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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1109.2579 | Sofiane Faci | Sofiane Faci | Constructing conformally invariant equations using Weyl geometry | This paper has been replaced by arXiv:1212.2599 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new method for the construction of conformally invariant equations in an
arbitrary four dimensional (pseudo-) Riemannian space is presented. This method
uses the Weyl geometry as a tool and exploits the natural conformal invariance
we can build in the framework of this geometry. Indeed, working in a Weyl
space, using the Weyl covariant derivative and the intrinsic Weylian
geometrical tensors, all conformally homogeneous operators will be conformally
invariant, as will the equations they determine. A Weyl space is defined by two
independent objects: the metric tensor $g_{\mu\nu}$ and the Weyl vector
$W_{\mu}$. A simple procedure allows us to go from a Weyl space into a Riemann
space by imposing the Weyl vector to be a gradient. Under some conditions, the
Weylian conformally invariant equations reduce to Riemannian conformally
invariant equations. This method is applied to construct some conformally
invariant scalar field equations, check the conformal invariance of Maxwell
equations and recover the Eastwood-Singer conformal gauge fixing condition.
| [
{
"created": "Mon, 12 Sep 2011 19:42:37 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Dec 2012 19:35:57 GMT",
"version": "v2"
},
{
"created": "Sun, 29 Nov 2015 16:58:20 GMT",
"version": "v3"
}
] | 2015-12-01 | [
[
"Faci",
"Sofiane",
""
]
] | A new method for the construction of conformally invariant equations in an arbitrary four dimensional (pseudo-) Riemannian space is presented. This method uses the Weyl geometry as a tool and exploits the natural conformal invariance we can build in the framework of this geometry. Indeed, working in a Weyl space, using the Weyl covariant derivative and the intrinsic Weylian geometrical tensors, all conformally homogeneous operators will be conformally invariant, as will the equations they determine. A Weyl space is defined by two independent objects: the metric tensor $g_{\mu\nu}$ and the Weyl vector $W_{\mu}$. A simple procedure allows us to go from a Weyl space into a Riemann space by imposing the Weyl vector to be a gradient. Under some conditions, the Weylian conformally invariant equations reduce to Riemannian conformally invariant equations. This method is applied to construct some conformally invariant scalar field equations, check the conformal invariance of Maxwell equations and recover the Eastwood-Singer conformal gauge fixing condition. |
1104.1576 | Hans-Peter Pavel | H.-P. Pavel | SU(2) Dirac-Yang-Mills quantum mechanics of spatially constant quark and
gluon fields | Tab.1 and Fig.1 updated, accepted for publication in Physics Letters
B | Phys.Lett.B700:265-276,2011 | 10.1016/j.physletb.2011.05.018 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quantum mechanics of spatially constant SU(2) Yang-Mills- and
Dirac-fields minimally coupled to each other is investigated as the strong
coupling limit of 2-color-QCD. Using a canonical transformation of the quark
and gluon fields, which Abelianises the Gauss law constraints to be
implemented, the corresponding unconstrained Hamiltonian and total angular
momentum are derived. In the same way as this reduces the colored spin-1 gluons
to unconstrained colorless spin-0 and spin-2 gluons, it reduces the colored
spin-1/2 quarks to unconstrained colorless spin-0 and spin-1 quarks. These
however continue to satisfy anti-commutation relations and hence the
Pauli-exclusion principle. The obtained unconstrained Hamiltonian is then
rewritten into a form, which separates the rotational from the scalar degrees
of freedom. In this form the low-energy spectrum can be obtained with high
accuracy. As an illustrative example, the spin-0 energy-spectrum of the
quark-gluon system is calculated for massless quarks of one flavor. It is
found, that only for the case of 4 reduced quarks (half-filling) satisfying the
boundary condition of particle-antiparticle C-symmetry, states with energy
lower than for the pure-gluon case are obtained. These are the groundstate,
with an energy about 20% lower than for the pure-gluon case and the formation
of a quark condensate, and the sigma-antisigma excitation with an energy about
a fifth of that of the first glueball excitation.
| [
{
"created": "Fri, 8 Apr 2011 13:51:50 GMT",
"version": "v1"
},
{
"created": "Tue, 10 May 2011 15:45:49 GMT",
"version": "v2"
}
] | 2011-06-13 | [
[
"Pavel",
"H. -P.",
""
]
] | The quantum mechanics of spatially constant SU(2) Yang-Mills- and Dirac-fields minimally coupled to each other is investigated as the strong coupling limit of 2-color-QCD. Using a canonical transformation of the quark and gluon fields, which Abelianises the Gauss law constraints to be implemented, the corresponding unconstrained Hamiltonian and total angular momentum are derived. In the same way as this reduces the colored spin-1 gluons to unconstrained colorless spin-0 and spin-2 gluons, it reduces the colored spin-1/2 quarks to unconstrained colorless spin-0 and spin-1 quarks. These however continue to satisfy anti-commutation relations and hence the Pauli-exclusion principle. The obtained unconstrained Hamiltonian is then rewritten into a form, which separates the rotational from the scalar degrees of freedom. In this form the low-energy spectrum can be obtained with high accuracy. As an illustrative example, the spin-0 energy-spectrum of the quark-gluon system is calculated for massless quarks of one flavor. It is found, that only for the case of 4 reduced quarks (half-filling) satisfying the boundary condition of particle-antiparticle C-symmetry, states with energy lower than for the pure-gluon case are obtained. These are the groundstate, with an energy about 20% lower than for the pure-gluon case and the formation of a quark condensate, and the sigma-antisigma excitation with an energy about a fifth of that of the first glueball excitation. |
2104.00713 | Shi Cheng | Shi Cheng, Piotr Su{\l}kowski | Refined open topological strings revisited | 57 pages, 30 figures | null | 10.1103/PhysRevD.104.106012 | Phys. Rev. D 104, 106012 (2021) | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this work we verify consistency of refined topological string theory from
several perspectives. First, we advance the method of computing refined open
amplitudes by means of geometric transitions. Based on such computations we
show that refined open BPS invariants are non-negative integers for a large
class of toric Calabi-Yau threefolds: an infinite class of strip geometries,
closed topological vertex geometry, and some threefolds with compact
four-cycles. Furthermore, for an infinite class of toric geometries without
compact four-cycles we show that refined open string amplitudes take form of
quiver generating series. This generalizes the relation to quivers found
earlier in the unrefined case, implies that refined open BPS states are made of
a finite number of elementary BPS states, and asserts that all refined open BPS
invariants associated to a given brane are non-negative integers in consequence
of their relation to (integer and non-negative) motivic Donaldson-Thomas
invariants. Non-negativity of motivic Donaldson-Thomas invariants of a
symmetric quiver is therefore crucial in the context of refined open
topological strings. Furthermore, reinterpreting these results in terms of webs
of five-branes, we analyze Hanany-Witten transitions in novel configurations
involving lagrangian branes.
| [
{
"created": "Thu, 1 Apr 2021 18:37:50 GMT",
"version": "v1"
}
] | 2021-12-01 | [
[
"Cheng",
"Shi",
""
],
[
"Sułkowski",
"Piotr",
""
]
] | In this work we verify consistency of refined topological string theory from several perspectives. First, we advance the method of computing refined open amplitudes by means of geometric transitions. Based on such computations we show that refined open BPS invariants are non-negative integers for a large class of toric Calabi-Yau threefolds: an infinite class of strip geometries, closed topological vertex geometry, and some threefolds with compact four-cycles. Furthermore, for an infinite class of toric geometries without compact four-cycles we show that refined open string amplitudes take form of quiver generating series. This generalizes the relation to quivers found earlier in the unrefined case, implies that refined open BPS states are made of a finite number of elementary BPS states, and asserts that all refined open BPS invariants associated to a given brane are non-negative integers in consequence of their relation to (integer and non-negative) motivic Donaldson-Thomas invariants. Non-negativity of motivic Donaldson-Thomas invariants of a symmetric quiver is therefore crucial in the context of refined open topological strings. Furthermore, reinterpreting these results in terms of webs of five-branes, we analyze Hanany-Witten transitions in novel configurations involving lagrangian branes. |
1201.6073 | Andrei Belitsky | A. V. Belitsky | Conformal anomaly of super Wilson loop | 20 pages, 3 figures | null | 10.1016/j.nuclphysb.2012.04.022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Classically supersymmetric Wilson loop on a null polygonal contour possesses
all symmetries required to match it onto non-MHV amplitudes in maximally
supersymmetric Yang-Mills theory. However, to define it quantum mechanically,
one is forced to regularize it since perturbative loop diagrams are not
well-defined due to presence of ultraviolet divergences stemming from
integration in the vicinity of the cusps. A regularization that is adopted by
practitioners by allowing one to use spinor helicity formalism, on the one
hand, and systematically go to higher orders of perturbation theory is based on
a version of dimensional regularization, known as Four-Dimensional Helicity
scheme. Recently it was demonstrated that its use for the super Wilson loop at
one loop breaks both conformal symmetry and Poincare supersymmetry. Presently,
we exhibit the origin for these effects and demonstrate how one can undo this
breaking. The phenomenon is alike the one emerging in renormalization group
mixing of conformal operators in conformal theories when one uses dimensional
regularization. The rotation matrix to the diagonal basis is found by means of
computing the anomaly in the Ward identity for the conformal boost. Presently,
we apply this ideology to the super Wilson loop. We compute the one-loop
conformal anomaly for the super Wilson loop and find that the anomaly depends
on its Grassmann coordinates. By subtracting this anomalous contribution from
the super Wilson loop we restore its interpretation as a dual description for
reduced non-MHV amplitudes which are expressed in terms of superconformal
invariants.
| [
{
"created": "Sun, 29 Jan 2012 20:01:25 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Belitsky",
"A. V.",
""
]
] | Classically supersymmetric Wilson loop on a null polygonal contour possesses all symmetries required to match it onto non-MHV amplitudes in maximally supersymmetric Yang-Mills theory. However, to define it quantum mechanically, one is forced to regularize it since perturbative loop diagrams are not well-defined due to presence of ultraviolet divergences stemming from integration in the vicinity of the cusps. A regularization that is adopted by practitioners by allowing one to use spinor helicity formalism, on the one hand, and systematically go to higher orders of perturbation theory is based on a version of dimensional regularization, known as Four-Dimensional Helicity scheme. Recently it was demonstrated that its use for the super Wilson loop at one loop breaks both conformal symmetry and Poincare supersymmetry. Presently, we exhibit the origin for these effects and demonstrate how one can undo this breaking. The phenomenon is alike the one emerging in renormalization group mixing of conformal operators in conformal theories when one uses dimensional regularization. The rotation matrix to the diagonal basis is found by means of computing the anomaly in the Ward identity for the conformal boost. Presently, we apply this ideology to the super Wilson loop. We compute the one-loop conformal anomaly for the super Wilson loop and find that the anomaly depends on its Grassmann coordinates. By subtracting this anomalous contribution from the super Wilson loop we restore its interpretation as a dual description for reduced non-MHV amplitudes which are expressed in terms of superconformal invariants. |
1804.03394 | Alexander Kamenshchik | Andrei O. Barvinsky, Alexander Yu. Kamenshchik and Tereza Vardanyan | Comment about the vanishing of the vacuum energy in the Wess-Zumino
model | 13 pages | Physics Letters B 782 (2018) 55-60 | 10.1016/j.physletb.2018.05.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We check the cancellation of the vacuum energy in the Wess-Zumino model at
the two-loop order in the component field formalisms with and without auxiliary
fields. We show that in both cases the vacuum energy is equal to zero. However,
in the formalism where the auxiliary fields are excluded, the vanishing of the
vacuum energy arises due to the cancellation between the potential and kinetic
energies, while in the formalism with the auxiliary fields, both terms vanish
separately.
| [
{
"created": "Tue, 10 Apr 2018 08:25:42 GMT",
"version": "v1"
}
] | 2018-05-29 | [
[
"Barvinsky",
"Andrei O.",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Vardanyan",
"Tereza",
""
]
] | We check the cancellation of the vacuum energy in the Wess-Zumino model at the two-loop order in the component field formalisms with and without auxiliary fields. We show that in both cases the vacuum energy is equal to zero. However, in the formalism where the auxiliary fields are excluded, the vanishing of the vacuum energy arises due to the cancellation between the potential and kinetic energies, while in the formalism with the auxiliary fields, both terms vanish separately. |
0808.2901 | Zohar Komargodski | Amit Giveon, Andrey Katz, Zohar Komargodski, David Shih | Dynamical SUSY and R-symmetry breaking in SQCD with massive and massless
flavors | 25 pages. v2: added references, minor correction | JHEP 0810:092,2008 | 10.1088/1126-6708/2008/10/092 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that supersymmetry and R-symmetry can be dynamically broken in a
long-lived metastable vacuum of SQCD with massive and massless flavors. The
vacuum results from a competition of a (leading) two-loop effect and small
"Planck" suppressed higher-dimension operators. This mechanism provides a
particularly simple realization of dynamical SUSY and R-symmetry breaking, and
as such it is a good starting point for building phenomenologically viable
models of gauge mediation. We take a preliminary step in this direction by
constructing a complete model of minimal gauge mediation. Here we find that the
parameters of the model are surprisingly constrained by the hidden sector.
Similar mechanisms for creating long-lived states operate in a large class of
models.
| [
{
"created": "Thu, 21 Aug 2008 11:10:29 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Aug 2008 22:18:06 GMT",
"version": "v2"
}
] | 2009-12-07 | [
[
"Giveon",
"Amit",
""
],
[
"Katz",
"Andrey",
""
],
[
"Komargodski",
"Zohar",
""
],
[
"Shih",
"David",
""
]
] | We show that supersymmetry and R-symmetry can be dynamically broken in a long-lived metastable vacuum of SQCD with massive and massless flavors. The vacuum results from a competition of a (leading) two-loop effect and small "Planck" suppressed higher-dimension operators. This mechanism provides a particularly simple realization of dynamical SUSY and R-symmetry breaking, and as such it is a good starting point for building phenomenologically viable models of gauge mediation. We take a preliminary step in this direction by constructing a complete model of minimal gauge mediation. Here we find that the parameters of the model are surprisingly constrained by the hidden sector. Similar mechanisms for creating long-lived states operate in a large class of models. |
1608.04627 | Rudra Prakash Malik | R. P. Malik | Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory:
BRST Approach | LaTeX file, 22 pages, version to appear in AHEP | Advances in High Energy Physics, vol. 2022, Article ID 8155214, 14
Pages | 10.1155/2022/8155214. | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we
discuss the full set of proper BRST and anti-BRST transformations for a 2D
diffeomorphism invariant theory which is described by the Lagrangian density of
a standard bosonic string. The above (anti-)BRST transformations are off-shell
nilpotent and absolutely anticommuting. The latter property is valid on a
submanifold of the space of the quantum fields where the 2D version of the
universal (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions are
satisfied. We derive the precise forms of the BRST and anti-BRST invariant
Lagrangian densities as well as the exact expressions for the conserved
(anti-)BRST and ghost charges. The lucid derivation of the proper anti-BRST
symmetry transformations and the emergence of the CF-type restrictions are
completely novel results for our present bosonic string which has already been
discussed earlier in literature where only the BRST symmetry transformations
have been pointed out. We briefly mention the derivation of the CF-type
restrictions from the modified version of Bonora-Tonin superfield approach,
too.
| [
{
"created": "Tue, 16 Aug 2016 14:53:05 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jan 2021 14:06:33 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Jan 2022 12:58:18 GMT",
"version": "v3"
}
] | 2022-02-01 | [
[
"Malik",
"R. P.",
""
]
] | Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the full set of proper BRST and anti-BRST transformations for a 2D diffeomorphism invariant theory which is described by the Lagrangian density of a standard bosonic string. The above (anti-)BRST transformations are off-shell nilpotent and absolutely anticommuting. The latter property is valid on a submanifold of the space of the quantum fields where the 2D version of the universal (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions are satisfied. We derive the precise forms of the BRST and anti-BRST invariant Lagrangian densities as well as the exact expressions for the conserved (anti-)BRST and ghost charges. The lucid derivation of the proper anti-BRST symmetry transformations and the emergence of the CF-type restrictions are completely novel results for our present bosonic string which has already been discussed earlier in literature where only the BRST symmetry transformations have been pointed out. We briefly mention the derivation of the CF-type restrictions from the modified version of Bonora-Tonin superfield approach, too. |
hep-th/0304032 | Martin Kruczenski | Martin Kruczenski, David Mateos, Robert C. Myers and David J. Winters | Meson Spectroscopy in AdS/CFT with Flavour | LaTeX, 39 pages, 4 figures, uses epsf. v2: typos corrected.
references added | JHEP 0307:049,2003 | 10.1088/1126-6708/2003/07/049 | null | hep-th hep-ph | null | We compute the meson spectrum of an N=2 super Yang-Mills theory with
fundamental matter from its dual string theory on AdS_5 x S_5 with a D7-brane
probe. For scalar and vector mesons with arbitrary R-charge the spectrum is
computed in closed form by solving the equations for D7-brane fluctuations; for
matter with non-zero mass m_q it is discrete, exhibits a mass gap of order m_q
/ sqrt(g_s N) and furnishes representations of SO(5) even though the manifest
global symmetry of the theory is only SO(4). The spectrum of mesons with large
spin J is obtained from semiclassical, rotating open strings attached to the
D7-brane. It displays Regge-like behaviour for J << sqrt(g_s N), whereas for J
>> sqrt(g_s N) it corresponds to that of two non-relativistic quarks bound by a
Coulomb potential. Meson interactions, baryons and `giant gauge bosons' are
briefly discussed.
| [
{
"created": "Fri, 4 Apr 2003 20:49:16 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jun 2003 18:09:19 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Kruczenski",
"Martin",
""
],
[
"Mateos",
"David",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Winters",
"David J.",
""
]
] | We compute the meson spectrum of an N=2 super Yang-Mills theory with fundamental matter from its dual string theory on AdS_5 x S_5 with a D7-brane probe. For scalar and vector mesons with arbitrary R-charge the spectrum is computed in closed form by solving the equations for D7-brane fluctuations; for matter with non-zero mass m_q it is discrete, exhibits a mass gap of order m_q / sqrt(g_s N) and furnishes representations of SO(5) even though the manifest global symmetry of the theory is only SO(4). The spectrum of mesons with large spin J is obtained from semiclassical, rotating open strings attached to the D7-brane. It displays Regge-like behaviour for J << sqrt(g_s N), whereas for J >> sqrt(g_s N) it corresponds to that of two non-relativistic quarks bound by a Coulomb potential. Meson interactions, baryons and `giant gauge bosons' are briefly discussed. |
1009.2525 | Thomas Hertog | James Hartle, S.W. Hawking, Thomas Hertog | Local Observation in Eternal inflation | 4 pages; v2: published version | Phys.Rev.Lett.106:141302,2011 | 10.1103/PhysRevLett.106.141302 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider landscape models that admit several regions where the conditions
for eternal inflation hold. It is shown that one can use the no-boundary wave
function to calculate small departures from homogeneity within our past light
cone despite the possibility of much larger fluctuations on super horizon
scales. The dominant contribution comes from the history exiting eternal
inflation at the lowest value of the potential. In a class of landscape models
this predicts a tensor to scalar ratio of about 10%. In this way the
no-boundary wave function defines a measure for the prediction of local
cosmological observations.
| [
{
"created": "Mon, 13 Sep 2010 21:14:56 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Apr 2011 09:17:20 GMT",
"version": "v2"
}
] | 2011-04-20 | [
[
"Hartle",
"James",
""
],
[
"Hawking",
"S. W.",
""
],
[
"Hertog",
"Thomas",
""
]
] | We consider landscape models that admit several regions where the conditions for eternal inflation hold. It is shown that one can use the no-boundary wave function to calculate small departures from homogeneity within our past light cone despite the possibility of much larger fluctuations on super horizon scales. The dominant contribution comes from the history exiting eternal inflation at the lowest value of the potential. In a class of landscape models this predicts a tensor to scalar ratio of about 10%. In this way the no-boundary wave function defines a measure for the prediction of local cosmological observations. |
hep-th/0406139 | G\'abor Zsolt T\'oth | Gabor Zsolt Toth (Eotvos Univ., Budapest, Hungary) | A nonperturbative study of phase transitions in the multi-frequency
sine-Gordon model | 26 pages, LaTeX, minor modification | J.Phys. A37 (2004) 9631-9650 | 10.1088/0305-4470/37/41/003 | KCL-MTH-04-08, ITP-Budapest Report No. 611 | hep-th cond-mat.other | null | The phase spaces of the two- and three-frequency sine-Gordon models are
examined in the framework of truncated conformal space approach. The focus is
mainly on a tricritical point in the phase space of the three-frequency model.
We give substantial evidence that this point exists. We also find the critical
line in the phase space and present TCSA data showing the change of the
spectrum on the critical line as the tricritical endpoint is approached. We
find a few points of the line of first order transition as well.
| [
{
"created": "Wed, 16 Jun 2004 18:49:07 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jul 2004 17:25:08 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Toth",
"Gabor Zsolt",
"",
"Eotvos Univ., Budapest, Hungary"
]
] | The phase spaces of the two- and three-frequency sine-Gordon models are examined in the framework of truncated conformal space approach. The focus is mainly on a tricritical point in the phase space of the three-frequency model. We give substantial evidence that this point exists. We also find the critical line in the phase space and present TCSA data showing the change of the spectrum on the critical line as the tricritical endpoint is approached. We find a few points of the line of first order transition as well. |
hep-th/0110067 | Pedro Castelo Ferreira | Pedro Castelo Ferreira | Heterotic, Open and Unoriented String Theories from Topological Membrane | 122 pages, 34 figures, D.Phil. Thesis (Supervisor: Ian I. Kogan); v2
minor typos corrected; Supervisor added to comments | null | null | null | hep-th | null | In this work are consider several topics in the Topological Membrane (TM)
approach to string theory. The string dynamics is generated from the bulk
physics, namely from the 3D Topologically Massive Gauge Theory (TMGT) and
Topologically Massive Gravity (TMG). Both (equivalent) path integral and
canonical methods of quantizing TMGT are studied. It is shown that Narain
constraints on toroidal compactification (integer, even, self-dual momentum
lattice) have a natural interpretation in purely three dimensional terms. The
Heterotic string and the block structure of c=1 RCFT are derived from the point
of view of three dimensional field theory. Open and unoriented strings in
TM(GT) theory are also studied through orbifolds of the bulk 3D space. This is
achieved by gauging discrete symmetries of the theory. Open and unoriented
strings can be obtained from all possible realizations of C, P and T
symmetries. The important role of C symmetry to distinguish between Dirichlet
and Neumann boundary conditions is discussed in detail. Future directions of
research in this field are also suggested and discussed.
| [
{
"created": "Mon, 8 Oct 2001 11:16:07 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jan 2006 14:59:55 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Ferreira",
"Pedro Castelo",
""
]
] | In this work are consider several topics in the Topological Membrane (TM) approach to string theory. The string dynamics is generated from the bulk physics, namely from the 3D Topologically Massive Gauge Theory (TMGT) and Topologically Massive Gravity (TMG). Both (equivalent) path integral and canonical methods of quantizing TMGT are studied. It is shown that Narain constraints on toroidal compactification (integer, even, self-dual momentum lattice) have a natural interpretation in purely three dimensional terms. The Heterotic string and the block structure of c=1 RCFT are derived from the point of view of three dimensional field theory. Open and unoriented strings in TM(GT) theory are also studied through orbifolds of the bulk 3D space. This is achieved by gauging discrete symmetries of the theory. Open and unoriented strings can be obtained from all possible realizations of C, P and T symmetries. The important role of C symmetry to distinguish between Dirichlet and Neumann boundary conditions is discussed in detail. Future directions of research in this field are also suggested and discussed. |
hep-th/0601217 | L\'aszl\'o \'A Gergely | L\'aszl\'o \'A. Gergely and Zolt\'an Keresztes | Irradiated asymmetric Friedmann branes | 27 pages, 12 figures | JCAP 0601 (2006) 022 | 10.1088/1475-7516/2006/01/022 | null | hep-th astro-ph gr-qc | null | We consider a Friedmann brane moving in a bulk impregnated by radiation. The
setup is strongly asymmetric, with only one black hole in the bulk. The
radiation emitted by this bulk black hole can be reflected, absorbed or
transmitted through the brane. Radiation pressure accelerates the brane,
behaving as dark energy. Absorption however generates a competing effect: the
brane becomes heavier and gravitational attraction increases. We analyse the
model numerically, assuming a total absorbtion on the brane for k=1. We
conclude that due to the two competing effects, in this asymmetric scenario the
Hawking radiation from the bulk black hole is not able to change the
recollapsing fate of this brane-world universe. We show that for light branes
and early times the radiation pressure is the dominant effect. In contrast, for
heavy branes the self-gravity of the absorbed radiation is a much stronger
effect. We find the critical value of the initial energy density for which
these two effects roughly cancel each other.
| [
{
"created": "Sun, 29 Jan 2006 23:10:59 GMT",
"version": "v1"
}
] | 2016-08-16 | [
[
"Gergely",
"László Á.",
""
],
[
"Keresztes",
"Zoltán",
""
]
] | We consider a Friedmann brane moving in a bulk impregnated by radiation. The setup is strongly asymmetric, with only one black hole in the bulk. The radiation emitted by this bulk black hole can be reflected, absorbed or transmitted through the brane. Radiation pressure accelerates the brane, behaving as dark energy. Absorption however generates a competing effect: the brane becomes heavier and gravitational attraction increases. We analyse the model numerically, assuming a total absorbtion on the brane for k=1. We conclude that due to the two competing effects, in this asymmetric scenario the Hawking radiation from the bulk black hole is not able to change the recollapsing fate of this brane-world universe. We show that for light branes and early times the radiation pressure is the dominant effect. In contrast, for heavy branes the self-gravity of the absorbed radiation is a much stronger effect. We find the critical value of the initial energy density for which these two effects roughly cancel each other. |
1812.10203 | Chanyong Park | Chanyong Park | Holographic renormalization group flow from UV to IR | 13 page, 2 figures | AAPPS Bulletin, Vol. 28, Num. 4 (2018) 64-69 | 10.22661/AAPPSBL.2018.28.4.64 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a three-dimensional geometry interpolating two different AdS
spaces. From the dual quantum field theory viewpoint, it corresponds to a
nontrivial renormalization group flow from a UV to another IR conformal field
theory. On this geometry, we discuss the change of the central charge in a
momentum-space and real-space renormalization group flow. The result shows in
both renormalization prescriptions that the central charge monotonically
decreases along the renormalization group flow.
| [
{
"created": "Wed, 26 Dec 2018 02:28:19 GMT",
"version": "v1"
}
] | 2018-12-27 | [
[
"Park",
"Chanyong",
""
]
] | We construct a three-dimensional geometry interpolating two different AdS spaces. From the dual quantum field theory viewpoint, it corresponds to a nontrivial renormalization group flow from a UV to another IR conformal field theory. On this geometry, we discuss the change of the central charge in a momentum-space and real-space renormalization group flow. The result shows in both renormalization prescriptions that the central charge monotonically decreases along the renormalization group flow. |
1612.02075 | Alexey Milekhin | A. Milekhin | CP(N) sigma model on a finite interval revisited | 7 pages | Phys. Rev. D 95, 085021 (2017) | 10.1103/PhysRevD.95.085021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short note we will revisit the large $N$ solution of $\mathbb{C}P^N$
sigma model on a finite interval of length $L$. We will find a family of
boundary conditions for which the large $N$ saddle point can be found
analytically. For a certain choice of the boundary conditions the theory has
only one phase for all values of $L$. Also, we will provide an example when
there are two phases: for large $L$ there is a standard phase with an unbroken
$U(1)$ gauge symmetry and for small $L$ there is Higgs phase with a broken
gauge symmetry.
| [
{
"created": "Tue, 6 Dec 2016 23:52:11 GMT",
"version": "v1"
}
] | 2017-05-03 | [
[
"Milekhin",
"A.",
""
]
] | In this short note we will revisit the large $N$ solution of $\mathbb{C}P^N$ sigma model on a finite interval of length $L$. We will find a family of boundary conditions for which the large $N$ saddle point can be found analytically. For a certain choice of the boundary conditions the theory has only one phase for all values of $L$. Also, we will provide an example when there are two phases: for large $L$ there is a standard phase with an unbroken $U(1)$ gauge symmetry and for small $L$ there is Higgs phase with a broken gauge symmetry. |
hep-th/9506122 | Cumrun Vafa | Debashis Ghoshal and Cumrun Vafa | c=1 String as the Topological Theory of the Conifold | 10 pages | Nucl.Phys. B453 (1995) 121-128 | 10.1016/0550-3213(95)00408-K | HUTP-95/A022 | hep-th | null | We show that the non-critical $c=1$ string at the self-dual radius is
equivalent to topological strings based on the deformation of the conifold
singularity of Calabi-Yau threefolds. The Penner sum giving the genus expansion
of the free energy of the $c=1$ string theory at the self-dual radius therefore
gives the universal behaviour of the topological partition function of a
Calabi-Yau threefold near a conifold point.
| [
{
"created": "Mon, 19 Jun 1995 15:28:43 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Ghoshal",
"Debashis",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We show that the non-critical $c=1$ string at the self-dual radius is equivalent to topological strings based on the deformation of the conifold singularity of Calabi-Yau threefolds. The Penner sum giving the genus expansion of the free energy of the $c=1$ string theory at the self-dual radius therefore gives the universal behaviour of the topological partition function of a Calabi-Yau threefold near a conifold point. |
1507.04424 | Silviu Pufu | Shai M. Chester, Simone Giombi, Luca V. Iliesiu, Igor R. Klebanov,
Silviu S. Pufu, and Ran Yacoby | Accidental Symmetries and the Conformal Bootstrap | 26 pages, 5 figures | null | 10.1007/JHEP01(2016)110 | PUPT-2483 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study an ${\cal N} = 2$ supersymmetric generalization of the
three-dimensional critical $O(N)$ vector model that is described by $N+1$
chiral superfields with superpotential $W = g_1 X \sum_i Z_i^2 + g_2 X^3$. By
combining the tools of the conformal bootstrap with results obtained through
supersymmetric localization, we argue that this model exhibits a symmetry
enhancement at the infrared superconformal fixed point due to $g_2$ flowing to
zero. This example is special in that the existence of an infrared fixed point
with $g_1,g_2\neq 0$, which does not exhibit symmetry enhancement, does not
generally lead to any obvious unitarity violations or other inconsistencies. We
do show, however, that the $F$-theorem excludes the models with $g_1,g_2\neq 0$
for $N>5$. The conformal bootstrap provides a stronger constraint and excludes
such models for $N>2$. We provide evidence that the $g_2=0$ models, which have
the enhanced $O(N)\times U(1)$ symmetry, come close to saturating the bootstrap
bounds. We extend our analysis to fractional dimensions where we can motivate
the nonexistence of the $g_1,g_2\neq 0$ models by studying them perturbatively
in the $4-\epsilon$ expansion.
| [
{
"created": "Thu, 16 Jul 2015 00:35:57 GMT",
"version": "v1"
}
] | 2016-02-17 | [
[
"Chester",
"Shai M.",
""
],
[
"Giombi",
"Simone",
""
],
[
"Iliesiu",
"Luca V.",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Yacoby",
"Ran",
""
]
] | We study an ${\cal N} = 2$ supersymmetric generalization of the three-dimensional critical $O(N)$ vector model that is described by $N+1$ chiral superfields with superpotential $W = g_1 X \sum_i Z_i^2 + g_2 X^3$. By combining the tools of the conformal bootstrap with results obtained through supersymmetric localization, we argue that this model exhibits a symmetry enhancement at the infrared superconformal fixed point due to $g_2$ flowing to zero. This example is special in that the existence of an infrared fixed point with $g_1,g_2\neq 0$, which does not exhibit symmetry enhancement, does not generally lead to any obvious unitarity violations or other inconsistencies. We do show, however, that the $F$-theorem excludes the models with $g_1,g_2\neq 0$ for $N>5$. The conformal bootstrap provides a stronger constraint and excludes such models for $N>2$. We provide evidence that the $g_2=0$ models, which have the enhanced $O(N)\times U(1)$ symmetry, come close to saturating the bootstrap bounds. We extend our analysis to fractional dimensions where we can motivate the nonexistence of the $g_1,g_2\neq 0$ models by studying them perturbatively in the $4-\epsilon$ expansion. |
1402.3961 | Gabriele Tartaglino-Mazzucchelli | Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli | N=4 supersymmetric Yang-Mills theories in AdS_3 | 45 pages; V3: minor corrections, version published in JHEP | JHEP 1405 (2014) 018 | 10.1007/JHEP05(2014)018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For all types of N=4 anti-de Sitter (AdS) supersymmetry in three dimensions,
we construct manifestly supersymmetric actions for Abelian vector multiplets
and explain how to extend the construction to the non-Abelian case. Manifestly
N=4 supersymmetric Yang-Mills (SYM) actions are explicitly given in the cases
of (2,2) and critical (4,0) AdS supersymmetries. The N=4 vector multiplets and
the corresponding actions are then reduced to (2,0) AdS superspace, in which
only N=2 supersymmetry is manifest. Using the off-shell structure of the N=4
vector multiplets, we provide complete N=4 SYM actions in (2,0) AdS superspace
for all types of N=4 AdS supersymmetry. In the case of (4,0) AdS supersymmetry,
which admits a Euclidean counterpart, the resulting N=2 action contains a
Chern-Simons term proportional to q/r, where r is the radius of AdS_3 and q is
the R-charge of a chiral scalar superfield. The R-charge is a linear
inhomogeneous function of X, an expectation value of the N=4 Cotton superfield.
Thus our results explain the mysterious structure of N=4 supersymmetric
Yang-Mills theories on S^3 discovered in arXiv:1401.7952. In the case of (3,1)
AdS supersymmetry, which has no Euclidean counterpart, the SYM action contains
both a Chern-Simons term and a chiral mass-like term. In the case of (2,2) AdS
supersymmetry, which admits a Euclidean counterpart, the SYM action has no
Chern-Simons and chiral mass-like terms.
| [
{
"created": "Mon, 17 Feb 2014 11:07:18 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Mar 2014 16:58:15 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Apr 2014 09:26:33 GMT",
"version": "v3"
}
] | 2015-10-08 | [
[
"Kuzenko",
"Sergei M.",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] | For all types of N=4 anti-de Sitter (AdS) supersymmetry in three dimensions, we construct manifestly supersymmetric actions for Abelian vector multiplets and explain how to extend the construction to the non-Abelian case. Manifestly N=4 supersymmetric Yang-Mills (SYM) actions are explicitly given in the cases of (2,2) and critical (4,0) AdS supersymmetries. The N=4 vector multiplets and the corresponding actions are then reduced to (2,0) AdS superspace, in which only N=2 supersymmetry is manifest. Using the off-shell structure of the N=4 vector multiplets, we provide complete N=4 SYM actions in (2,0) AdS superspace for all types of N=4 AdS supersymmetry. In the case of (4,0) AdS supersymmetry, which admits a Euclidean counterpart, the resulting N=2 action contains a Chern-Simons term proportional to q/r, where r is the radius of AdS_3 and q is the R-charge of a chiral scalar superfield. The R-charge is a linear inhomogeneous function of X, an expectation value of the N=4 Cotton superfield. Thus our results explain the mysterious structure of N=4 supersymmetric Yang-Mills theories on S^3 discovered in arXiv:1401.7952. In the case of (3,1) AdS supersymmetry, which has no Euclidean counterpart, the SYM action contains both a Chern-Simons term and a chiral mass-like term. In the case of (2,2) AdS supersymmetry, which admits a Euclidean counterpart, the SYM action has no Chern-Simons and chiral mass-like terms. |
hep-th/0602169 | N. I. Stoilova | R.C. King, N.I. Stoilova and J. Van der Jeugt | Representations of the Lie Superalgebra gl(1|n) in a Gel'fand-Zetlin
Basis and Wigner Quantum Oscillators | null | J.Phys.A39:5763-5786,2006 | 10.1088/0305-4470/39/20/010 | null | hep-th math-ph math.MP math.RT quant-ph | null | An explicit construction of all finite-dimensional irreducible
representations of the Lie superalgebra gl(1|n) in a Gel'fand-Zetlin basis is
given. Particular attention is paid to the so-called star type I
representations (``unitary representations''), and to a simple class of
representations V(p), with p any positive integer. Then, the notion of Wigner
Quantum Oscillators (WQOs) is recalled. In these quantum oscillator models, the
unitary representations of gl(1|DN) are physical state spaces of the N-particle
D-dimensional oscillator. So far, physical properties of gl(1|DN) WQOs were
described only in the so-called Fock spaces W(p), leading to interesting
concepts such as non-commutative coordinates and a discrete spatial structure.
Here, we describe physical properties of WQOs for other unitary
representations, including certain representations V(p) of gl(1|DN). These new
solutions again have remarkable properties following from the spectrum of the
Hamiltonian and of the position, momentum, and angular momentum operators.
Formulae are obtained that give the angular momentum content of all the
representations V(p) of gl(1|3N), associated with the N-particle 3-dimensional
WQO. For these representations V(p) we also consider in more detail the
spectrum of the position operators and their squares, leading to interesting
consequences. In particular, a classical limit of these solutions is obtained,
that is in agreement with the correspondence principle.
| [
{
"created": "Fri, 17 Feb 2006 10:51:36 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"King",
"R. C.",
""
],
[
"Stoilova",
"N. I.",
""
],
[
"Van der Jeugt",
"J.",
""
]
] | An explicit construction of all finite-dimensional irreducible representations of the Lie superalgebra gl(1|n) in a Gel'fand-Zetlin basis is given. Particular attention is paid to the so-called star type I representations (``unitary representations''), and to a simple class of representations V(p), with p any positive integer. Then, the notion of Wigner Quantum Oscillators (WQOs) is recalled. In these quantum oscillator models, the unitary representations of gl(1|DN) are physical state spaces of the N-particle D-dimensional oscillator. So far, physical properties of gl(1|DN) WQOs were described only in the so-called Fock spaces W(p), leading to interesting concepts such as non-commutative coordinates and a discrete spatial structure. Here, we describe physical properties of WQOs for other unitary representations, including certain representations V(p) of gl(1|DN). These new solutions again have remarkable properties following from the spectrum of the Hamiltonian and of the position, momentum, and angular momentum operators. Formulae are obtained that give the angular momentum content of all the representations V(p) of gl(1|3N), associated with the N-particle 3-dimensional WQO. For these representations V(p) we also consider in more detail the spectrum of the position operators and their squares, leading to interesting consequences. In particular, a classical limit of these solutions is obtained, that is in agreement with the correspondence principle. |
2012.12326 | Leonard Susskind | Leonard Susskind | Electric Forces in the Charged SYK Model | 36 pages, 6 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The connection between gravitational force and operator growth, reported in
earlier papers, is generalized to include electromagnetic forces. It is shown
how in the U(1)-invariant SYK system electric forces emerge through the same
mechanisms -- the momentum-size correspondence, and operator growth -- that
give rise to gravitational force. The unit of electric charge implied by the
U(1)-SYK theory is consistent with a Kaluza-Klein radius inverse to the
characteristic energy scale of the SYK theory.
| [
{
"created": "Tue, 22 Dec 2020 19:58:36 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jan 2021 20:38:01 GMT",
"version": "v2"
}
] | 2021-01-05 | [
[
"Susskind",
"Leonard",
""
]
] | The connection between gravitational force and operator growth, reported in earlier papers, is generalized to include electromagnetic forces. It is shown how in the U(1)-invariant SYK system electric forces emerge through the same mechanisms -- the momentum-size correspondence, and operator growth -- that give rise to gravitational force. The unit of electric charge implied by the U(1)-SYK theory is consistent with a Kaluza-Klein radius inverse to the characteristic energy scale of the SYK theory. |
2308.09736 | Sam S. C. Wong | Justin Khoury and Sam S. C. Wong | Directed Percolation Criticality in Eternal Inflation | 41 pages, 11 figures | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | False-vacuum eternal inflation can be described as a random walk on the
network of vacua of the string landscape. In this paper we show that the
problem can be mapped naturally to a problem of directed percolation. The
mapping relies on two general and well-justified approximations for transition
rates: 1.~the downward approximation, which neglects ``upward" transitions, as
these are generally exponentially suppressed; 2. the dominant decay channel
approximation, which capitalizes on the fact that tunneling rates are
exponentially staggered. Lacking detailed knowledge of the string landscape, we
model the network of vacua as random graphs with arbitrary degree distribution,
including Erd\"os-R\'enyi and scale-free graphs. As a complementary approach,
we also model regions of the landscape as regular lattices, specifically Bethe
lattices. We find that the uniform-in-time probabilities proposed in our
previous work favor regions of the landscape poised at the directed percolation
phase transition. This raises the tantalizing prospect of deriving universal
statistical distributions for physical observables, characterized by critical
exponents that are insensitive to the details of the underlying landscape. We
illustrate this with the cosmological constant, and show that the resulting
distribution peaks as a power-law for small positive vacuum energy, with a
critical exponent uniquely determined by the random graph universality class.
| [
{
"created": "Fri, 18 Aug 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-08-22 | [
[
"Khoury",
"Justin",
""
],
[
"Wong",
"Sam S. C.",
""
]
] | False-vacuum eternal inflation can be described as a random walk on the network of vacua of the string landscape. In this paper we show that the problem can be mapped naturally to a problem of directed percolation. The mapping relies on two general and well-justified approximations for transition rates: 1.~the downward approximation, which neglects ``upward" transitions, as these are generally exponentially suppressed; 2. the dominant decay channel approximation, which capitalizes on the fact that tunneling rates are exponentially staggered. Lacking detailed knowledge of the string landscape, we model the network of vacua as random graphs with arbitrary degree distribution, including Erd\"os-R\'enyi and scale-free graphs. As a complementary approach, we also model regions of the landscape as regular lattices, specifically Bethe lattices. We find that the uniform-in-time probabilities proposed in our previous work favor regions of the landscape poised at the directed percolation phase transition. This raises the tantalizing prospect of deriving universal statistical distributions for physical observables, characterized by critical exponents that are insensitive to the details of the underlying landscape. We illustrate this with the cosmological constant, and show that the resulting distribution peaks as a power-law for small positive vacuum energy, with a critical exponent uniquely determined by the random graph universality class. |
2011.03527 | Sadataka Furui | Sadataka Furui | Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional
Fermionic Media | 22 pages | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An overview of hadron spectroscopy obtained from an extension of
superconformal field theory of de Alfaro, Fubini and Furlan, which originates
from the supergauge transformation of Wess and Zumino and influenced on the
string theory are preseted.
The standard model of hadron dynamics is based on gauge theory. In the 4
dimensional ($4D$) QCD Lagrangian, the Faddeev-Popov ghost that appears to
compensate unphysical degrees of freedom in internal fermion propagators can be
regarded as the partner of a fermion. Donaldson formulated a $5D$ gauge theory.
Fubini and Rabinovici formulated superconformal quantum mechanics in de
Sitter space, and Brodsky and de T\'eramond formulated relativistic light front
holographic QCD (LFHQCD) in Kaluza-Klein type $5D$ anti de Sitter (AdS) space,
using Dirac's light cone gauge, and succeeded in obtaining spectroscopy of
baryons (fermions) and corresponding mesons (bosons), except the pion which is
an axial scalar meson that remains massless.
In the LFHQCD, the time parameter $\tau=t\pm z/c$, $(z\in {\bf C})$ appears
by the choice of the light-cone gauge, or the front form of Dirac's
formulation. The theory is an extension of AdS/CFT correspodence of Maldacena
in which incorporation of Einstein's gravity theory in Maxwell's
electromagnetic theory was tried in the framework of the string theory.
Taking mathematical frameworks of treating the supersymmetry by Brodsky,
Witten, Connes and their collaborators as central thema, we summarize other
supersymmetric approaches like string theory in particle physics and
astrophysics. We discuss about 2 dimensional solitons whose dynamics is
represented also by $\tau=t\pm z/c$, ($z\in$ pure quaternion${\bf H}$).
| [
{
"created": "Mon, 12 Oct 2020 07:26:36 GMT",
"version": "v1"
}
] | 2020-11-09 | [
[
"Furui",
"Sadataka",
""
]
] | An overview of hadron spectroscopy obtained from an extension of superconformal field theory of de Alfaro, Fubini and Furlan, which originates from the supergauge transformation of Wess and Zumino and influenced on the string theory are preseted. The standard model of hadron dynamics is based on gauge theory. In the 4 dimensional ($4D$) QCD Lagrangian, the Faddeev-Popov ghost that appears to compensate unphysical degrees of freedom in internal fermion propagators can be regarded as the partner of a fermion. Donaldson formulated a $5D$ gauge theory. Fubini and Rabinovici formulated superconformal quantum mechanics in de Sitter space, and Brodsky and de T\'eramond formulated relativistic light front holographic QCD (LFHQCD) in Kaluza-Klein type $5D$ anti de Sitter (AdS) space, using Dirac's light cone gauge, and succeeded in obtaining spectroscopy of baryons (fermions) and corresponding mesons (bosons), except the pion which is an axial scalar meson that remains massless. In the LFHQCD, the time parameter $\tau=t\pm z/c$, $(z\in {\bf C})$ appears by the choice of the light-cone gauge, or the front form of Dirac's formulation. The theory is an extension of AdS/CFT correspodence of Maldacena in which incorporation of Einstein's gravity theory in Maxwell's electromagnetic theory was tried in the framework of the string theory. Taking mathematical frameworks of treating the supersymmetry by Brodsky, Witten, Connes and their collaborators as central thema, we summarize other supersymmetric approaches like string theory in particle physics and astrophysics. We discuss about 2 dimensional solitons whose dynamics is represented also by $\tau=t\pm z/c$, ($z\in$ pure quaternion${\bf H}$). |
1405.3931 | Supriya Kar | K. Priyabrat Pandey, Abhishek K. Singh, Sunita Singh, Richa Kapoor and
Supriya Kar | Quintessence and effective RN de Sitter brane geometries | 29 pages | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit an effective space-time torsion curvature in a second order
formalism, underlying the non-linear $U(1)$ gauge dynamics, of a two form on a
$D_4$-brane in type IIA superstring theory. The formalism incorporates the
significance of a global NS two form into the theory via its perturbative
coupling to a dynamical two form. In particular, we explore the non-linear
gauge dynamics on a $D_4$-brane in presence of a non-trivial background metric.
The fact that the global modes of a NS two form in an open string theory
sources the background metric on a $D_4$-brane may hint at the existence of an
anti $D_4$-brane in the formalism. An effective de Sitter universe is shown to
emerge on a vacuum created pair of $(D{\bar D})_3$-brane by a local two form at
the past horizon with a Big Bang. We obtain a number of 4D de Sitter quantum
black holes, including a Reissner-Nordstrom vacuum, with and without a
propagating torsion. The quantum black holes are shown to be free from
curvature singularity at $r\rightarrow 0$. In a low energy limit, the
nonperturbative correction sourced by a torison may seen to be insignificant.
The quantum black hole undergoes an expansion in the limit and presumably
identifies with the Einstein vacuum. Interestingly our analysis reveals a
plausible quintessence (axion) on an anti $D_3$-brane which may source the dark
energy in a $D_3$-brane universe. Arguably a brane universe moves away from its
anti-brane due to the conjectured repulsive gravity underlying the
quintessence. It leads to a growth in extra fifth dimension between a brane and
an anti-brane which may provide a clue behind an accelerating universe observed
in cosmology.
| [
{
"created": "Thu, 15 May 2014 18:23:01 GMT",
"version": "v1"
}
] | 2014-05-16 | [
[
"Pandey",
"K. Priyabrat",
""
],
[
"Singh",
"Abhishek K.",
""
],
[
"Singh",
"Sunita",
""
],
[
"Kapoor",
"Richa",
""
],
[
"Kar",
"Supriya",
""
]
] | We revisit an effective space-time torsion curvature in a second order formalism, underlying the non-linear $U(1)$ gauge dynamics, of a two form on a $D_4$-brane in type IIA superstring theory. The formalism incorporates the significance of a global NS two form into the theory via its perturbative coupling to a dynamical two form. In particular, we explore the non-linear gauge dynamics on a $D_4$-brane in presence of a non-trivial background metric. The fact that the global modes of a NS two form in an open string theory sources the background metric on a $D_4$-brane may hint at the existence of an anti $D_4$-brane in the formalism. An effective de Sitter universe is shown to emerge on a vacuum created pair of $(D{\bar D})_3$-brane by a local two form at the past horizon with a Big Bang. We obtain a number of 4D de Sitter quantum black holes, including a Reissner-Nordstrom vacuum, with and without a propagating torsion. The quantum black holes are shown to be free from curvature singularity at $r\rightarrow 0$. In a low energy limit, the nonperturbative correction sourced by a torison may seen to be insignificant. The quantum black hole undergoes an expansion in the limit and presumably identifies with the Einstein vacuum. Interestingly our analysis reveals a plausible quintessence (axion) on an anti $D_3$-brane which may source the dark energy in a $D_3$-brane universe. Arguably a brane universe moves away from its anti-brane due to the conjectured repulsive gravity underlying the quintessence. It leads to a growth in extra fifth dimension between a brane and an anti-brane which may provide a clue behind an accelerating universe observed in cosmology. |
hep-th/9811182 | Lubo Martinovic | L. Martinovic (Institute of Physics, Bratislava) | Large Gauge Transformations and the Light-Front Vacuum Structure | 10 pages, Latex | Phys.Lett. B509 (2001) 355-364 | 10.1016/S0370-2693(01)00507-X | null | hep-th | null | A residual gauge symmetry, exhibited by light-front gauge theories quantized
in a finite volume, is analyzed at the quantum level. Unitary operators, which
implement the symmetry, transform the trivial Fock vacuum into an infinite set
of degenerate coherent-state vacua. A fermionic component of the vacuum emerges
naturally without the need to introduce a Dirac sea. The vacuum degeneracy
along with the derivation of the theta-vacuum is discussed within the massive
Schwinger model. A possible generalization of the approach to more realistic
gauge theories is suggested.
| [
{
"created": "Fri, 20 Nov 1998 00:36:12 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Martinovic",
"L.",
"",
"Institute of Physics, Bratislava"
]
] | A residual gauge symmetry, exhibited by light-front gauge theories quantized in a finite volume, is analyzed at the quantum level. Unitary operators, which implement the symmetry, transform the trivial Fock vacuum into an infinite set of degenerate coherent-state vacua. A fermionic component of the vacuum emerges naturally without the need to introduce a Dirac sea. The vacuum degeneracy along with the derivation of the theta-vacuum is discussed within the massive Schwinger model. A possible generalization of the approach to more realistic gauge theories is suggested. |
hep-th/0610115 | C. P. Martin | C.P. Martin and C. Tamarit (Universidad Complutense de Madrid) | Monopoles, noncommutative gauge theories in the BPS limit and some
simple gauge groups | 30 pages, no figures | JHEP 0701:100,2007 | 10.1088/1126-6708/2007/01/100 | FTI/UCM 80-2006 | hep-th | null | For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at
first order in the noncommutative parameter matrix h\theta^{\mu\nu}, we
construct smooth monopole --and, some two-monopole-- fields that solve the
noncommutative Yang-Mills-Higgs equations in the BPS limit and that are formal
power series in h\theta^{\mu\nu}. We show that there exist noncommutative BPS
(multi-)monopole field configurations that are formal power series in
h\theta^{\mu\nu} if, and only if, two a priori free parameters of the
Seiberg-Witten map take very specific values. These parameters, that are not
associated to field redefinitions nor to gauge transformations, have thus
values that give rise to sharp physical effects.
| [
{
"created": "Tue, 10 Oct 2006 15:19:58 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Martin",
"C. P.",
"",
"Universidad Complutense de Madrid"
],
[
"Tamarit",
"C.",
"",
"Universidad Complutense de Madrid"
]
] | For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix h\theta^{\mu\nu}, we construct smooth monopole --and, some two-monopole-- fields that solve the noncommutative Yang-Mills-Higgs equations in the BPS limit and that are formal power series in h\theta^{\mu\nu}. We show that there exist noncommutative BPS (multi-)monopole field configurations that are formal power series in h\theta^{\mu\nu} if, and only if, two a priori free parameters of the Seiberg-Witten map take very specific values. These parameters, that are not associated to field redefinitions nor to gauge transformations, have thus values that give rise to sharp physical effects. |
0901.0713 | Kazuya Koyama | Kazuya Koyama, Antonio Padilla and Fabio P Silva | Ghosts in asymmetric brane gravity and the decoupled stealth limit | 21 pages | JHEP 0903:134,2009 | 10.1088/1126-6708/2009/03/134 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spectrum of gravitational perturbations around a vacuum de
Sitter brane in a 5D asymmetric braneworld model, with induced curvature on the
brane. This generalises the stealth acceleration model proposed by Charmousis,
Gregory and Padilla (CGP) which realises the Cardassian cosmology in which
power law cosmic acceleration can be driven by ordinary matter. Whenever the
bulk has infinite volume we find that there is always a perturbative ghost
propagating on the de Sitter brane, in contrast to the Minkowski brane case
analysed by CGP. We discuss the implication of this ghost for the stealth
acceleration model, and identify a limiting case where the ghost decouples as
the de Sitter curvature vanishes.
| [
{
"created": "Tue, 6 Jan 2009 21:07:10 GMT",
"version": "v1"
}
] | 2009-12-10 | [
[
"Koyama",
"Kazuya",
""
],
[
"Padilla",
"Antonio",
""
],
[
"Silva",
"Fabio P",
""
]
] | We study the spectrum of gravitational perturbations around a vacuum de Sitter brane in a 5D asymmetric braneworld model, with induced curvature on the brane. This generalises the stealth acceleration model proposed by Charmousis, Gregory and Padilla (CGP) which realises the Cardassian cosmology in which power law cosmic acceleration can be driven by ordinary matter. Whenever the bulk has infinite volume we find that there is always a perturbative ghost propagating on the de Sitter brane, in contrast to the Minkowski brane case analysed by CGP. We discuss the implication of this ghost for the stealth acceleration model, and identify a limiting case where the ghost decouples as the de Sitter curvature vanishes. |
1211.0070 | Markus Rummel | Rhiannon Gwyn, Markus Rummel and Alexander Westphal | Resonant non-Gaussianity with equilateral properties | 34 pages, 5 figures. Version 2: minor clarifications added, typos
fixed | JCAP 1304 (2013) 040 | 10.1088/1475-7516/2013/04/040 | DESY-12-216 | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the effect of superimposing multiple sources of resonant
non-Gaussianity, which arise for instance in models of axion inflation. The
resulting sum of oscillating shape contributions can be used to "Fourier
synthesize" different non-oscillating shapes in the bispectrum. As an example
we reproduce an approximately equilateral shape from the superposition of
${\cal O}(10)$ oscillatory contributions with resonant shape. This implies a
possible degeneracy between the equilateral-type non-Gaussianity typical of
models with non-canonical kinetic terms, such as DBI inflation, and an
equilateral-type shape arising from a superposition of resonant-type
contributions in theories with canonical kinetic terms. The absence of
oscillations in the 2-point function together with the structure of the
resonant $N$-point functions, imply that detection of equilateral
non-Gaussianity at a level greater than the PLANCK sensitivity of
$f_{NL}\sim{\cal O}(5)$ will rule out a resonant origin. We comment on the
questions arising from possible embeddings of this idea in a string theory
setting.
| [
{
"created": "Thu, 1 Nov 2012 01:07:02 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2013 17:31:14 GMT",
"version": "v2"
}
] | 2013-06-18 | [
[
"Gwyn",
"Rhiannon",
""
],
[
"Rummel",
"Markus",
""
],
[
"Westphal",
"Alexander",
""
]
] | We discuss the effect of superimposing multiple sources of resonant non-Gaussianity, which arise for instance in models of axion inflation. The resulting sum of oscillating shape contributions can be used to "Fourier synthesize" different non-oscillating shapes in the bispectrum. As an example we reproduce an approximately equilateral shape from the superposition of ${\cal O}(10)$ oscillatory contributions with resonant shape. This implies a possible degeneracy between the equilateral-type non-Gaussianity typical of models with non-canonical kinetic terms, such as DBI inflation, and an equilateral-type shape arising from a superposition of resonant-type contributions in theories with canonical kinetic terms. The absence of oscillations in the 2-point function together with the structure of the resonant $N$-point functions, imply that detection of equilateral non-Gaussianity at a level greater than the PLANCK sensitivity of $f_{NL}\sim{\cal O}(5)$ will rule out a resonant origin. We comment on the questions arising from possible embeddings of this idea in a string theory setting. |
hep-th/9705232 | Andreas Brandhuber | A. Brandhuber, J. Sonnenschein, S. Theisen, S. Yankielowicz | M Theory And Seiberg-Witten Curves: Orthogonal and Symplectic Groups | 17 pages, Latex2e, 4 eps figures, citations corrected, typos
corrected | Nucl.Phys. B504 (1997) 175-188 | 10.1016/S0550-3213(97)00531-2 | TAUP-2427-97, LMU-TPW-97-15 | hep-th | null | We discuss N=2 supersymmetric Type IIA brane configurations within M theory.
This is a generalization of the work of Witten to all classical groups.
| [
{
"created": "Thu, 29 May 1997 16:15:28 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 1997 16:23:37 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Brandhuber",
"A.",
""
],
[
"Sonnenschein",
"J.",
""
],
[
"Theisen",
"S.",
""
],
[
"Yankielowicz",
"S.",
""
]
] | We discuss N=2 supersymmetric Type IIA brane configurations within M theory. This is a generalization of the work of Witten to all classical groups. |
1709.05355 | David R. Morrison | Ron Donagi and David R. Morrison | Conformal field theories and compact curves in moduli spaces | Update acknowledging recent developments | null | 10.1007/JHEP05(2018)021 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that there are many compact subsets of the moduli space $M_g$ of
Riemann surfaces of genus $g$ that do not intersect any symmetry locus. This
has interesting implications for $\mathcal{N}=2$ supersymmetric conformal field
theories in four dimensions.
| [
{
"created": "Fri, 15 Sep 2017 18:01:00 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Mar 2018 16:41:58 GMT",
"version": "v2"
}
] | 2018-06-13 | [
[
"Donagi",
"Ron",
""
],
[
"Morrison",
"David R.",
""
]
] | We show that there are many compact subsets of the moduli space $M_g$ of Riemann surfaces of genus $g$ that do not intersect any symmetry locus. This has interesting implications for $\mathcal{N}=2$ supersymmetric conformal field theories in four dimensions. |
1705.01950 | Benjamin Withers | Julian Sonner, Benjamin Withers | Universal spatial structure of nonequilibrium steady states | 8 pages, 5 figures. v2: references added | Phys. Rev. Lett. 119, 161603 (2017) | 10.1103/PhysRevLett.119.161603 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a large family of nonequilibrium steady states (NESS)
corresponding to forced flows over obstacles. The spatial structure at large
distances from the obstacle is shown to be universal, and can be quantitatively
characterised in terms of certain collective modes of the strongly coupled many
body system, which we define in this work. In holography, these modes are
spatial analogues of quasinormal modes, which are known to be responsible for
universal aspects of relaxation of time dependent systems. These modes can be
both hydrodynamical or non-hydrodynamical in origin. The decay lengths of the
hydrodynamic modes are set by $\eta/s$, the shear viscosity over entropy
density ratio, suggesting a new route to experimentally measuring this ratio.
We also point out a new class of nonequilibrium phase transitions, across which
the spatial structure of the NESS undergoes a dramatic change, characterised by
the properties of the spectrum of these spatial collective modes.
| [
{
"created": "Thu, 4 May 2017 18:00:05 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 2017 11:50:56 GMT",
"version": "v2"
}
] | 2017-10-25 | [
[
"Sonner",
"Julian",
""
],
[
"Withers",
"Benjamin",
""
]
] | We describe a large family of nonequilibrium steady states (NESS) corresponding to forced flows over obstacles. The spatial structure at large distances from the obstacle is shown to be universal, and can be quantitatively characterised in terms of certain collective modes of the strongly coupled many body system, which we define in this work. In holography, these modes are spatial analogues of quasinormal modes, which are known to be responsible for universal aspects of relaxation of time dependent systems. These modes can be both hydrodynamical or non-hydrodynamical in origin. The decay lengths of the hydrodynamic modes are set by $\eta/s$, the shear viscosity over entropy density ratio, suggesting a new route to experimentally measuring this ratio. We also point out a new class of nonequilibrium phase transitions, across which the spatial structure of the NESS undergoes a dramatic change, characterised by the properties of the spectrum of these spatial collective modes. |
hep-th/9501021 | Victor Gurarie | V. Gurarie | Field Theory and the Phenomenon of Turbulence | 17 pages, plain TEX. | null | null | PUPT-1525 | hep-th | null | We study the phenomenon of turbulence from the point of view of statistical
physics. We discuss what makes the turbulent states different from the
thermodynamic equilibrium and give the turbulent analog of the partition
function. Then, using the soluble theory of turbulence of waves as an example,
we construct the turbulent action and show how one can compute the turbulent
correlation functions perturbatively thus developing the turbulent Feynman
diagrams. And at last, we discuss which part of what we learnt from the
turbulence of waves can be used in other types of turbulence, in particular,
the hydrodynamic turbulence of fluids. This paper is based on the talk
delivered at SMQFT (1993) conference at the University of Southern California.
| [
{
"created": "Fri, 6 Jan 1995 20:33:43 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Gurarie",
"V.",
""
]
] | We study the phenomenon of turbulence from the point of view of statistical physics. We discuss what makes the turbulent states different from the thermodynamic equilibrium and give the turbulent analog of the partition function. Then, using the soluble theory of turbulence of waves as an example, we construct the turbulent action and show how one can compute the turbulent correlation functions perturbatively thus developing the turbulent Feynman diagrams. And at last, we discuss which part of what we learnt from the turbulence of waves can be used in other types of turbulence, in particular, the hydrodynamic turbulence of fluids. This paper is based on the talk delivered at SMQFT (1993) conference at the University of Southern California. |
1309.0221 | Rahul Srivastava | Rahul Srivastava | Spin-Statistics Correlations in Various Noncommutative Field Theories | Ph.D Thesis, 145 pages, 3 figures. arXiv admin note: text overlap
with arXiv:1012.5133 by other authors | null | null | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis we study field theories written on a particular model of
noncommutative spacetime, the Groenewold-Moyal (GM) plane. We start with
briefly reviewing the novel features of field theories on GM plane e.g. the
$\ast$-product, restoration of Poincar\'e-Hopf symmetry and twisted commutation
relations. We then discuss our work on renormalization of field theories on GM
plane. We show that any generic noncommutative theory involving pure matter
fields with polynomial interactions, is a renormalizable theory if the
analogous commutative theory is renormalizable. We further show that all such
noncommutative theories will have same fixed points and $\beta$-functions for
the couplings, as that of the analogous commutative theory. The unique feature
of these field theories is the twisted statistics obeyed by the particles.
Motivated by it, we look at the possibility of twisted statistics by deforming
internal symmetries instead of spacetime symmetries. We construct two different
twisted theories which can be viewed as internal symmetry analogue of the GM
plane and dipole field theories which arise in the low energy limit of certain
string configurations. We further study their various properties like the issue
of causality and the scattering formalism. Having studied the mathematical
properties of noncommutative and twisted internal symmetries we move on to
discuss their potential phenomenological signatures. We first discuss the
noncommutative thermal correlation functions and show that because of the
twisted statistics, all correlation functions except two-point function get
modified. Finally we discuss the modifications in Hanbury-Brown Twiss (HBT)
correlation functions due to twisted statistics on GM plane and the potential
of observing signatures of noncommutativity by doing a HBT correlation
experiment with Ultra High Energy Cosmic Rays (UHECRs).
| [
{
"created": "Sun, 1 Sep 2013 14:02:56 GMT",
"version": "v1"
}
] | 2013-09-03 | [
[
"Srivastava",
"Rahul",
""
]
] | In this thesis we study field theories written on a particular model of noncommutative spacetime, the Groenewold-Moyal (GM) plane. We start with briefly reviewing the novel features of field theories on GM plane e.g. the $\ast$-product, restoration of Poincar\'e-Hopf symmetry and twisted commutation relations. We then discuss our work on renormalization of field theories on GM plane. We show that any generic noncommutative theory involving pure matter fields with polynomial interactions, is a renormalizable theory if the analogous commutative theory is renormalizable. We further show that all such noncommutative theories will have same fixed points and $\beta$-functions for the couplings, as that of the analogous commutative theory. The unique feature of these field theories is the twisted statistics obeyed by the particles. Motivated by it, we look at the possibility of twisted statistics by deforming internal symmetries instead of spacetime symmetries. We construct two different twisted theories which can be viewed as internal symmetry analogue of the GM plane and dipole field theories which arise in the low energy limit of certain string configurations. We further study their various properties like the issue of causality and the scattering formalism. Having studied the mathematical properties of noncommutative and twisted internal symmetries we move on to discuss their potential phenomenological signatures. We first discuss the noncommutative thermal correlation functions and show that because of the twisted statistics, all correlation functions except two-point function get modified. Finally we discuss the modifications in Hanbury-Brown Twiss (HBT) correlation functions due to twisted statistics on GM plane and the potential of observing signatures of noncommutativity by doing a HBT correlation experiment with Ultra High Energy Cosmic Rays (UHECRs). |
0905.2280 | Sergei Lukyanov L | V. A. Fateev, S. L. Lukyanov, A. B. Zamolodchikov | On mass spectrum in 't Hooft's 2D model of mesons | 26 pages, 4 figures; v2: refs added, typos corrected | null | 10.1088/1751-8113/42/30/304012 | RU-NHETC-2009-01 | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 't Hooft's integral equation determining the meson masses M_n in
multicolor QCD_2. In this note we concentrate on developing an analytic method,
and restrict our attention to the special case of quark masses
m_1=m_2=g/\sqrt{\pi}. Among our results is systematic large-n expansion, and
exact sum rules for M_n. Although we explicitly discuss only the special case,
the method applies to the general case of the quark masses, and we announce
some preliminary results for m_1=m_2.
| [
{
"created": "Thu, 14 May 2009 08:36:45 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jun 2009 10:30:57 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Fateev",
"V. A.",
""
],
[
"Lukyanov",
"S. L.",
""
],
[
"Zamolodchikov",
"A. B.",
""
]
] | We study 't Hooft's integral equation determining the meson masses M_n in multicolor QCD_2. In this note we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses m_1=m_2=g/\sqrt{\pi}. Among our results is systematic large-n expansion, and exact sum rules for M_n. Although we explicitly discuss only the special case, the method applies to the general case of the quark masses, and we announce some preliminary results for m_1=m_2. |
2010.16166 | Yongjun Ahn | Yongjun Ahn, Viktor Jahnke, Hyun-Sik Jeong, Keun-Young Kim, Kyung-Sun
Lee, and Mitsuhiro Nishida | Classifying pole-skipping points | 32 pages, 24 figures | J. High Energ. Phys. 2021, 175 (2021) | 10.1007/JHEP03(2021)175 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We clarify general mathematical and physical properties of pole-skipping
points. For this purpose, we analyse scalar and vector fields in hyperbolic
space. This setup is chosen because it is simple enough to allow us to obtain
analytical expressions for the Green's function and check everything
explicitly, while it contains all the essential features of pole-skipping
points. We classify pole-skipping points in three types (type-I, II, III).
Type-I and Type-II are distinguished by the (limiting) behavior of the Green's
function near the pole-skipping points. Type-III can arise at non-integer
$i\omega$ values, which is due to a specific UV condition, contrary to the
types I and II, which are related to a non-unique near-horizon boundary
condition. We also clarify the relation between the pole-skipping structure of
the Green's function and the near-horizon analysis. We point out that there are
subtle cases where the near-horizon analysis alone may not be able to capture
the existence and properties of the pole-skipping points.
| [
{
"created": "Fri, 30 Oct 2020 10:14:32 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 2020 15:55:42 GMT",
"version": "v2"
}
] | 2023-08-31 | [
[
"Ahn",
"Yongjun",
""
],
[
"Jahnke",
"Viktor",
""
],
[
"Jeong",
"Hyun-Sik",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Lee",
"Kyung-Sun",
""
],
[
"Nishida",
"Mitsuhiro",
""
]
] | We clarify general mathematical and physical properties of pole-skipping points. For this purpose, we analyse scalar and vector fields in hyperbolic space. This setup is chosen because it is simple enough to allow us to obtain analytical expressions for the Green's function and check everything explicitly, while it contains all the essential features of pole-skipping points. We classify pole-skipping points in three types (type-I, II, III). Type-I and Type-II are distinguished by the (limiting) behavior of the Green's function near the pole-skipping points. Type-III can arise at non-integer $i\omega$ values, which is due to a specific UV condition, contrary to the types I and II, which are related to a non-unique near-horizon boundary condition. We also clarify the relation between the pole-skipping structure of the Green's function and the near-horizon analysis. We point out that there are subtle cases where the near-horizon analysis alone may not be able to capture the existence and properties of the pole-skipping points. |
hep-th/0105095 | Jin-Ho Cho | Jin-Ho Cho, Phillial Oh | Super D-Helix | 13 pages using REVTeX macro, V.3: added references, corrected typos
in the Killing spinor relations, and added discussions on D1/D5 | Phys.Rev. D64 (2001) 106010 | 10.1103/PhysRevD.64.106010 | null | hep-th | null | We study `Myers effect' for a bunch of $D1$-branes with $IIB$ superstrings
moving in one direction along the branes. We show that the `blown-up'
configuration is the helical $D1$-brane, which is self-supported from collapse
by the axial momentum flow. The tilting angle of the helix is determined by the
number of $D1$-branes. The radius of the helix is stabilized to a certain value
depending on the number of $D1$-branes and the momentum carried by $IIB$
superstrings. This is actually T-dual version of the supertube recently found
as the `blown-up' configuration of a bunch of $IIA$ superstrings carrying
$D0$-brane charge. It is found that the helical $D1$ configuration preserves
one quarter of the supersymmetry of $IIB$ vacuum.
| [
{
"created": "Thu, 10 May 2001 20:22:23 GMT",
"version": "v1"
},
{
"created": "Mon, 28 May 2001 03:16:49 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Jul 2001 09:01:34 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Cho",
"Jin-Ho",
""
],
[
"Oh",
"Phillial",
""
]
] | We study `Myers effect' for a bunch of $D1$-branes with $IIB$ superstrings moving in one direction along the branes. We show that the `blown-up' configuration is the helical $D1$-brane, which is self-supported from collapse by the axial momentum flow. The tilting angle of the helix is determined by the number of $D1$-branes. The radius of the helix is stabilized to a certain value depending on the number of $D1$-branes and the momentum carried by $IIB$ superstrings. This is actually T-dual version of the supertube recently found as the `blown-up' configuration of a bunch of $IIA$ superstrings carrying $D0$-brane charge. It is found that the helical $D1$ configuration preserves one quarter of the supersymmetry of $IIB$ vacuum. |
0904.1343 | Kluson Josef | J. Kluson | Branes at Quantum Criticality | 17 pages, references added, typos fixed,v2. minor changes | JHEP 0907:079,2009 | 10.1088/1126-6708/2009/07/079 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we propose new non-relativistic p+1 dimensional theory. This
theory is defined in such a way that the potential term obeys the principle of
detailed balance where the generating action corresponds to p-brane action.
This condition ensures that the norm of the vacuum wave functional of p+1
dimensional theory is equal to the partition function of p-brane theory.
| [
{
"created": "Wed, 8 Apr 2009 14:04:57 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2009 07:32:48 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Apr 2009 12:32:37 GMT",
"version": "v3"
},
{
"created": "Wed, 4 Nov 2009 11:11:53 GMT",
"version": "v4"
}
] | 2009-11-04 | [
[
"Kluson",
"J.",
""
]
] | In this paper we propose new non-relativistic p+1 dimensional theory. This theory is defined in such a way that the potential term obeys the principle of detailed balance where the generating action corresponds to p-brane action. This condition ensures that the norm of the vacuum wave functional of p+1 dimensional theory is equal to the partition function of p-brane theory. |
1406.2290 | Renann Jusinskas | Nathan Berkovits and Renann Lipinski Jusinskas | Light-Cone Analysis of the Pure Spinor Formalism for the Superstring | 16 pages. Added reference to the paper of Mukhopadhyay | JHEP08(2014)102 | 10.1007/JHEP08(2014)102 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Physical states of the superstring can be described in light-cone gauge by
acting with transverse bosonic $\alpha_{-n}^{j}$ and fermionic
$\bar{q}_{-n}^{\dot{a}}$ operators on an $SO\left(8\right)$-covariant
superfield where $j,\dot{a}=1$ to $8$. In the pure spinor formalism, these
states are described in an $SO\left(9,1\right)$-covariant manner by the
cohomology of the BRST charge $Q=\frac{1}{2\pi
i}\oint\lambda^{\alpha}d_{\alpha}$. In this paper, a similarity transformation
is found which simplifies the form of $Q$ and maps the light-cone description
of the superstring vertices into DDF-like operators in the cohomology of $Q$.
| [
{
"created": "Mon, 9 Jun 2014 19:26:53 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2014 19:28:13 GMT",
"version": "v2"
}
] | 2016-05-27 | [
[
"Berkovits",
"Nathan",
""
],
[
"Jusinskas",
"Renann Lipinski",
""
]
] | Physical states of the superstring can be described in light-cone gauge by acting with transverse bosonic $\alpha_{-n}^{j}$ and fermionic $\bar{q}_{-n}^{\dot{a}}$ operators on an $SO\left(8\right)$-covariant superfield where $j,\dot{a}=1$ to $8$. In the pure spinor formalism, these states are described in an $SO\left(9,1\right)$-covariant manner by the cohomology of the BRST charge $Q=\frac{1}{2\pi i}\oint\lambda^{\alpha}d_{\alpha}$. In this paper, a similarity transformation is found which simplifies the form of $Q$ and maps the light-cone description of the superstring vertices into DDF-like operators in the cohomology of $Q$. |
hep-th/9503156 | null | L.D.Soloviev | Straight-line string with curvature | 7 pages, latex, no figures | null | null | IHEP 95-49 | hep-th | null | Classical and quantum solutions for the relativistic straight-line string
with arbitrary dependence on the world surface curvature are obtained. They
differ from the case of the usual Nambu-Goto interaction by the behaviour of
the Regge trajectory which in general can be nonlinear. Regularization of the
action is considered and comparison with relativistic point with curvature is
made.
| [
{
"created": "Thu, 23 Mar 1995 17:45:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Soloviev",
"L. D.",
""
]
] | Classical and quantum solutions for the relativistic straight-line string with arbitrary dependence on the world surface curvature are obtained. They differ from the case of the usual Nambu-Goto interaction by the behaviour of the Regge trajectory which in general can be nonlinear. Regularization of the action is considered and comparison with relativistic point with curvature is made. |
1404.2079 | Krishnanand Mallayya | Krishnanand Mallayya, Rakesh Tibrewala, S. Shankaranarayanan and T.
Padmanabhan | Zero modes and divergence of entanglement entropy | 7 pages, 1 figure | Phys. Rev. D 90, 044058 (2014) | 10.1103/PhysRevD.90.044058 | null | hep-th cond-mat.stat-mech gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the cause of the divergence of the entanglement entropy for
the free scalar fields in $(1+1)$ and $(D + 1)$ dimensional space-times. In a
canonically equivalent set of variables, we show explicitly that the divergence
in the entanglement entropy of the continuum field in $(1 + 1)-$ dimensions is
due to the accumulation of large number of near-zero frequency modes as opposed
to the commonly held view of divergence having UV origin. The feature revealing
the divergence in zero modes is related to the observation that the entropy is
invariant under a hidden scaling transformation even when the Hamiltonian is
not. We discuss the role of dispersion relations and the dimensionality of the
space-time on the behavior of entanglement entropy.
| [
{
"created": "Tue, 8 Apr 2014 10:27:48 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Sep 2014 16:26:26 GMT",
"version": "v2"
}
] | 2014-09-02 | [
[
"Mallayya",
"Krishnanand",
""
],
[
"Tibrewala",
"Rakesh",
""
],
[
"Shankaranarayanan",
"S.",
""
],
[
"Padmanabhan",
"T.",
""
]
] | We investigate the cause of the divergence of the entanglement entropy for the free scalar fields in $(1+1)$ and $(D + 1)$ dimensional space-times. In a canonically equivalent set of variables, we show explicitly that the divergence in the entanglement entropy of the continuum field in $(1 + 1)-$ dimensions is due to the accumulation of large number of near-zero frequency modes as opposed to the commonly held view of divergence having UV origin. The feature revealing the divergence in zero modes is related to the observation that the entropy is invariant under a hidden scaling transformation even when the Hamiltonian is not. We discuss the role of dispersion relations and the dimensionality of the space-time on the behavior of entanglement entropy. |
hep-th/0011220 | Daniel S. Freed | Daniel S. Freed | Dirac Charge Quantization and Generalized Differential Cohomology | 62 pages; small revisions for publication | null | null | null | hep-th math.DG | null | The main new result here is the cancellation of global anomalies in the Type
I superstring, with and without D-branes. Our argument here depends on a
precise interpretation of the 2-form abelian gauge field using KO-theory; then
the anomaly cancellation follows from a geometric form of the full
Atiyah-Singer index theorem for families of Dirac operators. This is a refined
version of the Green-Schwarz mechanism. It seems that a geometric
interpretation of this mechanism-the cancellation of local and global fermion
anomalies against local and global anomalies in the electric coupling of an
abelian gauge field-always proceeds in a similar manner. For example, a
previous paper with M. Hopkins (hep-th/0002027) explains the cancellation of
anomalies in Type II with D-branes in these terms. The focal point of this
paper is a general discussion about abelian gauge fields and Dirac charge
quantization. Namely, we argue that quantization of charge is implemented in
the functional integral by interpreting abelian gauge fields as cochains in a
generalized differential cohomology theory. Our exposition includes elementary
examples as well as examples from superstring theory. The mathematical
underpinnings of differential cohomology are currently under development; we
only give a sketch here. The anomaly cancellation in Type I depends on
properties of a certain quadratic form in KO-theory, which we analyze in an
appendix written jointly with M. Hopkins. In particular, the usual equation
``Tr R^2 = Tr F^2'' is refined to an equation in the KO-theory of spacetime.
| [
{
"created": "Fri, 24 Nov 2000 12:18:40 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2001 16:25:02 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Freed",
"Daniel S.",
""
]
] | The main new result here is the cancellation of global anomalies in the Type I superstring, with and without D-branes. Our argument here depends on a precise interpretation of the 2-form abelian gauge field using KO-theory; then the anomaly cancellation follows from a geometric form of the full Atiyah-Singer index theorem for families of Dirac operators. This is a refined version of the Green-Schwarz mechanism. It seems that a geometric interpretation of this mechanism-the cancellation of local and global fermion anomalies against local and global anomalies in the electric coupling of an abelian gauge field-always proceeds in a similar manner. For example, a previous paper with M. Hopkins (hep-th/0002027) explains the cancellation of anomalies in Type II with D-branes in these terms. The focal point of this paper is a general discussion about abelian gauge fields and Dirac charge quantization. Namely, we argue that quantization of charge is implemented in the functional integral by interpreting abelian gauge fields as cochains in a generalized differential cohomology theory. Our exposition includes elementary examples as well as examples from superstring theory. The mathematical underpinnings of differential cohomology are currently under development; we only give a sketch here. The anomaly cancellation in Type I depends on properties of a certain quadratic form in KO-theory, which we analyze in an appendix written jointly with M. Hopkins. In particular, the usual equation ``Tr R^2 = Tr F^2'' is refined to an equation in the KO-theory of spacetime. |
hep-th/0310290 | Dipankar Chakrabarti | Dipankar Chakrabarti, A. Harindranath, Lubomir Martinovic, Grigorii B.
Pivovarov and James P. Vary | Ab initio results for the broken phase of scalar light front field
theory | to be published in Physics Letters B | Phys.Lett. B617 (2005) 92-98 | 10.1016/j.physletb.2005.05.012 | null | hep-th | null | We present nonperturbative light-front energy eigenstates in the broken phase
of a two dimensional $\frac{\lambda}{4!}\phi^4$ quantum field theory using
Discrete Light Cone Quantization and extrapolate the results to the continuum
limit. We establish degeneracy in the even and odd particle sectors and extract
the masses of the lowest two states and the vacuum energy density for
$\lambda=0.5$ and 1.0. We present two novel results: the Fourier transform of
the form factor of the lowest excitation as well as the number density of
elementary constituents of that state. A coherent state with kink - antikink
structure is revealed.
| [
{
"created": "Fri, 31 Oct 2003 09:13:20 GMT",
"version": "v1"
},
{
"created": "Sat, 7 May 2005 21:25:24 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Chakrabarti",
"Dipankar",
""
],
[
"Harindranath",
"A.",
""
],
[
"Martinovic",
"Lubomir",
""
],
[
"Pivovarov",
"Grigorii B.",
""
],
[
"Vary",
"James P.",
""
]
] | We present nonperturbative light-front energy eigenstates in the broken phase of a two dimensional $\frac{\lambda}{4!}\phi^4$ quantum field theory using Discrete Light Cone Quantization and extrapolate the results to the continuum limit. We establish degeneracy in the even and odd particle sectors and extract the masses of the lowest two states and the vacuum energy density for $\lambda=0.5$ and 1.0. We present two novel results: the Fourier transform of the form factor of the lowest excitation as well as the number density of elementary constituents of that state. A coherent state with kink - antikink structure is revealed. |
2105.01100 | Steffen Gielen | Steffen Gielen | Frozen formalism and canonical quantization in group field theory | 17 pages, revtex two-column style; v2: extended discussion, minor
typographical changes, updated references; version accepted in Physical
Review D; v3: corrected a few typos, changed title to match journal
publication title | Phys. Rev. D 104 (2021), 106011 | 10.1103/PhysRevD.104.106011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Canonical quantization of gravitational systems is obstructed by the problem
of time. Due to diffeomorphism symmetry the Hamiltonian vanishes: dynamics with
respect to a background time parameter appears "frozen." Two strategies towards
the quantization of such systems are the identification of a clock degree of
freedom before quantization (deparametrization), and quantization on a
kinematical Hilbert space which is subject to constraints (Dirac quantization).
The usual canonical quantization in quantum field theory is analogous to
deparametrization. Here we introduce a frozen formalism and Dirac quantization
for a complex Klein-Gordon scalar field, and show that the resulting theory is
equivalent to usual canonical quantization. We then apply the formalism to the
group field theory formalism for quantum gravity, for which both
deparametrization and a "timeless" quantization have been proposed in past
work. We show how a frozen formalism for group field theory links between these
two existing approaches, and illustrate in particular the construction of
physical observables. We derive effective cosmological dynamics for group field
theory in the new formalism and compare these to previous work. The frozen
formalism could be extended to other approaches to quantum gravity that do not
use a preferred time parameter.
| [
{
"created": "Mon, 3 May 2021 18:12:26 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Oct 2021 13:37:38 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Nov 2021 17:21:52 GMT",
"version": "v3"
}
] | 2021-11-18 | [
[
"Gielen",
"Steffen",
""
]
] | Canonical quantization of gravitational systems is obstructed by the problem of time. Due to diffeomorphism symmetry the Hamiltonian vanishes: dynamics with respect to a background time parameter appears "frozen." Two strategies towards the quantization of such systems are the identification of a clock degree of freedom before quantization (deparametrization), and quantization on a kinematical Hilbert space which is subject to constraints (Dirac quantization). The usual canonical quantization in quantum field theory is analogous to deparametrization. Here we introduce a frozen formalism and Dirac quantization for a complex Klein-Gordon scalar field, and show that the resulting theory is equivalent to usual canonical quantization. We then apply the formalism to the group field theory formalism for quantum gravity, for which both deparametrization and a "timeless" quantization have been proposed in past work. We show how a frozen formalism for group field theory links between these two existing approaches, and illustrate in particular the construction of physical observables. We derive effective cosmological dynamics for group field theory in the new formalism and compare these to previous work. The frozen formalism could be extended to other approaches to quantum gravity that do not use a preferred time parameter. |
1103.3733 | Alex Buchel | Alex Buchel | On Eling-Oz formula for the holographic bulk viscosity | 15 pages, 4 figures; v2: references updated | null | 10.1007/JHEP05(2011)065 | UWO-TH-11/4 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently Eling and Oz [1] proposed a simple formula for the bulk viscosity of
holographic plasma. They argued that the formula is valid in the high
temperature (near-conformal) regime, but is expected to break down at low
temperatures. We point out that the formula is in perfect agreement with the
previous computations of the bulk viscosity of the cascading plasma [2,3], as
well as with the previous computations of the bulk viscosity of N=2^* plasma
[4,5]. In the latter case it correctly reproduces the critical behaviour of the
bulk viscosity in the vicinity of the critical point with the vanishing speed
of sound.
| [
{
"created": "Sat, 19 Mar 2011 00:00:46 GMT",
"version": "v1"
},
{
"created": "Mon, 9 May 2011 14:08:35 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Buchel",
"Alex",
""
]
] | Recently Eling and Oz [1] proposed a simple formula for the bulk viscosity of holographic plasma. They argued that the formula is valid in the high temperature (near-conformal) regime, but is expected to break down at low temperatures. We point out that the formula is in perfect agreement with the previous computations of the bulk viscosity of the cascading plasma [2,3], as well as with the previous computations of the bulk viscosity of N=2^* plasma [4,5]. In the latter case it correctly reproduces the critical behaviour of the bulk viscosity in the vicinity of the critical point with the vanishing speed of sound. |
2308.05172 | Victor Pozsgay | Victor Pozsgay | Consistency of Scalar and Vector Effective Field Theories | PhD thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the absence of a theory of everything, modern physicists need to rely on
other predictive tools and turned to Effective Field Theories (EFTs) in a
number of fields, including but not limited to statistical mechanics, condensed
matter, particle physics, cosmology and gravity. The coefficients of an EFT can
be constrained with high precision by experiments, which can involve
high-energy particle colliders for instance but are generally left free from
the theoretical point of view. The focus of this thesis is to use various
consistency criteria to get theoretical constraints on the low-energy
coefficients of EFTs. In particular, we construct a new model of massive spin-1
field by requiring that the theory is free of any ghostly degree of freedom. We
then study its cosmological perturbations and ask that all propagating modes
are stable and subluminal, reducing the space of viable cosmological solutions.
Finally, we implement a method to get 'causality bounds', which are obtained by
requiring infrared causality. This is imposed by forbidding any resolvable time
advance in the EFT. We derive such 'causality bounds' for shift-symmetric and
Galileon scalar EFTs, before turning to gauge-symmetric vector fields. We prove
that our causality bounds can be competitive with positivity bounds and can
even be used in scenarios that are out of reach of the positivity approach. The
result of this thesis, by exploring several consistency criteria, is to provide
compact causality bounds for low-energy EFT coefficients, in addition to
constraints coming from the absence of ghosts, stability and cosmological
viability.
| [
{
"created": "Wed, 9 Aug 2023 18:16:08 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Aug 2023 14:55:06 GMT",
"version": "v2"
}
] | 2023-08-17 | [
[
"Pozsgay",
"Victor",
""
]
] | In the absence of a theory of everything, modern physicists need to rely on other predictive tools and turned to Effective Field Theories (EFTs) in a number of fields, including but not limited to statistical mechanics, condensed matter, particle physics, cosmology and gravity. The coefficients of an EFT can be constrained with high precision by experiments, which can involve high-energy particle colliders for instance but are generally left free from the theoretical point of view. The focus of this thesis is to use various consistency criteria to get theoretical constraints on the low-energy coefficients of EFTs. In particular, we construct a new model of massive spin-1 field by requiring that the theory is free of any ghostly degree of freedom. We then study its cosmological perturbations and ask that all propagating modes are stable and subluminal, reducing the space of viable cosmological solutions. Finally, we implement a method to get 'causality bounds', which are obtained by requiring infrared causality. This is imposed by forbidding any resolvable time advance in the EFT. We derive such 'causality bounds' for shift-symmetric and Galileon scalar EFTs, before turning to gauge-symmetric vector fields. We prove that our causality bounds can be competitive with positivity bounds and can even be used in scenarios that are out of reach of the positivity approach. The result of this thesis, by exploring several consistency criteria, is to provide compact causality bounds for low-energy EFT coefficients, in addition to constraints coming from the absence of ghosts, stability and cosmological viability. |
hep-th/9707213 | Joachim Maeder | S. Balaska, J. Maeder, W. Ruehl | On the critical behaviour of hermitean f-matrix models in the double
scaling limit with f >= 3 | 24 pages, LaTex, correction of some notation errors and addition of
four references | Int.J.Mod.Phys. A14 (1999) 97-118 | 10.1142/S0217751X9900004X | KL-TH 97/6 | hep-th | null | An algorithm for the isolation of any singularity of f-matrix models in the
double scaling limit is presented. In particular it is proved by construction
that only those universality classes exist that are known from 2-matrix models.
| [
{
"created": "Fri, 25 Jul 1997 09:21:06 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 1997 10:34:18 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Balaska",
"S.",
""
],
[
"Maeder",
"J.",
""
],
[
"Ruehl",
"W.",
""
]
] | An algorithm for the isolation of any singularity of f-matrix models in the double scaling limit is presented. In particular it is proved by construction that only those universality classes exist that are known from 2-matrix models. |
1609.04461 | Amaury Leonard | Marc Henneaux, Sergio H\"ortner, Amaury Leonard | Twisted self-duality for higher spin gauge fields and prepotentials | Minor misprint corrected. Simplification of Hamiltonian added | Phys. Rev. D 94, 105027 (2016) | 10.1103/PhysRevD.94.105027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the equations of motion for (free) integer higher spin gauge
fields can be formulated as twisted self-duality conditions on the higher spin
curvatures of the spin-$s$ field and its dual. We focus on the case of four
spacetime dimensions, but formulate our results in a manner applicable to
higher spacetime dimensions. The twisted self-duality conditions are redundant
and we exhibit a non-redundant subset of conditions, which have the remarkable
property to involve only first-order derivatives with respect to time. This
non-redundant subset equates the electric field of the spin-$s$ field (which we
define) to the magnetic field of its dual (which we also define), and vice
versa. The non-redundant subset of twisted self-duality conditions involve the
purely spatial components of the spin-$s$ field and its dual, and also the
components of the fields with one zero index. One can get rid of these gauge
components by taking the curl of the equations, which does not change their
physical content. In this form, the twisted self-duality conditions can be
derived from a variational principle that involves prepotentials, which are the
higher spin generalizations of the prepotentials previously found in the spins
2 and 3 cases. The prepotentials have again the intriguing feature of
possessing both higher spin diffeomorphism invariance and higher spin conformal
geometry. The tools introduced in an earlier paper for handling higher spin
conformal geometry turn out to be crucial for streamlining the analysis. In
four spacetime dimensions where the electric and magnetic fields are tensor
fields of the same type, the twisted self-duality conditions enjoy an $SO(2)$
electric-magnetic invariance. We explicitly show that this symmetry is an
"off-shell symmetry" (i.e., a symmetry of the action and not just of the
equations of motion). Remarks on the extension to higher dimensions are given.
| [
{
"created": "Wed, 14 Sep 2016 22:20:20 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Oct 2016 11:13:07 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Feb 2018 10:56:40 GMT",
"version": "v3"
}
] | 2018-02-02 | [
[
"Henneaux",
"Marc",
""
],
[
"Hörtner",
"Sergio",
""
],
[
"Leonard",
"Amaury",
""
]
] | We show that the equations of motion for (free) integer higher spin gauge fields can be formulated as twisted self-duality conditions on the higher spin curvatures of the spin-$s$ field and its dual. We focus on the case of four spacetime dimensions, but formulate our results in a manner applicable to higher spacetime dimensions. The twisted self-duality conditions are redundant and we exhibit a non-redundant subset of conditions, which have the remarkable property to involve only first-order derivatives with respect to time. This non-redundant subset equates the electric field of the spin-$s$ field (which we define) to the magnetic field of its dual (which we also define), and vice versa. The non-redundant subset of twisted self-duality conditions involve the purely spatial components of the spin-$s$ field and its dual, and also the components of the fields with one zero index. One can get rid of these gauge components by taking the curl of the equations, which does not change their physical content. In this form, the twisted self-duality conditions can be derived from a variational principle that involves prepotentials, which are the higher spin generalizations of the prepotentials previously found in the spins 2 and 3 cases. The prepotentials have again the intriguing feature of possessing both higher spin diffeomorphism invariance and higher spin conformal geometry. The tools introduced in an earlier paper for handling higher spin conformal geometry turn out to be crucial for streamlining the analysis. In four spacetime dimensions where the electric and magnetic fields are tensor fields of the same type, the twisted self-duality conditions enjoy an $SO(2)$ electric-magnetic invariance. We explicitly show that this symmetry is an "off-shell symmetry" (i.e., a symmetry of the action and not just of the equations of motion). Remarks on the extension to higher dimensions are given. |
hep-th/0504027 | Dmitri Fursaev | V.P. Frolov and D.V. Fursaev | Gravitational field of a spinning radiation beam-pulse in higher
dimensions | 17 pages, 6 figures, published version | Phys.Rev. D71 (2005) 104034 | 10.1103/PhysRevD.71.104034 | Alberta-Thy-02-05 | hep-th gr-qc | null | We study the gravitational field of a spinning radiation beam-pulse in a
higher dimensional spacetime. We derive first the stress-energy tensor for such
a beam in a flat spacetime and find the gravitational field generated by it in
the linear approximation. We demonstrate that this gravitational field can also
be obtained by boosting the Lense-Thirring metric in the limit when the
velocity of the boosted source is close to the velocity of light. We then find
an exact solution of the Einstein equations describing the gravitational field
of a polarized radiation beam-pulse in a space-time with arbitrary number of
dimensions. In a $D-$dimensional spacetime this solution contains $[D/2]$
arbitrary functions of one variable (retarded time $u$), where $[d]$ is the
integer part of $d$. For the special case of a 4-dimensional spacetime we study
effects produced by such a relativistic spinning beam on the motion of test
particles and light.
| [
{
"created": "Mon, 4 Apr 2005 14:42:33 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Apr 2005 07:13:29 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Apr 2005 11:38:35 GMT",
"version": "v3"
},
{
"created": "Fri, 3 Jun 2005 08:28:08 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Frolov",
"V. P.",
""
],
[
"Fursaev",
"D. V.",
""
]
] | We study the gravitational field of a spinning radiation beam-pulse in a higher dimensional spacetime. We derive first the stress-energy tensor for such a beam in a flat spacetime and find the gravitational field generated by it in the linear approximation. We demonstrate that this gravitational field can also be obtained by boosting the Lense-Thirring metric in the limit when the velocity of the boosted source is close to the velocity of light. We then find an exact solution of the Einstein equations describing the gravitational field of a polarized radiation beam-pulse in a space-time with arbitrary number of dimensions. In a $D-$dimensional spacetime this solution contains $[D/2]$ arbitrary functions of one variable (retarded time $u$), where $[d]$ is the integer part of $d$. For the special case of a 4-dimensional spacetime we study effects produced by such a relativistic spinning beam on the motion of test particles and light. |
1612.00453 | Lasha Berezhiani | Lasha Berezhiani, Justin Khoury, Junpu Wang | A Universe Without Dark Energy: Cosmic Acceleration from Dark
Matter-Baryon Interactions | 34 pages | Phys. Rev. D 95, 123530 (2017) | 10.1103/PhysRevD.95.123530 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmic acceleration is widely believed to require either a source of negative
pressure (i.e., dark energy), or a modification of gravity, which necessarily
implies new degrees of freedom beyond those of Einstein gravity. In this paper
we present a third possibility, using only dark matter and ordinary matter. The
mechanism relies on the coupling between dark matter and ordinary matter
through an effective metric. Dark matter couples to an Einstein-frame metric,
and experiences a matter-dominated, decelerating cosmology up to the present
time. Ordinary matter couples to an effective metric that depends also on the
DM density, in such a way that it experiences late-time acceleration. Linear
density perturbations are stable and propagate with arbitrarily small sound
speed, at least in the case of `pressure' coupling. Assuming a simple
parametrization of the effective metric, we show that our model can
successfully match a set of basic cosmological observables, including
luminosity distance, BAO measurements, angular-diameter distance to last
scattering {\it etc.} For the growth history of density perturbations, we find
an intriguing connection between the growth factor and the Hubble constant. To
get a growth history similar to the $\Lambda$CDM prediction, our model predicts
a higher $H_0$, closer to the value preferred by direct estimates. On the flip
side, we tend to overpredict the growth of structures whenever $H_0$ is
comparable to the Planck preferred value. The model also tends to predict
larger redshift-space distortions at low redshift than $\Lambda$CDM.
| [
{
"created": "Thu, 1 Dec 2016 21:00:04 GMT",
"version": "v1"
}
] | 2017-06-28 | [
[
"Berezhiani",
"Lasha",
""
],
[
"Khoury",
"Justin",
""
],
[
"Wang",
"Junpu",
""
]
] | Cosmic acceleration is widely believed to require either a source of negative pressure (i.e., dark energy), or a modification of gravity, which necessarily implies new degrees of freedom beyond those of Einstein gravity. In this paper we present a third possibility, using only dark matter and ordinary matter. The mechanism relies on the coupling between dark matter and ordinary matter through an effective metric. Dark matter couples to an Einstein-frame metric, and experiences a matter-dominated, decelerating cosmology up to the present time. Ordinary matter couples to an effective metric that depends also on the DM density, in such a way that it experiences late-time acceleration. Linear density perturbations are stable and propagate with arbitrarily small sound speed, at least in the case of `pressure' coupling. Assuming a simple parametrization of the effective metric, we show that our model can successfully match a set of basic cosmological observables, including luminosity distance, BAO measurements, angular-diameter distance to last scattering {\it etc.} For the growth history of density perturbations, we find an intriguing connection between the growth factor and the Hubble constant. To get a growth history similar to the $\Lambda$CDM prediction, our model predicts a higher $H_0$, closer to the value preferred by direct estimates. On the flip side, we tend to overpredict the growth of structures whenever $H_0$ is comparable to the Planck preferred value. The model also tends to predict larger redshift-space distortions at low redshift than $\Lambda$CDM. |
hep-th/0502021 | John McGreevy | A. Adams, X. Liu, J. McGreevy, A. Saltman, E. Silverstein | Things Fall Apart: Topology Change from Winding Tachyons | 23 + 18 pages, 12 eps figures; v2: added refs | JHEP 0510:033,2005 | 10.1088/1126-6708/2005/10/033 | SU-ITP-05/06, SLAC-PUB-11011, HUTP-05/A0006 | hep-th | null | We argue that closed string tachyons drive two spacetime topology changing
transitions -- loss of genus in a Riemann surface and separation of a Riemann
surface into two components. The tachyons of interest are localized versions of
Scherk-Schwarz winding string tachyons arising on Riemann surfaces in regions
of moduli space where string-scale tubes develop. Spacetime and world-sheet
renormalization group analyses provide strong evidence that the decay of these
tachyons removes a portion of the spacetime, splitting the tube into two
pieces. We address the fate of the gauge fields and charges lost in the
process, generalize it to situations with weak flux backgrounds, and use this
process to study the type 0 tachyon, providing further evidence that its decay
drives the theory sub-critical. Finally, we discuss the time-dependent dynamics
of this topology-changing transition and find that it can occur more
efficiently than analogous transitions on extended supersymmetric moduli
spaces, which are limited by moduli trapping.
| [
{
"created": "Wed, 2 Feb 2005 20:38:15 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2005 03:13:28 GMT",
"version": "v2"
}
] | 2011-02-18 | [
[
"Adams",
"A.",
""
],
[
"Liu",
"X.",
""
],
[
"McGreevy",
"J.",
""
],
[
"Saltman",
"A.",
""
],
[
"Silverstein",
"E.",
""
]
] | We argue that closed string tachyons drive two spacetime topology changing transitions -- loss of genus in a Riemann surface and separation of a Riemann surface into two components. The tachyons of interest are localized versions of Scherk-Schwarz winding string tachyons arising on Riemann surfaces in regions of moduli space where string-scale tubes develop. Spacetime and world-sheet renormalization group analyses provide strong evidence that the decay of these tachyons removes a portion of the spacetime, splitting the tube into two pieces. We address the fate of the gauge fields and charges lost in the process, generalize it to situations with weak flux backgrounds, and use this process to study the type 0 tachyon, providing further evidence that its decay drives the theory sub-critical. Finally, we discuss the time-dependent dynamics of this topology-changing transition and find that it can occur more efficiently than analogous transitions on extended supersymmetric moduli spaces, which are limited by moduli trapping. |
hep-th/9209117 | Mirjam Cvetic | Mirjam Cvetic and Stephen Griffies | Domain Walls in $N=1$ Supergravity | 17 pages Talk given at the International Symposium on Black Holes,
Membranes, Wormholes, and Superstrings, The Woodlands, Texas, January, 1992,
UPR-527-T (Comments in chapter 6 on AdS-Minkowski wall induced space-time
have been slightly changed) | null | null | null | hep-th gr-qc | null | We discuss a study of domain walls in $N=1, d=4$ supergravity. The walls
saturate the Bogomol'nyi bound of wall energy per unit area thus proving
stability of the classical solution. They interpolate between two vacua whose
cosmological constant is non-positive and in general different. The matter
configuration and induced geometry are static. We discuss the field theoretic
realization of these walls and classify three canonical configurations with
examples. The space-time induced by a wall interpolating between the Minkowski
(topology $\Re^{4}$) and anti-de~Sitter (topology $S^{1}(time) \times
\Re^{3}(space)$) vacua is discussed. (Comments in chapter 6 on AdS-Minkowski
wall induced space-time have been slightly changed)
| [
{
"created": "Mon, 28 Sep 1992 22:20:15 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Oct 1992 22:14:04 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Griffies",
"Stephen",
""
]
] | We discuss a study of domain walls in $N=1, d=4$ supergravity. The walls saturate the Bogomol'nyi bound of wall energy per unit area thus proving stability of the classical solution. They interpolate between two vacua whose cosmological constant is non-positive and in general different. The matter configuration and induced geometry are static. We discuss the field theoretic realization of these walls and classify three canonical configurations with examples. The space-time induced by a wall interpolating between the Minkowski (topology $\Re^{4}$) and anti-de~Sitter (topology $S^{1}(time) \times \Re^{3}(space)$) vacua is discussed. (Comments in chapter 6 on AdS-Minkowski wall induced space-time have been slightly changed) |
hep-th/9412068 | Eduardo Fraga | E.S. Fraga and C.A.A. De Carvalho | Thermal Decays in a Hot Fermi Gas | 18 pages, REVTEX, 9 figures available upon request | Phys.Rev. B52 (1995) 7448-7457 | 10.1103/PhysRevB.52.7448 | null | hep-th cond-mat hep-ph | null | We present a study of the decay of metastable states of a scalar field via
thermal activation, in the presence of a finite density of fermions. The
process we consider is the nucleation of ``{\it droplets}'' of true vacuum
inside the false one. We analyze a one-dimensional system of interacting bosons
and fermions, considering the latter at finite temperature and with a given
chemical potential. As a consequence of a non-equilibrium formalism previously
developed, we obtain time-dependent decay rates.
| [
{
"created": "Wed, 7 Dec 1994 18:19:38 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Fraga",
"E. S.",
""
],
[
"De Carvalho",
"C. A. A.",
""
]
] | We present a study of the decay of metastable states of a scalar field via thermal activation, in the presence of a finite density of fermions. The process we consider is the nucleation of ``{\it droplets}'' of true vacuum inside the false one. We analyze a one-dimensional system of interacting bosons and fermions, considering the latter at finite temperature and with a given chemical potential. As a consequence of a non-equilibrium formalism previously developed, we obtain time-dependent decay rates. |
0709.1523 | David Mateos | David Mateos | String Theory and Quantum Chromodynamics | 38 pages, 24 figures. Lectures given at the RTN Winter School on
"Strings, Supergravity and Gauge Theories" at CERN on January 15-19, 2007 | Class.Quant.Grav.24:S713-S740,2007 | 10.1088/0264-9381/24/21/S01 | null | hep-th | null | I review recent progress on the connection between string theory and quantum
chromodynamics in the context of the gauge/gravity duality. Emphasis is placed
on conciseness and conceptual aspects rather than on technical details. Topics
covered include the large-Nc limit of gauge theories, the gravitational
description of gauge theory thermodynamics and hydrodynamics, and
confinement/deconfinement thermal phase transitions.
| [
{
"created": "Tue, 11 Sep 2007 04:04:40 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Mateos",
"David",
""
]
] | I review recent progress on the connection between string theory and quantum chromodynamics in the context of the gauge/gravity duality. Emphasis is placed on conciseness and conceptual aspects rather than on technical details. Topics covered include the large-Nc limit of gauge theories, the gravitational description of gauge theory thermodynamics and hydrodynamics, and confinement/deconfinement thermal phase transitions. |
0801.3455 | O-Kab Kwon | Akira Ishida, Chanju Kim, Yoonbai Kim, O-Kab Kwon | Negative-Tension Branes and Tensionless 1/2 Brane in Boundary Conformal
Field Theory | 36 pages, 4 figures | Phys.Rev.D77:126017,2008 | 10.1103/PhysRevD.77.126017 | null | hep-th | null | In the framework of boundary conformal field theory we consider a flat
unstable D$p$-brane in the presence of a large constant electromagnetic field.
Specifically, we study the case that the electromagnetic field satisfy the
following three conditions: (i) a constant electric field is turned on along
the $x^1$ direction ($E_{1}\ne 0$); (ii) the determinant of the matrix $(\eta +
F)$ is negative so that it lies in the physical region ($-\det (\eta + F)>0$);
(iii) the 11-component of its cofactor is positive to the large electromagnetic
field. In this case, we identify exactly marginal deformations depending on the
spatial coordinate $x^1$. They correspond to tachyon profiles of hyperbolic
sine, exponential, and hyperbolic cosine types. Boundary states are constructed
for these deformations by utilizing T-duality approach and also by directly
solving the overlap conditions in BCFT. The exponential type deformation gives
a tensionless half brane connecting the perturbative string vacuum and one of
the true tachyon vacua, while the others have negative tensions. This is in
agreement with the results obtained in other approaches.
| [
{
"created": "Tue, 22 Jan 2008 20:49:47 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ishida",
"Akira",
""
],
[
"Kim",
"Chanju",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Kwon",
"O-Kab",
""
]
] | In the framework of boundary conformal field theory we consider a flat unstable D$p$-brane in the presence of a large constant electromagnetic field. Specifically, we study the case that the electromagnetic field satisfy the following three conditions: (i) a constant electric field is turned on along the $x^1$ direction ($E_{1}\ne 0$); (ii) the determinant of the matrix $(\eta + F)$ is negative so that it lies in the physical region ($-\det (\eta + F)>0$); (iii) the 11-component of its cofactor is positive to the large electromagnetic field. In this case, we identify exactly marginal deformations depending on the spatial coordinate $x^1$. They correspond to tachyon profiles of hyperbolic sine, exponential, and hyperbolic cosine types. Boundary states are constructed for these deformations by utilizing T-duality approach and also by directly solving the overlap conditions in BCFT. The exponential type deformation gives a tensionless half brane connecting the perturbative string vacuum and one of the true tachyon vacua, while the others have negative tensions. This is in agreement with the results obtained in other approaches. |
2007.12468 | Alexander Migdal | Alexander Migdal | Clebsch Confinement and Instantons in Turbulence | Invited review article for Int. J. of Mod. Phys. A. 67 pages, 10
figures, 1 table | null | 10.1142/S0217751X20300185 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a concept of Clebsch confinement related to unbroken gauge
invariance and study Clebsch instantons: singular vorticity sheets with
nontrivial helicity. This is realization of the "Instantons and intermittency"
program we started back in the 90ties\cite{FKLM}.
These singular solutions are involved in enhancing infinitesimal random
forces at remote boundary leading to critical phenomena. In the Euler equation
vorticity is concentrated along the random self-avoiding surface, with tangent
components proportional to the delta function of normal distance.
Viscosity in Navier-Stokes equation smears this delta function to the
Gaussian with width $h \propto \nu^{\nicefrac{3}{5}}$ at $\nu \ra 0$ with fixed
energy flow.
These instantons dominate the enstrophy in dissipation as well as the PDF for
velocity circulation $\Gamma_C$ around fixed loop $C$ in space.
At large loops, the resulting symmetric exponential distribution perfectly
fits the numerical simulations\cite{IBS20} including pre-exponential factor
$1/\sqrt{|\Gamma|}$.
At small loops, we advocate relation of resulting random self-avoiding
surface theory with multi-fractal scaling laws observed in numerical
simulations. These laws are explained as a result of fluctuating internal
metric (Liouville field). The curve of anomalous dimensions $\zeta(n)$ can be
fitted at small $n$ to the parabola, coming from the Liouville theory with two
parameters $\alpha, Q$. At large $n$ the ratios of the subsequent moments in
our theory grow linearly with the size of the loop, which corresponds to finite
value of $\zeta(\infty)$ in agreement with DNS.
| [
{
"created": "Wed, 22 Jul 2020 20:13:54 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jul 2020 03:31:23 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Aug 2020 02:32:25 GMT",
"version": "v3"
},
{
"created": "Wed, 26 Aug 2020 01:27:19 GMT",
"version": "v4"
},
{
"created": "Wed, 2 Sep 2020 01:38:30 GMT",
"version": "v5"
},
{
"created": "Thu, 3 Sep 2020 02:21:49 GMT",
"version": "v6"
},
{
"created": "Mon, 12 Oct 2020 12:12:06 GMT",
"version": "v7"
}
] | 2020-11-12 | [
[
"Migdal",
"Alexander",
""
]
] | We introduce a concept of Clebsch confinement related to unbroken gauge invariance and study Clebsch instantons: singular vorticity sheets with nontrivial helicity. This is realization of the "Instantons and intermittency" program we started back in the 90ties\cite{FKLM}. These singular solutions are involved in enhancing infinitesimal random forces at remote boundary leading to critical phenomena. In the Euler equation vorticity is concentrated along the random self-avoiding surface, with tangent components proportional to the delta function of normal distance. Viscosity in Navier-Stokes equation smears this delta function to the Gaussian with width $h \propto \nu^{\nicefrac{3}{5}}$ at $\nu \ra 0$ with fixed energy flow. These instantons dominate the enstrophy in dissipation as well as the PDF for velocity circulation $\Gamma_C$ around fixed loop $C$ in space. At large loops, the resulting symmetric exponential distribution perfectly fits the numerical simulations\cite{IBS20} including pre-exponential factor $1/\sqrt{|\Gamma|}$. At small loops, we advocate relation of resulting random self-avoiding surface theory with multi-fractal scaling laws observed in numerical simulations. These laws are explained as a result of fluctuating internal metric (Liouville field). The curve of anomalous dimensions $\zeta(n)$ can be fitted at small $n$ to the parabola, coming from the Liouville theory with two parameters $\alpha, Q$. At large $n$ the ratios of the subsequent moments in our theory grow linearly with the size of the loop, which corresponds to finite value of $\zeta(\infty)$ in agreement with DNS. |
2112.12540 | Marc Gillioz | Marc Gillioz | Spinors and conformal correlators | 22 + 11 pages, one figure. v2: matches published version | JHEP 2022, 170 | 10.1007/JHEP03(2022)170 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In conformal field theory, momentum eigenstates can be parameterized by a
pair of real spinors, in terms of which special conformal transformations take
a simpler form. This well-known fact allows to express 2-point functions of
primary operators in the helicity basis, exposing the consequences of
unitarity. What is less known is that the same pair of spinors can be used,
together with a pair of scalar quantities, to parameterize 3-point functions.
We develop this formalism in 3 dimensions and show that it provides a simple
realization of the operator product expansion (OPE) for scalar primary
operators acting on the vacuum.
| [
{
"created": "Thu, 23 Dec 2021 13:54:06 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Mar 2022 14:21:31 GMT",
"version": "v2"
}
] | 2022-03-30 | [
[
"Gillioz",
"Marc",
""
]
] | In conformal field theory, momentum eigenstates can be parameterized by a pair of real spinors, in terms of which special conformal transformations take a simpler form. This well-known fact allows to express 2-point functions of primary operators in the helicity basis, exposing the consequences of unitarity. What is less known is that the same pair of spinors can be used, together with a pair of scalar quantities, to parameterize 3-point functions. We develop this formalism in 3 dimensions and show that it provides a simple realization of the operator product expansion (OPE) for scalar primary operators acting on the vacuum. |
1506.08433 | Taizan Watari | Taizan Watari | Statistics of Flux Vacua for Particle Physics | 51 pages | null | 10.1007/JHEP11(2015)065 | IPMU15-0097 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supersymmetric flux compactification of F-theory in the geometric phase
yields numerous vacua, and provides an ensemble of low-energy effective
theories with different symmetry, matter multiplicity and Lagrangian
parameters. Theoretical tools have already been developed so that we can study
how the statistics of flux vacua depend on the choice of symmetry and some of
Lagrangian parameters. In this article, we estimate the fraction of i) vacua
that have a U(1) symmetry for spontaneous R-parity violation, and ii) those
that realise ideas which achieve hierarchical eigenvalues of the Yukawa
matrices. We also learn a lesson that the number of flux vacua is reduced very
much when the unbroken $U(1)_Y$ symmetry is obtained from a non-trivial
Mordell--Weil group, while it is not when $U(1)_Y$ is in SU(5) unification. It
also turns out that vacua with an approximate U(1) symmetry forms a locus of
accumulation points of the flux vacua distribution.
| [
{
"created": "Sun, 28 Jun 2015 18:16:39 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Watari",
"Taizan",
""
]
] | Supersymmetric flux compactification of F-theory in the geometric phase yields numerous vacua, and provides an ensemble of low-energy effective theories with different symmetry, matter multiplicity and Lagrangian parameters. Theoretical tools have already been developed so that we can study how the statistics of flux vacua depend on the choice of symmetry and some of Lagrangian parameters. In this article, we estimate the fraction of i) vacua that have a U(1) symmetry for spontaneous R-parity violation, and ii) those that realise ideas which achieve hierarchical eigenvalues of the Yukawa matrices. We also learn a lesson that the number of flux vacua is reduced very much when the unbroken $U(1)_Y$ symmetry is obtained from a non-trivial Mordell--Weil group, while it is not when $U(1)_Y$ is in SU(5) unification. It also turns out that vacua with an approximate U(1) symmetry forms a locus of accumulation points of the flux vacua distribution. |
hep-th/9507101 | null | A.I.Bugrij, L.L.Jenkovszky, V.N.Shadura | $S$-matrix representation of the finite temperature propagator in
$\lambda\phi^4$-QFT | 9 pages | null | null | null | hep-th | null | The two-point Green function of the massive scalar $(3+1)$-quantum field
theory with $\lambda\phi^4$ interaction at finite temperature is evaluated up
to the 2nd order of perturbation theory. The averaging on the vacuum
fluctuations is separated from the averaging on the thermal fluctuations
explicitly. As a result, the temperature dependent part of the propagator is
expressed through the scattering amplitudes. The obtained expression is
generalized for higher orders of perturbation theory.
| [
{
"created": "Thu, 20 Jul 1995 08:33:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bugrij",
"A. I.",
""
],
[
"Jenkovszky",
"L. L.",
""
],
[
"Shadura",
"V. N.",
""
]
] | The two-point Green function of the massive scalar $(3+1)$-quantum field theory with $\lambda\phi^4$ interaction at finite temperature is evaluated up to the 2nd order of perturbation theory. The averaging on the vacuum fluctuations is separated from the averaging on the thermal fluctuations explicitly. As a result, the temperature dependent part of the propagator is expressed through the scattering amplitudes. The obtained expression is generalized for higher orders of perturbation theory. |
1802.09554 | James Scargill | Nemanja Kaloper and James Scargill | Quantum Cosmic No-Hair Theorem and Inflation | 21 pages, 2 figures; v2 (published version) typos fixed, improved
discussion of transplanckian issues and relation to previous work | Phys. Rev. D 99, 103514 (2019) | 10.1103/PhysRevD.99.103514 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider implications of the quantum extension of the inflationary no hair
theorem. We show that when the quantum state of inflation is picked to ensure
the validity of the EFT of fluctuations, it takes only ${\cal O}(10)$ efolds of
inflation to erase the effects of the initial distortions on the inflationary
observables. Thus the Bunch-Davies vacuum is a very strong quantum attractor
during inflation. We also consider bouncing universes, where the initial
conditions seem to linger much longer and the quantum `balding' by evolution
appears to be less efficient.
| [
{
"created": "Mon, 26 Feb 2018 19:01:07 GMT",
"version": "v1"
},
{
"created": "Wed, 22 May 2019 22:32:45 GMT",
"version": "v2"
}
] | 2019-05-24 | [
[
"Kaloper",
"Nemanja",
""
],
[
"Scargill",
"James",
""
]
] | We consider implications of the quantum extension of the inflationary no hair theorem. We show that when the quantum state of inflation is picked to ensure the validity of the EFT of fluctuations, it takes only ${\cal O}(10)$ efolds of inflation to erase the effects of the initial distortions on the inflationary observables. Thus the Bunch-Davies vacuum is a very strong quantum attractor during inflation. We also consider bouncing universes, where the initial conditions seem to linger much longer and the quantum `balding' by evolution appears to be less efficient. |
hep-th/0512160 | Jarah Evslin | Jarah Evslin | Killing Horizons | 21 pages, refs added | null | null | null | hep-th gr-qc | null | QED in two-dimensional Minkowski space contains a single physical state as
seen by an inertial observer or by a constantly accelerating Rindler observer.
However in Feynman gauge if one takes a generic representative of the physical
Minkowski state and traces over all left Rindler states, one does not arrive at
a physical right Rindler state, but rather at a "density matrix" with negative
eigenvalues for negative norm states corresponding intuitively to the radiation
of uncorrelated temporal photons and ghosts. This reflects the fact that states
that are exact under the Minkowski BRST operator are not necessarily exact or
even closed under the Rindler BRST operator. Such situations are avoided when
there are quantum corrections to the Hamiltonian that eliminate the horizons,
which yield Mathurian fuzzball solutions.
| [
{
"created": "Wed, 14 Dec 2005 13:34:55 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2006 13:13:25 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Feb 2007 19:51:28 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Evslin",
"Jarah",
""
]
] | QED in two-dimensional Minkowski space contains a single physical state as seen by an inertial observer or by a constantly accelerating Rindler observer. However in Feynman gauge if one takes a generic representative of the physical Minkowski state and traces over all left Rindler states, one does not arrive at a physical right Rindler state, but rather at a "density matrix" with negative eigenvalues for negative norm states corresponding intuitively to the radiation of uncorrelated temporal photons and ghosts. This reflects the fact that states that are exact under the Minkowski BRST operator are not necessarily exact or even closed under the Rindler BRST operator. Such situations are avoided when there are quantum corrections to the Hamiltonian that eliminate the horizons, which yield Mathurian fuzzball solutions. |
0908.4052 | Nikita A. Nekrasov | Nikita A. Nekrasov, Samson L. Shatashvili | Quantization of Integrable Systems and Four Dimensional Gauge Theories | 32 pp. 1 figure | null | 10.1142/9789814304634_0015 | TCD-MATH-09-19, HMI-09-09, IHES/P/09/38 | hep-th math-ph math.AG math.AP math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study four dimensional N=2 supersymmetric gauge theory in the
Omega-background with the two dimensional N=2 super-Poincare invariance. We
explain how this gauge theory provides the quantization of the classical
integrable system underlying the moduli space of vacua of the ordinary four
dimensional N=2 theory.
The epsilon-parameter of the Omega-background is identified with the Planck
constant, the twisted chiral ring maps to quantum Hamiltonians, the
supersymmetric vacua are identified with Bethe states of quantum integrable
systems. This four dimensional gauge theory in its low energy description has
two dimensional twisted superpotential which becomes the Yang-Yang function of
the integrable system. We present the thermodynamic-Bethe-ansatz like formulae
for these functions and for the spectra of commuting Hamiltonians following the
direct computation in gauge theory. The general construction is illustrated at
the examples of the many-body systems, such as the periodic Toda chain, the
elliptic Calogero-Moser system, and their relativistic versions, for which we
present a complete characterization of the L^2-spectrum. We very briefly
discuss the quantization of Hitchin system.
| [
{
"created": "Thu, 27 Aug 2009 18:21:13 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Nekrasov",
"Nikita A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] | We study four dimensional N=2 supersymmetric gauge theory in the Omega-background with the two dimensional N=2 super-Poincare invariance. We explain how this gauge theory provides the quantization of the classical integrable system underlying the moduli space of vacua of the ordinary four dimensional N=2 theory. The epsilon-parameter of the Omega-background is identified with the Planck constant, the twisted chiral ring maps to quantum Hamiltonians, the supersymmetric vacua are identified with Bethe states of quantum integrable systems. This four dimensional gauge theory in its low energy description has two dimensional twisted superpotential which becomes the Yang-Yang function of the integrable system. We present the thermodynamic-Bethe-ansatz like formulae for these functions and for the spectra of commuting Hamiltonians following the direct computation in gauge theory. The general construction is illustrated at the examples of the many-body systems, such as the periodic Toda chain, the elliptic Calogero-Moser system, and their relativistic versions, for which we present a complete characterization of the L^2-spectrum. We very briefly discuss the quantization of Hitchin system. |
hep-th/9712028 | Edward Witten | Edward Witten | Toroidal Compactification Without Vector Structure | 50 pp.,harvmac | JHEP 9802:006,1998 | 10.1088/1126-6708/1998/02/006 | null | hep-th | null | Many important ideas about string duality that appear in conventional $\T^2$
compactification have analogs for $\T^2$ compactification without vector
structure. We analyze some of these issues and show, in particular, how
orientifold planes associated with $Sp(n)$ gauge groups can arise from
T-duality and how they can be interpreted in F-theory. We also, in an appendix,
resolve a longstanding puzzle concerning the computation of $\Tr (-1)^F$ in
four-dimensional supersymmetric Yang-Mills theory with gauge group SO(n).
| [
{
"created": "Wed, 3 Dec 1997 15:01:03 GMT",
"version": "v1"
}
] | 2010-04-07 | [
[
"Witten",
"Edward",
""
]
] | Many important ideas about string duality that appear in conventional $\T^2$ compactification have analogs for $\T^2$ compactification without vector structure. We analyze some of these issues and show, in particular, how orientifold planes associated with $Sp(n)$ gauge groups can arise from T-duality and how they can be interpreted in F-theory. We also, in an appendix, resolve a longstanding puzzle concerning the computation of $\Tr (-1)^F$ in four-dimensional supersymmetric Yang-Mills theory with gauge group SO(n). |
1806.03121 | Kieran Bull | Kieran Bull, Yang-Hui He, Vishnu Jejjala, Challenger Mishra | Machine Learning CICY Threefolds | 22 pages, 10 figures. V2: Added new results of using permutations of
the CICY matrix to reduce the class imbalance when predicting discrete
symmetries. V3: Corrected typing errors in table 5 | null | 10.1016/j.physletb.2018.08.008 | null | hep-th hep-ph math.AG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The latest techniques from Neural Networks and Support Vector Machines (SVM)
are used to investigate geometric properties of Complete Intersection
Calabi-Yau (CICY) threefolds, a class of manifolds that facilitate string model
building. An advanced neural network classifier and SVM are employed to (1)
learn Hodge numbers and report a remarkable improvement over previous efforts,
(2) query for favourability, and (3) predict discrete symmetries, a highly
imbalanced problem to which both Synthetic Minority Oversampling Technique
(SMOTE) and permutations of the CICY matrix are used to decrease the class
imbalance and improve performance. In each case study, we employ a genetic
algorithm to optimise the hyperparameters of the neural network. We demonstrate
that our approach provides quick diagnostic tools capable of shortlisting
quasi-realistic string models based on compactification over smooth CICYs and
further supports the paradigm that classes of problems in algebraic geometry
can be machine learned.
| [
{
"created": "Fri, 8 Jun 2018 12:40:04 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2018 14:00:12 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Jul 2018 11:58:24 GMT",
"version": "v3"
}
] | 2018-08-22 | [
[
"Bull",
"Kieran",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Mishra",
"Challenger",
""
]
] | The latest techniques from Neural Networks and Support Vector Machines (SVM) are used to investigate geometric properties of Complete Intersection Calabi-Yau (CICY) threefolds, a class of manifolds that facilitate string model building. An advanced neural network classifier and SVM are employed to (1) learn Hodge numbers and report a remarkable improvement over previous efforts, (2) query for favourability, and (3) predict discrete symmetries, a highly imbalanced problem to which both Synthetic Minority Oversampling Technique (SMOTE) and permutations of the CICY matrix are used to decrease the class imbalance and improve performance. In each case study, we employ a genetic algorithm to optimise the hyperparameters of the neural network. We demonstrate that our approach provides quick diagnostic tools capable of shortlisting quasi-realistic string models based on compactification over smooth CICYs and further supports the paradigm that classes of problems in algebraic geometry can be machine learned. |
hep-th/0406244 | Luiz Agostinho Ferreira | E. De Carli and L. A. Ferreira | A model for Hopfions on the space-time S^3 x R | Enlarged version with the time-dependent solutions explicitly given.
One reference and two eps figures added. 14 pages, latex | J.Math.Phys. 46 (2005) 012703 | 10.1063/1.1829911 | null | hep-th math-ph math.MP nlin.SI | null | We construct static and time dependent exact soliton solutions for a theory
of scalar fields taking values on a wide class of two dimensional target
spaces, and defined on the four dimensional space-time S^3 x R. The
construction is based on an ansatz built out of special coordinates on S^3. The
requirement for finite energy introduces boundary conditions that determine an
infinite discrete spectrum of frequencies for the oscillating solutions. For
the case where the target space is the sphere S^2, we obtain static soliton
solutions with non-trivial Hopf topological charges. In addition, such hopfions
can oscillate in time, preserving their topological Hopf charge, with any of
the frequencies belonging to that infinite discrete spectrum.
| [
{
"created": "Fri, 25 Jun 2004 18:06:52 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Oct 2004 13:53:33 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"De Carli",
"E.",
""
],
[
"Ferreira",
"L. A.",
""
]
] | We construct static and time dependent exact soliton solutions for a theory of scalar fields taking values on a wide class of two dimensional target spaces, and defined on the four dimensional space-time S^3 x R. The construction is based on an ansatz built out of special coordinates on S^3. The requirement for finite energy introduces boundary conditions that determine an infinite discrete spectrum of frequencies for the oscillating solutions. For the case where the target space is the sphere S^2, we obtain static soliton solutions with non-trivial Hopf topological charges. In addition, such hopfions can oscillate in time, preserving their topological Hopf charge, with any of the frequencies belonging to that infinite discrete spectrum. |
hep-th/0104145 | Leonidas Sandoval Junior | Leonidas Sandoval Jr | Sewing string tree vertices using canonical forms | 13 pages | null | null | null | hep-th | null | We effectively sew two vertices with ghosts in order to obtain a third,
composite vertex in the most general case of cycling transformations. In order
to do this, we separate the vertices into two parts: a bosonic oscillator part
and a ghost oscillator part and write them as canonical forms.
| [
{
"created": "Tue, 17 Apr 2001 14:50:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sandoval",
"Leonidas",
"Jr"
]
] | We effectively sew two vertices with ghosts in order to obtain a third, composite vertex in the most general case of cycling transformations. In order to do this, we separate the vertices into two parts: a bosonic oscillator part and a ghost oscillator part and write them as canonical forms. |
hep-th/0507137 | Edwin Barnes | Edwin Barnes, Elie Gorbatov, Ken Intriligator, Matt Sudano, Jason
Wright | The Exact Superconformal R-symmetry Minimizes $\tau_{RR}$ | 18 pages | Nucl.Phys.B730:210-222,2005 | 10.1016/j.nuclphysb.2005.10.003 | null | hep-th | null | We present a new, general constraint which, in principle, determines the
superconformal $U(1)_R$ symmetry of 4d $\N =1$ SCFTs, and also 3d $\N =2$
SCFTs. Among all possibilities, the superconformal $U(1)_R$ is that which
minimizes the coefficient, $\tau_{RR}$, of its two-point function.
Equivalently, the superconformal $U(1)_R$ is the unique one with vanishing
two-point function with every non-R flavor symmetry. For 4d $\N =1$ SCFTs,
$\tau_{RR}$ minimization gives an alternative to a-maximization. $\tau_{RR}$
minimization also applies in 3d, where no condition for determining the
superconformal $U(1)_R$ had been previously known. Unfortunately, this
constraint seems impractical to implement for interacting field theories. But
it can be readily implemented in the AdS geometry for SCFTs with AdS duals.
| [
{
"created": "Thu, 14 Jul 2005 18:44:16 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jul 2005 20:54:03 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Barnes",
"Edwin",
""
],
[
"Gorbatov",
"Elie",
""
],
[
"Intriligator",
"Ken",
""
],
[
"Sudano",
"Matt",
""
],
[
"Wright",
"Jason",
""
]
] | We present a new, general constraint which, in principle, determines the superconformal $U(1)_R$ symmetry of 4d $\N =1$ SCFTs, and also 3d $\N =2$ SCFTs. Among all possibilities, the superconformal $U(1)_R$ is that which minimizes the coefficient, $\tau_{RR}$, of its two-point function. Equivalently, the superconformal $U(1)_R$ is the unique one with vanishing two-point function with every non-R flavor symmetry. For 4d $\N =1$ SCFTs, $\tau_{RR}$ minimization gives an alternative to a-maximization. $\tau_{RR}$ minimization also applies in 3d, where no condition for determining the superconformal $U(1)_R$ had been previously known. Unfortunately, this constraint seems impractical to implement for interacting field theories. But it can be readily implemented in the AdS geometry for SCFTs with AdS duals. |
0910.2615 | Cumrun Vafa | Sergio Cecotti and Cumrun Vafa | BPS Wall Crossing and Topological Strings | 18 pages, additional references | null | null | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By embedding N=2 gauge theories in string theory and utilizing string
dualities we map the counting of BPS states with arbitrary electric and
magnetic charges to computations of an A-model topological string on an
associated geometry constructed from the data of the SW curve. We show how the
conjecture of Kontsevich and Soibelman regarding wall crossing, as well as a
more refined version which captures the spin content of BPS states, is a
natural consequence. Chern-Simons theory realized on A-branes and a twistorial
construction play key roles.
| [
{
"created": "Wed, 14 Oct 2009 13:29:05 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2009 11:17:46 GMT",
"version": "v2"
}
] | 2009-11-04 | [
[
"Cecotti",
"Sergio",
""
],
[
"Vafa",
"Cumrun",
""
]
] | By embedding N=2 gauge theories in string theory and utilizing string dualities we map the counting of BPS states with arbitrary electric and magnetic charges to computations of an A-model topological string on an associated geometry constructed from the data of the SW curve. We show how the conjecture of Kontsevich and Soibelman regarding wall crossing, as well as a more refined version which captures the spin content of BPS states, is a natural consequence. Chern-Simons theory realized on A-branes and a twistorial construction play key roles. |
2305.01004 | Leonardo Santilli | Leonardo Santilli and Christoph F. Uhlemann | 3d defects in 5d: RG flows and defect F-maximization | 40 pages, 10 figures; v2: references added, published version | J. High Energ. Phys. 2023, 136 (2023) | 10.1007/JHEP06(2023)136 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use a combination of AdS/CFT and supersymmetric localization to study
codimension-2 defects in 5d SCFTs and their gauge theory deformations. The 5d
SCFTs are engineered by $(p,q)$ 5-brane webs, with defects realized by
D3-branes ending on the 5-brane webs. We obtain the defect free energies and
find that gauge theory descriptions of the combined 5d/3d systems can be
connected to the UV defect SCFTs through a form of F-maximization which
extremizes over different gauge theory defects. This leads to a match between
the defect free energies obtained from supersymmetric localization in the gauge
theories on the one hand and string theory results on the other. We extend this
match to defect RG flows.
| [
{
"created": "Mon, 1 May 2023 18:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jun 2023 01:20:13 GMT",
"version": "v2"
}
] | 2023-06-28 | [
[
"Santilli",
"Leonardo",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] | We use a combination of AdS/CFT and supersymmetric localization to study codimension-2 defects in 5d SCFTs and their gauge theory deformations. The 5d SCFTs are engineered by $(p,q)$ 5-brane webs, with defects realized by D3-branes ending on the 5-brane webs. We obtain the defect free energies and find that gauge theory descriptions of the combined 5d/3d systems can be connected to the UV defect SCFTs through a form of F-maximization which extremizes over different gauge theory defects. This leads to a match between the defect free energies obtained from supersymmetric localization in the gauge theories on the one hand and string theory results on the other. We extend this match to defect RG flows. |
0711.0407 | Shunji Matsuura | Shunji Matsuura | On holographic phase transitions at finite chemical potential | 24 pages, 16 figures; reference added | JHEP 0711:098,2007 | 10.1088/1126-6708/2007/11/098 | pi-strings-68 | hep-th | null | Recent Holographic studies have shown that N=4 super Yang-Mills theory
coupled to fundamental matter with finite chemical potential undergoes a first
order phase transition. In this paper, we study Nf D6 probe branes with or
without electric field on it in the black D4 brane background compactified on a
circle with supersymmetry breaking boundary condition. At energy scales much
lower than the compactification scale, the dual gauge theory is effectively
four dimensional non-supersymmetric SU(Nc) Yang-Mills theory coupled to
fundamental matter with or without baryon number charge. Within the
supergravity approximation, the decoupling of the Kaluza-Klein modes is not
fully realized. For chemical potential mu<NcMq there is a line of first order
phase transitions from stable meson phase to unstable meson phase. On the other
hand for mu>NcMq there is no phase transition and mesons are unstable. A
peculiar and interesting property of this system is that for a certain range of
chemical potential mu<NcMq, a new phase transition appears in the unstable
meson phase. This phase transition is characterized by a discontinuous change
of unstable meson lifetime.
| [
{
"created": "Fri, 2 Nov 2007 22:32:45 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Nov 2007 14:19:56 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Dec 2007 11:21:39 GMT",
"version": "v3"
}
] | 2009-05-20 | [
[
"Matsuura",
"Shunji",
""
]
] | Recent Holographic studies have shown that N=4 super Yang-Mills theory coupled to fundamental matter with finite chemical potential undergoes a first order phase transition. In this paper, we study Nf D6 probe branes with or without electric field on it in the black D4 brane background compactified on a circle with supersymmetry breaking boundary condition. At energy scales much lower than the compactification scale, the dual gauge theory is effectively four dimensional non-supersymmetric SU(Nc) Yang-Mills theory coupled to fundamental matter with or without baryon number charge. Within the supergravity approximation, the decoupling of the Kaluza-Klein modes is not fully realized. For chemical potential mu<NcMq there is a line of first order phase transitions from stable meson phase to unstable meson phase. On the other hand for mu>NcMq there is no phase transition and mesons are unstable. A peculiar and interesting property of this system is that for a certain range of chemical potential mu<NcMq, a new phase transition appears in the unstable meson phase. This phase transition is characterized by a discontinuous change of unstable meson lifetime. |
hep-th/0404110 | Kuldeep Kumar | Rabin Banerjee, Kuldeep Kumar | Maps for currents and anomalies in noncommutative gauge theories | 18 pages, LaTeX, title shortened, last section expanded | Phys. Rev. D 71 (2005) 045013 | 10.1103/PhysRevD.71.045013 | null | hep-th | null | We derive maps relating currents and their divergences in non-abelian U(N)
noncommutative gauge theory with the corresponding expressions in the ordinary
(commutative) description. For the U(1) theory, in the slowly-varying-field
approximation, these maps are also seen to connect the star-gauge-covariant
anomaly in the noncommutative theory with the standard Adler--Bell--Jackiw
anomaly in the commutative version. For arbitrary fields, derivative
corrections to the maps are explicitly computed up to O(\theta^2).
| [
{
"created": "Fri, 16 Apr 2004 10:21:17 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Apr 2005 06:45:28 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Banerjee",
"Rabin",
""
],
[
"Kumar",
"Kuldeep",
""
]
] | We derive maps relating currents and their divergences in non-abelian U(N) noncommutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field approximation, these maps are also seen to connect the star-gauge-covariant anomaly in the noncommutative theory with the standard Adler--Bell--Jackiw anomaly in the commutative version. For arbitrary fields, derivative corrections to the maps are explicitly computed up to O(\theta^2). |
2102.03584 | Hesam Soltanpanahi | M. Asadi (1), H. Soltanpanahi (2 and 3), Farid Taghinavaz (1) ((1)
IPM, Tehran, (2) South China Normal University, Guangzhou, (3) Jagiellonian
University, Krakow) | Critical behaviour of hydrodynamic series | 28+7 pages, 5 figures, comments welcome! | J. High Energ. Phys. 2021, 287 (2021) | 10.1007/JHEP05(2021)287 | null | hep-th cond-mat.str-el hep-ph math-ph math.MP nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the time-dependent perturbations of strongly coupled
$\mathcal{N} = 4$ SYM theory at finite temperature and finite chemical
potential with a second order phase transition. This theory is modelled by a
top-down Einstein-Maxwell-dilaton description which is a consistent truncation
of the dimensional reduction of type IIB string theory on AdS$_5\times$S$^5$.
We focus on spin-1 and spin-2 sectors of perturbations and compute the
linearized hydrodynamic transport coefficients up to the third order in
gradient expansion. We also determine the radius of convergence of the
hydrodynamic mode in spin-1 sector and the lowest non-hydrodynamic modes in
spin-2 sector. Analytically, we find that all the hydrodynamic quantities have
the same critical exponent near the critical point $\theta = 1/2$. Moreover, we
establish a relation between symmetry enhancement of the underlying theory and
vanishing the only third order hydrodynamic transport coefficient $\theta_1$,
which appears in the shear dispersion relation of a conformal theory on a flat
background.
| [
{
"created": "Sat, 6 Feb 2021 13:23:44 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Feb 2021 22:09:05 GMT",
"version": "v2"
}
] | 2021-06-02 | [
[
"Asadi",
"M.",
"",
"2 and 3"
],
[
"Soltanpanahi",
"H.",
"",
"2 and 3"
],
[
"Taghinavaz",
"Farid",
""
]
] | We investigate the time-dependent perturbations of strongly coupled $\mathcal{N} = 4$ SYM theory at finite temperature and finite chemical potential with a second order phase transition. This theory is modelled by a top-down Einstein-Maxwell-dilaton description which is a consistent truncation of the dimensional reduction of type IIB string theory on AdS$_5\times$S$^5$. We focus on spin-1 and spin-2 sectors of perturbations and compute the linearized hydrodynamic transport coefficients up to the third order in gradient expansion. We also determine the radius of convergence of the hydrodynamic mode in spin-1 sector and the lowest non-hydrodynamic modes in spin-2 sector. Analytically, we find that all the hydrodynamic quantities have the same critical exponent near the critical point $\theta = 1/2$. Moreover, we establish a relation between symmetry enhancement of the underlying theory and vanishing the only third order hydrodynamic transport coefficient $\theta_1$, which appears in the shear dispersion relation of a conformal theory on a flat background. |
2103.03961 | Elizabeth Himwich | Alfredo Guevara, Elizabeth Himwich, Monica Pate, and Andrew Strominger | Holographic Symmetry Algebras for Gauge Theory and Gravity | 19 pages | null | 10.1007/JHEP11(2021)152 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | All 4D gauge and gravitational theories in asymptotically flat spacetimes
contain an infinite number of non-trivial symmetries. They can be succinctly
characterized by generalized 2D currents acting on the celestial sphere. A
complete classification of these symmetries and their algebras is an open
problem. Here we construct two towers of such 2D currents from
positive-helicity photons, gluons, or gravitons with integer conformal weights.
These generate the symmetries associated to an infinite tower of conformally
soft theorems. The current algebra commutators are explicitly derived from the
poles in the OPE coefficients, and found to comprise a rich closed subalgebra
of the complete symmetry algebra.
| [
{
"created": "Fri, 5 Mar 2021 22:34:17 GMT",
"version": "v1"
},
{
"created": "Mon, 31 May 2021 17:31:51 GMT",
"version": "v2"
}
] | 2021-12-08 | [
[
"Guevara",
"Alfredo",
""
],
[
"Himwich",
"Elizabeth",
""
],
[
"Pate",
"Monica",
""
],
[
"Strominger",
"Andrew",
""
]
] | All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete classification of these symmetries and their algebras is an open problem. Here we construct two towers of such 2D currents from positive-helicity photons, gluons, or gravitons with integer conformal weights. These generate the symmetries associated to an infinite tower of conformally soft theorems. The current algebra commutators are explicitly derived from the poles in the OPE coefficients, and found to comprise a rich closed subalgebra of the complete symmetry algebra. |
1703.02765 | Mohammad Naghdi | M. Naghdi | Massive (pesudo)Scalars in AdS$_4$, SO(4) Invariant Solutions and
Holography | 20 Pages; than the v1 version: (minor) reorganization of the content:
for more readability and clarity, discussions on backreaction removed from
here; typos fixed | Eur. Phys. J. Plus 133, 307 (2018) | 10.1140/epjp/i2018-12121-0 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We include a new 7-form ansatz in 11-dimensional supergravity over AdS_4 x
S^7/Z_k when the internal space is considered as a U(1) bundle on CP^3. After a
general analysis of the ansatz, we take a special form of it and obtain a
scalar equation from which we focus on a few massive bulk modes that are SU(4)
x U(1) R-singlet and break all supersymmetries. The mass term breaks the scale
invariance and so the (perturbative) solutions we obtain are SO(4) invariant in
Euclidean AdS_4 (or SO(3,1) in its dS_3 slicing). The corresponding bare
operators are irrelevant in probe approximation; and to realize the AdS_4/CFT_3
correspondence, we need to swap the fundamental representations of $SO(8)$ for
supercharges with those for scalars and fermions. In fact, we have domain-walls
arising from (anti)M5-branes wrapping around S^3/Z_k of the internal space with
parity breaking scheme. As a result, the duals may be in three-dimensional U(N)
or O(N) Chern-Simon models with matters in fundamental representations.
Accordingly, we present dual boundary operators and build instanton solutions
in a truncated version of the boundary ABJM action; and, because of the
unboundedness of bulk potential from below, it is thought that they lead to big
crunch singularities in the bulk.
| [
{
"created": "Wed, 8 Mar 2017 10:01:43 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jul 2017 16:04:16 GMT",
"version": "v2"
}
] | 2018-08-02 | [
[
"Naghdi",
"M.",
""
]
] | We include a new 7-form ansatz in 11-dimensional supergravity over AdS_4 x S^7/Z_k when the internal space is considered as a U(1) bundle on CP^3. After a general analysis of the ansatz, we take a special form of it and obtain a scalar equation from which we focus on a few massive bulk modes that are SU(4) x U(1) R-singlet and break all supersymmetries. The mass term breaks the scale invariance and so the (perturbative) solutions we obtain are SO(4) invariant in Euclidean AdS_4 (or SO(3,1) in its dS_3 slicing). The corresponding bare operators are irrelevant in probe approximation; and to realize the AdS_4/CFT_3 correspondence, we need to swap the fundamental representations of $SO(8)$ for supercharges with those for scalars and fermions. In fact, we have domain-walls arising from (anti)M5-branes wrapping around S^3/Z_k of the internal space with parity breaking scheme. As a result, the duals may be in three-dimensional U(N) or O(N) Chern-Simon models with matters in fundamental representations. Accordingly, we present dual boundary operators and build instanton solutions in a truncated version of the boundary ABJM action; and, because of the unboundedness of bulk potential from below, it is thought that they lead to big crunch singularities in the bulk. |
0807.4637 | Rabin Banerjee | Rabin Banerjee | Covariant Anomalies, Horizons and Hawking Radiation | 5 pages; This essay was awarded an Honorable Mention in the 2008
Gravity Research Foundation essay competition | Int.J.Mod.Phys.D17:2539-2542,2009 | 10.1142/S0218271808014175 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Hawking radiation is obtained from anomalies resulting from a breaking of
diffeomorphism symmetry near the event horizon of a black hole. Such anomalies,
manifested as a nonconservation of the energy momentum tensor, occur in two
different forms -- covariant and consistent. The crucial role of covariant
anomalies near the horizon is revealed since this is the {\it only} input
required to obtain the Hawking flux, thereby highlighting the universality of
this effect. A brief description to apply this method to obtain thermodynamic
entities like entropy or temperature is provided.
| [
{
"created": "Tue, 29 Jul 2008 11:44:21 GMT",
"version": "v1"
}
] | 2009-03-20 | [
[
"Banerjee",
"Rabin",
""
]
] | Hawking radiation is obtained from anomalies resulting from a breaking of diffeomorphism symmetry near the event horizon of a black hole. Such anomalies, manifested as a nonconservation of the energy momentum tensor, occur in two different forms -- covariant and consistent. The crucial role of covariant anomalies near the horizon is revealed since this is the {\it only} input required to obtain the Hawking flux, thereby highlighting the universality of this effect. A brief description to apply this method to obtain thermodynamic entities like entropy or temperature is provided. |
1407.3831 | Masoumeh Ghasemkhani | Masoumeh Ghasemkhani | Noncommutative Sugawara Construction | Matches published version | Eur. Phys. J. C (2015) 75,347 | 10.1140/epjc/s10052-015-3570-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The noncommutative extension of the Sugawara construction for free massless
fermionic fields in two dimensions is studied. We prove that the equivalence of
the noncommutative Sugawara energy-momentum tensor and symmetric
energy-momentum tensor persists in the noncommutative extension. Some relevant
physical results of this equivalence are also discussed.
| [
{
"created": "Mon, 14 Jul 2014 21:51:34 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 2015 05:03:30 GMT",
"version": "v2"
}
] | 2015-07-29 | [
[
"Ghasemkhani",
"Masoumeh",
""
]
] | The noncommutative extension of the Sugawara construction for free massless fermionic fields in two dimensions is studied. We prove that the equivalence of the noncommutative Sugawara energy-momentum tensor and symmetric energy-momentum tensor persists in the noncommutative extension. Some relevant physical results of this equivalence are also discussed. |
2402.09111 | Jiajie Mei | Jiajie Mei and Yuyu Mo | On-shell Bootstrap for n-gluons and gravitons scattering in (A)dS,
Unitarity and Soft limit | v2: Typos and minor errors fixed, references added | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We propose an algorithm to recursively bootstrap $n$-point gluon and graviton
Mellin-Momentum amplitudes in (A)dS spacetime using only three-point amplitude.
We discover that gluon amplitudes are simply determined by factorization for
$n\geq 5$. The same principle applies to $n$-point graviton amplitudes, but
additional constraints such as flat space and soft limits are needed to fix
contact terms. Furthermore, we establish a mapping from $n$-point
Mellin-Momentum amplitudes to $n$-point cosmological correlators. We
efficiently compute explicit examples up to five points. This leads to the
first five-graviton amplitude in $AdS_{d+1}$.
| [
{
"created": "Wed, 14 Feb 2024 11:54:20 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Mar 2024 12:21:11 GMT",
"version": "v2"
}
] | 2024-03-19 | [
[
"Mei",
"Jiajie",
""
],
[
"Mo",
"Yuyu",
""
]
] | We propose an algorithm to recursively bootstrap $n$-point gluon and graviton Mellin-Momentum amplitudes in (A)dS spacetime using only three-point amplitude. We discover that gluon amplitudes are simply determined by factorization for $n\geq 5$. The same principle applies to $n$-point graviton amplitudes, but additional constraints such as flat space and soft limits are needed to fix contact terms. Furthermore, we establish a mapping from $n$-point Mellin-Momentum amplitudes to $n$-point cosmological correlators. We efficiently compute explicit examples up to five points. This leads to the first five-graviton amplitude in $AdS_{d+1}$. |
hep-th/9307086 | null | D. Espriu and J. Matias | Regularization Methods in Chiral Perturbation Theory | 37 pages, 5 figs. not included (available upon request), LaTeX,
PREPRINT UB-ECM-PF 93/15 | Nucl.Phys. B418 (1994) 494-528 | 10.1016/0550-3213(94)90528-2 | null | hep-th hep-ph | null | Chiral lagrangians describing the interactions of Goldstone bosons in a
theory possessing spontaneous symmetry breaking are effective,
non-renormalizable field theories in four dimensions. Yet, in a momentum
expansion one is able to extract definite, testable predictions from
perturbation theory. These techniques have yielded in recent years a wealth of
information on many problems where the physics of Goldstone bosons plays a
crucial role, but theoretical issues concerning chiral perturbation theory
remain, to this date, poorly treated in the literature. We present here a
rather comprehensive analysis of the regularization and renormalization
ambiguities appearing in chiral perturbation theory at the one loop level. We
discuss first on the relevance of dealing with tadpoles properly. We
demonstrate that Ward identities severely constrain the choice of regulators to
the point of enforcing unique, unambiguous results in chiral perturbation
theory at the one-loop level for any observable which is renormalization-group
invariant. We comment on the physical implications of these results and on
several possible regulating methods that may be of use for some applications.
| [
{
"created": "Tue, 13 Jul 1993 12:27:33 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Espriu",
"D.",
""
],
[
"Matias",
"J.",
""
]
] | Chiral lagrangians describing the interactions of Goldstone bosons in a theory possessing spontaneous symmetry breaking are effective, non-renormalizable field theories in four dimensions. Yet, in a momentum expansion one is able to extract definite, testable predictions from perturbation theory. These techniques have yielded in recent years a wealth of information on many problems where the physics of Goldstone bosons plays a crucial role, but theoretical issues concerning chiral perturbation theory remain, to this date, poorly treated in the literature. We present here a rather comprehensive analysis of the regularization and renormalization ambiguities appearing in chiral perturbation theory at the one loop level. We discuss first on the relevance of dealing with tadpoles properly. We demonstrate that Ward identities severely constrain the choice of regulators to the point of enforcing unique, unambiguous results in chiral perturbation theory at the one-loop level for any observable which is renormalization-group invariant. We comment on the physical implications of these results and on several possible regulating methods that may be of use for some applications. |
hep-th/0203150 | Freydoon Mansouri | Freydoon Mansouri | Non-Vanishing Cosmological Constant $\Lambda$, Phase Transitions, And
$\Lambda$-Dependence Of High Energy Processes | 11 pages; UCTP101.02; last section revised; the version to appear in
Physics Letters B | Phys.Lett. B538 (2002) 239-245 | 10.1016/S0370-2693(02)02022-1 | null | hep-th astro-ph hep-ph | null | It is pointed out that a collider experiment involves a local contribution to
the energy-momentum tensor, a circumstance which not a common feature of the
current state of the Universe at large characterized by the cosmological
constant $\Lambda_0$. This contribution may be viewed as a change in the
structure of space-time from its large scale form governed by $\Lambda_0$ to
one governed by a $\Lambda$ peculiar to the scale of the experiment. Possible
consequences of this effect are explored by exploiting the asymptotic symmetry
of space-time for non-vanishing $\Lambda$ and its relation to vacuum energy.
| [
{
"created": "Sat, 16 Mar 2002 19:49:54 GMT",
"version": "v1"
},
{
"created": "Tue, 28 May 2002 17:44:07 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Mansouri",
"Freydoon",
""
]
] | It is pointed out that a collider experiment involves a local contribution to the energy-momentum tensor, a circumstance which not a common feature of the current state of the Universe at large characterized by the cosmological constant $\Lambda_0$. This contribution may be viewed as a change in the structure of space-time from its large scale form governed by $\Lambda_0$ to one governed by a $\Lambda$ peculiar to the scale of the experiment. Possible consequences of this effect are explored by exploiting the asymptotic symmetry of space-time for non-vanishing $\Lambda$ and its relation to vacuum energy. |
1702.08218 | Evgeny Skvortsov D | A.A. Sharapov and E.D. Skvortsov | Formal Higher-Spin Theories and Kontsevich-Shoikhet-Tsygan Formality | typos fixed, many comments added, 36 pages + 20 pages of Appendices,
3 figures | null | 10.1016/j.nuclphysb.2017.06.005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The formal algebraic structures that govern higher-spin theories within the
unfolded approach turn out to be related to an extension of the Kontsevich
Formality, namely, the Shoikhet-Tsygan Formality. Effectively, this allows one
to construct the Hochschild cocycles of higher-spin algebras that make the
interaction vertices. As an application of these results we construct a family
of Vasiliev-like equations that generate the Hochschild cocycles with $sp(2n)$
symmetry from the corresponding cycles. A particular case of $sp(4)$ may be
relevant for the on-shell action of the $4d$ theory. We also give the exact
equations that describe propagation of higher-spin fields on a background of
their own. The consistency of formal higher-spin theories turns out to have a
purely geometric interpretation: there exists a certain symplectic invariant
associated to cutting a polytope into simplices, namely, the Alexander-Spanier
cocycle.
| [
{
"created": "Mon, 27 Feb 2017 10:10:50 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2017 11:34:19 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Sharapov",
"A. A.",
""
],
[
"Skvortsov",
"E. D.",
""
]
] | The formal algebraic structures that govern higher-spin theories within the unfolded approach turn out to be related to an extension of the Kontsevich Formality, namely, the Shoikhet-Tsygan Formality. Effectively, this allows one to construct the Hochschild cocycles of higher-spin algebras that make the interaction vertices. As an application of these results we construct a family of Vasiliev-like equations that generate the Hochschild cocycles with $sp(2n)$ symmetry from the corresponding cycles. A particular case of $sp(4)$ may be relevant for the on-shell action of the $4d$ theory. We also give the exact equations that describe propagation of higher-spin fields on a background of their own. The consistency of formal higher-spin theories turns out to have a purely geometric interpretation: there exists a certain symplectic invariant associated to cutting a polytope into simplices, namely, the Alexander-Spanier cocycle. |
2108.02553 | Damian Musk | D. R. Musk | On the Behavior of Superconductors of High Critical Temperatures Outside
Schwarzchild Black Holes in AdS Space | 14 pages, 12 figures | null | 10.13140/RG.2.2.15896.93447 | null | hep-th cond-mat.supr-con gr-qc | http://creativecommons.org/licenses/by/4.0/ | The physical analysis of condensed matter systems can be difficult due to
strong coupling, but the mathematical context of the AdS/CFT correspondence
enables non-perturbative descriptions in terms of dual weakly coupled systems.
This brief review explores the holographic condensed matter applications of
AdS/CFT, particularly through the lens of a high-$T_c$ superconductor outside a
Schwarzchild black hole in Anti-de Sitter space. A simple two-dimensional
electron condensate Lagrangian is examined first, as employed by G. T.
Horowitz, later used to calculate a frequency-dependent conductivity and a free
energy analysis; the asymptotics of both in this procedure, as examined by P.
S\"aterskog, are also reviewed. An extended Lagrangian with a higher order
Maxwell term is assessed thereafter, with a conductivity peak obtained at low
frequencies described well by the Drude model in certain limits. The behavior
of Drude model parameters in these limits is also investigated.
| [
{
"created": "Wed, 4 Aug 2021 05:13:14 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Oct 2022 18:20:04 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Nov 2022 00:22:08 GMT",
"version": "v3"
}
] | 2022-11-16 | [
[
"Musk",
"D. R.",
""
]
] | The physical analysis of condensed matter systems can be difficult due to strong coupling, but the mathematical context of the AdS/CFT correspondence enables non-perturbative descriptions in terms of dual weakly coupled systems. This brief review explores the holographic condensed matter applications of AdS/CFT, particularly through the lens of a high-$T_c$ superconductor outside a Schwarzchild black hole in Anti-de Sitter space. A simple two-dimensional electron condensate Lagrangian is examined first, as employed by G. T. Horowitz, later used to calculate a frequency-dependent conductivity and a free energy analysis; the asymptotics of both in this procedure, as examined by P. S\"aterskog, are also reviewed. An extended Lagrangian with a higher order Maxwell term is assessed thereafter, with a conductivity peak obtained at low frequencies described well by the Drude model in certain limits. The behavior of Drude model parameters in these limits is also investigated. |
hep-th/9609194 | Horacio A. Falomir | H. Falomir, R. E. Gamboa Sarav\'i, E. M. Santangelo | Dirac Operator on a disk with global boundary conditions | RevTeX, 11 pages. References added | J.Math.Phys. 39 (1998) 532-544 | 10.1063/1.532338 | LA PLATA-TH 96/17 | hep-th | null | We compute the functional determinant for a Dirac operator in the presence of
an Abelian gauge field on a bidimensional disk, under global boundary
conditions of the type introduced by Atiyah-Patodi-Singer. We also discuss the
connection between our result and the index theorem.
| [
{
"created": "Tue, 24 Sep 1996 21:41:26 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Oct 1996 20:00:56 GMT",
"version": "v2"
}
] | 2016-08-15 | [
[
"Falomir",
"H.",
""
],
[
"Saraví",
"R. E. Gamboa",
""
],
[
"Santangelo",
"E. M.",
""
]
] | We compute the functional determinant for a Dirac operator in the presence of an Abelian gauge field on a bidimensional disk, under global boundary conditions of the type introduced by Atiyah-Patodi-Singer. We also discuss the connection between our result and the index theorem. |
hep-th/0411214 | Ralf Hofmann | Ulrich Herbst and Ralf Hofmann | Asymptotic Freedom and Compositeness | version 4: slight changes in text, change of title | ISRN High Energy Physics, vol. 2012, Article ID 373121 (2012) | null | HD-THEP-04-46 | hep-th | null | We compute the phase and the modulus of an energy- and pressure-free,
composite, adjoint, and inert field $\phi$ in an SU(2) Yang-Mills theory at
large temperatures. This field is physically relevant in describing part of the
ground-state structure and the quasiparticle masses of excitations. The field
$\phi$ possesses nontrivial $S^1$-winding on the group manifold $S^3$. Even at
asymptotically high temperatures, where the theory reaches its Stefan-Boltzmann
limit, the field $\phi$, though strongly power-suppressed, is conceptually
relevant: its presence resolves the infrared problem of thermal perturbation
theory.
| [
{
"created": "Tue, 23 Nov 2004 16:02:47 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Feb 2005 11:29:54 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Apr 2005 17:17:57 GMT",
"version": "v3"
},
{
"created": "Fri, 30 Sep 2005 10:59:04 GMT",
"version": "v4"
}
] | 2012-03-07 | [
[
"Herbst",
"Ulrich",
""
],
[
"Hofmann",
"Ralf",
""
]
] | We compute the phase and the modulus of an energy- and pressure-free, composite, adjoint, and inert field $\phi$ in an SU(2) Yang-Mills theory at large temperatures. This field is physically relevant in describing part of the ground-state structure and the quasiparticle masses of excitations. The field $\phi$ possesses nontrivial $S^1$-winding on the group manifold $S^3$. Even at asymptotically high temperatures, where the theory reaches its Stefan-Boltzmann limit, the field $\phi$, though strongly power-suppressed, is conceptually relevant: its presence resolves the infrared problem of thermal perturbation theory. |
hep-th/9311137 | Peter Bouwknegt | P. Bouwknegt, J. Mccarthy and K. Pilch | On the W-gravity spectrum and its G-structure | 14 pages, Typeset in LaTeX (with amssym.def input), query removed
such that ps-file can be automatically generated | Published in the proceedings of the workshop ``Strings, Conformal
Models and Topological Field Theory,'' eds. L. Baulieu et al., Cargese, May
'93, (Plenum Press, New York, 1995), pp. 59-70 | null | USC-93/27, ADP-93-226/M21 | hep-th | null | We present results for the BRST cohomology of $\cW[\bfg]$ minimal models
coupled to $\cW[\bfg]$ gravity, as well as scalar fields coupled to $\cW[\bfg]$
gravity. In the latter case we explore an intricate relation to the (twisted)
$\bfg$ cohomology of a product of two twisted Fock modules.
| [
{
"created": "Tue, 23 Nov 1993 04:27:05 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Dec 1995 01:40:47 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Bouwknegt",
"P.",
""
],
[
"Mccarthy",
"J.",
""
],
[
"Pilch",
"K.",
""
]
] | We present results for the BRST cohomology of $\cW[\bfg]$ minimal models coupled to $\cW[\bfg]$ gravity, as well as scalar fields coupled to $\cW[\bfg]$ gravity. In the latter case we explore an intricate relation to the (twisted) $\bfg$ cohomology of a product of two twisted Fock modules. |
2103.12652 | Colin Sterckx | Adolfo Guarino, Colin Sterckx | S-folds and holographic RG flows on the D3-brane | 43 pages, 21 figures. v2: minor corrections, to appear in JHEP | null | 10.1007/JHEP06(2021)051 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Type IIB S-folds of the form $\,\textrm{AdS}_{4} \times \textrm{S}^1 \times
\textrm{S}^5\,$ are conjectured to correspond to new strongly coupled
three-dimensional CFT's on a localised interface of $\,\textrm{SYM}_{4}\,$. In
this work we construct holographic RG flows on the D3-brane that generically
connect anisotropic deformations of $\,\textrm{SYM}_{4}\,$ in the UV to various
S-fold $\textrm{CFT}$'s in the IR with different amounts of supersymmetry and
flavour symmetries. Examples of holographic RG flows between \mbox{S-fold}
CFT's are also presented. Lastly a geometric interpretation of axion
deformations is provided in terms of monodromies on the internal
$\,\textrm{S}^{5}\,$ when moving around the $\,\textrm{S}^{1}$. Special
attention is paid to the monodromy-induced patterns of symmetry breaking as
classified by the mapping torus $T_{h}(\textrm{S}^5)$.
| [
{
"created": "Tue, 23 Mar 2021 16:11:22 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2021 14:22:02 GMT",
"version": "v2"
}
] | 2021-06-30 | [
[
"Guarino",
"Adolfo",
""
],
[
"Sterckx",
"Colin",
""
]
] | Type IIB S-folds of the form $\,\textrm{AdS}_{4} \times \textrm{S}^1 \times \textrm{S}^5\,$ are conjectured to correspond to new strongly coupled three-dimensional CFT's on a localised interface of $\,\textrm{SYM}_{4}\,$. In this work we construct holographic RG flows on the D3-brane that generically connect anisotropic deformations of $\,\textrm{SYM}_{4}\,$ in the UV to various S-fold $\textrm{CFT}$'s in the IR with different amounts of supersymmetry and flavour symmetries. Examples of holographic RG flows between \mbox{S-fold} CFT's are also presented. Lastly a geometric interpretation of axion deformations is provided in terms of monodromies on the internal $\,\textrm{S}^{5}\,$ when moving around the $\,\textrm{S}^{1}$. Special attention is paid to the monodromy-induced patterns of symmetry breaking as classified by the mapping torus $T_{h}(\textrm{S}^5)$. |
1709.03075 | Emauele Latini | R. Fioresi, E. Latini, M. A. Lledo, F. A. Nadal | The Segre embedding of the quantum conformal superspace | 63 pages | null | null | IFIC/17-39 | hep-th math-ph math.MP math.QA math.RA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper study the quantum deformation of the superflag Fl(2|0,
2|1,4|1), and its big cell, describing the complex conformal and Minkowski
superspaces respectively. In particular, we realize their projective embedding
via a generalization to the super world of the Segre map and we use it to
construct a quantum deformation of the super line bundle realizing this
embedding. This strategy allows us to obtain a description of the quantum
coordinate superring of the superflag that is then naturally equipped with a
coaction of the quantum complex conformal supergroup SL_q(4|1).
| [
{
"created": "Sun, 10 Sep 2017 09:22:19 GMT",
"version": "v1"
}
] | 2017-09-13 | [
[
"Fioresi",
"R.",
""
],
[
"Latini",
"E.",
""
],
[
"Lledo",
"M. A.",
""
],
[
"Nadal",
"F. A.",
""
]
] | In this paper study the quantum deformation of the superflag Fl(2|0, 2|1,4|1), and its big cell, describing the complex conformal and Minkowski superspaces respectively. In particular, we realize their projective embedding via a generalization to the super world of the Segre map and we use it to construct a quantum deformation of the super line bundle realizing this embedding. This strategy allows us to obtain a description of the quantum coordinate superring of the superflag that is then naturally equipped with a coaction of the quantum complex conformal supergroup SL_q(4|1). |
1011.0801 | Hossein Farajollahi | H. Farajollahi, A. Ravanpak | The curvaton scenario in Brane cosmology: model parameters and their
constraints | 16 pages, 4 figures | Can. J. Phys. 88:939-945,2010 | 10.1139/P10-091 | null | hep-th astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied the curvaton scenario in brane world cosmology in an
intermediate inflationary scenario. This approach has allowed us to find some
constraints on different parameters that appear in the model.
| [
{
"created": "Wed, 3 Nov 2010 05:37:33 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2011 07:03:29 GMT",
"version": "v2"
}
] | 2011-06-09 | [
[
"Farajollahi",
"H.",
""
],
[
"Ravanpak",
"A.",
""
]
] | We have studied the curvaton scenario in brane world cosmology in an intermediate inflationary scenario. This approach has allowed us to find some constraints on different parameters that appear in the model. |
hep-th/9506129 | Peter Jarvis | P D Jarvis and I Tsohantjis | Covariant scalar representation of $iosp(d,2/2)$ quantization of the
scalar relativistic particle | 16 pages Latex | J.Phys.A29:1245-1260,1996 | 10.1088/0305-4470/29/6/011 | UTAS-PHYS-95-17 | hep-th | null | A covariant scalar representation of $iosp(d,2/2)$ is constructed and
analysed in comparison with existing methods for the quantization of the scalar
relativistic particle. It is found that, with appropriately defined
wavefunctions, this $iosp(d,2/2)$ produced representation can be identified
with the state space arising from the canonical BFV-BRST quantization of the
modular invariant, unoriented scalar particle (or antiparticle) with admissible
gauge fixing conditions. For this model, the cohomological determination of
physical states can thus be obtained purely from the representation theory of
the $iosp(d,2/2)$ algebra.
| [
{
"created": "Tue, 20 Jun 1995 03:41:18 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Jarvis",
"P D",
""
],
[
"Tsohantjis",
"I",
""
]
] | A covariant scalar representation of $iosp(d,2/2)$ is constructed and analysed in comparison with existing methods for the quantization of the scalar relativistic particle. It is found that, with appropriately defined wavefunctions, this $iosp(d,2/2)$ produced representation can be identified with the state space arising from the canonical BFV-BRST quantization of the modular invariant, unoriented scalar particle (or antiparticle) with admissible gauge fixing conditions. For this model, the cohomological determination of physical states can thus be obtained purely from the representation theory of the $iosp(d,2/2)$ algebra. |
hep-th/9207081 | Kanehisa Takasaki | Kanehisa Takasaki and Takashi Takebe | Quasi-classical limit of KP hierarchy, W-symmetries and free fermions | 11 pages, KUCP-0050/92 (references are updated) | null | null | null | hep-th | null | This paper deals with the dispersionless KP hierarchy from the point of view
of quasi-classical limit. Its Lax formalism, W-infinity symmetries and general
solutions are shown to be reproduced from their counterparts in the KP
hierarchy in the limit of $\hbar \to 0$. Free fermions and bosonized vertex
operators play a key role in the description of W-infinity symmetries and
general solutions, which is technically very similar to a recent free fermion
formalism of $c=1$ matrix models.
| [
{
"created": "Fri, 24 Jul 1992 08:28:55 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 1993 02:27:23 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Takasaki",
"Kanehisa",
""
],
[
"Takebe",
"Takashi",
""
]
] | This paper deals with the dispersionless KP hierarchy from the point of view of quasi-classical limit. Its Lax formalism, W-infinity symmetries and general solutions are shown to be reproduced from their counterparts in the KP hierarchy in the limit of $\hbar \to 0$. Free fermions and bosonized vertex operators play a key role in the description of W-infinity symmetries and general solutions, which is technically very similar to a recent free fermion formalism of $c=1$ matrix models. |
0811.4031 | Saharian | A.A. Saharian | Casimir densities in brane models with compact internal spaces | 12 pages, contribution to anniversary volume on occasion of 50th
birthday by Prof. S.D. Odintsov | The Problems of Modern Cosmology, A volume in honour of Prof. S.D.
Odintsov on the occasion of his 50th birthday, Tomsk, 2009, pp. 284-294. | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the Wightman function, the vacuum expectation values of the
field squared and the energy-momentum tensor for a massive scalar field with
general curvature coupling parameter subject to Robin boundary conditions on
two codimension one parallel branes located on $(D+1)$-dimensional background
spacetime $AdS_{D_{1}+1}\times \Sigma $ with a warped internal space $\Sigma $.
The general case of different Robin coefficients on separate branes is
considered. Unlike to the purely AdS bulk, the vacuum expectation values
induced by a single brane, in addition to the distance from the brane, depends
also on the position of the brane in the bulk. The brane induced parts in these
expectation values vanish when the brane position tends to the AdS horizon or
AdS boundary. For strong gravitational fields corresponding to large values of
the AdS energy scale, the both single brane and interference parts of the
expectation values integrated over the internal space are exponentially
suppressed. An application to the higher dimensional generalization of the
Randall-Sundrum brane model with arbitrary mass terms on the branes is
discussed. For large distances between the branes the induced surface densities
give rise to an exponentially suppressed cosmological constant on the brane.
| [
{
"created": "Tue, 25 Nov 2008 08:35:51 GMT",
"version": "v1"
}
] | 2009-05-06 | [
[
"Saharian",
"A. A.",
""
]
] | We investigate the Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor for a massive scalar field with general curvature coupling parameter subject to Robin boundary conditions on two codimension one parallel branes located on $(D+1)$-dimensional background spacetime $AdS_{D_{1}+1}\times \Sigma $ with a warped internal space $\Sigma $. The general case of different Robin coefficients on separate branes is considered. Unlike to the purely AdS bulk, the vacuum expectation values induced by a single brane, in addition to the distance from the brane, depends also on the position of the brane in the bulk. The brane induced parts in these expectation values vanish when the brane position tends to the AdS horizon or AdS boundary. For strong gravitational fields corresponding to large values of the AdS energy scale, the both single brane and interference parts of the expectation values integrated over the internal space are exponentially suppressed. An application to the higher dimensional generalization of the Randall-Sundrum brane model with arbitrary mass terms on the branes is discussed. For large distances between the branes the induced surface densities give rise to an exponentially suppressed cosmological constant on the brane. |
hep-th/0309253 | Anton Zabrodin | P. Wiegmann and A. Zabrodin | Large N expansion for normal and complex matrix ensembles | 16 pages | null | null | ITEP-TH-49/03 | hep-th cond-mat.mes-hall | null | We present the first two leading terms of the 1/N (genus) expansion of the
free energy for ensembles of normal and complex random matrices. The results
are expressed through the support of eigenvalues (assumed to be a connected
domain in the complex plane). In particular, the subleading (genus-1) term is
given by the regularized determinant of the Laplace operator in the
complementary domain with the Dirichlet boundary conditions. An explicit
expression of the genus expansion through harmonic moments of the domain gives
some new representations of the mathematical objects related to the Dirichlet
boundary problem, conformal analysis and spectral geometry.
| [
{
"created": "Sun, 28 Sep 2003 16:02:37 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Wiegmann",
"P.",
""
],
[
"Zabrodin",
"A.",
""
]
] | We present the first two leading terms of the 1/N (genus) expansion of the free energy for ensembles of normal and complex random matrices. The results are expressed through the support of eigenvalues (assumed to be a connected domain in the complex plane). In particular, the subleading (genus-1) term is given by the regularized determinant of the Laplace operator in the complementary domain with the Dirichlet boundary conditions. An explicit expression of the genus expansion through harmonic moments of the domain gives some new representations of the mathematical objects related to the Dirichlet boundary problem, conformal analysis and spectral geometry. |
1202.1827 | Alexios P. Polychronakos | Alexios P. Polychronakos | Two-dimensional Born-Infeld gauge theory: spectrum, string picture and
large-N phase transition | 19 pages | Physical Review D 85, 105024 (2012) | 10.1103/PhysRevD.85.105024 | CCNY-HEP-12/3 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze U(N) Born-Infeld gauge theory in two spacetime dimensions. We
derive the exact energy spectrum on the circle and show that it reduces to N
relativistic fermions on a dual space. This contrasts to the Yang-Mills case
that reduces to nonrelativistic fermions. The theory admits a string theory
interpretation, analogous to the one for ordinary Yang-Mills, but with higher
order string interactions. We also demonstrate that the partition function on
the sphere exhibits a large-N phase transition in the area and calculate the
critical area. The limit in which the dimensionless coupling of the theory goes
to zero corresponds to massless fermions, admits a perturbatively exact free
string interpretation and exhibits no phase transition.
| [
{
"created": "Wed, 8 Feb 2012 21:00:15 GMT",
"version": "v1"
}
] | 2014-04-24 | [
[
"Polychronakos",
"Alexios P.",
""
]
] | We analyze U(N) Born-Infeld gauge theory in two spacetime dimensions. We derive the exact energy spectrum on the circle and show that it reduces to N relativistic fermions on a dual space. This contrasts to the Yang-Mills case that reduces to nonrelativistic fermions. The theory admits a string theory interpretation, analogous to the one for ordinary Yang-Mills, but with higher order string interactions. We also demonstrate that the partition function on the sphere exhibits a large-N phase transition in the area and calculate the critical area. The limit in which the dimensionless coupling of the theory goes to zero corresponds to massless fermions, admits a perturbatively exact free string interpretation and exhibits no phase transition. |
hep-th/0503088 | Olaf Hohm | Olaf Hohm, Henning Samtleben | Effective Actions for Massive Kaluza-Klein States on AdS_3 x S^3 x S^3 | 31 pages, v2: minor changes | JHEP 0505 (2005) 027 | 10.1088/1126-6708/2005/05/027 | null | hep-th | null | We construct the effective supergravity actions for the lowest massive
Kaluza-Klein states on the supersymmetric background AdS_3 x S^3 x S^3. In
particular, we describe the coupling of the supergravity multiplet to the
lowest massive spin-3/2 multiplet which contains 256 physical degrees of
freedom and includes the moduli of the theory. The effective theory is realized
as the broken phase of a particular gauging of the maximal three-dimensional
supergravity with gauge group SO(4) x SO(4). Its ground state breaks half of
the supersymmetries leading to 8 massive gravitinos acquiring mass in a super
Higgs effect. The holographic boundary theory realizes the large N=(4,4)
superconformal symmetry.
| [
{
"created": "Thu, 10 Mar 2005 14:48:06 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Apr 2005 15:36:25 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Hohm",
"Olaf",
""
],
[
"Samtleben",
"Henning",
""
]
] | We construct the effective supergravity actions for the lowest massive Kaluza-Klein states on the supersymmetric background AdS_3 x S^3 x S^3. In particular, we describe the coupling of the supergravity multiplet to the lowest massive spin-3/2 multiplet which contains 256 physical degrees of freedom and includes the moduli of the theory. The effective theory is realized as the broken phase of a particular gauging of the maximal three-dimensional supergravity with gauge group SO(4) x SO(4). Its ground state breaks half of the supersymmetries leading to 8 massive gravitinos acquiring mass in a super Higgs effect. The holographic boundary theory realizes the large N=(4,4) superconformal symmetry. |
hep-th/0305172 | Rausch de Traubenberg | N. Mohammedi, G. Moultaka and M. Rausch de Traubenberg | Field Theoretic Realizations for Cubic Supersymmetry | LaTex, 25 pages use macro amsmath and amsfonts.Section 5 slightly
extended, some references corrected | Int.J.Mod.Phys.A19:5585-5608,2004 | 10.1142/S0217751X04019913 | PM/03-10 | hep-th math-ph math.MP | null | We consider a four dimensional space-time symmetry which is a non trivial
extension of the Poincar\'e algebra, different from supersymmetry and not
contradicting {\sl a priori} the well-known no-go theorems. We investigate some
field theoretical aspects of this new symmetry and construct invariant actions
for non-interacting fermion and non-interacting boson multiplets. In the case
of the bosonic multiplet, where two-form fields appear naturally, we find that
this symmetry is compatible with a local U(1) gauge symmetry, only when the
latter is gauge fixed by a `t Hooft-Feynman term.
| [
{
"created": "Tue, 20 May 2003 11:55:33 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 2003 13:23:44 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Mohammedi",
"N.",
""
],
[
"Moultaka",
"G.",
""
],
[
"de Traubenberg",
"M. Rausch",
""
]
] | We consider a four dimensional space-time symmetry which is a non trivial extension of the Poincar\'e algebra, different from supersymmetry and not contradicting {\sl a priori} the well-known no-go theorems. We investigate some field theoretical aspects of this new symmetry and construct invariant actions for non-interacting fermion and non-interacting boson multiplets. In the case of the bosonic multiplet, where two-form fields appear naturally, we find that this symmetry is compatible with a local U(1) gauge symmetry, only when the latter is gauge fixed by a `t Hooft-Feynman term. |
hep-th/0609037 | Seungjoon Hyun | Seungjoon Hyun and Sang-Heon Yi | Non-compact Topological Branes on Conifold | 32 pages, 9 figures, a reference added, typos fixed | JHEP0611:075,2006 | 10.1088/1126-6708/2006/11/075 | null | hep-th | null | We consider non-compact branes in topological string theories on a class of
Calabi-Yau spaces including the resolved conifold and its mirror. We compute
the amplitudes of the insertion of non-compact Lagrangian branes in the A-model
on the resolved conifold in the context of the topological vertex as well as
the melting crystal picture. They all agree with each other and also agree with
the results from Chern-Simons theory, supporting the large N duality. We find
that they obey the Schr\"odinger equation confirming the wavefunction behavior
of the amplitudes. We also compute the amplitudes of the non-compact B-branes
in the DV matrix model which arises as a B-model open string field theory on
the mirror manifold of the deformed conifold. We take the large N duality to
consider the B-model on the mirror of the resolved conifold and confirm the
wave function behavior of this amplitude. We find appropriate descriptions of
non-compact branes in each model, which give complete agreements among those
amplitudes and clarify the salient features including the role of symmetries
toward these agreements.
| [
{
"created": "Tue, 5 Sep 2006 13:32:37 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Dec 2006 12:32:17 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Yi",
"Sang-Heon",
""
]
] | We consider non-compact branes in topological string theories on a class of Calabi-Yau spaces including the resolved conifold and its mirror. We compute the amplitudes of the insertion of non-compact Lagrangian branes in the A-model on the resolved conifold in the context of the topological vertex as well as the melting crystal picture. They all agree with each other and also agree with the results from Chern-Simons theory, supporting the large N duality. We find that they obey the Schr\"odinger equation confirming the wavefunction behavior of the amplitudes. We also compute the amplitudes of the non-compact B-branes in the DV matrix model which arises as a B-model open string field theory on the mirror manifold of the deformed conifold. We take the large N duality to consider the B-model on the mirror of the resolved conifold and confirm the wave function behavior of this amplitude. We find appropriate descriptions of non-compact branes in each model, which give complete agreements among those amplitudes and clarify the salient features including the role of symmetries toward these agreements. |
1912.03087 | I. T. Drummond | I. T. Drummond | Lorentz Symmetry Violation in QCD and the Frustration of Asymptotic
Freedom | 20 pages, 8 figures, further references, minor text changes | Phys. Rev. D 101, 085004 (2020) | 10.1103/PhysRevD.101.085004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of Lorentz symmetry violation (LSV) on the behaviour at
high energy of SU(N) gauge theory with quarks in the fundamental
representation. The approach is similar to that for QED treated in a previous
paper. In contrast to QED, standard Lorentz invariant QCD is asymptotically
free. Our aim is to explore the structure of the renormalisation group at high
energy and hence weak coupling without requiring the Lorentz symmetry breaking
to be small. The simplest type of LSV leaves the theory invariant under a
subgroup of the Lorentz group that preserves a (time-like) 4-vector. We examine
this case in detail and find that asymptotic freedom is frustrated. That is, at
sufficiently high energy the running coupling constant attains a minimum value
before increasing again, while the LSV parameter increases without bound.
| [
{
"created": "Fri, 6 Dec 2019 12:40:47 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Dec 2019 15:44:38 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Dec 2019 13:36:36 GMT",
"version": "v3"
}
] | 2020-04-15 | [
[
"Drummond",
"I. T.",
""
]
] | We study the effect of Lorentz symmetry violation (LSV) on the behaviour at high energy of SU(N) gauge theory with quarks in the fundamental representation. The approach is similar to that for QED treated in a previous paper. In contrast to QED, standard Lorentz invariant QCD is asymptotically free. Our aim is to explore the structure of the renormalisation group at high energy and hence weak coupling without requiring the Lorentz symmetry breaking to be small. The simplest type of LSV leaves the theory invariant under a subgroup of the Lorentz group that preserves a (time-like) 4-vector. We examine this case in detail and find that asymptotic freedom is frustrated. That is, at sufficiently high energy the running coupling constant attains a minimum value before increasing again, while the LSV parameter increases without bound. |
2010.05960 | ChunJun Cao | ChunJun Cao and Brad Lackey | Approximate Bacon-Shor Code and Holography | Updated to match the published version | null | 10.1007/JHEP05(2021)127 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explicitly construct a class of holographic quantum error correction codes
with non-trivial centers in the code subalgebra. Specifically, we use the
Bacon-Shor codes and perfect tensors to construct a gauge code (or a stabilizer
code with gauge-fixing), which we call the holographic hybrid code. This code
admits a local log-depth encoding/decoding circuit, and can be represented as a
holographic tensor network which satisfies an analog of the Ryu-Takayanagi
formula and reproduces features of the sub-region duality. We then construct
approximate versions of the holographic hybrid codes by "skewing" the code
subspace, where the size of skewing is analogous to the size of the
gravitational constant in holography. These approximate hybrid codes are not
necessarily stabilizer codes, but they can be expressed as the superposition of
holographic tensor networks that are stabilizer codes. For such constructions,
different logical states, representing different bulk matter content, can
"back-react" on the emergent geometry, resembling a key feature of gravity. The
locality of the bulk degrees of freedom becomes subspace-dependent and
approximate. Such subspace-dependence is manifest from the point of view of the
"entanglement wedge" and bulk operator reconstruction from the boundary. Exact
complementary error correction breaks down for certain bipartition of the
boundary degrees of freedom; however, a limited, state-dependent form is
preserved for particular subspaces. We also construct an example where the
connected two-point correlation functions can have a power-law decay. Coupled
with known constraints from holography, a weakly back-reacting bulk also forces
these skewed tensor network models to the "large $N$ limit" where they are
built by concatenating a large $N$ number of copies.
| [
{
"created": "Mon, 12 Oct 2020 18:39:09 GMT",
"version": "v1"
},
{
"created": "Tue, 4 May 2021 15:33:22 GMT",
"version": "v2"
}
] | 2021-06-02 | [
[
"Cao",
"ChunJun",
""
],
[
"Lackey",
"Brad",
""
]
] | We explicitly construct a class of holographic quantum error correction codes with non-trivial centers in the code subalgebra. Specifically, we use the Bacon-Shor codes and perfect tensors to construct a gauge code (or a stabilizer code with gauge-fixing), which we call the holographic hybrid code. This code admits a local log-depth encoding/decoding circuit, and can be represented as a holographic tensor network which satisfies an analog of the Ryu-Takayanagi formula and reproduces features of the sub-region duality. We then construct approximate versions of the holographic hybrid codes by "skewing" the code subspace, where the size of skewing is analogous to the size of the gravitational constant in holography. These approximate hybrid codes are not necessarily stabilizer codes, but they can be expressed as the superposition of holographic tensor networks that are stabilizer codes. For such constructions, different logical states, representing different bulk matter content, can "back-react" on the emergent geometry, resembling a key feature of gravity. The locality of the bulk degrees of freedom becomes subspace-dependent and approximate. Such subspace-dependence is manifest from the point of view of the "entanglement wedge" and bulk operator reconstruction from the boundary. Exact complementary error correction breaks down for certain bipartition of the boundary degrees of freedom; however, a limited, state-dependent form is preserved for particular subspaces. We also construct an example where the connected two-point correlation functions can have a power-law decay. Coupled with known constraints from holography, a weakly back-reacting bulk also forces these skewed tensor network models to the "large $N$ limit" where they are built by concatenating a large $N$ number of copies. |
2302.05422 | Robert Shrock | Robert Shrock | Study of the Ultraviolet Behavior of an O($N$) $|\vec \phi|^6$ Theory in
$d=3$ Dimensions | 10 pages, latex | Phys. Rev. D 107, 096009 (2023) | 10.1103/PhysRevD.107.096009 | YITP-SB-2023-02 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study the ultraviolet (UV) behavior of an O($N$) $|\vec \phi |^6$ theory
in $d=3$ spacetime dimensions, focusing on the question of the range in $N$
over which the perturbative beta function exhibits robust evidence of a UV zero
in the $|\vec \phi |^6$ coupling, $g$. The four-loop $(4\ell)$ beta function is
known to have a (scheme-independent) UV zero at $g=g_{_{UV,4\ell}}$, which is
reliably calculable for large $N$. For our analysis we use the six-loop beta
function calculated in the minimal subtraction scheme. We find that this
six-loop beta function has a UV zero, $g_{_{UV,6\ell}}$, if $N > N_c$, where
$N_c \simeq 796$, and we calculate $g_{_{UV,6\ell}}$. To investigate the
reliability of the result in the region of $N \gtrsim N_c$, we apply three
methods: (i) calculation of the fractional difference between $g_{_{UV,4\ell}}$
and $g_{_{UV,6\ell}}$, (ii) a Pad\'e approximant, and (iii) an assessment of
scheme dependence. Our results provide quantitative measures of the range of
$N$ over which the six-loop beta function has a UV zero and of the $1/N$
corrections to the value of $g$ at the UV zero for large but finite $N$. If one
imposes a benchmark requirement that the fractional difference between
$g_{_{UV,4\ell}}$ and $g_{_{UV,6\ell}}$ must be less than 15 \%, then our
results show that this requirement is satisfied for $N \gtrsim 2 \times 10^3$.
The possible role of nonperturbative effects is also noted.
| [
{
"created": "Fri, 10 Feb 2023 18:40:37 GMT",
"version": "v1"
}
] | 2023-05-16 | [
[
"Shrock",
"Robert",
""
]
] | We study the ultraviolet (UV) behavior of an O($N$) $|\vec \phi |^6$ theory in $d=3$ spacetime dimensions, focusing on the question of the range in $N$ over which the perturbative beta function exhibits robust evidence of a UV zero in the $|\vec \phi |^6$ coupling, $g$. The four-loop $(4\ell)$ beta function is known to have a (scheme-independent) UV zero at $g=g_{_{UV,4\ell}}$, which is reliably calculable for large $N$. For our analysis we use the six-loop beta function calculated in the minimal subtraction scheme. We find that this six-loop beta function has a UV zero, $g_{_{UV,6\ell}}$, if $N > N_c$, where $N_c \simeq 796$, and we calculate $g_{_{UV,6\ell}}$. To investigate the reliability of the result in the region of $N \gtrsim N_c$, we apply three methods: (i) calculation of the fractional difference between $g_{_{UV,4\ell}}$ and $g_{_{UV,6\ell}}$, (ii) a Pad\'e approximant, and (iii) an assessment of scheme dependence. Our results provide quantitative measures of the range of $N$ over which the six-loop beta function has a UV zero and of the $1/N$ corrections to the value of $g$ at the UV zero for large but finite $N$. If one imposes a benchmark requirement that the fractional difference between $g_{_{UV,4\ell}}$ and $g_{_{UV,6\ell}}$ must be less than 15 \%, then our results show that this requirement is satisfied for $N \gtrsim 2 \times 10^3$. The possible role of nonperturbative effects is also noted. |
hep-th/0501102 | Glenn Barnich | Glenn Barnich and Geoffrey Compere | Conserved charges and thermodynamics of the spinning Godel black hole | 4 pages revtex file, additional discussion on conical deficit
solutions and on alternative parameterization, additional references | Phys.Rev.Lett. 95 (2005) 031302 | 10.1103/PhysRevLett.95.031302 | ULB-TH/05-01 | hep-th gr-qc | null | We compute the mass, angular momenta and charge of the Godel-type rotating
black hole solution to 5 dimensional minimal supergravity. A generalized Smarr
formula is derived and the first law of thermodynamics is verified. The
computation rests on a new approach to conserved charges in gauge theories that
allows for their computation at finite radius.
| [
{
"created": "Fri, 14 Jan 2005 00:11:30 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jul 2005 14:12:04 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Barnich",
"Glenn",
""
],
[
"Compere",
"Geoffrey",
""
]
] | We compute the mass, angular momenta and charge of the Godel-type rotating black hole solution to 5 dimensional minimal supergravity. A generalized Smarr formula is derived and the first law of thermodynamics is verified. The computation rests on a new approach to conserved charges in gauge theories that allows for their computation at finite radius. |
hep-th/0504163 | Khaled Saaidi | Khaled Saaidi | Non-local 2D Generalized Yang-Mills theories on arbitrary surfaces with
boundary | 10 pages, no figures, latex | Phys.Scripta78:015102,2008 | 10.1088/0031-8949/78/01/015102 | null | hep-th | null | The non-local generalized two dimensional Yang Mills theories on an arbitrary
orientable and non-orientable surfaces with boundaries is studied. We obtain
the effective action of these theories for the case which the gauge group is
near the identity, $U\simeq I$. Furthermore, by obtaining the effective action
at the large-N limit, it is shown that the phase structure of these theories is
the same as that obtain for these theories on orientable and non-orientable
surface without boundaries. It is seen that the $\phi^2$ model of these
theories on an arbitrary orientable and non-orientable surfaces with boundaries
have third order phase transition only on $g=0$ and $r=1$ surfaces, with
modified area $\tilde{A}+{\cal A}/2$ for orientable and $\bar{A}+\mathcal{A}$
for non-orientable surfaces respectivly.
| [
{
"created": "Wed, 20 Apr 2005 05:38:03 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Saaidi",
"Khaled",
""
]
] | The non-local generalized two dimensional Yang Mills theories on an arbitrary orientable and non-orientable surfaces with boundaries is studied. We obtain the effective action of these theories for the case which the gauge group is near the identity, $U\simeq I$. Furthermore, by obtaining the effective action at the large-N limit, it is shown that the phase structure of these theories is the same as that obtain for these theories on orientable and non-orientable surface without boundaries. It is seen that the $\phi^2$ model of these theories on an arbitrary orientable and non-orientable surfaces with boundaries have third order phase transition only on $g=0$ and $r=1$ surfaces, with modified area $\tilde{A}+{\cal A}/2$ for orientable and $\bar{A}+\mathcal{A}$ for non-orientable surfaces respectivly. |
hep-th/9907133 | Wolfgang Lerche | W. Lerche and S. Stieberger | 1/4 BPS States and Non-Perturbative Couplings in N=4 String Theories | 32 p, harvmac, 1 fig. Revision: taking the fermionic contractions
into account, the K3 elliptic genus disappears | Adv.Theor.Math.Phys.3:1539-1574,1999 | null | CERN-TH/99-210 | hep-th | null | We compute certain 2K+4-point, one-loop couplings in the type IIA string
compactified on K3 x T^2, which are related to a topological index on this
manifold. Their special feature is that they are sensitive to only short and
intermediate BPS multiplets. The couplings derive from underlying prepotentials
G[K](T,U), which can be nicely summed up into a fundamental generating
function. In the dual heterotic string on T^6, the amplitudes describe
non-perturbative gravitational corrections to K-loop amplitudes due to bound
states of fivebrane instantons with heterotic world-sheet instantons. We argue,
as a consequence, that our results also give information about instanton
configurations in six dimensional Sp(2k) gauge theories on T^6.
| [
{
"created": "Thu, 15 Jul 1999 19:15:05 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Aug 1999 19:57:23 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Oct 1999 16:14:41 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Lerche",
"W.",
""
],
[
"Stieberger",
"S.",
""
]
] | We compute certain 2K+4-point, one-loop couplings in the type IIA string compactified on K3 x T^2, which are related to a topological index on this manifold. Their special feature is that they are sensitive to only short and intermediate BPS multiplets. The couplings derive from underlying prepotentials G[K](T,U), which can be nicely summed up into a fundamental generating function. In the dual heterotic string on T^6, the amplitudes describe non-perturbative gravitational corrections to K-loop amplitudes due to bound states of fivebrane instantons with heterotic world-sheet instantons. We argue, as a consequence, that our results also give information about instanton configurations in six dimensional Sp(2k) gauge theories on T^6. |
1411.6696 | Eirik Eik Svanes Eirik Eik Svanes | Eirik Eik Svanes | Moduli in General $SU(3)$-Structure Heterotic Compactifications | PhD thesis. 163 pages, 5 figures. Minor corrections and references
added | null | null | null | hep-th hep-ph math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis, we study moduli in compactifications of ten-dimensional
heterotic supergravity. We consider supersymmetric compactifications to
four-dimensional maximally symmetric space, commonly referred to as the
Strominger system. The compact part of space-time $X$ is a six-dimensional
manifold of what we refer to as a heterotic $SU(3)$-structure. We show that
this system can be put in terms of a holomorphic operator $\bar D$ on a bundle
$\mathcal{Q}=T^*X\oplus\mathrm{End}(TX)\oplus\mathrm{End}(V)\oplus TX$, defined
by a series of extensions. We proceed to compute the infinitesimal deformation
space of this structure, given by $T\mathcal{M}=H^{(0,1)}(\mathcal{Q})$, which
constitutes the infinitesimal spectrum of the four-dimensional theory. In doing
so, we find an over counting of moduli by $H^{(0,1)}(\mathrm{End}(TX))$, which
can be reinterpreted as $\mathcal{O}(\alpha')$ field redefinitions. We next
consider non-maximally symmetric domain wall compactifications of the form
$M_{10}=M_3\times Y$, where $M_3$ is three-dimensional Minkowski space, and
$Y=\mathbb{R}\times X$ is a seven-dimensional non-compact manifold with a
$G_2$-structure. Here $X$ is a six dimensional compact space of half-flat
$SU(3)$-structure, non-trivially fibered over $\mathbb{R}$. By focusing on
coset compactifications, we show that the compact space $X$ can be endowed with
non-trivial torsion, which can be used in a combination with $\alpha'$-effects
to stabilise all geometric moduli. The domain wall can further be lifted to a
maximally symmetric AdS vacuum by inclusion of non-perturbative effects.
Finally, we consider domain wall compactifications where $X$ is a Calabi-Yau.
We show that by considering such compactifications, one can evade the usual
no-go theorems for flux in Calabi-Yau compactifications, allowing flux to be
used as a tool in such compactifications, even when $X$ is K\"ahler.
| [
{
"created": "Tue, 25 Nov 2014 00:49:02 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2015 01:49:22 GMT",
"version": "v2"
}
] | 2015-12-28 | [
[
"Svanes",
"Eirik Eik",
""
]
] | In this thesis, we study moduli in compactifications of ten-dimensional heterotic supergravity. We consider supersymmetric compactifications to four-dimensional maximally symmetric space, commonly referred to as the Strominger system. The compact part of space-time $X$ is a six-dimensional manifold of what we refer to as a heterotic $SU(3)$-structure. We show that this system can be put in terms of a holomorphic operator $\bar D$ on a bundle $\mathcal{Q}=T^*X\oplus\mathrm{End}(TX)\oplus\mathrm{End}(V)\oplus TX$, defined by a series of extensions. We proceed to compute the infinitesimal deformation space of this structure, given by $T\mathcal{M}=H^{(0,1)}(\mathcal{Q})$, which constitutes the infinitesimal spectrum of the four-dimensional theory. In doing so, we find an over counting of moduli by $H^{(0,1)}(\mathrm{End}(TX))$, which can be reinterpreted as $\mathcal{O}(\alpha')$ field redefinitions. We next consider non-maximally symmetric domain wall compactifications of the form $M_{10}=M_3\times Y$, where $M_3$ is three-dimensional Minkowski space, and $Y=\mathbb{R}\times X$ is a seven-dimensional non-compact manifold with a $G_2$-structure. Here $X$ is a six dimensional compact space of half-flat $SU(3)$-structure, non-trivially fibered over $\mathbb{R}$. By focusing on coset compactifications, we show that the compact space $X$ can be endowed with non-trivial torsion, which can be used in a combination with $\alpha'$-effects to stabilise all geometric moduli. The domain wall can further be lifted to a maximally symmetric AdS vacuum by inclusion of non-perturbative effects. Finally, we consider domain wall compactifications where $X$ is a Calabi-Yau. We show that by considering such compactifications, one can evade the usual no-go theorems for flux in Calabi-Yau compactifications, allowing flux to be used as a tool in such compactifications, even when $X$ is K\"ahler. |
hep-th/0301082 | Bert Schroer | Bert Schroer (CBPF, Rio de Janeiro) | How far does the analogy between causal horizon-induced thermalization
with the standard heat bath situation go? | 10 pages, based on talk given at the 2002 Londrina Winter School | Int.J.Mod.Phys. A18 (2003) 2167-2178 | 10.1142/S0217751X03015623 | null | hep-th | null | After a short presentation of KMS states and modular theory as the unifying
description of thermalizing systems we propose the absence of transverse vacuum
fluctuations in the holographic projections as the mechanism for an area
behavior (the transverse area) of localization entropy as opposed to the volume
dependence of ordinary heat bath entropy. Thermalization through causal
localization is not a property of QM, but results from the omnipresent vacuum
polarization in QFT and does not require a Gibbs type ensemble avaraging
(coupling to a heat bath).
| [
{
"created": "Tue, 14 Jan 2003 10:39:11 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Schroer",
"Bert",
"",
"CBPF, Rio de Janeiro"
]
] | After a short presentation of KMS states and modular theory as the unifying description of thermalizing systems we propose the absence of transverse vacuum fluctuations in the holographic projections as the mechanism for an area behavior (the transverse area) of localization entropy as opposed to the volume dependence of ordinary heat bath entropy. Thermalization through causal localization is not a property of QM, but results from the omnipresent vacuum polarization in QFT and does not require a Gibbs type ensemble avaraging (coupling to a heat bath). |
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