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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1103.2732 | Chris Austin | Chris Austin | d = 11 Supergravity on almost flat R^4 times a compact hyperbolic
7-manifold, and the dip and bump seen in ATLAS-CONF-2010-088 | LaTeX2e, 61 pages, uses breqn.sty. v2: corrections to abstract and
section 1, breqn now used correctly, partly fixed bib. v3: abstract revised,
article revised and extended, bib fixed. v4: corrections to abstract and
article, ref added | null | null | null | hep-th gr-qc hep-ex hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Rough estimates are presented to show that the bump at 1.7 to 1.9 TeV seen in
ATLAS-CONF-2010-088 could arise from about 10^{30} approximately degenerate
Kaluza-Klein states of the d = 11 supergravity multiplet in the s channel, that
could arise from compactification of d = 11 supergravity on a 7-manifold with a
compact hyperbolic Cartesian factor of intrinsic volume around 10^{34} and
curvature radius an inverse TeV. A first hypothesis that the modes in the bump
arise from a large degeneracy that restores agreement between the spectral
staircase and the Weyl asymptotic formula immediately above the spectral gap
gives a number of modes that is too large by a factor of around 60000. An
alternative hypothesis that the modes in the bump arise from harmonic forms on
the compact 7-manifold that are classically massless and acquire approximately
equal masses from the leading quantum corrections to the CJS action naturally
explains the slight reduction on a logarithmic scale in the number of modes
relative to the first hypothesis, and predicts that the bump is spin 0 if the
compact hyperbolic factor of large intrinsic volume is 7-dimensional, and a
mixture of spins 0 and 1 if it is 5-dimensional or 3-dimensional. Even
dimensions probably give too many modes. A provisional solution of the
quantum-corrected d = 11 Einstein equations on a compact hyperbolic 7-manifold
times 4 almost flat extended dimensions whose de Sitter radius can easily be as
large as the observed value is considered, and a Horava-Witten boundary is
introduced to accommodate the Standard Model fields.
| [
{
"created": "Mon, 14 Mar 2011 18:25:09 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2011 19:33:09 GMT",
"version": "v2"
},
{
"created": "Sat, 30 Apr 2011 16:22:16 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Jul 2011 18:52:36 GMT",
"version": "v4"
}
] | 2011-07-12 | [
[
"Austin",
"Chris",
""
]
] | Rough estimates are presented to show that the bump at 1.7 to 1.9 TeV seen in ATLAS-CONF-2010-088 could arise from about 10^{30} approximately degenerate Kaluza-Klein states of the d = 11 supergravity multiplet in the s channel, that could arise from compactification of d = 11 supergravity on a 7-manifold with a compact hyperbolic Cartesian factor of intrinsic volume around 10^{34} and curvature radius an inverse TeV. A first hypothesis that the modes in the bump arise from a large degeneracy that restores agreement between the spectral staircase and the Weyl asymptotic formula immediately above the spectral gap gives a number of modes that is too large by a factor of around 60000. An alternative hypothesis that the modes in the bump arise from harmonic forms on the compact 7-manifold that are classically massless and acquire approximately equal masses from the leading quantum corrections to the CJS action naturally explains the slight reduction on a logarithmic scale in the number of modes relative to the first hypothesis, and predicts that the bump is spin 0 if the compact hyperbolic factor of large intrinsic volume is 7-dimensional, and a mixture of spins 0 and 1 if it is 5-dimensional or 3-dimensional. Even dimensions probably give too many modes. A provisional solution of the quantum-corrected d = 11 Einstein equations on a compact hyperbolic 7-manifold times 4 almost flat extended dimensions whose de Sitter radius can easily be as large as the observed value is considered, and a Horava-Witten boundary is introduced to accommodate the Standard Model fields. |
hep-th/9702026 | Barry McCoy | A. Berkovich, B.M. McCoy, A. Schilling and S.O. Warnaar | Bailey flows and Bose-Fermi identities for the conformal coset models
$(A^{(1)}_1)_N\times (A^{(1)}_1)_{N'}/(A^{(1)}_1)_{N+N'}$ | 28 pages, AMS-Latex, two references added | Nucl.Phys. B499 (1997) 621-649 | 10.1016/S0550-3213(97)82955-0 | ITP-SB-97-02, University of Melbourne preprint 04-97 | hep-th | null | We use the recently established higher-level Bailey lemma and Bose-Fermi
polynomial identities for the minimal models $M(p,p')$ to demonstrate the
existence of a Bailey flow from $M(p,p')$ to the coset models
$(A^{(1)}_1)_N\times (A^{(1)}_1)_{N'}/(A^{(1)}_1)_{N+N'}$ where $N$ is a
positive integer and $N'$ is fractional, and to obtain Bose-Fermi identities
for these models. The fermionic side of these identities is expressed in terms
of the fractional-level Cartan matrix introduced in the study of $M(p,p')$.
Relations between Bailey and renormalization group flow are discussed.
| [
{
"created": "Mon, 3 Feb 1997 20:37:46 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 1997 16:18:43 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Berkovich",
"A.",
""
],
[
"McCoy",
"B. M.",
""
],
[
"Schilling",
"A.",
""
],
[
"Warnaar",
"S. O.",
""
]
] | We use the recently established higher-level Bailey lemma and Bose-Fermi polynomial identities for the minimal models $M(p,p')$ to demonstrate the existence of a Bailey flow from $M(p,p')$ to the coset models $(A^{(1)}_1)_N\times (A^{(1)}_1)_{N'}/(A^{(1)}_1)_{N+N'}$ where $N$ is a positive integer and $N'$ is fractional, and to obtain Bose-Fermi identities for these models. The fermionic side of these identities is expressed in terms of the fractional-level Cartan matrix introduced in the study of $M(p,p')$. Relations between Bailey and renormalization group flow are discussed. |
hep-th/9311053 | Jose Luiz Matheus Valle | J.L. Matheus-Valle and M.R-Monteiro | Anyonic Construction of the $SL_{Q,s}(2)$ Algebra | 15 pages, latex, CBPF-NF-062/93 (save the file eqnus.sty, included
AFTER the {\end{document}}, on the directory you are running latex) | Mod.Phys.Lett.A9:945-954,1994 | 10.1142/S0217732394000770 | null | hep-th | null | Considering anyonic oscillators in a two-dimensional lattice, we realize the
quantum semi-group $sl_{(q,s)}(2)$ by means of a generalized Schwinger
construction. We find that the parameter $q$ of the algebra is connected to the
statistical parameter, whereas the $s$ parameter is related to a $s$-deformed
oscillator introduced at each point of the lattice.
| [
{
"created": "Tue, 9 Nov 1993 18:09:27 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Matheus-Valle",
"J. L.",
""
],
[
"R-Monteiro",
"M.",
""
]
] | Considering anyonic oscillators in a two-dimensional lattice, we realize the quantum semi-group $sl_{(q,s)}(2)$ by means of a generalized Schwinger construction. We find that the parameter $q$ of the algebra is connected to the statistical parameter, whereas the $s$ parameter is related to a $s$-deformed oscillator introduced at each point of the lattice. |
hep-th/0702157 | Hyeong-Chan Kim | Hyeong-Chan Kim and Jae Hyung Yee | A new variational perturbation method for double well oscillators | 29 pages, 5 figures | AnnalsPhys.323:1424-1459,2008 | 10.1016/j.aop.2007.11.006 | null | hep-th quant-ph | null | We propose a variational perturbation method based on the observation that
eigenvalues of each parity sector of both the anharmonic and double-well
oscillators are approximately equi-distanced. The generalized deformed algebra
satisfied by the invariant operators of the systems provides well defined
Hilbert spaces to both of the oscillators. There appears a natural expansion
parameter defined by the ratios of three distance scales of the trial
wavefunctions. The energies of the ground state and the first order excited
state, in the $0^{th}$ order variational approximation, are obtained with
errors $<10^{-2}$% for vast range of the coupling strength for both
oscillators. An iterative formula is presented which perturbatively generates
higher order corrections from the lower order invariant operators and the first
order correction is explicitly given.
| [
{
"created": "Tue, 20 Feb 2007 13:47:23 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Apr 2007 03:40:57 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kim",
"Hyeong-Chan",
""
],
[
"Yee",
"Jae Hyung",
""
]
] | We propose a variational perturbation method based on the observation that eigenvalues of each parity sector of both the anharmonic and double-well oscillators are approximately equi-distanced. The generalized deformed algebra satisfied by the invariant operators of the systems provides well defined Hilbert spaces to both of the oscillators. There appears a natural expansion parameter defined by the ratios of three distance scales of the trial wavefunctions. The energies of the ground state and the first order excited state, in the $0^{th}$ order variational approximation, are obtained with errors $<10^{-2}$% for vast range of the coupling strength for both oscillators. An iterative formula is presented which perturbatively generates higher order corrections from the lower order invariant operators and the first order correction is explicitly given. |
1702.05840 | Yi-Jian Du | Rijun Huang, Yi-Jian Du, Bo Feng | Understanding the Cancelation of Double Poles in the Pfaffian of
CHY-formulism | 30 pages,6 figures,1 table, footnote added | null | 10.1007/JHEP06(2017)133 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a physical field theory, the tree-level amplitudes should possess only
single poles. However, when computing amplitudes with Cachazo-He-Yuan (CHY)
formulation, individual terms in the intermediate steps will contribute
higher-order poles. In this paper, we investigate the cancelation of
higher-order poles in CHY formula with Pfaffian as the building block. We
develop a diagrammatic rule for expanding the reduced Pfaffian. Then by
organizing diagrams in appropriate groups and applying the cross-ratio
identities, we show that all potential contributions to higher-order poles in
the reduced Pfaffian are canceled out, i.e., only single poles survive in
Yang-Mills theory and gravity. Furthermore, we show the cancelations of
higher-order poles in other field theories by introducing appropriate
truncations, based on the single pole structure of Pfaffian.
| [
{
"created": "Mon, 20 Feb 2017 02:37:30 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Mar 2017 00:02:09 GMT",
"version": "v2"
}
] | 2017-08-02 | [
[
"Huang",
"Rijun",
""
],
[
"Du",
"Yi-Jian",
""
],
[
"Feng",
"Bo",
""
]
] | For a physical field theory, the tree-level amplitudes should possess only single poles. However, when computing amplitudes with Cachazo-He-Yuan (CHY) formulation, individual terms in the intermediate steps will contribute higher-order poles. In this paper, we investigate the cancelation of higher-order poles in CHY formula with Pfaffian as the building block. We develop a diagrammatic rule for expanding the reduced Pfaffian. Then by organizing diagrams in appropriate groups and applying the cross-ratio identities, we show that all potential contributions to higher-order poles in the reduced Pfaffian are canceled out, i.e., only single poles survive in Yang-Mills theory and gravity. Furthermore, we show the cancelations of higher-order poles in other field theories by introducing appropriate truncations, based on the single pole structure of Pfaffian. |
hep-th/0510140 | Dmitriy Pak | Y. M. Cho and D. G. Pak | Stable Monopole-Antimonopole String Background in SU(2) QCD | 7 pages | Phys.Lett.B632:745-751,2006 | 10.1016/j.physletb.2005.11.040 | SNUTP-05-14 | hep-th | null | Motivated by the instability of the Savvidy-Nielsen-Olesen vacuum we make a
systematic search for a stable magnetic background in pure SU(2) QCD. It is
shown that a pair of axially symmetric monopole and antimonopole strings is
stable, provided that the distance between the two strings is less than a
critical value. The existence of a stable monopole-antimonopole string
background strongly supports that a magnetic condensation of
monopole-antimonopole pairs can generate a dynamical symmetry breaking, and
thus the magnetic confinement of color in QCD.
| [
{
"created": "Mon, 17 Oct 2005 17:25:09 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cho",
"Y. M.",
""
],
[
"Pak",
"D. G.",
""
]
] | Motivated by the instability of the Savvidy-Nielsen-Olesen vacuum we make a systematic search for a stable magnetic background in pure SU(2) QCD. It is shown that a pair of axially symmetric monopole and antimonopole strings is stable, provided that the distance between the two strings is less than a critical value. The existence of a stable monopole-antimonopole string background strongly supports that a magnetic condensation of monopole-antimonopole pairs can generate a dynamical symmetry breaking, and thus the magnetic confinement of color in QCD. |
hep-th/0502212 | Anton Kapustin | Anton Kapustin | A-branes and Noncommutative Geometry | 15 pages, latex | null | null | CALT-68-2544 | hep-th | null | We argue that for a certain class of symplectic manifolds the category of
A-branes (which includes the Fukaya category as a full subcategory) is
equivalent to a noncommutative deformation of the category of B-branes (which
is equivalent to the derived category of coherent sheaves) on the same
manifold. This equivalence is different from Mirror Symmetry and arises from
the Seiberg-Witten transform which relates gauge theories on commutative and
noncommutative spaces. More generally, we argue that for certain generalized
complex manifolds the category of generalized complex branes is equivalent to a
noncommutative deformation of the derived category of coherent sheaves on the
same manifold. We perform a simple test of our proposal in the case when the
manifold in question is a symplectic torus.
| [
{
"created": "Wed, 23 Feb 2005 17:56:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kapustin",
"Anton",
""
]
] | We argue that for a certain class of symplectic manifolds the category of A-branes (which includes the Fukaya category as a full subcategory) is equivalent to a noncommutative deformation of the category of B-branes (which is equivalent to the derived category of coherent sheaves) on the same manifold. This equivalence is different from Mirror Symmetry and arises from the Seiberg-Witten transform which relates gauge theories on commutative and noncommutative spaces. More generally, we argue that for certain generalized complex manifolds the category of generalized complex branes is equivalent to a noncommutative deformation of the derived category of coherent sheaves on the same manifold. We perform a simple test of our proposal in the case when the manifold in question is a symplectic torus. |
hep-th/9805111 | George Kraniotis | D. Bailin, G.V. Kraniotis and A. Love | CP-violating phases in the CKM matrix in orbifold compactifications | LaTeX file 17 pages | Phys.Lett.B435:323-330,1998 | 10.1016/S0370-2693(98)00804-1 | SUSX-TH-98-006 | hep-th hep-ph | null | The picture of CP-violation in orbifold compactifications in which the
$T$-modulus is at a complex fixed point of the modular group is studied.
CP-violation in the neutral kaon system and in the neutron electric dipole
moment are both discussed. The situation where the $T$-modulus takes complex
values on the unit circle which are not at a fixed point is also discussed.
| [
{
"created": "Mon, 18 May 1998 16:45:54 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Bailin",
"D.",
""
],
[
"Kraniotis",
"G. V.",
""
],
[
"Love",
"A.",
""
]
] | The picture of CP-violation in orbifold compactifications in which the $T$-modulus is at a complex fixed point of the modular group is studied. CP-violation in the neutral kaon system and in the neutron electric dipole moment are both discussed. The situation where the $T$-modulus takes complex values on the unit circle which are not at a fixed point is also discussed. |
2206.01636 | Alexey Litvinov | Dmitry Kolyaskin, Alexey Litvinov and Arkady Zhukov | R-matrix formulation of affine Yangian of $\hat{\mathfrak{gl}}(1|1)$ | null | null | 10.1016/j.nuclphysb.2022.116023 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We study $\mathcal{N}=2$ superconformal field theory and define the R-matrix
which acts as an intertwining operator between different realizations of
$\mathcal{N}=2$ $W-$algebras of type $A$. Using this R-matrix we define $RLL$
algebra and relate it to current realization of affine Yangian of
$\hat{\mathfrak{gl}}(1|1)$.
| [
{
"created": "Fri, 3 Jun 2022 15:25:41 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2022 08:55:48 GMT",
"version": "v2"
}
] | 2022-12-14 | [
[
"Kolyaskin",
"Dmitry",
""
],
[
"Litvinov",
"Alexey",
""
],
[
"Zhukov",
"Arkady",
""
]
] | We study $\mathcal{N}=2$ superconformal field theory and define the R-matrix which acts as an intertwining operator between different realizations of $\mathcal{N}=2$ $W-$algebras of type $A$. Using this R-matrix we define $RLL$ algebra and relate it to current realization of affine Yangian of $\hat{\mathfrak{gl}}(1|1)$. |
hep-th/0504058 | Peter Mayr | P. Berglund and P. Mayr | Non-Perturbative Superpotentials in F-theory and String Duality | 49 pages, harvmac, 1 figure; references & figures added | null | 10.1007/JHEP01(2013)114 | LMU-ASC 28/05, UNH-05-02 | hep-th | null | We use open-closed string duality between F-theory on K3xK3 and type II
strings on CY manifolds without branes to study non-perturbative
superpotentials in generalized flux compactifications. On the F-theory side we
obtain the full flux potential including D3-instanton contributions and show
that it leads to an explicit and simple realization of the three ingredients of
the KKLT model for stringy dS vacua. The D3-instanton contribution is highly
non-trivial, can be systematically computed including the determinant factors
and demonstrates that a particular flux lifts very effectively zero modes on
the instanton. On the closed string side, we propose a generalization of the
Gukov-Vafa-Witten superpotential for type II strings on generalized CY
manifolds, depending on all moduli multiplets.
| [
{
"created": "Thu, 7 Apr 2005 19:59:12 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2005 09:48:12 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Berglund",
"P.",
""
],
[
"Mayr",
"P.",
""
]
] | We use open-closed string duality between F-theory on K3xK3 and type II strings on CY manifolds without branes to study non-perturbative superpotentials in generalized flux compactifications. On the F-theory side we obtain the full flux potential including D3-instanton contributions and show that it leads to an explicit and simple realization of the three ingredients of the KKLT model for stringy dS vacua. The D3-instanton contribution is highly non-trivial, can be systematically computed including the determinant factors and demonstrates that a particular flux lifts very effectively zero modes on the instanton. On the closed string side, we propose a generalization of the Gukov-Vafa-Witten superpotential for type II strings on generalized CY manifolds, depending on all moduli multiplets. |
hep-th/0301124 | Marcelo Gomes | L. C. T. de Brito, M. Gomes, Silvana Perez and A. J. da Silva | Radiative corrections to the Chern-Simons term at finite temperature in
the noncommutative Chern-Simons-Higgs model | Revised version with a new section on the gauge field three point
vertex function added | J.Phys. A37 (2004) 9989-10005 | 10.1088/0305-4470/37/42/011 | null | hep-th | null | By analyzing the odd parity part of the gauge field two and three point
vertex functions, the one-loop radiative correction to the Chern-Simons
coefficient is computed in noncommutative Chern-Simons-Higgs model at zero and
at high temperature. At high temperature, we show that the static limit of this
correction is proportional to $T$ but the first noncommutative correction
increases as $T\log T$. Our results are analytic functions of the
noncommutative parameter.
| [
{
"created": "Fri, 17 Jan 2003 19:22:10 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2003 16:18:27 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Feb 2003 18:17:09 GMT",
"version": "v3"
},
{
"created": "Fri, 12 Mar 2004 20:25:58 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"de Brito",
"L. C. T.",
""
],
[
"Gomes",
"M.",
""
],
[
"Perez",
"Silvana",
""
],
[
"da Silva",
"A. J.",
""
]
] | By analyzing the odd parity part of the gauge field two and three point vertex functions, the one-loop radiative correction to the Chern-Simons coefficient is computed in noncommutative Chern-Simons-Higgs model at zero and at high temperature. At high temperature, we show that the static limit of this correction is proportional to $T$ but the first noncommutative correction increases as $T\log T$. Our results are analytic functions of the noncommutative parameter. |
hep-th/0104082 | Alfonso V. Ramallo | J. M. Camino, A. Paredes, A.V. Ramallo | Stable Wrapped Branes | 34 pages, 3 figures, LaTex; minor changes and reference added | JHEP 0105:011,2001 | 10.1088/1126-6708/2001/05/011 | US-FT-3/01 | hep-th | null | We study some wrapped configurations of branes in the near-horizon geometry
of a stack of other branes. The common feature of all the cases analyzed is a
quantization rule and the appearance of a finite number of static
configurations in which the branes are partially wrapped on spheres. The energy
of these configurations can be given in closed form and the analysis of their
small oscillations shows that they are stable. The cases studied include
D(8-p)-branes in the type II supergravity background of Dp-branes (for p less
or equal than 5), M5-branes in the M5-brane geometry in M-theory and D3-branes
in a (p,q) fivebrane background in the type IIB theory. The brane
configurations found admit the interpretation of bound states of strings (or
M2-branes in M-theory) which extend along the unwrapped directions. We check
this fact directly in a particular case by using the Myers polarization
mechanism.
| [
{
"created": "Mon, 9 Apr 2001 17:07:00 GMT",
"version": "v1"
},
{
"created": "Wed, 2 May 2001 18:01:31 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Camino",
"J. M.",
""
],
[
"Paredes",
"A.",
""
],
[
"Ramallo",
"A. V.",
""
]
] | We study some wrapped configurations of branes in the near-horizon geometry of a stack of other branes. The common feature of all the cases analyzed is a quantization rule and the appearance of a finite number of static configurations in which the branes are partially wrapped on spheres. The energy of these configurations can be given in closed form and the analysis of their small oscillations shows that they are stable. The cases studied include D(8-p)-branes in the type II supergravity background of Dp-branes (for p less or equal than 5), M5-branes in the M5-brane geometry in M-theory and D3-branes in a (p,q) fivebrane background in the type IIB theory. The brane configurations found admit the interpretation of bound states of strings (or M2-branes in M-theory) which extend along the unwrapped directions. We check this fact directly in a particular case by using the Myers polarization mechanism. |
hep-th/0605143 | K. Splittorff | K. Splittorff, J.J.M. Verbaarschot | QCD with Bosonic Quarks at Nonzero Chemical Potential | 16 pages, 3 figures, 1 table. Version to appear in Nucl Phys B | Nucl.Phys.B757:259-279,2006 | 10.1016/j.nuclphysb.2006.09.011 | null | hep-th hep-lat math-ph math.MP | null | We formulate the low energy limit of QCD like partition functions with
bosonic quarks at nonzero chemical potential. The partition functions are
evaluated in the parameter domain that is dominated by the zero momentum modes
of the Goldstone fields. We find that partition functions with bosonic quarks
differ structurally from partition functions with fermionic quarks. Contrary to
the theory with one fermionic flavor, where the partition function in this
domain does not depend on the chemical potential, a phase transition takes
place in the theory with one bosonic flavor when the chemical potential is
equal to $m_\pi/2$. For a pair of conjugate bosonic flavors the partition
function shows no phase transition, whereas the fermionic counterpart has a
phase transition at $\mu = m_\pi/2$. The difference between the bosonic
theories and the fermionic ones originates from the convergence requirements of
bosonic integrals resulting in a noncompact Goldstone manifold and a covariant
derivative with the commutator replaced by an anti-commutator.
| [
{
"created": "Mon, 15 May 2006 13:03:27 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Oct 2006 12:42:48 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Splittorff",
"K.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] | We formulate the low energy limit of QCD like partition functions with bosonic quarks at nonzero chemical potential. The partition functions are evaluated in the parameter domain that is dominated by the zero momentum modes of the Goldstone fields. We find that partition functions with bosonic quarks differ structurally from partition functions with fermionic quarks. Contrary to the theory with one fermionic flavor, where the partition function in this domain does not depend on the chemical potential, a phase transition takes place in the theory with one bosonic flavor when the chemical potential is equal to $m_\pi/2$. For a pair of conjugate bosonic flavors the partition function shows no phase transition, whereas the fermionic counterpart has a phase transition at $\mu = m_\pi/2$. The difference between the bosonic theories and the fermionic ones originates from the convergence requirements of bosonic integrals resulting in a noncompact Goldstone manifold and a covariant derivative with the commutator replaced by an anti-commutator. |
0906.0317 | Niko Jokela | Niko Jokela, Matthew Lippert | Inhomogeneous tachyon dynamics and the zipper | 23 pages, 12 figures. v2: added references; v3: more references,
published version | JHEP 0908:024,2009 | 10.1088/1126-6708/2009/08/024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the process of inhomogeneous tachyon condensation in an intersecting
D1- and anti-D1-brane system using an effective tachyon DBI action. By
switching to the Hamiltonian formalism, we numerically solve for the dynamical
evolution of the system at a small intersection angle. We find that the decay
proceeds indefinitely and resembles the action of two zippers moving away from
the intersection point at the speed of light, zipping the branes together and
leaving inhomogeneous tachyon matter behind. We also discuss the range of
validity of our analysis and discuss the relation of the D1-anti-D1 description
of the system to one in terms of an intersecting D1-D1-brane pair.
| [
{
"created": "Mon, 1 Jun 2009 16:53:47 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Jun 2009 13:53:18 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Aug 2009 10:52:12 GMT",
"version": "v3"
}
] | 2009-08-14 | [
[
"Jokela",
"Niko",
""
],
[
"Lippert",
"Matthew",
""
]
] | We study the process of inhomogeneous tachyon condensation in an intersecting D1- and anti-D1-brane system using an effective tachyon DBI action. By switching to the Hamiltonian formalism, we numerically solve for the dynamical evolution of the system at a small intersection angle. We find that the decay proceeds indefinitely and resembles the action of two zippers moving away from the intersection point at the speed of light, zipping the branes together and leaving inhomogeneous tachyon matter behind. We also discuss the range of validity of our analysis and discuss the relation of the D1-anti-D1 description of the system to one in terms of an intersecting D1-D1-brane pair. |
hep-th/9912272 | Hyun Seok Yang | Eunsang Kim, Hoil Kim, Nakwoo Kim, Bum-Hoon Lee, Chang-Yeong Lee, and
Hyun Seok Yang | Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States | 19 pages, Latex. v2: Title is changed. Minor corrections. A reference
added | Phys.Rev.D62:046001,2000 | 10.1103/PhysRevD.62.046001 | KIAS-P99112, SOGANG-HEP 265/99, UTTG-10-99 | hep-th | null | We construct twisted quantum bundles and adjoint sections on noncommutative
$T^4$, and investigate relevant D-brane bound states with non-Abelian
backgrounds. We also show that the noncommutative $T^4$ with non-Abelian
backgrounds exhibits SO$(4,4|Z)$ duality and via this duality we get a Morita
equivalent $T^4$ on which only D0-branes exist. For a reducible non-Abelian
background, the moduli space of D-brane bound states in Type II string theory
takes the form $\prod_a (T^4)^{q_a}/S_{q_a}$.
| [
{
"created": "Thu, 30 Dec 1999 06:27:21 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 2000 07:47:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kim",
"Eunsang",
""
],
[
"Kim",
"Hoil",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Lee",
"Bum-Hoon",
""
],
[
"Lee",
"Chang-Yeong",
""
],
[
"Yang",
"Hyun Seok",
""
]
] | We construct twisted quantum bundles and adjoint sections on noncommutative $T^4$, and investigate relevant D-brane bound states with non-Abelian backgrounds. We also show that the noncommutative $T^4$ with non-Abelian backgrounds exhibits SO$(4,4|Z)$ duality and via this duality we get a Morita equivalent $T^4$ on which only D0-branes exist. For a reducible non-Abelian background, the moduli space of D-brane bound states in Type II string theory takes the form $\prod_a (T^4)^{q_a}/S_{q_a}$. |
1508.01955 | Phuc Nguyen | Phuc H. Nguyen | An equal area law for holographic entanglement entropy of the AdS-RN
black hole | 17 pages, multiple figures. v4: matches published version | JHEP 12 (2015) 139 | 10.1007/JHEP12(2015)139 | UTTG-18-15, TCC-007-15 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Anti-de Sitter-Reissner-Nordstrom (AdS-RN) black hole in the canonical
ensemble undergoes a phase transition similar to the liquid-gas phase
transition, i.e. the isocharges on the entropy-temperature plane develop an
unstable branch when the charge is smaller than a critical value. It was later
discovered that the isocharges on the entanglement entropy-temperature plane
also exhibit the same van der Waals-like structure, for spherical entangling
regions. In this paper, we present numerical results which sharpen this
similarity between entanglement entropy and black hole entropy, by showing that
both of these entropies obey Maxwell's equal area law to an accuracy of around
1 %. Moreover, we checked this for a wide range of size of the spherical
entangling region, and the equal area law holds independently of the size. We
also checked the equal area law for AdS-RN in 4 and 5 dimensions, so the
conclusion is not specific to a particular dimension. Finally, we repeated the
same procedure for a similar, van der Waals-like transition of the dyonic black
hole in AdS in a mixed ensemble (fixed electric potential and fixed magnetic
charge), and showed that the equal area law is not valid in this case. Thus the
equal area law for entanglement entropy seems to be specific to the AdS-RN
background.
| [
{
"created": "Sat, 8 Aug 2015 21:02:35 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Aug 2015 16:14:20 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Oct 2015 16:42:32 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Dec 2015 01:20:39 GMT",
"version": "v4"
}
] | 2016-01-27 | [
[
"Nguyen",
"Phuc H.",
""
]
] | The Anti-de Sitter-Reissner-Nordstrom (AdS-RN) black hole in the canonical ensemble undergoes a phase transition similar to the liquid-gas phase transition, i.e. the isocharges on the entropy-temperature plane develop an unstable branch when the charge is smaller than a critical value. It was later discovered that the isocharges on the entanglement entropy-temperature plane also exhibit the same van der Waals-like structure, for spherical entangling regions. In this paper, we present numerical results which sharpen this similarity between entanglement entropy and black hole entropy, by showing that both of these entropies obey Maxwell's equal area law to an accuracy of around 1 %. Moreover, we checked this for a wide range of size of the spherical entangling region, and the equal area law holds independently of the size. We also checked the equal area law for AdS-RN in 4 and 5 dimensions, so the conclusion is not specific to a particular dimension. Finally, we repeated the same procedure for a similar, van der Waals-like transition of the dyonic black hole in AdS in a mixed ensemble (fixed electric potential and fixed magnetic charge), and showed that the equal area law is not valid in this case. Thus the equal area law for entanglement entropy seems to be specific to the AdS-RN background. |
hep-th/0401212 | Xavier Calmet | Xavier Calmet | Yang-Mills Theories on Noncommutative Space-Time | To appear in the Proceedings of SUSY 2003, held at the University of
Arizona, Tucson, AZ, 5-10 June 2003, 4 pages | null | null | CALT-68-2476 | hep-th | null | We describe some recent progress in our understanding of Yang-Mills theories
formulated on noncommutative spaces and in particular how to formulate the
standard model on such spaces.
| [
{
"created": "Tue, 27 Jan 2004 19:56:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Calmet",
"Xavier",
""
]
] | We describe some recent progress in our understanding of Yang-Mills theories formulated on noncommutative spaces and in particular how to formulate the standard model on such spaces. |
hep-th/0507120 | Michael Thies | Oliver Schnetz, Michael Thies, Konrad Urlichs | The phase diagram of the massive Gross-Neveu model, revisited | revtex, 4 pages, 3 figures; v2: minor typos corrected; v3: minor
corrections concerning figures 2 and 3 | null | null | FAU-TP3-05/5 | hep-th cond-mat.str-el hep-lat hep-ph | null | The massive Gross-Neveu model is solved in the large N limit at finite
temperature and chemical potential. The phase diagram features a kink-antikink
crystal phase which was missed in previous works. Translated into the framework
of condensed matter physics our results generalize the bipolaron lattice in
non-degenerate conducting polymers to finite temperature.
| [
{
"created": "Wed, 13 Jul 2005 10:38:44 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jul 2005 10:39:13 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Nov 2005 12:57:43 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Schnetz",
"Oliver",
""
],
[
"Thies",
"Michael",
""
],
[
"Urlichs",
"Konrad",
""
]
] | The massive Gross-Neveu model is solved in the large N limit at finite temperature and chemical potential. The phase diagram features a kink-antikink crystal phase which was missed in previous works. Translated into the framework of condensed matter physics our results generalize the bipolaron lattice in non-degenerate conducting polymers to finite temperature. |
2111.06298 | Henry Lin | Ahmed Almheiri and Henry W. Lin | The Entanglement Wedge of Unknown Couplings | 59 pages, 16+ figs, no resolutions of any paradoxes, 1 day late, v2:
slightly improved numerics in Section 3.3, bugs fixed in Section 3.4, v3:
updated to match JHEP version | null | 10.1007/JHEP08(2022)062 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The black hole interior is a mysterious region of spacetime where
non-perturbative effects are sometimes important. These non-perturbative
effects are believed to be highly theory-dependent. We sharpen these statements
by considering a setup where the state of the black hole is in a superposition
of states corresponding to boundary theories with different couplings,
entangled with a reference which keeps track of those couplings. The
entanglement wedge of the reference can then be interpreted as the bulk region
most sensitive to the values of the couplings. In simple bulk models, e.g., JT
gravity + a matter BCFT, the QES formula implies that the reference contains
the black hole interior at late times. We also analyze the Renyi-2 entropy of
the reference, which can be viewed as a diagnostic of chaos via the Loschmidt
echo. We find explicitly the replica wormhole that diagnoses the island and
restores unitarity. Numerical and analytical evidence of these statements in
the SYK model is presented. Similar considerations are expected to apply in
higher dimensional AdS/CFT, for marginal and even irrelevant couplings.
| [
{
"created": "Thu, 11 Nov 2021 16:20:10 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Mar 2022 12:58:17 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jul 2022 04:06:25 GMT",
"version": "v3"
}
] | 2022-08-24 | [
[
"Almheiri",
"Ahmed",
""
],
[
"Lin",
"Henry W.",
""
]
] | The black hole interior is a mysterious region of spacetime where non-perturbative effects are sometimes important. These non-perturbative effects are believed to be highly theory-dependent. We sharpen these statements by considering a setup where the state of the black hole is in a superposition of states corresponding to boundary theories with different couplings, entangled with a reference which keeps track of those couplings. The entanglement wedge of the reference can then be interpreted as the bulk region most sensitive to the values of the couplings. In simple bulk models, e.g., JT gravity + a matter BCFT, the QES formula implies that the reference contains the black hole interior at late times. We also analyze the Renyi-2 entropy of the reference, which can be viewed as a diagnostic of chaos via the Loschmidt echo. We find explicitly the replica wormhole that diagnoses the island and restores unitarity. Numerical and analytical evidence of these statements in the SYK model is presented. Similar considerations are expected to apply in higher dimensional AdS/CFT, for marginal and even irrelevant couplings. |
hep-th/0403113 | Yurij Yaremko | Yurij Yaremko | Interference of outgoing electromagnetic waves generated by two
point-like sources | 38 pages, 13 figures, LaTeX2e | Int.J.Mod.Phys. A20 (2005) 129-160 | 10.1142/S0217751X05019804 | null | hep-th | null | An energy-momentum carried by electromagnetic field produced by two
point-like charged particles is calculated. Integration region considered in
the evaluation of the bound and emitted quantities produced by all points of
world lines up to the end points at which particles' trajectories puncture an
observation hyperplane $y^0=t$. Radiative part of the energy-momentum contains,
apart from usual integrals of Larmor terms, also the sum of work done by
Lorentz forces of point-like charges acting on one another. Therefore, the
combination of wave motions (retarded Li\'enard-Wiechert solutions) leads to
the interaction between the sources.
| [
{
"created": "Wed, 10 Mar 2004 13:50:31 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Yaremko",
"Yurij",
""
]
] | An energy-momentum carried by electromagnetic field produced by two point-like charged particles is calculated. Integration region considered in the evaluation of the bound and emitted quantities produced by all points of world lines up to the end points at which particles' trajectories puncture an observation hyperplane $y^0=t$. Radiative part of the energy-momentum contains, apart from usual integrals of Larmor terms, also the sum of work done by Lorentz forces of point-like charges acting on one another. Therefore, the combination of wave motions (retarded Li\'enard-Wiechert solutions) leads to the interaction between the sources. |
hep-th/9710100 | Petr Lavrov | P.M. Lavrov and P.Yu. Moshin | Quantization of Two-Dimensional Gravity with Dynamical Torsion | 12 pages, LaTeX | Class.Quant.Grav.16:2247-2258,1999 | 10.1088/0264-9381/16/7/307 | null | hep-th | null | We consider two-dimensional gravity with dynamical torsion in the Batalin -
Vilkovisky and Batalin - Lavrov - Tyutin formalisms of gauge theories
quantization as well as in the background field method.
| [
{
"created": "Mon, 13 Oct 1997 07:04:11 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Lavrov",
"P. M.",
""
],
[
"Moshin",
"P. Yu.",
""
]
] | We consider two-dimensional gravity with dynamical torsion in the Batalin - Vilkovisky and Batalin - Lavrov - Tyutin formalisms of gauge theories quantization as well as in the background field method. |
hep-th/0205203 | Bertha M. Cuadros-Melgar | Elcio Abdalla, Adenauer Casali, Bertha Cuadros-Melgar | Shortcuts for Graviton Propagation in a Six Dimensional Brane World
Model | 29 pages, 8 figures | Nucl.Phys. B644 (2002) 201-222 | 10.1016/S0550-3213(02)00797-6 | null | hep-th gr-qc | null | We consider a six dimensional brane world model with asymmetric warp factors
for time and both extra spatial coordinates, $y$ and $z$. We derive the set of
differential equations governing the shortest graviton path and numerically
solve it for AdS-Schwarzschild and AdS-Reissner-Nordstr\"om bulks. In both
cases we derive a set of conditions for the existence of shortcuts in bulks
with shielded singularities and show some examples of shortcuts obtained under
these conditions. Consequences are discussed.
| [
{
"created": "Mon, 20 May 2002 18:26:18 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Abdalla",
"Elcio",
""
],
[
"Casali",
"Adenauer",
""
],
[
"Cuadros-Melgar",
"Bertha",
""
]
] | We consider a six dimensional brane world model with asymmetric warp factors for time and both extra spatial coordinates, $y$ and $z$. We derive the set of differential equations governing the shortest graviton path and numerically solve it for AdS-Schwarzschild and AdS-Reissner-Nordstr\"om bulks. In both cases we derive a set of conditions for the existence of shortcuts in bulks with shielded singularities and show some examples of shortcuts obtained under these conditions. Consequences are discussed. |
1402.2513 | Martin Cederwall | Martin Cederwall | The geometry behind double geometry | 8 pp., plain tex. v2: Slightly expanded motivation and discussion
parts | null | 10.1007/JHEP09(2014)070 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Generalised diffeomorphisms in double field theory rely on an O(d,d)
structure defined on tangent space. We show that any (pseudo-)Riemannian metric
on the doubled space defines such a structure, in the sense that the
generalised diffeomorphisms defined using such a metric form an algebra,
provided a covariant section condition is fulfilled. Consistent solutions of
the section condition gives further restrictions. The case previously
considered corresponds to a flat metric. The construction makes it possible to
apply double geometry to a larger class of manifolds. Examples of curved
defining metrics are given. We also comment on the role of the defining
geometry for the symmetries of double field theory, and on the continuation of
the present construction to the U-duality setting.
| [
{
"created": "Tue, 11 Feb 2014 15:01:19 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Aug 2014 10:09:18 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Cederwall",
"Martin",
""
]
] | Generalised diffeomorphisms in double field theory rely on an O(d,d) structure defined on tangent space. We show that any (pseudo-)Riemannian metric on the doubled space defines such a structure, in the sense that the generalised diffeomorphisms defined using such a metric form an algebra, provided a covariant section condition is fulfilled. Consistent solutions of the section condition gives further restrictions. The case previously considered corresponds to a flat metric. The construction makes it possible to apply double geometry to a larger class of manifolds. Examples of curved defining metrics are given. We also comment on the role of the defining geometry for the symmetries of double field theory, and on the continuation of the present construction to the U-duality setting. |
hep-th/0402119 | Jorgen Rasmussen | Adil Belhaj and Jorgen Rasmussen | On toric geometry, Spin(7) manifolds, and type II superstring
compactifications | 14 pages, v2: version to be published | J.Math.Phys. 46 (2005) 043511 | 10.1063/1.1873038 | null | hep-th | null | We consider type II superstring compactifications on the singular Spin(7)
manifold constructed as a cone on SU(3)/U(1). Based on a toric realization of
the projective space CP^2, we discuss how the manifold can be viewed as three
intersecting Calabi-Yau conifolds. The geometric transition of the manifold is
then addressed in this setting. The construction is readily extended to higher
dimensions where we speculate on possible higher-dimensional geometric
transitions. Armed with the toric description of the Spin(7) manifold, we
discuss a brane/flux duality in both type II superstring theories compactified
on this manifold.
| [
{
"created": "Mon, 16 Feb 2004 17:28:24 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2005 13:23:47 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Belhaj",
"Adil",
""
],
[
"Rasmussen",
"Jorgen",
""
]
] | We consider type II superstring compactifications on the singular Spin(7) manifold constructed as a cone on SU(3)/U(1). Based on a toric realization of the projective space CP^2, we discuss how the manifold can be viewed as three intersecting Calabi-Yau conifolds. The geometric transition of the manifold is then addressed in this setting. The construction is readily extended to higher dimensions where we speculate on possible higher-dimensional geometric transitions. Armed with the toric description of the Spin(7) manifold, we discuss a brane/flux duality in both type II superstring theories compactified on this manifold. |
1303.4415 | Wieland Staessens | Gabriele Honecker, Wieland Staessens | To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting
D-Brane Models | v2: sections 2.1.1+2.1.2, footnotes 10+11+12, refs added, minor
additions+corrections to text, conclusions unchanged; v1: 1+47 pages | JHEP10 (2013) 146 | 10.1007/JHEP10(2013)146 | MITP/13-019 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Discrete gauge symmetries in global intersecting D-brane models constrain the
exact form of the perturbative as well as non-perturbative superpotential. We
derive the complete set of conditions on the existence of discrete Zn gauge
symmetries on toroidal orbifolds, T6/Z(N) and T6/Z(2)xZ(2M}, with fractional or
rigid D6-branes on tilted tori, for which global models of particle physics are
known. Several examples of global left-right symmetric and Pati-Salam models
are presented. Some discrete `stringy' Zn symmetries are trivial from the field
theory point of view, while others have not been identified before.
| [
{
"created": "Mon, 18 Mar 2013 20:36:11 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Sep 2013 19:06:37 GMT",
"version": "v2"
}
] | 2013-11-06 | [
[
"Honecker",
"Gabriele",
""
],
[
"Staessens",
"Wieland",
""
]
] | Discrete gauge symmetries in global intersecting D-brane models constrain the exact form of the perturbative as well as non-perturbative superpotential. We derive the complete set of conditions on the existence of discrete Zn gauge symmetries on toroidal orbifolds, T6/Z(N) and T6/Z(2)xZ(2M}, with fractional or rigid D6-branes on tilted tori, for which global models of particle physics are known. Several examples of global left-right symmetric and Pati-Salam models are presented. Some discrete `stringy' Zn symmetries are trivial from the field theory point of view, while others have not been identified before. |
1812.09108 | Ignacio Salazar | Raul Arias and Ignacio Salazar Landea | Intermediate scalings for Solv, Nil and $SL_2({\cal R})$ black branes | 19 pages, 12 figures, v2: minor changes | Phys. Rev. D 99, 106015 (2019) | 10.1103/PhysRevD.99.106015 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we will study black brane solutions that are not translationally
invariant in the spatial directions along which it extends. Instead, we require
homogeneity, which still allows points along the spatial directions to be
related to each other by symmetries. We find Einstein-Maxwell black hole
solutions whose near horizon geometry correspond to Solv (Bianchi $V1_{-1}$),
Nil (Bianchi $II$) or $SL_2({\cal R})$ (Bianchi $VIII$). Interestingly we
observe that at intermediate temperatures our solutions have an scaling regime
where different spacetime directions scale differently. We also compute the DC
conductivities for these charged solutions and study how they scale in this
intermediate regime.
| [
{
"created": "Fri, 21 Dec 2018 13:32:31 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jun 2019 17:59:37 GMT",
"version": "v2"
}
] | 2019-06-26 | [
[
"Arias",
"Raul",
""
],
[
"Landea",
"Ignacio Salazar",
""
]
] | In this work we will study black brane solutions that are not translationally invariant in the spatial directions along which it extends. Instead, we require homogeneity, which still allows points along the spatial directions to be related to each other by symmetries. We find Einstein-Maxwell black hole solutions whose near horizon geometry correspond to Solv (Bianchi $V1_{-1}$), Nil (Bianchi $II$) or $SL_2({\cal R})$ (Bianchi $VIII$). Interestingly we observe that at intermediate temperatures our solutions have an scaling regime where different spacetime directions scale differently. We also compute the DC conductivities for these charged solutions and study how they scale in this intermediate regime. |
hep-th/0503105 | Stefan Hollands | S. Hollands, A. Ishibashi, and D. Marolf | Counter-term charges generate bulk symmetries | 13 pages, Latex, no figures, v3: errors fixed, boundary terms
carefully controlled, awkward assumption removed, references updated | Phys.Rev.D72:104025,2005 | 10.1103/PhysRevD.72.104025 | null | hep-th gr-qc | null | We further explore the counter-term subtraction definition of charges (e.g.,
energy) for classical gravitating theories in spacetimes of relevance to
gauge/gravity dualities; i.e., in asymptotically anti-de Sitter spaces and
their kin. In particular, we show in general that charges defined via the
counter-term subtraction method generate the desired asymptotic symmetries. As
a result, they can differ from any other such charges, such as those defined by
bulk spacetime-covariant techniques, only by a function of auxiliary
non-dynamical structures such as a choice of conformal frame at infinity (i.e.,
a function of the boundary fields alone). Our argument is based on the Peierls
bracket, and in the AdS context allows us to demonstrate the above result even
for asymptotic symmetries which generate only conformal symmetries of the
boundary (in the chosen conformal frame). We also generalize the counter-term
subtraction construction of charges to the case in which additional
non-vanishing boundary fields are present.
| [
{
"created": "Fri, 11 Mar 2005 19:28:19 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Mar 2005 19:33:14 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Aug 2005 18:43:50 GMT",
"version": "v3"
}
] | 2011-07-19 | [
[
"Hollands",
"S.",
""
],
[
"Ishibashi",
"A.",
""
],
[
"Marolf",
"D.",
""
]
] | We further explore the counter-term subtraction definition of charges (e.g., energy) for classical gravitating theories in spacetimes of relevance to gauge/gravity dualities; i.e., in asymptotically anti-de Sitter spaces and their kin. In particular, we show in general that charges defined via the counter-term subtraction method generate the desired asymptotic symmetries. As a result, they can differ from any other such charges, such as those defined by bulk spacetime-covariant techniques, only by a function of auxiliary non-dynamical structures such as a choice of conformal frame at infinity (i.e., a function of the boundary fields alone). Our argument is based on the Peierls bracket, and in the AdS context allows us to demonstrate the above result even for asymptotic symmetries which generate only conformal symmetries of the boundary (in the chosen conformal frame). We also generalize the counter-term subtraction construction of charges to the case in which additional non-vanishing boundary fields are present. |
hep-th/9702118 | Manuel Torres Labansat | Armando Antillon, Joaquin Escalona and Manuel Torres | Vortices and domain walls in a Chern-Simons theory with magnetic moment
interaction | To be published in Phys RevD 23 pages, RevTex, 5 figures | Phys.Rev. D55 (1997) 6327-6338 | 10.1103/PhysRevD.55.6327 | null | hep-th | null | We study the structure and properties of vortices in a recently proposed
Abelian Maxwell-Chern-Simons model in $2 +1 $ dimensions. The model which is
described by gauge field interacting with a complex scalar field, includes two
parity and time violating terms: the Chern-Simons and the anomalous magnetic
terms. Self-dual relativistic vortices are discussed in detail. We also find
one dimensional soliton solutions of the domain wall type. The vortices are
correctly described by the domain wall solutions in the large flux limit.
| [
{
"created": "Sat, 15 Feb 1997 01:11:36 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Antillon",
"Armando",
""
],
[
"Escalona",
"Joaquin",
""
],
[
"Torres",
"Manuel",
""
]
] | We study the structure and properties of vortices in a recently proposed Abelian Maxwell-Chern-Simons model in $2 +1 $ dimensions. The model which is described by gauge field interacting with a complex scalar field, includes two parity and time violating terms: the Chern-Simons and the anomalous magnetic terms. Self-dual relativistic vortices are discussed in detail. We also find one dimensional soliton solutions of the domain wall type. The vortices are correctly described by the domain wall solutions in the large flux limit. |
1803.01874 | Guillem P\'erez-Nadal | David Blanco, Mauricio Leston and Guillem P\'erez-Nadal | Gravity from entanglement for boundary subregions | 18 pages, 5 figures. Matches journal version | Blanco, D., Leston, M. & P\'erez-Nadal, G. J. High Energ. Phys.
(2018) 2018: 130 | 10.1007/JHEP06(2018)130 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore several aspects of the relation between gravity and entanglement
in the context of AdS/CFT, in the simple setting of 3 bulk dimensions.
Specifically, we consider small perturbations of the AdS metric and the CFT
vacuum state and study what can be learnt about the metric perturbation from
the Ryu-Takayanagi (RT) formula alone. It is well-known that, if the RT formula
holds for all boundary spacelike segments, then the metric perturbation
satisfies the linearized Einstein equations throughout the bulk. We generalize
this result by showing that, if the RT formula holds for all spacelike segments
contained in a certain boundary region, then the metric perturbation satisfies
the linearized Einstein equations in a corresponding bulk region (in fact, it
is completely determined in that region). We also argue that the same is true
for small perturbations of the planar BTZ black hole and the CFT thermal state.
We discuss the relation between our results and the ideas of
subregion-subregion duality, and we point out that our argument also serves as
a holographic proof of the linearized RT formula for boundary segments.
| [
{
"created": "Mon, 5 Mar 2018 19:01:09 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2018 19:12:55 GMT",
"version": "v2"
}
] | 2018-07-09 | [
[
"Blanco",
"David",
""
],
[
"Leston",
"Mauricio",
""
],
[
"Pérez-Nadal",
"Guillem",
""
]
] | We explore several aspects of the relation between gravity and entanglement in the context of AdS/CFT, in the simple setting of 3 bulk dimensions. Specifically, we consider small perturbations of the AdS metric and the CFT vacuum state and study what can be learnt about the metric perturbation from the Ryu-Takayanagi (RT) formula alone. It is well-known that, if the RT formula holds for all boundary spacelike segments, then the metric perturbation satisfies the linearized Einstein equations throughout the bulk. We generalize this result by showing that, if the RT formula holds for all spacelike segments contained in a certain boundary region, then the metric perturbation satisfies the linearized Einstein equations in a corresponding bulk region (in fact, it is completely determined in that region). We also argue that the same is true for small perturbations of the planar BTZ black hole and the CFT thermal state. We discuss the relation between our results and the ideas of subregion-subregion duality, and we point out that our argument also serves as a holographic proof of the linearized RT formula for boundary segments. |
hep-th/0506117 | Daniel Blaschke | M. Attems, D.N. Blaschke, M. Ortner, M. Schweda, S. Stricker, M.
Weiretmayr | Gauge Independence of IR singularities in Non-Commutative QFT - and
Interpolating Gauges | 11 pages, 2 figures, v1 minor corrections | JHEP 0507 (2005) 071 | 10.1088/1126-6708/2005/07/071 | null | hep-th | null | IR divergences of a non-commutative U(1) Maxwell theory are discussed at the
one-loop level using an interpolating gauge to show that quadratic IR
divergences are independent not only from a covariant gauge fixing but also
independent from an axial gauge fixing.
| [
{
"created": "Tue, 14 Jun 2005 16:05:40 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2005 11:04:17 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Attems",
"M.",
""
],
[
"Blaschke",
"D. N.",
""
],
[
"Ortner",
"M.",
""
],
[
"Schweda",
"M.",
""
],
[
"Stricker",
"S.",
""
],
[
"Weiretmayr",
"M.",
""
]
] | IR divergences of a non-commutative U(1) Maxwell theory are discussed at the one-loop level using an interpolating gauge to show that quadratic IR divergences are independent not only from a covariant gauge fixing but also independent from an axial gauge fixing. |
2005.11301 | Bianca Letizia Cerchiai | Pedro D. Alvarez, Sergio L. Cacciatori, Fabrizio Canfora, Bianca L.
Cerchiai | Analytic SU(N) Skyrmions at finite Baryon density | 36 pages, REVTeX, accepted for publication in Phys. Rev. D, added
some references | Phys. Rev. D 101, 125011 (2020) | 10.1103/PhysRevD.101.125011 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct analytic (3+1)-dimensional Skyrmions living at finite Baryon
density in the SU(N) Skyrme model that are not trivial embeddings of SU(2) into
SU(N). We used Euler angles decomposition for arbitrary N and the generalized
hedgehog Ansatz at finite Baryon density. The Skyrmions of high topological
charge that we find represent smooth Baryonic layers whose properties can be
computed explicitly. In particular, we determine the energy to Baryon charge
ratio for any N showing the smoothness of the large N limit. The closeness to
the BPS bound of these configurations can also be analyzed. The energy density
profiles of these finite density Skyrmions have \textit{lasagna-like} shape in
agreement with recent experimental findings. The shear modulus can be precisely
estimated as well and our analytical result is close to recent numerical
studies in the literature.
| [
{
"created": "Fri, 22 May 2020 17:48:20 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2020 06:31:35 GMT",
"version": "v2"
}
] | 2020-07-01 | [
[
"Alvarez",
"Pedro D.",
""
],
[
"Cacciatori",
"Sergio L.",
""
],
[
"Canfora",
"Fabrizio",
""
],
[
"Cerchiai",
"Bianca L.",
""
]
] | We construct analytic (3+1)-dimensional Skyrmions living at finite Baryon density in the SU(N) Skyrme model that are not trivial embeddings of SU(2) into SU(N). We used Euler angles decomposition for arbitrary N and the generalized hedgehog Ansatz at finite Baryon density. The Skyrmions of high topological charge that we find represent smooth Baryonic layers whose properties can be computed explicitly. In particular, we determine the energy to Baryon charge ratio for any N showing the smoothness of the large N limit. The closeness to the BPS bound of these configurations can also be analyzed. The energy density profiles of these finite density Skyrmions have \textit{lasagna-like} shape in agreement with recent experimental findings. The shear modulus can be precisely estimated as well and our analytical result is close to recent numerical studies in the literature. |
1504.02979 | Yuya Tanizaki | Yuya Tanizaki, Hiromichi Nishimura, Kouji Kashiwa | Evading the sign problem in the mean-field approximation through
Lefschetz-thimble path integral | 6 pages, 1 figure, typos corrected | Phys. Rev. D 91, 101701 (2015) | 10.1103/PhysRevD.91.101701 | RIKEN-QHP-183, RIKEN-STAMP-2, BI-TP 2015/07, YITP-15-26 | hep-th cond-mat.str-el hep-lat hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The fermion sign problem appearing in the mean-field approximation is
considered, and the systematic computational scheme of the free energy is
devised by using the Lefschetz-thimble method. We show that the
Lefschetz-thimble method respects the reflection symmetry, which makes physical
quantities manifestly real at any order of approximations using complex saddle
points. The formula is demonstrated through the Airy integral as an example,
and its application to the Polyakov-loop effective model of dense QCD is
discussed in detail.
| [
{
"created": "Sun, 12 Apr 2015 15:15:35 GMT",
"version": "v1"
},
{
"created": "Wed, 27 May 2015 23:09:07 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Tanizaki",
"Yuya",
""
],
[
"Nishimura",
"Hiromichi",
""
],
[
"Kashiwa",
"Kouji",
""
]
] | The fermion sign problem appearing in the mean-field approximation is considered, and the systematic computational scheme of the free energy is devised by using the Lefschetz-thimble method. We show that the Lefschetz-thimble method respects the reflection symmetry, which makes physical quantities manifestly real at any order of approximations using complex saddle points. The formula is demonstrated through the Airy integral as an example, and its application to the Polyakov-loop effective model of dense QCD is discussed in detail. |
1502.05932 | Ariel Edery | Ariel Edery and Yu Nakayama | Generating Einstein gravity, cosmological constant and Higgs mass from
restricted Weyl invariance | 7 pages, no figures | Mod. Phys. Lett. A30 (2015) 1550152 | 10.1142/S0217732315501527 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, it has been pointed out that dimensionless actions in four
dimensional curved spacetime possess a symmetry which goes beyond scale
invariance but is smaller than full Weyl invariance. This symmetry was dubbed
{\it restricted Weyl invariance}. We show that starting with a restricted Weyl
invariant action that includes a Higgs sector with no explicit mass, one can
generate the Einstein-Hilbert action with cosmological constant and a Higgs
mass. The model also contains an extra massless scalar field which couples to
the Higgs field (and gravity). If the coupling of this extra scalar field to
the Higgs field is negligibly small, this fixes the coefficient of the
nonminimal coupling $R \Phi^2$ between the Higgs field and gravity. Besides the
Higgs sector, all the other fields of the standard model can be incorporated
into the original restricted Weyl invariant action.
| [
{
"created": "Fri, 20 Feb 2015 16:55:26 GMT",
"version": "v1"
}
] | 2015-08-26 | [
[
"Edery",
"Ariel",
""
],
[
"Nakayama",
"Yu",
""
]
] | Recently, it has been pointed out that dimensionless actions in four dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed {\it restricted Weyl invariance}. We show that starting with a restricted Weyl invariant action that includes a Higgs sector with no explicit mass, one can generate the Einstein-Hilbert action with cosmological constant and a Higgs mass. The model also contains an extra massless scalar field which couples to the Higgs field (and gravity). If the coupling of this extra scalar field to the Higgs field is negligibly small, this fixes the coefficient of the nonminimal coupling $R \Phi^2$ between the Higgs field and gravity. Besides the Higgs sector, all the other fields of the standard model can be incorporated into the original restricted Weyl invariant action. |
1009.4418 | Jorge Zanelli | Jose D. Edelstein, Alan Garbarz, Olivera Miskovic and Jorge Zanelli | Naked Singularities, Topological Defects and Brane Couplings | 11 pages, no figures. To appear in "Quantum Gravity and the
Foundations of Physics", conference held in honor of Prof. Mario Castagnino's
75th birthday, Rosario, Argentina, March 2010 | Int.J.Mod.Phys.D20:839-849,2011 | 10.1142/S0218271811019177 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A conical defect in (2+1) anti-de Sitter space is a BTZ solution with a
negative mass parameter. This is a naked singularity, but a rather harmless
one: it is a point particle. Naturally, the energy density and the spacetime
curvature have a delta-like singularity at the apex of the conical defect, but
that doesn't give rise to any unphysical situations. Since the conical solution
implies the presence of a source, applying reverse enginnering, one can
identify the coupling term that is required in the action to account for that
source. In that way, a relation is established between the identification
operation that gives rise to the topological defect and the interaction term in
the action that produces it. This idea has a natural extension to higher
dimensions, where instead of a point particle (zero-brane) one finds membranes
of even spatial dimensions (p-branes, with p=2n). The generalization to other
abelian and nonabelian gauge theories --including (super-) gravities-- is
fairly straightforward: the 2n-brane couple to a (2n+1) Chern-Simons form. The
construction suggests a generic role for Chern-Simons forms as the natural way
to couple a gauge connection to a brane and avoids the inconsistency that
results from the minimal coupling between a brane and a fundamental p-form
field.
| [
{
"created": "Wed, 22 Sep 2010 16:43:26 GMT",
"version": "v1"
}
] | 2011-05-25 | [
[
"Edelstein",
"Jose D.",
""
],
[
"Garbarz",
"Alan",
""
],
[
"Miskovic",
"Olivera",
""
],
[
"Zanelli",
"Jorge",
""
]
] | A conical defect in (2+1) anti-de Sitter space is a BTZ solution with a negative mass parameter. This is a naked singularity, but a rather harmless one: it is a point particle. Naturally, the energy density and the spacetime curvature have a delta-like singularity at the apex of the conical defect, but that doesn't give rise to any unphysical situations. Since the conical solution implies the presence of a source, applying reverse enginnering, one can identify the coupling term that is required in the action to account for that source. In that way, a relation is established between the identification operation that gives rise to the topological defect and the interaction term in the action that produces it. This idea has a natural extension to higher dimensions, where instead of a point particle (zero-brane) one finds membranes of even spatial dimensions (p-branes, with p=2n). The generalization to other abelian and nonabelian gauge theories --including (super-) gravities-- is fairly straightforward: the 2n-brane couple to a (2n+1) Chern-Simons form. The construction suggests a generic role for Chern-Simons forms as the natural way to couple a gauge connection to a brane and avoids the inconsistency that results from the minimal coupling between a brane and a fundamental p-form field. |
hep-th/0401221 | Gianmassimo Tasinato | Hyun Min Lee and Gianmassimo Tasinato | Cosmology of intersecting brane world models in Gauss-Bonnet gravity | 19 pages, no figures, JHEP style. v2: Typos corrected and references
added | JCAP 0404 (2004) 009 | 10.1088/1475-7516/2004/04/009 | null | hep-th astro-ph gr-qc hep-ph | null | We study the cosmological properties of a codimension two brane world that
sits at the intersection between two four branes, in the framework of six
dimensional Einstein-Gauss-Bonnet gravity. Due to contributions of the
Gauss-Bonnet terms, the junction conditions require the presence of localized
energy density on the codimension two defect. The induced metric on this
surface assumes a FRW form, with a scale factor associated to the position of
the brane in the background; we can embed on the codimension two defect the
preferred form of energy density. We present the cosmological evolution
equations for the three brane, showing that, for the case of pure AdS$_6$
backgrounds, they acquire the same form of the ones for the Randall-Sundrum II
model. When the background is different from pure AdS$_6$, the cosmological
behavior is potentially modified in respect to the typical one of codimension
one brane worlds. We discuss, in a particular model embedded in an AdS$_6$
black hole, the conditions one should satisfy in order to obtain standard
cosmology at late epochs.
| [
{
"created": "Wed, 28 Jan 2004 13:34:37 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Feb 2004 20:05:18 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Lee",
"Hyun Min",
""
],
[
"Tasinato",
"Gianmassimo",
""
]
] | We study the cosmological properties of a codimension two brane world that sits at the intersection between two four branes, in the framework of six dimensional Einstein-Gauss-Bonnet gravity. Due to contributions of the Gauss-Bonnet terms, the junction conditions require the presence of localized energy density on the codimension two defect. The induced metric on this surface assumes a FRW form, with a scale factor associated to the position of the brane in the background; we can embed on the codimension two defect the preferred form of energy density. We present the cosmological evolution equations for the three brane, showing that, for the case of pure AdS$_6$ backgrounds, they acquire the same form of the ones for the Randall-Sundrum II model. When the background is different from pure AdS$_6$, the cosmological behavior is potentially modified in respect to the typical one of codimension one brane worlds. We discuss, in a particular model embedded in an AdS$_6$ black hole, the conditions one should satisfy in order to obtain standard cosmology at late epochs. |
hep-th/0107160 | Alexander Nichols | I. I. Kogan, A. Nichols | SU(2)_0 and OSp(2|2)_{-2} WZNW models : Two current algebras, one
Logarithmic CFT | 31 pages. Revised version | Int.J.Mod.Phys. A17 (2002) 2615 | 10.1142/S0217751X02009990 | OUTP-01-38-P | hep-th cond-mat | null | We show that the SU(2)_0 WZNW model has a hidden OSp(2|2)_{-2} symmetry. Both
these theories are known to have logarithms in their correlation functions. We
also show that, like OSp(2|2)_{-2}, the logarithmic structure present in the
SU(2)_0 model is due to the underlying c=-2 sector. We also demonstrate that
the quantum Hamiltonian reduction of SU(2)_0 leads very directly to the
correlation functions of the c=-2 model. We also discuss some of the novel
boundary effects which can take place in this model.
| [
{
"created": "Thu, 19 Jul 2001 17:12:28 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Oct 2001 14:56:13 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kogan",
"I. I.",
""
],
[
"Nichols",
"A.",
""
]
] | We show that the SU(2)_0 WZNW model has a hidden OSp(2|2)_{-2} symmetry. Both these theories are known to have logarithms in their correlation functions. We also show that, like OSp(2|2)_{-2}, the logarithmic structure present in the SU(2)_0 model is due to the underlying c=-2 sector. We also demonstrate that the quantum Hamiltonian reduction of SU(2)_0 leads very directly to the correlation functions of the c=-2 model. We also discuss some of the novel boundary effects which can take place in this model. |
hep-th/0308087 | Plamen Bozhilov | D. Aleksandrova, P. Bozhilov | On the Classical String Solutions and String/Field Theory Duality II | LaTeX, 21 pages, no figures; V2: another example added; V3: 26 pages,
new string solutions in AdS_5 x S^5 added - with 2 spins and up to 9
independent conserved R-charges, presentation improved, references updated;
V4: comments and references added, to appear in IJMPA; V5: final version | Int.J.Mod.Phys. A19 (2004) 4475-4502 | 10.1142/S0217751X04018348 | null | hep-th | null | Based on the recently considered classical string configurations, in the
framework of the semi-classical limit of the string/gauge theory
correspondence, we describe a procedure for obtaining exact classical string
solutions in general string theory backgrounds, when the string embedding
coordinates depend non-linearly on the worldsheet spatial parameter. The
tensionless limit, corresponding to small t'Hooft coupling on the field theory
side, is also considered. Applying the developed approach, we first reproduce
some known results. Then, we find new string solutions - with two spins in
AdS_5 black hole background and in AdS_5 x S^5 with two spins and up to nine
independent conserved R-charges.
| [
{
"created": "Wed, 13 Aug 2003 18:23:02 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 2003 14:52:38 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Oct 2003 15:18:09 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Feb 2004 11:12:53 GMT",
"version": "v4"
},
{
"created": "Sun, 28 Nov 2004 15:51:17 GMT",
"version": "v5"
}
] | 2007-05-23 | [
[
"Aleksandrova",
"D.",
""
],
[
"Bozhilov",
"P.",
""
]
] | Based on the recently considered classical string configurations, in the framework of the semi-classical limit of the string/gauge theory correspondence, we describe a procedure for obtaining exact classical string solutions in general string theory backgrounds, when the string embedding coordinates depend non-linearly on the worldsheet spatial parameter. The tensionless limit, corresponding to small t'Hooft coupling on the field theory side, is also considered. Applying the developed approach, we first reproduce some known results. Then, we find new string solutions - with two spins in AdS_5 black hole background and in AdS_5 x S^5 with two spins and up to nine independent conserved R-charges. |
hep-th/0004152 | null | Carlos Castro, Alex Granik, M.S. El Naschie | Why we live in 3 Dimensions | Revised (tex,latex) file. Number of pages = 39 Number of figures = 2.
The incorrect affiliation of M. S. El Naschie was removed | null | null | null | hep-th gr-qc | null | A Cantorian fractal spacetime, a family member of von Neumann's
noncommutative geometry is introduced as a geometry underlying a new relativity
theory which is similar to the relation between general relativity and
Riemannian geometry. Based on this model and the new relativity theory an
ensemble distribution of all the dimensions of quantum spacetime is derived
with the help of Fermat grand theorem. The calculated average dimension is very
close to the value of $4+\phi^3 $ (where $\phi$ is the golden mean) obtained by
El Naschie on the basis of a different approach. It is shown that within the
framework of the new relativity the cosmological constant problem is
nonexistent, since the Universe self-organizes and self-tunes according to the
renormalization group (RG) flow with respect to a local scaling microscopic
arrow of time. This implies that the world emerged as a result of a
non-equilibrium process of self-organized critical phenomena launched by vacuum
fluctuations in Cantorian fractal spacetime $\cal E^{\infty}$. It is shown that
we are living in a metastable vacuum and are moving towards a fixed point ($ D$
= 4+$\phi^3$) of the RG. After reaching this point, a new phase transition will
drive the universe to a quasi-crystal phase of the lower average dimension of
$\phi^3$.
| [
{
"created": "Fri, 21 Apr 2000 02:14:41 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Apr 2000 21:07:50 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jun 2000 00:09:17 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Jun 2000 21:49:26 GMT",
"version": "v4"
},
{
"created": "Fri, 18 Aug 2000 14:38:59 GMT",
"version": "v5"
}
] | 2011-12-10 | [
[
"Castro",
"Carlos",
""
],
[
"Granik",
"Alex",
""
],
[
"Naschie",
"M. S. El",
""
]
] | A Cantorian fractal spacetime, a family member of von Neumann's noncommutative geometry is introduced as a geometry underlying a new relativity theory which is similar to the relation between general relativity and Riemannian geometry. Based on this model and the new relativity theory an ensemble distribution of all the dimensions of quantum spacetime is derived with the help of Fermat grand theorem. The calculated average dimension is very close to the value of $4+\phi^3 $ (where $\phi$ is the golden mean) obtained by El Naschie on the basis of a different approach. It is shown that within the framework of the new relativity the cosmological constant problem is nonexistent, since the Universe self-organizes and self-tunes according to the renormalization group (RG) flow with respect to a local scaling microscopic arrow of time. This implies that the world emerged as a result of a non-equilibrium process of self-organized critical phenomena launched by vacuum fluctuations in Cantorian fractal spacetime $\cal E^{\infty}$. It is shown that we are living in a metastable vacuum and are moving towards a fixed point ($ D$ = 4+$\phi^3$) of the RG. After reaching this point, a new phase transition will drive the universe to a quasi-crystal phase of the lower average dimension of $\phi^3$. |
hep-th/9205110 | Jean-Loup Gervais | I.M.Krichever | The $\tau$-function of the universal Whitham hierarchy, matrix models
and topological field theories | (34 pages LATEX file) LPTENS--92/18 | Commun.PureAppl.Math.47:437,1994 | null | null | hep-th | null | The universal Witham hierarchy is considered from the point of view of
topological field theories. The $\tau$-function for this hierarchy is defined.
It is proved that the algebraic orbits of Whitham hierarchy can be identified
with various topological matter models coupled with topological gravity.
| [
{
"created": "Fri, 29 May 1992 13:31:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Krichever",
"I. M.",
""
]
] | The universal Witham hierarchy is considered from the point of view of topological field theories. The $\tau$-function for this hierarchy is defined. It is proved that the algebraic orbits of Whitham hierarchy can be identified with various topological matter models coupled with topological gravity. |
hep-th/0703035 | Thomas Mohaupt | T. Mohaupt | Supersymmetric black holes in string theory | 43 pages, based on a talk given at the midterm meeting of the RTN
project `Constituents, Fundamental Forces and Symmetries of the Universe' in
Naples, October 9-13, 2006 | Fortsch.Phys.55:519-544,2007 | 10.1002/prop.200610382 | LTH 739 | hep-th | null | We review recent developments concerning supersymmetric black holes in string
theory. After a general introduction to the laws of black hole mechanics and to
black hole entropy in string theory, we discuss black hole solutions in N=2
supergravity, special geometry, the black hole attractor equations and the
underlying variational principle. Special attention is payed to the crucial
role of higher derivative corrections. Finally we discuss black hole partition
functions and their relation to the topological string, mainly from the
supergravity perspective. We try to summarize the state of art and discuss
various open questions and problems.
| [
{
"created": "Mon, 5 Mar 2007 09:33:32 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Mohaupt",
"T.",
""
]
] | We review recent developments concerning supersymmetric black holes in string theory. After a general introduction to the laws of black hole mechanics and to black hole entropy in string theory, we discuss black hole solutions in N=2 supergravity, special geometry, the black hole attractor equations and the underlying variational principle. Special attention is payed to the crucial role of higher derivative corrections. Finally we discuss black hole partition functions and their relation to the topological string, mainly from the supergravity perspective. We try to summarize the state of art and discuss various open questions and problems. |
hep-th/9304080 | null | H. Aratyn, C.P. Constantinidis, L.A. Ferreira, J.F. Gomes and A.H.
Zimerman | Construction of Affine and Conformal Affine Toda Solitons by Hirota's
Method | 9 pages, LATEX, IFT-P/020/93, UICHEP-TH/93-3 | null | null | null | hep-th | null | In this talk we report some results about the construction of soliton
solutions for the Affine and Conformal Affine Toda models using the Hirota's
method. We obtain new classes of solitons connected to the degeneracies of the
Cartan matrix eigenvalues as well as to some particular features of the
recursive scheme developed here. We obtain an universal mass formula for all
those solitons. The examples of $SU(6)$ and $Sp(3)$ are discussed in some
detail. ( Talk presented at the VII J.A. Swieca Summer School, Section:
Particles and
Fields, Campos do Jord\~ao - Brasil - January/93)
| [
{
"created": "Mon, 19 Apr 1993 18:19:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Aratyn",
"H.",
""
],
[
"Constantinidis",
"C. P.",
""
],
[
"Ferreira",
"L. A.",
""
],
[
"Gomes",
"J. F.",
""
],
[
"Zimerman",
"A. H.",
""
]
] | In this talk we report some results about the construction of soliton solutions for the Affine and Conformal Affine Toda models using the Hirota's method. We obtain new classes of solitons connected to the degeneracies of the Cartan matrix eigenvalues as well as to some particular features of the recursive scheme developed here. We obtain an universal mass formula for all those solitons. The examples of $SU(6)$ and $Sp(3)$ are discussed in some detail. ( Talk presented at the VII J.A. Swieca Summer School, Section: Particles and Fields, Campos do Jord\~ao - Brasil - January/93) |
1210.1339 | Tobias Huber | Tobias Huber (Siegen U) | The Sudakov form factor to three loops in N=4 super Yang-Mills | 9 pages, 3 figures. Proceedings of the 11th DESY workshop "Loops and
Legs in Quantum Field Theory", April 2012, Wernigerode, Germany | null | null | SI-HEP-2012-17 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the results for the Sudakov form factor in N=4 super Yang-Mills
theory up to the three-loop level. At each loop order, the form factor is
expressed as a linear combination of only a handful scalar integrals, with
small integer coefficients. Working in dimensional regularisation, the
expansion coefficients of each integral exhibit homogeneous transcendentality
in the Riemann zeta-function. We find that the logarithm of the form factor
reproduces the correct values of the cusp and collinear anomalous dimensions.
Moreover, the form factor in N=4 super Yang-Mills can be related to the leading
transcendentality pieces of the QCD quark and gluon form factor. Finally, we
comment briefly on the ultraviolet properties of the N=4 form factor in D>4
dimensions.
| [
{
"created": "Thu, 4 Oct 2012 08:52:18 GMT",
"version": "v1"
}
] | 2012-10-05 | [
[
"Huber",
"Tobias",
"",
"Siegen U"
]
] | We review the results for the Sudakov form factor in N=4 super Yang-Mills theory up to the three-loop level. At each loop order, the form factor is expressed as a linear combination of only a handful scalar integrals, with small integer coefficients. Working in dimensional regularisation, the expansion coefficients of each integral exhibit homogeneous transcendentality in the Riemann zeta-function. We find that the logarithm of the form factor reproduces the correct values of the cusp and collinear anomalous dimensions. Moreover, the form factor in N=4 super Yang-Mills can be related to the leading transcendentality pieces of the QCD quark and gluon form factor. Finally, we comment briefly on the ultraviolet properties of the N=4 form factor in D>4 dimensions. |
2308.11514 | Gustav Mogull | Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, Benjamin Sauer | Dissipative scattering of spinning black holes at fourth
post-Minkowskian order | 9 pages, 2 figures | null | null | HU-EP-23/47-RTG | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the radiation reacted momentum impulse $\Delta p_i^\mu$, spin kick
$\Delta S_i^\mu$, and scattering angle $\theta$ between two scattered spinning
massive bodies (black holes or neutron stars) using the $\mathcal{N}=1$
supersymmetric worldline quantum field theory formalism up to fourth
post-Minkowskian (4PM) order. Our calculation confirms the state-of-the-art
non-spinning results, and extends them to include spin-orbit effects. Advanced
multi-loop Feynman integral technology including differential equations and the
method of regions are applied and extended to deal with the retarded
propagators arising in a causal description of the scattering dynamics. From
these results we determine a complete set of radiative fluxes at sub-leading PM
order: the 4PM radiated four-momentum and, via linear response, the 3PM
radiated angular momentum, both again including spin-orbit effects.
| [
{
"created": "Tue, 22 Aug 2023 15:41:08 GMT",
"version": "v1"
}
] | 2023-08-23 | [
[
"Jakobsen",
"Gustav Uhre",
""
],
[
"Mogull",
"Gustav",
""
],
[
"Plefka",
"Jan",
""
],
[
"Sauer",
"Benjamin",
""
]
] | We compute the radiation reacted momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$, and scattering angle $\theta$ between two scattered spinning massive bodies (black holes or neutron stars) using the $\mathcal{N}=1$ supersymmetric worldline quantum field theory formalism up to fourth post-Minkowskian (4PM) order. Our calculation confirms the state-of-the-art non-spinning results, and extends them to include spin-orbit effects. Advanced multi-loop Feynman integral technology including differential equations and the method of regions are applied and extended to deal with the retarded propagators arising in a causal description of the scattering dynamics. From these results we determine a complete set of radiative fluxes at sub-leading PM order: the 4PM radiated four-momentum and, via linear response, the 3PM radiated angular momentum, both again including spin-orbit effects. |
hep-th/9602106 | Mikhail Plyushchay | Jose L. Cortes and Mikhail S. Plyushchay | Comment on ``New pseudoclassical model for Weyl particles" | 4 pages, LaTeX, submitted to Phys. Rev. D | null | null | DFTUZ/96/08 | hep-th | null | It is demonstrated that the recently proposed pseudoclassical model for Weyl
particles [1] (D.M. Gitman, A.E. Goncalves and I.V. Tyutin, Phys. Rev. D 50
(1994) 5439) is classically inconsistent. A possible way of removing the
classical inconsistency of the model is proposed.
| [
{
"created": "Mon, 19 Feb 1996 23:52:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cortes",
"Jose L.",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] | It is demonstrated that the recently proposed pseudoclassical model for Weyl particles [1] (D.M. Gitman, A.E. Goncalves and I.V. Tyutin, Phys. Rev. D 50 (1994) 5439) is classically inconsistent. A possible way of removing the classical inconsistency of the model is proposed. |
0804.3066 | Paul Frampton | Paul H. Frampton | Particle phenomenology and Maldacena | Talk at "Ten Years of AdS/CFT", Buenos Aires,December 19-21,2007. 11
pages latex | AIPConf.Proc.1031:244-254,2008 | 10.1063/1.2972011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A brief review is offered of employing Maldacena's AdS/CFT correspondence in
attempting to identify a model which extends to higher energy the standard
model of particle phenomenology.
| [
{
"created": "Fri, 18 Apr 2008 16:28:23 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Frampton",
"Paul H.",
""
]
] | A brief review is offered of employing Maldacena's AdS/CFT correspondence in attempting to identify a model which extends to higher energy the standard model of particle phenomenology. |
hep-th/9509062 | Kuzenko | S.M. Kuzenko, S.L. Lyakhovich, A.Yu. Segal and A.A. Sharapov | Massive spinning particle on anti-de Sitter space | 23 pages, LaTeX | Int.J.Mod.Phys. A11 (1996) 3307-3330 | null | ITP-UH 24-95 | hep-th | null | To describe a massive particle with fixed, but arbitrary, spin on $d=4$
anti-de Sitter space $M^4$, we propose the point-particle model with
configuration space ${\cal M}^6 = M^{4}\times S^{2}$, where the sphere $S^2$
corresponds to the spin degrees of freedom. The model possesses two gauge
symmetries expressing strong conservation of the phase-space counterparts of
the second- and fourth-order Casimir operators for $so(3,2)$. We prove that the
requirement of energy to have a global positive minimum $E_o$ over the
configuration space is equivalent to the relation $E_o > s$, $s$ being the
particle's spin, what presents the classical counterpart of the quantum massive
condition. States with the minimal energy are studied in detail. The model is
shown to be exactly solvable. It can be straightforwardly generalized to
describe a spinning particle on $d$-dimensional anti-de Sitter space $M^d$,
with ${\cal M}^{2(d-1)} = M^d \times S^{(d-2)}$ the corresponding configuration
space.
| [
{
"created": "Tue, 12 Sep 1995 13:45:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kuzenko",
"S. M.",
""
],
[
"Lyakhovich",
"S. L.",
""
],
[
"Segal",
"A. Yu.",
""
],
[
"Sharapov",
"A. A.",
""
]
] | To describe a massive particle with fixed, but arbitrary, spin on $d=4$ anti-de Sitter space $M^4$, we propose the point-particle model with configuration space ${\cal M}^6 = M^{4}\times S^{2}$, where the sphere $S^2$ corresponds to the spin degrees of freedom. The model possesses two gauge symmetries expressing strong conservation of the phase-space counterparts of the second- and fourth-order Casimir operators for $so(3,2)$. We prove that the requirement of energy to have a global positive minimum $E_o$ over the configuration space is equivalent to the relation $E_o > s$, $s$ being the particle's spin, what presents the classical counterpart of the quantum massive condition. States with the minimal energy are studied in detail. The model is shown to be exactly solvable. It can be straightforwardly generalized to describe a spinning particle on $d$-dimensional anti-de Sitter space $M^d$, with ${\cal M}^{2(d-1)} = M^d \times S^{(d-2)}$ the corresponding configuration space. |
hep-th/9411149 | Nathan Seiberg | N. Seiberg | Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories | 22 pages, uses harvmac | Nucl.Phys.B435:129-146,1995 | 10.1016/0550-3213(94)00023-8 | RU-94-82, IASSNS-HEP-94/98 | hep-th hep-ph | null | We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian
gauge theories in four dimensions by presenting two different gauge theories
(different gauge groups and quark representations) leading to the same
non-trivial long distance physics. The quarks and gluons of one theory can be
interpreted as solitons (non-Abelian magnetic monopoles) of the elementary
fields of the other theory. The weak coupling region of one theory is mapped to
a strong coupling region of the other. When one of the theories is Higgsed by
an expectation value of a squark, the other theory is confined. Massless
glueballs, baryons and Abelian magnetic monopoles in the confining description
are the weakly coupled elementary quarks (i.e.\ solitons of the confined
quarks) in the dual Higgs description.
| [
{
"created": "Sun, 20 Nov 1994 18:18:45 GMT",
"version": "v1"
}
] | 2009-07-09 | [
[
"Seiberg",
"N.",
""
]
] | We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long distance physics. The quarks and gluons of one theory can be interpreted as solitons (non-Abelian magnetic monopoles) of the elementary fields of the other theory. The weak coupling region of one theory is mapped to a strong coupling region of the other. When one of the theories is Higgsed by an expectation value of a squark, the other theory is confined. Massless glueballs, baryons and Abelian magnetic monopoles in the confining description are the weakly coupled elementary quarks (i.e.\ solitons of the confined quarks) in the dual Higgs description. |
hep-th/0508067 | Fernando T. C. Brandt | Fernando T. Brandt, Ashok Das, Olivier Espinosa, Josif Frenkel,
Silvana Perez | Thermal Operator Representation of Finite Temperature Graphs | 20 pages, seven figures | Phys.Rev.D72:085006,2005 | 10.1103/PhysRevD.72.085006 | null | hep-th hep-ph | null | Using the mixed space representation (t,p) in the context of scalar field
theories, we prove in a simple manner that the Feynman graphs at finite
temperature are related to the corresponding zero temperature diagrams through
a simple thermal operator, both in the imaginary time as well as in the real
time formalisms. This result is generalized to the case when there is a
nontrivial chemical potential present. Several interesting properties of the
thermal operator are also discussed.
| [
{
"created": "Tue, 9 Aug 2005 21:44:16 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Brandt",
"Fernando T.",
""
],
[
"Das",
"Ashok",
""
],
[
"Espinosa",
"Olivier",
""
],
[
"Frenkel",
"Josif",
""
],
[
"Perez",
"Silvana",
""
]
] | Using the mixed space representation (t,p) in the context of scalar field theories, we prove in a simple manner that the Feynman graphs at finite temperature are related to the corresponding zero temperature diagrams through a simple thermal operator, both in the imaginary time as well as in the real time formalisms. This result is generalized to the case when there is a nontrivial chemical potential present. Several interesting properties of the thermal operator are also discussed. |
hep-th/9504141 | Dr Ian Kogan | Ian I. Kogan and Mikhail Shifman | Two Phases of Supersymmetric Gluodynamics | Plain LaTeX, 6 pages, 2 figures in a uuencoded file Final version
which appeared in Phys. Rev. Let.75;2085-2087,1995 Corrected references and
some Comments with no effect on conclusions | Phys. Rev. Lett. 75, 2085 (1995) | 10.1103/PhysRevLett.75.2085 | TPI-MINN-95/10-T; UMN-TH-1340-95; OUTP-95-14P | hep-th | null | We argue that supersymmetric gluodynamics has two phases with equivalent
infrared behavior, one of which is asymptotically free and another one is
superstrongly coupled in the ultraviolet domain.
| [
{
"created": "Wed, 26 Apr 1995 21:07:20 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 1995 17:06:04 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Apr 1995 08:11:52 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Oct 1995 12:07:29 GMT",
"version": "v4"
}
] | 2016-08-24 | [
[
"Kogan",
"Ian I.",
""
],
[
"Shifman",
"Mikhail",
""
]
] | We argue that supersymmetric gluodynamics has two phases with equivalent infrared behavior, one of which is asymptotically free and another one is superstrongly coupled in the ultraviolet domain. |
hep-th/0408057 | Shyamoli Chaudhuri | Shyamoli Chaudhuri | Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of
Emergent Local Geometry? | 30pgs. v6: Ref [4] added, some terminology corrected in Intro,
sections 5,6. Footnote 2 clarifies the relation to hep-th/0201129v1.
Acknowledgments added | Nucl.Phys. B719 (2005) 188-218 | 10.1016/j.nuclphysb.2005.04.028 | null | hep-th cond-mat.stat-mech gr-qc | null | We introduce a novel spacetime reduction procedure for the fields of a
supergravity-Yang-Mills theory in generic curved spacetime background, and with
large N flavor group, to linearized forms on an infinitesimal patch of local
tangent space at a point in the spacetime manifold. Our new prescription for
spacetime reduction preserves all of the local symmetries of the continuum
field theory Lagrangian in the resulting zero-dimensional matrix Lagrangian,
thereby obviating difficulties encountered in previous matrix proposals for
emergent spacetime in recovering the full nonlinear symmetries of Einstein
gravity. We conjecture that the zero-dimensional matrix model obtained by this
prescription for spacetime reduction of the circle-compactified type
I-I'-mIIA-IIB-heterotic supergravity-Yang-Mills theory with sixteen
supercharges and large N flavor group, and inclusive of the full spectrum of
Dpbrane charges, offers a potentially complete framework for nonperturbative
string/M theory. We explain the relationship of our conjecture for a
fundamental theory of emergent local spacetime geometry to recent
investigations of the hidden symmetry algebra of M theory, stressing insights
that are to be gained from the algebraic perspective. We conclude with a list
of open questions and directions for future work.
| [
{
"created": "Sat, 7 Aug 2004 17:52:53 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 2004 18:57:41 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Nov 2004 21:44:44 GMT",
"version": "v3"
},
{
"created": "Wed, 2 Mar 2005 18:51:16 GMT",
"version": "v4"
},
{
"created": "Tue, 17 May 2005 18:12:05 GMT",
"version": "v5"
},
{
"created": "Mon, 6 Jun 2005 17:18:04 GMT",
"version": "v6"
}
] | 2009-11-10 | [
[
"Chaudhuri",
"Shyamoli",
""
]
] | We introduce a novel spacetime reduction procedure for the fields of a supergravity-Yang-Mills theory in generic curved spacetime background, and with large N flavor group, to linearized forms on an infinitesimal patch of local tangent space at a point in the spacetime manifold. Our new prescription for spacetime reduction preserves all of the local symmetries of the continuum field theory Lagrangian in the resulting zero-dimensional matrix Lagrangian, thereby obviating difficulties encountered in previous matrix proposals for emergent spacetime in recovering the full nonlinear symmetries of Einstein gravity. We conjecture that the zero-dimensional matrix model obtained by this prescription for spacetime reduction of the circle-compactified type I-I'-mIIA-IIB-heterotic supergravity-Yang-Mills theory with sixteen supercharges and large N flavor group, and inclusive of the full spectrum of Dpbrane charges, offers a potentially complete framework for nonperturbative string/M theory. We explain the relationship of our conjecture for a fundamental theory of emergent local spacetime geometry to recent investigations of the hidden symmetry algebra of M theory, stressing insights that are to be gained from the algebraic perspective. We conclude with a list of open questions and directions for future work. |
0806.4794 | Peter Jarvis | P. D. Jarvis, S. O. Morgan (University of Tasmania) | Constraint quantisation of a worldline system invariant under reciprocal
relativity. II | 21 pages, LaTeX | J.Phys.A41:465203,2008 | 10.1088/1751-8113/41/46/465203 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the world-line quantisation of a system invariant under the
symmetries of reciprocal relativity. Imposition of the first class constraint,
the generator of local time reparametrisations, on physical states enforces
identification of the world-line cosmological constant with a fixed value of
the quadratic Casimir of the quaplectic symmetry group Q(3,1) ~ U(3,1) x H(4),
the semi-direct product of the pseudo-unitary group with the Weyl-Heisenberg
group. In our previous paper, J Phys A 40 (2007) 12095--12111, the `spin'
degrees of freedom were handled as covariant oscillators, leading to a unique
choice of cosmological constant, required for projecting out negative-norm
states from the physical gauge-invariant states. In the present paper the spin
degrees of freedom are treated as standard oscillators with positive norm
states (wherein Lorentz boosts are not number-conserving in the auxiliary
space; reciprocal transformations are of course not spin-conserving in
general). As in the covariant approach, the spectrum of the square of the
energy-momentum vector is continuous over the entire real line, and thus
includes tachyonic (spacelike) and null branches. Adopting standard frames, the
Wigner method on each branch is implemented, to decompose the auxiliary space
into unitary irreducible representations of the respective little algebras and
additional degeneracy algebras. The physical state space is vastly enriched as
compared with the covariant approach, and contains towers of integer spin
massive states, as well as unconventional massless representations, with
continuous Euclidean momentum and arbitrary integer helicity.
| [
{
"created": "Mon, 30 Jun 2008 04:39:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Jarvis",
"P. D.",
"",
"University of Tasmania"
],
[
"Morgan",
"S. O.",
"",
"University of Tasmania"
]
] | We consider the world-line quantisation of a system invariant under the symmetries of reciprocal relativity. Imposition of the first class constraint, the generator of local time reparametrisations, on physical states enforces identification of the world-line cosmological constant with a fixed value of the quadratic Casimir of the quaplectic symmetry group Q(3,1) ~ U(3,1) x H(4), the semi-direct product of the pseudo-unitary group with the Weyl-Heisenberg group. In our previous paper, J Phys A 40 (2007) 12095--12111, the `spin' degrees of freedom were handled as covariant oscillators, leading to a unique choice of cosmological constant, required for projecting out negative-norm states from the physical gauge-invariant states. In the present paper the spin degrees of freedom are treated as standard oscillators with positive norm states (wherein Lorentz boosts are not number-conserving in the auxiliary space; reciprocal transformations are of course not spin-conserving in general). As in the covariant approach, the spectrum of the square of the energy-momentum vector is continuous over the entire real line, and thus includes tachyonic (spacelike) and null branches. Adopting standard frames, the Wigner method on each branch is implemented, to decompose the auxiliary space into unitary irreducible representations of the respective little algebras and additional degeneracy algebras. The physical state space is vastly enriched as compared with the covariant approach, and contains towers of integer spin massive states, as well as unconventional massless representations, with continuous Euclidean momentum and arbitrary integer helicity. |
2007.01304 | Derek Harland | Chris Halcrow and Derek Harland | An attractive spin-orbit potential from the Skyrme model | 7 pages, 3 figures. v2 includes an erratum, which corrects some
errors in the original paper | Phys. Rev. Lett. 125, 042501 (2020) | 10.1103/PhysRevLett.125.042501 | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the nucleon-nucleon isoscalar spin-orbit potential from the Skyrme
model and find good agreement with the Paris potential. This solves a problem
that has been open for more than thirty years and gives a new geometric
understanding of the spin-orbit force. Our calculation is based on the dipole
approximation to skyrmion dynamics and higher order perturbation theory.
| [
{
"created": "Thu, 2 Jul 2020 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Aug 2022 16:34:37 GMT",
"version": "v2"
}
] | 2022-08-10 | [
[
"Halcrow",
"Chris",
""
],
[
"Harland",
"Derek",
""
]
] | We derive the nucleon-nucleon isoscalar spin-orbit potential from the Skyrme model and find good agreement with the Paris potential. This solves a problem that has been open for more than thirty years and gives a new geometric understanding of the spin-orbit force. Our calculation is based on the dipole approximation to skyrmion dynamics and higher order perturbation theory. |
1803.05202 | Francesco Bigazzi | Francesco Bigazzi, Pierluigi Niro | Neutron-proton mass difference from gauge/gravity duality | Latex, 23 pages; v2 clarifications, comments and references added,
version published on PRD | Phys. Rev. D 98, 046004 (2018) | 10.1103/PhysRevD.98.046004 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using gauge/gravity duality as a tool, we compute the strong sector, isospin
breaking induced contribution to the neutron-proton mass difference in the
Witten-Sakai-Sugimoto model of large $N$ QCD with two non-degenerate light
flavors. The mass difference, for which we provide an analytic expression,
turns out to be positive and proportional to the down-up quark mass splitting,
consistently with expectations and previous estimates based on effective QCD
models. Extrapolating the model parameters to fit QCD hadronic observables, we
find that the strong sector contribution to the nucleon mass splitting
overcomes the electromagnetic contribution and is about $0.25\%$ of the average
nucleon mass in the model, a result which approaches recent lattice QCD
estimates. Our formula is extended to resonances and $\Delta$ baryons. We thus
use it to compute the strong sector contribution to $\Delta$ baryons mass
differences. Finally, we also provide details of how isospin breaking affects
the holographic instanton solution describing the baryons.
| [
{
"created": "Wed, 14 Mar 2018 11:02:08 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Sep 2018 10:06:10 GMT",
"version": "v2"
}
] | 2018-10-01 | [
[
"Bigazzi",
"Francesco",
""
],
[
"Niro",
"Pierluigi",
""
]
] | Using gauge/gravity duality as a tool, we compute the strong sector, isospin breaking induced contribution to the neutron-proton mass difference in the Witten-Sakai-Sugimoto model of large $N$ QCD with two non-degenerate light flavors. The mass difference, for which we provide an analytic expression, turns out to be positive and proportional to the down-up quark mass splitting, consistently with expectations and previous estimates based on effective QCD models. Extrapolating the model parameters to fit QCD hadronic observables, we find that the strong sector contribution to the nucleon mass splitting overcomes the electromagnetic contribution and is about $0.25\%$ of the average nucleon mass in the model, a result which approaches recent lattice QCD estimates. Our formula is extended to resonances and $\Delta$ baryons. We thus use it to compute the strong sector contribution to $\Delta$ baryons mass differences. Finally, we also provide details of how isospin breaking affects the holographic instanton solution describing the baryons. |
hep-th/0407058 | Christopher Pope | M. Cvetic, H. Lu and C.N. Pope | Charged Rotating Black Holes in Five Dimensional U(1)^3 Gauged N=2
Supergravity | 8 pages, Latex. Statements about extra parameter \gamma corrected to
reflect the fact that it is trivial | Phys.Rev.D70:081502,2004 | 10.1103/PhysRevD.70.081502 | MIFP-04-13, UPR-1084-T, USTC-ICTS-04-16 | hep-th | null | We obtain the general solution for non-extremal 3-charge dilatonic rotating
black holes in the U(1)^3 gauged five-dimensional N=2 supergravity coupled to
two vector multiplets, in the case where the two rotation parameters are set
equal. These solutions encompass all the previously-known extremal solutions,
and, by setting the three charges equal, the recently-obtained non-extremal
solutions of N=2 gauged five-dimensional pure supergravity.
| [
{
"created": "Thu, 8 Jul 2004 13:07:27 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Sep 2004 22:32:49 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Cvetic",
"M.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We obtain the general solution for non-extremal 3-charge dilatonic rotating black holes in the U(1)^3 gauged five-dimensional N=2 supergravity coupled to two vector multiplets, in the case where the two rotation parameters are set equal. These solutions encompass all the previously-known extremal solutions, and, by setting the three charges equal, the recently-obtained non-extremal solutions of N=2 gauged five-dimensional pure supergravity. |
1401.7149 | Yuichi Hoshino | Yuichi Hoshino | Soft-photon exponentiation beyond the quenched approximation in
QED$_{2+1}$ | 28 pages,RevTex4,4 figures,typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the infrared and ultraviolet behavior of the fermion propagator in
(2+1)-dimensional QED based on spectral representation.If we choose soft-photon
exponentiation to include all orders of soft-photon emission by electron,its
spectral function may be written as $e^{F}$,where $F$ is a model independent
spectral function of the lowest order in the coupling constant.We evaluate the
function $F$ in an analytic way and show its short and long distance behavior
with an infrared cut-off $\mu$.At short distance function $F$ has linear and
logarithmic infrared divergence.However in the long distance limit function $F$
vanishes.So that only short distance part of $e^{F}$ is modified from unity.We
may avoid the linear divergence by the choice of the gauge $d=-1$,where $d$ is
a covariant gauge fixing parameter.In this gauge the spectral function vanishes
in the limit of zero bare photon mass $\mu$.We overcome this difficulty by
adding continuous spectrum of massive fermion loop to photon spectral function
$\rho(\mu^{2})$,where $\mu$ has the role of invariant mass for
fermion-antifermion pair and is larger than $2m.$So that unquenched fermion
spectral function survibes.For the application of chiral symmetry breaking we
carefully studied the position space propagator $S_{F}(0)$.At least for weak
coupling these values agree quite well with that obtained in Dyson-Schwinger
equation with proper vertex correction.We also study these parameter as a
function of the flavour number $N$ and t'Hooft coupling $\alpha=e^{2}N/8\pi$
for strong coupling case.
| [
{
"created": "Tue, 28 Jan 2014 11:57:45 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Feb 2014 02:11:38 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Mar 2014 06:07:13 GMT",
"version": "v3"
},
{
"created": "Tue, 11 Mar 2014 13:26:36 GMT",
"version": "v4"
},
{
"created": "Thu, 13 Mar 2014 21:00:20 GMT",
"version": "v5"
}
] | 2014-03-17 | [
[
"Hoshino",
"Yuichi",
""
]
] | We discuss the infrared and ultraviolet behavior of the fermion propagator in (2+1)-dimensional QED based on spectral representation.If we choose soft-photon exponentiation to include all orders of soft-photon emission by electron,its spectral function may be written as $e^{F}$,where $F$ is a model independent spectral function of the lowest order in the coupling constant.We evaluate the function $F$ in an analytic way and show its short and long distance behavior with an infrared cut-off $\mu$.At short distance function $F$ has linear and logarithmic infrared divergence.However in the long distance limit function $F$ vanishes.So that only short distance part of $e^{F}$ is modified from unity.We may avoid the linear divergence by the choice of the gauge $d=-1$,where $d$ is a covariant gauge fixing parameter.In this gauge the spectral function vanishes in the limit of zero bare photon mass $\mu$.We overcome this difficulty by adding continuous spectrum of massive fermion loop to photon spectral function $\rho(\mu^{2})$,where $\mu$ has the role of invariant mass for fermion-antifermion pair and is larger than $2m.$So that unquenched fermion spectral function survibes.For the application of chiral symmetry breaking we carefully studied the position space propagator $S_{F}(0)$.At least for weak coupling these values agree quite well with that obtained in Dyson-Schwinger equation with proper vertex correction.We also study these parameter as a function of the flavour number $N$ and t'Hooft coupling $\alpha=e^{2}N/8\pi$ for strong coupling case. |
hep-th/9810089 | Martin Lavelle | Robin Horan, Martin Lavelle and David McMullan | Charges in Gauge Theories | 47 pages, LaTeX, 14 figures, uses feynmp, necessary Metapost files
included. Review to appear in Pramana, Journal of Physics. Minor LaTeX change
to make page numbers visible on "Letter" paper format | Pramana 51 (1998) 317-355 | 10.1007/BF02828927 | null | hep-th hep-ph | null | In this article we investigate charged particles in gauge theories. After
reviewing the physical and theoretical problems, a method to construct charged
particles is presented. Explicit solutions are found in the Abelian theory and
a physical interpretation is given. These solutions and our interpretation of
these variables as the true degrees of freedom for charged particles, are then
tested in the perturbative domain and are demonstrated to yield infra-red
finite, on-shell Green's functions at all orders of perturbation theory. The
extension to collinear divergences is studied and it is shown that this method
applies to the case of massless charged particles. The application of these
constructions to the charged sectors of the standard model is reviewed and we
conclude with a discussion of the successes achieved so far in this programme
and a list of open questions.
| [
{
"created": "Tue, 13 Oct 1998 15:37:51 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Oct 1998 10:25:27 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Horan",
"Robin",
""
],
[
"Lavelle",
"Martin",
""
],
[
"McMullan",
"David",
""
]
] | In this article we investigate charged particles in gauge theories. After reviewing the physical and theoretical problems, a method to construct charged particles is presented. Explicit solutions are found in the Abelian theory and a physical interpretation is given. These solutions and our interpretation of these variables as the true degrees of freedom for charged particles, are then tested in the perturbative domain and are demonstrated to yield infra-red finite, on-shell Green's functions at all orders of perturbation theory. The extension to collinear divergences is studied and it is shown that this method applies to the case of massless charged particles. The application of these constructions to the charged sectors of the standard model is reviewed and we conclude with a discussion of the successes achieved so far in this programme and a list of open questions. |
hep-th/0006129 | Carlos Pinheiro | Carlos Pinheiro (UFES, Brazil), J.A.Helayel-Neto (CBPF & UCP, Brazil),
Gilmar S. Dias (UFES, Brazil), F.C. Khanna (UofA, Canada) | Non-Parallel Electric and Magnetic Fields in a Gravitational Background,
Stationary Gravitational Waves and Gravitons | 6 pages, LaTex | null | null | null | hep-th gr-qc | null | The existence of an electromagnetic field with parallel electric and magnetic
field components in the presence of a gravitational field is considered. A
non-parallel solution is shown to exist. Next, we analyse the possibility of
finding stationary gravitational waves in nature. Finally, we construct a D=4
effective quantum gravity model. Tree-level unitarity is verified.
| [
{
"created": "Fri, 16 Jun 2000 22:28:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pinheiro",
"Carlos",
"",
"UFES, Brazil"
],
[
"Helayel-Neto",
"J. A.",
"",
"CBPF & UCP, Brazil"
],
[
"Dias",
"Gilmar S.",
"",
"UFES, Brazil"
],
[
"Khanna",
"F. C.",
"",
"UofA, Canada"
]
] | The existence of an electromagnetic field with parallel electric and magnetic field components in the presence of a gravitational field is considered. A non-parallel solution is shown to exist. Next, we analyse the possibility of finding stationary gravitational waves in nature. Finally, we construct a D=4 effective quantum gravity model. Tree-level unitarity is verified. |
hep-th/0605155 | Nick Dorey | Heng-Yu Chen, Nick Dorey and Keisuke Okamura | Dyonic Giant Magnons | LaTeX file, 16 pages. One figure. Corrected references | JHEP0609:024,2006 | 10.1088/1126-6708/2006/09/024 | DAMTP-06-38 | hep-th | null | We study the classical spectrum of string theory on AdS_5 X S^5 in the
Hofman-Maldacena limit. We find a family of classical solutions corresponding
to Giant Magnons with two independent angular momenta on S^5. These solutions
are related via Pohlmeyer's reduction procedure to the charged solitons of the
Complex sine-Gordon equation. The corresponding string states are dual to BPS
boundstates of many magnons in the spin-chain description of planar N=4 SUSY
Yang-Mills. The exact dispersion relation for these states is obtained from a
purely classical calculation in string theory.
| [
{
"created": "Tue, 16 May 2006 14:54:44 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 2006 11:21:26 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Chen",
"Heng-Yu",
""
],
[
"Dorey",
"Nick",
""
],
[
"Okamura",
"Keisuke",
""
]
] | We study the classical spectrum of string theory on AdS_5 X S^5 in the Hofman-Maldacena limit. We find a family of classical solutions corresponding to Giant Magnons with two independent angular momenta on S^5. These solutions are related via Pohlmeyer's reduction procedure to the charged solitons of the Complex sine-Gordon equation. The corresponding string states are dual to BPS boundstates of many magnons in the spin-chain description of planar N=4 SUSY Yang-Mills. The exact dispersion relation for these states is obtained from a purely classical calculation in string theory. |
1304.4152 | Valentin Bonzom | Valentin Bonzom, Fr\'ed\'eric Combes | Tensor models from the viewpoint of matrix models: the case of loop
models on random surfaces | v2: largely rewritten, new sections added, references updated | null | null | pi-qg-325 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a connection between random tensors and random matrices through
$U(\tau)$ matrix models which generate fully packed, oriented loops on random
surfaces. The latter are found to be in bijection with a set of regular
edge-colored graphs typically found in tensor models. It is shown that the
expansion in the number of loops is organized like the 1/N expansion of
rank-three tensor models. Recent results on tensor models are reviewed and
applied in this context. For example, configurations which maximize the number
of loops are precisely the melonic graphs of tensor models and a scaling limit
which projects onto the melonic sector is found. We also reinterpret the double
scaling limit of tensor models from the point of view of loops on random
surfaces. This approach is eventually generalized to higher-rank tensor models,
which generate loops with fugacity $\tau$ on triangulations in dimension $d-1$.
| [
{
"created": "Mon, 15 Apr 2013 16:18:27 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2014 08:02:03 GMT",
"version": "v2"
}
] | 2014-11-27 | [
[
"Bonzom",
"Valentin",
""
],
[
"Combes",
"Frédéric",
""
]
] | We study a connection between random tensors and random matrices through $U(\tau)$ matrix models which generate fully packed, oriented loops on random surfaces. The latter are found to be in bijection with a set of regular edge-colored graphs typically found in tensor models. It is shown that the expansion in the number of loops is organized like the 1/N expansion of rank-three tensor models. Recent results on tensor models are reviewed and applied in this context. For example, configurations which maximize the number of loops are precisely the melonic graphs of tensor models and a scaling limit which projects onto the melonic sector is found. We also reinterpret the double scaling limit of tensor models from the point of view of loops on random surfaces. This approach is eventually generalized to higher-rank tensor models, which generate loops with fugacity $\tau$ on triangulations in dimension $d-1$. |
hep-th/0605085 | Alexey Koshelev | I.Ya. Aref'eva and A.S. Koshelev | Cosmic acceleration and crossing of w=-1 barrier in non-local Cubic
Superstring Field Theory model | 16 pages, 16 eps figures; v2 typos corrected, references added; v3
uses JHEP3 | JHEP 0702:041,2007 | 10.1088/1126-6708/2007/02/041 | null | hep-th astro-ph hep-ph | null | We show that the late time rolling of the Cubic Superstring Field Theory
(CSSFT) non-local tachyon in the FRW Universe leads to a cosmic acceleration
with a periodic crossing of the w=-1 barrier. An asymptotic solution for the
tachyon and Hubble parameter by linearizing the non-local equations of motion
is constructed explicitly. For a small Hubble parameter the period of
oscillations is a number entirely defined by the parameters of the CSSFT
action.
| [
{
"created": "Mon, 8 May 2006 17:29:24 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 2006 18:16:51 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jul 2006 08:48:25 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Koshelev",
"A. S.",
""
]
] | We show that the late time rolling of the Cubic Superstring Field Theory (CSSFT) non-local tachyon in the FRW Universe leads to a cosmic acceleration with a periodic crossing of the w=-1 barrier. An asymptotic solution for the tachyon and Hubble parameter by linearizing the non-local equations of motion is constructed explicitly. For a small Hubble parameter the period of oscillations is a number entirely defined by the parameters of the CSSFT action. |
2305.11228 | Mang Hei Gordon Lee | Mang Hei Gordon Lee, Ciaran McCulloch, Enrico Pajer | Leading Loops in Cosmological Correlators | 34 pages, 4 figures; added appendix C, typos corrected | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmological correlators from inflation are often generated at tree level and
hence loop contributions are bounded to be small corrections by perturbativity.
Here we discuss a scenario where this is not the case. Recently, it has been
shown that for any number of scalar fields of any mass, the parity-odd
trispectrum of a massless scalar must vanish in the limit of exact scale
invariance due to unitarity and the choice of initial state. By carefully
handling UV-divergences, we show that the one-loop contribution is
non-vanishing and hence leading. Surprisingly, the one-loop parity-odd
trispectrum is simply a rational function of kinematics, which we compute
explicitly in a series of models, including single-clock inflation. Although
the loop contribution is the leading term in the parity-odd sector, its
signal-to-noise ratio is typically bounded from above by that of a
corresponding tree-level parity-even trispectrum, unless instrumental noise and
systematics for the two observables differ. Furthermore, we identify a series
of loop contributions to the wavefunction that cancel exactly when computing
correlators, suggesting a more general phenomenon.
| [
{
"created": "Thu, 18 May 2023 18:00:20 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Nov 2023 14:05:00 GMT",
"version": "v2"
}
] | 2023-11-08 | [
[
"Lee",
"Mang Hei Gordon",
""
],
[
"McCulloch",
"Ciaran",
""
],
[
"Pajer",
"Enrico",
""
]
] | Cosmological correlators from inflation are often generated at tree level and hence loop contributions are bounded to be small corrections by perturbativity. Here we discuss a scenario where this is not the case. Recently, it has been shown that for any number of scalar fields of any mass, the parity-odd trispectrum of a massless scalar must vanish in the limit of exact scale invariance due to unitarity and the choice of initial state. By carefully handling UV-divergences, we show that the one-loop contribution is non-vanishing and hence leading. Surprisingly, the one-loop parity-odd trispectrum is simply a rational function of kinematics, which we compute explicitly in a series of models, including single-clock inflation. Although the loop contribution is the leading term in the parity-odd sector, its signal-to-noise ratio is typically bounded from above by that of a corresponding tree-level parity-even trispectrum, unless instrumental noise and systematics for the two observables differ. Furthermore, we identify a series of loop contributions to the wavefunction that cancel exactly when computing correlators, suggesting a more general phenomenon. |
hep-th/0409158 | Gregory Moore | Gregory W. Moore | Anomalies, Gauss laws, and Page charges in M-theory | 14 pp., Talk presented at Strings 2004, Paris, July 1 | Comptes Rendus Physique 6 (2005) 251-259 | 10.1016/j.crhy.2004.12.005 | null | hep-th | null | We review the E(8) model of the M-theory 3-form and its applications to
anomaly cancellation, Gauss laws, quantization of Page charge, and the 5-brane
partition function. We discuss the potentially problematic behavior of the
model under parity.
| [
{
"created": "Wed, 15 Sep 2004 15:11:30 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2004 00:49:32 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Moore",
"Gregory W.",
""
]
] | We review the E(8) model of the M-theory 3-form and its applications to anomaly cancellation, Gauss laws, quantization of Page charge, and the 5-brane partition function. We discuss the potentially problematic behavior of the model under parity. |
1107.0628 | Timothy J. Hollowood | Ben Hoare, Timothy J. Hollowood and J. Luis Miramontes | A Relativistic Relative of the Magnon S-Matrix | 42 pages, some important typos corrected | JHEP 1111:048,2011 | 10.1007/JHEP11(2011)048 | Imperial/TP/11/BH/02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a relativistic scattering theory based on a q deformation and
large string tension limit of the magnon S-matrix of the string world sheet
theory in AdS_5 x S^5. The S-matrix falls naturally into a previously studied
class associated to affine quantum groups, in this case for a twisted affine
loop superalgebra associated to an outer automorphism of sl(2|2). This infinite
algebra includes the celebrated triply extended psl(2|2) x R^3 algebra, but
only two of the centres, the lightcone components of the 2-momentum, are
non-vanishing. The algebra has the interpretation as an extended supersymmetry
algebra including a non-trivial R-symmetry. The representation theory of this
algebra has some complications in that tensor products are reducible but
indecomposable, however, we find that structure meshes perfectly with the
bootstrap, or fusion, equations of S-matrix theory. The bootstrap equations can
then be used inductively to generate the complete S-matrix. Unlike the magnon
theory, the relativistic theory only has a finite set of states and we find
that - at least when the deformation parameter q is a root of unity - the
spectrum matches precisely the soliton spectrum of the relativistic theory
underlying the Pohlmeyer reduction of the string world sheet theory known as
the semi-symmetric space sine-Gordon theory.
| [
{
"created": "Mon, 4 Jul 2011 13:56:39 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2011 20:01:29 GMT",
"version": "v2"
}
] | 2012-01-18 | [
[
"Hoare",
"Ben",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
]
] | We construct a relativistic scattering theory based on a q deformation and large string tension limit of the magnon S-matrix of the string world sheet theory in AdS_5 x S^5. The S-matrix falls naturally into a previously studied class associated to affine quantum groups, in this case for a twisted affine loop superalgebra associated to an outer automorphism of sl(2|2). This infinite algebra includes the celebrated triply extended psl(2|2) x R^3 algebra, but only two of the centres, the lightcone components of the 2-momentum, are non-vanishing. The algebra has the interpretation as an extended supersymmetry algebra including a non-trivial R-symmetry. The representation theory of this algebra has some complications in that tensor products are reducible but indecomposable, however, we find that structure meshes perfectly with the bootstrap, or fusion, equations of S-matrix theory. The bootstrap equations can then be used inductively to generate the complete S-matrix. Unlike the magnon theory, the relativistic theory only has a finite set of states and we find that - at least when the deformation parameter q is a root of unity - the spectrum matches precisely the soliton spectrum of the relativistic theory underlying the Pohlmeyer reduction of the string world sheet theory known as the semi-symmetric space sine-Gordon theory. |
1509.00716 | S. Prem Kumar | Timothy J. Hollowood and S. Prem Kumar | Partition function of N=2* SYM on a large four-sphere | Replaced with version to appear in JHEP. Typos corrected, added
discussion on S-duality of the partition function. 47 pages, 8 figures, uses
latex | null | 10.1007/JHEP12(2015)016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the partition function of N=2* supersymmetric SU(N) Yang-Mills
theory on the four-sphere in the large radius limit. We point out that the
large radius partition function, at fixed N, is computed by saddle points lying
on particular walls of marginal stability on the Coulomb branch of the theory
on R^4. For N an even (odd) integer and \theta_YM=0, (\pi), these include a
point of maximal degeneration of the Donagi-Witten curve to a torus where BPS
dyons with electric charge [N/2] become massless. We argue that the dyon
singularity is the lone saddle point in the SU(2) theory, while for SU(N) with
N>2, we characterize potentially competing saddle points by obtaining the
relations between the Seiberg-Witten periods at such points. Using Nekrasov's
instanton partition function, we solve for the maximally degenerate saddle
point and obtain its free energy as a function of g_YM and N, and show that the
results are "large-N exact". In the large-N theory our results provide
analytical expressions for the periods/eigenvalues at the maximally degenerate
saddle point, precisely matching previously known formulae following from the
correspondence between N=2* theory and the elliptic Calogero-Moser integrable
model. The maximally singular point ceases to be a saddle point of the
partition function above a critical value of the coupling, in agreement with
the recent findings of Russo and Zarembo.
| [
{
"created": "Wed, 2 Sep 2015 14:15:07 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Nov 2015 22:40:38 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
]
] | We examine the partition function of N=2* supersymmetric SU(N) Yang-Mills theory on the four-sphere in the large radius limit. We point out that the large radius partition function, at fixed N, is computed by saddle points lying on particular walls of marginal stability on the Coulomb branch of the theory on R^4. For N an even (odd) integer and \theta_YM=0, (\pi), these include a point of maximal degeneration of the Donagi-Witten curve to a torus where BPS dyons with electric charge [N/2] become massless. We argue that the dyon singularity is the lone saddle point in the SU(2) theory, while for SU(N) with N>2, we characterize potentially competing saddle points by obtaining the relations between the Seiberg-Witten periods at such points. Using Nekrasov's instanton partition function, we solve for the maximally degenerate saddle point and obtain its free energy as a function of g_YM and N, and show that the results are "large-N exact". In the large-N theory our results provide analytical expressions for the periods/eigenvalues at the maximally degenerate saddle point, precisely matching previously known formulae following from the correspondence between N=2* theory and the elliptic Calogero-Moser integrable model. The maximally singular point ceases to be a saddle point of the partition function above a critical value of the coupling, in agreement with the recent findings of Russo and Zarembo. |
1510.03784 | Zhao Yang | Zhao Yang, Patrick Hayden, and Xiao-Liang Qi | Bidirectional holographic codes and sub-AdS locality | 24 pages, 9 figures | null | 10.1007/JHEP01(2016)175 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Tensor networks implementing quantum error correcting codes have recently
been used to construct toy models of holographic duality explicitly realizing
some of the more puzzling features of the AdS/CFT correspondence. These models
reproduce the Ryu-Takayanagi entropy formula for boundary intervals, and allow
bulk operators to be mapped to the boundary in a redundant fashion. These
exactly solvable, explicit models have provided valuable insight but
nonetheless suffer from many deficiencies, some of which we attempt to address
in this article. We propose a new class of tensor network models that subsume
the earlier advances and, in addition, incorporate additional features of
holographic duality, including: (1) a holographic interpretation of all
boundary states, not just those in a "code" subspace, (2) a set of bulk states
playing the role of "classical geometries" which reproduce the Ryu-Takayanagi
formula for boundary intervals, (3) a bulk gauge symmetry analogous to
diffeomorphism invariance in gravitational theories, (4) emergent bulk locality
for sufficiently sparse excitations, and (5) the ability to describe geometry
at sub-AdS resolutions or even flat space.
| [
{
"created": "Tue, 13 Oct 2015 17:18:52 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Yang",
"Zhao",
""
],
[
"Hayden",
"Patrick",
""
],
[
"Qi",
"Xiao-Liang",
""
]
] | Tensor networks implementing quantum error correcting codes have recently been used to construct toy models of holographic duality explicitly realizing some of the more puzzling features of the AdS/CFT correspondence. These models reproduce the Ryu-Takayanagi entropy formula for boundary intervals, and allow bulk operators to be mapped to the boundary in a redundant fashion. These exactly solvable, explicit models have provided valuable insight but nonetheless suffer from many deficiencies, some of which we attempt to address in this article. We propose a new class of tensor network models that subsume the earlier advances and, in addition, incorporate additional features of holographic duality, including: (1) a holographic interpretation of all boundary states, not just those in a "code" subspace, (2) a set of bulk states playing the role of "classical geometries" which reproduce the Ryu-Takayanagi formula for boundary intervals, (3) a bulk gauge symmetry analogous to diffeomorphism invariance in gravitational theories, (4) emergent bulk locality for sufficiently sparse excitations, and (5) the ability to describe geometry at sub-AdS resolutions or even flat space. |
1907.04161 | Eran Palti | Dieter Lust, Eran Palti | A Note on String Excitations and the Higuchi Bound | 3 pages | null | 10.1016/j.physletb.2019.135067 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this brief note we consider the interaction between high spin excitations
in string theory along the Regge trajectory and the Higuchi bound in de Sitter
space. There is always a point along the Regge trajectory where the Higuchi
bound is violated. However, this point precisely coincides with a string whose
length is of order the de Sitter Hubble scale. String theory therefore
manifests no immediate inconsistency as long as the string scale $M_s$ is above
the Hubble scale $H$. However, an implication is that the Regge trajectory must
be significantly modified at some ultraviolet scale. Insisting that this
modification should occur no earlier than the Planck scale would lead to a
bound on the string scale of $M_s > \sqrt{H M_p}$.
| [
{
"created": "Tue, 9 Jul 2019 13:41:00 GMT",
"version": "v1"
}
] | 2019-11-06 | [
[
"Lust",
"Dieter",
""
],
[
"Palti",
"Eran",
""
]
] | In this brief note we consider the interaction between high spin excitations in string theory along the Regge trajectory and the Higuchi bound in de Sitter space. There is always a point along the Regge trajectory where the Higuchi bound is violated. However, this point precisely coincides with a string whose length is of order the de Sitter Hubble scale. String theory therefore manifests no immediate inconsistency as long as the string scale $M_s$ is above the Hubble scale $H$. However, an implication is that the Regge trajectory must be significantly modified at some ultraviolet scale. Insisting that this modification should occur no earlier than the Planck scale would lead to a bound on the string scale of $M_s > \sqrt{H M_p}$. |
1604.06108 | Aleksey Cherman | Aleksey Cherman, Thomas Schaefer, Mithat Unsal | Chiral Lagrangian from Duality and Monopole Operators in Compactified
QCD | v1: 6 pages, 2 figures | Phys. Rev. Lett. 117, 081601 (2016) | 10.1103/PhysRevLett.117.081601 | INT-PUB-16-011 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that there exists a special compactification of QCD on $\mathbb{R}^3
\times S^1$ in which the theory has a domain where continuous chiral symmetry
breaking is analytically calculable. We give a microscopic derivation of the
chiral lagrangian, the chiral condensate, and the Gell-Mann-Oakes-Renner
relation $m_{\pi}^2 f_{\pi}^2 = m_q \langle \bar{q} q \rangle$. Abelian
duality, monopole operators, and flavor-twisted boundary conditions, or a
background flavor holonomy, play the main roles. The flavor twisting leads to
the new effect of fractional jumping of fermion zero modes among
monopole-instantons. Chiral symmetry breaking is induced by monopole-instanton
operators, and the Nambu-Goldstone pions arise by color-flavor transmutation
from gapless "dual photons". We also give a microscopic picture of the
"constituent quark" masses. Our results are consistent with expectations from
chiral perturbation theory at large $S^1$, and yield strong support for
adiabatic continuity between the small-$S^1$ and large-$S^1$ regimes. We also
find concrete microscopic connections between ${\cal N}=1$ and ${\cal N}=2$
supersymmetric gauge theory dynamics and non-supersymmetric QCD dynamics.
| [
{
"created": "Wed, 20 Apr 2016 20:01:09 GMT",
"version": "v1"
}
] | 2016-08-24 | [
[
"Cherman",
"Aleksey",
""
],
[
"Schaefer",
"Thomas",
""
],
[
"Unsal",
"Mithat",
""
]
] | We show that there exists a special compactification of QCD on $\mathbb{R}^3 \times S^1$ in which the theory has a domain where continuous chiral symmetry breaking is analytically calculable. We give a microscopic derivation of the chiral lagrangian, the chiral condensate, and the Gell-Mann-Oakes-Renner relation $m_{\pi}^2 f_{\pi}^2 = m_q \langle \bar{q} q \rangle$. Abelian duality, monopole operators, and flavor-twisted boundary conditions, or a background flavor holonomy, play the main roles. The flavor twisting leads to the new effect of fractional jumping of fermion zero modes among monopole-instantons. Chiral symmetry breaking is induced by monopole-instanton operators, and the Nambu-Goldstone pions arise by color-flavor transmutation from gapless "dual photons". We also give a microscopic picture of the "constituent quark" masses. Our results are consistent with expectations from chiral perturbation theory at large $S^1$, and yield strong support for adiabatic continuity between the small-$S^1$ and large-$S^1$ regimes. We also find concrete microscopic connections between ${\cal N}=1$ and ${\cal N}=2$ supersymmetric gauge theory dynamics and non-supersymmetric QCD dynamics. |
2007.15663 | Linus Wulff | Stanislav Hronek and Linus Wulff | Relaxing unimodularity for Yang-Baxter deformed strings | 15 pages; v2: Now covers also inhomogeneous deformations. Important
clarifications in section 3 regarding symmetric spaces | null | 10.1007/JHEP10(2020)065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider so-called Yang-Baxter deformations of bosonic string
sigma-models, based on an $R$-matrix solving the (modified) classical
Yang-Baxter equation. It is known that a unimodularity condition on $R$ is
sufficient for Weyl invariance at least to two loops (first order in
$\alpha'$). Here we ask what the necessary condition is. We find that in cases
where the matrix $(G+B)_{mn}$, constructed from the metric and $B$-field of the
undeformed background, is degenerate the unimodularity condition arising at one
loop can be replaced by weaker conditions. We further show that for
non-unimodular deformations satisfying the one-loop conditions the Weyl
invariance extends at least to two loops (first order in $\alpha'$). The
calculations are simplified by working in an $O(D,D)$-covariant doubled
formulation.
| [
{
"created": "Thu, 30 Jul 2020 18:00:07 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Aug 2020 12:07:04 GMT",
"version": "v2"
}
] | 2020-10-28 | [
[
"Hronek",
"Stanislav",
""
],
[
"Wulff",
"Linus",
""
]
] | We consider so-called Yang-Baxter deformations of bosonic string sigma-models, based on an $R$-matrix solving the (modified) classical Yang-Baxter equation. It is known that a unimodularity condition on $R$ is sufficient for Weyl invariance at least to two loops (first order in $\alpha'$). Here we ask what the necessary condition is. We find that in cases where the matrix $(G+B)_{mn}$, constructed from the metric and $B$-field of the undeformed background, is degenerate the unimodularity condition arising at one loop can be replaced by weaker conditions. We further show that for non-unimodular deformations satisfying the one-loop conditions the Weyl invariance extends at least to two loops (first order in $\alpha'$). The calculations are simplified by working in an $O(D,D)$-covariant doubled formulation. |
1601.03561 | Markus B. Fr\"ob | Markus B. Fr\"ob, Enric Verdaguer | Quantum corrections to the gravitational potentials of a point source
due to conformal fields in de Sitter | 30 pages, reference added, sign error corrected, misprints in
abstract and discussion corrected, matches published version (up to the
corrections) | JCAP 1603 (2016) 015 | 10.1088/1475-7516/2016/03/015 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the leading quantum corrections to the gravitational potentials in
a de Sitter background, due to the vacuum polarization from loops of conformal
fields. Our results are valid for arbitrary conformal theories, even strongly
interacting ones, and are expressed using the coefficients $b$ and $b'$
appearing in the trace anomaly. Apart from the de Sitter generalization of the
known flat-space results, we find two additional contributions: one which
depends on the finite coefficients of terms quadratic in the curvature
appearing in the renormalized effective action, and one which grows
logarithmically with physical distance. While the first contribution
corresponds to a rescaling of the effective mass, the second contribution leads
to a slower fall-off of the Newton potential at large distances, and is
potentially measurable.
| [
{
"created": "Thu, 14 Jan 2016 11:40:12 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2016 14:33:55 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jan 2017 19:05:01 GMT",
"version": "v3"
}
] | 2017-01-25 | [
[
"Fröb",
"Markus B.",
""
],
[
"Verdaguer",
"Enric",
""
]
] | We derive the leading quantum corrections to the gravitational potentials in a de Sitter background, due to the vacuum polarization from loops of conformal fields. Our results are valid for arbitrary conformal theories, even strongly interacting ones, and are expressed using the coefficients $b$ and $b'$ appearing in the trace anomaly. Apart from the de Sitter generalization of the known flat-space results, we find two additional contributions: one which depends on the finite coefficients of terms quadratic in the curvature appearing in the renormalized effective action, and one which grows logarithmically with physical distance. While the first contribution corresponds to a rescaling of the effective mass, the second contribution leads to a slower fall-off of the Newton potential at large distances, and is potentially measurable. |
1403.7139 | Maria Emilia Guimaraes | M. E. X. Guimaraes (IF/UFF), R. M. Luna (DF/UEL) and T. O. Rosa
(IF/UFF) | Topological Vertex, String Amplitudes and Spectral Functions of
Hyperbolic Geometry | Revised version. References added, results remain unchanged. arXiv
admin note: text overlap with arXiv:hep-th/0701156, arXiv:1105.4571,
arXiv:1206.0664 by other authors | null | 10.1140/epjc/s10052-014-2880-9 | null | hep-th gr-qc math.KT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the homological aspects of the connection between quantum string
generating function and the formal power series associated to the dimensions of
chains and homologies of suitable Lie algebras. Our analysis can be considered
as a new straightforward application of the machinery of modular forms and
spectral functions (with values in the congruence subgroup of $SL(2,{\mathbb
Z})$) to the partition functions of Lagrangian branes, refined vertex and open
string partition functions, represented by means of formal power series that
encode Lie algebra properties. The common feature in our examples lies in the
modular properties of the characters of certain representations of the
pertinent affine Lie algebras and in the role of Selberg-type spectral
functions of an hyperbolic three-geometry associated with $q$-series in the
computation of the string amplitudes.
| [
{
"created": "Thu, 27 Mar 2014 17:25:44 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Apr 2014 19:55:29 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Guimaraes",
"M. E. X.",
"",
"IF/UFF"
],
[
"Luna",
"R. M.",
"",
"DF/UEL"
],
[
"Rosa",
"T. O.",
"",
"IF/UFF"
]
] | We discuss the homological aspects of the connection between quantum string generating function and the formal power series associated to the dimensions of chains and homologies of suitable Lie algebras. Our analysis can be considered as a new straightforward application of the machinery of modular forms and spectral functions (with values in the congruence subgroup of $SL(2,{\mathbb Z})$) to the partition functions of Lagrangian branes, refined vertex and open string partition functions, represented by means of formal power series that encode Lie algebra properties. The common feature in our examples lies in the modular properties of the characters of certain representations of the pertinent affine Lie algebras and in the role of Selberg-type spectral functions of an hyperbolic three-geometry associated with $q$-series in the computation of the string amplitudes. |
2210.12490 | Shunhui Yao | Shunhui Yao, Yu Tian, Peng Yang and Hongbao Zhang | Baby Skyrmion in two-component holographic superfluids | version to appear in JHEP | J. High Energ. Phys. 2023, 55 (2023) | 10.1007/JHEP08(2023)055 | null | hep-th cond-mat.quant-gas | http://creativecommons.org/licenses/by/4.0/ | In the two-component Ginzburg-Landau theory of superfluidity, a pair of
fractional vortices form a composite type of topological defect, usually
referred to as a baby skyrmion. In this paper, we initiate the construction of
such a baby skyrmion in the holographic model of two-component superfluids. As
a result, two types of baby skyrmion configurations are found, where the
monopole-type of one is constructed directly by solving the static equations of
motion while the dipole-type of one is obtained by resorting to the time
evolution method. In addition, we find that the existence of these two types of
baby skyrmion depends on the inter-component coupling, reminiscent of the
situation in the baby skyrmion model.
| [
{
"created": "Sat, 22 Oct 2022 16:10:53 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 2022 16:53:41 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Aug 2023 11:24:15 GMT",
"version": "v3"
}
] | 2023-08-15 | [
[
"Yao",
"Shunhui",
""
],
[
"Tian",
"Yu",
""
],
[
"Yang",
"Peng",
""
],
[
"Zhang",
"Hongbao",
""
]
] | In the two-component Ginzburg-Landau theory of superfluidity, a pair of fractional vortices form a composite type of topological defect, usually referred to as a baby skyrmion. In this paper, we initiate the construction of such a baby skyrmion in the holographic model of two-component superfluids. As a result, two types of baby skyrmion configurations are found, where the monopole-type of one is constructed directly by solving the static equations of motion while the dipole-type of one is obtained by resorting to the time evolution method. In addition, we find that the existence of these two types of baby skyrmion depends on the inter-component coupling, reminiscent of the situation in the baby skyrmion model. |
0709.2899 | Sasha Polyakov | A. M. Polyakov | De Sitter Space and Eternity | 27 pages important comments added. references added | Nucl.Phys.B797:199-217,2008 | 10.1016/j.nuclphysb.2008.01.002 | PUPT-2244 | hep-th | null | This paper explores infrared quantum effects in the de Sitter space. The
notion of "eternal manifolds" is introduced and it is shown that in most cases
the de Sitter space doesn't belong to this class. It is unstable under small
perturbations which may cause a breakdown of the de Sitter symmetry. The de
Sitter string sigma model is discussed. It is argued that the gauge theory at
the complex coupling is dual to the matrix elements of vertex operators in the
de Sitter space, taken between the Bunch - Davies vacuum and the "out" state
without particles.The described infrared effects are likely to screen away the
cosmological constant.
| [
{
"created": "Tue, 18 Sep 2007 18:48:48 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Dec 2007 17:41:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Polyakov",
"A. M.",
""
]
] | This paper explores infrared quantum effects in the de Sitter space. The notion of "eternal manifolds" is introduced and it is shown that in most cases the de Sitter space doesn't belong to this class. It is unstable under small perturbations which may cause a breakdown of the de Sitter symmetry. The de Sitter string sigma model is discussed. It is argued that the gauge theory at the complex coupling is dual to the matrix elements of vertex operators in the de Sitter space, taken between the Bunch - Davies vacuum and the "out" state without particles.The described infrared effects are likely to screen away the cosmological constant. |
hep-th/9308158 | Ivan Kostov | Ivan K. Kostov | U(N) Gauge Theory and Lattice Strings | 26 pages, 8 figures not included, available by mail upon request,
T93-079 (talk at the Workshop on string theory, gauge theory and quantum
gravity, 28-29 April 1993, Trieste, Italy) | Nucl.Phys. B415 (1994) 29-70 | 10.1016/0550-3213(94)90066-3 | null | hep-th | null | We explain, in a slightly modified form, an old construction allowing to
reformulate the U(N) gauge theory defined on a D-dimensional lattice as a
theory of lattice strings (a statistical model of random surfaces). The world
surface of the lattice string is allowed to have pointlike singularities
(branch points) located not only at the sites of the lattice, but also on its
links and plaquettes. The strings become noninteracting when $N\to\infty$. In
this limit the statistical weight a world surface is given by exp[ $-$ area]
times a product of local factors associated with the branch points. In $D=4$
dimensions the gauge theory has a nondeconfining first order phase transition
dividing the weak and strong coupling phase. From the point of view of the
string theory the weak coupling phase is expected to be characterized by
spontaneous creation of ``windows'' on the world sheet of the string.
| [
{
"created": "Thu, 2 Sep 1993 17:07:30 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kostov",
"Ivan K.",
""
]
] | We explain, in a slightly modified form, an old construction allowing to reformulate the U(N) gauge theory defined on a D-dimensional lattice as a theory of lattice strings (a statistical model of random surfaces). The world surface of the lattice string is allowed to have pointlike singularities (branch points) located not only at the sites of the lattice, but also on its links and plaquettes. The strings become noninteracting when $N\to\infty$. In this limit the statistical weight a world surface is given by exp[ $-$ area] times a product of local factors associated with the branch points. In $D=4$ dimensions the gauge theory has a nondeconfining first order phase transition dividing the weak and strong coupling phase. From the point of view of the string theory the weak coupling phase is expected to be characterized by spontaneous creation of ``windows'' on the world sheet of the string. |
1304.7293 | Kiyoshi Kamimura | Carles Batlle, Joaquim Gomis and Kiyoshi Kamimura | Symmetries of the Free Schr\"odinger Equation in the Non-Commutative
Plane | null | SIGMA 10 (2014), 011, 15 pages | 10.3842/SIGMA.2014.011 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We study all the symmetries of the free Schr\"odinger equation in the
non-commutative plane. These symmetry transformations form an
infinite-dimensional Weyl algebra that appears naturally from a two-dimensional
Heisenberg algebra generated by Galilean boosts and momenta. These infinite
high symmetries could be useful for constructing non-relativistic interacting
higher spin theories. A finite-dimensional subalgebra is given by the
Schr\"odinger algebra which, besides the Galilei generators, contains also the
dilatation and the expansion. We consider the quantization of the symmetry
generators in both the reduced and extended phase spaces, and discuss the
relation between both approaches.
| [
{
"created": "Fri, 26 Apr 2013 22:03:27 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2013 12:21:44 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Aug 2013 20:28:28 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Nov 2013 23:39:05 GMT",
"version": "v4"
},
{
"created": "Tue, 28 Jan 2014 04:55:45 GMT",
"version": "v5"
},
{
"created": "Sat, 8 Feb 2014 07:01:25 GMT",
"version": "v6"
}
] | 2014-02-11 | [
[
"Batlle",
"Carles",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Kamimura",
"Kiyoshi",
""
]
] | We study all the symmetries of the free Schr\"odinger equation in the non-commutative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schr\"odinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches. |
1611.05906 | Willy Fischler | Tom Banks and Willy Fischler | Soft Gravitons and the Flat Space Limit of Anti-deSitter Space | 11 Pages, LaTeX 2e, v.2 New references. Corrected the unitarity
argument to take into account small phase space of multi-soft graviton cuts.
Expanded discussion of production of soft gravitons via production, decay and
re-scattering of high energy meta-stable states | null | null | RUNHETC-2016-15, UTTG-18-16 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that flat space amplitudes for the process $ 2 \to n$ gravitons at
center of mass energies $\sqrt{s}$ much less than the Planck scale, will
coincide approximately with amplitudes calculated from correlators of a
boundary CFT for AdS space of radius $R\gg L_P$, only when $n < R/L_P$ . For
larger values of $n$ in AdS space, insisting that all the incoming energy
enters "the arena" [arXiv:hep-th/9901079], implies the production of black
holes, whereas there is no black hole production in the flat space amplitudes.
We also argue, from unitarity, that flat space amplitudes for all $n$ are
necessary to reconstruct the complicated singularity at zero momentum in the $2
\to 2$ amplitude, which can therefore not be reproduced as the limit of an AdS
calculation. Applying similar reasoning to amplitudes for real black hole
production in flat space, we argue that unitarity of the flat space S-matrix
cannot be assessed or inferred from properties of CFT correlators.
| [
{
"created": "Thu, 17 Nov 2016 21:31:19 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Dec 2016 13:59:23 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Apr 2017 16:01:22 GMT",
"version": "v3"
}
] | 2017-04-11 | [
[
"Banks",
"Tom",
""
],
[
"Fischler",
"Willy",
""
]
] | We argue that flat space amplitudes for the process $ 2 \to n$ gravitons at center of mass energies $\sqrt{s}$ much less than the Planck scale, will coincide approximately with amplitudes calculated from correlators of a boundary CFT for AdS space of radius $R\gg L_P$, only when $n < R/L_P$ . For larger values of $n$ in AdS space, insisting that all the incoming energy enters "the arena" [arXiv:hep-th/9901079], implies the production of black holes, whereas there is no black hole production in the flat space amplitudes. We also argue, from unitarity, that flat space amplitudes for all $n$ are necessary to reconstruct the complicated singularity at zero momentum in the $2 \to 2$ amplitude, which can therefore not be reproduced as the limit of an AdS calculation. Applying similar reasoning to amplitudes for real black hole production in flat space, we argue that unitarity of the flat space S-matrix cannot be assessed or inferred from properties of CFT correlators. |
hep-th/0303215 | Zakkari | M. Mansour, E.H. Zakkari | Fractional spin through quantum affine algebras with vanishing central
charge | null | Int.J.Theor.Phys. 43 (2004) 1249-1260 | 10.1023/B:IJTP.0000048613.18311.f3 | null | hep-th | null | In this paper, we study the fractional decomposition of the quantum
enveloping affine algebras $U_Q(\hat A(n))$ and $U_Q(\hat{C}(n))$ with
vanishing central charge in the limit $Q\to q=e^{\frac{2i\pi}k}$ . This
decomposition is based on the bosonic representation and can be related to the
fractional supersymmetry and $k$-fermionic spin. The equivalence between the
quantum affine algebras and the classical ones in the fermionic realization is
also established.
| [
{
"created": "Tue, 25 Mar 2003 11:00:31 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Dec 2003 09:45:47 GMT",
"version": "v2"
}
] | 2014-10-07 | [
[
"Mansour",
"M.",
""
],
[
"Zakkari",
"E. H.",
""
]
] | In this paper, we study the fractional decomposition of the quantum enveloping affine algebras $U_Q(\hat A(n))$ and $U_Q(\hat{C}(n))$ with vanishing central charge in the limit $Q\to q=e^{\frac{2i\pi}k}$ . This decomposition is based on the bosonic representation and can be related to the fractional supersymmetry and $k$-fermionic spin. The equivalence between the quantum affine algebras and the classical ones in the fermionic realization is also established. |
hep-th/0307165 | Bo Feng | Ruth Britto and Bo Feng | N=1/2 Wess-Zumino model is renormalizable | 8 Pages, one Table and one Figure | Phys.Rev.Lett. 91 (2003) 201601 | 10.1103/PhysRevLett.91.201601 | null | hep-th | null | The Wess-Zumino model on N=1/2 nonanticommutative superspace, which contains
the dimension-6 term F^3, is shown to be renormalizable to all orders in
perturbation theory, upon adding F and F^2 terms to the original Lagrangian.
The renormalizability is possible, even with this higher-dimension operator,
because the Lagrangian is not hermitian. Such deformed field theories arise
naturally in string theory with a graviphoton background.
| [
{
"created": "Thu, 17 Jul 2003 20:28:13 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Nov 2003 21:52:12 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Britto",
"Ruth",
""
],
[
"Feng",
"Bo",
""
]
] | The Wess-Zumino model on N=1/2 nonanticommutative superspace, which contains the dimension-6 term F^3, is shown to be renormalizable to all orders in perturbation theory, upon adding F and F^2 terms to the original Lagrangian. The renormalizability is possible, even with this higher-dimension operator, because the Lagrangian is not hermitian. Such deformed field theories arise naturally in string theory with a graviphoton background. |
2007.15587 | Yu Hamada | Minoru Eto, Yu Hamada and Muneto Nitta | Topological structure of Nambu monopole in Two Higgs doublet models --
Fiber bundle, Dirac's quantization and dyon -- | 27pages, 3 figures. v2: minor revisions | null | 10.1103/PhysRevD.102.105018 | YGHP-20-05, KUNS-2826 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a topologically non-trivial structure of the Nambu monopole in two
Higgs doublet model (2HDM), which is a magnetic monopole attached by two
topologically stable $Z$ strings ($Z$ flux tubes) from two opposite sides. The
structure is in sharp contrast to the topological triviality of the Nambu
monopole in the standard model (SM), which is attached by a single
non-topological $Z$ string. It is found that the Nambu monopole in 2HDM
possesses the same fiber bundle structure with those of the `t Hooft-Polyakov
monopole and the Wu-Yang description of the Dirac monopole, as a result of the
fact that the electromagnetic gauge field is well-defined even inside the
strings and is non-trivially fibered around the monopole, while the Nambu
monopole in the SM is topologically trivial because electroweak gauge symmetry
is restored at the core of the string. Consequently, the Nambu monopole in 2HDM
can be regarded as an embedding of the 't Hooft-Polyakov monopole into the
$SU(2)_W$ gauge symmetry, and the Dirac's quantization condition always holds,
which is absent for the Nambu monopole in the SM. Furthermore, we construct a
dyon configuration attached with the two strings.
| [
{
"created": "Thu, 30 Jul 2020 16:49:08 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2020 16:57:41 GMT",
"version": "v2"
}
] | 2020-12-30 | [
[
"Eto",
"Minoru",
""
],
[
"Hamada",
"Yu",
""
],
[
"Nitta",
"Muneto",
""
]
] | We find a topologically non-trivial structure of the Nambu monopole in two Higgs doublet model (2HDM), which is a magnetic monopole attached by two topologically stable $Z$ strings ($Z$ flux tubes) from two opposite sides. The structure is in sharp contrast to the topological triviality of the Nambu monopole in the standard model (SM), which is attached by a single non-topological $Z$ string. It is found that the Nambu monopole in 2HDM possesses the same fiber bundle structure with those of the `t Hooft-Polyakov monopole and the Wu-Yang description of the Dirac monopole, as a result of the fact that the electromagnetic gauge field is well-defined even inside the strings and is non-trivially fibered around the monopole, while the Nambu monopole in the SM is topologically trivial because electroweak gauge symmetry is restored at the core of the string. Consequently, the Nambu monopole in 2HDM can be regarded as an embedding of the 't Hooft-Polyakov monopole into the $SU(2)_W$ gauge symmetry, and the Dirac's quantization condition always holds, which is absent for the Nambu monopole in the SM. Furthermore, we construct a dyon configuration attached with the two strings. |
hep-th/0508117 | Forough Nasseri | Forough Nasseri | Time variation of the fine structure constant in decrumpling or TVSD
model | 10 pages, accepted for publication in Int.J.Mod.Phys.D | Int.J.Mod.Phys.D16:899-907,2007 | 10.1142/S0218271807010493 | null | hep-th | null | Within the framework of a model universe with time variable space dimension
(TVSD), known as decrumpling or TVSD model, we study the time variation of the
fine structure constant. Using observational bounds on the present time
variation of the fine structure constant, we are able to obtain the present
time variation of spatial dimensions.
| [
{
"created": "Tue, 16 Aug 2005 13:53:33 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2006 12:02:28 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Mar 2006 18:01:38 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Mar 2006 08:38:38 GMT",
"version": "v4"
},
{
"created": "Fri, 20 Oct 2006 10:09:02 GMT",
"version": "v5"
}
] | 2008-11-26 | [
[
"Nasseri",
"Forough",
""
]
] | Within the framework of a model universe with time variable space dimension (TVSD), known as decrumpling or TVSD model, we study the time variation of the fine structure constant. Using observational bounds on the present time variation of the fine structure constant, we are able to obtain the present time variation of spatial dimensions. |
hep-th/0311151 | Robert Coquereaux | R. Coquereaux | The A2 Ocneanu quantum groupoid | Contribution to the conference: XV Colloquio Latinoamericano de
Algebra, Cocoyoc, Mexico, July 20th-26th, 2003. 22 pages. Version 2: One
notation was changed and the introduction was reshuffled | Algebraic Structures and Their Representations, Contemporary
Mathematics, Vol 376 (2005) pp 227-247 | 10.1090/conm/376/06960 | null | hep-th math.QA | null | Description of the smallest quantum groupoid associated with the A2 diagram.
From the talk: ``Quantum groupoids and Ocneanu bialgebras for Coxeter-Dynkin
systems'' given at the XV Colloquio Latinoamericano de Algebra, Cocoyoc,
Mexico, July 20th-26th, 2003.
| [
{
"created": "Mon, 17 Nov 2003 22:17:29 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Dec 2003 15:47:42 GMT",
"version": "v2"
}
] | 2018-09-12 | [
[
"Coquereaux",
"R.",
""
]
] | Description of the smallest quantum groupoid associated with the A2 diagram. From the talk: ``Quantum groupoids and Ocneanu bialgebras for Coxeter-Dynkin systems'' given at the XV Colloquio Latinoamericano de Algebra, Cocoyoc, Mexico, July 20th-26th, 2003. |
2301.10356 | Hajime Otsuka | Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu, Hajime Otsuka, Shohei
Takada, Hikaru Uchida | Remark on modular weights in low-energy effective field theory from type
II string theory | 22 pages, v2: published version | null | 10.1007/JHEP04(2023)003 | EPHOU-23-003, KYUSHU-HET-255 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We revisit the modular weights in type IIB magnetized D-brane models. The
simple analysis of wave function shows that the four-dimensional matter fields
have the modular weight -1/2, but it may shift as one in type IIA intersecting
D-brane models. For example, the localized gauge flux as well as the localized
curvature can shift the modular weight in the magnetized D-brane models. Such
corrections do not affect physical couplings such as physical Yukawa couplings.
However, it leads to differences in supersymmetry breaking sfermion masses,
which depend on the modular weights, although the $A$-term coefficients and the
sum of sfermion masses squared seem to be the same between two models.
| [
{
"created": "Tue, 24 Jan 2023 23:58:51 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Apr 2023 00:46:33 GMT",
"version": "v2"
}
] | 2023-04-05 | [
[
"Kikuchi",
"Shota",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Nasu",
"Kaito",
""
],
[
"Otsuka",
"Hajime",
""
],
[
"Takada",
"Shohei",
""
],
[
"Uchida",
"Hikaru",
""
]
] | We revisit the modular weights in type IIB magnetized D-brane models. The simple analysis of wave function shows that the four-dimensional matter fields have the modular weight -1/2, but it may shift as one in type IIA intersecting D-brane models. For example, the localized gauge flux as well as the localized curvature can shift the modular weight in the magnetized D-brane models. Such corrections do not affect physical couplings such as physical Yukawa couplings. However, it leads to differences in supersymmetry breaking sfermion masses, which depend on the modular weights, although the $A$-term coefficients and the sum of sfermion masses squared seem to be the same between two models. |
hep-th/0008002 | Sangmin Lee | Youngjai Kiem, Sangmin Lee, Jaemo Park | Noncommutative Field Theory from String Theory: Two-loop Analysis | 25 pages, 3 figures; v2. a reference added and typos corrected.
Version to appear in Nuclear Physics B | Nucl.Phys.B594:169-189,2001 | 10.1016/S0550-3213(00)00673-8 | KIAS-P00050, IASSNS-HEP-00/57 | hep-th | null | Noncommutative \phi^3 field theory in six dimensions exhibits the logarithmic
UV/IR mixing at the two-loop order. We show that open string theory in the
presence of constant background NS-NS two-form field yields the same amplitude
upon taking a decoupling limit. The stretched string picture proposed on the
basis of one-loop analysis naturally generalizes to the two-loop amplitudes in
consideration. Our string theory formulation can incorporate the closed string
insertions as well as open string insertions. Furthermore, the analysis of the
world-sheet partition function and propagators can be straightforwardly
generalized to Riemann surfaces with genus zero but with an arbitrary number of
boundaries.
| [
{
"created": "Tue, 1 Aug 2000 04:41:00 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Nov 2000 02:26:22 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kiem",
"Youngjai",
""
],
[
"Lee",
"Sangmin",
""
],
[
"Park",
"Jaemo",
""
]
] | Noncommutative \phi^3 field theory in six dimensions exhibits the logarithmic UV/IR mixing at the two-loop order. We show that open string theory in the presence of constant background NS-NS two-form field yields the same amplitude upon taking a decoupling limit. The stretched string picture proposed on the basis of one-loop analysis naturally generalizes to the two-loop amplitudes in consideration. Our string theory formulation can incorporate the closed string insertions as well as open string insertions. Furthermore, the analysis of the world-sheet partition function and propagators can be straightforwardly generalized to Riemann surfaces with genus zero but with an arbitrary number of boundaries. |
1012.0716 | Timothy J. Hollowood | Timothy J. Hollowood and J. Luis Miramontes | Classical and Quantum Solitons in the Symmetric Space Sine-Gordon
Theories | 53 pages, additional comments and small errors corrected, final
journal version | null | 10.1007/JHEP04(2011)119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the soliton solutions in the symmetric space sine-Gordon
theories. The latter are a series of integrable field theories in
1+1-dimensions which are associated to a symmetric space F/G, and are related
via the Pohlmeyer reduction to theories of strings moving on symmetric spaces.
We show that the solitons are kinks that carry an internal moduli space that
can be identified with a particular co-adjoint orbit of the unbroken subgroup H
of G. Classically the solitons come in a continuous spectrum which encompasses
the perturbative fluctuations of the theory as the kink charge becomes small.
We show that the solitons can be quantized by allowing the collective
coordinates to be time-dependent to yield a form of quantum mechanics on the
co-adjoint orbit. The quantum states correspond to symmetric tensor
representations of the symmetry group H and have the interpretation of a fuzzy
geometric version of the co-adjoint orbit. The quantized finite tower of
soliton states includes the perturbative modes at the base.
| [
{
"created": "Fri, 3 Dec 2010 12:29:04 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jan 2011 12:37:52 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Mar 2011 09:03:49 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Apr 2011 12:15:34 GMT",
"version": "v4"
}
] | 2015-05-20 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
]
] | We construct the soliton solutions in the symmetric space sine-Gordon theories. The latter are a series of integrable field theories in 1+1-dimensions which are associated to a symmetric space F/G, and are related via the Pohlmeyer reduction to theories of strings moving on symmetric spaces. We show that the solitons are kinks that carry an internal moduli space that can be identified with a particular co-adjoint orbit of the unbroken subgroup H of G. Classically the solitons come in a continuous spectrum which encompasses the perturbative fluctuations of the theory as the kink charge becomes small. We show that the solitons can be quantized by allowing the collective coordinates to be time-dependent to yield a form of quantum mechanics on the co-adjoint orbit. The quantum states correspond to symmetric tensor representations of the symmetry group H and have the interpretation of a fuzzy geometric version of the co-adjoint orbit. The quantized finite tower of soliton states includes the perturbative modes at the base. |
0904.2836 | A. Tureanu | T. C. Adorno, M. C. Baldiotti, M. Chaichian, D. M. Gitman, A. Tureanu | Dirac Equation in Noncommutative Space for Hydrogen Atom | 9 pages, 1 figure; typos corrected | Phys.Lett.B682:235-239,2009 | 10.1016/j.physletb.2009.11.003 | HIP-2009-10/TH | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the energy levels of a hydrogen-like atom in the framework of
$\theta $-modified, due to space noncommutativity, Dirac equation with Coulomb
field. It is shown that on the noncommutative (NC) space the degeneracy of the
levels $2S_{1/2}, 2P_{1/2}$ and $ 2P_{3/2}$ is lifted completely, such that new
transition channels are allowed.
| [
{
"created": "Sat, 18 Apr 2009 09:19:58 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jul 2009 10:13:39 GMT",
"version": "v2"
}
] | 2009-11-23 | [
[
"Adorno",
"T. C.",
""
],
[
"Baldiotti",
"M. C.",
""
],
[
"Chaichian",
"M.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Tureanu",
"A.",
""
]
] | We consider the energy levels of a hydrogen-like atom in the framework of $\theta $-modified, due to space noncommutativity, Dirac equation with Coulomb field. It is shown that on the noncommutative (NC) space the degeneracy of the levels $2S_{1/2}, 2P_{1/2}$ and $ 2P_{3/2}$ is lifted completely, such that new transition channels are allowed. |
1104.0700 | Till Bargheer | Till Bargheer, Niklas Beisert, Florian Loebbert | Exact Superconformal and Yangian Symmetry of Scattering Amplitudes | 28 Pages, 6 Figures. Invited review for a special issue of Journal of
Physics A devoted to "Scattering Amplitudes in Gauge Theories", v2:
references added | J. Phys. A44, 454012 (2011) | 10.1088/1751-8113/44/45/454012 | AEI-2011-016; LPT ENS-11/12; UUITP-11/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review recent progress in the understanding of symmetries for scattering
amplitudes in N=4 superconformal Yang-Mills theory. It is summarized how the
superficial breaking of superconformal symmetry by collinear anomalies and the
renormalization process can be cured at tree and loop level. This is achieved
by correcting the representation of the superconformal group on amplitudes.
Moreover, we comment on the Yangian symmetry of scattering amplitudes and how
it inherits these correction terms from the ordinary Lie algebra symmetry.
Invariants under this algebra and their relation to the Grassmannian generating
function for scattering amplitudes are discussed. Finally, parallel
developments in N=6 superconformal Chern-Simons theory are summarized. This
article is an invited review for a special issue of Journal of Physics A
devoted to Scattering Amplitudes in Gauge Theories.
| [
{
"created": "Mon, 4 Apr 2011 22:16:29 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2011 23:58:21 GMT",
"version": "v2"
}
] | 2015-03-19 | [
[
"Bargheer",
"Till",
""
],
[
"Beisert",
"Niklas",
""
],
[
"Loebbert",
"Florian",
""
]
] | We review recent progress in the understanding of symmetries for scattering amplitudes in N=4 superconformal Yang-Mills theory. It is summarized how the superficial breaking of superconformal symmetry by collinear anomalies and the renormalization process can be cured at tree and loop level. This is achieved by correcting the representation of the superconformal group on amplitudes. Moreover, we comment on the Yangian symmetry of scattering amplitudes and how it inherits these correction terms from the ordinary Lie algebra symmetry. Invariants under this algebra and their relation to the Grassmannian generating function for scattering amplitudes are discussed. Finally, parallel developments in N=6 superconformal Chern-Simons theory are summarized. This article is an invited review for a special issue of Journal of Physics A devoted to Scattering Amplitudes in Gauge Theories. |
1308.3581 | Marc Magro | Francois Delduc, Marc Magro, Benoit Vicedo | On classical q-deformations of integrable sigma-models | 38 pages, 1 figure | JHEP11(2013)192 | 10.1007/JHEP11(2013)192 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A procedure is developed for constructing deformations of integrable
sigma-models which are themselves classically integrable. When applied to the
principal chiral model on any compact Lie group F, one recovers the Yang-Baxter
sigma-model introduced a few years ago by C. Klimcik. In the case of the
symmetric space sigma-model on F/G we obtain a new one-parameter family of
integrable sigma-models. The actions of these models correspond to a
deformation of the target space geometry and include a torsion term. An
interesting feature of the construction is the q-deformation of the symmetry
corresponding to left multiplication in the original models, which becomes
replaced by a classical q-deformed Poisson-Hopf algebra. Another noteworthy
aspect of the deformation in the coset sigma-model case is that it interpolates
between a compact and a non-compact symmetric space. This is exemplified in the
case of the SU(2)/U(1) coset sigma-model which interpolates all the way to the
SU(1,1)/U(1) coset sigma-model.
| [
{
"created": "Fri, 16 Aug 2013 09:20:29 GMT",
"version": "v1"
}
] | 2014-01-16 | [
[
"Delduc",
"Francois",
""
],
[
"Magro",
"Marc",
""
],
[
"Vicedo",
"Benoit",
""
]
] | A procedure is developed for constructing deformations of integrable sigma-models which are themselves classically integrable. When applied to the principal chiral model on any compact Lie group F, one recovers the Yang-Baxter sigma-model introduced a few years ago by C. Klimcik. In the case of the symmetric space sigma-model on F/G we obtain a new one-parameter family of integrable sigma-models. The actions of these models correspond to a deformation of the target space geometry and include a torsion term. An interesting feature of the construction is the q-deformation of the symmetry corresponding to left multiplication in the original models, which becomes replaced by a classical q-deformed Poisson-Hopf algebra. Another noteworthy aspect of the deformation in the coset sigma-model case is that it interpolates between a compact and a non-compact symmetric space. This is exemplified in the case of the SU(2)/U(1) coset sigma-model which interpolates all the way to the SU(1,1)/U(1) coset sigma-model. |
2310.16887 | Alexios P. Polychronakos | Alexios P. Polychronakos and Konstantinos Sfetsos | Phase transitions in the decomposition of $SU(N)$ representations | Version published in NPB, extra references; 35 pages, 6 figures | null | null | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the multiplicity of irreducible representations in the decomposition
of $n$ fundamentals of $SU(N)$ weighted by a power of their dimension in the
large $n$ and large $N$ double scaling limit. A nontrivial scaling is obtained
by keeping $n/N^2$ fixed, which plays the role of an order parameter. We find
that the system generically undergoes a fourth order phase transition in this
parameter, from a dense phase to a dilute phase. The transition is enhanced to
third order for the unweighted multiplicity, and disappears altogether when
weighting with the first power of the dimension. This corresponds to the
infinite temperature partition function of non-Abelian ferromagnets, and the
results should be relevant to the thermodynamic limit of such ferromagnets at
high temperatures.
| [
{
"created": "Wed, 25 Oct 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2023 17:09:34 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jan 2024 00:43:28 GMT",
"version": "v3"
},
{
"created": "Mon, 22 Jan 2024 22:33:05 GMT",
"version": "v4"
}
] | 2024-01-24 | [
[
"Polychronakos",
"Alexios P.",
""
],
[
"Sfetsos",
"Konstantinos",
""
]
] | We study the multiplicity of irreducible representations in the decomposition of $n$ fundamentals of $SU(N)$ weighted by a power of their dimension in the large $n$ and large $N$ double scaling limit. A nontrivial scaling is obtained by keeping $n/N^2$ fixed, which plays the role of an order parameter. We find that the system generically undergoes a fourth order phase transition in this parameter, from a dense phase to a dilute phase. The transition is enhanced to third order for the unweighted multiplicity, and disappears altogether when weighting with the first power of the dimension. This corresponds to the infinite temperature partition function of non-Abelian ferromagnets, and the results should be relevant to the thermodynamic limit of such ferromagnets at high temperatures. |
hep-th/9402078 | Juergen Baacke | J. Baacke and S. Junker | Quantum fluctuations of the electroweak sphaleron: Erratum and Addendum | 4 pages, Dortmund preprint DO-TH-93/19EA | Phys.Rev. D50 (1994) 4227-4228 | 10.1103/PhysRevD.50.4227 | null | hep-th hep-ph | null | We correct an error in our treatment of the tadpole contribution to the
fluctuation determinant of the sphaleron, and also a minor mistake in a
previous estimate. Thereby the overall agreement between the two existing exact
computations and their consistency with the estimate is improved considerably.
| [
{
"created": "Mon, 14 Feb 1994 14:57:58 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Baacke",
"J.",
""
],
[
"Junker",
"S.",
""
]
] | We correct an error in our treatment of the tadpole contribution to the fluctuation determinant of the sphaleron, and also a minor mistake in a previous estimate. Thereby the overall agreement between the two existing exact computations and their consistency with the estimate is improved considerably. |
hep-th/9201021 | null | J. Russo and A.A. Tseytlin | Scalar-Tensor Quantum Gravity in Two Dimensions | 18 pages | Nucl.Phys.B382:259-275,1992 | 10.1016/0550-3213(92)90187-G | null | hep-th | null | We discuss some classical and quantum properties of 2d gravity models
involving metric and a scalar field. Different models are parametrized in terms
of a scalar potential. We show that a general Liouville-type model with
exponential potential and linear curvature coupling is renormalisable at the
quantum level while a particular model (corresponding to D=2 graviton-dilaton
string effective action and having a black hole solution) is finite. We use the
condition of a ``split" Weyl symmetry to suggest possible expressions for the
``effective" action which includes the quantum anomaly term.
| [
{
"created": "Sun, 12 Jan 1992 01:51:00 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jan 1992 19:29:00 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Russo",
"J.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We discuss some classical and quantum properties of 2d gravity models involving metric and a scalar field. Different models are parametrized in terms of a scalar potential. We show that a general Liouville-type model with exponential potential and linear curvature coupling is renormalisable at the quantum level while a particular model (corresponding to D=2 graviton-dilaton string effective action and having a black hole solution) is finite. We use the condition of a ``split" Weyl symmetry to suggest possible expressions for the ``effective" action which includes the quantum anomaly term. |
hep-th/0105100 | Carlos F. Sopuerta | Antonio Campos and Carlos F. Sopuerta (RCG, Portsmouth U.) | Bulk effects in the cosmological dynamics of brane-world scenarios | 13 pages, Revtex v3.0, 8 figures | Phys.Rev.D64:104011,2001 | 10.1103/PhysRevD.64.104011 | null | hep-th astro-ph gr-qc hep-ph | null | In this paper we deal with the cosmological dynamics of Randall-Sundrum
brane-world type scenarios in which the five-dimensional Weyl tensor has a
non-vanishing projection onto the three-brane where matter fields are confined.
Using dynamical systems techniques, we study how the state space of
Friedmann-Lemaitre-Robertson-Walker (FLRW) and Bianchi type I cosmological
models is affected by the bulk Weyl tensor, focusing in the differences that
appear with respect to general relativity and also Randall-Sundrum cosmological
scenarios without the Weyl tensor contribution.
| [
{
"created": "Fri, 11 May 2001 10:36:42 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Campos",
"Antonio",
"",
"RCG, Portsmouth U."
],
[
"Sopuerta",
"Carlos F.",
"",
"RCG, Portsmouth U."
]
] | In this paper we deal with the cosmological dynamics of Randall-Sundrum brane-world type scenarios in which the five-dimensional Weyl tensor has a non-vanishing projection onto the three-brane where matter fields are confined. Using dynamical systems techniques, we study how the state space of Friedmann-Lemaitre-Robertson-Walker (FLRW) and Bianchi type I cosmological models is affected by the bulk Weyl tensor, focusing in the differences that appear with respect to general relativity and also Randall-Sundrum cosmological scenarios without the Weyl tensor contribution. |
1808.08972 | Olaf Lechtenfeld | Olaf Lechtenfeld, Alexander D. Popov | Skyrme and Faddeev models in the low-energy limit of 4d Yang-Mills-Higgs
theories | 1+11 pages; v2: substantially rewritten with emphasis on cases of
non-trivial moduli spaces of vacua | null | 10.1016/j.nuclphysb.2019.114675 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Firstly, we consider Yang-Mills theory on ${\mathbb R}^{3,1}$ with an adjoint
Higgs field spontaneously breaking a compact gauge group $G$ to a subgroup $H$,
so that the Higgs vacuum manifold forms the coset $G/H$. It is shown that in
the low-energy limit, when the Higgs vacuum value is large, the 4d
Yang-Mills-Higgs theory reduces to the Faddeev sigma model on ${\mathbb
R}^{3,1}$ with $G/H$ as target. Its action contains the standard two-derivative
sigma-model term as well as the four-derivative Skyrme-type term, which
stabilizes solutions against scaling. Secondly, we put the Higgs field in the
bi-fundamental representation of $G=\textrm{U}_+(N)\times\textrm{U}_-(N)$,
realizing the simplest $A_2$-type quiver gauge theory. Breaking $G$ to
$H{=}\,\textrm{diag}(G)$, the vacuum manifold $G/H\cong\textrm{U}(N)$ is a
group. In this case, when the Higgs vacuum value is large, the 4d $A_2$-quiver
gauge theory reduces to the Skyrme sigma model on ${\mathbb R}^{3,1}$ with
U$(N)$ as target. Thus, both the Skyrme and the Faddeev model arise as
effective field theories in the infrared of Yang-Mills-Higgs models.
| [
{
"created": "Mon, 27 Aug 2018 18:00:27 GMT",
"version": "v1"
},
{
"created": "Fri, 24 May 2019 10:32:36 GMT",
"version": "v2"
}
] | 2019-07-24 | [
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
]
] | Firstly, we consider Yang-Mills theory on ${\mathbb R}^{3,1}$ with an adjoint Higgs field spontaneously breaking a compact gauge group $G$ to a subgroup $H$, so that the Higgs vacuum manifold forms the coset $G/H$. It is shown that in the low-energy limit, when the Higgs vacuum value is large, the 4d Yang-Mills-Higgs theory reduces to the Faddeev sigma model on ${\mathbb R}^{3,1}$ with $G/H$ as target. Its action contains the standard two-derivative sigma-model term as well as the four-derivative Skyrme-type term, which stabilizes solutions against scaling. Secondly, we put the Higgs field in the bi-fundamental representation of $G=\textrm{U}_+(N)\times\textrm{U}_-(N)$, realizing the simplest $A_2$-type quiver gauge theory. Breaking $G$ to $H{=}\,\textrm{diag}(G)$, the vacuum manifold $G/H\cong\textrm{U}(N)$ is a group. In this case, when the Higgs vacuum value is large, the 4d $A_2$-quiver gauge theory reduces to the Skyrme sigma model on ${\mathbb R}^{3,1}$ with U$(N)$ as target. Thus, both the Skyrme and the Faddeev model arise as effective field theories in the infrared of Yang-Mills-Higgs models. |
hep-th/0406186 | Maro Cvitan | M. Cvitan, S. Pallua, P. Prester | Conformal entropy as a consequence of the properties of stationary
Killing horizons | 6 pages, minor changes and rearrangements | Phys.Rev. D70 (2004) 084043 | 10.1103/PhysRevD.70.084043 | ZTF 04-03 | hep-th | null | We show that microscopic black hole entropy formula based on Virasoro algebra
can be derived from usual properties of stationary Killing horizons alone and
absence of singularities of curvature invariants on them. In such a way some
usual additional assumptions are shown to be fulfilled. In addition, for all
quantities power expansion near horizon and thus explicit insight of the
limiting procedure is given. More important the near horizon conformal symmetry
proposed by Carlip together with its consequences on microscopic entropy is
given a clear geometric origin.
| [
{
"created": "Tue, 22 Jun 2004 12:42:35 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 2004 19:12:57 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Cvitan",
"M.",
""
],
[
"Pallua",
"S.",
""
],
[
"Prester",
"P.",
""
]
] | We show that microscopic black hole entropy formula based on Virasoro algebra can be derived from usual properties of stationary Killing horizons alone and absence of singularities of curvature invariants on them. In such a way some usual additional assumptions are shown to be fulfilled. In addition, for all quantities power expansion near horizon and thus explicit insight of the limiting procedure is given. More important the near horizon conformal symmetry proposed by Carlip together with its consequences on microscopic entropy is given a clear geometric origin. |
1905.07864 | Kiminad Mamo | Kiminad A. Mamo, Ismail Zahed | Deep Inelastic Scattering on an Extremal RN-AdS Black Hole II:
Holographic Fermi Surface | 26 pages, 7 figures; 30 pages, 12 figures, a new section VII is added
where a comparison to the experimental data is made with good agreement | Phys. Rev. D 101, 066014 (2020) | 10.1103/PhysRevD.101.066014 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider deep inelastic scattering (DIS) on a dense nucleus described as
an extremal RN-AdS black hole with holographic quantum fermions in the bulk. We
evaluate the 1-loop fermion contribution to the R-current on the charged black
hole, and map it on scattering off a Fermi surface of a dense and large nucleus
with fixed atomic number. Near the black hole horizon, the geometry is that of
AdS$_2\times $R$^3$ where the fermions develop an emergent Fermi surface with
anomalous dimensions. DIS scattering off these fermions yields to anomalous
partonic distributions mostly at large-x, as well as modified hard scattering
rules. The pertinent R-ratio for the black hole is discussed. For comparison,
the structure functions and the R-ratio in the probe or dilute limit with no
back-reaction on the geometry, are also derived. We formulate a hybrid
holographic model for DIS scattering on heavy and light nuclei, which compares
favorably to the existing data for Pb, Au, Fe, C and He over a wide range of
parton-x.
| [
{
"created": "Mon, 20 May 2019 04:11:58 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Dec 2019 18:12:23 GMT",
"version": "v2"
}
] | 2020-03-25 | [
[
"Mamo",
"Kiminad A.",
""
],
[
"Zahed",
"Ismail",
""
]
] | We consider deep inelastic scattering (DIS) on a dense nucleus described as an extremal RN-AdS black hole with holographic quantum fermions in the bulk. We evaluate the 1-loop fermion contribution to the R-current on the charged black hole, and map it on scattering off a Fermi surface of a dense and large nucleus with fixed atomic number. Near the black hole horizon, the geometry is that of AdS$_2\times $R$^3$ where the fermions develop an emergent Fermi surface with anomalous dimensions. DIS scattering off these fermions yields to anomalous partonic distributions mostly at large-x, as well as modified hard scattering rules. The pertinent R-ratio for the black hole is discussed. For comparison, the structure functions and the R-ratio in the probe or dilute limit with no back-reaction on the geometry, are also derived. We formulate a hybrid holographic model for DIS scattering on heavy and light nuclei, which compares favorably to the existing data for Pb, Au, Fe, C and He over a wide range of parton-x. |
hep-th/0201087 | Josep Llosa | J. Llosa | Comment on "Canonical formalism for Lagrangians with nonlocality of
finite extent" | 8 pages, 1 figure Submitted to Phys. Rev. A | null | 10.1103/PhysRevA.67.016101 | ffn/02001-REL | hep-th | null | We show by some counterexamples that Lagrangian sysytems with nonlocality of
finite extent are not necessarily unstable.
| [
{
"created": "Mon, 14 Jan 2002 14:05:59 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Llosa",
"J.",
""
]
] | We show by some counterexamples that Lagrangian sysytems with nonlocality of finite extent are not necessarily unstable. |
0806.0619 | Kazuya Koyama | Frederico Arroja, Shuntaro Mizuno, Kazuya Koyama | Non-gaussianity from the bispectrum in general multiple field inflation | 16 pages, no figure | JCAP 0808:015,2008 | 10.1088/1475-7516/2008/08/015 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the non-gaussianity from the bispectrum in multi-field inflation
models with a general kinetic term. The models include the multi-field
K-inflation and the multi-field Dirac-Born-Infeld (DBI) inflation as special
cases. We find that, in general, the sound speeds for the adiabatic and entropy
perturbations are different and they can be smaller than 1. Then the
non-gaussianity can be enhanced. The multi-field DBI-inflation is shown to be a
special case where both sound speeds are the same due to a special form of the
kinetic term. We derive the exact second and third order actions including
metric perturbations. In the small sound speed limit and at leading order in
the slow-roll expansion, we derive the three point function for the curvature
perturbation which depends on both adiabatic and entropy perturbations. The
contribution from the entropy perturbations has a different momentum dependence
if the sound speed for the entropy perturbations is different from the
adiabatic one, which provides a possibility to distinguish the multi-field
models from single field models. On the other hand, in the multi-field DBI
case, the contribution from the entropy perturbations has the same momentum
dependence as the pure adiabatic contributions and it only changes the
amplitude of the three point function. This could help to ease the constraints
on the DBI-inflation models.
| [
{
"created": "Wed, 4 Jun 2008 17:38:41 GMT",
"version": "v1"
}
] | 2011-02-07 | [
[
"Arroja",
"Frederico",
""
],
[
"Mizuno",
"Shuntaro",
""
],
[
"Koyama",
"Kazuya",
""
]
] | We study the non-gaussianity from the bispectrum in multi-field inflation models with a general kinetic term. The models include the multi-field K-inflation and the multi-field Dirac-Born-Infeld (DBI) inflation as special cases. We find that, in general, the sound speeds for the adiabatic and entropy perturbations are different and they can be smaller than 1. Then the non-gaussianity can be enhanced. The multi-field DBI-inflation is shown to be a special case where both sound speeds are the same due to a special form of the kinetic term. We derive the exact second and third order actions including metric perturbations. In the small sound speed limit and at leading order in the slow-roll expansion, we derive the three point function for the curvature perturbation which depends on both adiabatic and entropy perturbations. The contribution from the entropy perturbations has a different momentum dependence if the sound speed for the entropy perturbations is different from the adiabatic one, which provides a possibility to distinguish the multi-field models from single field models. On the other hand, in the multi-field DBI case, the contribution from the entropy perturbations has the same momentum dependence as the pure adiabatic contributions and it only changes the amplitude of the three point function. This could help to ease the constraints on the DBI-inflation models. |
1307.7267 | Paul Chesler | Allan Adams, Paul M. Chesler and Hong Liu | Holographic turbulence | 6 pages, 3 figures | Phys. Rev. Lett. 112, 151602 (2014) | 10.1103/PhysRevLett.112.151602 | null | hep-th gr-qc physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct turbulent black holes in asymptotically AdS_4 spacetime by
numerically solving Einstein equations. Both the dual holographic fluid and
bulk geometry display signatures of an inverse cascade with the bulk geometry
being well approximated by the fluid/gravity gradient expansion. We argue that
statistically steady-state black holes dual to d dimensional turbulent flows
have horizons which are approximately fractal with fractal dimension D=d+4/3.
| [
{
"created": "Sat, 27 Jul 2013 14:45:43 GMT",
"version": "v1"
}
] | 2014-04-23 | [
[
"Adams",
"Allan",
""
],
[
"Chesler",
"Paul M.",
""
],
[
"Liu",
"Hong",
""
]
] | We construct turbulent black holes in asymptotically AdS_4 spacetime by numerically solving Einstein equations. Both the dual holographic fluid and bulk geometry display signatures of an inverse cascade with the bulk geometry being well approximated by the fluid/gravity gradient expansion. We argue that statistically steady-state black holes dual to d dimensional turbulent flows have horizons which are approximately fractal with fractal dimension D=d+4/3. |
1508.04380 | Mu-In Park | Carlos Arg\"uelles, Nicol\'as Grandi, and Mu-In Park | Complete Classification of Four-Dimensional Black Hole and Membrane
Solutions in IR-modified Ho\v{r}ava Gravity | Accepted in JHEP, Typos corrected | J. High Energ. Phys. (2015) 2015: 100 | 10.1007/JHEP10(2015)100 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ho\v{r}ava gravity has been proposed as a renormalizable, higher-derivative
gravity without ghost problems, by considering different scaling dimensions for
space and time. In the non-relativistic higher-derivative generalization of
Einstein gravity, the meaning and physical properties of black hole and
membrane space-times are quite different from the conventional ones. Here, we
study the singularity and horizon structures of such geometries in IR-modified
Ho\v{r}ava gravity, where the so-called "detailed balance" condition is softly
broken in IR. We classify all the viable static solutions without naked
singularities and study its close connection to non-singular cosmology
solutions. We find that, in addition to the usual point-like singularity at
$r=0$, there exists a "surface-like" curvature singularity at finite $r=r_S$
which is the cutting edge of the real-valued space-time. The degree of
divergence of such singularities is milder than those of general relativity,
and the Hawking temperature of the horizons diverges when they coincide with
the singularities. As a byproduct we find that, in addition to the usual
"asymptotic limit," a consistent flow of coupling constants, that we called "GR
flow limit," is needed in order to recover general relativity in the IR.
| [
{
"created": "Tue, 18 Aug 2015 17:02:12 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Aug 2015 05:33:10 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Sep 2015 14:54:10 GMT",
"version": "v3"
}
] | 2017-10-10 | [
[
"Argüelles",
"Carlos",
""
],
[
"Grandi",
"Nicolás",
""
],
[
"Park",
"Mu-In",
""
]
] | Ho\v{r}ava gravity has been proposed as a renormalizable, higher-derivative gravity without ghost problems, by considering different scaling dimensions for space and time. In the non-relativistic higher-derivative generalization of Einstein gravity, the meaning and physical properties of black hole and membrane space-times are quite different from the conventional ones. Here, we study the singularity and horizon structures of such geometries in IR-modified Ho\v{r}ava gravity, where the so-called "detailed balance" condition is softly broken in IR. We classify all the viable static solutions without naked singularities and study its close connection to non-singular cosmology solutions. We find that, in addition to the usual point-like singularity at $r=0$, there exists a "surface-like" curvature singularity at finite $r=r_S$ which is the cutting edge of the real-valued space-time. The degree of divergence of such singularities is milder than those of general relativity, and the Hawking temperature of the horizons diverges when they coincide with the singularities. As a byproduct we find that, in addition to the usual "asymptotic limit," a consistent flow of coupling constants, that we called "GR flow limit," is needed in order to recover general relativity in the IR. |
hep-th/0009162 | Musongela Lubo | M.Lubo | Thermodynamic implications of some unusual quantum theories | 30 pages, 4 figures. Some typographical errors have been corrected.
The presentation is lighter (some results have been put in an appendix, the
number of figures has been reduced). Some conclusions have been modified | null | null | null | hep-th | null | Various deformations of the position-momentum algebras operators have been
proposed. Their implications for single systems like the hydrogen atom or the
harmonic oscillator have been addressed. In this paper we investigate the
consequences of some of these algebras for macroscopic systems. The key point
of our analysis lies in the fact that the modification of the Heisenberg
uncertainty relations present in these theories changes the volume of the
elementary cell in the hamiltonian phase space and so the measure needed to
compute partition functions.
The thermodynamics of a non interacting gas are studied for two members of
the Kempf-Mangano-Mann (K.M.M.) deformations. It is shown that the theory which
exhibits a minimal uncertainty in length predicts a new behavior at high
temperature while the one with a minimal uncertainty in momentum displays
unusual features for huge volumes. In the second model negative pressures are
obtained and mixing two different gases does not necessarily increase the
entropy . This suggests a possible violation of the second law of
thermodynamics. Potential consequences of these models in the evolution of the
early universe are briefly discussed.
Constructing the Einstein model of a solid for the q deformed oscillator, we
find that the subset of eigenstates whose energies are bounded from above leads
to a divergent partition function.
| [
{
"created": "Thu, 21 Sep 2000 10:08:58 GMT",
"version": "v1"
},
{
"created": "Fri, 4 May 2001 09:09:49 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Lubo",
"M.",
""
]
] | Various deformations of the position-momentum algebras operators have been proposed. Their implications for single systems like the hydrogen atom or the harmonic oscillator have been addressed. In this paper we investigate the consequences of some of these algebras for macroscopic systems. The key point of our analysis lies in the fact that the modification of the Heisenberg uncertainty relations present in these theories changes the volume of the elementary cell in the hamiltonian phase space and so the measure needed to compute partition functions. The thermodynamics of a non interacting gas are studied for two members of the Kempf-Mangano-Mann (K.M.M.) deformations. It is shown that the theory which exhibits a minimal uncertainty in length predicts a new behavior at high temperature while the one with a minimal uncertainty in momentum displays unusual features for huge volumes. In the second model negative pressures are obtained and mixing two different gases does not necessarily increase the entropy . This suggests a possible violation of the second law of thermodynamics. Potential consequences of these models in the evolution of the early universe are briefly discussed. Constructing the Einstein model of a solid for the q deformed oscillator, we find that the subset of eigenstates whose energies are bounded from above leads to a divergent partition function. |
1511.05050 | Chi-Sing Lam | C.S. Lam and York-Peng Yao | Off-Shell CHY Amplitudes | References updated. Text somewhat rewritten to better explain the
contents | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Cachazo-He-Yuan (CHY) formula for on-shell scattering amplitudes are
extended off-shell. The off-shell amplitudes are M\"obius invariant, and have
the same momentum poles as the on-shell amplitudes. The same technique is also
used to obtain off-shell massive scalar and vector boson amplitudes.
| [
{
"created": "Mon, 16 Nov 2015 17:27:31 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Feb 2016 15:19:20 GMT",
"version": "v2"
}
] | 2016-02-23 | [
[
"Lam",
"C. S.",
""
],
[
"Yao",
"York-Peng",
""
]
] | The Cachazo-He-Yuan (CHY) formula for on-shell scattering amplitudes are extended off-shell. The off-shell amplitudes are M\"obius invariant, and have the same momentum poles as the on-shell amplitudes. The same technique is also used to obtain off-shell massive scalar and vector boson amplitudes. |
1508.04987 | Eric Perlmutter | Eliot Hijano, Per Kraus, Eric Perlmutter, River Snively | Semiclassical Virasoro Blocks from AdS$_3$ Gravity | 32 pages + refs. v2: fixed figure glitch | null | 10.1007/JHEP12(2015)077 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a unified framework for the holographic computation of Virasoro
conformal blocks at large central charge. In particular, we provide bulk
constructions that correctly reproduce all semiclassical Virasoro blocks that
are known explicitly from conformal field theory computations. The results
revolve around the use of geodesic Witten diagrams, recently introduced in
arXiv:1508.00501, evaluated in locally AdS$_3$ geometries generated by
backreaction of heavy operators. We also provide an alternative computation of
the heavy-light semiclassical block -- in which two external operators become
parametrically heavy -- as a certain scattering process involving higher spin
gauge fields in AdS$_3$; this approach highlights the chiral nature of Virasoro
blocks. These techniques may be systematically extended to compute corrections
to these blocks and to interpolate amongst the different semiclassical regimes.
| [
{
"created": "Thu, 20 Aug 2015 14:08:02 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Aug 2015 15:41:09 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Hijano",
"Eliot",
""
],
[
"Kraus",
"Per",
""
],
[
"Perlmutter",
"Eric",
""
],
[
"Snively",
"River",
""
]
] | We present a unified framework for the holographic computation of Virasoro conformal blocks at large central charge. In particular, we provide bulk constructions that correctly reproduce all semiclassical Virasoro blocks that are known explicitly from conformal field theory computations. The results revolve around the use of geodesic Witten diagrams, recently introduced in arXiv:1508.00501, evaluated in locally AdS$_3$ geometries generated by backreaction of heavy operators. We also provide an alternative computation of the heavy-light semiclassical block -- in which two external operators become parametrically heavy -- as a certain scattering process involving higher spin gauge fields in AdS$_3$; this approach highlights the chiral nature of Virasoro blocks. These techniques may be systematically extended to compute corrections to these blocks and to interpolate amongst the different semiclassical regimes. |
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