id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2309.13145 | Jakob Moritz | Naomi Gendler, David J. E. Marsh, Liam McAllister, Jakob Moritz | Glimmers from the Axiverse | 46 pages, 18 Figures, one appendix | null | null | KCL-PH-TH/2023-49 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study axion-photon couplings in compactifications of type IIB string
theory. We find that these couplings are systematically suppressed compared to
the inverse axion periodicity, as a result of two effects. First, couplings to
the QED theta angle are suppressed for axion mass eigenstates that are light
compared to the mass scale set by stringy instantons on the cycle supporting
QED. Second, in compactifications with many axions the intersection matrix is
sparse, making kinetic mixing weak. We study the resulting phenomenology in an
ensemble of $200{,}000$ toy models constructed from the Kreuzer-Skarke database
up to the maximum Hodge number $h^{1,1}=491$. We examine freeze-in production
and decay of thermal axions, birefringence of the cosmic microwave background,
X-ray spectrum oscillations, and constraints on the QCD axion from supernovae.
We conclude that compactifications in this corner of the landscape involve many
invisible axions, as well as a handful that may be detectable via photon
couplings.
| [
{
"created": "Fri, 22 Sep 2023 19:01:37 GMT",
"version": "v1"
}
] | 2023-09-26 | [
[
"Gendler",
"Naomi",
""
],
[
"Marsh",
"David J. E.",
""
],
[
"McAllister",
"Liam",
""
],
[
"Moritz",
"Jakob",
""
]
] | We study axion-photon couplings in compactifications of type IIB string theory. We find that these couplings are systematically suppressed compared to the inverse axion periodicity, as a result of two effects. First, couplings to the QED theta angle are suppressed for axion mass eigenstates that are light compared to the mass scale set by stringy instantons on the cycle supporting QED. Second, in compactifications with many axions the intersection matrix is sparse, making kinetic mixing weak. We study the resulting phenomenology in an ensemble of $200{,}000$ toy models constructed from the Kreuzer-Skarke database up to the maximum Hodge number $h^{1,1}=491$. We examine freeze-in production and decay of thermal axions, birefringence of the cosmic microwave background, X-ray spectrum oscillations, and constraints on the QCD axion from supernovae. We conclude that compactifications in this corner of the landscape involve many invisible axions, as well as a handful that may be detectable via photon couplings. |
1105.5748 | Sever Amit | Amit Sever, Pedro Vieira | Multichannel Conformal Blocks for Polygon Wilson Loops | 19 pages, 6 figures. v2: typos corrected | null | 10.1007/JHEP01(2012)070 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the notion of Multichannel Conformal Blocks relevant for the
Operator Product Expansion for Null Polygon Wilson loops with more than six
edges. As an application of these, we decompose the one loop heptagon Wilson
loop and predict the value of its two loop OPE discontinuities. At the
functional level, the OPE discontinuities are roughly half of the full result.
Using symbols they suffice to predict the full two loop result. We also present
several new predictions for the heptagon result at any loop order.
| [
{
"created": "Sun, 29 May 2011 01:43:26 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Aug 2012 19:28:55 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Sever",
"Amit",
""
],
[
"Vieira",
"Pedro",
""
]
] | We introduce the notion of Multichannel Conformal Blocks relevant for the Operator Product Expansion for Null Polygon Wilson loops with more than six edges. As an application of these, we decompose the one loop heptagon Wilson loop and predict the value of its two loop OPE discontinuities. At the functional level, the OPE discontinuities are roughly half of the full result. Using symbols they suffice to predict the full two loop result. We also present several new predictions for the heptagon result at any loop order. |
1605.04092 | Michael Forrester | W. M. Wu, M. P. Pierpoint, D. M. Forrester, F. V. Kusmartsev | The Emergence of Superconducting Systems in Anti-de Sitter Space | 10 pages, 2 figures | null | 10.1007/JHEP10(2016)017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article, we investigate the mathematical relationship between a (3+1)
dimensional gravity model inside Anti-de Sitter space $\rm AdS_4$, and a (2+1)
dimensional superconducting system on the asymptotically flat boundary of $\rm
AdS_4$ (in the absence of gravity). We consider a simple case of the Type II
superconducting model (in terms of Ginzburg-Landau theory) with an external
perpendicular magnetic field ${\bf H}$. An interaction potential $V(r,\psi) =
\alpha(T)|\psi|^2/r^2+\chi|\psi|^2/L^2+\beta|\psi|^4/(2 r^k )$ is introduced
within the Lagrangian system. This provides more flexibility within the model,
when the superconducting system is close to the transition temperature $T_c$.
Overall, our result demonstrates that the two Ginzburg-Landau differential
equations can be directly deduced from Einstein's theory of general relativity.
| [
{
"created": "Fri, 13 May 2016 09:12:46 GMT",
"version": "v1"
},
{
"created": "Mon, 16 May 2016 20:33:05 GMT",
"version": "v2"
},
{
"created": "Wed, 18 May 2016 17:22:59 GMT",
"version": "v3"
}
] | 2016-11-03 | [
[
"Wu",
"W. M.",
""
],
[
"Pierpoint",
"M. P.",
""
],
[
"Forrester",
"D. M.",
""
],
[
"Kusmartsev",
"F. V.",
""
]
] | In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space $\rm AdS_4$, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of $\rm AdS_4$ (in the absence of gravity). We consider a simple case of the Type II superconducting model (in terms of Ginzburg-Landau theory) with an external perpendicular magnetic field ${\bf H}$. An interaction potential $V(r,\psi) = \alpha(T)|\psi|^2/r^2+\chi|\psi|^2/L^2+\beta|\psi|^4/(2 r^k )$ is introduced within the Lagrangian system. This provides more flexibility within the model, when the superconducting system is close to the transition temperature $T_c$. Overall, our result demonstrates that the two Ginzburg-Landau differential equations can be directly deduced from Einstein's theory of general relativity. |
hep-th/0308142 | Frederik Scholtz | K D Rothe and F G Scholtz | On the Hamilton-Jacobi equation for second class constrained systems | 17 pages, to appear in Ann. Phys | Annals Phys. 308 (2003) 639-651 | 10.1016/j.aop.2003.08.005 | null | hep-th | null | We discuss a general procedure for arriving at the Hamilton-Jacobi equation
of second-class constrained systems, and illustrate it in terms of a number of
examples by explicitely obtaining the respective Hamilton principal function,
and verifying that it leads to the correct solution to the Euler-Lagrange
equations.
| [
{
"created": "Thu, 21 Aug 2003 12:25:16 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Rothe",
"K D",
""
],
[
"Scholtz",
"F G",
""
]
] | We discuss a general procedure for arriving at the Hamilton-Jacobi equation of second-class constrained systems, and illustrate it in terms of a number of examples by explicitely obtaining the respective Hamilton principal function, and verifying that it leads to the correct solution to the Euler-Lagrange equations. |
2210.03732 | Jie Ren | Xiaoxuan Bai, Jie Ren | Holographic Renyi entropies from hyperbolic black holes with scalar hair | 30 pages, 5 figures; v2: improved, published version; v3: typos
corrected | JHEP 12 (2022) 038 | 10.1007/JHEP12(2022)038 | null | hep-th cond-mat.str-el gr-qc | http://creativecommons.org/licenses/by/4.0/ | The Renyi entropies as a generalization of the entanglement entropy imply
much more information. We analytically calculate the Renyi entropies (with a
spherical entangling surface) by means of a class of neutral hyperbolic black
holes with scalar hair as a one-parameter generalization of the MTZ black hole.
The zeroth-order and third-order phase transitions of black holes lead to
discontinuity of the Renyi entropies and their second derivatives,
respectively. From the Renyi entropies that are analytic at $n=\infty$, we can
express the entanglement spectrum as an infinite sum in terms of the Bell
polynomials. We show that the analytic treatment is in agreement with numerical
calculations for the low-lying entanglement spectrum in a wide range of
parameters.
| [
{
"created": "Fri, 7 Oct 2022 17:59:10 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Dec 2022 18:23:14 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Aug 2023 02:47:27 GMT",
"version": "v3"
}
] | 2023-08-16 | [
[
"Bai",
"Xiaoxuan",
""
],
[
"Ren",
"Jie",
""
]
] | The Renyi entropies as a generalization of the entanglement entropy imply much more information. We analytically calculate the Renyi entropies (with a spherical entangling surface) by means of a class of neutral hyperbolic black holes with scalar hair as a one-parameter generalization of the MTZ black hole. The zeroth-order and third-order phase transitions of black holes lead to discontinuity of the Renyi entropies and their second derivatives, respectively. From the Renyi entropies that are analytic at $n=\infty$, we can express the entanglement spectrum as an infinite sum in terms of the Bell polynomials. We show that the analytic treatment is in agreement with numerical calculations for the low-lying entanglement spectrum in a wide range of parameters. |
hep-th/9110018 | null | F.Ravanini | RG flows of non-diagonal minimal models perturbed by $\phi_{1,3}$ | 14 pp | Phys.Lett. B274 (1992) 345-351 | 10.1016/0370-2693(92)91996-M | null | hep-th | null | Studying perturbatively, for large m, the torus partition function of both
(A,A) and (A,D) series of minimal models in the Cappelli, Itzykson, Zuber
classification, deformed by the least relevant operator $\phi_{(1,3)}$, we
disentangle the structure of $\phi_{1,3}$ flows. The results are conjectured on
reasonable ground to be valid for all m. They show that (A,A) models always
flow to (A,A) and (A,D) ones to (A,D). No hopping between the two series is
possible. Also, we give arguments that there exist 3 isolated flows
(E,A)-->(A,E) that, together with the two series, should exhaust all the
possible $\phi_{1,3}$ flows. Conservation (and symmetry breaking) of non-local
currents along the flows is discussed and put in relation to the A,D,E
classification.
| [
{
"created": "Fri, 4 Oct 1991 18:54:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Ravanini",
"F.",
""
]
] | Studying perturbatively, for large m, the torus partition function of both (A,A) and (A,D) series of minimal models in the Cappelli, Itzykson, Zuber classification, deformed by the least relevant operator $\phi_{(1,3)}$, we disentangle the structure of $\phi_{1,3}$ flows. The results are conjectured on reasonable ground to be valid for all m. They show that (A,A) models always flow to (A,A) and (A,D) ones to (A,D). No hopping between the two series is possible. Also, we give arguments that there exist 3 isolated flows (E,A)-->(A,E) that, together with the two series, should exhaust all the possible $\phi_{1,3}$ flows. Conservation (and symmetry breaking) of non-local currents along the flows is discussed and put in relation to the A,D,E classification. |
hep-th/9406065 | Louis H. Kauffman | Louis H. Kauffman and David E. Radford (UI Chicago) | Invariants of 3-Manifolds Derived From Finite Dimensional Hopf Algebras | 33 pages | null | null | null | hep-th math.QA | null | This paper studies invariants of 3-manifolds derived from certain fin ite
dimensional Hopf algebras. The invariants are based on right integrals for
these algebras. It is shown that the resulting class of invariants is distinct
from the class of Witten-Reshetikhin-Turaev invariants.
| [
{
"created": "Fri, 10 Jun 1994 19:10:01 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Kauffman",
"Louis H.",
"",
"UI Chicago"
],
[
"Radford",
"David E.",
"",
"UI Chicago"
]
] | This paper studies invariants of 3-manifolds derived from certain fin ite dimensional Hopf algebras. The invariants are based on right integrals for these algebras. It is shown that the resulting class of invariants is distinct from the class of Witten-Reshetikhin-Turaev invariants. |
1603.05845 | Francesco Muia | Francesco Muia | Sequestered String Models: Supersymmetry Breaking and Cosmological
Applications | Ph.D. thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present thesis I studied the phenomenology arising from a class of
string models called sequestered compactifications, which were born with the
aim of getting low-energy SUSY from strings. This is not an easy task if
combined with cosmological constraints, since the mechanism of moduli
stabilization fixes both the scale of supersymmetric particles and the scale of
moduli, which tend to be of the same order. However, if on the one hand
supersymmetric particles with TeV mass are desired in order to address the
hierarchy problem, on the other hand the cosmological moduli problem requires
the moduli to be heavier than 100 TeV. The specific setup of sequestered
compactifications makes this hierarchy achievable, at least in principle: as in
these models the visible sector is located on a stack of D3-branes at
singularities, a physical separation between the visible degrees of freedom and
the SUSY-breaking sources takes place. Such decoupling translates into a
hierarchy between the scale of SUSY-breaking and the spectrum of supersymmetric
particles. Moreover, it is interesting to notice that moduli are the
four-dimensional manifestation of the existence of extra-dimensions, and then
their presence is a common feature of all string compactifications. Since they
are gravitationally coupled, they could decay late in the history of the
universe, affecting in a significant way its cosmological evolution. Possible
deviations of the cosmological observables from the values predicted by the
standard Hot Big Bang Theory constitute an interesting alternative for the
discovery of BSM physics, which is complementary to the particle physics
search. For this reason in addition to SUSY-breaking in sequestered models, I
also studied several cosmological scenarios arising from them, such as
production of non-thermal dark matter and dark radiation, reheating from moduli
decay and inflation.
| [
{
"created": "Fri, 18 Mar 2016 11:28:46 GMT",
"version": "v1"
}
] | 2016-03-21 | [
[
"Muia",
"Francesco",
""
]
] | In the present thesis I studied the phenomenology arising from a class of string models called sequestered compactifications, which were born with the aim of getting low-energy SUSY from strings. This is not an easy task if combined with cosmological constraints, since the mechanism of moduli stabilization fixes both the scale of supersymmetric particles and the scale of moduli, which tend to be of the same order. However, if on the one hand supersymmetric particles with TeV mass are desired in order to address the hierarchy problem, on the other hand the cosmological moduli problem requires the moduli to be heavier than 100 TeV. The specific setup of sequestered compactifications makes this hierarchy achievable, at least in principle: as in these models the visible sector is located on a stack of D3-branes at singularities, a physical separation between the visible degrees of freedom and the SUSY-breaking sources takes place. Such decoupling translates into a hierarchy between the scale of SUSY-breaking and the spectrum of supersymmetric particles. Moreover, it is interesting to notice that moduli are the four-dimensional manifestation of the existence of extra-dimensions, and then their presence is a common feature of all string compactifications. Since they are gravitationally coupled, they could decay late in the history of the universe, affecting in a significant way its cosmological evolution. Possible deviations of the cosmological observables from the values predicted by the standard Hot Big Bang Theory constitute an interesting alternative for the discovery of BSM physics, which is complementary to the particle physics search. For this reason in addition to SUSY-breaking in sequestered models, I also studied several cosmological scenarios arising from them, such as production of non-thermal dark matter and dark radiation, reheating from moduli decay and inflation. |
1405.3743 | Apratim Kaviraj | Shamik Banerjee, Apratim Kaviraj, Aninda Sinha | Nonlinear constraints on gravity from entanglement | 31 pages, 4 figures, to appear in CQG | Class. Quantum Grav. 32 (2015) 065006 | 10.1088/0264-9381/32/6/065006 | IPMU14-0119 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the positivity of relative entropy arising from the Ryu-Takayanagi
formula for spherical entangling surfaces, we obtain constraints at the
nonlinear level for the gravitational dual. We calculate the Green's function
necessary to compute the first order correction to the entangling surface and
use this to find the relative entropy for non-constant stress tensors in a
derivative expansion. We show that the Einstein value satisfies the positivity
condition while the multi-dimensional parameter space away from it gets
constrained.
| [
{
"created": "Thu, 15 May 2014 05:02:39 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jul 2014 06:48:59 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Feb 2015 15:03:05 GMT",
"version": "v3"
}
] | 2015-02-27 | [
[
"Banerjee",
"Shamik",
""
],
[
"Kaviraj",
"Apratim",
""
],
[
"Sinha",
"Aninda",
""
]
] | Using the positivity of relative entropy arising from the Ryu-Takayanagi formula for spherical entangling surfaces, we obtain constraints at the nonlinear level for the gravitational dual. We calculate the Green's function necessary to compute the first order correction to the entangling surface and use this to find the relative entropy for non-constant stress tensors in a derivative expansion. We show that the Einstein value satisfies the positivity condition while the multi-dimensional parameter space away from it gets constrained. |
hep-th/0404205 | Kazuyoshi Takahashi | Kazuyoshi Takahashi | A Gravity Dual of Localized Tachyon Condensation in Intersecting Branes | 22 pages, 2 figures, minor corrections and some errors removed | null | null | YITP-04-24 | hep-th | null | The method of probe brane is the powerful one to obtain the effective action
living on the probe brane from supergravity. We apply this method to the
unstable brane systems, and understand the tachyon condensation in the context
of the open/closed duality. First, we probe the parallel coincident branes by
the anti-brane. In this case, the mass squared of the stretched string becomes
negative infinite in the decoupling limit. So that the dual open string field
theory is difficult to understand. Next, we probe parallel coincident branes by
a brane intersecting with an angle. In this case, the stretched strings have
the tachyonic modes localized near the intersecting point, and by taking the
appropriate limit for the intersection angle, we can leave mass squared of this
modes negative finite in the decoupling limit. Then we can obtain the
information about the localized tachyon condensation from the probe brane
action obtained using supergravity.
| [
{
"created": "Tue, 27 Apr 2004 09:43:39 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2004 06:12:44 GMT",
"version": "v2"
},
{
"created": "Tue, 11 May 2004 11:08:00 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Takahashi",
"Kazuyoshi",
""
]
] | The method of probe brane is the powerful one to obtain the effective action living on the probe brane from supergravity. We apply this method to the unstable brane systems, and understand the tachyon condensation in the context of the open/closed duality. First, we probe the parallel coincident branes by the anti-brane. In this case, the mass squared of the stretched string becomes negative infinite in the decoupling limit. So that the dual open string field theory is difficult to understand. Next, we probe parallel coincident branes by a brane intersecting with an angle. In this case, the stretched strings have the tachyonic modes localized near the intersecting point, and by taking the appropriate limit for the intersection angle, we can leave mass squared of this modes negative finite in the decoupling limit. Then we can obtain the information about the localized tachyon condensation from the probe brane action obtained using supergravity. |
1502.03404 | Sean Cantrell | Nikhil Anand and Sean Cantrell | The Goldstone Equivalence Theorem and AdS/CFT | 32 pages + appendices, 5 figures | JHEP 1508 (2015) 002 | 10.1007/JHEP08(2015)002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Goldstone equivalence theorem allows one to relate scattering amplitudes
of massive gauge fields to those of scalar fields in the limit of large
scattering energies. We generalize this theorem under the framework of the
AdS/CFT correspondence. First, we obtain an expression of the equivalence
theorem in terms of correlation functions of creation and annihilation
operators by using an AdS wave function approach to the AdS/CFT dictionary. It
is shown that the divergence of the non-conserved conformal current dual to the
bulk gauge field is approximately primary when computing correlators for
theories in which the masses of all the exchanged particles are sufficiently
large. The results are then generalized to higher spin fields.
We then go on to generalize the theorem using conformal blocks in two and
four-dimensional CFTs. We show that when the scaling dimensions of the
exchanged operators are large compared to both their spins and the dimension of
the current, the conformal blocks satisfy an equivalence theorem.
| [
{
"created": "Wed, 11 Feb 2015 18:46:08 GMT",
"version": "v1"
}
] | 2015-08-05 | [
[
"Anand",
"Nikhil",
""
],
[
"Cantrell",
"Sean",
""
]
] | The Goldstone equivalence theorem allows one to relate scattering amplitudes of massive gauge fields to those of scalar fields in the limit of large scattering energies. We generalize this theorem under the framework of the AdS/CFT correspondence. First, we obtain an expression of the equivalence theorem in terms of correlation functions of creation and annihilation operators by using an AdS wave function approach to the AdS/CFT dictionary. It is shown that the divergence of the non-conserved conformal current dual to the bulk gauge field is approximately primary when computing correlators for theories in which the masses of all the exchanged particles are sufficiently large. The results are then generalized to higher spin fields. We then go on to generalize the theorem using conformal blocks in two and four-dimensional CFTs. We show that when the scaling dimensions of the exchanged operators are large compared to both their spins and the dimension of the current, the conformal blocks satisfy an equivalence theorem. |
1004.5372 | Juan Antonio Nieto | J. A. Nieto | Qubits and chirotopes | 11 pages, Latex | Phys.Lett.B692:43-46,2010 | 10.1016/j.physletb.2010.07.010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that qubit and chirotope concepts are closely related. In fact, we
prove that the qubit concept leads to a generalization of the chirotope
concept, which we call qubitope. Moreover, we argue that a possible qubitope
theory may suggest interesting applications of oriented matroid theory in at
least three physical contexts, in which qubits make their appearance, namely
string theory, black holes and quantum information.
| [
{
"created": "Thu, 29 Apr 2010 19:30:07 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 2010 18:41:52 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Nieto",
"J. A.",
""
]
] | We show that qubit and chirotope concepts are closely related. In fact, we prove that the qubit concept leads to a generalization of the chirotope concept, which we call qubitope. Moreover, we argue that a possible qubitope theory may suggest interesting applications of oriented matroid theory in at least three physical contexts, in which qubits make their appearance, namely string theory, black holes and quantum information. |
1707.08887 | Hernan Gonzalez | Glenn Barnich, Hernan A. Gonzalez, Patricio Salgado-Rebolledo | Geometric actions for three-dimensional gravity | 29 pages | null | 10.1088/1361-6382/aa9806 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The solution space of three-dimensional asymptotically anti-de Sitter or flat
Einstein gravity is given by the coadjoint representation of two copies of the
Virasoro group in the former and the centrally extended BMS$_3$ group in the
latter case. Dynamical actions that control these solution spaces are usually
constructed by starting from the Chern-Simons formulation and imposing all
boundary conditions. In this note, an alternative route is followed. We study
in detail how to derive these actions from a group-theoretical viewpoint by
constructing geometric actions for each of the coadjoint orbits, including the
appropriate Hamiltonians. We briefly sketch relevant generalizations and
potential applications beyond three-dimensional gravity.
| [
{
"created": "Thu, 27 Jul 2017 14:41:31 GMT",
"version": "v1"
}
] | 2017-12-20 | [
[
"Barnich",
"Glenn",
""
],
[
"Gonzalez",
"Hernan A.",
""
],
[
"Salgado-Rebolledo",
"Patricio",
""
]
] | The solution space of three-dimensional asymptotically anti-de Sitter or flat Einstein gravity is given by the coadjoint representation of two copies of the Virasoro group in the former and the centrally extended BMS$_3$ group in the latter case. Dynamical actions that control these solution spaces are usually constructed by starting from the Chern-Simons formulation and imposing all boundary conditions. In this note, an alternative route is followed. We study in detail how to derive these actions from a group-theoretical viewpoint by constructing geometric actions for each of the coadjoint orbits, including the appropriate Hamiltonians. We briefly sketch relevant generalizations and potential applications beyond three-dimensional gravity. |
hep-th/0105216 | Suresh Govindarajan | Suresh Govindarajan (IITM) and T. Jayaraman (IMSc) | D-branes and Vector Bundles on Calabi-Yau Manifolds: a view from the
Helix | 10 pages, 4 figures, needs AMS LaTeX and epsf.sty | null | null | null | hep-th | null | We review some recent results on D-branes on Calabi-Yau (CY) manifolds. We
show the existence of structures (helices and quivers) which enable one to make
statements about large families of D-branes in various phases of the Gauged
Linear Sigma Model (GLSM) associated with the CY manifold. A comparison of the
quivers of two phases leads to the prediction that certain D-brane
configurations will decay as one moves across phases. We discuss how boundary
fermions can be used to realise various D-brane configurations associated with
coherent sheaves in the GLSM with boundary.
This is based on the talk presented by S.G. at Strings 2001, Mumbai.
| [
{
"created": "Tue, 22 May 2001 15:51:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Govindarajan",
"Suresh",
"",
"IITM"
],
[
"Jayaraman",
"T.",
"",
"IMSc"
]
] | We review some recent results on D-branes on Calabi-Yau (CY) manifolds. We show the existence of structures (helices and quivers) which enable one to make statements about large families of D-branes in various phases of the Gauged Linear Sigma Model (GLSM) associated with the CY manifold. A comparison of the quivers of two phases leads to the prediction that certain D-brane configurations will decay as one moves across phases. We discuss how boundary fermions can be used to realise various D-brane configurations associated with coherent sheaves in the GLSM with boundary. This is based on the talk presented by S.G. at Strings 2001, Mumbai. |
2103.13408 | Gabriel Larios | Mattia Cesaro and Gabriel Larios and Oscar Varela | Supersymmetric spectroscopy on AdS$_4\times S^7$ and AdS$_4\times S^6$ | v2: Tables of spectra suppressed, and spectral data now presented in
ancillary Mathematica files | null | 10.1007/JHEP07(2021)094 | IFT-UAM/CSIC-21-025 | hep-th | http://creativecommons.org/licenses/by/4.0/ | New techniques based on Exceptional Field Theory have recently allowed for
the calculation of the Kaluza-Klein spectra of certain AdS$_4$ solutions of
$D=11$ and massive IIA supergravity. These are the solutions that consistently
uplift on $S^7$ and $S^6$ from vacua of maximal four-dimensional supergravity
with SO(8) and ISO(7) gaugings. In this paper, we provide the complete
Kaluza-Klein spectrum of five such AdS$_4$ solutions, all of them ${\cal N}=1$.
These solutions preserve SO(3) and $\textrm{U}(1) \times \textrm{U}(1)$
internal symmetry in $D=11$, and U(1) (two of them) and no continuous symmetry
in type IIA. Together with previously discussed cases, our results exhaust the
Kaluza-Klein spectra of known supersymmetric AdS$_4$ solutions in $D=11$ and
type IIA in the relevant class.
| [
{
"created": "Wed, 24 Mar 2021 18:00:26 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2024 09:53:32 GMT",
"version": "v2"
}
] | 2024-04-26 | [
[
"Cesaro",
"Mattia",
""
],
[
"Larios",
"Gabriel",
""
],
[
"Varela",
"Oscar",
""
]
] | New techniques based on Exceptional Field Theory have recently allowed for the calculation of the Kaluza-Klein spectra of certain AdS$_4$ solutions of $D=11$ and massive IIA supergravity. These are the solutions that consistently uplift on $S^7$ and $S^6$ from vacua of maximal four-dimensional supergravity with SO(8) and ISO(7) gaugings. In this paper, we provide the complete Kaluza-Klein spectrum of five such AdS$_4$ solutions, all of them ${\cal N}=1$. These solutions preserve SO(3) and $\textrm{U}(1) \times \textrm{U}(1)$ internal symmetry in $D=11$, and U(1) (two of them) and no continuous symmetry in type IIA. Together with previously discussed cases, our results exhaust the Kaluza-Klein spectra of known supersymmetric AdS$_4$ solutions in $D=11$ and type IIA in the relevant class. |
1512.08556 | Lilia Anguelova | Lilia Anguelova | A Gravity Dual of Ultra-slow Roll Inflation | 27 pages; explanations and references added, journal version | Nucl. Phys. B911 (2016) 480 | 10.1016/j.nuclphysb.2016.08.020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study time-dependent deformations of a certain class of backgrounds in
type IIB supergravity. These backgrounds are solutions of a five-dimensional
consistent truncation, relevant for gauge/gravity duality, which have the form
of dS_4 foliations over a fifth (radial) direction. We investigate
time-dependent deformations of those solutions in the search for gravitational
duals of models of glueball inflation. A particular starting ansatz enables us
to find a class of analytical solutions, corresponding to an ultra-slow roll
inflationary regime. This regime may play a role in understanding the low l
anomaly in the power spectrum of the CMB.
| [
{
"created": "Mon, 28 Dec 2015 23:20:00 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2016 16:37:13 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Aug 2016 23:31:47 GMT",
"version": "v3"
}
] | 2016-10-04 | [
[
"Anguelova",
"Lilia",
""
]
] | We study time-dependent deformations of a certain class of backgrounds in type IIB supergravity. These backgrounds are solutions of a five-dimensional consistent truncation, relevant for gauge/gravity duality, which have the form of dS_4 foliations over a fifth (radial) direction. We investigate time-dependent deformations of those solutions in the search for gravitational duals of models of glueball inflation. A particular starting ansatz enables us to find a class of analytical solutions, corresponding to an ultra-slow roll inflationary regime. This regime may play a role in understanding the low l anomaly in the power spectrum of the CMB. |
1804.09171 | Hyun Seok Yang | Jungjai Lee and Hyun Seok Yang | Quantized K\"ahler Geometry and Quantum Gravity | 38 pages; Review for the 50th anniversary of Journal of the Korean
Physical Society | J. Korean Phys. Soc. 72 (2018) 1421-1441 | 10.3938/jkps.72.1421 | null | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been often observed that K\"ahler geometry is essentially a $U(1)$
gauge theory whose field strength is identified with the K\"ahler form. However
it has been pursued neither seriously nor deeply. We argue that this remarkable
connection between the K\"ahler geometry and $U(1)$ gauge theory is a missing
corner in our understanding of quantum gravity. We show that the K\"ahler
geometry can be described by a $U(1)$ gauge theory on a symplectic manifold
with a slight generalization. We derive a natural Poisson algebra associated
with the K\"ahler geometry we have started with. The quantization of the
underlying Poisson algebra leads to a noncommutative $U(1)$ gauge theory which
arguably describes a quantized K\"ahler geometry. The Hilbert space
representation of quantized K\"ahler geometry eventually ends in a
zero-dimensional matrix model. We then play with the zero-dimensional matrix
model to examine how to recover our starting point--K\"ahler geometry--from the
background-independent formulation. The round-trip journey suggests many
remarkable pictures for quantum gravity that will open a new perspective to
resolve the notorious problems in theoretical physics such as the cosmological
constant problem, hierarchy problem, dark energy, dark matter and cosmic
inflation. We also discuss how time emerges to generate a Lorentzian spacetime
in the context of emergent gravity.
| [
{
"created": "Tue, 24 Apr 2018 17:56:33 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2018 16:15:08 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Jun 2018 07:59:03 GMT",
"version": "v3"
}
] | 2018-06-27 | [
[
"Lee",
"Jungjai",
""
],
[
"Yang",
"Hyun Seok",
""
]
] | It has been often observed that K\"ahler geometry is essentially a $U(1)$ gauge theory whose field strength is identified with the K\"ahler form. However it has been pursued neither seriously nor deeply. We argue that this remarkable connection between the K\"ahler geometry and $U(1)$ gauge theory is a missing corner in our understanding of quantum gravity. We show that the K\"ahler geometry can be described by a $U(1)$ gauge theory on a symplectic manifold with a slight generalization. We derive a natural Poisson algebra associated with the K\"ahler geometry we have started with. The quantization of the underlying Poisson algebra leads to a noncommutative $U(1)$ gauge theory which arguably describes a quantized K\"ahler geometry. The Hilbert space representation of quantized K\"ahler geometry eventually ends in a zero-dimensional matrix model. We then play with the zero-dimensional matrix model to examine how to recover our starting point--K\"ahler geometry--from the background-independent formulation. The round-trip journey suggests many remarkable pictures for quantum gravity that will open a new perspective to resolve the notorious problems in theoretical physics such as the cosmological constant problem, hierarchy problem, dark energy, dark matter and cosmic inflation. We also discuss how time emerges to generate a Lorentzian spacetime in the context of emergent gravity. |
hep-th/9907223 | Yu. A. Sitenko | Yurii A. Sitenko | Induced vacuum condensates in the background of a singular magnetic
vortex in 2+1-dimensional space-time | LaTeX2e, 27 pages | Phys.Rev. D60 (1999) 125017 | 10.1103/PhysRevD.60.125017 | null | hep-th | null | We show that the vacuum of the quantized massless spinor field in
2+1-dimensional space-time is polarized in the presence of a singular magnetic
vortex. Depending on the choice of the boundary condition at the location of
the vortex, either chiral symmetry or parity is broken; the formation of the
appropriate vacuum condensates is comprehensively studied. In addition, we find
that current, energy and other quantum numbers are induced in the vacuum.
| [
{
"created": "Fri, 30 Jul 1999 10:26:55 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Sitenko",
"Yurii A.",
""
]
] | We show that the vacuum of the quantized massless spinor field in 2+1-dimensional space-time is polarized in the presence of a singular magnetic vortex. Depending on the choice of the boundary condition at the location of the vortex, either chiral symmetry or parity is broken; the formation of the appropriate vacuum condensates is comprehensively studied. In addition, we find that current, energy and other quantum numbers are induced in the vacuum. |
1312.4923 | David Kastor | David Kastor and Jennie Traschen | Magnetic Fields in an Expanding Universe | 17 pages, 2 figures; v2 - references added | null | 10.1088/0264-9381/31/7/075023 | ACFI-T13-03 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a solution to $4D$ Einstein-Maxwell theory coupled to a massless
dilaton field describing a Melvin magnetic field in an expanding universe with
'stiff matter' equation of state parameter $w=+1$. As the universe expands,
magnetic flux becomes more concentrated around the symmetry axis for dilaton
coupling $a<1/\sqrt{3}$ and more dispersed for $a>1/\sqrt{3}$. An electric
field circulates around the symmetry axis in the direction determined by Lenz's
law. For $a=0$ the magnetic flux through a disk of fixed comoving radius is
proportional to the proper area of the disk. This result disagrees with the
usual expectation based on a test magnetic field that this flux should be
constant, and we show why this difference arises. We also find a Melvin
solution in an accelerating universe with $w=-7/9$ for a dilaton field with a
certain exponential potential. Our main tools are simple manipulations in $5D$
Kaluza-Klein theory and related solution generating techniques. We also discuss
a number of directions for possible extensions of this work.
| [
{
"created": "Tue, 17 Dec 2013 20:10:23 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2014 14:47:52 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Kastor",
"David",
""
],
[
"Traschen",
"Jennie",
""
]
] | We find a solution to $4D$ Einstein-Maxwell theory coupled to a massless dilaton field describing a Melvin magnetic field in an expanding universe with 'stiff matter' equation of state parameter $w=+1$. As the universe expands, magnetic flux becomes more concentrated around the symmetry axis for dilaton coupling $a<1/\sqrt{3}$ and more dispersed for $a>1/\sqrt{3}$. An electric field circulates around the symmetry axis in the direction determined by Lenz's law. For $a=0$ the magnetic flux through a disk of fixed comoving radius is proportional to the proper area of the disk. This result disagrees with the usual expectation based on a test magnetic field that this flux should be constant, and we show why this difference arises. We also find a Melvin solution in an accelerating universe with $w=-7/9$ for a dilaton field with a certain exponential potential. Our main tools are simple manipulations in $5D$ Kaluza-Klein theory and related solution generating techniques. We also discuss a number of directions for possible extensions of this work. |
2303.02515 | D. Ghilencea | D. M. Ghilencea, C. T. Hill | Standard Model in conformal geometry: local vs gauged scale invariance | 26 pages, LaTeX | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss comparatively local versus gauged Weyl symmetry beyond Standard
Model (SM) and Einstein gravity and their geometric interpretation. The SM and
Einstein gravity admit a natural embedding in Weyl integrable geometry which is
a special limit of Weyl conformal (non-metric) geometry. The theory has a {\it
local} Weyl scale symmetry but no associated gauge boson. Unlike previous
models with such symmetry, this embedding is truly minimal i.e. with no
additional fields beyond SM and underlying geometry. This theory is compared to
a similar minimal embedding of SM and Einstein gravity in Weyl conformal
geometry (SMW) which has a full {\it gauged} scale invariance, with an
associated Weyl gauge boson. At large field values, both theories give
realistic, Starobinsky-Higgs like inflation. The broken phase of the current
model is the decoupling limit of the massive Weyl gauge boson of the broken
phase of SMW, while the local scale symmetry of the current model is part of
the larger gauged scale symmetry of SMW. Hence, the current theory has a gauge
embedding in SMW. Unlike in the SMW, we note that in models with local scale
symmetry the associated current is trivial, which is a concern for the physical
meaning of this symmetry. Therefore, the SMW is a more fundamental UV
completion of SM in a full gauge theory of scale invariance that generates
Einstein gravity in the (spontaneously) broken phase, as an effective theory.
| [
{
"created": "Sat, 4 Mar 2023 22:30:07 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jan 2024 22:22:52 GMT",
"version": "v2"
}
] | 2024-01-12 | [
[
"Ghilencea",
"D. M.",
""
],
[
"Hill",
"C. T.",
""
]
] | We discuss comparatively local versus gauged Weyl symmetry beyond Standard Model (SM) and Einstein gravity and their geometric interpretation. The SM and Einstein gravity admit a natural embedding in Weyl integrable geometry which is a special limit of Weyl conformal (non-metric) geometry. The theory has a {\it local} Weyl scale symmetry but no associated gauge boson. Unlike previous models with such symmetry, this embedding is truly minimal i.e. with no additional fields beyond SM and underlying geometry. This theory is compared to a similar minimal embedding of SM and Einstein gravity in Weyl conformal geometry (SMW) which has a full {\it gauged} scale invariance, with an associated Weyl gauge boson. At large field values, both theories give realistic, Starobinsky-Higgs like inflation. The broken phase of the current model is the decoupling limit of the massive Weyl gauge boson of the broken phase of SMW, while the local scale symmetry of the current model is part of the larger gauged scale symmetry of SMW. Hence, the current theory has a gauge embedding in SMW. Unlike in the SMW, we note that in models with local scale symmetry the associated current is trivial, which is a concern for the physical meaning of this symmetry. Therefore, the SMW is a more fundamental UV completion of SM in a full gauge theory of scale invariance that generates Einstein gravity in the (spontaneously) broken phase, as an effective theory. |
0708.0672 | Juan Maldacena | Luis F. Alday and Juan Maldacena | Comments on operators with large spin | 33 pages, 1 figure,v2:reference to more recent work added, minor
corrections | JHEP0711:019,2007 | 10.1088/1126-6708/2007/11/019 | null | hep-th | null | We consider high spin operators. We give a general argument for the
logarithmic scaling of their anomalous dimensions which is based on the
symmetries of the problem. By an analytic continuation we can also see the
origin of the double logarithmic divergence in the Sudakov factor. We show that
the cusp anomalous dimension is the energy density for a flux configuration of
the gauge theory on $AdS_3 \times S^1$. We then focus on operators in ${\cal
N}=4$ super Yang Mills which carry large spin and SO(6) charge and show that in
a particular limit their properties are described in terms of a bosonic O(6)
sigma model. This can be used to make certain all loop computations in the
string theory.
| [
{
"created": "Mon, 6 Aug 2007 19:42:12 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Aug 2007 21:54:04 GMT",
"version": "v2"
},
{
"created": "Fri, 26 Oct 2007 15:16:58 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Alday",
"Luis F.",
""
],
[
"Maldacena",
"Juan",
""
]
] | We consider high spin operators. We give a general argument for the logarithmic scaling of their anomalous dimensions which is based on the symmetries of the problem. By an analytic continuation we can also see the origin of the double logarithmic divergence in the Sudakov factor. We show that the cusp anomalous dimension is the energy density for a flux configuration of the gauge theory on $AdS_3 \times S^1$. We then focus on operators in ${\cal N}=4$ super Yang Mills which carry large spin and SO(6) charge and show that in a particular limit their properties are described in terms of a bosonic O(6) sigma model. This can be used to make certain all loop computations in the string theory. |
hep-th/9303057 | Ashoke Sen | Ashoke Sen | Magnetic Monopoles, Bogomol'nyi Bound and SL(2,Z) Invariance in String
Theory | 16 pages, phyzzx.tex, NSF-ITP-93-29 (Minor additions have been made
in the set of eqs.(4).) | Mod.Phys.Lett.A8:2023-2036,1993 | 10.1142/S0217732393001732 | null | hep-th | null | We show that in heterotic string theory compactified on a six dimensional
torus, the lower bound (Bogomol'nyi bound) on the dyon mass is invariant under
the SL(2,Z) transformation that interchanges strong and weak coupling limits of
the theory. Elementary string excitations are also shown to satisfy this lower
bound. Finally, we identify specific monopole solutions that are related via
the strong-weak coupling duality transformation to some of the elementary
particles saturating the Bogomol'nyi bound, and these monopoles are shown to
have the same mass and degeneracy of states as the corresponding elementary
particles.
| [
{
"created": "Wed, 10 Mar 1993 00:37:04 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Mar 1993 21:52:42 GMT",
"version": "v2"
}
] | 2009-09-15 | [
[
"Sen",
"Ashoke",
""
]
] | We show that in heterotic string theory compactified on a six dimensional torus, the lower bound (Bogomol'nyi bound) on the dyon mass is invariant under the SL(2,Z) transformation that interchanges strong and weak coupling limits of the theory. Elementary string excitations are also shown to satisfy this lower bound. Finally, we identify specific monopole solutions that are related via the strong-weak coupling duality transformation to some of the elementary particles saturating the Bogomol'nyi bound, and these monopoles are shown to have the same mass and degeneracy of states as the corresponding elementary particles. |
1709.00289 | Seyed Hossein Hendi Dr. | S. H. Hendi, M. S. Talezadeh and Z. Armanfard | Phase transition of black holes in Brans--Dicke Born--Infeld gravity
through geometrical thermodynamics | 13 pages with 7 captioned figures. To appear in Advances in High
Energy Physics | Advances in High Energy Physics, 2017, 7158697 (2017) | 10.1155/2017/7158697 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the geometrical thermodynamic approach, we study phase transition of
Brans--Dicke Born--Infeld black holes. We apply introduced methods and describe
their shortcomings. We also use the recently proposed new method and compare
its results with those of canonical ensemble. By considering the new method, we
find that its Ricci scalar diverges in the places of phase transition and bound
points. We also show that the bound point can be distinguished from the phase
transition points through the sign of thermodynamical Ricci scalar around its
divergencies.
| [
{
"created": "Thu, 31 Aug 2017 12:04:58 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2017 20:20:21 GMT",
"version": "v2"
}
] | 2017-12-08 | [
[
"Hendi",
"S. H.",
""
],
[
"Talezadeh",
"M. S.",
""
],
[
"Armanfard",
"Z.",
""
]
] | Using the geometrical thermodynamic approach, we study phase transition of Brans--Dicke Born--Infeld black holes. We apply introduced methods and describe their shortcomings. We also use the recently proposed new method and compare its results with those of canonical ensemble. By considering the new method, we find that its Ricci scalar diverges in the places of phase transition and bound points. We also show that the bound point can be distinguished from the phase transition points through the sign of thermodynamical Ricci scalar around its divergencies. |
hep-th/9908184 | Peter Mattsson | Peter Mattsson | S-Matrix Identities in Affine Toda Field Theories | 6 pages, LaTeX 2e; derivation of generalised RTV formula revised,
some typos corrected | Phys.Lett. B468 (1999) 233-238 | 10.1016/S0370-2693(99)01226-5 | DTP-99/55 | hep-th | null | We note that S-matrix/conserved charge identities in affine Toda field
theories of the type recently noted by Khastgir can be put on a more systematic
footing. This makes use of a result first found by Ravanini, Tateo and
Valleriani for theories based on the simply-laced Lie algebras (A,D and E)
which we extend to the nonsimply-laced case. We also present the generalisation
to nonsimply-laced cases of the observation - for simply-laced situations -
that the conserved charges form components of the eigenvectors of the Cartan
matrix.
| [
{
"created": "Fri, 27 Aug 1999 20:22:11 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Oct 1999 14:30:26 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Mattsson",
"Peter",
""
]
] | We note that S-matrix/conserved charge identities in affine Toda field theories of the type recently noted by Khastgir can be put on a more systematic footing. This makes use of a result first found by Ravanini, Tateo and Valleriani for theories based on the simply-laced Lie algebras (A,D and E) which we extend to the nonsimply-laced case. We also present the generalisation to nonsimply-laced cases of the observation - for simply-laced situations - that the conserved charges form components of the eigenvectors of the Cartan matrix. |
2307.11199 | Jun Nishimura | Jun Nishimura, Katsuta Sakai, Atis Yosprakob | A new picture of quantum tunneling in the real-time path integral from
Lefschetz thimble calculations | 39 pages, 7 figures; v2: reference added | null | null | KEK-TH-2538 | hep-th cond-mat.stat-mech gr-qc hep-lat quant-ph | http://creativecommons.org/licenses/by/4.0/ | It is well known that quantum tunneling can be described by instantons in the
imaginary-time path integral formalism. However, its description in the
real-time path integral formalism has been elusive. Here we establish a
statement that quantum tunneling can be characterized in general by the
contribution of complex saddle points, which can be identified by using the
Picard-Lefschetz theory. We demonstrate this explicitly by performing Monte
Carlo simulations of simple quantum mechanical systems, overcoming the sign
problem by the generalized Lefschetz thimble method. We confirm numerically
that the contribution of complex saddle points manifests itself in a complex
``weak value'' of the Hermitian coordinate operator $\hat{x}$ evaluated at time
$t$, which is a physical quantity that can be measured by experiments in
principle. We also discuss the transition to classical dynamics based on our
picture.
| [
{
"created": "Thu, 20 Jul 2023 19:23:33 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2023 05:07:29 GMT",
"version": "v2"
}
] | 2023-08-03 | [
[
"Nishimura",
"Jun",
""
],
[
"Sakai",
"Katsuta",
""
],
[
"Yosprakob",
"Atis",
""
]
] | It is well known that quantum tunneling can be described by instantons in the imaginary-time path integral formalism. However, its description in the real-time path integral formalism has been elusive. Here we establish a statement that quantum tunneling can be characterized in general by the contribution of complex saddle points, which can be identified by using the Picard-Lefschetz theory. We demonstrate this explicitly by performing Monte Carlo simulations of simple quantum mechanical systems, overcoming the sign problem by the generalized Lefschetz thimble method. We confirm numerically that the contribution of complex saddle points manifests itself in a complex ``weak value'' of the Hermitian coordinate operator $\hat{x}$ evaluated at time $t$, which is a physical quantity that can be measured by experiments in principle. We also discuss the transition to classical dynamics based on our picture. |
2102.06999 | Carlos I. Perez-Sanchez | Carlos I. Perez-Sanchez | Comment on "The phase diagram of the multi-matrix model with
ABAB-interaction from functional renormalization" | 10 pages, several ribbon graphs v3: a user's guide to ribbon graphs
added. Conform with the published JHEP-version (v2: minor correction) | J. High Energ. Phys. 2021, 42 (2021) | 10.1007/JHEP07(2021)042 | null | hep-th math.CO | http://creativecommons.org/licenses/by/4.0/ | Recently, [JHEP 20 131 (2020)] obtained (a similar, scaled version of) the
($a,b$)-phase diagram derived from the Kazakov--Zinn-Justin solution of the
Hermitian two-matrix model with interactions \[\mathrm{Tr\,}\Big\{\frac{a}{4}
(A^4+B^4)+\frac{b}{2} ABAB\Big\}\,,\] starting from Functional Renormalization.
We comment on something unexpected: the phase diagram of [JHEP 20 131 (2020)]
is based on a $\beta_b$-function that does not have the one-loop structure of
the Wetterich-Morris Equation. This raises the question of how to reproduce the
phase diagram from a set of $\beta$-functions that is, in its totality,
consistent with Functional Renormalization. A non-minimalist, yet simple
truncation that could lead to the phase diagram is provided. Additionally, we
identify the ensemble for which the result of op. cit. would be entirely
correct.
| [
{
"created": "Sat, 13 Feb 2021 20:35:51 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Feb 2021 17:07:08 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Jul 2021 10:15:39 GMT",
"version": "v3"
}
] | 2021-07-13 | [
[
"Perez-Sanchez",
"Carlos I.",
""
]
] | Recently, [JHEP 20 131 (2020)] obtained (a similar, scaled version of) the ($a,b$)-phase diagram derived from the Kazakov--Zinn-Justin solution of the Hermitian two-matrix model with interactions \[\mathrm{Tr\,}\Big\{\frac{a}{4} (A^4+B^4)+\frac{b}{2} ABAB\Big\}\,,\] starting from Functional Renormalization. We comment on something unexpected: the phase diagram of [JHEP 20 131 (2020)] is based on a $\beta_b$-function that does not have the one-loop structure of the Wetterich-Morris Equation. This raises the question of how to reproduce the phase diagram from a set of $\beta$-functions that is, in its totality, consistent with Functional Renormalization. A non-minimalist, yet simple truncation that could lead to the phase diagram is provided. Additionally, we identify the ensemble for which the result of op. cit. would be entirely correct. |
hep-th/9412186 | Shamir Yigal | A. Casher, V. Elkonin and Y. Shamir | Explicit breaking of supersymmetry by non-perturbative effects | LaTeX, 15 pages. Uses epsf for 5 in-text figures | null | null | TAUP-2222-94 | hep-th hep-ph | null | Instanton effects in a family of completely massive Higgs models with N=1
supersymmetry are investigated. The models have $N_c=2$ and $N_f\ge 2$. In each
model, we show that a certain gauge invariant correlation function depends in a
non-trivial way on its coordinates, in spite of the fact that supersymmetry
requires its constancy. This means that non-perturbative effects break
supersymmetry explicitly in the one instanton sector. We also show that
condensates arising in the point-like limit of the above correlation functions
can in principle be used to induce the Electro-Weak scale.
| [
{
"created": "Wed, 21 Dec 1994 13:01:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Casher",
"A.",
""
],
[
"Elkonin",
"V.",
""
],
[
"Shamir",
"Y.",
""
]
] | Instanton effects in a family of completely massive Higgs models with N=1 supersymmetry are investigated. The models have $N_c=2$ and $N_f\ge 2$. In each model, we show that a certain gauge invariant correlation function depends in a non-trivial way on its coordinates, in spite of the fact that supersymmetry requires its constancy. This means that non-perturbative effects break supersymmetry explicitly in the one instanton sector. We also show that condensates arising in the point-like limit of the above correlation functions can in principle be used to induce the Electro-Weak scale. |
2111.11985 | Zhentao Zhang | Zhentao Zhang | On the Casimir effect from the zero-point energy: A tangential force and
its properties | v2: dielectrics included; v3: minor revision, mainly for finite
temperature; eq.17 simplified; v4: generalization to dielectrics revised | null | 10.1088/1367-2630/ac9f27 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate the Casimir effect in the systems that consist of parallel but
misaligned finite-size plates from the point of view of zero-point energy. We
elaborate the zero-point energies of the radiation field in the perfect
conductor systems would generate a tangential Casimir force, and explore the
properties and consequences of this tangential force in various conductor
systems. Thereafter, we generalize our discussion to dielectrics. After
calculating the total zero-point energies of the surface modes in the
multilayered systems, we show that the tangential force also exists in
dielectrics. We obtain the finite-conductivity corrections to the tangential
force for imperfectly conducting plates, and calculate the finite-temperature
corrections to the force. The typical strength of the tangential force suggests
it might be observable.
| [
{
"created": "Tue, 16 Nov 2021 10:21:16 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jan 2022 15:30:35 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Jan 2022 16:08:52 GMT",
"version": "v3"
},
{
"created": "Mon, 30 May 2022 13:04:16 GMT",
"version": "v4"
}
] | 2022-12-07 | [
[
"Zhang",
"Zhentao",
""
]
] | We investigate the Casimir effect in the systems that consist of parallel but misaligned finite-size plates from the point of view of zero-point energy. We elaborate the zero-point energies of the radiation field in the perfect conductor systems would generate a tangential Casimir force, and explore the properties and consequences of this tangential force in various conductor systems. Thereafter, we generalize our discussion to dielectrics. After calculating the total zero-point energies of the surface modes in the multilayered systems, we show that the tangential force also exists in dielectrics. We obtain the finite-conductivity corrections to the tangential force for imperfectly conducting plates, and calculate the finite-temperature corrections to the force. The typical strength of the tangential force suggests it might be observable. |
hep-th/0606073 | Changhyun Ahn | Changhyun Ahn | Two Circular Wilson Loops and Marginal Deformations | 16pp; section 3 added | null | null | null | hep-th | null | We study type IIB supergravity backgrounds which are dual to marginal
deformations of N=4 super Yang-Mills theory. We re-examine two circular Wilson
loops and describe how the phase transition occurs in the presence of
deformation parameter.
| [
{
"created": "Thu, 8 Jun 2006 11:19:09 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Sep 2006 00:58:07 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ahn",
"Changhyun",
""
]
] | We study type IIB supergravity backgrounds which are dual to marginal deformations of N=4 super Yang-Mills theory. We re-examine two circular Wilson loops and describe how the phase transition occurs in the presence of deformation parameter. |
hep-th/0304173 | Julie D. Blum | Julie D. Blum | Gravitational Radiation from Travelling Waves on D-Strings | improvements and corrections | Phys.Rev.D68:086003,2003 | 10.1103/PhysRevD.68.086003 | UTTG-01-03 | hep-th | null | Boundary states that preserve supersymmetry are constructed for fractional
D-strings with travelling waves on a ${\bf C}^3/ {{\bf Z}_2\times {\bf Z}_2}$
orbifold. The gravitational radiation emitted between two D-strings with
antiparallel travelling waves is calculated.
| [
{
"created": "Mon, 21 Apr 2003 05:58:29 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Aug 2003 19:51:54 GMT",
"version": "v2"
}
] | 2009-08-18 | [
[
"Blum",
"Julie D.",
""
]
] | Boundary states that preserve supersymmetry are constructed for fractional D-strings with travelling waves on a ${\bf C}^3/ {{\bf Z}_2\times {\bf Z}_2}$ orbifold. The gravitational radiation emitted between two D-strings with antiparallel travelling waves is calculated. |
1710.07627 | Soo-Jong Rey | Kang-Sin Choi, Soo-Jong Rey | Elliptic Genus, Anomaly Cancellation and Heterotic M-theory | 5 pages, 2 columns | Phys. Rev. D 103, 126001 (2021) | 10.1103/PhysRevD.103.126001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive global consistency condition for strongly coupled heterotic string
in the presence of M5-branes. Its elliptic genus is interpretable as generating
functional of anomaly polynomials and so, on anomaly-free vacua, the genus is
both holomorphic and modular invariant. In holomorphic basis, we identify the
modular properties by calculating the phase. By interpreting the refinement
parameters as background curvature of tangent and vector bundles, we identify
the extended Bianchi identity for Kalb--Ramond field of heterotic M-theory in
the presence of arbitrary numbers of M5-branes.
| [
{
"created": "Fri, 20 Oct 2017 17:55:29 GMT",
"version": "v1"
}
] | 2021-06-09 | [
[
"Choi",
"Kang-Sin",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We derive global consistency condition for strongly coupled heterotic string in the presence of M5-branes. Its elliptic genus is interpretable as generating functional of anomaly polynomials and so, on anomaly-free vacua, the genus is both holomorphic and modular invariant. In holomorphic basis, we identify the modular properties by calculating the phase. By interpreting the refinement parameters as background curvature of tangent and vector bundles, we identify the extended Bianchi identity for Kalb--Ramond field of heterotic M-theory in the presence of arbitrary numbers of M5-branes. |
hep-th/0409037 | Ori J. Ganor | Jeffrey Brown, Surya Ganguli, Ori J. Ganor and Craig Helfgott | E10 Orbifolds | 60 pages, LaTeX with JHEP3 format, references added, typos corrected,
and appendix added | JHEP 0506:057,2005 | 10.1088/1126-6708/2005/06/057 | UCB-PTH-04/24, LBNL-56196 | hep-th | null | We study Z2 orbifolds of M-theory in terms of E10. We find a simple relation
between the Z2 action on E10 and the imaginary root that corresponds
[hep-th/0401053] to the "twisted sector" branes. We discuss the connection
between the Kac-Moody algebra DE10 and the "untwisted" sector, and we
demonstrate how DE18 can describe both the untwisted and twisted sectors
simultaneously.
| [
{
"created": "Thu, 2 Sep 2004 22:45:45 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Apr 2005 21:23:37 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Brown",
"Jeffrey",
""
],
[
"Ganguli",
"Surya",
""
],
[
"Ganor",
"Ori J.",
""
],
[
"Helfgott",
"Craig",
""
]
] | We study Z2 orbifolds of M-theory in terms of E10. We find a simple relation between the Z2 action on E10 and the imaginary root that corresponds [hep-th/0401053] to the "twisted sector" branes. We discuss the connection between the Kac-Moody algebra DE10 and the "untwisted" sector, and we demonstrate how DE18 can describe both the untwisted and twisted sectors simultaneously. |
2305.02884 | K\'evin Nguyen | Kevin Nguyen and Peter West | Carrollian conformal fields and flat holography | 21 pages + appendix; v2: additional references and comments; v3:
published version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The null conformal boundary $\mathscr{I}$ of Minkowski spacetime $\mathbb{M}$
plays a special role in scattering theory, as it is the locus where massless
particle states are most naturally defined. We construct quantum fields on
$\mathscr{I}$ which create these massless states from the vacuum and transform
covariantly under Poincar\'e symmetries. Since the latter symmetries act as
Carrollian conformal isometries of $\mathscr{I}$, these quantum fields are
Carrollian conformal fields. This group theoretic construction is intrinsic to
$\mathscr{I}$ by contrast to existing treatments in the literature. However we
also show that the standard relativistic massless quantum fields in
$\mathbb{M}$, when pulled back to $\mathscr{I}$, provide a realisation of these
Carrollian conformal fields. This correspondence between bulk and boundary
fields should constitute a basic entry in the dictionary of flat holography.
Finally we show that $\mathscr{I}$ provides a natural parametrisation of the
massless particles as described by irreducible representations of the
Poincar\'e group, and that in an appropriate conjugate basis they indeed
transform like Carrollian conformal fields.
| [
{
"created": "Thu, 4 May 2023 14:47:27 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jun 2023 11:52:47 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Aug 2023 12:47:35 GMT",
"version": "v3"
}
] | 2023-08-29 | [
[
"Nguyen",
"Kevin",
""
],
[
"West",
"Peter",
""
]
] | The null conformal boundary $\mathscr{I}$ of Minkowski spacetime $\mathbb{M}$ plays a special role in scattering theory, as it is the locus where massless particle states are most naturally defined. We construct quantum fields on $\mathscr{I}$ which create these massless states from the vacuum and transform covariantly under Poincar\'e symmetries. Since the latter symmetries act as Carrollian conformal isometries of $\mathscr{I}$, these quantum fields are Carrollian conformal fields. This group theoretic construction is intrinsic to $\mathscr{I}$ by contrast to existing treatments in the literature. However we also show that the standard relativistic massless quantum fields in $\mathbb{M}$, when pulled back to $\mathscr{I}$, provide a realisation of these Carrollian conformal fields. This correspondence between bulk and boundary fields should constitute a basic entry in the dictionary of flat holography. Finally we show that $\mathscr{I}$ provides a natural parametrisation of the massless particles as described by irreducible representations of the Poincar\'e group, and that in an appropriate conjugate basis they indeed transform like Carrollian conformal fields. |
hep-th/0512038 | Edward Shuryak | V.V. Flambaum and E.V. Shuryak | Possible evidence for "dark radiation" from Big Bang Nucleosynthesis
Data | We found that references to some nhumbers from unpublished ref.3 in
v1 lead to confusion of some readers: we decided to removed those in v2 | Europhys.Lett.74:813-816,2006 | 10.1209/epl/i2006-10031-y | null | hep-th astro-ph gr-qc hep-ph nucl-th | null | We address the emerging discrepancy between the Big Bang Nucleosynthesis data
and standard cosmology, which asks for a bit longer evolution time. If this
effect is real, one possible implication (in a framework of brane cosmology
model) is that there is a ``dark radiation'' component which is negative and
makes few percents of ordinary matter density. If so, all scales of this model
can be fixed, provided brane-to-bulk leakage problem is solved.
| [
{
"created": "Sun, 4 Dec 2005 22:45:09 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2006 16:44:44 GMT",
"version": "v2"
}
] | 2009-08-18 | [
[
"Flambaum",
"V. V.",
""
],
[
"Shuryak",
"E. V.",
""
]
] | We address the emerging discrepancy between the Big Bang Nucleosynthesis data and standard cosmology, which asks for a bit longer evolution time. If this effect is real, one possible implication (in a framework of brane cosmology model) is that there is a ``dark radiation'' component which is negative and makes few percents of ordinary matter density. If so, all scales of this model can be fixed, provided brane-to-bulk leakage problem is solved. |
1002.2429 | Masaki Shigemori | Ardian Nata Atmaja, Jan de Boer, and Masaki Shigemori | Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas | 62 pages (39 pages + 5 appendices), 6 figures. v2: journal version | Nucl. Phys. B 880C (2014) 23-75 | 10.1016/j.nuclphysb.2013.12.018 | ITFA-2010-06 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Brownian motion of a heavy quark in field theory plasma in the
AdS/CFT setup and discuss the time scales characterizing the interaction
between the Brownian particle and plasma constituents. In particular, the
mean-free-path time is related to the connected 4-point function of the random
force felt by the Brownian particle. By holographically computing the 4-point
function and regularizing the IR divergence appearing in the computation, we
write down a general formula for the mean-free-path time, and apply it to the
STU black hole which corresponds to plasma charged under three U(1) R-charges.
The result indicates that the Brownian particle collides with many plasma
constituents simultaneously.
| [
{
"created": "Fri, 12 Feb 2010 16:55:50 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2014 03:12:03 GMT",
"version": "v2"
}
] | 2014-01-28 | [
[
"Atmaja",
"Ardian Nata",
""
],
[
"de Boer",
"Jan",
""
],
[
"Shigemori",
"Masaki",
""
]
] | We study Brownian motion of a heavy quark in field theory plasma in the AdS/CFT setup and discuss the time scales characterizing the interaction between the Brownian particle and plasma constituents. In particular, the mean-free-path time is related to the connected 4-point function of the random force felt by the Brownian particle. By holographically computing the 4-point function and regularizing the IR divergence appearing in the computation, we write down a general formula for the mean-free-path time, and apply it to the STU black hole which corresponds to plasma charged under three U(1) R-charges. The result indicates that the Brownian particle collides with many plasma constituents simultaneously. |
hep-th/0110252 | Esko Keski-Vakkuri | Samuli Hemming and Esko Keski-Vakkuri (Helsinki Inst. of Physics) | The spectrum of strings on BTZ black holes and spectral flow in the
SL(2,R) WZW model | 16 pages, LaTeX2e. v2: Added a discussion of the continuous spacetime
string energy spectrum, corrected some typos | Nucl.Phys. B626 (2002) 363-376 | 10.1016/S0550-3213(02)00021-4 | HIP-2001-56/TH | hep-th | null | We study the spectrum of bosonic string theory on rotating BTZ black holes,
using a SL(2,R) WZW model. Previously, Natsuume and Satoh have analyzed strings
on BTZ black holes using orbifold techniques. We show how an appropriate
spectral flow in the WZW model can be used to generate the twisted sectors,
emphasizing how the spectral flow works in the hyperbolic basis natural for the
BTZ black hole. We discuss the projection condition which leads to the
quantization condition for the allowed quantum numbers for the string
excitations, and its connection to the anomaly in the corresponding conserved
Noether current.
| [
{
"created": "Mon, 29 Oct 2001 17:05:04 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2001 18:53:57 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Hemming",
"Samuli",
"",
"Helsinki Inst. of Physics"
],
[
"Keski-Vakkuri",
"Esko",
"",
"Helsinki Inst. of Physics"
]
] | We study the spectrum of bosonic string theory on rotating BTZ black holes, using a SL(2,R) WZW model. Previously, Natsuume and Satoh have analyzed strings on BTZ black holes using orbifold techniques. We show how an appropriate spectral flow in the WZW model can be used to generate the twisted sectors, emphasizing how the spectral flow works in the hyperbolic basis natural for the BTZ black hole. We discuss the projection condition which leads to the quantization condition for the allowed quantum numbers for the string excitations, and its connection to the anomaly in the corresponding conserved Noether current. |
1409.5358 | Bayram Tekin | Bayram Tekin | Minimal Massive Gravity: Conserved Charges, Excitations and the Chiral
Gravity Limit | 9 pages, reference added, typos corrected | Phys. Rev. D 90, 081701 (2014) | 10.1103/PhysRevD.90.081701 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the excitations and construct the conserved charges ( mass and
angular momentum) of the recently found Minimal Massive Gravity (MMG) in 2+1
dimensions in asymptotically Anti-de Sitter (AdS) spacetimes. The field
equation of the theory does not come from an action and hence lacks the
required Bianchi Identity needed to define conserved charges. But the theory,
which also provides a healthy extension of the Topologically Massive Gravity in
the bulk and boundary of spacetime, does admit conserved charges for metric
that are solutions. Our construction is based on background Killing vectors and
imperative to provide physical meaning to the integration constants in the
black hole type metrics. We also study the chiral gravity limit of MMG.
| [
{
"created": "Thu, 18 Sep 2014 16:12:55 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Sep 2014 12:55:39 GMT",
"version": "v2"
}
] | 2014-10-22 | [
[
"Tekin",
"Bayram",
""
]
] | We find the excitations and construct the conserved charges ( mass and angular momentum) of the recently found Minimal Massive Gravity (MMG) in 2+1 dimensions in asymptotically Anti-de Sitter (AdS) spacetimes. The field equation of the theory does not come from an action and hence lacks the required Bianchi Identity needed to define conserved charges. But the theory, which also provides a healthy extension of the Topologically Massive Gravity in the bulk and boundary of spacetime, does admit conserved charges for metric that are solutions. Our construction is based on background Killing vectors and imperative to provide physical meaning to the integration constants in the black hole type metrics. We also study the chiral gravity limit of MMG. |
1611.09113 | Valentin Zakharov I | V.I. Zakharov | Notes on conservation laws in chiral hydrodynamics | 13 pages, 0 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider chiral fluids within the standard framework of a chiral-invariant
underlying field theory, anomalous in presence of electromagnetic fields. Apart
from the Noether axial current of the underlying theory, in the limit of ideal
fluid there exist extra conserved currents, corresponding to classical helical
motions. The extra conservation laws are known to break down once viscosity is
non-vanishing. Which looks puzzling, as if introduction of viscosity were
inconsistent with chiral invariance. As a resolution of the puzzle, we argue
that locally one can introduce an inertial frame where an extra conservation
law still holds. In other words, the extra currents are covariantly conserved.
The emergent gravitational field is determined by dynamics of the viscous
fluid. We turn then to instabilities of chiral plasma against decays into
helical magnetic or vortical configurations. We emphasise similarity between
the two cases in the far infrared region, responsible for the decays. This
similarity is not apparent within the standard counting of orders in derivative
expansion. The material was originally prepared for a review talk by the
author.
| [
{
"created": "Mon, 28 Nov 2016 13:42:20 GMT",
"version": "v1"
}
] | 2016-11-29 | [
[
"Zakharov",
"V. I.",
""
]
] | We consider chiral fluids within the standard framework of a chiral-invariant underlying field theory, anomalous in presence of electromagnetic fields. Apart from the Noether axial current of the underlying theory, in the limit of ideal fluid there exist extra conserved currents, corresponding to classical helical motions. The extra conservation laws are known to break down once viscosity is non-vanishing. Which looks puzzling, as if introduction of viscosity were inconsistent with chiral invariance. As a resolution of the puzzle, we argue that locally one can introduce an inertial frame where an extra conservation law still holds. In other words, the extra currents are covariantly conserved. The emergent gravitational field is determined by dynamics of the viscous fluid. We turn then to instabilities of chiral plasma against decays into helical magnetic or vortical configurations. We emphasise similarity between the two cases in the far infrared region, responsible for the decays. This similarity is not apparent within the standard counting of orders in derivative expansion. The material was originally prepared for a review talk by the author. |
1802.00498 | Natalia Alkofer | Natalia Alkofer and Frank Saueressig | Asymptotically safe f(R)-gravity coupled to matter I: the polynomial
case | 49 pages, 5 figures | null | 10.1016/j.aop.2018.07.017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the functional renormalization group equation for the effective
average action to study the non-Gaussian renormalization group fixed points
(NGFPs) arising within the framework of f(R)-gravity minimally coupled to an
arbitrary number of scalar, Dirac, and vector fields. Based on this setting we
provide comprehensible estimates which gravity-matter systems give rise to
NGFPs suitable for rendering the theory asymptotically safe. The analysis
employs an exponential split of the metric fluctuations and retains a
7-parameter family of coarse-graining operators allowing the inclusion of
non-trivial endomorphisms in the regularization procedure. For vanishing
endomorphisms, it is established that gravity coupled to the matter content of
the standard model of particle physics and many beyond the standard model
extensions exhibit NGFPs whose properties are strikingly similar to the case of
pure gravity: there are two UV-relevant directions and the position and
critical exponents converge rapidly when higher powers of the scalar curvature
are included. Conversely, none of the phenomenologically interesting
gravity-matter systems exhibits a stable NGFP when a Type II coarse graining
operator is employed. Our analysis resolves this tension by demonstrating that
the NGFPs seen in the two settings belong to different universality classes.
| [
{
"created": "Thu, 1 Feb 2018 21:44:33 GMT",
"version": "v1"
}
] | 2018-08-15 | [
[
"Alkofer",
"Natalia",
""
],
[
"Saueressig",
"Frank",
""
]
] | We use the functional renormalization group equation for the effective average action to study the non-Gaussian renormalization group fixed points (NGFPs) arising within the framework of f(R)-gravity minimally coupled to an arbitrary number of scalar, Dirac, and vector fields. Based on this setting we provide comprehensible estimates which gravity-matter systems give rise to NGFPs suitable for rendering the theory asymptotically safe. The analysis employs an exponential split of the metric fluctuations and retains a 7-parameter family of coarse-graining operators allowing the inclusion of non-trivial endomorphisms in the regularization procedure. For vanishing endomorphisms, it is established that gravity coupled to the matter content of the standard model of particle physics and many beyond the standard model extensions exhibit NGFPs whose properties are strikingly similar to the case of pure gravity: there are two UV-relevant directions and the position and critical exponents converge rapidly when higher powers of the scalar curvature are included. Conversely, none of the phenomenologically interesting gravity-matter systems exhibits a stable NGFP when a Type II coarse graining operator is employed. Our analysis resolves this tension by demonstrating that the NGFPs seen in the two settings belong to different universality classes. |
hep-th/0407106 | Yoshiaki Tanii | M. Nishimura, Y. Tanii | Perturbations and Supersymmetries in AdS_3/CFT_2 | 23 pages, LaTeX, Minor changes | Nucl.Phys. B701 (2004) 103-120 | 10.1016/j.nuclphysb.2004.08.050 | UUITP-18/04, STUPP-04-176 | hep-th | null | Symmetry breaking by perturbations in the AdS/CFT correspondence is
discussed. Perturbations of vector fields to the AdS_3 x S^3 solution of the
six-dimensional N=(4,4) supergravity are considered. These perturbations are
identified as descendents of chiral primary operators of a two-dimensional
N=(4,4) CFT with conformal weight (2,2) or (1,1). We examine unbroken
symmetries by the perturbations in the CFT side as well as in the supergravity
side and find the same result: the N=(4,2) or N=(2,4) Poincare supersymmetry
for the (2,2) perturbation and the N=(0,4) or N=(4,0) superconformal symmetry
for the (1,1) perturbation.
| [
{
"created": "Tue, 13 Jul 2004 17:29:21 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jul 2004 16:07:05 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Nishimura",
"M.",
""
],
[
"Tanii",
"Y.",
""
]
] | Symmetry breaking by perturbations in the AdS/CFT correspondence is discussed. Perturbations of vector fields to the AdS_3 x S^3 solution of the six-dimensional N=(4,4) supergravity are considered. These perturbations are identified as descendents of chiral primary operators of a two-dimensional N=(4,4) CFT with conformal weight (2,2) or (1,1). We examine unbroken symmetries by the perturbations in the CFT side as well as in the supergravity side and find the same result: the N=(4,2) or N=(2,4) Poincare supersymmetry for the (2,2) perturbation and the N=(0,4) or N=(4,0) superconformal symmetry for the (1,1) perturbation. |
hep-th/9712080 | David McMullan | Emili Bagan, Martin Lavelle, David McMullan | Soft Dynamics and Gauge Theories | 10 pages, 8 figures; version to appear in Phys. Rev. D [RC], minor
clarifications | Phys.Rev.D57:4521-4524,1998 | 10.1103/PhysRevD.57.4521 | UAB-FT-417 | hep-th hep-ph | null | Infra-red divergences obscure the underlying soft dynamics in gauge theories.
They remove the pole structures associated with particle propagation in the
various Green's functions of gauge theories. Here we present a solution to this
problem. We give two equations which describe how charged particles must be
dressed by gauge degrees of freedom. One follows from gauge invariance, the
other, which is new, from velocity superselection rules familiar from the heavy
quark effective theory. The solution to these equations in the abelian theory
is proven to lead to on-shell Green's functions that are free of soft
divergences at all orders in perturbation theory.
| [
{
"created": "Mon, 8 Dec 1997 16:22:29 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 1998 16:39:13 GMT",
"version": "v2"
}
] | 2009-12-30 | [
[
"Bagan",
"Emili",
""
],
[
"Lavelle",
"Martin",
""
],
[
"McMullan",
"David",
""
]
] | Infra-red divergences obscure the underlying soft dynamics in gauge theories. They remove the pole structures associated with particle propagation in the various Green's functions of gauge theories. Here we present a solution to this problem. We give two equations which describe how charged particles must be dressed by gauge degrees of freedom. One follows from gauge invariance, the other, which is new, from velocity superselection rules familiar from the heavy quark effective theory. The solution to these equations in the abelian theory is proven to lead to on-shell Green's functions that are free of soft divergences at all orders in perturbation theory. |
hep-th/0003256 | Andre Lukas | Matthias Braendle, Andre Lukas and Burt A. Ovrut | Heterotic M-Theory Cosmology in Four and Five Dimensions | 15 pages, Latex, 1 eps figure | Phys.Rev. D63 (2001) 026003 | 10.1103/PhysRevD.63.026003 | OUTP-00-06P | hep-th | null | We study rolling radii solutions in the context of the four- and
five-dimensional effective actions of heterotic M-theory. For the standard
four-dimensional solutions with varying dilaton and T-modulus, we find
approximate five-dimensional counterparts. These are new, generically
non-separating solutions corresponding to a pair of five-dimensional domain
walls evolving in time. Loop corrections in the four-dimensional theory are
described by certain excitations of fields in the fifth dimension. We point out
that the two exact separable solutions previously discovered are precisely the
special cases for which the loop corrections are time-independent. Generically,
loop corrections vary with time. Moreover, for a subset of solutions they
increase in time, evolving into complicated, non-separating solutions. In this
paper we compute these solutions to leading, non-trivial order. Using the
equations for the induced brane metric, we present a general argument showing
that the accelerating backgrounds of this type cannot evolve smoothly into
decelerating backgrounds.
| [
{
"created": "Tue, 28 Mar 2000 09:27:41 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Braendle",
"Matthias",
""
],
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt A.",
""
]
] | We study rolling radii solutions in the context of the four- and five-dimensional effective actions of heterotic M-theory. For the standard four-dimensional solutions with varying dilaton and T-modulus, we find approximate five-dimensional counterparts. These are new, generically non-separating solutions corresponding to a pair of five-dimensional domain walls evolving in time. Loop corrections in the four-dimensional theory are described by certain excitations of fields in the fifth dimension. We point out that the two exact separable solutions previously discovered are precisely the special cases for which the loop corrections are time-independent. Generically, loop corrections vary with time. Moreover, for a subset of solutions they increase in time, evolving into complicated, non-separating solutions. In this paper we compute these solutions to leading, non-trivial order. Using the equations for the induced brane metric, we present a general argument showing that the accelerating backgrounds of this type cannot evolve smoothly into decelerating backgrounds. |
hep-th/0404112 | Matthias R. Gaberdiel | Matthias R Gaberdiel, Terry Gannon and Daniel Roggenkamp | The coset D-branes of SU(n) | 12 pages | JHEP0410:047,2004 | 10.1088/1126-6708/2004/10/047 | null | hep-th | null | Using a nested coset construction a collection of D-branes that appear to
generate all the K-theory charges of string theory on SU(n) are constructed and
their charges are determined.
| [
{
"created": "Fri, 16 Apr 2004 14:45:35 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gaberdiel",
"Matthias R",
""
],
[
"Gannon",
"Terry",
""
],
[
"Roggenkamp",
"Daniel",
""
]
] | Using a nested coset construction a collection of D-branes that appear to generate all the K-theory charges of string theory on SU(n) are constructed and their charges are determined. |
1004.1222 | Takuya Okuda | Takuya Okuda and Vasily Pestun | On the instantons and the hypermultiplet mass of N=2* super Yang-Mills
on S^4 | 9 pages | null | 10.1007/JHEP03(2012)017 | ITEP-TH-04/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the physical N=4 super Yang-Mills theory on a four-sphere with
an arbitrary gauge group receives no instanton contributions, by clarifying the
relation between the hypermultiplet mass and the equivariant parameters of the
mass-deformed theory preserving N=2 supersymmetry. The correct relation also
implies that N=4 superconformal Yang-Mills theory with gauge group SU(2)
corresponds to Liouville theory on a torus with the insertion of a non-trivial
operator, rather than the identity as have been claimed in the literature.
| [
{
"created": "Thu, 8 Apr 2010 02:22:23 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Okuda",
"Takuya",
""
],
[
"Pestun",
"Vasily",
""
]
] | We show that the physical N=4 super Yang-Mills theory on a four-sphere with an arbitrary gauge group receives no instanton contributions, by clarifying the relation between the hypermultiplet mass and the equivariant parameters of the mass-deformed theory preserving N=2 supersymmetry. The correct relation also implies that N=4 superconformal Yang-Mills theory with gauge group SU(2) corresponds to Liouville theory on a torus with the insertion of a non-trivial operator, rather than the identity as have been claimed in the literature. |
hep-th/9711149 | Abdel-Khalek Khaled | Khaled Abdel-Khalek (INFN/Lecce Univ.) | The Compatibility between the Higher Dimensions Self Duality and the
Yang-Mills Equation of Motion | LaTeX file | null | null | null | hep-th | null | We study the compatiblity between the higher dimension dualities and the
Yang-Mills equation of motion. Taking a 't Hooft solution as a starting point,
we come to the conclusion that for only 4 dimensions the self duality implies
the equation of motion for generic instanton size. Whereas in higher
dimensions, the self duality is compatable with the equation of motion,
approximately, for small instanton size i.e. the zero curvature condition. At
the mathematical level, the self duality is still useful since it transforms a
second order into a first order differential equation.
| [
{
"created": "Wed, 19 Nov 1997 14:14:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abdel-Khalek",
"Khaled",
"",
"INFN/Lecce Univ."
]
] | We study the compatiblity between the higher dimension dualities and the Yang-Mills equation of motion. Taking a 't Hooft solution as a starting point, we come to the conclusion that for only 4 dimensions the self duality implies the equation of motion for generic instanton size. Whereas in higher dimensions, the self duality is compatable with the equation of motion, approximately, for small instanton size i.e. the zero curvature condition. At the mathematical level, the self duality is still useful since it transforms a second order into a first order differential equation. |
0810.1661 | Greg van Anders | Hsien-Hang Shieh and Greg van Anders | Comments on Holographic Fermi Surfaces | 14 pages, 1 figure. v2: 18 pages, improved presentation, expanded
discussion, minor corrections, references added | JHEP 0903:019,2009 | 10.1088/1126-6708/2009/03/019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, a mechanism for the development of a fermi surface in a holographic
model of large N QCD with a baryon chemical potential was proposed. We examine
similar constructions to determine when this mechanism persists. We find a
class of models in which it does.
| [
{
"created": "Thu, 9 Oct 2008 14:36:34 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Feb 2009 15:05:37 GMT",
"version": "v2"
}
] | 2009-03-27 | [
[
"Shieh",
"Hsien-Hang",
""
],
[
"van Anders",
"Greg",
""
]
] | Recently, a mechanism for the development of a fermi surface in a holographic model of large N QCD with a baryon chemical potential was proposed. We examine similar constructions to determine when this mechanism persists. We find a class of models in which it does. |
hep-th/0203076 | Riccardo D'Auria | L. Andrianopoli and R. D'Auria | Extremal Black Holes in Supergravity and the Bekenstein-Hawking Entropy | LaTeX, 65 pages. Contribution to the journal ``Entropy'', ISSN
1099-4300 | Entropy 4:65-127,2002 | 10.3390/e4030065 | null | hep-th | null | We review some results on the connection among supergravity central charges,
BPS states and Bekenstein-Hawking entropy. In particular, N=2 supergravity in
four dimensions is studied in detail. For higher N supergravities we just give
an account of the general theory specializing the discussion to the N=8 case
when one half of supersymmetry is preserved. We stress the fact that for
extremal supergravity black holes the entropy formula is topological, that is
the entropy turns out to be a moduli independent quantity and can be written in
terms of invariants of the duality group of the supergravity theory.
| [
{
"created": "Fri, 8 Mar 2002 14:38:36 GMT",
"version": "v1"
}
] | 2011-05-23 | [
[
"Andrianopoli",
"L.",
""
],
[
"D'Auria",
"R.",
""
]
] | We review some results on the connection among supergravity central charges, BPS states and Bekenstein-Hawking entropy. In particular, N=2 supergravity in four dimensions is studied in detail. For higher N supergravities we just give an account of the general theory specializing the discussion to the N=8 case when one half of supersymmetry is preserved. We stress the fact that for extremal supergravity black holes the entropy formula is topological, that is the entropy turns out to be a moduli independent quantity and can be written in terms of invariants of the duality group of the supergravity theory. |
1401.4217 | Claudio Benedito Silva Furtado | Josevi Carvalho, Alexandre M. de M. Carvalho and Claudio Furtado | Quantum Influence of Topological Defects in G\"odel-type Space-times | 14 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this contribution, some solutions of the Klein-Gordon equation in the
G\"odel-type metrics with an embedded cosmic string are considered. The quantum
dynamics of a scalar particle in three spaces whose metric is described by
different classes of G\"odel solution, with a cosmic string passing through the
spaces, is found. The energy levels and eigenfunctions of the Klein-Gordon
operator are obtained. We show that these eigenvalues and eigenfunctions depend
on the parameter characterizing the presence of a cosmic string in the
space-time. We note that the presence of topological defects breaks the
degeneracy of energy levels.
| [
{
"created": "Fri, 17 Jan 2014 01:30:51 GMT",
"version": "v1"
}
] | 2014-01-20 | [
[
"Carvalho",
"Josevi",
""
],
[
"Carvalho",
"Alexandre M. de M.",
""
],
[
"Furtado",
"Claudio",
""
]
] | In this contribution, some solutions of the Klein-Gordon equation in the G\"odel-type metrics with an embedded cosmic string are considered. The quantum dynamics of a scalar particle in three spaces whose metric is described by different classes of G\"odel solution, with a cosmic string passing through the spaces, is found. The energy levels and eigenfunctions of the Klein-Gordon operator are obtained. We show that these eigenvalues and eigenfunctions depend on the parameter characterizing the presence of a cosmic string in the space-time. We note that the presence of topological defects breaks the degeneracy of energy levels. |
0902.3908 | Ilarion Melnikov | Ilarion V. Melnikov | (0,2) Landau-Ginzburg Models and Residues | 25 pages; typos fixed; published version | JHEP 0909:118,2009 | 10.1088/1126-6708/2009/09/118 | AEI-2009-019 | hep-th math.AC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the topological heterotic ring in (0,2) Landau-Ginzburg models
without a (2,2) locus. The ring elements correspond to elements of the Koszul
cohomology groups associated to a zero-dimensional ideal in a polynomial ring,
and the computation of half-twisted genus zero correlators reduces to a map
from the first non-trivial Koszul cohomology group to complex numbers. This map
is a generalization of the local Grothendieck residue. The results may be
applied to computations of Yukawa couplings in a heterotic compactification at
a Landau-Ginzburg point.
| [
{
"created": "Mon, 23 Feb 2009 14:04:40 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Mar 2009 10:56:41 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Oct 2009 08:13:41 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Melnikov",
"Ilarion V.",
""
]
] | We study the topological heterotic ring in (0,2) Landau-Ginzburg models without a (2,2) locus. The ring elements correspond to elements of the Koszul cohomology groups associated to a zero-dimensional ideal in a polynomial ring, and the computation of half-twisted genus zero correlators reduces to a map from the first non-trivial Koszul cohomology group to complex numbers. This map is a generalization of the local Grothendieck residue. The results may be applied to computations of Yukawa couplings in a heterotic compactification at a Landau-Ginzburg point. |
1303.5765 | Kazunobu Maruyoshi | Yuto Ito, Kazunobu Maruyoshi, Takuya Okuda | Scheme dependence of instanton counting in ALE spaces | 17 pages; v2: published version | null | 10.1007/JHEP05(2013)045 | UT-Komaba/13-3, CALT-68-2923 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There have been two distinct schemes studied in the literature for instanton
counting in A_{p-1} asymptotically locally Euclidean (ALE) spaces. We point out
that the two schemes---namely the counting of orbifolded instantons and
instanton counting in the resolved space---lead in general to different results
for partition functions. We illustrate this observation in the case of N=2 U(N)
gauge theory with 2N flavors on the A_{p-1} ALE space. We propose simple
relations between the instanton partition functions given by the two schemes
and test them by explicit calculations.
| [
{
"created": "Fri, 22 Mar 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2013 03:29:10 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Ito",
"Yuto",
""
],
[
"Maruyoshi",
"Kazunobu",
""
],
[
"Okuda",
"Takuya",
""
]
] | There have been two distinct schemes studied in the literature for instanton counting in A_{p-1} asymptotically locally Euclidean (ALE) spaces. We point out that the two schemes---namely the counting of orbifolded instantons and instanton counting in the resolved space---lead in general to different results for partition functions. We illustrate this observation in the case of N=2 U(N) gauge theory with 2N flavors on the A_{p-1} ALE space. We propose simple relations between the instanton partition functions given by the two schemes and test them by explicit calculations. |
0901.0262 | Hamzeh Alavirad | H. Alavirad | Slowly Rotating Black Holes in Brans-Dicke-Maxwell Theory | 12 Pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we construct a class of (n+1)-dimensional $(n\geq4)$ slowly
rotating black hole solutions in Brans-Dicke-Maxwell theory with a quadratic
potential. These solutions can represent black holes with inner and outer event
horizons, an extreme black hole and a naked singularity and they are neither
asymptotically flat nor (anti)-de Sitter. We compute the Euclidean action and
use it to obtain the conserved and thermodynamics quantities such as entropy,
which does not obey the area law. We also compute the angular momentum and the
gyromagnetic ratio for these type of black holes where the gyromagnetic ratio
is modified in Brans-Dicke theory compared to the Einstein theory.
| [
{
"created": "Fri, 2 Jan 2009 18:05:09 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Feb 2009 12:29:30 GMT",
"version": "v2"
},
{
"created": "Sun, 18 Jul 2010 14:28:06 GMT",
"version": "v3"
}
] | 2010-07-20 | [
[
"Alavirad",
"H.",
""
]
] | In this paper, we construct a class of (n+1)-dimensional $(n\geq4)$ slowly rotating black hole solutions in Brans-Dicke-Maxwell theory with a quadratic potential. These solutions can represent black holes with inner and outer event horizons, an extreme black hole and a naked singularity and they are neither asymptotically flat nor (anti)-de Sitter. We compute the Euclidean action and use it to obtain the conserved and thermodynamics quantities such as entropy, which does not obey the area law. We also compute the angular momentum and the gyromagnetic ratio for these type of black holes where the gyromagnetic ratio is modified in Brans-Dicke theory compared to the Einstein theory. |
hep-th/0306221 | Enrico Deotto | E. Gozzi and M. Reuter | Quantum Deformed Canonical Transformations, W_{\infty}-algebras and
Unitary Transformations | TeX file with phyzzs macro, 23 pages, no figures | Int.J.Mod.Phys. A9 (1994) 5801-5820 | 10.1142/S0217751X94002405 | null | hep-th | null | We investigate the algebraic properties of the quantum counterpart of the
classical canonical transformations using the symbol-calculus approach to
quantum mechanics. In this framework we construct a set of pseudo-differential
operators which act on the symbols of operators, i.e., on functions defined
over phase-space. They act as operatorial left- and right- multiplication and
form a $W_{\infty}\times W_{\infty}$- algebra which contracts to its diagonal
subalgebra in the classical limit. We also describe the Gel'fand-Naimark-Segal
(GNS) construction in this language and show that the GNS representation-space
(a doubled Hilbert space) is closely related to the algebra of functions over
phase-space equipped with the star-product of the symbol-calculus.
| [
{
"created": "Mon, 23 Jun 2003 14:29:10 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Gozzi",
"E.",
""
],
[
"Reuter",
"M.",
""
]
] | We investigate the algebraic properties of the quantum counterpart of the classical canonical transformations using the symbol-calculus approach to quantum mechanics. In this framework we construct a set of pseudo-differential operators which act on the symbols of operators, i.e., on functions defined over phase-space. They act as operatorial left- and right- multiplication and form a $W_{\infty}\times W_{\infty}$- algebra which contracts to its diagonal subalgebra in the classical limit. We also describe the Gel'fand-Naimark-Segal (GNS) construction in this language and show that the GNS representation-space (a doubled Hilbert space) is closely related to the algebra of functions over phase-space equipped with the star-product of the symbol-calculus. |
hep-th/0105036 | Youm Donam | Donam Youm | The Cardy-Verlinde Formula and Asymptotically Flat Charged Black Holes | 6 pages, LaTeX, references added | Mod.Phys.Lett. A16 (2001) 1263-1268 | 10.1142/S0217732301004522 | IC/2001/28 | hep-th | null | We show that the modified Cardy-Verlinde formula without the Casimir effect
term is satisfied by asymptotically flat charged black holes in arbitrary
dimensions. Thermodynamic quantities of the charged black holes are shown to
satisfy the energy-temperature relation of a two-dimensional CFT, which
supports the claim in our previous work (Phys. Rev. D61, 044013,
hep-th/9910244) that thermodynamics of charged black holes in higher dimensions
can be effectively described by two-dimensional theories. We also check the
Cardy formula for the two-dimensional black hole compactified from a dilatonic
charged black hole in higher dimensions.
| [
{
"created": "Thu, 3 May 2001 15:33:51 GMT",
"version": "v1"
},
{
"created": "Tue, 8 May 2001 15:18:11 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Youm",
"Donam",
""
]
] | We show that the modified Cardy-Verlinde formula without the Casimir effect term is satisfied by asymptotically flat charged black holes in arbitrary dimensions. Thermodynamic quantities of the charged black holes are shown to satisfy the energy-temperature relation of a two-dimensional CFT, which supports the claim in our previous work (Phys. Rev. D61, 044013, hep-th/9910244) that thermodynamics of charged black holes in higher dimensions can be effectively described by two-dimensional theories. We also check the Cardy formula for the two-dimensional black hole compactified from a dilatonic charged black hole in higher dimensions. |
hep-th/9502097 | Krahe "f." | F. Krahe | On the Algebra of Ghost Fields | Plain TeX, 16 pages | null | null | DIAS-STP-95-02 | hep-th | null | We study in detail the algebra of free ghost fields which we realize in a
Hilbert-Fock space with positive metric. The investigation of causality
clarifies the exact reason for the failure of the spin-statistics theorem and
leads to the introduction of the Krein Operator. We study the charge algebra of
the ghost fields which gives a representation of ${\rm gl}(2,{\cal C})$. The
symmetries of the $S$-matrix in ghost space are pointed out.
| [
{
"created": "Wed, 15 Feb 1995 20:06:16 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Krahe",
"F.",
""
]
] | We study in detail the algebra of free ghost fields which we realize in a Hilbert-Fock space with positive metric. The investigation of causality clarifies the exact reason for the failure of the spin-statistics theorem and leads to the introduction of the Krein Operator. We study the charge algebra of the ghost fields which gives a representation of ${\rm gl}(2,{\cal C})$. The symmetries of the $S$-matrix in ghost space are pointed out. |
2301.10693 | Jean-Francois Mathiot | Jean-Fran\c{c}ois Mathiot | The fate of infrared divergences in a finite formulation of field
theory: QED revisited | 27 pages, 3 figures | null | 10.1142/S0217751X22502049 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | Within the framework of the recently proposed Taylor-Lagrange regularization
procedure, we reanalyze the calculation of radiative corrections in $QED$ at
next to leading order. Starting from a well defined local bare Lagrangian, the
use of this regularization procedure enables us to manipulate fully finite
elementary amplitudes in the ultra-violet as well as infra-red regimes, in
physical $D=4$ space-time dimensions and for physical massless photons, as
required by gauge invariance. We can thus separately calculate the
electromagnetic form factors of the electron and the cross-section for real
photon emission, each quantity being finite in these physical conditions. We
then discuss the renormalization group equations within this regularization
procedure. Thanks to the taming of infra-red divergencies, the renormalization
group equation associated to the (physical) effective charge exhibits an
ultra-violet stable fixed point at $\alpha^*=0$, showing an asymptotic freedom
type behavior. We finally consider the case of two mass scales, one low and one
heavy, paying particular attention to the natural decoupling properties between
heavy and light degrees-of-freedom. As a direct consequence, the fine structure
constant should be zero in the limit of massless electrons.
| [
{
"created": "Wed, 25 Jan 2023 16:55:35 GMT",
"version": "v1"
}
] | 2023-01-26 | [
[
"Mathiot",
"Jean-François",
""
]
] | Within the framework of the recently proposed Taylor-Lagrange regularization procedure, we reanalyze the calculation of radiative corrections in $QED$ at next to leading order. Starting from a well defined local bare Lagrangian, the use of this regularization procedure enables us to manipulate fully finite elementary amplitudes in the ultra-violet as well as infra-red regimes, in physical $D=4$ space-time dimensions and for physical massless photons, as required by gauge invariance. We can thus separately calculate the electromagnetic form factors of the electron and the cross-section for real photon emission, each quantity being finite in these physical conditions. We then discuss the renormalization group equations within this regularization procedure. Thanks to the taming of infra-red divergencies, the renormalization group equation associated to the (physical) effective charge exhibits an ultra-violet stable fixed point at $\alpha^*=0$, showing an asymptotic freedom type behavior. We finally consider the case of two mass scales, one low and one heavy, paying particular attention to the natural decoupling properties between heavy and light degrees-of-freedom. As a direct consequence, the fine structure constant should be zero in the limit of massless electrons. |
hep-th/0211236 | Andrei Marshakov | Vladimir A. Kazakov, Andrei Marshakov | Complex Curve of the Two Matrix Model and its Tau-function | 36 pages, 10 figures, TeX; final version appeared in special issue of
J.Phys. A on Random Matrix Theory | J.Phys.A36:3107-3136,2003 | 10.1088/0305-4470/36/12/315 | LPTENS-02/60, IHES/P/02/83, FIAN/TD-15/02, ITEP/TH-56/02 | hep-th nlin.SI | null | We study the hermitean and normal two matrix models in planar approximation
for an arbitrary number of eigenvalue supports. Its planar graph interpretation
is given. The study reveals a general structure of the underlying analytic
complex curve, different from the hyperelliptic curve of the one matrix model.
The matrix model quantities are expressed through the periods of meromorphic
generating differential on this curve and the partition function of the
multiple support solution, as a function of filling numbers and coefficients of
the matrix potential, is shown to be the quasiclassical tau-function. The
relation to softly broken N=1 supersymmetric Yang-Mills theories is discussed.
A general class of solvable multimatrix models with tree-like interactions is
considered.
| [
{
"created": "Mon, 25 Nov 2002 03:05:58 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Nov 2002 16:59:12 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Dec 2002 21:24:10 GMT",
"version": "v3"
},
{
"created": "Mon, 31 Mar 2003 13:53:38 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Kazakov",
"Vladimir A.",
""
],
[
"Marshakov",
"Andrei",
""
]
] | We study the hermitean and normal two matrix models in planar approximation for an arbitrary number of eigenvalue supports. Its planar graph interpretation is given. The study reveals a general structure of the underlying analytic complex curve, different from the hyperelliptic curve of the one matrix model. The matrix model quantities are expressed through the periods of meromorphic generating differential on this curve and the partition function of the multiple support solution, as a function of filling numbers and coefficients of the matrix potential, is shown to be the quasiclassical tau-function. The relation to softly broken N=1 supersymmetric Yang-Mills theories is discussed. A general class of solvable multimatrix models with tree-like interactions is considered. |
hep-th/9412119 | null | Stefan Mashkevich, Jan Myrheim, K{\aa}re Olaussen and Ronald Rietman | Solution of the Three--Anyon Problem | 15 pages, LaTeX2.09 | Phys.Lett. B348 (1995) 473 | 10.1016/0370-2693(95)00139-C | Theoretical Physics Seminar in Trondheim, No.\ 28, 1994 | hep-th cond-mat | null | We solve, by separation of variables, the problem of three anyons with a
harmonic oscillator potential. The anyonic symmetry conditions from cyclic
permutations are separable in our coordinates. The conditions from two-particle
transpositions are not separable, but can be expressed as reflection symmetry
conditions on the wave function and its normal derivative on the boundary of a
circle. Thus the problem becomes one-dimensional. We solve this problem
numerically by discretization. $N$-point discretization with very small $N$ is
often a good first approximation, on the other hand convergence as $N\to\infty$
is sometimes very slow.
| [
{
"created": "Wed, 14 Dec 1994 10:52:19 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Mashkevich",
"Stefan",
""
],
[
"Myrheim",
"Jan",
""
],
[
"Olaussen",
"Kåre",
""
],
[
"Rietman",
"Ronald",
""
]
] | We solve, by separation of variables, the problem of three anyons with a harmonic oscillator potential. The anyonic symmetry conditions from cyclic permutations are separable in our coordinates. The conditions from two-particle transpositions are not separable, but can be expressed as reflection symmetry conditions on the wave function and its normal derivative on the boundary of a circle. Thus the problem becomes one-dimensional. We solve this problem numerically by discretization. $N$-point discretization with very small $N$ is often a good first approximation, on the other hand convergence as $N\to\infty$ is sometimes very slow. |
2110.00350 | Chi Zhang | Zhenjie Li and Chi Zhang | The Three-loop MHV Octagon from $\bar{Q}$ equations | 20 pages, 1 figure | null | 10.1007/JHEP12(2021)113 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The $\bar{Q}$ equations, rooted in the dual superconformal anomalies, are a
powerful tool for computing amplitudes in planar $\mathcal{N}=4$ supersymmetric
Yang-Mills theory. By using the $\bar{Q}$ equations, we compute the symbol of
the first MHV amplitude with algebraic letters -- the three-loop 8-point
amplitude (or the octagon remainder function) -- in this theory. The symbol
alphabet for this amplitude consists of 204 independent rational letters and
shares the same 18 algebraic letters with the two-loop 8-point NMHV amplitude.
| [
{
"created": "Fri, 1 Oct 2021 12:26:48 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Li",
"Zhenjie",
""
],
[
"Zhang",
"Chi",
""
]
] | The $\bar{Q}$ equations, rooted in the dual superconformal anomalies, are a powerful tool for computing amplitudes in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. By using the $\bar{Q}$ equations, we compute the symbol of the first MHV amplitude with algebraic letters -- the three-loop 8-point amplitude (or the octagon remainder function) -- in this theory. The symbol alphabet for this amplitude consists of 204 independent rational letters and shares the same 18 algebraic letters with the two-loop 8-point NMHV amplitude. |
2205.04912 | Rudnei Ramos | Gustavo O. Heymans, Marcus Benghi Pinto and Rudnei O. Ramos | Quantum phase transitions in a bidimensional $O(N) \times
{\mathbb{Z}_2}$ scalar field model | 22 pages, 6 figures. Replaced with version matching the one published
in the JHEP. Minimal changes | JHEP 08 (2022) 028 | 10.1007/JHEP08(2022)028 | null | hep-th cond-mat.soft hep-ph | http://creativecommons.org/licenses/by/4.0/ | We analyze the possible quantum phase transition patterns occurring within
the $O(N) \times {\mathbb{Z}_2}$ scalar multi-field model at vanishing
temperatures in $(1+1)$-dimensions. The physical masses associated with the two
coupled scalar sectors are evaluated using the loop approximation up to second
order. We observe that in the strong coupling regime, the breaking $O(N) \times
{\mathbb{Z}_2} \to O(N)$, which is allowed by the
Mermin-Wagner-Hohenberg-Coleman theorem, can take place through a second-order
phase transition. In order to satisfy this no-go theorem, the $O(N)$ sector
must have a finite mass gap for all coupling values, such that conformality is
never attained, in opposition to what happens in the simpler ${\mathbb{Z}_2}$
version. Our evaluations also show that the sign of the interaction between the
two different fields alters the transition pattern in a significant way. These
results may be relevant to describe the quantum phase transitions taking place
in cold linear systems with competing order parameters. At the same time the
super-renormalizable model proposed here can turn out to be useful as a
prototype to test resummation techniques as well as non-perturbative methods.
| [
{
"created": "Tue, 10 May 2022 14:05:33 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2022 14:44:02 GMT",
"version": "v2"
}
] | 2022-08-05 | [
[
"Heymans",
"Gustavo O.",
""
],
[
"Pinto",
"Marcus Benghi",
""
],
[
"Ramos",
"Rudnei O.",
""
]
] | We analyze the possible quantum phase transition patterns occurring within the $O(N) \times {\mathbb{Z}_2}$ scalar multi-field model at vanishing temperatures in $(1+1)$-dimensions. The physical masses associated with the two coupled scalar sectors are evaluated using the loop approximation up to second order. We observe that in the strong coupling regime, the breaking $O(N) \times {\mathbb{Z}_2} \to O(N)$, which is allowed by the Mermin-Wagner-Hohenberg-Coleman theorem, can take place through a second-order phase transition. In order to satisfy this no-go theorem, the $O(N)$ sector must have a finite mass gap for all coupling values, such that conformality is never attained, in opposition to what happens in the simpler ${\mathbb{Z}_2}$ version. Our evaluations also show that the sign of the interaction between the two different fields alters the transition pattern in a significant way. These results may be relevant to describe the quantum phase transitions taking place in cold linear systems with competing order parameters. At the same time the super-renormalizable model proposed here can turn out to be useful as a prototype to test resummation techniques as well as non-perturbative methods. |
hep-th/0602005 | Navin Sivanandam | Renata Kallosh, Navin Sivanandam, Masoud Soroush | The Non-BPS Black Hole Attractor Equation | 32 Pages, 2 Figures, LaTeX; v2: typos corrected, references added | JHEP 0603:060,2006 | 10.1088/1126-6708/2006/03/060 | SU-ITP-06/03, SLAC-PUB-11660 | hep-th | null | We study the attractor mechanism for extremal non-BPS black holes with an
infinite throat near horizon geometry, developing, as we do so, a physical
argument as to why such a mechanism does not exist in non-extremal cases. We
present a detailed derivation of the non-supersymmetric attractor equation.
This equation defines the stabilization of moduli near the black hole horizon:
the fixed moduli take values specified by electric and magnetic charges
corresponding to the fluxes in a Calabi Yau compactification of string theory.
They also define the so-called double-extremal solutions. In some examples,
studied previously by Tripathy and Trivedi, we solve the equation and show that
the moduli are fixed at values which may also be derived from the critical
points of the black hole potential.
| [
{
"created": "Tue, 31 Jan 2006 23:41:52 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Apr 2006 06:24:45 GMT",
"version": "v2"
}
] | 2011-05-05 | [
[
"Kallosh",
"Renata",
""
],
[
"Sivanandam",
"Navin",
""
],
[
"Soroush",
"Masoud",
""
]
] | We study the attractor mechanism for extremal non-BPS black holes with an infinite throat near horizon geometry, developing, as we do so, a physical argument as to why such a mechanism does not exist in non-extremal cases. We present a detailed derivation of the non-supersymmetric attractor equation. This equation defines the stabilization of moduli near the black hole horizon: the fixed moduli take values specified by electric and magnetic charges corresponding to the fluxes in a Calabi Yau compactification of string theory. They also define the so-called double-extremal solutions. In some examples, studied previously by Tripathy and Trivedi, we solve the equation and show that the moduli are fixed at values which may also be derived from the critical points of the black hole potential. |
hep-th/9910047 | Katsushi Ito | Katsushi Ito | Green-Schwarz Superstrings on AdS_3 and the Boundary N=4 Superconformal
Algebra | 14 pages, latex | Mod.Phys.Lett. A14 (1999) 2379-2392 | 10.1142/S0217732399002467 | YITP-99-59 | hep-th | null | We study the hybrid formulation of Green-Schwarz superstrings on AdS_3 with
NS flux and the boundary N=4 superconformal algebra. We show the equivalence
between the NSR and GS superstrings by a field redefinition. The boundary N=4
superconformal algebra is realized by the free fields of the affine Lie
superalgebra A(1|1)^{(1)}. We also consider the light-cone gauge and obtain the
N=4 super-Liouville theory which describes the effective theory of the single
long string near the singularities of the D1-D5 system.
| [
{
"created": "Wed, 6 Oct 1999 11:03:06 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ito",
"Katsushi",
""
]
] | We study the hybrid formulation of Green-Schwarz superstrings on AdS_3 with NS flux and the boundary N=4 superconformal algebra. We show the equivalence between the NSR and GS superstrings by a field redefinition. The boundary N=4 superconformal algebra is realized by the free fields of the affine Lie superalgebra A(1|1)^{(1)}. We also consider the light-cone gauge and obtain the N=4 super-Liouville theory which describes the effective theory of the single long string near the singularities of the D1-D5 system. |
1506.00339 | Andrei Mironov | A. Mironov and A. Morozov | Towards effective topological field theory for knots | 10 pages + table in Appendix | Nucl.Phys. B899 (2015) 395-413 | 10.1016/j.nuclphysb.2015.08.005 | IITP/TH-05/15 | hep-th math.GT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Construction of (colored) knot polynomials for double-fat graphs is further
generalized to the case when "fingers" and "propagators" are substituting
R-matrices in arbitrary closed braids with m-strands. Original version of
arXiv:1504.00371 corresponds to the case m=2, and our generalizations sheds
additional light on the structure of those mysterious formulas. Explicit
expressions are now combined from Racah matrices of the type $R\otimes
R\otimes\bar R\longrightarrow \bar R$ and mixing matrices in the sectors
$R^{\otimes 3}\longrightarrow Q$. Further extension is provided by composition
rules, allowing to glue two blocks, connected by an m-strand braid (they
generalize the product formula for ordinary composite knots with m=1).
| [
{
"created": "Mon, 1 Jun 2015 03:35:24 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jun 2015 02:14:57 GMT",
"version": "v2"
}
] | 2015-08-31 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | Construction of (colored) knot polynomials for double-fat graphs is further generalized to the case when "fingers" and "propagators" are substituting R-matrices in arbitrary closed braids with m-strands. Original version of arXiv:1504.00371 corresponds to the case m=2, and our generalizations sheds additional light on the structure of those mysterious formulas. Explicit expressions are now combined from Racah matrices of the type $R\otimes R\otimes\bar R\longrightarrow \bar R$ and mixing matrices in the sectors $R^{\otimes 3}\longrightarrow Q$. Further extension is provided by composition rules, allowing to glue two blocks, connected by an m-strand braid (they generalize the product formula for ordinary composite knots with m=1). |
1005.1578 | Daniel Blaschke | Daniel N. Blaschke | A New Approach to Non-Commutative U(N) Gauge Fields | 11 pages; v2 minor corrections | Europhys.Lett.91:11001,2010 | 10.1209/0295-5075/91/11001 | UWThPh-2010-9 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the recently introduced model of arXiv:0912.2634 for non-commutative
U(1) gauge fields, a generalized version of that action for U(N) gauge fields
is put forward. In this approach to non-commutative gauge field theories, UV/IR
mixing effects are circumvented by introducing additional 'soft breaking' terms
in the action which implement an IR damping mechanism. The techniques used are
similar to those of the well-known Gribov-Zwanziger approach to QCD.
| [
{
"created": "Mon, 10 May 2010 15:10:50 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jul 2010 10:30:03 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Blaschke",
"Daniel N.",
""
]
] | Based on the recently introduced model of arXiv:0912.2634 for non-commutative U(1) gauge fields, a generalized version of that action for U(N) gauge fields is put forward. In this approach to non-commutative gauge field theories, UV/IR mixing effects are circumvented by introducing additional 'soft breaking' terms in the action which implement an IR damping mechanism. The techniques used are similar to those of the well-known Gribov-Zwanziger approach to QCD. |
0907.5147 | Alberto Zaffaroni | Ruben Minasian, Michela Petrini and Alberto Zaffaroni | New families of interpolating type IIB backgrounds | 20 pages | JHEP 1004:080,2010 | 10.1007/JHEP04(2010)080 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct new families of interpolating two-parameter solutions of type
IIB supergravity. These correspond to D3-D5 systems on non-compact
six-dimensional manifolds which are T^2 fibrations over Eguchi-Hanson and
multi-center Taub-NUT spaces, respectively. One end of the interpolation
corresponds to a solution with only D5 branes and vanishing NS three-form flux.
A topology changing transition occurs at the other end, where the internal
space becomes a direct product of the four-dimensional surface and the
two-torus and the complexified NS-RR three-form flux becomes imaginary
self-dual. Depending on the choice of the connections on the torus fibre, the
interpolating family has either N=2 or N=1 supersymmetry. In the N=2 case it
can be shown that the solutions are regular.
| [
{
"created": "Wed, 29 Jul 2009 14:50:23 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Minasian",
"Ruben",
""
],
[
"Petrini",
"Michela",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | We construct new families of interpolating two-parameter solutions of type IIB supergravity. These correspond to D3-D5 systems on non-compact six-dimensional manifolds which are T^2 fibrations over Eguchi-Hanson and multi-center Taub-NUT spaces, respectively. One end of the interpolation corresponds to a solution with only D5 branes and vanishing NS three-form flux. A topology changing transition occurs at the other end, where the internal space becomes a direct product of the four-dimensional surface and the two-torus and the complexified NS-RR three-form flux becomes imaginary self-dual. Depending on the choice of the connections on the torus fibre, the interpolating family has either N=2 or N=1 supersymmetry. In the N=2 case it can be shown that the solutions are regular. |
2009.07197 | Raimundo Ivan de Oliveira Junior | R.I. de Oliveira Junior and G. Alencar | Universal Mass Scale for Bosonic Fields in Multi-Brane Worlds | We have separated the results of the previous version in two parts:
this one, that deals just with the universal scale of mass for bosonic
fields, and the other related to the crystal manyfold. The last part will be
published elsewhere | null | 10.1016/j.physletb.2021.136831 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we find an universal mass scale for all $q-$ forms in
multi-brane worlds model. It is known that this model provides an ultralight
mode for the fields. However, to get this, the Lagrangians considered in the
literature are not covariant. In order to solve this, we propose a covariant
version to multi-localize $q-$ form fields. As a consequence of the covariance,
we show that all the $q$-form fields have an ultralight mode with the same mass
as the gravitational one. That way we show that there is an universal mass
scale for the ultralight modes of the bosonic fields. This suggests that a new
physics must emerge, for all these fields, at the same scale.
| [
{
"created": "Tue, 15 Sep 2020 16:19:22 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Nov 2020 18:01:53 GMT",
"version": "v2"
},
{
"created": "Tue, 18 May 2021 15:36:58 GMT",
"version": "v3"
},
{
"created": "Wed, 24 Nov 2021 18:48:21 GMT",
"version": "v4"
}
] | 2021-12-15 | [
[
"Junior",
"R. I. de Oliveira",
""
],
[
"Alencar",
"G.",
""
]
] | In this paper we find an universal mass scale for all $q-$ forms in multi-brane worlds model. It is known that this model provides an ultralight mode for the fields. However, to get this, the Lagrangians considered in the literature are not covariant. In order to solve this, we propose a covariant version to multi-localize $q-$ form fields. As a consequence of the covariance, we show that all the $q$-form fields have an ultralight mode with the same mass as the gravitational one. That way we show that there is an universal mass scale for the ultralight modes of the bosonic fields. This suggests that a new physics must emerge, for all these fields, at the same scale. |
0801.3471 | Roberto Emparan | Roberto Emparan and Harvey S. Reall | Black Holes in Higher Dimensions | 76 pages, 14 figures; review article for Living Reviews in
Relativity. v2: some improvements and refs added | Living Rev.Rel.11:6,2008 | 10.12942/lrr-2008-6 | null | hep-th gr-qc | null | We review black hole solutions of higher-dimensional vacuum gravity, and of
higher-dimensional supergravity theories. The discussion of vacuum gravity is
pedagogical, with detailed reviews of Myers-Perry solutions, black rings, and
solution-generating techniques. We discuss black hole solutions of maximal
supergravity theories, including black holes in anti-de Sitter space. General
results and open problems are discussed throughout.
| [
{
"created": "Wed, 23 Jan 2008 11:52:09 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Feb 2008 15:52:43 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Emparan",
"Roberto",
""
],
[
"Reall",
"Harvey S.",
""
]
] | We review black hole solutions of higher-dimensional vacuum gravity, and of higher-dimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of Myers-Perry solutions, black rings, and solution-generating techniques. We discuss black hole solutions of maximal supergravity theories, including black holes in anti-de Sitter space. General results and open problems are discussed throughout. |
hep-th/0011070 | Pietro Menotti | Luigi Cantini (Scuola Normale Superiore, Pisa), Pietro Menotti
(University of Pisa), Domenico Seminara (University of Florence) | Hamiltonian structure and quantization of 2+1 dimensional gravity
coupled to particles | 34 pages LaTex | Class.Quant.Grav. 18 (2001) 2253-2276 | 10.1088/0264-9381/18/12/302 | IFUP--TH 40/2000, DFF/369/11/2000 | hep-th gr-qc | null | It is shown that the reduced particle dynamics of 2+1 dimensional gravity in
the maximally slicing gauge has hamiltonian form. This is proved directly for
the two body problem and for the three body problem by using the Garnier
equations for isomonodromic transformations. For a number of particles greater
than three the existence of the hamiltonian is shown to be a consequence of a
conjecture by Polyakov which connects the auxiliary parameters of the fuchsian
differential equation which solves the SU(1,1) Riemann-Hilbert problem, to the
Liouville action of the conformal factor which describes the space-metric. We
give the exact diffeomorphism which transforms the expression of the spinning
cone geometry in the Deser, Jackiw, 't Hooft gauge to the maximally slicing
gauge. It is explicitly shown that the boundary term in the action, written in
hamiltonian form gives the hamiltonian for the reduced particle dynamics. The
quantum mechanical translation of the two particle hamiltonian gives rise to
the logarithm of the Laplace-Beltrami operator on a cone whose angular deficit
is given by the total energy of the system irrespective of the masses of the
particles thus proving at the quantum level a conjecture by 't Hooft on the two
particle dynamics. The quantum mechanical Green's function for the two body
problem is given.
| [
{
"created": "Thu, 9 Nov 2000 11:39:15 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Cantini",
"Luigi",
"",
"Scuola Normale Superiore, Pisa"
],
[
"Menotti",
"Pietro",
"",
"University of Pisa"
],
[
"Seminara",
"Domenico",
"",
"University of Florence"
]
] | It is shown that the reduced particle dynamics of 2+1 dimensional gravity in the maximally slicing gauge has hamiltonian form. This is proved directly for the two body problem and for the three body problem by using the Garnier equations for isomonodromic transformations. For a number of particles greater than three the existence of the hamiltonian is shown to be a consequence of a conjecture by Polyakov which connects the auxiliary parameters of the fuchsian differential equation which solves the SU(1,1) Riemann-Hilbert problem, to the Liouville action of the conformal factor which describes the space-metric. We give the exact diffeomorphism which transforms the expression of the spinning cone geometry in the Deser, Jackiw, 't Hooft gauge to the maximally slicing gauge. It is explicitly shown that the boundary term in the action, written in hamiltonian form gives the hamiltonian for the reduced particle dynamics. The quantum mechanical translation of the two particle hamiltonian gives rise to the logarithm of the Laplace-Beltrami operator on a cone whose angular deficit is given by the total energy of the system irrespective of the masses of the particles thus proving at the quantum level a conjecture by 't Hooft on the two particle dynamics. The quantum mechanical Green's function for the two body problem is given. |
1307.5209 | Yassen Stanev | Yassen S. Stanev (INFN, Roma "Tor Vergata") | Constraining conformal field theory with higher spin symmetry in four
dimensions | minor modifications, reference added | null | 10.1016/j.nuclphysb.2013.09.002 | ROM2F/2013/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the constraints on the general form and the singularity structure
of the correlation functions of the symmetric, traceless and conserved
stress-energy tensor implied by conformal invariance and higher spin symmetry
in four dimensions. In particular, we show that all these correlation functions
will have at most double pole singularities. We then compute the 4-, 5- and
6-point functions of the stress-energy tensor and find that they are linear
combinations of the three free field expressions (scalar, fermion and Maxwell
field). This is a strong indication that all such theories are essentially
free.
| [
{
"created": "Fri, 19 Jul 2013 13:18:37 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Aug 2013 22:26:31 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Stanev",
"Yassen S.",
"",
"INFN, Roma \"Tor Vergata\""
]
] | We analyze the constraints on the general form and the singularity structure of the correlation functions of the symmetric, traceless and conserved stress-energy tensor implied by conformal invariance and higher spin symmetry in four dimensions. In particular, we show that all these correlation functions will have at most double pole singularities. We then compute the 4-, 5- and 6-point functions of the stress-energy tensor and find that they are linear combinations of the three free field expressions (scalar, fermion and Maxwell field). This is a strong indication that all such theories are essentially free. |
hep-th/9410156 | Wen-Jui HuangT | Wen-Jui Huang, J.C. Shaw and H.C. Yen | Classical Extended Conformal Algebras Associated with Constrained KP
Hierarchy | NHCU-HEP-94-28, 19 pages (Plain TeX) | J.Math.Phys. 36 (1995) 2959-2971 | 10.1063/1.531004 | null | hep-th | null | We examine the conformal property of the second Hamiltonian structure of
constrained KP hierarchy derived by Oevel and Strampp. We find that it
naturallygives a family of nonlocal extended conformal algebras. We give two
examples of such algebras and find that they are similar to Bilal's V algebra.
By taking a gauge transformation one can map the constrained KP hierarchy to
Kuperschmidt's nonstandard Lax hierarchy. We consider the second Hamiltonian
structure in this representation. We show that after mapping the Lax operator
to a pure differential operator the second structure becomes the sum of the
second and the third Gelfand-Dickey brackets defined by this differential
operator. We show that this Hamiltonian structure defines the W-U(1)-Kac-Moody
algebra by working out its conformally covariant form.
| [
{
"created": "Fri, 21 Oct 1994 03:08:34 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Huang",
"Wen-Jui",
""
],
[
"Shaw",
"J. C.",
""
],
[
"Yen",
"H. C.",
""
]
] | We examine the conformal property of the second Hamiltonian structure of constrained KP hierarchy derived by Oevel and Strampp. We find that it naturallygives a family of nonlocal extended conformal algebras. We give two examples of such algebras and find that they are similar to Bilal's V algebra. By taking a gauge transformation one can map the constrained KP hierarchy to Kuperschmidt's nonstandard Lax hierarchy. We consider the second Hamiltonian structure in this representation. We show that after mapping the Lax operator to a pure differential operator the second structure becomes the sum of the second and the third Gelfand-Dickey brackets defined by this differential operator. We show that this Hamiltonian structure defines the W-U(1)-Kac-Moody algebra by working out its conformally covariant form. |
1806.10560 | Thomas Faulkner | Thomas Faulkner, Min Li and Huajia Wang | A modular toolkit for bulk reconstruction | 31 pages, 10 figures, v2: typos fixed and references added | null | 10.1007/JHEP04(2019)119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce new tools for studying modular flow in AdS/CFT. These tools
allow us to efficiently extract bulk information related to causality and
locality. For example, we discuss the relation between analyticity in modular
time and entanglement wedge nesting which can then be used to extract the
location of the Ryu-Takayanagi (RT) surface directly from the boundary theory.
Probing the RT surface close to the boundary our results reduce to the recent
proof of the Quantum Null Energy Condition. We focus on heavy probe operators
whose correlation functions are determined by spacelike geodesics. These
geodesics interplay with the RT surface via a set of rules that we conjecture
and give evidence for using the replica trick.
| [
{
"created": "Wed, 27 Jun 2018 16:33:32 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Mar 2019 04:09:02 GMT",
"version": "v2"
}
] | 2019-05-22 | [
[
"Faulkner",
"Thomas",
""
],
[
"Li",
"Min",
""
],
[
"Wang",
"Huajia",
""
]
] | We introduce new tools for studying modular flow in AdS/CFT. These tools allow us to efficiently extract bulk information related to causality and locality. For example, we discuss the relation between analyticity in modular time and entanglement wedge nesting which can then be used to extract the location of the Ryu-Takayanagi (RT) surface directly from the boundary theory. Probing the RT surface close to the boundary our results reduce to the recent proof of the Quantum Null Energy Condition. We focus on heavy probe operators whose correlation functions are determined by spacelike geodesics. These geodesics interplay with the RT surface via a set of rules that we conjecture and give evidence for using the replica trick. |
hep-th/0408088 | Andrew K. Waldron | Andrew Waldron | Milne and Torus Universes Meet | 8 pages, invited contribution to Deserfest | null | null | null | hep-th | null | Three dimensional quantum gravity with torus universe, T^2xR topology is
reformulated as the motion of a relativistic point particle moving in an
Sl(2,Z) orbifold of flat Minkowski spacetime. The latter is precisely the three
dimensional Milne Universe studied recently by Russo as a background for
Strings. We comment briefly on the dynamics and quantization of the model.
| [
{
"created": "Wed, 11 Aug 2004 09:56:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Waldron",
"Andrew",
""
]
] | Three dimensional quantum gravity with torus universe, T^2xR topology is reformulated as the motion of a relativistic point particle moving in an Sl(2,Z) orbifold of flat Minkowski spacetime. The latter is precisely the three dimensional Milne Universe studied recently by Russo as a background for Strings. We comment briefly on the dynamics and quantization of the model. |
1902.06845 | Alex May | Alex May | Quantum tasks in holography | New version removes incorrect statements about Markov states | null | 10.1007/JHEP10(2019)233 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider an operational restatement of the holographic principle, which we
call the principle of asymptotic quantum tasks. Asymptotic quantum tasks are
quantum information processing tasks with inputs given and outputs required on
points at the boundary of a spacetime. The principle of asymptotic quantum
tasks states that tasks which are possible using the bulk dynamics should
coincide with tasks that are possible using the boundary. We extract
consequences of this principle for holography in the context of asymptotically
AdS spacetimes. We argue for a novel connection between bulk causal structure
and the phase transition in the boundary mutual information. Further, we note a
connection between holography and quantum cryptography, where the problem of
completing asymptotic quantum tasks has been studied earlier. We study the
cryptographic and AdS/CFT approaches to completing asymptotic quantum tasks and
consider the efficiency with which they replace bulk classical geometry with
boundary entanglement.
| [
{
"created": "Tue, 19 Feb 2019 00:16:43 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Mar 2019 04:24:27 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Apr 2019 19:19:26 GMT",
"version": "v3"
},
{
"created": "Thu, 23 May 2019 22:54:32 GMT",
"version": "v4"
},
{
"created": "Sun, 7 Jul 2019 00:06:24 GMT",
"version": "v5"
},
{
"created": "Mon, 7 Oct 2019 17:52:01 GMT",
"version": "v6"
},
{
"created": "Thu, 19 Dec 2019 23:36:30 GMT",
"version": "v7"
}
] | 2020-01-08 | [
[
"May",
"Alex",
""
]
] | We consider an operational restatement of the holographic principle, which we call the principle of asymptotic quantum tasks. Asymptotic quantum tasks are quantum information processing tasks with inputs given and outputs required on points at the boundary of a spacetime. The principle of asymptotic quantum tasks states that tasks which are possible using the bulk dynamics should coincide with tasks that are possible using the boundary. We extract consequences of this principle for holography in the context of asymptotically AdS spacetimes. We argue for a novel connection between bulk causal structure and the phase transition in the boundary mutual information. Further, we note a connection between holography and quantum cryptography, where the problem of completing asymptotic quantum tasks has been studied earlier. We study the cryptographic and AdS/CFT approaches to completing asymptotic quantum tasks and consider the efficiency with which they replace bulk classical geometry with boundary entanglement. |
hep-th/0006022 | Nikolaos Mavromatos | Nick E. Mavromatos and Elizabeth Winstanley | D-particle Recoil Space Times and "Glueball" Masses | 16 pages LATEX, one LATEX figure incorporated | Int.J.Mod.Phys. A16 (2001) 251-266 | 10.1142/S0217751X01002336 | null | hep-th hep-lat hep-ph | null | We discuss the properties of matter in a D-dimensional anti-de-Sitter-type
space time induced dynamically by the recoil of a very heavy
D(irichlet)-particle defect embedded in it. The particular form of the recoil
geometry, which from a world-sheet view point follows from logarithmic
conformal field theory deformations of the pertinent sigma-models, results in
the presence of both infrared and ultraviolet (spatial) cut-offs. These are
crucial in ensuring the presence of mass gaps in scalar matter propagating in
the D-particle recoil space time. The analogy of this problem with the
Liouville-string approach to QCD, suggested earlier by John Ellis and one of
the present authors, prompts us to identify the resulting scalar masses with
those obtained in the supergravity approach based on the Maldacena's
conjecture, but without the imposition of any supersymmetry in our case. Within
reasonable numerical uncertainties, we observe that agreement is obtained
between the two approaches for a particular value of the ratio of the two
cut-offs of the recoil geometry. Notably, our approach does not suffer from the
ambiguities of the supergravity approach as regards the validity of the
comparison of the glueball masses computed there with those obtained in the
continuum limit of lattice gauge theories.
| [
{
"created": "Fri, 2 Jun 2000 20:24:19 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Jun 2000 14:49:04 GMT",
"version": "v2"
}
] | 2016-12-28 | [
[
"Mavromatos",
"Nick E.",
""
],
[
"Winstanley",
"Elizabeth",
""
]
] | We discuss the properties of matter in a D-dimensional anti-de-Sitter-type space time induced dynamically by the recoil of a very heavy D(irichlet)-particle defect embedded in it. The particular form of the recoil geometry, which from a world-sheet view point follows from logarithmic conformal field theory deformations of the pertinent sigma-models, results in the presence of both infrared and ultraviolet (spatial) cut-offs. These are crucial in ensuring the presence of mass gaps in scalar matter propagating in the D-particle recoil space time. The analogy of this problem with the Liouville-string approach to QCD, suggested earlier by John Ellis and one of the present authors, prompts us to identify the resulting scalar masses with those obtained in the supergravity approach based on the Maldacena's conjecture, but without the imposition of any supersymmetry in our case. Within reasonable numerical uncertainties, we observe that agreement is obtained between the two approaches for a particular value of the ratio of the two cut-offs of the recoil geometry. Notably, our approach does not suffer from the ambiguities of the supergravity approach as regards the validity of the comparison of the glueball masses computed there with those obtained in the continuum limit of lattice gauge theories. |
0904.1847 | Yang-Hui Evariste He | Amihay Hanany and Yang-Hui He | Chern-Simons: Fano and Calabi-Yau | 20 pages, 4 figures | Adv.High Energy Phys.2011:204576 | 10.1155/2011/204576 | Imperial/TP/09/AH/02; NSF-KITP-09-40 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the complete classification of smooth toric Fano threefolds, known
to the algebraic geometry literature, and perform some preliminary analyses in
the context of brane-tilings and Chern-Simons theory on M2-branes probing
Calabi-Yau fourfold singularities. We emphasise that these 18 spaces should be
as intensely studied as their well-known counter-parts: the del Pezzo surfaces.
| [
{
"created": "Mon, 13 Apr 2009 16:22:43 GMT",
"version": "v1"
}
] | 2011-09-08 | [
[
"Hanany",
"Amihay",
""
],
[
"He",
"Yang-Hui",
""
]
] | We present the complete classification of smooth toric Fano threefolds, known to the algebraic geometry literature, and perform some preliminary analyses in the context of brane-tilings and Chern-Simons theory on M2-branes probing Calabi-Yau fourfold singularities. We emphasise that these 18 spaces should be as intensely studied as their well-known counter-parts: the del Pezzo surfaces. |
2306.07323 | Ro Jefferson | Shadi Ali Ahmad, Ro Jefferson | Crossed product algebras and generalized entropy for subregions | Minor clarifications, matches published version | SciPost Phys. Core 7, 020 (2024) | 10.21468/SciPostPhysCore.7.2.020 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An early result of algebraic quantum field theory is that the algebra of any
subregion in a QFT is a von Neumann factor of type III$_1$, in which entropy
cannot be well-defined because such algebras do not admit a trace or density
states. However, associated to the algebra is a modular group of automorphisms
characterizing the local dynamics of degrees of freedom in the region, and the
crossed product of the algebra with its modular group yields a type II$_\infty$
factor, in which traces and hence von Neumann entropy can be well-defined. In
this work, we generalize recent constructions of the crossed product algebra
for the TFD to, in principle, arbitrary spacetime regions in arbitrary QFTs,
paving the way to the study of entanglement entropy without UV divergences. In
contrast to previous works, we emphasize that this construction is independent
of gravity. In this sense, the crossed product construction represents a
refinement of Haag's assignment of nets of observable algebras to spacetime
regions by providing a natural construction of a type II factor. We present
several concrete examples: a QFT in Rindler space, a CFT in an open ball of
Minkowski space, and arbitrary boundary subregions in AdS/CFT. In the
holographic setting, we provide a novel argument for why the bulk dual must be
the entanglement wedge, and discuss the distinction arising from boundary
modular flow between causal and entanglement wedges for excited states and
disjoint regions.
| [
{
"created": "Mon, 12 Jun 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2024 18:29:09 GMT",
"version": "v2"
}
] | 2024-05-02 | [
[
"Ahmad",
"Shadi Ali",
""
],
[
"Jefferson",
"Ro",
""
]
] | An early result of algebraic quantum field theory is that the algebra of any subregion in a QFT is a von Neumann factor of type III$_1$, in which entropy cannot be well-defined because such algebras do not admit a trace or density states. However, associated to the algebra is a modular group of automorphisms characterizing the local dynamics of degrees of freedom in the region, and the crossed product of the algebra with its modular group yields a type II$_\infty$ factor, in which traces and hence von Neumann entropy can be well-defined. In this work, we generalize recent constructions of the crossed product algebra for the TFD to, in principle, arbitrary spacetime regions in arbitrary QFTs, paving the way to the study of entanglement entropy without UV divergences. In contrast to previous works, we emphasize that this construction is independent of gravity. In this sense, the crossed product construction represents a refinement of Haag's assignment of nets of observable algebras to spacetime regions by providing a natural construction of a type II factor. We present several concrete examples: a QFT in Rindler space, a CFT in an open ball of Minkowski space, and arbitrary boundary subregions in AdS/CFT. In the holographic setting, we provide a novel argument for why the bulk dual must be the entanglement wedge, and discuss the distinction arising from boundary modular flow between causal and entanglement wedges for excited states and disjoint regions. |
2406.01358 | Klaus Sibold | Klaus Sibold | EMT,Pseudo-EMT and all that Improvement and Superpotentials | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within Einstein-Hilbert gravity, higher derivatives and a scalar field as
representative of matter different versions of tensorlike quantities are
discussed.The concepts of improvement and superpotential help to understand the
details of their construction and meaning. On this basis it is claimed that the
higher derivatives which are necessary for defining higher orders in
perturbation theory donot ruin the physical content of the model.
| [
{
"created": "Mon, 3 Jun 2024 14:22:28 GMT",
"version": "v1"
}
] | 2024-06-04 | [
[
"Sibold",
"Klaus",
""
]
] | Within Einstein-Hilbert gravity, higher derivatives and a scalar field as representative of matter different versions of tensorlike quantities are discussed.The concepts of improvement and superpotential help to understand the details of their construction and meaning. On this basis it is claimed that the higher derivatives which are necessary for defining higher orders in perturbation theory donot ruin the physical content of the model. |
hep-th/9308066 | null | Gabriel Lopes Cardoso and Burt A. Ovrut | Supersymmetric Calculation of Mixed K\"{a}HLER-Gauge and Mixed
K\"{a}HLER-Lorentz Anomalies | 37 pages, CERN-TH.6961/93 | Nucl.Phys. B418 (1994) 535-570 | null | null | hep-th | null | We present a manifestly supersymmetric procedure for calculating the
contributions from matter loops to the mixed K\"{a}hler-gauge and to the mixed
K\"{a}hler- Lorentz anomalies in $N=1, D=4$ supergravity-matter systems. We
show how this procedure leads to the well-known result for the mixed
K\"{a}hler-gauge anomaly. For general supergravity-matter systems the mixed
K\"{a}hler-Lorentz anomaly is found to contain a term proportional to ${\cal
R}^2$ with a background field dependent coefficient as well as terms
proportional to $(C_{mnpq})^2$ and to the Gauss-Bonnet topological density. We
briefly comment on the relationship between the mixed K\"{a}hler-Lorentz
anomaly and the moduli dependent threshold corrections to gravitational
couplings in $Z_N$ orbifolds.
| [
{
"created": "Fri, 13 Aug 1993 14:40:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Ovrut",
"Burt A.",
""
]
] | We present a manifestly supersymmetric procedure for calculating the contributions from matter loops to the mixed K\"{a}hler-gauge and to the mixed K\"{a}hler- Lorentz anomalies in $N=1, D=4$ supergravity-matter systems. We show how this procedure leads to the well-known result for the mixed K\"{a}hler-gauge anomaly. For general supergravity-matter systems the mixed K\"{a}hler-Lorentz anomaly is found to contain a term proportional to ${\cal R}^2$ with a background field dependent coefficient as well as terms proportional to $(C_{mnpq})^2$ and to the Gauss-Bonnet topological density. We briefly comment on the relationship between the mixed K\"{a}hler-Lorentz anomaly and the moduli dependent threshold corrections to gravitational couplings in $Z_N$ orbifolds. |
1105.3231 | Arthur Lipstein | Arthur E. Lipstein | Integrability of N = 6 Chern-Simons Theory | Ph.D. thesis, 125 pages; v3: references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In 2008, Aharony, Bergman, Jafferis, and Maldacena (ABJM) discovered a
three-dimensional Chern-Simons theory with N = 6 supersymmetry and conjectured
that in a certain limit, this theory is dual to type IIA string theory on
AdS4xCP3. Since then, a great deal of evidence has been accumulated which
suggests that the ABJM theory is integrable in the planar limit. Integrability
is a very useful property that allows many physical observables, such as
anomalous dimensions and scattering amplitudes, to be computed efficiently. In
the first half of this thesis, we will explain how to use integrabilty to
compute the anomalous dimensions of long, single-trace operators in the ABJM
theory. In particular, we will describe how to compute them at weak coupling
using a Bethe Ansatz, and how to compute them at strong coupling using string
theory. The latter approach involves using algebraic curve and world-sheet
techniques to compute the energies of string states dual to gauge theory
operators. In the second half of this thesis, we will discuss integrability
from the point of view of on-shell scattering amplitudes in the ABJM theory. In
particular, we will describe how to parameterize the amplitudes in terms of
supertwistors and how to relate higher-point tree-level amplitudes to
lower-point tree-level amplitudes using a recursion relation. We will also
explain how this recursion relation can be used to show that all tree-level
amplitudes of the ABJM theory are invariant under dual superconformal symmetry.
This symmetry is hidden from the point of the action and implies that the
theory has Yangian symmetry, which is a key feature of integrability. This
thesis is mainly based on the material in [101], [83], and [84].
| [
{
"created": "Mon, 16 May 2011 21:44:25 GMT",
"version": "v1"
},
{
"created": "Fri, 27 May 2011 23:23:23 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Jul 2011 02:13:56 GMT",
"version": "v3"
}
] | 2015-03-19 | [
[
"Lipstein",
"Arthur E.",
""
]
] | In 2008, Aharony, Bergman, Jafferis, and Maldacena (ABJM) discovered a three-dimensional Chern-Simons theory with N = 6 supersymmetry and conjectured that in a certain limit, this theory is dual to type IIA string theory on AdS4xCP3. Since then, a great deal of evidence has been accumulated which suggests that the ABJM theory is integrable in the planar limit. Integrability is a very useful property that allows many physical observables, such as anomalous dimensions and scattering amplitudes, to be computed efficiently. In the first half of this thesis, we will explain how to use integrabilty to compute the anomalous dimensions of long, single-trace operators in the ABJM theory. In particular, we will describe how to compute them at weak coupling using a Bethe Ansatz, and how to compute them at strong coupling using string theory. The latter approach involves using algebraic curve and world-sheet techniques to compute the energies of string states dual to gauge theory operators. In the second half of this thesis, we will discuss integrability from the point of view of on-shell scattering amplitudes in the ABJM theory. In particular, we will describe how to parameterize the amplitudes in terms of supertwistors and how to relate higher-point tree-level amplitudes to lower-point tree-level amplitudes using a recursion relation. We will also explain how this recursion relation can be used to show that all tree-level amplitudes of the ABJM theory are invariant under dual superconformal symmetry. This symmetry is hidden from the point of the action and implies that the theory has Yangian symmetry, which is a key feature of integrability. This thesis is mainly based on the material in [101], [83], and [84]. |
1303.6685 | Augusto Sagnotti Prof. | A. Sagnotti (Scuola Normale Superiore and INFN, Pisa, ITALY) | Brane SUSY Breaking and Inflation: Implications for Scalar Fields and
CMB Distorsion | 9 pages, 4 figures. The original version was based on the talk
presented at Rencontres de Moriond EW2013, La Thuile, March 2 - 9 2013. The
new version is also based on the talks presented at the "Two-day PLANCK
Meeting" and at the "18th Claude Itzykson Meeting". It includes some improved
plots and a discussion of the possible role of more general branes | null | null | null | hep-th gr-qc hep-ex hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I elaborate on a link between the string--scale breaking of supersymmetry
that occurs in a class of superstring models and the onset of inflation. The
link rests on spatially flat cosmologies supported by a scalar field driven by
an exponential potential. If, as in String Theory, this potential is steep
enough, under some assumptions that are spelled out in the text the scalar can
only climb up as it emerges from an initial singularity. In the presence of
another mild exponential, slow--roll inflation is thus injected during the
ensuing descent and definite imprints are left in the CMB power spectrum: the
quadrupole is systematically reduced and, depending on the choice of two
parameters, an oscillatory behavior can also emerge for low multipoles l < 50,
in qualitative agreement with WMAP9 and PLANCK data. The experimentally favored
value of the spectral index, n_s ~ 0.96, points to a potentially important role
for the NS fivebrane, which is unstable in this class of models, in the Early
Universe.
| [
{
"created": "Tue, 26 Mar 2013 22:28:26 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Apr 2013 05:17:00 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jul 2013 07:11:06 GMT",
"version": "v3"
}
] | 2013-07-10 | [
[
"Sagnotti",
"A.",
"",
"Scuola Normale Superiore and INFN, Pisa, ITALY"
]
] | I elaborate on a link between the string--scale breaking of supersymmetry that occurs in a class of superstring models and the onset of inflation. The link rests on spatially flat cosmologies supported by a scalar field driven by an exponential potential. If, as in String Theory, this potential is steep enough, under some assumptions that are spelled out in the text the scalar can only climb up as it emerges from an initial singularity. In the presence of another mild exponential, slow--roll inflation is thus injected during the ensuing descent and definite imprints are left in the CMB power spectrum: the quadrupole is systematically reduced and, depending on the choice of two parameters, an oscillatory behavior can also emerge for low multipoles l < 50, in qualitative agreement with WMAP9 and PLANCK data. The experimentally favored value of the spectral index, n_s ~ 0.96, points to a potentially important role for the NS fivebrane, which is unstable in this class of models, in the Early Universe. |
0905.2058 | Gorsky Alexander | Alexander Gorsky | Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space | 39 pages, typos corrected, journal version | null | 10.1103/PhysRevD.80.125002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss multiloop MHV amplitudes in the N=4 SYM theory in terms of
effective gravity in the momentum space with IR regulator branes as degrees of
freedom. Kinematical invariants of external particles yield the moduli spaces
of complex or Kahler structures which are the playgrounds for the
Kodaira-Spencer(KS) or Kahler type gravity. We suggest fermionic representation
of the loop MHV amplitudes in the N=4 SYM theory assuming the identification of
the IR regulator branes with KS fermions in the B model and Lagrangian branes
in A model. The two-easy mass box diagram is related to the correlator of
fermionic currents on the spectral curve in B model or hyperbolic volume in the
A model and it plays the role of a building block in the whole picture. The
BDS-like anzatz has the interpretation as the semiclassical limit of a
fermionic correlator. It is argued that fermionic representation implies a kind
of integrability on the moduli spaces. We conjecture the interpretation of the
reggeon degrees of freedom in terms of the open strings stretched between the
IR regulator branes.
| [
{
"created": "Wed, 13 May 2009 10:35:25 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Nov 2009 20:10:41 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Gorsky",
"Alexander",
""
]
] | We discuss multiloop MHV amplitudes in the N=4 SYM theory in terms of effective gravity in the momentum space with IR regulator branes as degrees of freedom. Kinematical invariants of external particles yield the moduli spaces of complex or Kahler structures which are the playgrounds for the Kodaira-Spencer(KS) or Kahler type gravity. We suggest fermionic representation of the loop MHV amplitudes in the N=4 SYM theory assuming the identification of the IR regulator branes with KS fermions in the B model and Lagrangian branes in A model. The two-easy mass box diagram is related to the correlator of fermionic currents on the spectral curve in B model or hyperbolic volume in the A model and it plays the role of a building block in the whole picture. The BDS-like anzatz has the interpretation as the semiclassical limit of a fermionic correlator. It is argued that fermionic representation implies a kind of integrability on the moduli spaces. We conjecture the interpretation of the reggeon degrees of freedom in terms of the open strings stretched between the IR regulator branes. |
1708.02257 | Geunho Song | Yunseok Seo, Geunho Song, Chanyong Park, Sang-Jin Sin | Small Fermi Surfaces and Strong Correlation Effects in Dirac Materials
with Holography | 32 pages, 24 figures | null | 10.1007/JHEP10(2017)204 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent discovery of transport anomaly in graphene demonstrated that a system
known to be weakly interacting may become strongly correlated if system
parameter(s) can be tuned such that fermi surface is sufficiently small. We
study the strong correlation effects in the transport coefficients of Dirac
materials doped with magnetic impurity under the magnetic field using
holographic method. The experimental data of magneto-conductivity are well fit
by our theory, however, not much data are available for other transports of
Dirac material in such regime. Therefore, our results on heat
transport,thermo-electric power and Nernst coefficients are left as predictions
of holographic theory for generic Dirac materials in the vicinity of charge
neutral point with possible surface gap. We give detailed look over each
magneto-transport observable and 3Dplots to guide future experiments.
| [
{
"created": "Mon, 7 Aug 2017 18:06:40 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Oct 2017 14:32:17 GMT",
"version": "v2"
}
] | 2017-11-22 | [
[
"Seo",
"Yunseok",
""
],
[
"Song",
"Geunho",
""
],
[
"Park",
"Chanyong",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | Recent discovery of transport anomaly in graphene demonstrated that a system known to be weakly interacting may become strongly correlated if system parameter(s) can be tuned such that fermi surface is sufficiently small. We study the strong correlation effects in the transport coefficients of Dirac materials doped with magnetic impurity under the magnetic field using holographic method. The experimental data of magneto-conductivity are well fit by our theory, however, not much data are available for other transports of Dirac material in such regime. Therefore, our results on heat transport,thermo-electric power and Nernst coefficients are left as predictions of holographic theory for generic Dirac materials in the vicinity of charge neutral point with possible surface gap. We give detailed look over each magneto-transport observable and 3Dplots to guide future experiments. |
hep-th/0112217 | Marty Stock | E. Farhi, N. Graham, R.L. Jaffe, and H. Weigel | Searching for Quantum Solitons in a 3+1 Dimensional Chiral Yukawa Model | 27 pp., 7 EPS files; email correspondence to jaffe@mit.edu | Nucl.Phys. B630 (2002) 241-268 | 10.1016/S0550-3213(02)00172-4 | MIT-CTP-3223 | hep-th hep-ph nucl-th | null | We search for static solitons stabilized by heavy fermions in a 3+1
dimensional Yukawa model. We compute the renormalized energy functional,
including the exact one-loop quantum corrections, and perform a variational
search for configurations that minimize the energy for a fixed fermion number.
We compute the quantum corrections using a phase shift parameterization, in
which we renormalize by identifying orders of the Born series with
corresponding Feynman diagrams. For higher-order terms in the Born series, we
develop a simplified calculational method. When applicable, we use the
derivative expansion to check our results. We observe marginally bound
configurations at large Yukawa coupling, and discuss their interpretation as
soliton solutions subject to general limitations of the model.
| [
{
"created": "Fri, 21 Dec 2001 20:00:26 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Farhi",
"E.",
""
],
[
"Graham",
"N.",
""
],
[
"Jaffe",
"R. L.",
""
],
[
"Weigel",
"H.",
""
]
] | We search for static solitons stabilized by heavy fermions in a 3+1 dimensional Yukawa model. We compute the renormalized energy functional, including the exact one-loop quantum corrections, and perform a variational search for configurations that minimize the energy for a fixed fermion number. We compute the quantum corrections using a phase shift parameterization, in which we renormalize by identifying orders of the Born series with corresponding Feynman diagrams. For higher-order terms in the Born series, we develop a simplified calculational method. When applicable, we use the derivative expansion to check our results. We observe marginally bound configurations at large Yukawa coupling, and discuss their interpretation as soliton solutions subject to general limitations of the model. |
hep-th/9911160 | Radoslav Rachkov | R.C.Rashkov, K.S.Viswanathan | Correlation functions in the Coulomb branch of N=4 SYM from AdS/CFT
correspondence | 25 pages, more comments on two throat geometry, decoupling limit and
correction terms, a few typos corrected, two references added; to appear in
Phys.Rev. D | Phys.Rev. D62 (2000) 046009 | 10.1103/PhysRevD.62.046009 | null | hep-th | null | In the present paper we study SU(N)->S(U(N/2)xU(N/2)) symmetry breaking in
N=4 SYM via AdS/CFT correspondence. We consider two stacks of N/2 parallel D3
branes separated by a distance 2\vec d. In this case there is mixing between
the different l-wave dilatonic KK modes. We calculate certain the two point
correlation functions in the dual gauge theory. Due to mode mixing, the
diagonal correlation functions have 1/N conformal-like correction as well as
deformation terms. The off-diagonal correlators are also non-vanishing and
their leading order is 1/N. We discuss briefly the spectrum of the glueball
exitations.
| [
{
"created": "Fri, 19 Nov 1999 23:28:55 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 1999 22:49:54 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Dec 1999 00:00:21 GMT",
"version": "v3"
},
{
"created": "Thu, 29 Jun 2000 14:38:20 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Rashkov",
"R. C.",
""
],
[
"Viswanathan",
"K. S.",
""
]
] | In the present paper we study SU(N)->S(U(N/2)xU(N/2)) symmetry breaking in N=4 SYM via AdS/CFT correspondence. We consider two stacks of N/2 parallel D3 branes separated by a distance 2\vec d. In this case there is mixing between the different l-wave dilatonic KK modes. We calculate certain the two point correlation functions in the dual gauge theory. Due to mode mixing, the diagonal correlation functions have 1/N conformal-like correction as well as deformation terms. The off-diagonal correlators are also non-vanishing and their leading order is 1/N. We discuss briefly the spectrum of the glueball exitations. |
1011.1818 | Igor Bandos A. | Igor A. Bandos, Carlos Meliveo | Superfield equations for the interacting system of D=4 N=1 supermembrane
and scalar multiplet | 26 pages. V2: misprints corrected, references and an acknowledgment
added, minor changes, in particular in sec. 4.2.1. V.3. discussion on the
relation with known solutions added; to appear in Nucl.Phys. B (2011) | Nucl.Phys.B849:1-27,2011 | 10.1016/j.nuclphysb.2011.03.010 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the superfield action for the dynamical N=1 D=4 supermembrane in
interaction with a dynamical scalar multiplet and use it to derive the
superfield equations of motion. These include the supermembrane equations,
which formally coincide with equations of supermembrane in a background of the
(off-shell) scalar multiplet, and the special chiral superfield equations with
supermembrane source. In the case when the scalar supermultiplet part of the
action contains only the simplest kinetic term we have also extracted the
spacetime component field equations from the superfield equations and solve
these in the leading order on supermembrane tension. The inclusion of
nontrivial superpotential and relation with known supersymmetric domain wall
solutions is briefly discussed.
| [
{
"created": "Mon, 8 Nov 2010 15:04:51 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 2010 11:49:58 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Mar 2011 12:48:56 GMT",
"version": "v3"
}
] | 2011-05-09 | [
[
"Bandos",
"Igor A.",
""
],
[
"Meliveo",
"Carlos",
""
]
] | We present the superfield action for the dynamical N=1 D=4 supermembrane in interaction with a dynamical scalar multiplet and use it to derive the superfield equations of motion. These include the supermembrane equations, which formally coincide with equations of supermembrane in a background of the (off-shell) scalar multiplet, and the special chiral superfield equations with supermembrane source. In the case when the scalar supermultiplet part of the action contains only the simplest kinetic term we have also extracted the spacetime component field equations from the superfield equations and solve these in the leading order on supermembrane tension. The inclusion of nontrivial superpotential and relation with known supersymmetric domain wall solutions is briefly discussed. |
hep-th/0102078 | Semikhatov A. M. | BL Feigin and AM Semikhatov | The ^sl(2)+^sl(2)/^sl(2) Coset Theory as a Hamiltonian Reduction of
^D(2|1;\alpha) | amsart, 38pp. V2: minor corrections | Nucl.Phys.B610:489-530,2001 | 10.1016/S0550-3213(01)00307-8 | null | hep-th math-ph math.MP math.QA | null | We show that the coset ^sl(2)+^sl(2)/^sl(2) is a quantum Hamiltonian
reduction of the exceptional affine Lie superalgebra ^D(2|1;\alpha) and that
the corresponding W algebra is the commutant of the U_{q}D(2|1;\alpha) quantum
group.
| [
{
"created": "Wed, 14 Feb 2001 21:44:35 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2001 20:55:04 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Feigin",
"BL",
""
],
[
"Semikhatov",
"AM",
""
]
] | We show that the coset ^sl(2)+^sl(2)/^sl(2) is a quantum Hamiltonian reduction of the exceptional affine Lie superalgebra ^D(2|1;\alpha) and that the corresponding W algebra is the commutant of the U_{q}D(2|1;\alpha) quantum group. |
1506.08393 | Vincent Lahoche | Vincent Lahoche and Daniele Oriti | Renormalization of a tensorial field theory on the homogeneous space
SU(2)/U(1) | 48 pages, 18 figures | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the renormalization of a general field theory on the 2-sphere with
tensorial interaction and gauge invariance under the diagonal action of SU(2).
We derive the power counting for arbitrary dimension d. For the case d=4, we
prove perturbative renormalizability to all orders via multi-scale analysis,
study both the renormalised and effective perturbation series, and establish
the asymptotic freedom of the model. We also outline a general power counting
for the homogeneous space SO(D)/SO(D-1), of direct interest for quantum gravity
models in general dimensions, and point out the obstructions to the direct
generalisation of our results to these cases.
| [
{
"created": "Sun, 28 Jun 2015 12:57:03 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2016 22:56:06 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Jan 2017 14:35:36 GMT",
"version": "v3"
}
] | 2017-01-27 | [
[
"Lahoche",
"Vincent",
""
],
[
"Oriti",
"Daniele",
""
]
] | We study the renormalization of a general field theory on the 2-sphere with tensorial interaction and gauge invariance under the diagonal action of SU(2). We derive the power counting for arbitrary dimension d. For the case d=4, we prove perturbative renormalizability to all orders via multi-scale analysis, study both the renormalised and effective perturbation series, and establish the asymptotic freedom of the model. We also outline a general power counting for the homogeneous space SO(D)/SO(D-1), of direct interest for quantum gravity models in general dimensions, and point out the obstructions to the direct generalisation of our results to these cases. |
hep-th/0610143 | Thomas Van Riet | Jan Rosseel, Thomas Van Riet, Dennis B. Westra | Scaling Cosmologies of N=8 Gauged Supergravity | 17 pages; referenced added, reportnr changed and some corrections in
section 6 | Class.Quant.Grav.24:2139-2152,2007 | 10.1088/0264-9381/24/8/012 | KUL-TF 06/26, UG 06/07 | hep-th | null | We construct exact cosmological scaling solutions in N=8 gauged supergravity.
We restrict to solutions for which the scalar fields trace out geodesic curves
on the scalar manifold. Under these restrictions it is shown that the axionic
scalars are necessarily constant. The potential is then a sum of exponentials
and has a very specific form that allows for scaling solutions. The scaling
solutions describe eternal accelerating and decelerating power-law universes,
which are all unstable. An uplift of the solutions to 11-dimensional
supergravity is carried out and the resulting timedependent geometries are
discussed. In the discussion we briefly comment on the fact that N=2 gauged
supergravity allows stable scaling solutions.
| [
{
"created": "Thu, 12 Oct 2006 13:29:17 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2007 15:30:12 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Rosseel",
"Jan",
""
],
[
"Van Riet",
"Thomas",
""
],
[
"Westra",
"Dennis B.",
""
]
] | We construct exact cosmological scaling solutions in N=8 gauged supergravity. We restrict to solutions for which the scalar fields trace out geodesic curves on the scalar manifold. Under these restrictions it is shown that the axionic scalars are necessarily constant. The potential is then a sum of exponentials and has a very specific form that allows for scaling solutions. The scaling solutions describe eternal accelerating and decelerating power-law universes, which are all unstable. An uplift of the solutions to 11-dimensional supergravity is carried out and the resulting timedependent geometries are discussed. In the discussion we briefly comment on the fact that N=2 gauged supergravity allows stable scaling solutions. |
hep-th/9309158 | Nakazato Hiromichi | H. H\"uffel (Inst. f\"ur Theor. Phys., Univ. Wien) and H. Nakazato
(Dept. of Phys., Univ. of the Ryukyus) | Transition Amplitudes within the Stochastic Quantization Scheme | 14 pages, LaTeX, UWThPh-1993-23 and DPUR 64 | Mod. Phys. Lett. A9 (1994) 2953-2966 | 10.1142/S0217732394002793 | null | hep-th | null | Quantum mechanical transition amplitudes are calculated within the stochastic
quantization scheme for the free nonrelativistic particle, the harmonic
oscillator and the nonrelativistic particle in a constant magnetic field; we
close with free Grassmann quantum mechanics.
| [
{
"created": "Thu, 30 Sep 1993 11:33:54 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Hüffel",
"H.",
"",
"Inst. für Theor. Phys., Univ. Wien"
],
[
"Nakazato",
"H.",
"",
"Dept. of Phys., Univ. of the Ryukyus"
]
] | Quantum mechanical transition amplitudes are calculated within the stochastic quantization scheme for the free nonrelativistic particle, the harmonic oscillator and the nonrelativistic particle in a constant magnetic field; we close with free Grassmann quantum mechanics. |
hep-th/0010001 | Ruihong Yue | Pei Wang, Rui-Hong Yue and Kang-Jie Shi | Morita Equivalence and Interpolation of The Dirac-Born-infeld Theory on
the Non-Commutative Torus | 6 pages, latex, no figures | null | null | null | hep-th | null | In the noncommutative Dirac-Born-Infeld action with Chern-Simons term, an
interpolation field $\Phi$ is used in both DBI action and Chern-Simons term.
The Morita equivalence is discussed in both the lagrangian and the Hamiltonian
formalisms, which is more transparent in this treatment.
| [
{
"created": "Sat, 30 Sep 2000 11:16:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Wang",
"Pei",
""
],
[
"Yue",
"Rui-Hong",
""
],
[
"Shi",
"Kang-Jie",
""
]
] | In the noncommutative Dirac-Born-Infeld action with Chern-Simons term, an interpolation field $\Phi$ is used in both DBI action and Chern-Simons term. The Morita equivalence is discussed in both the lagrangian and the Hamiltonian formalisms, which is more transparent in this treatment. |
hep-th/0306018 | Nick Evans | J.Babington, J.Erdmenger, N.Evans, Z.Guralnik and I.Kirsch | Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity
Duals | 29 pages, 14 eps figures, LaTeX, added discussion of MC flows | Phys.Rev. D69 (2004) 066007 | 10.1103/PhysRevD.69.066007 | HU-EP-03-27, SHEP-03-10 | hep-th hep-ph | null | We study gravity duals of large N non-supersymmetric gauge theories with
matter in the fundamental representation by introducing a D7-brane probe into
deformed AdS backgrounds. In particular, we consider a D7-brane probe in both
the AdS Schwarzschild black hole solution and in the background found by
Constable and Myers, which involves a non-constant dilaton and S^5 radius. Both
these backgrounds exhibit confinement of fundamental matter and a discrete
glueball and meson spectrum. We numerically compute the quark condensate and
meson spectrum associated with these backgrounds. In the AdS-black hole
background, a quark-bilinear condensate develops only at non-zero quark mass.
We speculate on the existence of a third order phase transition at a critical
quark mass where the D7 embedding undergoes a geometric transition. In the
Constable-Myers background, we find a chiral symmetry breaking condensate as
well as the associated Goldstone boson in the limit of small quark mass. The
existence of the condensate ensures that the D7-brane never reaches the naked
singularity at the origin of the deformed AdS space.
| [
{
"created": "Tue, 3 Jun 2003 14:42:23 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jun 2003 09:41:15 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Sep 2003 10:31:10 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Babington",
"J.",
""
],
[
"Erdmenger",
"J.",
""
],
[
"Evans",
"N.",
""
],
[
"Guralnik",
"Z.",
""
],
[
"Kirsch",
"I.",
""
]
] | We study gravity duals of large N non-supersymmetric gauge theories with matter in the fundamental representation by introducing a D7-brane probe into deformed AdS backgrounds. In particular, we consider a D7-brane probe in both the AdS Schwarzschild black hole solution and in the background found by Constable and Myers, which involves a non-constant dilaton and S^5 radius. Both these backgrounds exhibit confinement of fundamental matter and a discrete glueball and meson spectrum. We numerically compute the quark condensate and meson spectrum associated with these backgrounds. In the AdS-black hole background, a quark-bilinear condensate develops only at non-zero quark mass. We speculate on the existence of a third order phase transition at a critical quark mass where the D7 embedding undergoes a geometric transition. In the Constable-Myers background, we find a chiral symmetry breaking condensate as well as the associated Goldstone boson in the limit of small quark mass. The existence of the condensate ensures that the D7-brane never reaches the naked singularity at the origin of the deformed AdS space. |
1406.7794 | Christopher Hull | C M Hull | Finite Gauge Transformations and Geometry in Double Field Theory | 28 pages | null | 10.1007/JHEP04(2015)109 | Imperial-TP-2014-CH-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently proposed forms for gauge transformations with finite parameters in
double field theory are discussed and problematic issues are identified. A new
form for finite gauge transformations is derived that reveals the underlying
gerbe structure and the close relationship with generalised geometry. The
nature of generalised tensors is elucidated, and in particular it is seen that
the presence of a constant metric with split signature does not restrict the
doubled geometry, provided it is a generalised tensor rather than a
conventional tensor.
| [
{
"created": "Mon, 30 Jun 2014 16:09:59 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Hull",
"C M",
""
]
] | Recently proposed forms for gauge transformations with finite parameters in double field theory are discussed and problematic issues are identified. A new form for finite gauge transformations is derived that reveals the underlying gerbe structure and the close relationship with generalised geometry. The nature of generalised tensors is elucidated, and in particular it is seen that the presence of a constant metric with split signature does not restrict the doubled geometry, provided it is a generalised tensor rather than a conventional tensor. |
1507.01799 | Sergio Cecotti | Sergio Cecotti and Michele Del Zotto | Higher S-dualities and Shephard-Todd groups | 45 pages. References added; clarifying comments added, further
references | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Seiberg and Witten have shown that in N=2 SQCD with $N_f=2N_c=4$ the
S-duality group PSL(2,Z) acts on the flavor charges, which are weights of
Spin(8), by triality. There are other N=2 SCFTs in which SU(2) SYM is coupled
to strongly-interacting non-Lagrangian matter: their matter charges are weights
of $E_6$, $E_7$ and $E_8$ instead of Spin(8). The S-duality group PSL(2,Z) acts
on these weights: what replaces Spin(8) triality for the $E_6,E_7,E_8$ root
lattices?
In this paper we answer the question. The action on the matter charges of (a
finite central extension of) PSL(2,Z) factorizes trough the action of the
exceptional Shephard--Todd groups $G_4$ and $G_8$ which should be seen as
complex analogs of the usual triality group $\mathfrak{S}_3\simeq
\mathrm{Weyl}(A_2)$.
Our analysis is based on the identification of S-duality for SU(2) gauge
SCFTs with the group of automorphisms of the cluster category of weighted
projective lines of tubular type.
| [
{
"created": "Tue, 7 Jul 2015 13:33:30 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 2015 09:01:50 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Sep 2015 09:57:28 GMT",
"version": "v3"
}
] | 2015-09-02 | [
[
"Cecotti",
"Sergio",
""
],
[
"Del Zotto",
"Michele",
""
]
] | Seiberg and Witten have shown that in N=2 SQCD with $N_f=2N_c=4$ the S-duality group PSL(2,Z) acts on the flavor charges, which are weights of Spin(8), by triality. There are other N=2 SCFTs in which SU(2) SYM is coupled to strongly-interacting non-Lagrangian matter: their matter charges are weights of $E_6$, $E_7$ and $E_8$ instead of Spin(8). The S-duality group PSL(2,Z) acts on these weights: what replaces Spin(8) triality for the $E_6,E_7,E_8$ root lattices? In this paper we answer the question. The action on the matter charges of (a finite central extension of) PSL(2,Z) factorizes trough the action of the exceptional Shephard--Todd groups $G_4$ and $G_8$ which should be seen as complex analogs of the usual triality group $\mathfrak{S}_3\simeq \mathrm{Weyl}(A_2)$. Our analysis is based on the identification of S-duality for SU(2) gauge SCFTs with the group of automorphisms of the cluster category of weighted projective lines of tubular type. |
1706.05914 | Junggi Yoon | Junggi Yoon | Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix
Formulation | 48 page; v2:typo corrected, reference added, notation for the
eigenfunctions changed | null | 10.1007/JHEP10(2017)172 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the bi-local collective theory for the $\mathcal{N}=1,2$
supersymmetric Sachdev-Ye-Kitaev (SUSY SYK) models. We construct a bi-local
superspace, and formulate the bi-local collective superfield theory of the
one-dimensional SUSY vector model. The bi-local collective theory provides
systematic analysis of the SUSY SYK models. We find that this bi-local
collective theory naturally leads to supermatrix formulation in the bi-local
superspace. This supermatrix formulation drastically simplifies the analysis of
the SUSY SYK models. We also study $\mathcal{N}=1$ bi-local superconformal
generators in the supermatrix formulation, and find the eigenvectors of teh
superconformal Casimir. We diagonalize the quadratic action in large $N$
expansion.
| [
{
"created": "Mon, 19 Jun 2017 13:06:26 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2017 12:35:19 GMT",
"version": "v2"
}
] | 2017-12-06 | [
[
"Yoon",
"Junggi",
""
]
] | We discuss the bi-local collective theory for the $\mathcal{N}=1,2$ supersymmetric Sachdev-Ye-Kitaev (SUSY SYK) models. We construct a bi-local superspace, and formulate the bi-local collective superfield theory of the one-dimensional SUSY vector model. The bi-local collective theory provides systematic analysis of the SUSY SYK models. We find that this bi-local collective theory naturally leads to supermatrix formulation in the bi-local superspace. This supermatrix formulation drastically simplifies the analysis of the SUSY SYK models. We also study $\mathcal{N}=1$ bi-local superconformal generators in the supermatrix formulation, and find the eigenvectors of teh superconformal Casimir. We diagonalize the quadratic action in large $N$ expansion. |
0912.5418 | Nakwoo Kim | Nakwoo Kim | Quiver Chern-Simons theories and 3-algebra orbifolds | 10 pages, revtex4 | Phys.Lett.B687:371-374,2010 | 10.1016/j.physletb.2010.03.058 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We attempt to derive quiver Chern-Simons-matter theories from the
Bagger-Lambert theory with Nambu bracket, through an orbifold prescription
which effectively induces a dimensional reduction of the internal space for
3-algebra. We consider M2-branes on an N=4 orbifold $C^2/Z_k\times C^2$, and
compare the result with the so-called dual Aharony-Bergman-Jafferis-Maldacena
model, proposed recently by Hanany, Vegh, and Zaffaroni. Unlike the N=6 example
$C^4/Z_k$, we find ambiguities in the matrix regularization.
| [
{
"created": "Wed, 30 Dec 2009 05:22:42 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Kim",
"Nakwoo",
""
]
] | We attempt to derive quiver Chern-Simons-matter theories from the Bagger-Lambert theory with Nambu bracket, through an orbifold prescription which effectively induces a dimensional reduction of the internal space for 3-algebra. We consider M2-branes on an N=4 orbifold $C^2/Z_k\times C^2$, and compare the result with the so-called dual Aharony-Bergman-Jafferis-Maldacena model, proposed recently by Hanany, Vegh, and Zaffaroni. Unlike the N=6 example $C^4/Z_k$, we find ambiguities in the matrix regularization. |
hep-th/9510222 | Nathan Seiberg | D. Kutasov, A. Schwimmer and N. Seiberg | Chiral Rings, Singularity Theory and Electric-Magnetic Duality | 50 pages, uses harvmac | Nucl.Phys.B459:455-496,1996 | 10.1016/0550-3213(95)00599-4 | EFI-95-68, WIS/95/27, RU-95-75 | hep-th hep-ph | null | We study in detail the space of perturbations of a pair of dual $N=1$
supersymmetric theories based on an $SU(N_c)$ gauge theory with an adjoint $X$
and fundamentals with a superpotential which is polynomial in $X$. The
equivalence between them depends on non-trivial facts about polynomial
equations, i.e.\ singularity theory. The classical chiral rings of the two
theories are different. Quantum mechanically there are new relations in the
chiral rings which ensure their equivalence. Duality interchanges ``trivial''
classical relations in one theory with quantum relations in the other and vice
versa. We also speculate about the behavior of the theory without the
superpotential.
| [
{
"created": "Mon, 30 Oct 1995 18:55:31 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Kutasov",
"D.",
""
],
[
"Schwimmer",
"A.",
""
],
[
"Seiberg",
"N.",
""
]
] | We study in detail the space of perturbations of a pair of dual $N=1$ supersymmetric theories based on an $SU(N_c)$ gauge theory with an adjoint $X$ and fundamentals with a superpotential which is polynomial in $X$. The equivalence between them depends on non-trivial facts about polynomial equations, i.e.\ singularity theory. The classical chiral rings of the two theories are different. Quantum mechanically there are new relations in the chiral rings which ensure their equivalence. Duality interchanges ``trivial'' classical relations in one theory with quantum relations in the other and vice versa. We also speculate about the behavior of the theory without the superpotential. |
hep-th/0506199 | Patrick Jacob | P. Jacob and P. Mathieu | The Z_k^(su(2),3/2) Parafermions | 9 pages; minor corrections at the end of section 4; Section 5 removed | Phys.Lett. B627 (2005) 224-232 | 10.1016/j.physletb.2005.09.006 | DCPT-05/31 | hep-th math-ph math.MP | null | We introduce a novel parafermionic theory for which the conformal dimension
of the basic parafermion is 3(1-1/k)/2, with k even. The structure constants
and the central charges are obtained from mode-type associativity calculations.
The spectrum of the completely reducible representations is also determined.
The primary fields turns out to be labeled by two positive integers instead of
a single one for the usual parafermionic models. The simplest singular vectors
are also displayed. It is argued that these models are equivalent to the
non-unitary minimal W_k(k+1,k+3) models. More generally, we expect all
W_k(k+1,k+2 beta) models to be identified with generalized parafermionic models
whose lowest dimensional parafermion has dimension beta(1-1/k).
| [
{
"created": "Thu, 23 Jun 2005 19:35:01 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jun 2005 20:31:19 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jul 2005 18:39:31 GMT",
"version": "v3"
},
{
"created": "Mon, 19 Sep 2005 15:59:48 GMT",
"version": "v4"
}
] | 2016-09-06 | [
[
"Jacob",
"P.",
""
],
[
"Mathieu",
"P.",
""
]
] | We introduce a novel parafermionic theory for which the conformal dimension of the basic parafermion is 3(1-1/k)/2, with k even. The structure constants and the central charges are obtained from mode-type associativity calculations. The spectrum of the completely reducible representations is also determined. The primary fields turns out to be labeled by two positive integers instead of a single one for the usual parafermionic models. The simplest singular vectors are also displayed. It is argued that these models are equivalent to the non-unitary minimal W_k(k+1,k+3) models. More generally, we expect all W_k(k+1,k+2 beta) models to be identified with generalized parafermionic models whose lowest dimensional parafermion has dimension beta(1-1/k). |
2110.05399 | Hong-Jian He | Yan-Feng Hang, Hong-Jian He, Cong Shen | Structure of Chern-Simons Scattering Amplitudes from Topological
Equivalence Theorem and Double-Copy | 46 pages. All results and conclusions unchanged. Only minor
refinements to stress the focus and new contributions of this paper.
References added | JHEP 01 (2022) 153 | 10.1007/JHEP01(2022)153 | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study the mechanism of topological mass-generation for 3d Chern-Simons
(CS) gauge theories, where the CS term can retain the gauge symmetry and make
gauge boson topologically massive. Without CS term the 3d massless gauge boson
has a single physical transverse polarization state, while adding the CS term
converts it into a massive physical polarization state and conserves the total
physical degrees of freedom. We newly formulate the mechanism of topological
mass-generation at $S$-matrix level. For this, we propose and prove a new
Topological Equivalence Theorem (TET) which connects the $N$-point scattering
amplitude of the gauge boson's physical polarization states ($A^a_{\rm{P}}$) to
that of the transverse polarization states ($A^a_{\rm{T}}$) under high energy
expansion. We present a general 3d power counting method on the leading energy
dependence of $N$-point scattering amplitudes in both topologically massive
Yang-Mills (TMYM) and topologically massive gravity (TMG) theories. With these,
we uncover a general energy cancellation mechanism for $N$-gauge boson
scattering amplitudes which predicts the cancellation $E^4 \to E^{4-N}$ at tree
level. Then, we compute the four-point amplitudes of $A^a_{\rm{P}}$'s and of
$A^a_{\rm{T}}$'s, with which we explicitly demonstrate the TET and establish
such energy cancellations. We further extend the double-copy approach and
construct the four-point massive graviton amplitude of the TMG theory from the
massive gauge boson amplitude of the TMYM theory. With these, we newly uncover
striking large energy cancellations $E^{12}\to E^1$ in the four-graviton
amplitude of the TMG, and establish its new correspondence to the leading
energy cancellations $E^4 \to E^0$ in the four-gauge boson amplitude of the
TMYM.
| [
{
"created": "Mon, 11 Oct 2021 16:39:07 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2021 17:17:20 GMT",
"version": "v2"
}
] | 2023-03-21 | [
[
"Hang",
"Yan-Feng",
""
],
[
"He",
"Hong-Jian",
""
],
[
"Shen",
"Cong",
""
]
] | We study the mechanism of topological mass-generation for 3d Chern-Simons (CS) gauge theories, where the CS term can retain the gauge symmetry and make gauge boson topologically massive. Without CS term the 3d massless gauge boson has a single physical transverse polarization state, while adding the CS term converts it into a massive physical polarization state and conserves the total physical degrees of freedom. We newly formulate the mechanism of topological mass-generation at $S$-matrix level. For this, we propose and prove a new Topological Equivalence Theorem (TET) which connects the $N$-point scattering amplitude of the gauge boson's physical polarization states ($A^a_{\rm{P}}$) to that of the transverse polarization states ($A^a_{\rm{T}}$) under high energy expansion. We present a general 3d power counting method on the leading energy dependence of $N$-point scattering amplitudes in both topologically massive Yang-Mills (TMYM) and topologically massive gravity (TMG) theories. With these, we uncover a general energy cancellation mechanism for $N$-gauge boson scattering amplitudes which predicts the cancellation $E^4 \to E^{4-N}$ at tree level. Then, we compute the four-point amplitudes of $A^a_{\rm{P}}$'s and of $A^a_{\rm{T}}$'s, with which we explicitly demonstrate the TET and establish such energy cancellations. We further extend the double-copy approach and construct the four-point massive graviton amplitude of the TMG theory from the massive gauge boson amplitude of the TMYM theory. With these, we newly uncover striking large energy cancellations $E^{12}\to E^1$ in the four-graviton amplitude of the TMG, and establish its new correspondence to the leading energy cancellations $E^4 \to E^0$ in the four-gauge boson amplitude of the TMYM. |
1302.2016 | Yun-Long Zhang | Rong-Gen Cai, Li Li, Qing Yang, Yun-Long Zhang | Petrov type I Condition and Dual Fluid Dynamics | 20 pages, published version, with minor improvements | JHEP 1304(2013) 118 | 10.1007/JHEP04(2013)118 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently Lysov and Strominger [arXiv:1104.5502] showed that imposing Petrov
type I condition on a $(p+1)$-dimensional timelike hypersurface embedded in a
$(p+2)$-dimensional vacuum Einstein gravity reduces the degrees of freedom in
the extrinsic curvature of the hypersurface to that of a fluid on the
hypersurface, and that the leading-order Einstein constraint equations in terms
of the mean curvature of the embedding give the incompressible Navier-Stokes
equations of the dual fluid. In this paper we show that the non-relativistic
fluid dual to vacuum Einstein gravity does not satisfy the Petrov type I
condition at next order, unless additional constraint such as the irrotational
condition is added. In addition, we show that this procedure can be inversed to
derive the non-relativistic hydrodynamics with higher order corrections through
imposing the Petrov type I condition, and that some second order transport
coefficients can be extracted, but the dual "Petrov type I fluid" does not
match the dual fluid constructed from the geometry of vacuum Einstein gravity
in the non-relativistic limit. We discuss the procedure both on the finite
cutoff surface via the non-relativistic hydrodynamic expansion and on the
highly accelerated surface via the near horizon expansion.
| [
{
"created": "Fri, 8 Feb 2013 12:26:23 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2014 17:58:54 GMT",
"version": "v2"
}
] | 2014-03-18 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Li",
"Li",
""
],
[
"Yang",
"Qing",
""
],
[
"Zhang",
"Yun-Long",
""
]
] | Recently Lysov and Strominger [arXiv:1104.5502] showed that imposing Petrov type I condition on a $(p+1)$-dimensional timelike hypersurface embedded in a $(p+2)$-dimensional vacuum Einstein gravity reduces the degrees of freedom in the extrinsic curvature of the hypersurface to that of a fluid on the hypersurface, and that the leading-order Einstein constraint equations in terms of the mean curvature of the embedding give the incompressible Navier-Stokes equations of the dual fluid. In this paper we show that the non-relativistic fluid dual to vacuum Einstein gravity does not satisfy the Petrov type I condition at next order, unless additional constraint such as the irrotational condition is added. In addition, we show that this procedure can be inversed to derive the non-relativistic hydrodynamics with higher order corrections through imposing the Petrov type I condition, and that some second order transport coefficients can be extracted, but the dual "Petrov type I fluid" does not match the dual fluid constructed from the geometry of vacuum Einstein gravity in the non-relativistic limit. We discuss the procedure both on the finite cutoff surface via the non-relativistic hydrodynamic expansion and on the highly accelerated surface via the near horizon expansion. |
hep-th/0612091 | Emil Nissimov | Eduardo Guendelman and Alexander Kaganovich (Ben-Gurion Univ.,
Beer-Sheva), Emil Nissimov and Svetlana Pacheva (Inst. Nucl. Res., Sofia) | Weyl-Invariant Lightlike Branes and Soldering of Black Hole Space-Times | To appear in ``Constituents, Fundamental Forces and Symmetries of the
Universe'' (Naples, Oct. 2006), D. Luest et.al. eds., Forschritte der Physik
(2007) | Fortsch.Phys.55:579-584,2007 | 10.1002/prop.200610358 | null | hep-th gr-qc | null | We consider self-consistent coupling of the recently introduced new class of
Weyl-conformally invariant lightlike branes (WILL-branes) to D=4
Einstein-Maxwell system plus a D=4 three-index antisymmetric tensor gauge
field. We find static spherically-symmetric solutions where the space-time
consists of two regions with different black-hole-type geometries and different
values for a dynamically generated cosmological constant, separated by the
WILL-brane which ``straddles'' their common event horizon. Furthermore, the
WILL-brane produces a potential ``well'' around itself acting as a trap for
test particles falling towards the horizon.
| [
{
"created": "Mon, 11 Dec 2006 14:06:06 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Guendelman",
"Eduardo",
"",
"Ben-Gurion Univ.,\n Beer-Sheva"
],
[
"Kaganovich",
"Alexander",
"",
"Ben-Gurion Univ.,\n Beer-Sheva"
],
[
"Nissimov",
"Emil",
"",
"Inst. Nucl. Res., Sofia"
],
[
"Pacheva",
"Svetlana",
"",
"Inst. Nucl. Res., Sofia"
]
] | We consider self-consistent coupling of the recently introduced new class of Weyl-conformally invariant lightlike branes (WILL-branes) to D=4 Einstein-Maxwell system plus a D=4 three-index antisymmetric tensor gauge field. We find static spherically-symmetric solutions where the space-time consists of two regions with different black-hole-type geometries and different values for a dynamically generated cosmological constant, separated by the WILL-brane which ``straddles'' their common event horizon. Furthermore, the WILL-brane produces a potential ``well'' around itself acting as a trap for test particles falling towards the horizon. |
2004.03619 | Marius Gerbershagen | Johanna Erdmenger, Marius Gerbershagen and Anna-Lena Weigel | Complexity measures from geometric actions on Virasoro and Kac-Moody
orbits | 56 pages, v2: references added, discussion of Kac-Moody case and
conclusion expanded | null | 10.1007/JHEP11(2020)003 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We further advance the study of the notion of computational complexity for 2d
CFTs based on a gate set built out of conformal symmetry transformations.
Previously, it was shown that by choosing a suitable cost function, the
resulting complexity functional is equivalent to geometric (group) actions on
coadjoint orbits of the Virasoro group, up to a term that originates from the
central extension. We show that this term can be recovered by modifying the
cost function, making the equivalence exact. Moreover, we generalize our
approach to Kac-Moody symmetry groups, finding again an exact equivalence
between complexity functionals and geometric actions. We then determine the
optimal circuits for these complexity measures and calculate the corresponding
costs for several examples of optimal transformations. In the Virasoro case, we
find that for all choices of reference state except for the vacuum state, the
complexity only measures the cost associated to phase changes, while assigning
zero cost to the non-phase changing part of the transformation. For Kac-Moody
groups in contrast, there do exist non-trivial optimal transformations beyond
phase changes that contribute to the complexity, yielding a finite gauge
invariant result. Furthermore, we also show that the alternative complexity
proposal of path integral optimization is equivalent to the Virasoro proposal
studied here. Finally, we sketch a new proposal for a complexity definition for
the Virasoro group that measures the cost associated to non-trivial
transformations beyond phase changes. This proposal is based on a cost function
given by a metric on the Lie group of conformal transformations. The
minimization of the corresponding complexity functional is achieved using the
Euler-Arnold method yielding the Korteweg-de Vries equation as equation of
motion.
| [
{
"created": "Tue, 7 Apr 2020 18:00:30 GMT",
"version": "v1"
},
{
"created": "Thu, 14 May 2020 18:07:46 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Erdmenger",
"Johanna",
""
],
[
"Gerbershagen",
"Marius",
""
],
[
"Weigel",
"Anna-Lena",
""
]
] | We further advance the study of the notion of computational complexity for 2d CFTs based on a gate set built out of conformal symmetry transformations. Previously, it was shown that by choosing a suitable cost function, the resulting complexity functional is equivalent to geometric (group) actions on coadjoint orbits of the Virasoro group, up to a term that originates from the central extension. We show that this term can be recovered by modifying the cost function, making the equivalence exact. Moreover, we generalize our approach to Kac-Moody symmetry groups, finding again an exact equivalence between complexity functionals and geometric actions. We then determine the optimal circuits for these complexity measures and calculate the corresponding costs for several examples of optimal transformations. In the Virasoro case, we find that for all choices of reference state except for the vacuum state, the complexity only measures the cost associated to phase changes, while assigning zero cost to the non-phase changing part of the transformation. For Kac-Moody groups in contrast, there do exist non-trivial optimal transformations beyond phase changes that contribute to the complexity, yielding a finite gauge invariant result. Furthermore, we also show that the alternative complexity proposal of path integral optimization is equivalent to the Virasoro proposal studied here. Finally, we sketch a new proposal for a complexity definition for the Virasoro group that measures the cost associated to non-trivial transformations beyond phase changes. This proposal is based on a cost function given by a metric on the Lie group of conformal transformations. The minimization of the corresponding complexity functional is achieved using the Euler-Arnold method yielding the Korteweg-de Vries equation as equation of motion. |
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