear to be energetically the most preferable configurations in the interval of external magnetic fields between the thermodynamic critical value $H_{c}$ and the upper critical field $H_{c_2}$, while the pure vortex dominate only between the lower critical field $H_{c_1}$ and $H_{c}$. Our conclusion is thus that type B and flux tube solutions are important new elements necessary for the correct understanding of a transition from the vortex state to the completely normal state. |
hep-th/0408085 | Liam McAllister | Liam McAllister and Indrajit Mitra | Relativistic D-brane Scattering is Extremely Inelastic | 30 pages; added references and a comment about velocity-dependent
masses | JHEP0502:019,2005 | 10.1088/1126-6708/2005/02/019 | null | hep-th | null | We study the effects of quantum production of open strings on the
relativistic scattering of D-branes. We find strong corrections to the brane
trajectory from copious production of highly-excited open strings, whose
typical oscillator level is proportional to the square of the rapidity. In the
corrected trajectory, the branes rapidly coincide and remain trapped in a
configuration with enhanced symmetry. This is a purely stringy effect which
makes relativistic brane collisions exceptionally inelastic. We trace this
effect to velocity-dependent corrections to the open-string mass, which render
open strings between relativistic D-branes surprisingly light. We observe that
pair-creation of open strings could play an important role in cosmological
scenarios in which branes approach each other at very high speeds.
| [
{
"created": "Tue, 10 Aug 2004 23:34:11 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Sep 2004 23:41:44 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"McAllister",
"Liam",
""
],
[
"Mitra",
"Indrajit",
""
]
] | We study the effects of quantum production of open strings on the relativistic scattering of D-branes. We find strong corrections to the brane trajectory from copious production of highly-excited open strings, whose typical oscillator level is proportional to the square of the rapidity. In the corrected trajectory, the branes rapidly coincide and remain trapped in a configuration with enhanced symmetry. This is a purely stringy effect which makes relativistic brane collisions exceptionally inelastic. We trace this effect to velocity-dependent corrections to the open-string mass, which render open strings between relativistic D-branes surprisingly light. We observe that pair-creation of open strings could play an important role in cosmological scenarios in which branes approach each other at very high speeds. |
2110.00331 | Kirill Krasnov | Pratik Chattopadhyay and Kirill Krasnov | One-loop same helicity YM amplitudes from BG currents | 26 pages | null | 10.1007/JHEP03(2022)191 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We propose and prove a new formula for the one-loop all same helicity
Yang-Mills amplitudes. These amplitudes are seen to arise as a sum of products
of two tree-level Berends-Giele currents connected by an effective propagator.
To make sense of the propagators one needs to introduce the so-called region,
or dual momenta. The formula is proven by observing that it readily implies the
correct collinear limit properties. The only non-trivial part of the proof is
establishing that our formula for the amplitude is invariant under shifts of
the region momenta.
| [
{
"created": "Fri, 1 Oct 2021 11:48:03 GMT",
"version": "v1"
}
] | 2022-04-13 | [
[
"Chattopadhyay",
"Pratik",
""
],
[
"Krasnov",
"Kirill",
""
]
] | We propose and prove a new formula for the one-loop all same helicity Yang-Mills amplitudes. These amplitudes are seen to arise as a sum of products of two tree-level Berends-Giele currents connected by an effective propagator. To make sense of the propagators one needs to introduce the so-called region, or dual momenta. The formula is proven by observing that it readily implies the correct collinear limit properties. The only non-trivial part of the proof is establishing that our formula for the amplitude is invariant under shifts of the region momenta. |
hep-th/9911148 | Yves Brihaye | Y. Brihaye, B. Hartmann and J. Kunz | Gravitating monopole and black holes at intermediate Higgs masses | RevTeX, 7 pp, 7 figs., same results, description of the numerical
method added | Phys.Rev.D62:044008,2000 | 10.1103/PhysRevD.62.044008 | null | hep-th | null | Self-gravitating SU(2) Higgs magnetic monopoles exist up to a critical value
of the ratio of the vector meson mass to the Planck mass, which depends on the
Higgs boson mass. At the critical value a critical solution with a degenerate
horizon is reached. As pointed out by Lue and Weinberg, there are two types of
critical solutions, with a transition at an intermediate Higgs boson mass. Here
we investigate this transition for black holes, and reconsider it for the case
of gravitating monopoles.
| [
{
"created": "Thu, 18 Nov 1999 15:27:49 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Mar 2000 08:39:42 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Brihaye",
"Y.",
""
],
[
"Hartmann",
"B.",
""
],
[
"Kunz",
"J.",
""
]
] | Self-gravitating SU(2) Higgs magnetic monopoles exist up to a critical value of the ratio of the vector meson mass to the Planck mass, which depends on the Higgs boson mass. At the critical value a critical solution with a degenerate horizon is reached. As pointed out by Lue and Weinberg, there are two types of critical solutions, with a transition at an intermediate Higgs boson mass. Here we investigate this transition for black holes, and reconsider it for the case of gravitating monopoles. |
1111.2555 | Liucheng Wang | Haishan Liu, Hui Luo, Mingxing Luo, Liucheng Wang | Identities in Nonlinear Realizations of Supersymmetry | 15 pages, more discussions added, accepted by Nucl Phys B | null | 10.1016/j.nuclphysb.2012.07.002 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we emphasize that a UV SUSY-breaking theory can be realized
either linearly or nonlinearly. Both realizations form the dual descriptions of
the UV SUSY-breaking theory. Guided by this observation, we find subtle
identities involving the Goldstino field and matter fields in the standard
nonlinear realization from trivial ones in the linear realization. Rather
complicated integrands in the standard nonlinear realization are identified as
total-divergences. Especially, identities only involving the Goldstino field
reveal the self-consistency of the Grassmann algebra. As an application of
these identities, we prove that the nonlinear Kahler potential without or with
gauge interactions is unique, if the corresponding linear one is fixed. Our
identities pick out the total-divergence terms and guarantee this uniqueness.
| [
{
"created": "Thu, 10 Nov 2011 18:50:14 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jul 2012 18:26:32 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Liu",
"Haishan",
""
],
[
"Luo",
"Hui",
""
],
[
"Luo",
"Mingxing",
""
],
[
"Wang",
"Liucheng",
""
]
] | In this paper, we emphasize that a UV SUSY-breaking theory can be realized either linearly or nonlinearly. Both realizations form the dual descriptions of the UV SUSY-breaking theory. Guided by this observation, we find subtle identities involving the Goldstino field and matter fields in the standard nonlinear realization from trivial ones in the linear realization. Rather complicated integrands in the standard nonlinear realization are identified as total-divergences. Especially, identities only involving the Goldstino field reveal the self-consistency of the Grassmann algebra. As an application of these identities, we prove that the nonlinear Kahler potential without or with gauge interactions is unique, if the corresponding linear one is fixed. Our identities pick out the total-divergence terms and guarantee this uniqueness. |
2210.02583 | Nobuyoshi Ohta | Nobuyoshi Ohta | One-loop divergences in higher-derivative gravity | 24 pages. Invited chapter for the Section "Perturbative Quantum
Gravity" of the "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and
I.L. Shapiro, Springer Singapore, expected in 2023), published version | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We give a review of the one-loop divergences in higher derivative gravity
theories. We first make the bilinear expansion in the quantum fluctuation on
arbitrary backgrounds, introduce a higher-derivative gauge fixing and show that
higher-derivative gauge fixing must have ghosts in addition to those naively
expected. We give general formulae for the one-loop divergences in such
theories, and give explicit results for theories with quadratic curvature
terms. In this calculation, we need the heat kernel coefficients for the
four-derivative minimal operators and two-derivative nonminimal vector
operators, which are summarized. We also discuss the beta functions in the
renormalization group, and show that the dimensionless couplings are
asymptotically free. The calculation is also extended to the theories with
arbitrary functions of $R$ and $R_{\mu\nu}^2$. We show that the result is
independent of metric parametrization and gauge on shell.
| [
{
"created": "Wed, 5 Oct 2022 22:13:15 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Sep 2023 03:37:18 GMT",
"version": "v2"
}
] | 2023-09-26 | [
[
"Ohta",
"Nobuyoshi",
""
]
] | We give a review of the one-loop divergences in higher derivative gravity theories. We first make the bilinear expansion in the quantum fluctuation on arbitrary backgrounds, introduce a higher-derivative gauge fixing and show that higher-derivative gauge fixing must have ghosts in addition to those naively expected. We give general formulae for the one-loop divergences in such theories, and give explicit results for theories with quadratic curvature terms. In this calculation, we need the heat kernel coefficients for the four-derivative minimal operators and two-derivative nonminimal vector operators, which are summarized. We also discuss the beta functions in the renormalization group, and show that the dimensionless couplings are asymptotically free. The calculation is also extended to the theories with arbitrary functions of $R$ and $R_{\mu\nu}^2$. We show that the result is independent of metric parametrization and gauge on shell. |
hep-th/9712202 | Djordje Minic | D. Minic (Penn State) | Infinite Statistics and Black Holes in Matrix Theory | 15 pages, plain TeX, no figures | null | null | null | hep-th | null | The concept of infinite statistics is applied to the analysis of black hole
thermodynamics in Matrix Theory. It is argued that Matrix Theory partons,
D0-branes, satisfy quantum infinite statistics, and that this observation
justifies the recently proposed Boltzmann gas model of Schwarzschild black
holes in Matrix Theory.
| [
{
"created": "Sun, 21 Dec 1997 23:45:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Minic",
"D.",
"",
"Penn State"
]
] | The concept of infinite statistics is applied to the analysis of black hole thermodynamics in Matrix Theory. It is argued that Matrix Theory partons, D0-branes, satisfy quantum infinite statistics, and that this observation justifies the recently proposed Boltzmann gas model of Schwarzschild black holes in Matrix Theory. |
1402.3846 | Mark van Loon | Yang-Hui He and Mark van Loon | Gauge Theories, Tessellations & Riemann Surfaces | 89 pages, 43 figures; v2: references and comments added, typos fixed | null | 10.1007/JHEP06(2014)053 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study and classify regular and semi-regular tessellations of Riemann
surfaces of various genera and investigate their corresponding supersymmetric
gauge theories. These tessellations are generalizations of brane tilings, or
bipartite graphs on the torus as well as the Platonic and Archimedean solids on
the sphere. On higher genus they give rise to intricate patterns. Special
attention will be paid to the master space and the moduli space of vacua of the
gauge theory and to how their geometry is determined by the tessellations.
| [
{
"created": "Sun, 16 Feb 2014 22:02:14 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2014 14:26:39 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"He",
"Yang-Hui",
""
],
[
"van Loon",
"Mark",
""
]
] | We study and classify regular and semi-regular tessellations of Riemann surfaces of various genera and investigate their corresponding supersymmetric gauge theories. These tessellations are generalizations of brane tilings, or bipartite graphs on the torus as well as the Platonic and Archimedean solids on the sphere. On higher genus they give rise to intricate patterns. Special attention will be paid to the master space and the moduli space of vacua of the gauge theory and to how their geometry is determined by the tessellations. |
1612.05942 | Ali Alavi | S. A. Alavi, N. Rezaei | Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical
noncommutative spaces | 8 pages, 1 figure | Pramana - J Phys (2017) 88: 77 | 10.1007/s12043-017-1381-4 | null | hep-th hep-ph math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the relativistic Hamiltonian of hydrogen atom in dynamical
noncommutative spaces (DNCS or {\tau}-space). Using this Hamiltonian we
calculate the energy shift of the ground state and as well the [2P]_(1/2),
[2S]_(1/2) levels. In all cases the energy shift depend on the dynamical
noncommutative parameter {\tau}. Using the accuracy of the energy measurement
we obtain an upper bound for {\tau}. We also study the lamb shift in DNCS. Both
the levels [2P]_(1/2) and [2S]_(1/2) receive corrections due to dynamical
noncommutativity of space which is in contrast to the non-dynamical
noncommutative spaces (NDNCS or {\theta}-space) in which the level [2S]_(1/2)
receives no correction.
| [
{
"created": "Sun, 18 Dec 2016 16:29:13 GMT",
"version": "v1"
}
] | 2017-04-20 | [
[
"Alavi",
"S. A.",
""
],
[
"Rezaei",
"N.",
""
]
] | We derive the relativistic Hamiltonian of hydrogen atom in dynamical noncommutative spaces (DNCS or {\tau}-space). Using this Hamiltonian we calculate the energy shift of the ground state and as well the [2P]_(1/2), [2S]_(1/2) levels. In all cases the energy shift depend on the dynamical noncommutative parameter {\tau}. Using the accuracy of the energy measurement we obtain an upper bound for {\tau}. We also study the lamb shift in DNCS. Both the levels [2P]_(1/2) and [2S]_(1/2) receive corrections due to dynamical noncommutativity of space which is in contrast to the non-dynamical noncommutative spaces (NDNCS or {\theta}-space) in which the level [2S]_(1/2) receives no correction. |
hep-th/9505131 | Joachim Maeder AG Ruehl | J. Maeder and W. Ruehl (University Kaiserslautern, Germany) | Double Scaling Limits, Airy Functions and Multicritical Behaviour in
O(N) Vektor Sigma Models | 14 pages, LaTex | null | null | null | hep-th | null | O(N) vector sigma models possessing catastrophes in their action are studied.
Coupling the limit N --> infinity with an appropriate scaling behaviour of the
coupling constants, the partition function develops a singular factor. This is
a generalized Airy function in the case of spacetime dimension zero and the
partition function of a scalar field theory for positive spacetime dimension.
| [
{
"created": "Mon, 22 May 1995 12:01:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Maeder",
"J.",
"",
"University Kaiserslautern, Germany"
],
[
"Ruehl",
"W.",
"",
"University Kaiserslautern, Germany"
]
] | O(N) vector sigma models possessing catastrophes in their action are studied. Coupling the limit N --> infinity with an appropriate scaling behaviour of the coupling constants, the partition function develops a singular factor. This is a generalized Airy function in the case of spacetime dimension zero and the partition function of a scalar field theory for positive spacetime dimension. |
0903.0478 | Mario Martone | A. P. Balachandran and B. A. Qureshi | Poincare' Quasi-Hopf Symmetry and Non-Associative Spacetime Algebra from
Twisted Gauge Theories | 12 pages, Presentation significantly improved, two new sections
added. This version to appear in PRD | Phys.Rev.D81:065006,2010 | 10.1103/PhysRevD.81.065006 | SU-4252-886, DIAS-STP-09-12, PI-other-148 | hep-th gr-qc math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In previous work, starting from the Moyal plane, we formulated interacting
theories of matter and gauge fields with only the former fields twisted. In
this approach, gauge theories, including the standard model, can be formulated
without new gauge degrees of freedom. We show their underlying symmetry algebra
to be Poincar\'e quasi-Hopf . The associated spacetime algebra is hence
non-associative.
| [
{
"created": "Tue, 3 Mar 2009 09:38:51 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Mar 2009 08:44:15 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Feb 2010 12:54:35 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Balachandran",
"A. P.",
""
],
[
"Qureshi",
"B. A.",
""
]
] | In previous work, starting from the Moyal plane, we formulated interacting theories of matter and gauge fields with only the former fields twisted. In this approach, gauge theories, including the standard model, can be formulated without new gauge degrees of freedom. We show their underlying symmetry algebra to be Poincar\'e quasi-Hopf . The associated spacetime algebra is hence non-associative. |
hep-th/0405014 | Yang-Hui Evariste He | Ron Donagi, Yang-Hui He, Burt A. Ovrut, Rene Reinbacher | The Particle Spectrum of Heterotic Compactifications | 77 pages, 3 figures | JHEP0412:054,2004 | 10.1088/1126-6708/2004/12/054 | UPR-1080-T | hep-th math.AG | null | Techniques are presented for computing the cohomology of stable, holomorphic
vector bundles over elliptically fibered Calabi-Yau threefolds. These
cohomology groups explicitly determine the spectrum of the low energy,
four-dimensional theory. Generic points in vector bundle moduli space manifest
an identical spectrum. However, it is shown that on subsets of moduli space of
co-dimension one or higher, the spectrum can abruptly jump to many different
values. Both analytic and numerical data illustrating this phenomenon are
presented. This result opens the possibility of tunneling or phase transitions
between different particle spectra in the same heterotic compactification. In
the course of this discussion, a classification of SU(5) GUT theories within a
specific context is presented.
| [
{
"created": "Mon, 3 May 2004 14:37:02 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Donagi",
"Ron",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Reinbacher",
"Rene",
""
]
] | Techniques are presented for computing the cohomology of stable, holomorphic vector bundles over elliptically fibered Calabi-Yau threefolds. These cohomology groups explicitly determine the spectrum of the low energy, four-dimensional theory. Generic points in vector bundle moduli space manifest an identical spectrum. However, it is shown that on subsets of moduli space of co-dimension one or higher, the spectrum can abruptly jump to many different values. Both analytic and numerical data illustrating this phenomenon are presented. This result opens the possibility of tunneling or phase transitions between different particle spectra in the same heterotic compactification. In the course of this discussion, a classification of SU(5) GUT theories within a specific context is presented. |
1107.1504 | Miguel Paulos | Miguel F. Paulos | Towards Feynman rules for Mellin amplitudes in AdS/CFT | 41 pages, 9 figures v3: Typos corrected. JHEP version | null | 10.1007/JHEP10(2011)074 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the use of the embedding formalism and the Mellin transform in
the calculation of tree-level conformal correlation functions in $AdS$/CFT. We
evaluate 5- and 6-point Mellin amplitudes in $\phi^3$ theory and even a 12-pt
diagram in $\phi^4$ theory, enabling us to conjecture a set of Feynman rules
for scalar Mellin amplitudes. The general vertices are given in terms of
Lauricella generalized hypergeometric functions. We also show how to use the
same combination of Mellin transform and embedding formalism for amplitudes
involving fields with spin. The complicated tensor structures which usually
arise can be written as certain operators acting as projectors on much simpler
index structures - essentially the same ones appearing in a flat space
amplitude. Using these methods we are able to evaluate a four-point current
diagram with current exchange in Yang-Mills theory.
| [
{
"created": "Thu, 7 Jul 2011 20:06:25 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2011 11:11:19 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Oct 2011 11:33:29 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Paulos",
"Miguel F.",
""
]
] | We investigate the use of the embedding formalism and the Mellin transform in the calculation of tree-level conformal correlation functions in $AdS$/CFT. We evaluate 5- and 6-point Mellin amplitudes in $\phi^3$ theory and even a 12-pt diagram in $\phi^4$ theory, enabling us to conjecture a set of Feynman rules for scalar Mellin amplitudes. The general vertices are given in terms of Lauricella generalized hypergeometric functions. We also show how to use the same combination of Mellin transform and embedding formalism for amplitudes involving fields with spin. The complicated tensor structures which usually arise can be written as certain operators acting as projectors on much simpler index structures - essentially the same ones appearing in a flat space amplitude. Using these methods we are able to evaluate a four-point current diagram with current exchange in Yang-Mills theory. |
0912.4679 | Michael Gutperle | Marco Chiodaroli, Eric D'Hoker and Michael Gutperle | Open Worldsheets for Holographic Interfaces | pdflatex, 43 pages, 6 figures, v2: minor corrections | JHEP 1003:060,2010 | 10.1007/JHEP03(2010)060 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Type IIB supergravity admits Janus and multi-Janus solutions with eight
unbroken supersymmetries that are locally asymptotic to AdS_3 x S^3 x M_4
(where M_4 is either T^4 or K_3). These solutions are dual to two or more CFTs
defined on half-planes which share a common line interface. Their geometry
consists of an AdS_2 x S^2 x M_4 fibration over a simply connected Riemann
surface Sigma with boundary.
In the present paper, we show that regular exact solutions exist also for
surfaces Sigma which are not simply connected. Specifically, we construct in
detail solutions for which Sigma has the topology of an annulus. This
construction is generalized to produce solutions for any surface Sigma with the
topology of an open string worldsheet with g holes.
| [
{
"created": "Wed, 23 Dec 2009 16:08:06 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2010 20:51:35 GMT",
"version": "v2"
}
] | 2010-04-23 | [
[
"Chiodaroli",
"Marco",
""
],
[
"D'Hoker",
"Eric",
""
],
[
"Gutperle",
"Michael",
""
]
] | Type IIB supergravity admits Janus and multi-Janus solutions with eight unbroken supersymmetries that are locally asymptotic to AdS_3 x S^3 x M_4 (where M_4 is either T^4 or K_3). These solutions are dual to two or more CFTs defined on half-planes which share a common line interface. Their geometry consists of an AdS_2 x S^2 x M_4 fibration over a simply connected Riemann surface Sigma with boundary. In the present paper, we show that regular exact solutions exist also for surfaces Sigma which are not simply connected. Specifically, we construct in detail solutions for which Sigma has the topology of an annulus. This construction is generalized to produce solutions for any surface Sigma with the topology of an open string worldsheet with g holes. |
0707.1200 | Cosmin Crucean | Cosmin Crucean, Radu Racoceanu | Reduction formalism for Dirac fermions on de Sitter spacetime | 12 pages, no figures | Int.J.Mod.Phys.A23:1075-1087,2008 | 10.1142/S0217751X08039475 | null | hep-th | null | The reduction formulas for Dirac fermions are derived, using the exact
solutions of free Dirac equation on de Sitter spacetime. In the framework of
the perturbation theory one studies the Green functions and derive the
scatering amplitude in the first orders of perturbation theory.
| [
{
"created": "Mon, 9 Jul 2007 09:15:23 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Crucean",
"Cosmin",
""
],
[
"Racoceanu",
"Radu",
""
]
] | The reduction formulas for Dirac fermions are derived, using the exact solutions of free Dirac equation on de Sitter spacetime. In the framework of the perturbation theory one studies the Green functions and derive the scatering amplitude in the first orders of perturbation theory. |
1003.0185 | Vladimir Alexandrovich Krykhtin | I.L. Buchbinder, V.A. Krykhtin | BRST Lagrangian construction for spin-3/2 field in Einstein space | 9 pages; v2: a reference added, misprints removed | Mod.Phys.Lett.A25:1667-1677,2010 | 10.1142/S0217732310033372 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore a hidden possibility of BRST approach to higher spin field theory
to obtain a consistent Lagrangian for massive spin-3/2 field in Einstein space.
Also, we prove that in the space under consideration the propagation of
spin-3/2 field is hyperbolic and causal.
| [
{
"created": "Sun, 28 Feb 2010 15:41:43 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Mar 2010 15:01:19 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Krykhtin",
"V. A.",
""
]
] | We explore a hidden possibility of BRST approach to higher spin field theory to obtain a consistent Lagrangian for massive spin-3/2 field in Einstein space. Also, we prove that in the space under consideration the propagation of spin-3/2 field is hyperbolic and causal. |
1612.05973 | Roberto Menezes | R. Menezes and D. C. Moreira | New models for asymmetric kinks and branes | 10 pages (typos corrected) | null | 10.1016/j.aop.2017.03.013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate new models for scalar fields in flat and curved spacetime. We
note that the global reflection symmetry of the potential that identify the
scalar field model does not exclude the presence of internal asymmetries that
give rise to asymmetric structures. Despite the asymmetry, the new structures
are linearly stable and in the braneworld scenario with an extra dimension of
infinite extend, they may generate new families of asymmetric thick branes that
are robust against small fluctuations in the warped geometry.
| [
{
"created": "Sun, 18 Dec 2016 18:57:35 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2017 00:14:51 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Menezes",
"R.",
""
],
[
"Moreira",
"D. C.",
""
]
] | We investigate new models for scalar fields in flat and curved spacetime. We note that the global reflection symmetry of the potential that identify the scalar field model does not exclude the presence of internal asymmetries that give rise to asymmetric structures. Despite the asymmetry, the new structures are linearly stable and in the braneworld scenario with an extra dimension of infinite extend, they may generate new families of asymmetric thick branes that are robust against small fluctuations in the warped geometry. |
hep-th/0511188 | Giampiero Esposito Dr. | Alfio Bonanno, Giampiero Esposito, Claudio Rubano | Improved Action Functionals in Non-Perturbative Quantum Gravity | Latex file. Record without file already exists on SLAC-SPIRES, and
hence that record and the one for the present arxiv submission should become
one record only | Int.J.Mod.Phys. A20 (2005) 2358-2363 | 10.1142/S0217751X05024626 | DSF-27-2004 | hep-th | null | Models of gravity with variable G and Lambda have acquired greater relevance
after the recent evidence in favour of the Einstein theory being
non-perturbatively renormalizable in the Weinberg sense. The present paper
builds a modified Arnowitt-Deser-Misner (ADM) action functional for such models
which leads to a power-law growth of the scale factor for pure gravity and for
a massless phi**4 theory in a Universe with Robertson-Walker symmetry, in
agreement with the recently developed fixed-point cosmology. Interestingly, the
renormalization-group flow at the fixed point is found to be compatible with a
Lagrangian description of the running quantities G and Lambda.
| [
{
"created": "Fri, 18 Nov 2005 13:04:16 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Bonanno",
"Alfio",
""
],
[
"Esposito",
"Giampiero",
""
],
[
"Rubano",
"Claudio",
""
]
] | Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being non-perturbatively renormalizable in the Weinberg sense. The present paper builds a modified Arnowitt-Deser-Misner (ADM) action functional for such models which leads to a power-law growth of the scale factor for pure gravity and for a massless phi**4 theory in a Universe with Robertson-Walker symmetry, in agreement with the recently developed fixed-point cosmology. Interestingly, the renormalization-group flow at the fixed point is found to be compatible with a Lagrangian description of the running quantities G and Lambda. |
1210.5735 | Xiao Mei Kuang | Xiao-Mei Kuang, Bin Wang and Jian-Pin Wu | Dynamical gap from holography in the charged dilaton black hole | 16 pages, many figures, version accepted to be published in Class.
Quantum Grav | Class. Quantum Grav. 30 (2013) 145011 | 10.1088/0264-9381/30/14/145011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic non-relativistic fermions in the presence of bulk
dipole coupling in charged dilatonic black hole background. We explore the
nontrivial effects of the bulk dipole coupling, the fermion charge as well as
the dilaton field on the flat band, the Fermi surface and the emergence of the
gap by investigating the spectral function of the non-relativistic fermion
system. In particular, we find that the presence of the flat band in the
non-relativistic case will suppress the Fermi momentum. Besides, we observe
that the effect of the dipole coupling in the dilaton gravity is more explicit.
Finally, we consider the non-relativistic fermions at nonzero temperature. A
phase transition from insulator to a conducting state is observed as the
fermion system becomes hotter.
| [
{
"created": "Sun, 21 Oct 2012 15:07:14 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 2013 09:16:09 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Kuang",
"Xiao-Mei",
""
],
[
"Wang",
"Bin",
""
],
[
"Wu",
"Jian-Pin",
""
]
] | We study the holographic non-relativistic fermions in the presence of bulk dipole coupling in charged dilatonic black hole background. We explore the nontrivial effects of the bulk dipole coupling, the fermion charge as well as the dilaton field on the flat band, the Fermi surface and the emergence of the gap by investigating the spectral function of the non-relativistic fermion system. In particular, we find that the presence of the flat band in the non-relativistic case will suppress the Fermi momentum. Besides, we observe that the effect of the dipole coupling in the dilaton gravity is more explicit. Finally, we consider the non-relativistic fermions at nonzero temperature. A phase transition from insulator to a conducting state is observed as the fermion system becomes hotter. |
1710.01051 | Marcin Pi\k{a}tek dr. | Marcin R. Piatek, Artur R. Pietrykowski | Solvable spectral problems from 2d CFT and N=2 gauge theories | 12 pages, 1 fig., based on a talk at ISQS 25, 6-10 June, 2017,
Prague, Czech Republic; to be published in Journal of Physics: Conference
Series | null | 10.1088/1742-6596/965/1/012031 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The so-called 2d/4d correspondences connect two-dimensional conformal field
theory (2d CFT), N=2 supersymmetric gauge theories and quantum integrable
systems. The latter in the simplest case of the SU(2) gauge group are nothing
but the quantum-mechanical systems. In the present article we summarize our
recent results and list open problems concerning an application of the
aforementioned dualities in the studies of spectral problems for some
Schrodinger operators with Mathieu-type periodic, periodic PT-symmetric and
(Heun's) elliptic potentials.
| [
{
"created": "Tue, 3 Oct 2017 09:30:35 GMT",
"version": "v1"
}
] | 2018-03-14 | [
[
"Piatek",
"Marcin R.",
""
],
[
"Pietrykowski",
"Artur R.",
""
]
] | The so-called 2d/4d correspondences connect two-dimensional conformal field theory (2d CFT), N=2 supersymmetric gauge theories and quantum integrable systems. The latter in the simplest case of the SU(2) gauge group are nothing but the quantum-mechanical systems. In the present article we summarize our recent results and list open problems concerning an application of the aforementioned dualities in the studies of spectral problems for some Schrodinger operators with Mathieu-type periodic, periodic PT-symmetric and (Heun's) elliptic potentials. |
hep-th/9905194 | Wolf Sylvain | Sylvain Wolf | Computation of the Central Charge for the Leading Order of the N=2
Super-Yang-Mills Effective Action | 6 pages, LaTeX, Submitted to Phys.Let.B | Mod.Phys.Lett. A14 (1999) 2789-2995 | 10.1142/S0217732399002923 | null | hep-th | null | The central charge in the N=2 Super-Yang-Mills theory plays an essential role
in the work of Seiberg and Witten as it gives the mass spectrum of the BPS
states of the quantum theory. Our aim in this note is to present a direct
computation of this central charge for the leading order (in a momentum
expansion) of the effective action. We will consider the N=2 Super-Yang-Mills
theory with gauge group SU(2). The leading order of the effective action is
given by the same holomorphic function F appearing in the low energy U(1)
effective action.
| [
{
"created": "Wed, 26 May 1999 14:42:55 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Wolf",
"Sylvain",
""
]
] | The central charge in the N=2 Super-Yang-Mills theory plays an essential role in the work of Seiberg and Witten as it gives the mass spectrum of the BPS states of the quantum theory. Our aim in this note is to present a direct computation of this central charge for the leading order (in a momentum expansion) of the effective action. We will consider the N=2 Super-Yang-Mills theory with gauge group SU(2). The leading order of the effective action is given by the same holomorphic function F appearing in the low energy U(1) effective action. |
hep-th/0405094 | Gaston Giribet | Gaetano Bertoldi, Gaston Giribet | Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model | 20 pages | Nucl.Phys.B701:481-496,2004 | 10.1016/j.nuclphysb.2004.07.007 | null | hep-th | null | An infinite set of operator-valued relations that hold for reducible
representations of the sl(2)_k algebra is derived. These relations are
analogous to those recently obtained by Zamolodchikov which involve logarithmic
fields associated to the Virasoro degenerate representations in Liouville
theory. The fusion rules of the sl(2)_k algebra turn out to be a crucial step
in the analysis. The possible relevance of these relations for the boundary
theory in the AdS_3/CFT_2 correspondence is suggested.
| [
{
"created": "Mon, 10 May 2004 21:05:46 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Bertoldi",
"Gaetano",
""
],
[
"Giribet",
"Gaston",
""
]
] | An infinite set of operator-valued relations that hold for reducible representations of the sl(2)_k algebra is derived. These relations are analogous to those recently obtained by Zamolodchikov which involve logarithmic fields associated to the Virasoro degenerate representations in Liouville theory. The fusion rules of the sl(2)_k algebra turn out to be a crucial step in the analysis. The possible relevance of these relations for the boundary theory in the AdS_3/CFT_2 correspondence is suggested. |
2101.04624 | Ashton Lowenstein | Ashton Lowenstein, Avik Chakraborty | Reconstructing the Bulk Dual of ABJM from Holographic Entanglement
Entropy | 8 pages, 2 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Recent work has shown that entanglement and the structure of spacetime are
intimately related. One way to investigate this is to begin with an
entanglement entropy in a conformal field theory (CFT) and use the AdS/CFT
correspondence to calculate the bulk metric. We perform this calculation for
ABJM, a particular 3-dimensional supersymmetric CFT (SCFT), in its ground
state. In particular we are able to reconstruct the pure AdS4 metric from the
holographic entanglement entropy of the boundary ABJM theory in its ground
state. Moreover, we are able to predict the correct AdS radius purely from
entanglement. We also address the general philosophy of relating entanglement
and spacetime through the Holographic Principle, as well as some of the
philosophy behind our calculations.
| [
{
"created": "Tue, 12 Jan 2021 17:25:45 GMT",
"version": "v1"
}
] | 2021-01-13 | [
[
"Lowenstein",
"Ashton",
""
],
[
"Chakraborty",
"Avik",
""
]
] | Recent work has shown that entanglement and the structure of spacetime are intimately related. One way to investigate this is to begin with an entanglement entropy in a conformal field theory (CFT) and use the AdS/CFT correspondence to calculate the bulk metric. We perform this calculation for ABJM, a particular 3-dimensional supersymmetric CFT (SCFT), in its ground state. In particular we are able to reconstruct the pure AdS4 metric from the holographic entanglement entropy of the boundary ABJM theory in its ground state. Moreover, we are able to predict the correct AdS radius purely from entanglement. We also address the general philosophy of relating entanglement and spacetime through the Holographic Principle, as well as some of the philosophy behind our calculations. |
hep-th/9711179 | Chris Hull | C.M. Hull | Matrix Theory, U-Duality and Toroidal Compactifications of M-Theory | 28 Pages, Phyzzx Macro. Minor corrections | JHEP 9810:011,1998 | 10.1088/1126-6708/1998/10/011 | QMW-97-35, LPTENS 97/57 | hep-th | null | Using U-duality, the properties of the matrix theories corresponding to the
compactification of M-theory on $T^d$ are investigated. The couplings of the
$d+1$ dimensional effective Super-Yang-Mills theory to all the M-theory moduli
is deduced and the spectrum of BPS branes in the SYM gives the corresponding
spectrum of the matrix theory.Known results are recovered for $d\le 5$ and
predictions for $d>5$ are proposed. For $d>3$, the spectrum includes $d-4$
branes arising from YM instantons, and U-duality interchanges momentum modes
with brane wrapping modes.For $d=6$, there is a generalised $\th $-angle which
couples to instantonic 3-branes and which combines with the SYM coupling
constant to take values in $SL(2,\R)/U(1)$, acted on by an $SL(2,\Z)$ subgroup
of the U-duality group $E_6(\Z)$. For $d=4,7,8$, there is an $SL(d+1)$
symmetry, suggesting that the matrix theory could be a scale-invariant $d+2$
dimensional theory on $T^{d+1} \times \R$ in these cases, as is already known
to be the case for $d=4$; evidence is found suggesting this happens for $d=8$
but not $d=7$.
| [
{
"created": "Mon, 24 Nov 1997 20:14:01 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 1998 13:23:35 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Hull",
"C. M.",
""
]
] | Using U-duality, the properties of the matrix theories corresponding to the compactification of M-theory on $T^d$ are investigated. The couplings of the $d+1$ dimensional effective Super-Yang-Mills theory to all the M-theory moduli is deduced and the spectrum of BPS branes in the SYM gives the corresponding spectrum of the matrix theory.Known results are recovered for $d\le 5$ and predictions for $d>5$ are proposed. For $d>3$, the spectrum includes $d-4$ branes arising from YM instantons, and U-duality interchanges momentum modes with brane wrapping modes.For $d=6$, there is a generalised $\th $-angle which couples to instantonic 3-branes and which combines with the SYM coupling constant to take values in $SL(2,\R)/U(1)$, acted on by an $SL(2,\Z)$ subgroup of the U-duality group $E_6(\Z)$. For $d=4,7,8$, there is an $SL(d+1)$ symmetry, suggesting that the matrix theory could be a scale-invariant $d+2$ dimensional theory on $T^{d+1} \times \R$ in these cases, as is already known to be the case for $d=4$; evidence is found suggesting this happens for $d=8$ but not $d=7$. |
hep-th/0008246 | Fernando T. Brandt | F. T. Brandt, J. Frenkel and F. R. Machado | Thermal forward scattering amplitudes in temporal gauges | 3 pages, LaTeX, 1 figure. Talk given by F. T. Brandt at ICHEP 2000,
Osaka, Japan, 27 July - 2 August 2000. To appear in the Proceedings | null | null | null | hep-th hep-ph | null | We employ the thermal forward scattering amplitudes technique in order to
compute the gluon self-energy in a class of temporal gauges. The leading T^2
and the sub-leading ln(T) contributions are obtained for temperatures high
compared with the external momentum. The logarithmic contributions have the
same structure as the ultraviolet pole terms which occur at zero temperature
(we have recently extended this result to the Coulomb gauge). We also show that
the prescription poles, characteristic of temporal gauges, do not modify the
leading and sub-leading high-temperature behavior. The one-loop calculation
shows that the thermal self-energy is transverse. This result has also been
extended to higher orders, using the BRS identities.
| [
{
"created": "Thu, 31 Aug 2000 10:54:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"Machado",
"F. R.",
""
]
] | We employ the thermal forward scattering amplitudes technique in order to compute the gluon self-energy in a class of temporal gauges. The leading T^2 and the sub-leading ln(T) contributions are obtained for temperatures high compared with the external momentum. The logarithmic contributions have the same structure as the ultraviolet pole terms which occur at zero temperature (we have recently extended this result to the Coulomb gauge). We also show that the prescription poles, characteristic of temporal gauges, do not modify the leading and sub-leading high-temperature behavior. The one-loop calculation shows that the thermal self-energy is transverse. This result has also been extended to higher orders, using the BRS identities. |
0911.1149 | Igor M. Suslov | I. M. Suslov (Kapitza Institute for Physical Problems, Moscow, Russia) | Strong coupling asymptotics of the \beta-function in \phi^4 theory and
QED | Invited talk at the International conference LUMINY 09 (September 28
- October 3, 2009, Luminy, France), Latex, 18 pages, 9 figures included | Appl.Numer.Math.60:1418,2010 | null | null | hep-th cond-mat.stat-mech hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The well-known algorithm for summing of divergent series is based on the
Borel transformation in combination with the conformal mapping (Le Guillou and
Zinn-Justin, 1977). Modification of this algorithm allows to determine a strong
coupling asymptotics of the sum of the series through the values of the
expansion coefficients. Application of the algorithm to the \beta-function of
\phi^4 theory leads to the asymptotics \beta(g)=\beta_\infty g^\alpha at
g\to\infty, where \alpha\approx 1 for space dimensions d=2,3,4. The natural
hypothesis arises, that asymptotic behavior is \beta(g)\sim g for all d.
Consideration of the "toy" zero-dimensional model confirms the hypothesis and
reveals the origin of this result: it is related with a zero of a certain
functional integral. Generalization of this mechanism to the arbitrary space
dimensionality leads to the linear asymptotics of \beta(g) for all d. The same
idea can be applied for QED and gives asymptotics \beta(g)=g, where g is the
running fine structure constant. Relation to the "zero charge" problem is
discussed.
| [
{
"created": "Thu, 5 Nov 2009 22:59:15 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Oct 2010 00:21:58 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Suslov",
"I. M.",
"",
"Kapitza Institute for Physical Problems, Moscow, Russia"
]
] | The well-known algorithm for summing of divergent series is based on the Borel transformation in combination with the conformal mapping (Le Guillou and Zinn-Justin, 1977). Modification of this algorithm allows to determine a strong coupling asymptotics of the sum of the series through the values of the expansion coefficients. Application of the algorithm to the \beta-function of \phi^4 theory leads to the asymptotics \beta(g)=\beta_\infty g^\alpha at g\to\infty, where \alpha\approx 1 for space dimensions d=2,3,4. The natural hypothesis arises, that asymptotic behavior is \beta(g)\sim g for all d. Consideration of the "toy" zero-dimensional model confirms the hypothesis and reveals the origin of this result: it is related with a zero of a certain functional integral. Generalization of this mechanism to the arbitrary space dimensionality leads to the linear asymptotics of \beta(g) for all d. The same idea can be applied for QED and gives asymptotics \beta(g)=g, where g is the running fine structure constant. Relation to the "zero charge" problem is discussed. |
hep-th/0605041 | Pallab Basu | Luis Alvarez-Gaume, Pallab Basu, Marcos Marino, Spenta R. Wadia | Blackhole/String Transition for the Small Schwarzschild Blackhole of
$AdS_5 \times S^5$ and Critical Unitary Matrix Models | 44 pages, Minor changes,the submitted version in the journal | Eur.Phys.J.C48:647-665,2006 | 10.1140/epjc/s10052-006-0049-x | CERN-PH-TH/2006-078, TIFR/TH/06-01 | hep-th | null | In this paper we discuss the blackhole-string transition of the small
Schwarzschild blackhole of $AdS_5 \times S^5$ using the AdS/CFT correspondence
at finite temperature. The finite temperature gauge theory effective action, at
weak {\it and} strong coupling, can be expressed entirely in terms of constant
Polyakov lines which are $SU (N)$ matrices. In showing this we have taken into
account that there are no Nambu-Goldstone modes associated with the fact that
the 10 dimensional blackhole solution sits at a point in $S^5$. We show that
the phase of the gauge theory in which the eigenvalue spectrum has a gap
corresponds to supergravity saddle points in the bulk theory. We identify the
third order $N = \infty$ phase transition with the blackhole-string transition.
This singularity can be resolved using a double scaling limit in the transition
region where the large N expansion is organized in terms of powers of
$N^{-2/3}$. The $N = \infty$ transition now becomes a smooth crossover in terms
of a renormalized string coupling constant, reflecting the physics of large but
finite N. Multiply wound Polyakov lines condense in the crossover region. We
also discuss the implications of our results for the resolution of the
singularity of the Lorenztian section of the small Schwarzschild blackhole.
| [
{
"created": "Wed, 3 May 2006 14:52:27 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jun 2006 09:22:46 GMT",
"version": "v2"
},
{
"created": "Sun, 3 Sep 2006 21:00:49 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Alvarez-Gaume",
"Luis",
""
],
[
"Basu",
"Pallab",
""
],
[
"Marino",
"Marcos",
""
],
[
"Wadia",
"Spenta R.",
""
]
] | In this paper we discuss the blackhole-string transition of the small Schwarzschild blackhole of $AdS_5 \times S^5$ using the AdS/CFT correspondence at finite temperature. The finite temperature gauge theory effective action, at weak {\it and} strong coupling, can be expressed entirely in terms of constant Polyakov lines which are $SU (N)$ matrices. In showing this we have taken into account that there are no Nambu-Goldstone modes associated with the fact that the 10 dimensional blackhole solution sits at a point in $S^5$. We show that the phase of the gauge theory in which the eigenvalue spectrum has a gap corresponds to supergravity saddle points in the bulk theory. We identify the third order $N = \infty$ phase transition with the blackhole-string transition. This singularity can be resolved using a double scaling limit in the transition region where the large N expansion is organized in terms of powers of $N^{-2/3}$. The $N = \infty$ transition now becomes a smooth crossover in terms of a renormalized string coupling constant, reflecting the physics of large but finite N. Multiply wound Polyakov lines condense in the crossover region. We also discuss the implications of our results for the resolution of the singularity of the Lorenztian section of the small Schwarzschild blackhole. |
hep-th/9812249 | Zupnik B. M. | B.M. Zupnik | Constrained superpotentials in harmonic gauge theories with 8
supercharges | LATEX file, 9 pages, version published in Teor. Mat. Fiz | Theor.Math.Phys. 120 (1999) 1087-1093; Teor.Mat.Fiz. 120 (1999)
324-331 | 10.1007/BF02557415 | null | hep-th | null | We consider D-dimensional supersymmetric gauge theories with 8 supercharges
(D<6,$~\mathcal{N}=8$) in the framework of harmonic superspaces. The effective
Abelian low-energy action for D=5 contains the free and Chern-Simons terms.
Effective $\mathcal{N}=8$ superfield actions for D<4 can be written in terms of
the superpotentials satisfying the superfield constraints and (6-D)-dimensional
Laplace equations. The role of alternative harmonic structures is discussed.
| [
{
"created": "Thu, 31 Dec 1998 12:15:12 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jul 1999 09:27:16 GMT",
"version": "v2"
}
] | 2017-09-07 | [
[
"Zupnik",
"B. M.",
""
]
] | We consider D-dimensional supersymmetric gauge theories with 8 supercharges (D<6,$~\mathcal{N}=8$) in the framework of harmonic superspaces. The effective Abelian low-energy action for D=5 contains the free and Chern-Simons terms. Effective $\mathcal{N}=8$ superfield actions for D<4 can be written in terms of the superpotentials satisfying the superfield constraints and (6-D)-dimensional Laplace equations. The role of alternative harmonic structures is discussed. |
2004.07242 | Jorrit Kruthoff | Luca V. Iliesiu, Jorrit Kruthoff, Gustavo J. Turiaci and Herman
Verlinde | JT gravity at finite cutoff | 41 pages, 4 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the partition function of $2D$ Jackiw-Teitelboim (JT) gravity at
finite cutoff in two ways: (i) via an exact evaluation of the Wheeler-DeWitt
wave-functional in radial quantization and (ii) through a direct computation of
the Euclidean path integral. Both methods deal with Dirichlet boundary
conditions for the metric and the dilaton. In the first approach, the radial
wavefunctionals are found by reducing the constraint equations to two first
order functional derivative equations that can be solved exactly, including
factor ordering. In the second approach we perform the path integral exactly
when summing over surfaces with disk topology, to all orders in perturbation
theory in the cutoff. Both results precisely match the recently derived
partition function in the Schwarzian theory deformed by an operator analogous
to the $T\bar{T}$ deformation in $2D$ CFTs. This equality can be seen as
concrete evidence for the proposed holographic interpretation of the $T\bar{T}$
deformation as the movement of the AdS boundary to a finite radial distance in
the bulk.
| [
{
"created": "Wed, 15 Apr 2020 18:00:00 GMT",
"version": "v1"
}
] | 2020-04-17 | [
[
"Iliesiu",
"Luca V.",
""
],
[
"Kruthoff",
"Jorrit",
""
],
[
"Turiaci",
"Gustavo J.",
""
],
[
"Verlinde",
"Herman",
""
]
] | We compute the partition function of $2D$ Jackiw-Teitelboim (JT) gravity at finite cutoff in two ways: (i) via an exact evaluation of the Wheeler-DeWitt wave-functional in radial quantization and (ii) through a direct computation of the Euclidean path integral. Both methods deal with Dirichlet boundary conditions for the metric and the dilaton. In the first approach, the radial wavefunctionals are found by reducing the constraint equations to two first order functional derivative equations that can be solved exactly, including factor ordering. In the second approach we perform the path integral exactly when summing over surfaces with disk topology, to all orders in perturbation theory in the cutoff. Both results precisely match the recently derived partition function in the Schwarzian theory deformed by an operator analogous to the $T\bar{T}$ deformation in $2D$ CFTs. This equality can be seen as concrete evidence for the proposed holographic interpretation of the $T\bar{T}$ deformation as the movement of the AdS boundary to a finite radial distance in the bulk. |
hep-th/9512106 | Frank Antonuccio | F.Antonuccio & S.Dalley | A (1+1)-Dimensional Reduced Model of Mesons | LaTex 13 pages; 2 figures, uuencoded file (PostScript) | Phys.Lett. B376 (1996) 154-162 | 10.1016/0370-2693(96)00231-6 | OUTP-9548P / DAMTP-95-71 | hep-th hep-ph | null | We propose an extension of 't Hooft's large-$N_c$ light-front QCD in two
dimensions to include helicity and physical gluon degrees of freedom, modelled
on a classical dimensional reduction of four dimensional QCD. A
non-perturbative renormalisation of the infinite set of coupled integral
equations describing boundstates is performed. These equations are then solved,
both analytically in a phase space wavefunction approximation and numerically
by discretising momenta, for (hybrid) meson masses and (polarized) parton
structure functions.
| [
{
"created": "Thu, 14 Dec 1995 20:37:46 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Antonuccio",
"F.",
""
],
[
"Dalley",
"S.",
""
]
] | We propose an extension of 't Hooft's large-$N_c$ light-front QCD in two dimensions to include helicity and physical gluon degrees of freedom, modelled on a classical dimensional reduction of four dimensional QCD. A non-perturbative renormalisation of the infinite set of coupled integral equations describing boundstates is performed. These equations are then solved, both analytically in a phase space wavefunction approximation and numerically by discretising momenta, for (hybrid) meson masses and (polarized) parton structure functions. |
2212.14002 | Hai Lin | Hai Lin | Coherent state operators, giant gravitons, and gauge-gravity
correspondence | 36 pages | Annals of Physics, 451 (2023), 169248 | 10.1016/j.aop.2023.169248 | null | hep-th gr-qc math-ph math.MP quant-ph | http://creativecommons.org/licenses/by/4.0/ | We generalize a construction of coherent state operators describing various
giant graviton branes. We enlarge the coherent state parameters, by including
complementary coherent state parameters, to describe a system of dual giants
and giants. One of the advantages of using complementary coherent state
parameters is that they have rich sub-block structures that record different
type of giant gravitons or wrapped branes. The coherent state parameters are
further packaged into supermatrix, to construct special coherent states, which
encode information of both giants and dual giants. We add strings onto the
coherent state operators. The string-added states capture near-BPS states.
Hence the constructions of BPS coherent state operators are also useful for
analyzing near-BPS states. The coherent state representation, auxiliary
integrals, as well as auxiliary susy integrals, facilitate the computations
efficiently. We describe multi-matrix operators and BPS states, and unify some
classes of operators. Finally, reduced coherent states as well as their
fermionic counterparts are discussed.
| [
{
"created": "Wed, 28 Dec 2022 18:19:47 GMT",
"version": "v1"
}
] | 2023-02-22 | [
[
"Lin",
"Hai",
""
]
] | We generalize a construction of coherent state operators describing various giant graviton branes. We enlarge the coherent state parameters, by including complementary coherent state parameters, to describe a system of dual giants and giants. One of the advantages of using complementary coherent state parameters is that they have rich sub-block structures that record different type of giant gravitons or wrapped branes. The coherent state parameters are further packaged into supermatrix, to construct special coherent states, which encode information of both giants and dual giants. We add strings onto the coherent state operators. The string-added states capture near-BPS states. Hence the constructions of BPS coherent state operators are also useful for analyzing near-BPS states. The coherent state representation, auxiliary integrals, as well as auxiliary susy integrals, facilitate the computations efficiently. We describe multi-matrix operators and BPS states, and unify some classes of operators. Finally, reduced coherent states as well as their fermionic counterparts are discussed. |
1301.5707 | Petr Satunin | Petr Satunin | Width of photon decay in magnetic field: elementary semiclassical
derivation and sensitivity to Lorentz violation | 12 pages, 1 figure | null | 10.1103/PhysRevD.87.105015 | null | hep-th astro-ph.HE hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an elementary derivation of the width of photon decay in a weak
magnetic field using the semiclassical method of worldline instantons. The
calculation is generalized to a model of quantum electrodynamics with broken
Lorentz symmetry. Implications for the search of deviations from Lorentz
invariance in the cosmic ray experiments are discussed.
| [
{
"created": "Thu, 24 Jan 2013 06:07:57 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Satunin",
"Petr",
""
]
] | We present an elementary derivation of the width of photon decay in a weak magnetic field using the semiclassical method of worldline instantons. The calculation is generalized to a model of quantum electrodynamics with broken Lorentz symmetry. Implications for the search of deviations from Lorentz invariance in the cosmic ray experiments are discussed. |
hep-th/0107060 | Kengo Maeda | K. Maeda (UCSB), T. Torii (U. of Tokyo), M. Narita (Waseda Univ.), and
S. Yahikozawa (U. of Rikkyo) | The stability of the shell of D6-D2 branes in a ${\cal N}=2$
supergravity solution | 14 pages, 3 figures, corrected some calculations | Phys.Rev. D65 (2002) 024030 | 10.1103/PhysRevD.65.024030 | RUP-01-06 | hep-th | null | The stability of the shell of wrapped D6-branes on K3 is investigated from
the point of view of supergravity. We first construct an effective
energy-momentum tensor for the shell under the reasonable conditions and show
that supersymmetric solutions satisfy Israel's junction conditions at arbitrary
radius of the shell. Next we study the perturbation of the whole system
including the self-gravity of the shell. It is found that in spite of the
existence of wrapped D6-branes with negative tension, there is no eigenmode
whose frequencies of the shell and the fields are imaginary numbers, at any
radius of the shell. Furthermore, when the radius of the shell is less than the
enhan\c{c}on radius, resonances are produced, and this indicates a kind of
``instability'' of the system. This can even classically explain why the shell
is constructed at the enhan\c{c}on radius.
| [
{
"created": "Sat, 7 Jul 2001 01:18:20 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2001 23:08:58 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Maeda",
"K.",
"",
"UCSB"
],
[
"Torii",
"T.",
"",
"U. of Tokyo"
],
[
"Narita",
"M.",
"",
"Waseda Univ."
],
[
"Yahikozawa",
"S.",
"",
"U. of Rikkyo"
]
] | The stability of the shell of wrapped D6-branes on K3 is investigated from the point of view of supergravity. We first construct an effective energy-momentum tensor for the shell under the reasonable conditions and show that supersymmetric solutions satisfy Israel's junction conditions at arbitrary radius of the shell. Next we study the perturbation of the whole system including the self-gravity of the shell. It is found that in spite of the existence of wrapped D6-branes with negative tension, there is no eigenmode whose frequencies of the shell and the fields are imaginary numbers, at any radius of the shell. Furthermore, when the radius of the shell is less than the enhan\c{c}on radius, resonances are produced, and this indicates a kind of ``instability'' of the system. This can even classically explain why the shell is constructed at the enhan\c{c}on radius. |
0911.0538 | Damien George | Damien P. George, Raymond R. Volkas | Dynamics of the infinitely-thin kink | 13 pages; v2: added references, to appear in Phys Lett B | Phys. Lett. B704 (2011) 646-651 | 10.1016/j.physletb.2011.09.084 | NIKHEF/2009-028 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the dynamics of the domain-wall kink soliton, in particular we
study the zero mode of translation. In the infinitely-thin kink limit, we show
that the zero mode is almost completely frozen out, the only remnant being a
dynamically constrained four-dimensional mode of a single but arbitrary
frequency. In relation to this result, we show that the usual mode expansion
for dealing with zero modes -- implicit collective coordinates -- is not in
fact a completely general expansion, and that one must use instead a
traditional generalised Fourier analysis.
| [
{
"created": "Tue, 3 Nov 2009 10:41:27 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Sep 2011 17:15:41 GMT",
"version": "v2"
}
] | 2011-10-12 | [
[
"George",
"Damien P.",
""
],
[
"Volkas",
"Raymond R.",
""
]
] | We consider the dynamics of the domain-wall kink soliton, in particular we study the zero mode of translation. In the infinitely-thin kink limit, we show that the zero mode is almost completely frozen out, the only remnant being a dynamically constrained four-dimensional mode of a single but arbitrary frequency. In relation to this result, we show that the usual mode expansion for dealing with zero modes -- implicit collective coordinates -- is not in fact a completely general expansion, and that one must use instead a traditional generalised Fourier analysis. |
2209.08991 | Patrick Draper | Tom Banks and Patrick Draper | Comments on the Entanglement Spectrum of de Sitter Space | 10 pages | null | 10.1007/JHEP01(2023)135 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that the Schwarzschild-de Sitter black hole entropy formula does not
imply that the entanglement spectrum of the vacuum density matrix of de Sitter
space is flat. Specifically, we show that the expectation value of a random
projection operator of dimension $d\gg 1$, on a Hilbert space of dimension
$D\gg d$ and in a density matrix $\rho = e^{-K}$ with strictly positive
spectrum, is $\frac{d}{D}\left(1 + o(\frac{1}{\sqrt{d}})\right)$, independent
of the spectrum of the density matrix. In addition, for a suitable class of
spectra the asymptotic estimates ${\rm Tr} (\rho K) \sim {\rm ln}\ D - o(1)$
and $ {\rm Tr} [\rho (K - \langle K\rangle)^2] = a \langle K \rangle$ are
compatible for any order one constant $a$. We discuss a simple family of matrix
models and projections that can replicate such modular Hamiltonians and the SdS
entropy formula.
| [
{
"created": "Mon, 19 Sep 2022 13:08:46 GMT",
"version": "v1"
}
] | 2023-02-08 | [
[
"Banks",
"Tom",
""
],
[
"Draper",
"Patrick",
""
]
] | We argue that the Schwarzschild-de Sitter black hole entropy formula does not imply that the entanglement spectrum of the vacuum density matrix of de Sitter space is flat. Specifically, we show that the expectation value of a random projection operator of dimension $d\gg 1$, on a Hilbert space of dimension $D\gg d$ and in a density matrix $\rho = e^{-K}$ with strictly positive spectrum, is $\frac{d}{D}\left(1 + o(\frac{1}{\sqrt{d}})\right)$, independent of the spectrum of the density matrix. In addition, for a suitable class of spectra the asymptotic estimates ${\rm Tr} (\rho K) \sim {\rm ln}\ D - o(1)$ and $ {\rm Tr} [\rho (K - \langle K\rangle)^2] = a \langle K \rangle$ are compatible for any order one constant $a$. We discuss a simple family of matrix models and projections that can replicate such modular Hamiltonians and the SdS entropy formula. |
1301.0429 | Jia-ju Zhang | Bin Chen, Zhao Xue and Jia-ju Zhang | Note on Thermodynamics Method of Black Hole/CFT Correspondence | 31 pages, references added, published version | JHEP 1303 (2013) 102 | 10.1007/JHEP03(2013)102 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the paper we further refine the thermodynamics method of black hole/CFT
correspondence. We show that one can derive the central charges of different
holographic pictures directly from the entropy product $S_+S_-$ if it is
mass-independent, for a black hole in the Einstein gravity or the gravity
without diffeomorphism anomaly. For a general black hole in the Einstein
gravity that admits holographic descriptions, we show that the thermodynamics
method and asymptotic symmetry group (ASG) analysis can always give consistent
results in the extreme limit. Furthermore, we discuss the relation between
black hole thermodynamics and the hidden conformal symmetry. We show that the
condition $T_+A_+=T_-A_-$, with $A_\pm$ being the outer and inner horizon
areas, is the necessary, but not sufficient, condition for a black hole to have
the hidden conformal symmetry. In particular, for the Einstein(-Maxwell)
gravity $T_+A_+=T_-A_-$ is just the condition $T_+S_+=T_-S_-$, with $S_\pm$
being the outer and inner horizon entropies, which is the condition for the
entropy product $S_+S_-$ being mass-dependent. When there exists the hidden
conformal symmetry in the low-frequency scattering off the generic non-extremal
black hole, it always leads to the same temperatures of dual CFT as the ones
got from the thermodynamics method.
| [
{
"created": "Thu, 3 Jan 2013 11:58:01 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 2013 14:52:54 GMT",
"version": "v2"
}
] | 2013-04-04 | [
[
"Chen",
"Bin",
""
],
[
"Xue",
"Zhao",
""
],
[
"Zhang",
"Jia-ju",
""
]
] | In the paper we further refine the thermodynamics method of black hole/CFT correspondence. We show that one can derive the central charges of different holographic pictures directly from the entropy product $S_+S_-$ if it is mass-independent, for a black hole in the Einstein gravity or the gravity without diffeomorphism anomaly. For a general black hole in the Einstein gravity that admits holographic descriptions, we show that the thermodynamics method and asymptotic symmetry group (ASG) analysis can always give consistent results in the extreme limit. Furthermore, we discuss the relation between black hole thermodynamics and the hidden conformal symmetry. We show that the condition $T_+A_+=T_-A_-$, with $A_\pm$ being the outer and inner horizon areas, is the necessary, but not sufficient, condition for a black hole to have the hidden conformal symmetry. In particular, for the Einstein(-Maxwell) gravity $T_+A_+=T_-A_-$ is just the condition $T_+S_+=T_-S_-$, with $S_\pm$ being the outer and inner horizon entropies, which is the condition for the entropy product $S_+S_-$ being mass-dependent. When there exists the hidden conformal symmetry in the low-frequency scattering off the generic non-extremal black hole, it always leads to the same temperatures of dual CFT as the ones got from the thermodynamics method. |
1908.03750 | Fiorenzo Bastianelli | Fiorenzo Bastianelli and Matteo Broccoli | Weyl fermions in a non-abelian gauge background and trace anomalies | 14 pages | null | 10.1007/JHEP10(2019)241 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the trace and chiral anomalies of Weyl fermions in a non-abelian
gauge background in four dimensions. Using a Pauli-Villars regularization we
identify the trace anomaly, proving that it can be cast in a gauge invariant
form, even in the presence of the non-abelian chiral anomaly, that we rederive
to check the consistency of our methods. In particular, we find that the trace
anomaly does not contain any parity-odd topological contribution, whose
presence has been debated in the recent literature.
| [
{
"created": "Sat, 10 Aug 2019 13:29:15 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Broccoli",
"Matteo",
""
]
] | We study the trace and chiral anomalies of Weyl fermions in a non-abelian gauge background in four dimensions. Using a Pauli-Villars regularization we identify the trace anomaly, proving that it can be cast in a gauge invariant form, even in the presence of the non-abelian chiral anomaly, that we rederive to check the consistency of our methods. In particular, we find that the trace anomaly does not contain any parity-odd topological contribution, whose presence has been debated in the recent literature. |
1810.01264 | Masahito Yamazaki | Kallol Sen, Masahito Yamazaki | Polology of Superconformal Blocks | 48+1 pages, 1 figure; v2: published version | Comm. Math. Phys. 374, 785-821 (2020) | 10.1007/s00220-019-03572-8 | IPMU17-0063 | hep-th math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically classify all possible poles of superconformal blocks as a
function of the scaling dimension of intermediate operators, for all
superconformal algebras in dimensions three and higher. This is done by working
out the recently-proven irreducibility criterion for parabolic Verma modules
for classical basic Lie superalgebras. The result applies to correlators for
external operators of arbitrary spin, and indicates presence of infinitely many
short multiplets of superconformal algebras, most of which are non-unitary. We
find a set of poles whose positions are shifted by linear in $\mathcal{N}$ for
$\mathcal{N}$-extended supersymmetry. We find an interesting subtlety for 3d
$\mathcal{N}$-extended superconformal algebra with $\mathcal{N}$ odd associated
with odd non-isotropic roots. We also comment on further applications to
superconformal blocks.
| [
{
"created": "Tue, 2 Oct 2018 14:07:52 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Aug 2019 08:41:04 GMT",
"version": "v2"
}
] | 2020-03-06 | [
[
"Sen",
"Kallol",
""
],
[
"Yamazaki",
"Masahito",
""
]
] | We systematically classify all possible poles of superconformal blocks as a function of the scaling dimension of intermediate operators, for all superconformal algebras in dimensions three and higher. This is done by working out the recently-proven irreducibility criterion for parabolic Verma modules for classical basic Lie superalgebras. The result applies to correlators for external operators of arbitrary spin, and indicates presence of infinitely many short multiplets of superconformal algebras, most of which are non-unitary. We find a set of poles whose positions are shifted by linear in $\mathcal{N}$ for $\mathcal{N}$-extended supersymmetry. We find an interesting subtlety for 3d $\mathcal{N}$-extended superconformal algebra with $\mathcal{N}$ odd associated with odd non-isotropic roots. We also comment on further applications to superconformal blocks. |
2210.16861 | Daniel Kapec | Daniel Kapec and Adam Tropper | Integrable Field Theories and Their CCFT Duals | 26 pages, 2 figures | null | 10.1007/JHEP02(2023)128 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the Mellin transforms of various two-dimensional integrable
$S$-matrices, providing the first explicit, non-perturbative realizations of
celestial CFT. In two dimensions, the Mellin transform is simply the Fourier
transform in rapidity space, and the "celestial correlator" has no position
dependence. The simplified setting allows us to study the analytic properties
of CCFT correlators exactly as a function of the conformal dimensions. We find
that the correlators exist as real distributions of the conformal weights, with
asymptotics controlled by the mass spectrum and three-point couplings of the
model. Coupling these models to a flat space limit of JT gravity preserves
integrability and dresses the amplitudes by a rapidly varying gravitational
phase. We find that the coupling to gravity smooths out certain singular
aspects of the Mellin-transformed correlators.
| [
{
"created": "Sun, 30 Oct 2022 15:23:51 GMT",
"version": "v1"
}
] | 2023-03-22 | [
[
"Kapec",
"Daniel",
""
],
[
"Tropper",
"Adam",
""
]
] | We compute the Mellin transforms of various two-dimensional integrable $S$-matrices, providing the first explicit, non-perturbative realizations of celestial CFT. In two dimensions, the Mellin transform is simply the Fourier transform in rapidity space, and the "celestial correlator" has no position dependence. The simplified setting allows us to study the analytic properties of CCFT correlators exactly as a function of the conformal dimensions. We find that the correlators exist as real distributions of the conformal weights, with asymptotics controlled by the mass spectrum and three-point couplings of the model. Coupling these models to a flat space limit of JT gravity preserves integrability and dresses the amplitudes by a rapidly varying gravitational phase. We find that the coupling to gravity smooths out certain singular aspects of the Mellin-transformed correlators. |
hep-th/0506232 | Alberto Zaffaroni | Agostino Butti and Alberto Zaffaroni | R-charges from toric diagrams and the equivalence of a-maximization and
Z-minimization | 43 pages, 17 figures; minor corrections | JHEP 0511:019,2005 | 10.1088/1126-6708/2005/11/019 | null | hep-th | null | We conjecture a general formula for assigning R-charges and multiplicities
for the chiral fields of all gauge theories living on branes at toric
singularities. We check that the central charge and the dimensions of all the
chiral fields agree with the information on volumes that can be extracted from
toric geometry. We also analytically check the equivalence between the volume
minimization procedure discovered in hep-th/0503183 and a-maximization, for the
most general toric diagram. Our results can be considered as a very general
check of the AdS/CFT correspondence, valid for all superconformal theories
associated with toric singularities.
| [
{
"created": "Mon, 27 Jun 2005 18:13:49 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jul 2005 10:05:46 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Aug 2005 15:36:28 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Butti",
"Agostino",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | We conjecture a general formula for assigning R-charges and multiplicities for the chiral fields of all gauge theories living on branes at toric singularities. We check that the central charge and the dimensions of all the chiral fields agree with the information on volumes that can be extracted from toric geometry. We also analytically check the equivalence between the volume minimization procedure discovered in hep-th/0503183 and a-maximization, for the most general toric diagram. Our results can be considered as a very general check of the AdS/CFT correspondence, valid for all superconformal theories associated with toric singularities. |
hep-th/9112028 | null | E. Bergshoeff and M. de Roo | N=2\ $W$-supergravity | 44 pages | Int.J.Mod.Phys. A8 (1993) 237-276 | 10.1016/0370-2693(92)90713-E | null | hep-th | null | We quantise the classical gauge theory of $N=2\ w_\infty$-supergravity and
show how the underlying $N=2$ super-$w_\infty$ algebra gets deformed into an
$N=2$ super-$W_\infty$ algebra. Both algebras contain the $N=2$ super-Virasoro
algebra as a subalgebra. We discuss how one can extract from these results
information about quantum $N=2\ W_N$-supergravity theories containing a finite
number of higher-spin symmetries with superspin $s\le N$. As an example we
discuss the case of quantum $N=2\ W_3$-supergravity.
| [
{
"created": "Thu, 12 Dec 1991 14:00:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bergshoeff",
"E.",
""
],
[
"de Roo",
"M.",
""
]
] | We quantise the classical gauge theory of $N=2\ w_\infty$-supergravity and show how the underlying $N=2$ super-$w_\infty$ algebra gets deformed into an $N=2$ super-$W_\infty$ algebra. Both algebras contain the $N=2$ super-Virasoro algebra as a subalgebra. We discuss how one can extract from these results information about quantum $N=2\ W_N$-supergravity theories containing a finite number of higher-spin symmetries with superspin $s\le N$. As an example we discuss the case of quantum $N=2\ W_3$-supergravity. |
hep-th/0203213 | Sergei Gukov | Sergei Gukov, Cumrun Vafa | Rational Conformal Field Theories and Complex Multiplication | 39 pages, 6 figures, harvmac; references added | Commun.Math.Phys. 246 (2004) 181-210 | 10.1007/s00220-003-1032-0 | HUTP-02/A004, ITEP-TH-19/02 | hep-th | null | We study the geometric interpretation of two dimensional rational conformal
field theories, corresponding to sigma models on Calabi-Yau manifolds. We
perform a detailed study of RCFT's corresponding to T^2 target and identify the
Cardy branes with geometric branes. The T^2's leading to RCFT's admit ``complex
multiplication'' which characterizes Cardy branes as specific D0-branes. We
propose a condition for the conformal sigma model to be RCFT for arbitrary
Calabi-Yau n-folds, which agrees with the known cases. Together with recent
conjectures by mathematicians it appears that rational conformal theories are
not dense in the space of all conformal theories, and sometimes appear to be
finite in number for Calabi-Yau n-folds for n>2. RCFT's on K3 may be dense. We
speculate about the meaning of these special points in the moduli spaces of
Calabi-Yau n-folds in connection with freezing geometric moduli.
| [
{
"created": "Fri, 22 Mar 2002 16:18:26 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Oct 2002 23:57:01 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Gukov",
"Sergei",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We study the geometric interpretation of two dimensional rational conformal field theories, corresponding to sigma models on Calabi-Yau manifolds. We perform a detailed study of RCFT's corresponding to T^2 target and identify the Cardy branes with geometric branes. The T^2's leading to RCFT's admit ``complex multiplication'' which characterizes Cardy branes as specific D0-branes. We propose a condition for the conformal sigma model to be RCFT for arbitrary Calabi-Yau n-folds, which agrees with the known cases. Together with recent conjectures by mathematicians it appears that rational conformal theories are not dense in the space of all conformal theories, and sometimes appear to be finite in number for Calabi-Yau n-folds for n>2. RCFT's on K3 may be dense. We speculate about the meaning of these special points in the moduli spaces of Calabi-Yau n-folds in connection with freezing geometric moduli. |
2107.01533 | Yiming Chen | Yiming Chen | Revisiting $R^4$ higher curvature corrections to black holes | 9+2 pages; v2: added reference and clarification | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the corrections to black holes due to the $R^4$ terms in the
action. We discuss corrections to the metric and possible scalar fields, as
well as corrections to thermodynamic quantities. We also comment on the large
$D$ limit of the solutions.
| [
{
"created": "Sun, 4 Jul 2021 03:51:29 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Jul 2021 00:29:36 GMT",
"version": "v2"
}
] | 2021-07-20 | [
[
"Chen",
"Yiming",
""
]
] | We revisit the corrections to black holes due to the $R^4$ terms in the action. We discuss corrections to the metric and possible scalar fields, as well as corrections to thermodynamic quantities. We also comment on the large $D$ limit of the solutions. |
hep-th/0612072 | Eric Bergshoeff | Eric A. Bergshoeff, Jelle Hartong, Tomas Ortin and Diederik Roest | Seven-branes and Supersymmetry | 31 pages, 3 figures | JHEP 0702:003,2007 | 10.1088/1126-6708/2007/02/003 | null | hep-th | null | We re-investigate the construction of half-supersymmetric 7-brane solutions
of IIB supergravity. Our method is based on the requirement of having globally
well-defined Killing spinors and the inclusion of SL(2,Z)-invariant source
terms. In addition to the well-known solutions going back to Greene, Shapere,
Vafa and Yau we find new supersymmetric configurations, containing objects
whose monodromies are not related to the monodromy of a D7-brane by an SL(2,Z)
transformation.
| [
{
"created": "Fri, 8 Dec 2006 14:32:41 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"Hartong",
"Jelle",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Roest",
"Diederik",
""
]
] | We re-investigate the construction of half-supersymmetric 7-brane solutions of IIB supergravity. Our method is based on the requirement of having globally well-defined Killing spinors and the inclusion of SL(2,Z)-invariant source terms. In addition to the well-known solutions going back to Greene, Shapere, Vafa and Yau we find new supersymmetric configurations, containing objects whose monodromies are not related to the monodromy of a D7-brane by an SL(2,Z) transformation. |
2012.14224 | Florian Loebbert | Florian Loebbert, Jan Plefka, Canxin Shi, Tianheng Wang | Three-Body Effective Potential in General Relativity at Second
Post-Minkowskian Order and Resulting Post-Newtonian Contributions | 15 pages, 5 figures, 1 ancillary machine-readable file, v2: minor
improvements and additions, title adapted to journal title | Phys. Rev. D 103, 064010 (2021) | 10.1103/PhysRevD.103.064010 | HU-EP-20/44, SAGEX-20-30-E | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Post-Minkowskian (PM) and Post-Newtonian (PN) expansions of the
gravitational three-body effective potential. At order 2PM a formal result is
given in terms of a differential operator acting on the maximal generalized cut
of the one-loop triangle integral. We compute the integral in all kinematic
regions and show that the leading terms in the PN expansion are reproduced. We
then perform the PN expansion unambiguously at the level of the integrand.
Finding agreement with the 2PN three-body potential after integration, we
explicitly present new $G^2v^4$-contributions at order 3PN and outline the
generalization to $G^2v^{2n}$. The integrals that represent the essential input
for these results are obtained by applying the recent Yangian bootstrap
directly to their $\epsilon$-expansion around three dimensions. The coordinate
space Yangian generator that we employ to obtain these integrals can be
understood as a special conformal symmetry in a dual momentum space.
| [
{
"created": "Mon, 28 Dec 2020 13:34:02 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Mar 2021 20:14:29 GMT",
"version": "v2"
}
] | 2021-03-11 | [
[
"Loebbert",
"Florian",
""
],
[
"Plefka",
"Jan",
""
],
[
"Shi",
"Canxin",
""
],
[
"Wang",
"Tianheng",
""
]
] | We study the Post-Minkowskian (PM) and Post-Newtonian (PN) expansions of the gravitational three-body effective potential. At order 2PM a formal result is given in terms of a differential operator acting on the maximal generalized cut of the one-loop triangle integral. We compute the integral in all kinematic regions and show that the leading terms in the PN expansion are reproduced. We then perform the PN expansion unambiguously at the level of the integrand. Finding agreement with the 2PN three-body potential after integration, we explicitly present new $G^2v^4$-contributions at order 3PN and outline the generalization to $G^2v^{2n}$. The integrals that represent the essential input for these results are obtained by applying the recent Yangian bootstrap directly to their $\epsilon$-expansion around three dimensions. The coordinate space Yangian generator that we employ to obtain these integrals can be understood as a special conformal symmetry in a dual momentum space. |
1609.06920 | Robert Brandenberger | Stephon Alexander, Robert Brandenberger and Juerg Froehlich | Dark Energy and Dark Matter in a Model of an Axion Coupled to a
Non-Abelian Gauge Field | 11 pages, 1 figure | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study cosmological field configurations (solutions) in a model in which
the pseudo-scalar phase of a complex field couples to the Pontryagin density of
a massive non-abelian gauge field, in analogy to how the Peccei-Quinn axion
field couples to the $SU(3)$-color gauge field of QCD. Assuming that the
self-interaction potential of the complex scalar field has the typical {\it
Mexican hat} form, we find that the radial fluctuations of this field can act
as {\it Dark Matter}, while its phase may give rise to tracking {\it Dark
Energy}. In our model, Dark-Energy domination will, however, not continue for
ever. A new component of dark matter, namely the one originating from the gauge
field, will dominate in the future.
| [
{
"created": "Thu, 22 Sep 2016 11:45:26 GMT",
"version": "v1"
}
] | 2016-09-23 | [
[
"Alexander",
"Stephon",
""
],
[
"Brandenberger",
"Robert",
""
],
[
"Froehlich",
"Juerg",
""
]
] | We study cosmological field configurations (solutions) in a model in which the pseudo-scalar phase of a complex field couples to the Pontryagin density of a massive non-abelian gauge field, in analogy to how the Peccei-Quinn axion field couples to the $SU(3)$-color gauge field of QCD. Assuming that the self-interaction potential of the complex scalar field has the typical {\it Mexican hat} form, we find that the radial fluctuations of this field can act as {\it Dark Matter}, while its phase may give rise to tracking {\it Dark Energy}. In our model, Dark-Energy domination will, however, not continue for ever. A new component of dark matter, namely the one originating from the gauge field, will dominate in the future. |
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