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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2312.10229 | Alejandro Corichi | Alejandro Corichi, Juan D. Reyes and Tatjana Vukasinac | On covariant and canonical Hamiltonian formalisms for gauge theories | 21 pages, 2 figures. Typos corrected, discussion slightly improved,
references added | Universe 2024, 10(2), 60 | 10.3390/universe10020060 | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by-nc-nd/4.0/ | The Hamiltonian description of classical gauge theories is a very well
studied subject. The two best known approaches, namely the covariant and
canonical Hamiltonian formalisms have received a lot of attention in the
literature. However, a full understanding of the relation between them is not
available, specially when the gauge theories are defined over regions with
boundaries. Here we consider this issue, by first making precise what we mean
by equivalence between the two formalisms. Then we explore several first order
gauge theories, and assess whether their corresponding descriptions satisfy the
notion of equivalence. We shall show that, even when in several cases the two
formalisms are indeed equivalent, there are counterexamples that signal that
this is not always the case. Thus, non-equivalence is a generic feature for
gauge field theories. These results call for a deeper understanding of the
subject.
| [
{
"created": "Fri, 15 Dec 2023 21:54:12 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jan 2024 18:58:09 GMT",
"version": "v2"
}
] | 2024-02-01 | [
[
"Corichi",
"Alejandro",
""
],
[
"Reyes",
"Juan D.",
""
],
[
"Vukasinac",
"Tatjana",
""
]
] | The Hamiltonian description of classical gauge theories is a very well studied subject. The two best known approaches, namely the covariant and canonical Hamiltonian formalisms have received a lot of attention in the literature. However, a full understanding of the relation between them is not available, specially when the gauge theories are defined over regions with boundaries. Here we consider this issue, by first making precise what we mean by equivalence between the two formalisms. Then we explore several first order gauge theories, and assess whether their corresponding descriptions satisfy the notion of equivalence. We shall show that, even when in several cases the two formalisms are indeed equivalent, there are counterexamples that signal that this is not always the case. Thus, non-equivalence is a generic feature for gauge field theories. These results call for a deeper understanding of the subject. |
hep-th/9806152 | Jens Hoppe | Jens Hoppe, Shing-Tung Yau | Absence of Zero Energy States in the Simplest d=3 (d=5?) Matrix Models | 4 pages, LaTex file | null | null | null | hep-th | null | The method introduced in [hep-th/9805020] is simplified, and used to
calculate the asymptotic form of all SU(2) \times SO(d=3, resp. 5) invariant
wave functions satisfying $Q_{\hat{\beta}} \Psi = 0, \hat{\beta} = 1 ... 4$
resp. 8, where $Q_{\hat{\beta}}$ are the supercharges of the SU(2) matrix model
related to supermembranes in d+2=5 (resp. 7) space-time dimensions. For d=3,
there exist 2 asymptotic solutions, both of which are constant (hence
non-normalizable) in the flat directions, confirming previous arguments that
gauge-invariant zero energy states should not exist for d<9. For d=5, however,
out of 4 asymptotic singlet solutions (3 with orbital angular momentum $l=0$,
one having $l=1$) the one with $l=1$ does fall off fast enough to be
asymptotically normalizable, hence requiring further analysis to be excluded as
being extendable to a global solution.
| [
{
"created": "Thu, 18 Jun 1998 15:44:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hoppe",
"Jens",
""
],
[
"Yau",
"Shing-Tung",
""
]
] | The method introduced in [hep-th/9805020] is simplified, and used to calculate the asymptotic form of all SU(2) \times SO(d=3, resp. 5) invariant wave functions satisfying $Q_{\hat{\beta}} \Psi = 0, \hat{\beta} = 1 ... 4$ resp. 8, where $Q_{\hat{\beta}}$ are the supercharges of the SU(2) matrix model related to supermembranes in d+2=5 (resp. 7) space-time dimensions. For d=3, there exist 2 asymptotic solutions, both of which are constant (hence non-normalizable) in the flat directions, confirming previous arguments that gauge-invariant zero energy states should not exist for d<9. For d=5, however, out of 4 asymptotic singlet solutions (3 with orbital angular momentum $l=0$, one having $l=1$) the one with $l=1$ does fall off fast enough to be asymptotically normalizable, hence requiring further analysis to be excluded as being extendable to a global solution. |
1107.5895 | Jock McOrist | Jock McOrist and Andrew B. Royston | T-dualising the Deformed and Resolved Conifold | 57 pages, 1 figure; v2: typos fixed | null | 10.1088/0264-9381/29/5/055014 | DAMTP-2011-50, RUNHETC-2011-15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous paper we used T-duality to construct a new type of 1/4-BPS
solution describing a pair of NS5-branes intersecting in 1+3 dimensions and
localised in all other directions except for a single transverse circle. This
led to an explicit solution to a sourced Monge--Ampere equation, of which there
are few known examples. In this paper we refine this formalism and apply it to
two important generalisations: the resolved and deformed conifolds. In doing so
we construct two new solutions describing, respectively, a pair of NS5-branes
separated in a transverse direction and a pair of NS5-branes with smooth
`diamond' profile. We show how the parameter of the resolved conifold (size of
the S^2) maps to a transverse separation of the NS5-branes, while the modulus
of the deformed conifold (size of the S^3) maps to the deformation parameter of
the diamond web.
| [
{
"created": "Fri, 29 Jul 2011 08:34:24 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Sep 2011 12:11:27 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"McOrist",
"Jock",
""
],
[
"Royston",
"Andrew B.",
""
]
] | In a previous paper we used T-duality to construct a new type of 1/4-BPS solution describing a pair of NS5-branes intersecting in 1+3 dimensions and localised in all other directions except for a single transverse circle. This led to an explicit solution to a sourced Monge--Ampere equation, of which there are few known examples. In this paper we refine this formalism and apply it to two important generalisations: the resolved and deformed conifolds. In doing so we construct two new solutions describing, respectively, a pair of NS5-branes separated in a transverse direction and a pair of NS5-branes with smooth `diamond' profile. We show how the parameter of the resolved conifold (size of the S^2) maps to a transverse separation of the NS5-branes, while the modulus of the deformed conifold (size of the S^3) maps to the deformation parameter of the diamond web. |
1303.6726 | Paul Franche | Paul Franche | Towards New Classes of Flux Compactifications | 111 pages, 7 figures, PhD thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive novel solutions of flux compactification with D7-branes on the
resolved conifold in type IIB String Theory and later extend this solution to
allow for non-zero temperature. At zero temperature, we find that adding
D7-branes via the Ouyang embedding contributes to the supersymmetry-breaking
(1,2) imaginary-self-dual flux, without generating a bulk cosmological
constant. We further find that having D7-branes and a resolved conifold
together give rise to a non-trivial D-term on the D7-branes. This
supersymmetry-breaking term vanishes when we take the singular conifold limit,
although supersymmetry appears to remain broken. We also lift our construction
to F-theory where we show that the type IIB (1,2) flux goes to (2,2)
non-primitive flux on the fourfold.
In the second part of the thesis, we extend these results by taking the
non-extremal limit of our geometry to incorporate temperature. In this case,
the internal NS-NS and R-R fluxes are no longer expected to be self-dual, but
they should also naturally be extensions of the fluxes found above. From the
supergravity equations of motion, we compute how the new contributions to the
fluxes should enter, due to the squashing of the resolved metric and
non-extremality. This provides us with a compelling gravity dual of large N
thermal quantum chromodynamics with flavor.
| [
{
"created": "Wed, 27 Mar 2013 02:24:07 GMT",
"version": "v1"
}
] | 2013-03-28 | [
[
"Franche",
"Paul",
""
]
] | We derive novel solutions of flux compactification with D7-branes on the resolved conifold in type IIB String Theory and later extend this solution to allow for non-zero temperature. At zero temperature, we find that adding D7-branes via the Ouyang embedding contributes to the supersymmetry-breaking (1,2) imaginary-self-dual flux, without generating a bulk cosmological constant. We further find that having D7-branes and a resolved conifold together give rise to a non-trivial D-term on the D7-branes. This supersymmetry-breaking term vanishes when we take the singular conifold limit, although supersymmetry appears to remain broken. We also lift our construction to F-theory where we show that the type IIB (1,2) flux goes to (2,2) non-primitive flux on the fourfold. In the second part of the thesis, we extend these results by taking the non-extremal limit of our geometry to incorporate temperature. In this case, the internal NS-NS and R-R fluxes are no longer expected to be self-dual, but they should also naturally be extensions of the fluxes found above. From the supergravity equations of motion, we compute how the new contributions to the fluxes should enter, due to the squashing of the resolved metric and non-extremality. This provides us with a compelling gravity dual of large N thermal quantum chromodynamics with flavor. |
1008.1915 | Nicol\'as Grandi | Carlos R. Arg\"uelles and Nicol\'as E. Grandi | Domain Wall solutions to Horava gravity | 14 pages, 7 figures, replaced by revised version | Gravit. Cosmol. (2017) 23: 349 | 10.1134/S020228931704003X | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigated purely gravitational domain wall solutions to Horava
nonrelativistic theory of gravity with detailed balance in 3 + 1 dimensions. We
find that for arbitrary values of the running parameter {\lambda} > 1/3 two
branches of membrane solutions exist. For positive values of the cosmo-logical
constant, the solution represents a space that is bounded in the transverse
direction, with singularities sitting at each of the boundaries. For negative
values of the cosmological constant, the solution contains a single membrane
sitting at the center of a space, which extends infinitely in the transverse
direction approaching a Lifshitz metric. In that case there is one additional
degenerate branch, for which the lapse function is undetermined.
| [
{
"created": "Wed, 11 Aug 2010 14:26:41 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Aug 2010 21:15:54 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Mar 2011 03:58:54 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Jun 2012 23:40:18 GMT",
"version": "v4"
}
] | 2019-11-12 | [
[
"Argüelles",
"Carlos R.",
""
],
[
"Grandi",
"Nicolás E.",
""
]
] | We investigated purely gravitational domain wall solutions to Horava nonrelativistic theory of gravity with detailed balance in 3 + 1 dimensions. We find that for arbitrary values of the running parameter {\lambda} > 1/3 two branches of membrane solutions exist. For positive values of the cosmo-logical constant, the solution represents a space that is bounded in the transverse direction, with singularities sitting at each of the boundaries. For negative values of the cosmological constant, the solution contains a single membrane sitting at the center of a space, which extends infinitely in the transverse direction approaching a Lifshitz metric. In that case there is one additional degenerate branch, for which the lapse function is undetermined. |
0706.2785 | Claudio Scrucca | Marta Gomez-Reino, Claudio A. Scrucca | Metastable supergravity vacua with F and D supersymmetry breaking | 40 pages; v2 some clarifications added in the introduction; v3 some
typos corrected | JHEP 0708:091,2007 | 10.1088/1126-6708/2007/08/091 | null | hep-th | null | We study the conditions under which a generic supergravity model involving
chiral and vector multiplets can admit viable metastable vacua with
spontaneously broken supersymmetry and realistic cosmological constant. To do
so, we impose that on the vacuum the scalar potential and all its first
derivatives vanish, and derive a necessary condition for the matrix of its
second derivatives to be positive definite. We study then the constraints set
by the combination of the flatness condition needed for the tuning of the
cosmological constant and the stability condition that is necessary to avoid
unstable modes. We find that the existence of such a viable vacuum implies a
condition involving the curvature tensor for the scalar geometry and the charge
and mass matrices for the vector fields. Moreover, for given curvature, charges
and masses satisfying this constraint, the vector of F and D auxiliary fields
defining the Goldstino direction is constrained to lie within a certain domain.
The effect of vector multiplets relative to chiral multiplets is maximal when
the masses of the vector fields are comparable to the gravitino mass. When the
masses are instead much larger or much smaller than the gravitino mass, the
effect becomes small and translates into a correction to the effective
curvature. We finally apply our results to some simple classes of examples, to
illustrate their relevance.
| [
{
"created": "Tue, 19 Jun 2007 13:12:19 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2007 12:22:29 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Oct 2007 10:14:48 GMT",
"version": "v3"
}
] | 2009-04-30 | [
[
"Gomez-Reino",
"Marta",
""
],
[
"Scrucca",
"Claudio A.",
""
]
] | We study the conditions under which a generic supergravity model involving chiral and vector multiplets can admit viable metastable vacua with spontaneously broken supersymmetry and realistic cosmological constant. To do so, we impose that on the vacuum the scalar potential and all its first derivatives vanish, and derive a necessary condition for the matrix of its second derivatives to be positive definite. We study then the constraints set by the combination of the flatness condition needed for the tuning of the cosmological constant and the stability condition that is necessary to avoid unstable modes. We find that the existence of such a viable vacuum implies a condition involving the curvature tensor for the scalar geometry and the charge and mass matrices for the vector fields. Moreover, for given curvature, charges and masses satisfying this constraint, the vector of F and D auxiliary fields defining the Goldstino direction is constrained to lie within a certain domain. The effect of vector multiplets relative to chiral multiplets is maximal when the masses of the vector fields are comparable to the gravitino mass. When the masses are instead much larger or much smaller than the gravitino mass, the effect becomes small and translates into a correction to the effective curvature. We finally apply our results to some simple classes of examples, to illustrate their relevance. |
1706.06101 | Benson Way | Matthew W. Choptuik, Oscar J.C. Dias, Jorge E. Santos, Benson Way | Collapse and Nonlinear Instability of AdS with Angular Momenta | null | Phys. Rev. Lett. 119, 191104 (2017) | 10.1103/PhysRevLett.119.191104 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a numerical study of rotational dynamics in AdS$_5$ with equal
angular momenta in the presence of a complex doublet scalar field. We determine
that the endpoint of gravitational collapse is a Myers-Perry black hole for
high energies and a hairy black hole for low energies. We investigate the
timescale for collapse at low energies $E$, keeping the angular momenta
$J\propto E$ in AdS length units. We find that the inclusion of angular momenta
delays the collapse time, but retains a $t\sim1/E$ scaling. We perturb and
evolve rotating boson stars, and find that boson stars near AdS appear stable,
but those sufficiently far from AdS are unstable. We find that the dynamics of
the boson star instability depend on the perturbation, resulting either in
collapse to a Myers-Perry black hole, or development towards a stable
oscillating solution.
| [
{
"created": "Mon, 19 Jun 2017 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2017 01:47:06 GMT",
"version": "v2"
}
] | 2017-11-15 | [
[
"Choptuik",
"Matthew W.",
""
],
[
"Dias",
"Oscar J. C.",
""
],
[
"Santos",
"Jorge E.",
""
],
[
"Way",
"Benson",
""
]
] | We present a numerical study of rotational dynamics in AdS$_5$ with equal angular momenta in the presence of a complex doublet scalar field. We determine that the endpoint of gravitational collapse is a Myers-Perry black hole for high energies and a hairy black hole for low energies. We investigate the timescale for collapse at low energies $E$, keeping the angular momenta $J\propto E$ in AdS length units. We find that the inclusion of angular momenta delays the collapse time, but retains a $t\sim1/E$ scaling. We perturb and evolve rotating boson stars, and find that boson stars near AdS appear stable, but those sufficiently far from AdS are unstable. We find that the dynamics of the boson star instability depend on the perturbation, resulting either in collapse to a Myers-Perry black hole, or development towards a stable oscillating solution. |
hep-th/9602146 | Uehara | Bin Chen, Takesi Saito, Hong-Bo Teng, Kunihiko Uehara, Ke Wu | $N=2$ and $4$ Super Yang-Mills Theories on $M_4 \times Z_2 \times Z_2$
Geometry | 13 pages, LaTeX file | Prog.Theor.Phys.95:1173-1182,1996 | 10.1143/PTP.95.1173 | TU-02/96 | hep-th | null | We derive the $N=2$ and $4$ super Yang-Mills theories from the viewpoint of
the $M_4\times Z_2\times Z_2$ gauge theory. Scalars and pseudoscalars appearing
in the theories are regarded as gauge fields along the directions on $Z_2\times
Z_2$ discrete space.
| [
{
"created": "Tue, 27 Feb 1996 08:13:45 GMT",
"version": "v1"
}
] | 2010-12-16 | [
[
"Chen",
"Bin",
""
],
[
"Saito",
"Takesi",
""
],
[
"Teng",
"Hong-Bo",
""
],
[
"Uehara",
"Kunihiko",
""
],
[
"Wu",
"Ke",
""
]
] | We derive the $N=2$ and $4$ super Yang-Mills theories from the viewpoint of the $M_4\times Z_2\times Z_2$ gauge theory. Scalars and pseudoscalars appearing in the theories are regarded as gauge fields along the directions on $Z_2\times Z_2$ discrete space. |
hep-th/0102190 | L. Hoevenaars | L.K. Hoevenaars, R. Martini | Generalized WDVV equations for B_r and C_r pure N=2 Super-Yang-Mills
theory | 8 pages | Lett.Math.Phys. 57 (2001) 175-183 | null | null | hep-th | null | A proof that the prepotential for pure N=2 Super-Yang-Mills theory associated
with Lie algebras B_r and C_r satisfies the generalized WDVV
(Witten-Dijkgraaf-Verlinde-Verlinde) system was given by Marshakov, Mironov and
Morozov. Among other things, they use an associative algebra of holomorphic
differentials. Later Ito and Yang used a different approach to try to
accomplish the same result, but they encountered objects of which it is unclear
whether they form structure constants of an associative algebra. We show by
explicit calculation that these objects are none other than the structure
constants of the algebra of holomorphic differentials.
| [
{
"created": "Tue, 27 Feb 2001 10:32:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hoevenaars",
"L. K.",
""
],
[
"Martini",
"R.",
""
]
] | A proof that the prepotential for pure N=2 Super-Yang-Mills theory associated with Lie algebras B_r and C_r satisfies the generalized WDVV (Witten-Dijkgraaf-Verlinde-Verlinde) system was given by Marshakov, Mironov and Morozov. Among other things, they use an associative algebra of holomorphic differentials. Later Ito and Yang used a different approach to try to accomplish the same result, but they encountered objects of which it is unclear whether they form structure constants of an associative algebra. We show by explicit calculation that these objects are none other than the structure constants of the algebra of holomorphic differentials. |
hep-th/9502163 | Warren Siegel | W. Siegel | Super Yang-Mills Theory as a Random Matrix Model | 15 pg., uuencoded compressed postscript file (.ps.Z.uu), other
formats (.dvi, .ps, .ps.Z, 8-bit .tex) available at
http://insti.physics.sunysb.edu/~siegel/preprints/ or at
ftp://max.physics.sunysb.edu/preprints/siegel | Phys.Rev. D52 (1995) 1035-1041 | 10.1103/PhysRevD.52.1035 | ITP-SB-95-04 | hep-th | null | We generalize the Gervais-Neveu gauge to four-dimensional N=1 superspace. The
model describes an N=2 super Yang-Mills theory. All chiral superfields (N=2
matter and ghost multiplets) exactly cancel to all loops. The remaining
hermitian scalar superfield (matrix) has a renormalizable massive propagator
and simplified vertices. These properties are associated with N=1 supergraphs
describing a superstring theory on a random lattice world-sheet. We also
consider all possible finite matrix models, and find they have a universal
large-color limit. These could describe gravitational strings if the
matrix-model coupling is fixed to unity, for exact electric-magnetic
self-duality.
| [
{
"created": "Tue, 28 Feb 1995 18:48:14 GMT",
"version": "v1"
}
] | 2013-09-26 | [
[
"Siegel",
"W.",
""
]
] | We generalize the Gervais-Neveu gauge to four-dimensional N=1 superspace. The model describes an N=2 super Yang-Mills theory. All chiral superfields (N=2 matter and ghost multiplets) exactly cancel to all loops. The remaining hermitian scalar superfield (matrix) has a renormalizable massive propagator and simplified vertices. These properties are associated with N=1 supergraphs describing a superstring theory on a random lattice world-sheet. We also consider all possible finite matrix models, and find they have a universal large-color limit. These could describe gravitational strings if the matrix-model coupling is fixed to unity, for exact electric-magnetic self-duality. |
2008.12743 | Carlo Heissenberg | Paolo Di Vecchia, Carlo Heissenberg, Rodolfo Russo and Gabriele
Veneziano | Universality of ultra-relativistic gravitational scattering | 20 pages, 1 figure | null | 10.1016/j.physletb.2020.135924 | CERN-TH-2020-143, NORDITA 2020-079, QMUL-PH-20-25 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the ultra-relativistic gravitational scattering of two massive
particles at two-loop (3PM) level. We find that in this limit the real part of
the eikonal, determining the deflection angle, is universal for gravitational
theories in the two derivative approximation. This means that, regardless of
the number of supersymmetries or the nature of the probes, the result connects
smoothly with the massless case discussed since the late eighties by Amati,
Ciafaloni and Veneziano. We analyse the problem both by using the analyticity
and crossing properties of the scattering amplitudes and, in the case of the
maximally supersymmetric theory, by explicit evaluation of the 4-point 2-loop
amplitude using the results for the integrals in the full soft region. The
first approach shows that the observable we are interested in is determined by
the inelastic tree-level amplitude describing the emission of a graviton in the
high-energy double-Regge limit, which is the origin of the universality
property mentioned above. The second approach strongly suggests that the
inclusion of the whole soft region is a necessary (and possibly sufficient)
ingredient for recovering ultra relativistic finiteness and universality at the
3PM level. We conjecture that this universality persists at all orders in the
PM expansion.
| [
{
"created": "Fri, 28 Aug 2020 16:58:20 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Sep 2020 15:00:40 GMT",
"version": "v2"
}
] | 2020-12-30 | [
[
"Di Vecchia",
"Paolo",
""
],
[
"Heissenberg",
"Carlo",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Veneziano",
"Gabriele",
""
]
] | We discuss the ultra-relativistic gravitational scattering of two massive particles at two-loop (3PM) level. We find that in this limit the real part of the eikonal, determining the deflection angle, is universal for gravitational theories in the two derivative approximation. This means that, regardless of the number of supersymmetries or the nature of the probes, the result connects smoothly with the massless case discussed since the late eighties by Amati, Ciafaloni and Veneziano. We analyse the problem both by using the analyticity and crossing properties of the scattering amplitudes and, in the case of the maximally supersymmetric theory, by explicit evaluation of the 4-point 2-loop amplitude using the results for the integrals in the full soft region. The first approach shows that the observable we are interested in is determined by the inelastic tree-level amplitude describing the emission of a graviton in the high-energy double-Regge limit, which is the origin of the universality property mentioned above. The second approach strongly suggests that the inclusion of the whole soft region is a necessary (and possibly sufficient) ingredient for recovering ultra relativistic finiteness and universality at the 3PM level. We conjecture that this universality persists at all orders in the PM expansion. |
1601.01160 | Xiao-Xiong Zeng | Xiao-Xiong Zeng, Xian-Ming Liu, Li-Fang Li | Phase structure of the Born-Infeld-anti-de Sitter black holes probed by
non-local observables | 20 pages, many figures. arXiv admin note: text overlap with
arXiv:1512.08855 | Eur. Phys. J. C (2016) 76:616 | 10.1140/epjc/s10052-016-4463-4 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-sa/4.0/ | With the non-local observables such as two point correlation function and
holographic entanglement entropy, we probe the phase structure of the
Born-Infeld-anti-de Sitter black holes. We find for the case $bQ>0.5$, the
phase structure is similar to that of the Reissner-Nordstr\"om-AdS black hole,
namely the black hole undergoes a Hawking-Page phase transition, a first order
phase transition, and a second order phase transition. While for the case
$bQ<0.5$, we find there is a new branch for the infinitesimally small black
hole so that a pseudo phase transition emerges besides the original first order
phase transition. For the first order phase transition and the pseudo phase
transition, the equal area law is checked, and for the second order phase
transition, the critical exponent of the analogous heat capacity is obtained in
the neighborhood of the critical points. All the results show that the phase
structure of the non-local observables is the same as that of the thermal
entropy regardless of the size of the boundary region in the field theory.
| [
{
"created": "Wed, 6 Jan 2016 12:38:49 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Nov 2016 07:26:43 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Zeng",
"Xiao-Xiong",
""
],
[
"Liu",
"Xian-Ming",
""
],
[
"Li",
"Li-Fang",
""
]
] | With the non-local observables such as two point correlation function and holographic entanglement entropy, we probe the phase structure of the Born-Infeld-anti-de Sitter black holes. We find for the case $bQ>0.5$, the phase structure is similar to that of the Reissner-Nordstr\"om-AdS black hole, namely the black hole undergoes a Hawking-Page phase transition, a first order phase transition, and a second order phase transition. While for the case $bQ<0.5$, we find there is a new branch for the infinitesimally small black hole so that a pseudo phase transition emerges besides the original first order phase transition. For the first order phase transition and the pseudo phase transition, the equal area law is checked, and for the second order phase transition, the critical exponent of the analogous heat capacity is obtained in the neighborhood of the critical points. All the results show that the phase structure of the non-local observables is the same as that of the thermal entropy regardless of the size of the boundary region in the field theory. |
hep-th/9706216 | null | Ioseph Buchbinder, Ahmed Hindawi, and Burt A. Ovrut | A Two-Form Formulation of the Vector-Tensor Multiplet in Central Charge
Superspace | 16 pages, LaTeX2e with AMS-LaTeX | Phys.Lett. B413 (1997) 79-88 | 10.1016/S0370-2693(97)01080-0 | UPR-764 | hep-th | null | A two-form formulation for the N=2 vector-tensor multiplet is constructed
using superfield methods in central charge superspace. The N=2 non-Abelian
standard supergauge multiplet in central charge superspace is also discussed,
as is with the associated Chern-Simons form. We give the constraints, solve the
Bianchi identities and present the action for a theory of the vector-tensor
multiplet coupled to the non-Abelian supergauge multiplet via the Chern-Simons
form.
| [
{
"created": "Mon, 30 Jun 1997 12:35:39 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Buchbinder",
"Ioseph",
""
],
[
"Hindawi",
"Ahmed",
""
],
[
"Ovrut",
"Burt A.",
""
]
] | A two-form formulation for the N=2 vector-tensor multiplet is constructed using superfield methods in central charge superspace. The N=2 non-Abelian standard supergauge multiplet in central charge superspace is also discussed, as is with the associated Chern-Simons form. We give the constraints, solve the Bianchi identities and present the action for a theory of the vector-tensor multiplet coupled to the non-Abelian supergauge multiplet via the Chern-Simons form. |
hep-th/0412147 | Jerzy Lukierski | A. Borowiec (IFT, Wroclaw Univ.), J. Lukierski (IFT, Wroclaw Univ.)
and V.N. Tolstoy (INP, Moscow State Univ.) | Superextension of Jordanian Deformation for U(osp(1|2))and its
Generalizations | LaTeX, 8 pages. To appear in Proceedings of XXV International
Colloquium on Group-Theoretical Methods in Physics, Cocoyoc (Mexico),
2.08-6.08.2004, Eds. G.S. Pogosyan, L.E. Vicent and K.B. Wolf, publ. IOP
Publishing House, Bristol (2005) | null | null | null | hep-th | null | We describe Jordanian ``nonstandard'' deformation of U(osp(1|2)) by employing
the twist quantization technique. An extension of these results to
U(osp(1|4))describing deformed graded D=4 $AdS$ symmetries and to their
super-Poincar\'{e} limit is outlined.
| [
{
"created": "Tue, 14 Dec 2004 13:11:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Borowiec",
"A.",
"",
"IFT, Wroclaw Univ."
],
[
"Lukierski",
"J.",
"",
"IFT, Wroclaw Univ."
],
[
"Tolstoy",
"V. N.",
"",
"INP, Moscow State Univ."
]
] | We describe Jordanian ``nonstandard'' deformation of U(osp(1|2)) by employing the twist quantization technique. An extension of these results to U(osp(1|4))describing deformed graded D=4 $AdS$ symmetries and to their super-Poincar\'{e} limit is outlined. |
1103.6081 | Chul-Moon Yoo | Chul-Moon Yoo, Sugure Tanzawa and Misao Sasaki | Gregory-Laflamme instability of a slowly rotating black string | 26 pages, 1 figure | Int.J.Mod.Phys.D20:963-988,2011 | 10.1142/S0218271811019359 | YITP-11-41 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Gregory-Laflamme instability of a 5-dimensional slowly rotating
black string in which the 4-dimensional section is described by the Kerr black
hole. We treat the rotation in a perturbative way introducing a small parameter
for the rotation. It is found that rotation makes the Gregory-Laflamme
instability stronger. Both the critical wavelength at the onset of instability
and the growth time-scale are found to decrease as the rotation increases.
| [
{
"created": "Thu, 31 Mar 2011 03:09:37 GMT",
"version": "v1"
}
] | 2011-06-07 | [
[
"Yoo",
"Chul-Moon",
""
],
[
"Tanzawa",
"Sugure",
""
],
[
"Sasaki",
"Misao",
""
]
] | We study the Gregory-Laflamme instability of a 5-dimensional slowly rotating black string in which the 4-dimensional section is described by the Kerr black hole. We treat the rotation in a perturbative way introducing a small parameter for the rotation. It is found that rotation makes the Gregory-Laflamme instability stronger. Both the critical wavelength at the onset of instability and the growth time-scale are found to decrease as the rotation increases. |
hep-th/9811205 | John F. Wheater | Martin G. Harris and John F. Wheater | The Hausdorff dimension in polymerized quantum gravity | 10 pages, 1 figure. A meaning-free sentence has been rewritten | Phys.Lett. B448 (1999) 185-190 | 10.1016/S0370-2693(99)00046-5 | OUTP-98-78P | hep-th | null | We calculate the Hausdorff dimension, $d_H$, and the correlation function
exponent, $\eta$, for polymerized two dimensional quantum gravity models. If
the non-polymerized model has correlation function exponent $\eta_0 >3$ then
$d_H=\gamma^{-1}$ where $\gamma$ is the susceptibility exponent. This suggests
that these models may be in the same universality class as certain non-generic
branched polymer models.
| [
{
"created": "Tue, 24 Nov 1998 11:05:56 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Dec 1998 15:56:53 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Harris",
"Martin G.",
""
],
[
"Wheater",
"John F.",
""
]
] | We calculate the Hausdorff dimension, $d_H$, and the correlation function exponent, $\eta$, for polymerized two dimensional quantum gravity models. If the non-polymerized model has correlation function exponent $\eta_0 >3$ then $d_H=\gamma^{-1}$ where $\gamma$ is the susceptibility exponent. This suggests that these models may be in the same universality class as certain non-generic branched polymer models. |
0901.4832 | Jian-Zu Zhang | Jian-Zu Zhang | Angular Momentum of Supersymmetric Cold Rydberg Atoms | 11 pages, no figure | Phys.Rev.Lett.77:44-47,1996 | 10.1103/PhysRevLett.77.44 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Semiunitary transformation is applied to discuss supersymmetrization of cold
Rydberg atoms. In the limit of vanishing kinetic energy the lowest angular
momentum of the supersymmetric cold Rydberg atom is $3\hbar/2$. A possible
experimental verification is suggested.
| [
{
"created": "Fri, 30 Jan 2009 07:46:50 GMT",
"version": "v1"
}
] | 2011-07-28 | [
[
"Zhang",
"Jian-Zu",
""
]
] | Semiunitary transformation is applied to discuss supersymmetrization of cold Rydberg atoms. In the limit of vanishing kinetic energy the lowest angular momentum of the supersymmetric cold Rydberg atom is $3\hbar/2$. A possible experimental verification is suggested. |
2101.12221 | Mukund Rangamani | Eduardo Casali, Donald Marolf, Henry Maxfield, Mukund Rangamani | Baby Universes and Worldline Field Theories | 37 pages, 3 figures. v2: fixed typos, added reference. v3: additional
comments, references updated. v4: further improvements, added references | null | 10.1088/1361-6382/ac37cd | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quantum gravity path integral involves a sum over topologies that invites
comparisons to worldsheet string theory and to Feynman diagrams of quantum
field theory. However, the latter are naturally associated with the non-abelian
algebra of quantum fields, while the former has been argued to define an
abelian algebra of superselected observables associated with
partition-function-like quantities at an asymptotic boundary. We resolve this
apparent tension by pointing out a variety of discrete choices that must be
made in constructing a Hilbert space from such path integrals, and arguing that
the natural choices for quantum gravity differ from those used to construct
QFTs. We focus on one-dimensional models of quantum gravity in order to make
direct comparisons with worldline QFT.
| [
{
"created": "Thu, 28 Jan 2021 19:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2021 18:55:39 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Jun 2021 19:55:22 GMT",
"version": "v3"
},
{
"created": "Fri, 28 Jan 2022 18:22:43 GMT",
"version": "v4"
}
] | 2022-06-29 | [
[
"Casali",
"Eduardo",
""
],
[
"Marolf",
"Donald",
""
],
[
"Maxfield",
"Henry",
""
],
[
"Rangamani",
"Mukund",
""
]
] | The quantum gravity path integral involves a sum over topologies that invites comparisons to worldsheet string theory and to Feynman diagrams of quantum field theory. However, the latter are naturally associated with the non-abelian algebra of quantum fields, while the former has been argued to define an abelian algebra of superselected observables associated with partition-function-like quantities at an asymptotic boundary. We resolve this apparent tension by pointing out a variety of discrete choices that must be made in constructing a Hilbert space from such path integrals, and arguing that the natural choices for quantum gravity differ from those used to construct QFTs. We focus on one-dimensional models of quantum gravity in order to make direct comparisons with worldline QFT. |
1210.3590 | Aron Wall | Donald Marolf, Aron C. Wall | Eternal Black Holes and Superselection in AdS/CFT | 16 pages, 1 figure, v2 references and minor comments added, v3
includes "Note added in Proof" | Class. Quantum Grav. 30, 025001 (2013) | 10.1088/0264-9381/30/2/025001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been argued i) that Lorentz-signature solutions with wormholes
connecting n asymptotically AdS regions describe bulk quantum states dual to n
entangled but non-interacting CFTs and ii) that such bulk wormhole states
should be identified with similar entangled but non-interacting bulk systems,
each describing quantum geometries with only a single asymptotic region. But if
the wormhole is to behave semiclassically, we show that conjecture (ii) cannot
hold. Instead, the theory of asymptotically AdS bulk quantum gravity must admit
superselection sectors with respect to the CFT observables that are labeled by
the type of wormhole connections allowed between black holes. Moreover, these
superselection sectors are indistinguishable in the dual CFT. Finally, we
describe restrictions on the possible superselection sectors associated with
the spin-statistics relation and the expectation that black holes lying in
distinct asymptotically AdS regions may be approximated by well-separated black
holes in a single asymptotically AdS region.
| [
{
"created": "Fri, 12 Oct 2012 18:15:01 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Oct 2012 21:39:37 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Feb 2013 00:52:45 GMT",
"version": "v3"
}
] | 2015-06-11 | [
[
"Marolf",
"Donald",
""
],
[
"Wall",
"Aron C.",
""
]
] | It has been argued i) that Lorentz-signature solutions with wormholes connecting n asymptotically AdS regions describe bulk quantum states dual to n entangled but non-interacting CFTs and ii) that such bulk wormhole states should be identified with similar entangled but non-interacting bulk systems, each describing quantum geometries with only a single asymptotic region. But if the wormhole is to behave semiclassically, we show that conjecture (ii) cannot hold. Instead, the theory of asymptotically AdS bulk quantum gravity must admit superselection sectors with respect to the CFT observables that are labeled by the type of wormhole connections allowed between black holes. Moreover, these superselection sectors are indistinguishable in the dual CFT. Finally, we describe restrictions on the possible superselection sectors associated with the spin-statistics relation and the expectation that black holes lying in distinct asymptotically AdS regions may be approximated by well-separated black holes in a single asymptotically AdS region. |
2205.01885 | Si-Wen Li | Si-wen Li, Sen-kai Luo, Hao-qian Li | Holographic Schwinger effect and electric instability with anisotropy | Fix some typoes ,adjust some figures, upgrade 2 references and add
some comments | null | 10.1007/JHEP08(2022)206 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | According to the gauge-gravity duality, we systematically study the Schwinger
effect and electric instability with anisotropy in a top-down holographic
approach. The anisotropic black brane and bubble (soliton) background in IIB
supergravity are employed and the dual theories in these backgrounds are
expected to be anisotropic theory at finite temperature and anisotropic theory
with confinement respectively. Then performing the potential analysis, we find
due to the anisotropy, the potential barrier behaves oppositely with parallel
and perpendicular electric fields, and this behavior agrees with the previous
study about the quark potential with anisotropy in this system. Afterwards, we
evaluate the pair production rate by solving the equation of motion for a
fundamental string numerically which reveals the consistent behavior with the
potential analysis. Furthermore, the probe D7-brane as flavor is introduced
into the bulk in order to investigate the electric instability. The vacuum
decay rate can be obtained by evaluating the imaginary part of the D7-brane
action which again agrees with our potential analysis. Solving the associated
constraint of gauge field strength on the flavor brane, we finally obtain the
V-A curve displaying the distinct behavior of the conductivity in parallel and
perpendicular direction which is in agreement with some bottom-up and
phenomenologically holographic approaches in anisotropic fluid. Accordingly, we
believe this work may be remarkable to study the electric features in strongly
coupled anisotropic system.
| [
{
"created": "Wed, 4 May 2022 04:23:06 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jun 2022 07:37:21 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jul 2022 15:14:28 GMT",
"version": "v3"
}
] | 2022-08-23 | [
[
"Li",
"Si-wen",
""
],
[
"Luo",
"Sen-kai",
""
],
[
"Li",
"Hao-qian",
""
]
] | According to the gauge-gravity duality, we systematically study the Schwinger effect and electric instability with anisotropy in a top-down holographic approach. The anisotropic black brane and bubble (soliton) background in IIB supergravity are employed and the dual theories in these backgrounds are expected to be anisotropic theory at finite temperature and anisotropic theory with confinement respectively. Then performing the potential analysis, we find due to the anisotropy, the potential barrier behaves oppositely with parallel and perpendicular electric fields, and this behavior agrees with the previous study about the quark potential with anisotropy in this system. Afterwards, we evaluate the pair production rate by solving the equation of motion for a fundamental string numerically which reveals the consistent behavior with the potential analysis. Furthermore, the probe D7-brane as flavor is introduced into the bulk in order to investigate the electric instability. The vacuum decay rate can be obtained by evaluating the imaginary part of the D7-brane action which again agrees with our potential analysis. Solving the associated constraint of gauge field strength on the flavor brane, we finally obtain the V-A curve displaying the distinct behavior of the conductivity in parallel and perpendicular direction which is in agreement with some bottom-up and phenomenologically holographic approaches in anisotropic fluid. Accordingly, we believe this work may be remarkable to study the electric features in strongly coupled anisotropic system. |
1801.00010 | Mike Blake | Mike Blake, Hyunseok Lee, and Hong Liu | A quantum hydrodynamical description for scrambling and many-body chaos | 48 pages, 9 figures. v2: references added, various clarifications
made including an expanded discussion of predictions in the introduction and
an expanded discussion of four-point functions, v3: journal version | null | 10.1007/JHEP10(2018)127 | MIT-CTP/4975 | hep-th cond-mat.str-el nlin.CD nucl-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent studies of out-of-time ordered thermal correlation functions (OTOC) in
holographic systems and in solvable models such as the Sachdev-Ye-Kitaev (SYK)
model have yielded new insights into manifestations of many-body chaos. So far
the chaotic behavior has been obtained through explicit calculations in
specific models. In this paper we propose a unified description of the
exponential growth and ballistic butterfly spreading of OTOCs across different
systems using a newly formulated "quantum hydrodynamics," which is valid at
finite $\hbar$ and to all orders in derivatives. The scrambling of a generic
few-body operator in a chaotic system is described as building up a
"hydrodynamic cloud," and the exponential growth of the cloud arises from a
shift symmetry of the hydrodynamic action. The shift symmetry also shields
correlation functions of the energy density and flux, and time ordered
correlation functions of generic operators from exponential growth, while leads
to chaotic behavior in OTOCs. The theory also predicts an interesting
phenomenon of the skipping of a pole at special values of complex frequency and
momentum in two-point functions of energy density and flux. This pole-skipping
phenomenon may be considered as a "smoking gun" for the hydrodynamic origin of
the chaotic mode. We also discuss the possibility that such a hydrodynamic
description could be a hallmark of maximally chaotic systems.
| [
{
"created": "Fri, 29 Dec 2017 19:00:04 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jun 2018 09:38:25 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Oct 2018 15:49:48 GMT",
"version": "v3"
}
] | 2018-11-14 | [
[
"Blake",
"Mike",
""
],
[
"Lee",
"Hyunseok",
""
],
[
"Liu",
"Hong",
""
]
] | Recent studies of out-of-time ordered thermal correlation functions (OTOC) in holographic systems and in solvable models such as the Sachdev-Ye-Kitaev (SYK) model have yielded new insights into manifestations of many-body chaos. So far the chaotic behavior has been obtained through explicit calculations in specific models. In this paper we propose a unified description of the exponential growth and ballistic butterfly spreading of OTOCs across different systems using a newly formulated "quantum hydrodynamics," which is valid at finite $\hbar$ and to all orders in derivatives. The scrambling of a generic few-body operator in a chaotic system is described as building up a "hydrodynamic cloud," and the exponential growth of the cloud arises from a shift symmetry of the hydrodynamic action. The shift symmetry also shields correlation functions of the energy density and flux, and time ordered correlation functions of generic operators from exponential growth, while leads to chaotic behavior in OTOCs. The theory also predicts an interesting phenomenon of the skipping of a pole at special values of complex frequency and momentum in two-point functions of energy density and flux. This pole-skipping phenomenon may be considered as a "smoking gun" for the hydrodynamic origin of the chaotic mode. We also discuss the possibility that such a hydrodynamic description could be a hallmark of maximally chaotic systems. |
2005.06482 | Matteo Baggioli | Matteo Baggioli, Wei-Jia Li | Universal Bounds on Transport in Holographic Systems with Broken
Translations | v2: improved presentation and added details of the computations,
still a lot of bounds summarized in a colored table now | SciPost Phys. 9, 007 (2020) | 10.21468/SciPostPhys.9.1.007 | IFT-UAM/CSIC-20-61 | hep-th cond-mat.dis-nn cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the presence of universal bounds on transport in homogeneous
holographic models with broken translations. We verify numerically that, in
holographic systems with momentum dissipation, the viscosity to entropy bound
might be violated but the shear diffusion constant remains bounded by below.
This confirms the idea that $\eta/s$ loses its privileged role in
non-relativistic systems and that, in order to find more universal bounds, one
should rather look at diffusion constants. We strengthen this idea by showing
that, in presence of spontaneously broken translations, the Goldstone diffusion
constant satisfies a universal lower bound in terms of the Planckian relaxation
time and the butterfly velocity. Additionally, all the diffusive processes in
the model satisfy an upper bound, imposed by causality, which is given in terms
of the thermalization time -- the imaginary part of the first non-hydrodynamic
mode in the spectrum -- and the speed of longitudinal sound. Finally, we
discuss the existence of a bound on the speed of sound in holographic conformal
solids and we show that the conformal value acts as a lower (and not upper)
bound on the speed of longitudinal phonons. Nevertheless, we show that the
stiffness $\partial p/\partial \epsilon$ is still bounded by above by its
conformal value. This suggests that the bounds conjectured in the past have to
be considered on the stiffness of the system, related to its equation of state,
and not on the propagation speed of sound.
| [
{
"created": "Wed, 13 May 2020 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2020 15:32:48 GMT",
"version": "v2"
}
] | 2020-09-15 | [
[
"Baggioli",
"Matteo",
""
],
[
"Li",
"Wei-Jia",
""
]
] | We study the presence of universal bounds on transport in homogeneous holographic models with broken translations. We verify numerically that, in holographic systems with momentum dissipation, the viscosity to entropy bound might be violated but the shear diffusion constant remains bounded by below. This confirms the idea that $\eta/s$ loses its privileged role in non-relativistic systems and that, in order to find more universal bounds, one should rather look at diffusion constants. We strengthen this idea by showing that, in presence of spontaneously broken translations, the Goldstone diffusion constant satisfies a universal lower bound in terms of the Planckian relaxation time and the butterfly velocity. Additionally, all the diffusive processes in the model satisfy an upper bound, imposed by causality, which is given in terms of the thermalization time -- the imaginary part of the first non-hydrodynamic mode in the spectrum -- and the speed of longitudinal sound. Finally, we discuss the existence of a bound on the speed of sound in holographic conformal solids and we show that the conformal value acts as a lower (and not upper) bound on the speed of longitudinal phonons. Nevertheless, we show that the stiffness $\partial p/\partial \epsilon$ is still bounded by above by its conformal value. This suggests that the bounds conjectured in the past have to be considered on the stiffness of the system, related to its equation of state, and not on the propagation speed of sound. |
hep-th/0305135 | Vladimir Korepin | Hermann Boos, Vladimir Korepin and Feodor Smirnov | New formulae for solutions of quantum Knizhnik-Zamolodchikov equations
on level -4 and correlation functions | 32 pages, 1 figure | null | null | YITP-SB-03-19 | hep-th math-ph math.MP math.QA | null | This paper is continuation of our previous papers hep-th/0209246 and
hep-th/0304077 .
We discuss in more detail a new form of solution to the quantum
Knizhnik-Zamolodchikov equation [qKZ] on level -4 obtained in the paper
hep-th/0304077 for the Heisenberg XXX spin chain. The main advantage of this
form is it's explicit reducibility to one-dimensional integrals. We argue that
the deep mathematical reason for this is some special cohomologies of deformed
Jacobi varieties. We apply this new form of solution to the correlation
functions using the Jimbo-Miwa conjecture. A formula (46) for the correlation
functions obtained in this way is in a good agreement with the ansatz for the
emptiness formation probability from the paper hep-th/0209246. Our previous
conjecture on a structure of correlation functions of the XXX model in the
homogeneous limit through the Riemann zeta functions at odd arguments is a
corollary of the formula (46).
| [
{
"created": "Thu, 15 May 2003 23:38:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Boos",
"Hermann",
""
],
[
"Korepin",
"Vladimir",
""
],
[
"Smirnov",
"Feodor",
""
]
] | This paper is continuation of our previous papers hep-th/0209246 and hep-th/0304077 . We discuss in more detail a new form of solution to the quantum Knizhnik-Zamolodchikov equation [qKZ] on level -4 obtained in the paper hep-th/0304077 for the Heisenberg XXX spin chain. The main advantage of this form is it's explicit reducibility to one-dimensional integrals. We argue that the deep mathematical reason for this is some special cohomologies of deformed Jacobi varieties. We apply this new form of solution to the correlation functions using the Jimbo-Miwa conjecture. A formula (46) for the correlation functions obtained in this way is in a good agreement with the ansatz for the emptiness formation probability from the paper hep-th/0209246. Our previous conjecture on a structure of correlation functions of the XXX model in the homogeneous limit through the Riemann zeta functions at odd arguments is a corollary of the formula (46). |
hep-th/0012011 | Chris Pope | M. Cvetic, G.W. Gibbons, H. Lu and C.N. Pope | Ricci-flat Metrics, Harmonic Forms and Brane Resolutions | Latex, 51 pages; Typos corrected, further discussion added,
especially on various global issues | Commun.Math.Phys.232:457-500,2003 | 10.1007/s00220-002-0730-3 | null | hep-th | null | We discuss the geometry and topology of the complete, non-compact, Ricci-flat
Stenzel metric, on the tangent bundle of S^{n+1}. We obtain explicit results
for all the metrics, and show how they can be obtained from first-order
equations derivable from a superpotential. We then provide an explicit
construction for the harmonic self-dual (p,q)-forms in the middle dimension
p+q=(n+1) for the Stenzel metrics in 2(n+1) dimensions. Only the (p,p)-forms
are L^2-normalisable, while for (p,q)-forms the degree of divergence grows with
|p-q|. We also construct a set of Ricci-flat metrics whose level surfaces are
U(1) bundles over a product of N Einstein-Kahler manifolds, and we construct
examples of harmonic forms there. As an application, we construct new examples
of deformed supersymmetric non-singular M2-branes with such 8-dimensional
transverse Ricci-flat spaces. We show explicitly that the fractional D3-branes
on the 6-dimensional Stenzel metric found by Klebanov and Strassler is
supported by a pure (2,1)-form, and thus it is supersymmetric, while the
example of Pando Zayas-Tseytlin is supported by a mixture of (1,2) and (2,1)
forms. We comment on the implications for the corresponding dual field theories
of our resolved brane solutions.
| [
{
"created": "Mon, 4 Dec 2000 20:40:23 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jan 2001 23:49:38 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Cvetic",
"M.",
""
],
[
"Gibbons",
"G. W.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We discuss the geometry and topology of the complete, non-compact, Ricci-flat Stenzel metric, on the tangent bundle of S^{n+1}. We obtain explicit results for all the metrics, and show how they can be obtained from first-order equations derivable from a superpotential. We then provide an explicit construction for the harmonic self-dual (p,q)-forms in the middle dimension p+q=(n+1) for the Stenzel metrics in 2(n+1) dimensions. Only the (p,p)-forms are L^2-normalisable, while for (p,q)-forms the degree of divergence grows with |p-q|. We also construct a set of Ricci-flat metrics whose level surfaces are U(1) bundles over a product of N Einstein-Kahler manifolds, and we construct examples of harmonic forms there. As an application, we construct new examples of deformed supersymmetric non-singular M2-branes with such 8-dimensional transverse Ricci-flat spaces. We show explicitly that the fractional D3-branes on the 6-dimensional Stenzel metric found by Klebanov and Strassler is supported by a pure (2,1)-form, and thus it is supersymmetric, while the example of Pando Zayas-Tseytlin is supported by a mixture of (1,2) and (2,1) forms. We comment on the implications for the corresponding dual field theories of our resolved brane solutions. |
hep-th/9204068 | Omar Foda Rba5 | Omar Foda, and Tetsuji Miwa | Corner Transfer Matrices and Quantum Affine Algebras | 23 pages | null | 10.1142/S0217751X92003811 | null | hep-th nlin.SI solv-int | null | Let H be the corner-transfer-matrix Hamiltonian for the six-vertex model in
the anti-ferroelectric regime. It acts on the infinite tensor product W = V . V
. V ....., where is the 2-dimensional irreducible representation of the quantum
affine sl(2). We observe that H is the derivation of quantum affine sl(2), and
conjecture that the eigenvectors of H form the level-1 vacuum representation of
quantum affine sl(2). We report on checks in support of our conjecture.
| [
{
"created": "Thu, 23 Apr 1992 01:27:18 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Foda",
"Omar",
""
],
[
"Miwa",
"Tetsuji",
""
]
] | Let H be the corner-transfer-matrix Hamiltonian for the six-vertex model in the anti-ferroelectric regime. It acts on the infinite tensor product W = V . V . V ....., where is the 2-dimensional irreducible representation of the quantum affine sl(2). We observe that H is the derivation of quantum affine sl(2), and conjecture that the eigenvectors of H form the level-1 vacuum representation of quantum affine sl(2). We report on checks in support of our conjecture. |
1412.7133 | Johannes Walcher | Daniel Krefl, Johannes Walcher | B-Model Approaches to Instanton Counting | 24 pages, see also overview article arXiv:1412.7145 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the 13th article in the collection of reviews "Exact results in N=2
supersymmetric gauge theories", ed. J. Teschner. It discusses the relation
between the instanton partition functions and the partition function of the
topological string from the perspective of the B-model. The instanton partition
functions provide solutions to the holomorphic anomaly equations characterising
the partition functions of the topological string.
| [
{
"created": "Mon, 22 Dec 2014 20:27:11 GMT",
"version": "v1"
}
] | 2014-12-23 | [
[
"Krefl",
"Daniel",
""
],
[
"Walcher",
"Johannes",
""
]
] | This is the 13th article in the collection of reviews "Exact results in N=2 supersymmetric gauge theories", ed. J. Teschner. It discusses the relation between the instanton partition functions and the partition function of the topological string from the perspective of the B-model. The instanton partition functions provide solutions to the holomorphic anomaly equations characterising the partition functions of the topological string. |
2306.17315 | Henrique Boschi-Filho | Ayrton da Cruz Pereira do Nascimento and Henrique Boschi-Filho | Comparison between holographic deformed AdS and soft wall models for
fermions | 28 pages, 1 Table, no figures. New sections with new results included | Physical Review D 108, 106008 (2023) | 10.1103/PhysRevD.108.106008 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We compare the holographic dressed soft wall and the exponentially deformed
AdS models for spin 1/2 fermions. We present the dressed soft wall model and
its analytical solutions for the left and right modes, and the corresponding
spectra, also including modifications considering hyperfine spin-spin and meson
cloud interactions, as well as anomalous dimensions. Then, we discuss the
deformed AdS model for spin 1/2 fermions and present their effective
Schr\"odinger equations for the left and right modes, for which only numerical
solutions are available. Then, we consider a polynomial expansion of the
effective potential of the deformed AdS model and show that in the quadratic
approximation it leads to exact analytical solutions comparable with the
dressed soft wall model and obtain the corresponding spectra for left and right
modes. We show a numerical comparison of the mass spectra of spin 1/2 baryons
for the dressed soft wall and the deformed AdS models. We present a detailed
relation between the quadratic approximation of the deformed AdS and the
dressed soft wall models for their spectra, wave functions and comments on the
deep inelastic scattering on both models. We find that these two models are
{\sl not} equivalent even in the quadratic approximation, but it is possible to
relate their left and right modes for particular choices of their parameters.
| [
{
"created": "Thu, 29 Jun 2023 21:49:50 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Oct 2023 16:37:07 GMT",
"version": "v2"
}
] | 2024-04-25 | [
[
"Nascimento",
"Ayrton da Cruz Pereira do",
""
],
[
"Boschi-Filho",
"Henrique",
""
]
] | We compare the holographic dressed soft wall and the exponentially deformed AdS models for spin 1/2 fermions. We present the dressed soft wall model and its analytical solutions for the left and right modes, and the corresponding spectra, also including modifications considering hyperfine spin-spin and meson cloud interactions, as well as anomalous dimensions. Then, we discuss the deformed AdS model for spin 1/2 fermions and present their effective Schr\"odinger equations for the left and right modes, for which only numerical solutions are available. Then, we consider a polynomial expansion of the effective potential of the deformed AdS model and show that in the quadratic approximation it leads to exact analytical solutions comparable with the dressed soft wall model and obtain the corresponding spectra for left and right modes. We show a numerical comparison of the mass spectra of spin 1/2 baryons for the dressed soft wall and the deformed AdS models. We present a detailed relation between the quadratic approximation of the deformed AdS and the dressed soft wall models for their spectra, wave functions and comments on the deep inelastic scattering on both models. We find that these two models are {\sl not} equivalent even in the quadratic approximation, but it is possible to relate their left and right modes for particular choices of their parameters. |
1912.09179 | Edward Mazenc | Edward A. Mazenc, Vasudev Shyam, Ronak M Soni | A $T \bar{T}$ Deformation for Curved Spacetimes from 3d Gravity | 36 pages, 2 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a generalisation of the $T \bar{T}$ deformation to curved spaces
by defining, and solving, a suitable flow equation for the partition function.
We provide evidence it is well-defined at the quantum level. This proposal
identifies, for any CFT, the $T \bar{T}$ deformed partition function and a
certain wavefunction of 3d quantum gravity. This connection, true for any $c$,
is not a holographic duality --- the 3d theory is a "fake bulk." We however
emphasise that this reduces to the known holographic connection in the
classical limit. Concretely, this means the deformed partition function solves
exactly not just one global equation, defining the $T \bar{T}$ flow, but in
fact a local Wheeler-de Witt equation, relating the $T \bar{T}$ operator to the
trace of the stress tensor. This also immediately suggests a version of the $T
\bar{T}$ deformation with locally varying deformation parameter. We flesh out
the connection to 3d gravity, showing that the partition function of the
deformed theory is precisely a 3d gravity path integral. In particular, in the
classical limit, this path integral reproduces the holographic picture of
Dirichlet boundary conditions at a finite radius and mixed boundary conditions
at the asymptotic boundary. Further, we reproduce known results in the flat
space limit, as well as the large $c$ $S^2$ partition function, and conjecture
an answer for the finite $c$ $S^2$ partition function.
| [
{
"created": "Thu, 19 Dec 2019 13:18:19 GMT",
"version": "v1"
}
] | 2019-12-20 | [
[
"Mazenc",
"Edward A.",
""
],
[
"Shyam",
"Vasudev",
""
],
[
"Soni",
"Ronak M",
""
]
] | We propose a generalisation of the $T \bar{T}$ deformation to curved spaces by defining, and solving, a suitable flow equation for the partition function. We provide evidence it is well-defined at the quantum level. This proposal identifies, for any CFT, the $T \bar{T}$ deformed partition function and a certain wavefunction of 3d quantum gravity. This connection, true for any $c$, is not a holographic duality --- the 3d theory is a "fake bulk." We however emphasise that this reduces to the known holographic connection in the classical limit. Concretely, this means the deformed partition function solves exactly not just one global equation, defining the $T \bar{T}$ flow, but in fact a local Wheeler-de Witt equation, relating the $T \bar{T}$ operator to the trace of the stress tensor. This also immediately suggests a version of the $T \bar{T}$ deformation with locally varying deformation parameter. We flesh out the connection to 3d gravity, showing that the partition function of the deformed theory is precisely a 3d gravity path integral. In particular, in the classical limit, this path integral reproduces the holographic picture of Dirichlet boundary conditions at a finite radius and mixed boundary conditions at the asymptotic boundary. Further, we reproduce known results in the flat space limit, as well as the large $c$ $S^2$ partition function, and conjecture an answer for the finite $c$ $S^2$ partition function. |
1406.7222 | Yanyan Bu | Yanyan Bu and Michael Lublinsky | All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence | 5 pages, 1 figure;v2:Refs added, add comments on decomposition (20),
matched with published version | Phys. Rev. D 90, 086003 (2014) | 10.1103/PhysRevD.90.086003 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using fluid/gravity correspondence, we determine the (linearized) stress
energy tensor of $\mathcal{N}=4$ super-Yang-Mills theory at strong coupling
with all orders in derivatives of fluid velocity included. We find that the
dissipative effects are fully encoded in the shear term and a new one, which
emerges starting from the third order. We derive, for the first time, closed
linear holographic RG flow-type equations for (generalized) momenta-dependent
viscosity functions. In the hydrodynamic regime, we obtain the stress tensor up
to third order in derivative expansion analytically. We then numerically
determine the viscosity functions up to large momenta. As a check of our
results, we also derive the generalized Navier-Stokes equations from the
Einstein equations in the dual gravity.
| [
{
"created": "Fri, 27 Jun 2014 16:09:03 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Nov 2014 14:49:07 GMT",
"version": "v2"
}
] | 2014-11-04 | [
[
"Bu",
"Yanyan",
""
],
[
"Lublinsky",
"Michael",
""
]
] | Using fluid/gravity correspondence, we determine the (linearized) stress energy tensor of $\mathcal{N}=4$ super-Yang-Mills theory at strong coupling with all orders in derivatives of fluid velocity included. We find that the dissipative effects are fully encoded in the shear term and a new one, which emerges starting from the third order. We derive, for the first time, closed linear holographic RG flow-type equations for (generalized) momenta-dependent viscosity functions. In the hydrodynamic regime, we obtain the stress tensor up to third order in derivative expansion analytically. We then numerically determine the viscosity functions up to large momenta. As a check of our results, we also derive the generalized Navier-Stokes equations from the Einstein equations in the dual gravity. |
hep-th/9405084 | Larus Thorlacius | A. Strominger and L. Thorlacius | Conformally Invariant Boundary Conditions for Dilaton Gravity | 23 pages, 5 figures, (references added and figures included in a
uuencoded file) | Phys.Rev.D50:5177-5187,1994 | 10.1103/PhysRevD.50.5177 | NSF-ITP-94-34 | hep-th gr-qc | null | Quantum mechanical boundary conditions along a timelike line, corresponding
to the origin in radial coordinates, in two-dimensional dilaton gravity coupled
to $N$ matter fields, are considered. Conformal invariance and vacuum stability
severely constrain the possibilities. The simplest choice found corresponds to
a nonlinear Liouville-type boundary interaction. The scattering of low-energy
matter off the boundary can be computed perturbatively. It is found that weak
incident pulses induce damped oscillations at the boundary while large incident
pulses produce black holes. The response of the boundary to such pulses is
semi-classically characterized by a second order, nonlinear ordinary
differential equation which is analyzed numerically.
| [
{
"created": "Fri, 13 May 1994 00:47:42 GMT",
"version": "v1"
},
{
"created": "Fri, 13 May 1994 22:11:38 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Strominger",
"A.",
""
],
[
"Thorlacius",
"L.",
""
]
] | Quantum mechanical boundary conditions along a timelike line, corresponding to the origin in radial coordinates, in two-dimensional dilaton gravity coupled to $N$ matter fields, are considered. Conformal invariance and vacuum stability severely constrain the possibilities. The simplest choice found corresponds to a nonlinear Liouville-type boundary interaction. The scattering of low-energy matter off the boundary can be computed perturbatively. It is found that weak incident pulses induce damped oscillations at the boundary while large incident pulses produce black holes. The response of the boundary to such pulses is semi-classically characterized by a second order, nonlinear ordinary differential equation which is analyzed numerically. |
0910.5509 | Jimmy Hutasoit | Jimmy A. Hutasoit | Vacuum Ambiguity in de Sitter Space at Strong Coupling | 17 pages in JHEP style, references added | JHEP 1002:026,2010 | 10.1007/JHEP02(2010)026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that in the weak coupling regime, quantum field theories in
de Sitter space do not have a unique vacuum, but a class of vacua parametrized
by a complex parameter $\alpha$, i.e., the so-called $\alpha$-vacua. In this
article, using gauge/gravity duality, we calculate the symmetric two-point
function of strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills theory on
$dS_3$. We find that there is a class of de Sitter invariant vacua,
parametrized by a set of complex parameters $\{\alpha_{\nu}\}$.
| [
{
"created": "Wed, 28 Oct 2009 22:30:38 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2009 19:06:22 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Feb 2010 13:35:26 GMT",
"version": "v3"
}
] | 2010-03-18 | [
[
"Hutasoit",
"Jimmy A.",
""
]
] | It is well known that in the weak coupling regime, quantum field theories in de Sitter space do not have a unique vacuum, but a class of vacua parametrized by a complex parameter $\alpha$, i.e., the so-called $\alpha$-vacua. In this article, using gauge/gravity duality, we calculate the symmetric two-point function of strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills theory on $dS_3$. We find that there is a class of de Sitter invariant vacua, parametrized by a set of complex parameters $\{\alpha_{\nu}\}$. |
1410.4014 | Shigefumi Naka | Naohiro Kanda and Shigefumi Naka | Bi-Local Field in Gravitational Shock Wave Background | 12pages, 0figures | null | 10.1093/ptep/ptv025 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The particles with almost light velocity are able to be sources of the
shock-wave gravity (SWG). Then, for ultra-high-energy particles, there exist
two-body scatterings such that one particle is scattered from the gravitational
background produced by another particle. Since the spacetime of SWG is closely
related to a pp-wave solution of AdS-type background, this type of interaction
is also interesting in AdS dual gauge theories. From those viewpoints, the
scattering of point particles or strings by the SWG were studied. In this
paper, we study the case of the bi-local models, which are simple relativistic
bound systems having a close relation with specific modes of open strings. In
particular, we analyze the bound-state effect on the scattering amplitudes,
which describe the interaction between this model and SWG.
| [
{
"created": "Wed, 15 Oct 2014 11:21:53 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Oct 2014 11:48:16 GMT",
"version": "v2"
}
] | 2015-03-25 | [
[
"Kanda",
"Naohiro",
""
],
[
"Naka",
"Shigefumi",
""
]
] | The particles with almost light velocity are able to be sources of the shock-wave gravity (SWG). Then, for ultra-high-energy particles, there exist two-body scatterings such that one particle is scattered from the gravitational background produced by another particle. Since the spacetime of SWG is closely related to a pp-wave solution of AdS-type background, this type of interaction is also interesting in AdS dual gauge theories. From those viewpoints, the scattering of point particles or strings by the SWG were studied. In this paper, we study the case of the bi-local models, which are simple relativistic bound systems having a close relation with specific modes of open strings. In particular, we analyze the bound-state effect on the scattering amplitudes, which describe the interaction between this model and SWG. |
hep-th/9710138 | null | Debashis Gangopadhyay and Soumitra Sengupta | Construction of Maximally Symmetric Solutions for the Metric | latex, 13 pages | null | null | null | hep-th | null | We construct new maximally symmetric solutions for the metric. We then show
that for a string moving in a background consisting of maximally symmetric
gravity, dilaton field and second rank antisymmetric tensor field, the O(d)
$\otimes$ O(d) transformation on the vacuum solutions, in general, gives
inequivalent solutions that are not maximally symmetric.
| [
{
"created": "Fri, 17 Oct 1997 06:40:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gangopadhyay",
"Debashis",
""
],
[
"Sengupta",
"Soumitra",
""
]
] | We construct new maximally symmetric solutions for the metric. We then show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) $\otimes$ O(d) transformation on the vacuum solutions, in general, gives inequivalent solutions that are not maximally symmetric. |
1701.00682 | Sergei Kuzenko | Sergei M. Kuzenko, Ruben Manvelyan and Stefan Theisen | Off-shell superconformal higher spin multiplets in four dimensions | 24 pages; V2: published version; V3: sign factor in (5.12) corrected | null | 10.1007/JHEP07(2017)034 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate off-shell N=1 superconformal higher spin multiplets in four
spacetime dimensions and briefly discuss their coupling to conformal
supergravity. As an example, we explicitly work out the coupling of the
superconformal gravitino multiplet to conformal supergravity. The corresponding
action is super-Weyl invariant for arbitrary supergravity backgrounds. However,
it is gauge invariant only if the supersymmetric Bach tensor vanishes. This is
similar to linearised conformal supergravity in curved background.
| [
{
"created": "Tue, 3 Jan 2017 13:37:25 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Oct 2017 13:29:34 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Nov 2017 09:11:18 GMT",
"version": "v3"
}
] | 2017-12-01 | [
[
"Kuzenko",
"Sergei M.",
""
],
[
"Manvelyan",
"Ruben",
""
],
[
"Theisen",
"Stefan",
""
]
] | We formulate off-shell N=1 superconformal higher spin multiplets in four spacetime dimensions and briefly discuss their coupling to conformal supergravity. As an example, we explicitly work out the coupling of the superconformal gravitino multiplet to conformal supergravity. The corresponding action is super-Weyl invariant for arbitrary supergravity backgrounds. However, it is gauge invariant only if the supersymmetric Bach tensor vanishes. This is similar to linearised conformal supergravity in curved background. |
hep-th/9507076 | Paolo Valtancoli | A. Bellini, M. Ciafaloni and P. Valtancoli | Non-Perturbative Particle Dynamics | 11 pages, LaTeX, no figures | Phys.Lett. B357 (1995) 532-538 | 10.1016/0370-2693(95)00983-R | CERN-TH/95-193 | hep-th | null | We construct a non-perturbative, single-valued solution for the metric and
the motion of two interacting particles in ($2+1$)-Gravity, by using a Coulomb
gauge of conformal type. The method provides the mapping from multivalued (
minkowskian ) coordinates to single-valued ones, which solves the non-abelian
monodromies due to particles's momenta and can be applied also to the general
N-body case.
| [
{
"created": "Thu, 13 Jul 1995 10:36:02 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bellini",
"A.",
""
],
[
"Ciafaloni",
"M.",
""
],
[
"Valtancoli",
"P.",
""
]
] | We construct a non-perturbative, single-valued solution for the metric and the motion of two interacting particles in ($2+1$)-Gravity, by using a Coulomb gauge of conformal type. The method provides the mapping from multivalued ( minkowskian ) coordinates to single-valued ones, which solves the non-abelian monodromies due to particles's momenta and can be applied also to the general N-body case. |
hep-th/9602031 | P. Pouliot | P. Pouliot, M.J. Strassler (Rutgers University) | Duality and Dynamical Supersymmetry Breaking in $Spin(10)$ with a Spinor | 9 pages, uses harvmac, no figure | Phys.Lett. B375 (1996) 175-180 | 10.1016/0370-2693(96)00241-9 | RU-95-78 | hep-th hep-ph | null | We study ${\cal N}=1$ supersymmetric $Spin(10)$ chiral gauge theories with a
single spinor representation and $N$ vector representations. We present a dual
description in terms of an ${\cal N}=1$ supersymmetric $SU(N-5)$ chiral gauge
theory with a symmetric tensor, one fundamental and $N$ antifundamental
representations. The $Spin(10)$ theory with $N=0$ breaks supersymmetry at
strong coupling; we study how this arises at weak coupling in the dual theory,
which is a spontaneously broken gauge theory. Also, we recover various known
dualities, find new dual pairs and generate new examples of dynamical
supersymmetry breaking.
| [
{
"created": "Wed, 7 Feb 1996 02:00:12 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Pouliot",
"P.",
"",
"Rutgers University"
],
[
"Strassler",
"M. J.",
"",
"Rutgers University"
]
] | We study ${\cal N}=1$ supersymmetric $Spin(10)$ chiral gauge theories with a single spinor representation and $N$ vector representations. We present a dual description in terms of an ${\cal N}=1$ supersymmetric $SU(N-5)$ chiral gauge theory with a symmetric tensor, one fundamental and $N$ antifundamental representations. The $Spin(10)$ theory with $N=0$ breaks supersymmetry at strong coupling; we study how this arises at weak coupling in the dual theory, which is a spontaneously broken gauge theory. Also, we recover various known dualities, find new dual pairs and generate new examples of dynamical supersymmetry breaking. |
hep-th/0307092 | Nicholas Jones | Nicholas T. Jones and S.-H. Henry Tye | Spectral flow and boundary string field theory for angled D-branes | 32 pages, 9 figures; v2 references added; v3 discussion clarified | JHEP 0308 (2003) 037 | 10.1088/1126-6708/2003/08/037 | CLNS 03/1833 | hep-th | null | D-branes intersecting at an arbitrary fixed angle generically constitute a
configuration unstable toward recombination. The reconnection of the branes
nucleates at the intersection point and involves a generalization of the
process of brane decay of interest to non-perturbative string dynamics as well
as cosmology. After reviewing the string spectrum of systems of angled branes,
we show that worldsheet twist superfields may be used in the context of
Boundary Superstring Field Theory to describe the dynamics. Changing the angle
between the branes is seen from the worldsheet as spectral flow with boundary
insertions flowing from bosonic to fermionic operators. We calculate the
complete tachyon potential and the low energy effective action as a function of
angle and find an expression that interpolates between the brane-antibrane and
the Dirac-Born-Infeld actions. The potential captures the mechanism of D-brane
recombination and provides for interesting new physics for tachyon decay.
| [
{
"created": "Wed, 9 Jul 2003 20:25:16 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Aug 2003 15:10:31 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Sep 2003 00:05:41 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Jones",
"Nicholas T.",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] | D-branes intersecting at an arbitrary fixed angle generically constitute a configuration unstable toward recombination. The reconnection of the branes nucleates at the intersection point and involves a generalization of the process of brane decay of interest to non-perturbative string dynamics as well as cosmology. After reviewing the string spectrum of systems of angled branes, we show that worldsheet twist superfields may be used in the context of Boundary Superstring Field Theory to describe the dynamics. Changing the angle between the branes is seen from the worldsheet as spectral flow with boundary insertions flowing from bosonic to fermionic operators. We calculate the complete tachyon potential and the low energy effective action as a function of angle and find an expression that interpolates between the brane-antibrane and the Dirac-Born-Infeld actions. The potential captures the mechanism of D-brane recombination and provides for interesting new physics for tachyon decay. |
0905.4220 | Elisa Manrique | Elisa Manrique and Martin Reuter | Bare vs. Effective Fixed Point Action in Asymptotic Safety: The
Reconstruction Problem | 29 pages, 2 figures. Talk given by M.R. at the Workshop on Continuum
and Lattice Approaches to Quantum Gravity. Sept. 2008, Brighton UK | PoS CLAQG08:001,2011 | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a method for the (re)-construction of a regularized functional
integral, well defined in the ultraviolet limit, from a solution of the
functional renormalization group equation of the effective average action. The
functional integral is required to reproduce this solution. The method is of
particular interest for asymptotically safe theories. The bare action for the
Einstein-Hilbert truncation of Quantum Einstein Gravity (QEG) is computed and
its flow is analyzed. As a second example conformally reduced gravity is
explored. Various conceptual issues related to the reconstruction problem are
discussed.
| [
{
"created": "Tue, 26 May 2009 15:10:38 GMT",
"version": "v1"
}
] | 2011-08-17 | [
[
"Manrique",
"Elisa",
""
],
[
"Reuter",
"Martin",
""
]
] | We propose a method for the (re)-construction of a regularized functional integral, well defined in the ultraviolet limit, from a solution of the functional renormalization group equation of the effective average action. The functional integral is required to reproduce this solution. The method is of particular interest for asymptotically safe theories. The bare action for the Einstein-Hilbert truncation of Quantum Einstein Gravity (QEG) is computed and its flow is analyzed. As a second example conformally reduced gravity is explored. Various conceptual issues related to the reconstruction problem are discussed. |
0711.2994 | Sumit Das | Adel Awad, Sumit R. Das, K. Narayan and Sandip P. Trivedi | Gauge Theory Duals of Cosmological Backgrounds and their Energy Momentum
Tensors | 17 pages, LaTeX, v2: minor modifications | Phys.Rev.D77:046008,2008 | 10.1103/PhysRevD.77.046008 | UK/07-11 | hep-th | null | We revisit Type IIB supergravity backgrounds with null and spacelike
singularities with natural gauge theory duals proposed in {\tt hep-th/0602107}
and {\tt hep-th/0610053}. We show that for these backgrounds there are always
choices of the boundaries of these deformed $AdS_5 \times S^5$ space-times,
such that the dual gauge theories live on {\it flat} metrics and have
space-time dependent couplings. We present a new time dependent solution of
this kind where the effective string coupling is always bounded and vanishes at
a spacelike singularity in the bulk, and the space-time becomes $AdS_5 \times
S^5$ at early and late times. The holographic energy momentum tensor calculated
with a choice of flat boundary is shown to vanish for null backgrounds and to
be generically non-zero for time dependent backgrounds.
| [
{
"created": "Mon, 19 Nov 2007 18:50:38 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2007 15:05:11 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Awad",
"Adel",
""
],
[
"Das",
"Sumit R.",
""
],
[
"Narayan",
"K.",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We revisit Type IIB supergravity backgrounds with null and spacelike singularities with natural gauge theory duals proposed in {\tt hep-th/0602107} and {\tt hep-th/0610053}. We show that for these backgrounds there are always choices of the boundaries of these deformed $AdS_5 \times S^5$ space-times, such that the dual gauge theories live on {\it flat} metrics and have space-time dependent couplings. We present a new time dependent solution of this kind where the effective string coupling is always bounded and vanishes at a spacelike singularity in the bulk, and the space-time becomes $AdS_5 \times S^5$ at early and late times. The holographic energy momentum tensor calculated with a choice of flat boundary is shown to vanish for null backgrounds and to be generically non-zero for time dependent backgrounds. |
1410.8482 | Andrei Mironov | D.Galakhov, A.Mironov and A.Morozov | Wall Crossing Invariants: from quantum mechanics to knots | 36 pages, prepared for a special issue of JETP dedicated to the 60th
birthday of Valery Rubakov | ZhETF, 147 (2015) 623-663 (JETP, 120 (2015) 623-663) | 10.1134/S1063776115030206 | FIAN/TD-14/14; ITEP/TH-28/14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We offer a pedestrian level review of the wall-crossing invariants. The story
begins from the scattering theory in quantum mechanics where the spectrum
reshuffling can be related to permutations of S-matrices. In non-trivial
situations, starting from spin chains and matrix models, the S-matrices are
operator-valued and their algebra is described in terms of R- and mixing
(Racah) U-matrices. Then, the Kontsevich-Soibelman invariants are nothing but
the standard knot invariants made out of these data within the
Reshetikhin-Turaev-Witten approach. The R- and Racah matrices acquire a
relatively universal form in the quasiclassical limit, where the basic
reshufflings with the change of moduli are those of the Stokes line. Natural
from this point of view are matrices provided by the modular transformations of
conformal blocks (with the usual identification R=T and U=S), and in the
simplest case of the first degenerate field (2,1), when the conformal blocks
satisfy a second order Shroedinger-like equation, the invariants coincide with
the Jones (N=2) invariants of the associated knots. Another possibility to
construct knot invariants is to realize the cluster coordinates associated with
reshufflings of the Stokes lines immediately in terms of check-operators acting
on the solutions to the Knizhnik-Zamolodchikov equations. Then, the R-matrices
are realized as products of successive mutations in the cluster algebra and are
manifestly described in terms of quantum dilogarithms ultimately leading to the
Hikami construction of knot invariants.
| [
{
"created": "Thu, 30 Oct 2014 18:23:01 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Galakhov",
"D.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | We offer a pedestrian level review of the wall-crossing invariants. The story begins from the scattering theory in quantum mechanics where the spectrum reshuffling can be related to permutations of S-matrices. In non-trivial situations, starting from spin chains and matrix models, the S-matrices are operator-valued and their algebra is described in terms of R- and mixing (Racah) U-matrices. Then, the Kontsevich-Soibelman invariants are nothing but the standard knot invariants made out of these data within the Reshetikhin-Turaev-Witten approach. The R- and Racah matrices acquire a relatively universal form in the quasiclassical limit, where the basic reshufflings with the change of moduli are those of the Stokes line. Natural from this point of view are matrices provided by the modular transformations of conformal blocks (with the usual identification R=T and U=S), and in the simplest case of the first degenerate field (2,1), when the conformal blocks satisfy a second order Shroedinger-like equation, the invariants coincide with the Jones (N=2) invariants of the associated knots. Another possibility to construct knot invariants is to realize the cluster coordinates associated with reshufflings of the Stokes lines immediately in terms of check-operators acting on the solutions to the Knizhnik-Zamolodchikov equations. Then, the R-matrices are realized as products of successive mutations in the cluster algebra and are manifestly described in terms of quantum dilogarithms ultimately leading to the Hikami construction of knot invariants. |
hep-th/0212259 | Anca Tureanu | M. Chaichian, M. M. Sheikh-Jabbari and A. Tureanu | Comments on the Hydrogen Atom Spectrum in the Noncommutative Space | 3 pages, latex, no figures | Eur.Phys.J.C36:251-252,2004 | 10.1140/epjc/s2004-01886-1 | HIP-2002-67/TH | hep-th hep-ph | null | There has been disagreement in the literature on whether the hydrogen atom
spectrum receives any tree-level correction due to noncommutativity. Here we
shall clarify the issue and show that indeed a general argument on the
structure of proton as a nonelementary particle leads to the appearance of such
corrections. As a showcase, we evaluate the corrections in a simple
nonrelativistic quark model with a result in agreement with the previous one we
had obtained by considering the electron moving in the external electric field
of proton. Thus the previously obtained bound on the noncommutativity
parameter, $\theta < (10^4 GeV)^{-2}$, using the Lamb shift data, remains
valid.
| [
{
"created": "Fri, 20 Dec 2002 19:11:50 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Chaichian",
"M.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Tureanu",
"A.",
""
]
] | There has been disagreement in the literature on whether the hydrogen atom spectrum receives any tree-level correction due to noncommutativity. Here we shall clarify the issue and show that indeed a general argument on the structure of proton as a nonelementary particle leads to the appearance of such corrections. As a showcase, we evaluate the corrections in a simple nonrelativistic quark model with a result in agreement with the previous one we had obtained by considering the electron moving in the external electric field of proton. Thus the previously obtained bound on the noncommutativity parameter, $\theta < (10^4 GeV)^{-2}$, using the Lamb shift data, remains valid. |
1301.6524 | Amir Zait | Micha Berkooz, Anna Frishman and Amir Zait | Stability of rapidly-rotating charged black holes in $AdS_5 \times S^5$ | 30 pages, 2 figures. v2: Acknowledgments added | null | 10.1088/0264-9381/30/12/125012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the stability of charged rotating black holes in a consistent
truncation of Type $IIB$ Supergravity on $AdS_5 \times S^5$ that degenerate to
extremal black holes with zero entropy. These black holes have scaling
properties between charge and angular momentum similar to those of Fermi
surface-like operators in a subsector of ${\cal N}=4$ SYM. By solving the
equation of motion for a massless scalar field in this background, using
matched asymptotic expansion followed by a numerical solution scheme, we are
able to compute its Quasi-Normal modes, and analyze it's regime of
(in)stability. We find that the black hole is unstable when its angular
velocity with respect to the horizon exceeds 1 (in units of $1/l_{AdS}$). A
study of the relevant thermodynamic Hessian reveals a local thermodynamic
instability which occurs at the same region of parameter space. We comment on
the endpoints of this instability.
| [
{
"created": "Mon, 28 Jan 2013 12:16:22 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Mar 2013 06:59:55 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Berkooz",
"Micha",
""
],
[
"Frishman",
"Anna",
""
],
[
"Zait",
"Amir",
""
]
] | We study the stability of charged rotating black holes in a consistent truncation of Type $IIB$ Supergravity on $AdS_5 \times S^5$ that degenerate to extremal black holes with zero entropy. These black holes have scaling properties between charge and angular momentum similar to those of Fermi surface-like operators in a subsector of ${\cal N}=4$ SYM. By solving the equation of motion for a massless scalar field in this background, using matched asymptotic expansion followed by a numerical solution scheme, we are able to compute its Quasi-Normal modes, and analyze it's regime of (in)stability. We find that the black hole is unstable when its angular velocity with respect to the horizon exceeds 1 (in units of $1/l_{AdS}$). A study of the relevant thermodynamic Hessian reveals a local thermodynamic instability which occurs at the same region of parameter space. We comment on the endpoints of this instability. |
hep-th/9112075 | null | V.Spiridonov | Exactly Solvable Potentials and Quantum Algebras | 8 pages, LATEX. Essentially improved version | Phys.Rev.Lett.69:398-401,1992 | 10.1103/PhysRevLett.69.398 | UdeM-LPN-TH75 | hep-th | null | A set of exactly solvable one-dimensional quantum mechanical potentials is
described. It is defined by a finite-difference-differential equation
generating in the limiting cases the Rosen-Morse, harmonic, and P\"oschl-Teller
potentials. General solution includes Shabat's infinite number soliton system
and leads to raising and lowering operators satisfying $q$-deformed harmonic
oscillator algebra. In the latter case energy spectrum is purely exponential
and physical states form a reducible representation of the quantum conformal
algebra $su_q(1,1)$.
| [
{
"created": "Mon, 30 Dec 1991 21:30:15 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jul 1992 18:36:14 GMT",
"version": "v2"
}
] | 2009-01-23 | [
[
"Spiridonov",
"V.",
""
]
] | A set of exactly solvable one-dimensional quantum mechanical potentials is described. It is defined by a finite-difference-differential equation generating in the limiting cases the Rosen-Morse, harmonic, and P\"oschl-Teller potentials. General solution includes Shabat's infinite number soliton system and leads to raising and lowering operators satisfying $q$-deformed harmonic oscillator algebra. In the latter case energy spectrum is purely exponential and physical states form a reducible representation of the quantum conformal algebra $su_q(1,1)$. |
1705.04004 | Francesco Toppan | Francesco Toppan and Mauricio Valenzuela | Higher Spin Symmetries and Deformed Schr\"odinger Algebra in Conformal
Mechanics | Final version to appear in Adv. Math. Phys | Adv. Math. Phys. (2018), Art. ID 6263150 | 10.1155/2018/6263150 | CBPF-NF-001/17 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamical symmetries of $1+1$-dimensional Matrix Partial Differential
Equations with a Calogero potential (with/without the presence of an extra
oscillatorial De Alfaro-Fubini-Furlan, DFF, damping term) are investigated. The
first-order invariant differential operators induce several invariant algebras
and superalgebras. Besides the $sl(2)\oplus u(1)$ invariance of the Calogero
Conformal Mechanics, an $osp(2|2)$ invariant superalgebra, realized by
first-order and second-order differential operators, is obtained. The invariant
algebras with an infinite tower of generators are given by the universal
enveloping algebra of the deformed Heisenberg algebra, which is shown to be
equivalent to a deformed version of the Schr\"odinger algebra. This vector
space also gives rise to a higher spin (gravity) superalgebra. We furthermore
prove that the pure and DFF Matrix Calogero PDEs possess isomorphic dynamical
symmetries, being related by a similarity transformation and a redefinition of
the time variable.
| [
{
"created": "Thu, 11 May 2017 04:05:17 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Aug 2018 22:21:45 GMT",
"version": "v2"
}
] | 2018-09-05 | [
[
"Toppan",
"Francesco",
""
],
[
"Valenzuela",
"Mauricio",
""
]
] | The dynamical symmetries of $1+1$-dimensional Matrix Partial Differential Equations with a Calogero potential (with/without the presence of an extra oscillatorial De Alfaro-Fubini-Furlan, DFF, damping term) are investigated. The first-order invariant differential operators induce several invariant algebras and superalgebras. Besides the $sl(2)\oplus u(1)$ invariance of the Calogero Conformal Mechanics, an $osp(2|2)$ invariant superalgebra, realized by first-order and second-order differential operators, is obtained. The invariant algebras with an infinite tower of generators are given by the universal enveloping algebra of the deformed Heisenberg algebra, which is shown to be equivalent to a deformed version of the Schr\"odinger algebra. This vector space also gives rise to a higher spin (gravity) superalgebra. We furthermore prove that the pure and DFF Matrix Calogero PDEs possess isomorphic dynamical symmetries, being related by a similarity transformation and a redefinition of the time variable. |
1106.1097 | Antoine Van Proeyen | Daniel Z. Freedman and Antoine Van Proeyen | Ingredients of supergravity | 8 pages, to be published in Fortsch. Phys. as proceedings of the 10th
Hellenic School on Elementary Particle Physics and Gravity, Corfu 2010; v2:
reference added | null | 10.1002/prop.201100059 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes give a summary of lectures given in Corfu in 2010 on basic
ingredients in the study of supergravity. It also summarizes initial chapters
of a forthcoming book `Supergravity' by the same authors.
| [
{
"created": "Mon, 6 Jun 2011 15:48:31 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jun 2011 09:00:21 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Freedman",
"Daniel Z.",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | These notes give a summary of lectures given in Corfu in 2010 on basic ingredients in the study of supergravity. It also summarizes initial chapters of a forthcoming book `Supergravity' by the same authors. |
hep-th/0612010 | Adolfo Malbouisson | C.A. Linhares, A.P.C. Malbouisson, I. Roditi | Asymptotic Expansions of Feynman Amplitudes in a Generic Covariant Gauge | 10 pages, revtex, no figures | Int.J.Mod.Phys.A23:1089-1103,2008 | 10.1142/S0217751X08039402 | null | hep-th | null | We show in this paper how to construct Symanzik polynomials and the Schwinger
parametric representation of Feynman amplitudes for gauge theories in an
unspecified covariant gauge. The complete Mellin representation of such
amplitudes is then established in terms of invariants (squared sums of external
momenta and squared masses). From the scaling of the invariants by a parameter
we extend for the present situation a theorem on asymptotic expansions,
previously proven for the case of scalar field theories, valid for both
ultraviolet and infrared behaviors of Feynman amplitudes.
| [
{
"created": "Fri, 1 Dec 2006 17:33:57 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Apr 2007 20:49:54 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Linhares",
"C. A.",
""
],
[
"Malbouisson",
"A. P. C.",
""
],
[
"Roditi",
"I.",
""
]
] | We show in this paper how to construct Symanzik polynomials and the Schwinger parametric representation of Feynman amplitudes for gauge theories in an unspecified covariant gauge. The complete Mellin representation of such amplitudes is then established in terms of invariants (squared sums of external momenta and squared masses). From the scaling of the invariants by a parameter we extend for the present situation a theorem on asymptotic expansions, previously proven for the case of scalar field theories, valid for both ultraviolet and infrared behaviors of Feynman amplitudes. |
2007.07169 | Nilakash Sorokhaibam | Nilakash Sorokhaibam | Traversable wormhole without interaction | 12 pages, 10 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that strong quantum entanglement can support a stable traversable
wormhole without any explicit interaction or tunnelling term between the two
boundary theories of the wormhole. Specifically we work with two complex SYK
models. The entangled state is prepared using a tunnelling term in imaginary
time but the tunnelling term is removed from the time evolution operator so the
two complex SYK models are not coupled. Low temperature states show revival
dynamics which is the hallmark of a traversable wormhole geometry. To send any
meaningful information from one system to the other, one only needs to turn on
a very small interaction term. The technique that we are employing can be
applied to other systems to study aspects of quantum entanglement.
| [
{
"created": "Tue, 14 Jul 2020 16:40:12 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Sorokhaibam",
"Nilakash",
""
]
] | We show that strong quantum entanglement can support a stable traversable wormhole without any explicit interaction or tunnelling term between the two boundary theories of the wormhole. Specifically we work with two complex SYK models. The entangled state is prepared using a tunnelling term in imaginary time but the tunnelling term is removed from the time evolution operator so the two complex SYK models are not coupled. Low temperature states show revival dynamics which is the hallmark of a traversable wormhole geometry. To send any meaningful information from one system to the other, one only needs to turn on a very small interaction term. The technique that we are employing can be applied to other systems to study aspects of quantum entanglement. |
hep-th/0407007 | V. Parameswaran Nair | Dimitra Karabali, V.P. Nair and S. Randjbar-Daemi | Fuzzy spaces, the M(atrix) model and the quantum Hall effect | LaTeX, 33 pages, to appear in the Ian Kogan Memorial volume, ``From
Fields to Strings: Circumnavigating Theoretical Physics'', ref.'s added | null | 10.1142/9789812775344_0021 | IC/2004/37, CCNY-HEP-04/5 | hep-th | null | This is a short review of recent work on fuzzy spaces in their relation to
the M(atrix) theory and the quantum Hall effect. We give an introduction to
fuzzy spaces and how the limit of large matrices is obtained. The complex
projective spaces ${\bf CP}^k$, and to a lesser extent spheres, are considered.
Quantum Hall effect and the behavior of edge excitations of a droplet of
fermions on these spaces and their relation to fuzzy spaces are also discussed.
| [
{
"created": "Thu, 1 Jul 2004 23:42:36 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Jul 2004 14:24:15 GMT",
"version": "v2"
}
] | 2016-11-23 | [
[
"Karabali",
"Dimitra",
""
],
[
"Nair",
"V. P.",
""
],
[
"Randjbar-Daemi",
"S.",
""
]
] | This is a short review of recent work on fuzzy spaces in their relation to the M(atrix) theory and the quantum Hall effect. We give an introduction to fuzzy spaces and how the limit of large matrices is obtained. The complex projective spaces ${\bf CP}^k$, and to a lesser extent spheres, are considered. Quantum Hall effect and the behavior of edge excitations of a droplet of fermions on these spaces and their relation to fuzzy spaces are also discussed. |
0910.3145 | Christoph Schweigert | J\"urgen Fuchs, Ingo Runkel and Christoph Schweigert | Twenty-five years of two-dimensional rational conformal field theory | A review for the 50th anniversary of the Journal of Mathematical
Physics. Some references added, typos corrected | J.Math.Phys.51:015210,2010 | 10.1063/1.3277118 | ZMP-HH/09-21, Hamburger Beitraege zur Mathematik Nr. 394 | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we try to give a condensed panoramic view of the development
of two-dimensional rational conformal field theory in the last twenty-five
years.
| [
{
"created": "Fri, 16 Oct 2009 15:50:27 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jan 2010 14:24:28 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Fuchs",
"Jürgen",
""
],
[
"Runkel",
"Ingo",
""
],
[
"Schweigert",
"Christoph",
""
]
] | In this article we try to give a condensed panoramic view of the development of two-dimensional rational conformal field theory in the last twenty-five years. |
1311.3361 | Azadeh Maleknejad | A. Maleknejad and E. Erfani | Chromo-Natural Model in Anisotropic Background | 15 pagers, 2 figures | JCAP03(2014)016 | 10.1088/1475-7516/2014/03/016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we study the chromo-natural inflation model in the anisotropic
setup. Initiating inflation from Bianchi type-I cosmology, we analyze the
system thoroughly during the slow-roll inflation, from both analytical and
numerical points of view. We show that the isotropic FRW inflation is an
attractor of the system. In other words, anisotropies are damped within few
$e$--folds and the chromo-natural model respects the cosmic no-hair conjecture.
Furthermore, we demonstrate that in the slow-roll limit, the anisotropies in
both chromo-natural and gauge-flation models share the same dynamics.
| [
{
"created": "Thu, 14 Nov 2013 02:12:19 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Mar 2014 12:28:15 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Maleknejad",
"A.",
""
],
[
"Erfani",
"E.",
""
]
] | In this work we study the chromo-natural inflation model in the anisotropic setup. Initiating inflation from Bianchi type-I cosmology, we analyze the system thoroughly during the slow-roll inflation, from both analytical and numerical points of view. We show that the isotropic FRW inflation is an attractor of the system. In other words, anisotropies are damped within few $e$--folds and the chromo-natural model respects the cosmic no-hair conjecture. Furthermore, we demonstrate that in the slow-roll limit, the anisotropies in both chromo-natural and gauge-flation models share the same dynamics. |
hep-th/9310160 | Zurab Kakushadze | Zurab Kakushadze and S.-H. Henry Tye | Kac and New Determinants for Fractional Superconformal Algebras | 33 pages, Revtex 3.0, Cornell preprint CLNS 93/1243 | Phys.Rev. D49 (1994) 4122-4138 | 10.1103/PhysRevD.49.4122 | null | hep-th | null | We derive the Kac and new determinant formulae for an arbitrary (integer)
level $K$ fractional superconformal algebra using the BRST cohomology
techniques developed in conformal field theory. In particular, we reproduce the
Kac determinants for the Virasoro ($K=1$) and superconformal ($K=2$) algebras.
For $K\geq3$ there always exist modules where the Kac determinant factorizes
into a product of more fundamental new determinants. Using our results for
general $K$, we sketch the non-unitarity proof for the $SU(2)$ minimal series;
as expected, the only unitary models are those already known from the coset
construction. We apply the Kac determinant formulae for the spin-4/3
parafermion current algebra ({\em i.e.}, the $K=4$ fractional superconformal
algebra) to the recently constructed three-dimensional flat Minkowski
space-time representation of the spin-4/3 fractional superstring. We prove the
no-ghost theorem for the space-time bosonic sector of this theory; that is, its
physical spectrum is free of negative-norm states.
| [
{
"created": "Sun, 24 Oct 1993 19:25:34 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kakushadze",
"Zurab",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] | We derive the Kac and new determinant formulae for an arbitrary (integer) level $K$ fractional superconformal algebra using the BRST cohomology techniques developed in conformal field theory. In particular, we reproduce the Kac determinants for the Virasoro ($K=1$) and superconformal ($K=2$) algebras. For $K\geq3$ there always exist modules where the Kac determinant factorizes into a product of more fundamental new determinants. Using our results for general $K$, we sketch the non-unitarity proof for the $SU(2)$ minimal series; as expected, the only unitary models are those already known from the coset construction. We apply the Kac determinant formulae for the spin-4/3 parafermion current algebra ({\em i.e.}, the $K=4$ fractional superconformal algebra) to the recently constructed three-dimensional flat Minkowski space-time representation of the spin-4/3 fractional superstring. We prove the no-ghost theorem for the space-time bosonic sector of this theory; that is, its physical spectrum is free of negative-norm states. |
hep-th/9902002 | Cesar Daniel Fosco | C.D. Fosco, R.E. Gamboa Saravi and F.A. Schaposnik | On the Two Dimensional Fermion Determinant at Finite Temperature | 10 pages, Latex | null | null | null | hep-th | null | We evaluate the fermionic determinant for massless QED_2 at finite
temperature, in the imaginary time formalism. By using a decoupling
transformation of the fermionic fields, we show that the determinant factorizes
into the usual, temperature independent expression, times an extra factor which
depends on the temperature and on the constant component of the gauge field.
| [
{
"created": "Sat, 30 Jan 1999 14:03:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fosco",
"C. D.",
""
],
[
"Saravi",
"R. E. Gamboa",
""
],
[
"Schaposnik",
"F. A.",
""
]
] | We evaluate the fermionic determinant for massless QED_2 at finite temperature, in the imaginary time formalism. By using a decoupling transformation of the fermionic fields, we show that the determinant factorizes into the usual, temperature independent expression, times an extra factor which depends on the temperature and on the constant component of the gauge field. |
hep-th/9309017 | Craig Tracy | John Palmer, Morris Beatty, Craig A. Tracy | Tau functions for the Dirac operator on the Poincare' disk | 92 pages | Commun.Math.Phys. 165 (1994) 97-174 | 10.1007/BF02099740 | null | hep-th math-ph math.MP nlin.SI solv-int | null | Correlation functions for holonomic fields on the Poincare' disk are
analyzed. The two point functions are shown to be expressible in terms of
Painleve' functions of type VI.
| [
{
"created": "Thu, 2 Sep 1993 21:19:15 GMT",
"version": "v1"
}
] | 2009-07-11 | [
[
"Palmer",
"John",
""
],
[
"Beatty",
"Morris",
""
],
[
"Tracy",
"Craig A.",
""
]
] | Correlation functions for holonomic fields on the Poincare' disk are analyzed. The two point functions are shown to be expressible in terms of Painleve' functions of type VI. |
hep-th/9805130 | Cesar Fosco | C. D. Fosco and J.C. Le Guillou | Decoupling Transformations in Path Integral Bosonization | 22 pages, Latex | Nucl.Phys. B535 (1998) 483-498 | 10.1016/S0550-3213(98)00629-4 | LAPTH-685/98 | hep-th | null | We construct transformations that decouple fermionic fields in interaction
with a gauge field, in the path integral representation of the generating
functional. Those transformations express the original fermionic fields in
terms of non-interacting ones, through non-local functionals depending on the
gauge field. This procedure, holding true in any number of spacetime dimensions
both in the Abelian and non-Abelian cases, is then applied to the path integral
bosonization of the Thirring model in 3 dimensions. Knowledge of the decoupling
transformations allows us, contrarily to previous bosonizations, to obtain the
bosonization with an explicit expression of the fermion fields in terms of
bosonic ones and free fermionic fields. We also explain the relation between
our technique, in the two dimensional case, and the usual decoupling in 2
dimensions.
| [
{
"created": "Wed, 20 May 1998 19:08:10 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Fosco",
"C. D.",
""
],
[
"Guillou",
"J. C. Le",
""
]
] | We construct transformations that decouple fermionic fields in interaction with a gauge field, in the path integral representation of the generating functional. Those transformations express the original fermionic fields in terms of non-interacting ones, through non-local functionals depending on the gauge field. This procedure, holding true in any number of spacetime dimensions both in the Abelian and non-Abelian cases, is then applied to the path integral bosonization of the Thirring model in 3 dimensions. Knowledge of the decoupling transformations allows us, contrarily to previous bosonizations, to obtain the bosonization with an explicit expression of the fermion fields in terms of bosonic ones and free fermionic fields. We also explain the relation between our technique, in the two dimensional case, and the usual decoupling in 2 dimensions. |
hep-th/9405199 | Erika Zynda | C. Teitelboim | Topological Roots of Black Hole Entropy | 11 pages, no figures, use latex, IASSNS-HEP 93/35 | null | null | null | hep-th gr-qc | null | We review the insights into black hole entropy that arise from the
formulation of gravitation theory in terms of dimensional continuation. The
role of the horizon area and the deficit angle of a conical singularity at the
horizon as canonically conjugate dynamical variables is analyzed. The path
integral and the extension of the Wheeler-De Witt equation for black holes are
discussed.
| [
{
"created": "Tue, 31 May 1994 19:19:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Teitelboim",
"C.",
""
]
] | We review the insights into black hole entropy that arise from the formulation of gravitation theory in terms of dimensional continuation. The role of the horizon area and the deficit angle of a conical singularity at the horizon as canonically conjugate dynamical variables is analyzed. The path integral and the extension of the Wheeler-De Witt equation for black holes are discussed. |
1011.4733 | Mauricio Romo | Mauricio Romo | Aspects of ABJM orbifolds with discrete torsion | null | null | 10.1007/JHEP09(2011)122 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze orbifolds with discrete torsion of the ABJM theory by a finite
subgroup $\Gamma$ of $SU(2)\times SU(2)$ . Discrete torsion is implemented by
twisting the crossed product algebra resulting after orbifolding. It is shown
that, in general, the order $m$ of the cocycle we chose to twist the algebra by
enters in a non trivial way in the moduli space. To be precise, the M-theory
fiber is multiplied by a factor of $m$ in addition to the other effects that
were found before in the literature. Therefore we got a
$\mathbb{Z}_{\frac{k|\Gamma|}{m}}$ action on the fiber. We present a general
analysis on how this quotient arises along with a detailed analysis of the
cases where $\Gamma$ is abelian.
| [
{
"created": "Mon, 22 Nov 2010 05:37:18 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Romo",
"Mauricio",
""
]
] | We analyze orbifolds with discrete torsion of the ABJM theory by a finite subgroup $\Gamma$ of $SU(2)\times SU(2)$ . Discrete torsion is implemented by twisting the crossed product algebra resulting after orbifolding. It is shown that, in general, the order $m$ of the cocycle we chose to twist the algebra by enters in a non trivial way in the moduli space. To be precise, the M-theory fiber is multiplied by a factor of $m$ in addition to the other effects that were found before in the literature. Therefore we got a $\mathbb{Z}_{\frac{k|\Gamma|}{m}}$ action on the fiber. We present a general analysis on how this quotient arises along with a detailed analysis of the cases where $\Gamma$ is abelian. |
2306.07784 | Yunfeng Jiang | Miao He, Jue Hou, Yunfeng Jiang | $T\bar{T}$-deformed Entanglement Entropy for Integrable Quantum Field
Theory | A miscalculation is corrected, conclusions are modified, references
added | null | null | null | hep-th nlin.SI | http://creativecommons.org/licenses/by/4.0/ | We calculate the $T\bar{T}$-deformed entanglement entropy for integrable
quantum field theories (IQFTs) using the form factor bootstrap approach. We
solve the form factor bootstrap axioms for the branch-point twist fields and
obtain the deformed form factors. Using these form factors, we compute the
deformed von Neuman entropy up to two particle contributions. The solution of
the form factor axioms is not unique. We find that for the simplest solution of
the bootstrap axioms, the UV limit of the entanglement entropy takes the same
form as the undeformed one, but the effective central charge is deformed. For
solutions with additional CDD-like factors, we can have different behaviors.
The IR corrections, which only depends on the particle spectrum is untouched.
| [
{
"created": "Tue, 13 Jun 2023 14:07:28 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jan 2024 00:21:40 GMT",
"version": "v2"
}
] | 2024-01-23 | [
[
"He",
"Miao",
""
],
[
"Hou",
"Jue",
""
],
[
"Jiang",
"Yunfeng",
""
]
] | We calculate the $T\bar{T}$-deformed entanglement entropy for integrable quantum field theories (IQFTs) using the form factor bootstrap approach. We solve the form factor bootstrap axioms for the branch-point twist fields and obtain the deformed form factors. Using these form factors, we compute the deformed von Neuman entropy up to two particle contributions. The solution of the form factor axioms is not unique. We find that for the simplest solution of the bootstrap axioms, the UV limit of the entanglement entropy takes the same form as the undeformed one, but the effective central charge is deformed. For solutions with additional CDD-like factors, we can have different behaviors. The IR corrections, which only depends on the particle spectrum is untouched. |
hep-th/9512049 | Gennady Danilov | G. S. Danilov, I.T. Dyatlov and V.Yu.Petrov | Electromagnetic fields providing charge screening and confinement in
two-dimensional massless electrodynamics | 19 pages, LATEX | null | null | Preprint LNPI-1099, 1985 | hep-th | null | The charge screening, confinement of fermion quantum numbers and the chiral
condensate formation in two-dimensional QED is studied in details. It is shown
that charge screening and confinement of fermion number in two-dimensional QED
is due to an appearance of gauge fields which nullify the Dirac determinant. An
appearance of the fields of another type but with the same property yield the
chiral condensate formation. In addition, these second type fields ensure the
"softness" of the charge screening in a process which is analogous to the
$e^+e^-$ annihilation.
| [
{
"created": "Thu, 7 Dec 1995 14:28:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Danilov",
"G. S.",
""
],
[
"Dyatlov",
"I. T.",
""
],
[
"Petrov",
"V. Yu.",
""
]
] | The charge screening, confinement of fermion quantum numbers and the chiral condensate formation in two-dimensional QED is studied in details. It is shown that charge screening and confinement of fermion number in two-dimensional QED is due to an appearance of gauge fields which nullify the Dirac determinant. An appearance of the fields of another type but with the same property yield the chiral condensate formation. In addition, these second type fields ensure the "softness" of the charge screening in a process which is analogous to the $e^+e^-$ annihilation. |
2010.07124 | Sergei Kuzenko | Sergei M. Kuzenko and Alec E. Pindur | Massless particles in five and higher dimensions | 8 pages; V2: typos corrected, comments and references added; V3: new
relations in section 3; V4: published version | null | 10.1016/j.physletb.2020.136020 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a five-dimensional analogue of Wigner's operator equation
${\mathbb W}_a = \lambda P_a$, where ${\mathbb W}_a $ is the Pauli-Lubanski
vector, $P_a$ the energy-momentum operator, and $\lambda$ the helicity of a
massless particle. Higher dimensional generalisations are also given.
| [
{
"created": "Wed, 14 Oct 2020 14:29:36 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2020 09:21:47 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Nov 2020 13:41:33 GMT",
"version": "v3"
},
{
"created": "Thu, 13 May 2021 08:03:21 GMT",
"version": "v4"
}
] | 2021-05-14 | [
[
"Kuzenko",
"Sergei M.",
""
],
[
"Pindur",
"Alec E.",
""
]
] | We describe a five-dimensional analogue of Wigner's operator equation ${\mathbb W}_a = \lambda P_a$, where ${\mathbb W}_a $ is the Pauli-Lubanski vector, $P_a$ the energy-momentum operator, and $\lambda$ the helicity of a massless particle. Higher dimensional generalisations are also given. |
hep-th/0512019 | Ryo Suzuki | Ryo Suzuki and Yuji Tachikawa | More anomaly-free models of six-dimensional gauged supergravity | 20 pages, v3: published version | J.Math.Phys.47:062302,2006 | 10.1063/1.2209767 | UT-05-17, NFS-KITP-05-100 | hep-th | null | We construct a huge number of anomaly-free models of six-dimensional N =
(1,0) gauged supergravity. The gauge groups are products of U(1) and SU(2), and
every hyperino is charged under some of the gauge groups. It is also found that
the potential may have flat directions when the R-symmetry is diagonally gauged
together with another gauge group. In an appendix, we determine the
contribution to the global SU(2) anomaly from symplectic Majorana Weyl fermions
in six dimensions.
| [
{
"created": "Thu, 1 Dec 2005 20:46:05 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Dec 2005 15:51:04 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Sep 2006 14:49:18 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Suzuki",
"Ryo",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | We construct a huge number of anomaly-free models of six-dimensional N = (1,0) gauged supergravity. The gauge groups are products of U(1) and SU(2), and every hyperino is charged under some of the gauge groups. It is also found that the potential may have flat directions when the R-symmetry is diagonally gauged together with another gauge group. In an appendix, we determine the contribution to the global SU(2) anomaly from symplectic Majorana Weyl fermions in six dimensions. |
hep-th/0310162 | Anupam Mazumdar | Anupam Mazumdar | Low scale inflation with large number of e-foldings | 7 pages + References added | null | null | null | hep-th astro-ph hep-ph | null | In this paper we illustrate an interesting example of low scale inflation
with an extremely large number of e-foldings. This realization can be
implemented easily in hybrid inflation model where usually inflation ends via
phase transition. However this phase transition can be so prolong that there is
a subsequent epoch of slow roll inflation governed by the dynamics of two
fields. This second bout of inflation can even resolve the $\eta$ problem which
plagues certain kind of inflationary models. However we also notice that for
extremely low scale inflation it is hard to obtain the right amplitude for the
scalar density perturbations. In this regard we invoke alternative mechanisms
for generating fluctuations. We also describe how to ameliorate the
cosmological moduli problem in this context.
| [
{
"created": "Thu, 16 Oct 2003 22:40:06 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Oct 2003 20:37:30 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Mazumdar",
"Anupam",
""
]
] | In this paper we illustrate an interesting example of low scale inflation with an extremely large number of e-foldings. This realization can be implemented easily in hybrid inflation model where usually inflation ends via phase transition. However this phase transition can be so prolong that there is a subsequent epoch of slow roll inflation governed by the dynamics of two fields. This second bout of inflation can even resolve the $\eta$ problem which plagues certain kind of inflationary models. However we also notice that for extremely low scale inflation it is hard to obtain the right amplitude for the scalar density perturbations. In this regard we invoke alternative mechanisms for generating fluctuations. We also describe how to ameliorate the cosmological moduli problem in this context. |
hep-th/0502109 | Mohammad Reza Setare | M R Setare | The Self-Gravitational Corrections as the Source for Stiff Matter on the
Brane in $SAdS_5$ Bulk | 7 pages, no figure | Phys.Lett. B612 (2005) 100-104 | 10.1016/j.physletb.2005.03.029 | null | hep-th | null | A $D3-$ brane with non-zero energy density is considered as the boundary of a
five dimensional Schwarzschild anti de Sitter bulk background. Taking into
account the semi-classical corrections to the black hole entropy that arise as
a result of the self-gravitational effect, and employing the AdS/CFT
correspondence, we obtain the self-gravitational correction to the first
Friedmann-like equation. The additional term in the Hubble equation due to the
self-gravitational effect goes as $a^{-6}$. Thus, the self-gravitational
corrections act as a source of stiff matter contrary to standard FRW cosmology
where the charge of the black hole plays this role.
| [
{
"created": "Fri, 11 Feb 2005 09:01:33 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2005 13:30:11 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Setare",
"M R",
""
]
] | A $D3-$ brane with non-zero energy density is considered as the boundary of a five dimensional Schwarzschild anti de Sitter bulk background. Taking into account the semi-classical corrections to the black hole entropy that arise as a result of the self-gravitational effect, and employing the AdS/CFT correspondence, we obtain the self-gravitational correction to the first Friedmann-like equation. The additional term in the Hubble equation due to the self-gravitational effect goes as $a^{-6}$. Thus, the self-gravitational corrections act as a source of stiff matter contrary to standard FRW cosmology where the charge of the black hole plays this role. |
2205.12978 | Shai Chester | Shai M. Chester | Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD | 23 pages plus appendix, 7 figures, v4 fixed typos | null | 10.1007/JHEP01(2023)107 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We derive exact relations between certain integrals of the conserved flavor
current four point function in 4d $\mathcal{N}=2$ conformal field theories
(CFTs) and derivatives of the mass deformed sphere free energy, which can be
computed exactly for gauge theories using supersymmetric localization. For
conformal gauge theories with flavor groups of rank greater than one, there are
at least two such integrated constraints, which can then be combined with the
numerical conformal bootstrap to bound CFT data as a function of the
complexified gauge coupling $\tau$. We apply this strategy to the case of
$SU(2)$ conformal SQCD with flavor group $SO(8)$, where we compute bounds on
unprotected scaling dimensions as a function of $\tau$ that match the free
theory limit, and exhibit the expected mixing between the action of the
$SL(2,\mathbb{Z})$ duality group and $SO(8)$ triality.
| [
{
"created": "Wed, 25 May 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Sep 2022 21:10:23 GMT",
"version": "v2"
},
{
"created": "Sun, 25 Dec 2022 13:32:46 GMT",
"version": "v3"
},
{
"created": "Mon, 1 May 2023 00:06:08 GMT",
"version": "v4"
}
] | 2023-05-02 | [
[
"Chester",
"Shai M.",
""
]
] | We derive exact relations between certain integrals of the conserved flavor current four point function in 4d $\mathcal{N}=2$ conformal field theories (CFTs) and derivatives of the mass deformed sphere free energy, which can be computed exactly for gauge theories using supersymmetric localization. For conformal gauge theories with flavor groups of rank greater than one, there are at least two such integrated constraints, which can then be combined with the numerical conformal bootstrap to bound CFT data as a function of the complexified gauge coupling $\tau$. We apply this strategy to the case of $SU(2)$ conformal SQCD with flavor group $SO(8)$, where we compute bounds on unprotected scaling dimensions as a function of $\tau$ that match the free theory limit, and exhibit the expected mixing between the action of the $SL(2,\mathbb{Z})$ duality group and $SO(8)$ triality. |
1010.1167 | Simon Caron-Huot | Simon Caron-Huot | Notes on the scattering amplitude / Wilson loop duality | 25 pages + appendix, 5 figures | JHEP 1107:058,2011 | 10.1007/JHEP07(2011)058 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the duality between the four-dimensional S-matrix of planar
maximally supersymmetric Yang-Mills theory and the expectation value of
polygonal shaped Wilson loops in the same theory. We extend the duality to
amplitudes with arbitrary helicity states by introducing a suitable
supersymmetric extension of the Wilson loop. We show that this object is
determined by a host of recursion relations, which are valid at tree level and
at loop level for a certain "loop integrand" defined within the Lagrangian
insertion procedure. These recursion relations reproduce the BCFW ones obeyed
by tree-level scattering amplitudes, as well as their extension to loop
integrands which appeared recently in the literature, establishing the duality
to all orders in perturbation theory. Finally, we propose that a certain set of
finite correlation functions can be used to compute all first derivatives of
the logarithm of MHV amplitudes.
| [
{
"created": "Wed, 6 Oct 2010 14:42:27 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Caron-Huot",
"Simon",
""
]
] | We consider the duality between the four-dimensional S-matrix of planar maximally supersymmetric Yang-Mills theory and the expectation value of polygonal shaped Wilson loops in the same theory. We extend the duality to amplitudes with arbitrary helicity states by introducing a suitable supersymmetric extension of the Wilson loop. We show that this object is determined by a host of recursion relations, which are valid at tree level and at loop level for a certain "loop integrand" defined within the Lagrangian insertion procedure. These recursion relations reproduce the BCFW ones obeyed by tree-level scattering amplitudes, as well as their extension to loop integrands which appeared recently in the literature, establishing the duality to all orders in perturbation theory. Finally, we propose that a certain set of finite correlation functions can be used to compute all first derivatives of the logarithm of MHV amplitudes. |
1712.08049 | Marcus Spradlin | Igor Prlina, Marcus Spradlin, James Stankowicz, Stefan Stanojevic | Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops | 42 pages, 6 figures, 8 tables; v2: minor corrections and improvements | null | 10.1007/JHEP04(2018)049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this sequel to arXiv:1711.11507 we classify the boundaries of amplituhedra
relevant for determining the branch points of general two-loop amplitudes in
planar $\mathcal{N}=4$ super-Yang-Mills theory. We explain the connection to
on-shell diagrams, which serves as a useful cross-check. We determine the
branch points of all two-loop NMHV amplitudes by solving the Landau equations
for the relevant configurations and are led thereby to a conjecture for the
symbol alphabets of all such amplitudes.
| [
{
"created": "Thu, 21 Dec 2017 16:16:02 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2018 21:28:31 GMT",
"version": "v2"
}
] | 2018-05-17 | [
[
"Prlina",
"Igor",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Stankowicz",
"James",
""
],
[
"Stanojevic",
"Stefan",
""
]
] | In this sequel to arXiv:1711.11507 we classify the boundaries of amplituhedra relevant for determining the branch points of general two-loop amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory. We explain the connection to on-shell diagrams, which serves as a useful cross-check. We determine the branch points of all two-loop NMHV amplitudes by solving the Landau equations for the relevant configurations and are led thereby to a conjecture for the symbol alphabets of all such amplitudes. |
hep-th/0106192 | Ferrari Frank | Frank Ferrari (Princeton University) | The large Nc limit of N=2 super Yang-Mills, fractional instantons and
infrared divergences | 24 pages including 4 figures and one appendix | Nucl.Phys. B612 (2001) 151-170 | 10.1016/S0550-3213(01)00370-4 | PUPT-1990, LPTENS-01/09 | hep-th | null | We investigate the large Nc limit of pure N=2 supersymmetric gauge theory
with gauge group SU(Nc) by using the exact low energy effective action. Typical
one-complex dimensional sections of the moduli space parametrized by a global
complex mass scale v display three qualitatively different regions depending on
the ratio between |v| and the dynamically generated scale Lambda. At large
|v|/Lambda, instantons are exponentially suppressed as N goes to infinity. When
|v| is of order Lambda, singularities due to massless dyons occur. They are
densely distributed in rings of calculable thicknesses in the v-plane. At small
|v|/Lambda, instantons disintegrate into fractional instantons of charge
1/(2N). These fractional instantons give non-trivial contributions to all
orders of 1/N, unlike a planar diagrams expansion which generates a series in
1/N^2, implying the presence of open strings. We have explicitly calculated the
fractional instantons series in two representative examples, including the 1/N
and 1/N^2 corrections. Our most interesting finding is that the 1/N expansion
breaks down at singularities on the moduli space due to severe infrared
divergencies, a fact that has remarkable consequences.
| [
{
"created": "Wed, 20 Jun 2001 22:22:53 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Ferrari",
"Frank",
"",
"Princeton University"
]
] | We investigate the large Nc limit of pure N=2 supersymmetric gauge theory with gauge group SU(Nc) by using the exact low energy effective action. Typical one-complex dimensional sections of the moduli space parametrized by a global complex mass scale v display three qualitatively different regions depending on the ratio between |v| and the dynamically generated scale Lambda. At large |v|/Lambda, instantons are exponentially suppressed as N goes to infinity. When |v| is of order Lambda, singularities due to massless dyons occur. They are densely distributed in rings of calculable thicknesses in the v-plane. At small |v|/Lambda, instantons disintegrate into fractional instantons of charge 1/(2N). These fractional instantons give non-trivial contributions to all orders of 1/N, unlike a planar diagrams expansion which generates a series in 1/N^2, implying the presence of open strings. We have explicitly calculated the fractional instantons series in two representative examples, including the 1/N and 1/N^2 corrections. Our most interesting finding is that the 1/N expansion breaks down at singularities on the moduli space due to severe infrared divergencies, a fact that has remarkable consequences. |
1809.01885 | Tomohiko Takahashi | Isao Kishimoto, Tomomi Kitade, Tomohiko Takahashi | Closed string symmetries in open string field theory: tachyon vacuum as
sine-square deformation | 1+30 pages, 5 figures; v2: minnor corrections | null | 10.1093/ptep/pty125 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the identity-based solutions for tachyon condensation in open
bosonic string field theory (SFT) from the viewpoint of the sine-square
deformation (SSD). The string Hamiltonian derived from the simplest solution
includes the sine-square factor, which is the same as that of an open system
with SSD in the context of condensed matter physics. We show that the open
string system with SSD or its generalization exhibits decoupling of the left
and right moving modes and so it behaves like a system with a periodic boundary
condition. With a method developed by Ishibashi and Tada, we construct pairs of
Virasoro generators in this system, which represent symmetries for a closed
string system. Moreover, we find that the modified BRST operator in the open
SFT at the identity-based tachyon vacuum decomposes to holomorphic and
antiholomorphic parts, and these reflect closed string symmetries in the open
SFT. On the basis of SSD and these decomposed operators, we construct
holomorphic and antiholomorphic continuous Virasoro algebras at the tachyon
vacuum. These results imply that it is possible to formulate a pure closed
string theory in terms of the open SFT at the identity-based tachyon vacuum.
| [
{
"created": "Thu, 6 Sep 2018 09:00:39 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Feb 2019 07:40:12 GMT",
"version": "v2"
}
] | 2019-10-11 | [
[
"Kishimoto",
"Isao",
""
],
[
"Kitade",
"Tomomi",
""
],
[
"Takahashi",
"Tomohiko",
""
]
] | We revisit the identity-based solutions for tachyon condensation in open bosonic string field theory (SFT) from the viewpoint of the sine-square deformation (SSD). The string Hamiltonian derived from the simplest solution includes the sine-square factor, which is the same as that of an open system with SSD in the context of condensed matter physics. We show that the open string system with SSD or its generalization exhibits decoupling of the left and right moving modes and so it behaves like a system with a periodic boundary condition. With a method developed by Ishibashi and Tada, we construct pairs of Virasoro generators in this system, which represent symmetries for a closed string system. Moreover, we find that the modified BRST operator in the open SFT at the identity-based tachyon vacuum decomposes to holomorphic and antiholomorphic parts, and these reflect closed string symmetries in the open SFT. On the basis of SSD and these decomposed operators, we construct holomorphic and antiholomorphic continuous Virasoro algebras at the tachyon vacuum. These results imply that it is possible to formulate a pure closed string theory in terms of the open SFT at the identity-based tachyon vacuum. |
1711.06933 | Abdelmalek Boumali Dr | Abdelmalek Boumali and Houcine Aounallah | Exact solutions of scalar bosons in the presence of the Aharonov-Bohm
and Coulomb potentials in the gravitational field of topological defects | any comments are welcome | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we analyzed the relativistic quantum motion of a charged
scalar particles in the presence of a Aharonov Bohm and Coulomb potentials in
the spacetimes produced by an idealized cosmic strings and global monopoles.
| [
{
"created": "Sat, 18 Nov 2017 22:34:59 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Feb 2018 07:14:46 GMT",
"version": "v2"
}
] | 2018-02-02 | [
[
"Boumali",
"Abdelmalek",
""
],
[
"Aounallah",
"Houcine",
""
]
] | In this paper, we analyzed the relativistic quantum motion of a charged scalar particles in the presence of a Aharonov Bohm and Coulomb potentials in the spacetimes produced by an idealized cosmic strings and global monopoles. |
hep-th/0203020 | Johanna Erdmenger | Johanna Erdmenger, Zachary Guralnik and Ingo Kirsch (HU Berlin) | Four-Dimensional Superconformal Theories with Interacting Boundaries or
Defects | 30 pages, 4 figures, AMSLaTeX, revised comments on Chern-Simons term,
references added | Phys.Rev.D66:025020,2002 | 10.1103/PhysRevD.66.025020 | HU-EP-02/07 | hep-th | null | We study four-dimensional superconformal field theories coupled to
three-dimensional superconformal boundary or defect degrees of freedom.
Starting with bulk N=2, d=4 theories, we construct abelian models preserving
N=2, d=3 supersymmetry and the conformal symmetries under which the
boundary/defect is invariant. We write the action, including the bulk terms, in
N=2, d=3 superspace. Moreover we derive Callan-Symanzik equations for these
models using their superconformal transformation properties and show that the
beta functions vanish to all orders in perturbation theory, such that the
models remain superconformal upon quantization. Furthermore we study a model
with N=4 SU(N) Yang-Mills theory in the bulk coupled to a N=4, d=3
hypermultiplet on a defect. This model was constructed by DeWolfe, Freedman and
Ooguri, and conjectured to be conformal based on its relation to an AdS
configuration studied by Karch and Randall. We write this model in N=2, d=3
superspace, which has the distinct advantage that non-renormalization theorems
become transparent. Using N=4, d=3 supersymmetry, we argue that the model is
conformal.
| [
{
"created": "Sun, 3 Mar 2002 14:52:41 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2002 16:18:24 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Erdmenger",
"Johanna",
"",
"HU Berlin"
],
[
"Guralnik",
"Zachary",
"",
"HU Berlin"
],
[
"Kirsch",
"Ingo",
"",
"HU Berlin"
]
] | We study four-dimensional superconformal field theories coupled to three-dimensional superconformal boundary or defect degrees of freedom. Starting with bulk N=2, d=4 theories, we construct abelian models preserving N=2, d=3 supersymmetry and the conformal symmetries under which the boundary/defect is invariant. We write the action, including the bulk terms, in N=2, d=3 superspace. Moreover we derive Callan-Symanzik equations for these models using their superconformal transformation properties and show that the beta functions vanish to all orders in perturbation theory, such that the models remain superconformal upon quantization. Furthermore we study a model with N=4 SU(N) Yang-Mills theory in the bulk coupled to a N=4, d=3 hypermultiplet on a defect. This model was constructed by DeWolfe, Freedman and Ooguri, and conjectured to be conformal based on its relation to an AdS configuration studied by Karch and Randall. We write this model in N=2, d=3 superspace, which has the distinct advantage that non-renormalization theorems become transparent. Using N=4, d=3 supersymmetry, we argue that the model is conformal. |
hep-th/9110024 | null | N. Burroughs, M. de Groot, T. Hollowood and L. Miramontes | Generalized W-algebras and Integrable Hierarchies | 9 pages | Phys.Lett. B277 (1992) 89-94 | 10.1016/0370-2693(92)90962-4 | null | hep-th | null | We report on generalizations of the KdV-type integrable hierarchies of
Drinfel'd and Sokolov. These hierarchies lead to the existence of new classical
$W$-algebras, which arise as the second Hamiltonian structure of the
hierarchies. In particular, we present a construction of the $W_n^{(l)}$
algebras.
| [
{
"created": "Tue, 8 Oct 1991 21:13:00 GMT",
"version": "v1"
}
] | 2019-08-17 | [
[
"Burroughs",
"N.",
""
],
[
"de Groot",
"M.",
""
],
[
"Hollowood",
"T.",
""
],
[
"Miramontes",
"L.",
""
]
] | We report on generalizations of the KdV-type integrable hierarchies of Drinfel'd and Sokolov. These hierarchies lead to the existence of new classical $W$-algebras, which arise as the second Hamiltonian structure of the hierarchies. In particular, we present a construction of the $W_n^{(l)}$ algebras. |
hep-th/9606174 | Chopin Soo | Lay Nam Chang and Chopin Soo | Invariant Regularization of Anomaly-Free Chiral Theories | 28pgs, LaTeX. Typos corrected. Further remarks on singlet currents | Phys. Rev. D 55, 2410 (1997) | 10.1103/PhysRevD.55.2410 | VPI-IPPAP-96-3 | hep-th hep-ph | null | We present a generalization of the Frolov-Slavnov invariant regularization
scheme for chiral fermion theories in curved spacetimes. local gauge symmetries
of the theory, including local Lorentz invariance. The perturbative scheme
works for arbitrary representations which satisfy the chiral gauge anomaly and
the mixed Lorentz-gauge anomaly cancellation conditions. Anomalous theories on
the other hand manifest themselves by having divergent fermion loops which
remain unregularized by the scheme. Since the invariant scheme is promoted to
also include local Lorentz invariance, spectator fields which do not couple to
gravity cannot be, and are not, introduced. Furthermore, the scheme is truly
chiral (Weyl) in that all fields, including the regulators, are left-handed;
and only the left-handed spin connection is needed. The scheme is, therefore,
well suited for the study of the interaction of matter with all four known
forces in a completely chiral fashion. In contrast with the vectorlike
formulation, the degeneracy between the Adler-Bell-Jackiw current and the
fermion number current in the bare action is preserved by the chiral
regularization scheme.
| [
{
"created": "Wed, 26 Jun 1996 19:21:50 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 1997 18:28:00 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Chang",
"Lay Nam",
""
],
[
"Soo",
"Chopin",
""
]
] | We present a generalization of the Frolov-Slavnov invariant regularization scheme for chiral fermion theories in curved spacetimes. local gauge symmetries of the theory, including local Lorentz invariance. The perturbative scheme works for arbitrary representations which satisfy the chiral gauge anomaly and the mixed Lorentz-gauge anomaly cancellation conditions. Anomalous theories on the other hand manifest themselves by having divergent fermion loops which remain unregularized by the scheme. Since the invariant scheme is promoted to also include local Lorentz invariance, spectator fields which do not couple to gravity cannot be, and are not, introduced. Furthermore, the scheme is truly chiral (Weyl) in that all fields, including the regulators, are left-handed; and only the left-handed spin connection is needed. The scheme is, therefore, well suited for the study of the interaction of matter with all four known forces in a completely chiral fashion. In contrast with the vectorlike formulation, the degeneracy between the Adler-Bell-Jackiw current and the fermion number current in the bare action is preserved by the chiral regularization scheme. |
2206.06399 | Salvatore Raucci | Salvatore Raucci | On Codimension-one Vacua and String Theory | 20 pages, LaTeX; typos corrected, references added | Nucl.Phys.B, 985 (2022), 116002 | 10.1016/j.nuclphysb.2022.116002 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate codimension-one vacua arising from low energy effective
actions inspired by string theory, with an eye to their consistency when
localized sources are allowed in the equations of motion. We draw some
inspiration from Sugimoto's USp(32) model, the simplest setting for brane
supersymmetry breaking, and from the 0'B model, with their Dudas-Mourad
solutions. Although the sources that one can thus identify do not have a clear
role in string theory, this type of investigation is naturally suggested by the
singularities that appear at the endpoints of internal intervals. We also
discuss the introduction of sources in deformed D8-like solutions in type IIA,
pointing out an analogy with one of the non-supersymmetric models. Finally, we
show that an appropriate choice of frame can simplify computations in models
with tadpole potentials.
| [
{
"created": "Mon, 13 Jun 2022 18:08:10 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2022 16:41:01 GMT",
"version": "v2"
}
] | 2022-10-31 | [
[
"Raucci",
"Salvatore",
""
]
] | We investigate codimension-one vacua arising from low energy effective actions inspired by string theory, with an eye to their consistency when localized sources are allowed in the equations of motion. We draw some inspiration from Sugimoto's USp(32) model, the simplest setting for brane supersymmetry breaking, and from the 0'B model, with their Dudas-Mourad solutions. Although the sources that one can thus identify do not have a clear role in string theory, this type of investigation is naturally suggested by the singularities that appear at the endpoints of internal intervals. We also discuss the introduction of sources in deformed D8-like solutions in type IIA, pointing out an analogy with one of the non-supersymmetric models. Finally, we show that an appropriate choice of frame can simplify computations in models with tadpole potentials. |
hep-th/0508173 | My. Brahim Sedra | O. Dafounansou, A. El Boukili, M.B. Sedra | Some Aspects of Moyal Deformed Integrable Systems | 16 pages, Latex, Corrected Typos in p.9,10,12 | Chin. J. Phys. 44:274, 2006 | null | null | hep-th | null | Besides its various applications in string and D-brane physics, the
$\theta$-deformation of space (-time) coordinates (naively called the
noncommutativity of coordinates), based on the $\star$-product, behaves as a
more general framework providing more mathematical and physical informations
about the associated system. Similarly to the Gelfand-Dickey framework of
pseudo differential operators, the Moyal $\theta$-deformation applied to
physical problems makes the study more systematic. Using these facts as well as
the backgrounds of Moyal momentum algebra introduced in previous works [21, 25,
26], we look for the important task of studying integrability in the
$\theta$-deformation framework. The main focus is on the $\theta$-deformation
version of the Lax representation of two principal examples: the $sl_2$
KdV$_{\theta}$ equation and the Moyal $\theta$-version of the Burgers systems.
Important properties are presented.
| [
{
"created": "Tue, 23 Aug 2005 23:31:48 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 2005 16:52:30 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Aug 2005 21:19:26 GMT",
"version": "v3"
},
{
"created": "Sat, 19 Nov 2005 23:45:50 GMT",
"version": "v4"
}
] | 2009-03-09 | [
[
"Dafounansou",
"O.",
""
],
[
"Boukili",
"A. El",
""
],
[
"Sedra",
"M. B.",
""
]
] | Besides its various applications in string and D-brane physics, the $\theta$-deformation of space (-time) coordinates (naively called the noncommutativity of coordinates), based on the $\star$-product, behaves as a more general framework providing more mathematical and physical informations about the associated system. Similarly to the Gelfand-Dickey framework of pseudo differential operators, the Moyal $\theta$-deformation applied to physical problems makes the study more systematic. Using these facts as well as the backgrounds of Moyal momentum algebra introduced in previous works [21, 25, 26], we look for the important task of studying integrability in the $\theta$-deformation framework. The main focus is on the $\theta$-deformation version of the Lax representation of two principal examples: the $sl_2$ KdV$_{\theta}$ equation and the Moyal $\theta$-version of the Burgers systems. Important properties are presented. |
2407.12359 | Kazuki Ikeda | Kazuki Ikeda | Beyond Energy: Teleporting Current, Charge, and More | null | null | null | null | hep-th cond-mat.mes-hall cond-mat.stat-mech physics.atom-ph quant-ph | http://creativecommons.org/licenses/by/4.0/ | As an homage to Quantum Energy Teleportation, we generalize the idea to
arbitrary physical observables, not limited to energy, and prove a rigorous
upper bound on the activated ("teleported") quantity. The essence of this
protocol is a quantum feedback control with respect to the entangled ground
state of a quantum many-body system. To demonstrate the concept, we explore a
(1+1)-dimensional chiral Dirac system and execute the protocol for the electric
current and charge. One of the most significant results is the creation of
long-range correlations across the system after applying control operations
only to one local site. Consequently but surprisingly, the induced charge
susceptibility fully reconstructs the phase diagram, despite the model
initially having no charge. Moreover, we find an activation of novel chiral
dynamics induced by feedback control operations, which can be experimentally
confirmed using trapped ions and neutral atoms.
| [
{
"created": "Wed, 17 Jul 2024 07:30:36 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jul 2024 08:24:12 GMT",
"version": "v2"
}
] | 2024-07-23 | [
[
"Ikeda",
"Kazuki",
""
]
] | As an homage to Quantum Energy Teleportation, we generalize the idea to arbitrary physical observables, not limited to energy, and prove a rigorous upper bound on the activated ("teleported") quantity. The essence of this protocol is a quantum feedback control with respect to the entangled ground state of a quantum many-body system. To demonstrate the concept, we explore a (1+1)-dimensional chiral Dirac system and execute the protocol for the electric current and charge. One of the most significant results is the creation of long-range correlations across the system after applying control operations only to one local site. Consequently but surprisingly, the induced charge susceptibility fully reconstructs the phase diagram, despite the model initially having no charge. Moreover, we find an activation of novel chiral dynamics induced by feedback control operations, which can be experimentally confirmed using trapped ions and neutral atoms. |
hep-th/0410018 | Albrecht Klemm | A. Klemm, M. Kreuzer, E. Riegler and E. Scheidegger | Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces
and Threshold Corrections | 117 pages, 1 Postscript figure | JHEP0505:023,2005 | 10.1088/1126-6708/2005/05/023 | MAD-TH-04-10, TUW-04-30, ESI 1519 | hep-th math.AG math.SG | null | We present the most complete list of mirror pairs of Calabi-Yau complete
intersections in toric ambient varieties and develop the methods to solve the
topological string and to calculate higher genus amplitudes on these compact
Calabi-Yau spaces. These symplectic invariants are used to remove redundancies
in examples. The construction of the B-model propagators leads to compatibility
conditions, which constrain multi-parameter mirror maps. For K3 fibered
Calabi-Yau spaces without reducible fibers we find closed formulas for all
genus contributions in the fiber direction from the geometry of the fibration.
If the heterotic dual to this geometry is known, the higher genus invariants
can be identified with the degeneracies of BPS states contributing to
gravitational threshold corrections and all genus checks on string duality in
the perturbative regime are accomplished. We find, however, that the BPS
degeneracies do not uniquely fix the non-perturbative completion of the
heterotic string. For these geometries we can write the topological partition
function in terms of the Donaldson-Thomas invariants and we perform a
non-trivial check of S-duality in topological strings. We further investigate
transitions via collapsing D5 del Pezzo surfaces and the occurrence of free Z2
quotients that lead to a new class of heterotic duals.
| [
{
"created": "Fri, 1 Oct 2004 20:53:04 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Oct 2004 20:03:59 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Klemm",
"A.",
""
],
[
"Kreuzer",
"M.",
""
],
[
"Riegler",
"E.",
""
],
[
"Scheidegger",
"E.",
""
]
] | We present the most complete list of mirror pairs of Calabi-Yau complete intersections in toric ambient varieties and develop the methods to solve the topological string and to calculate higher genus amplitudes on these compact Calabi-Yau spaces. These symplectic invariants are used to remove redundancies in examples. The construction of the B-model propagators leads to compatibility conditions, which constrain multi-parameter mirror maps. For K3 fibered Calabi-Yau spaces without reducible fibers we find closed formulas for all genus contributions in the fiber direction from the geometry of the fibration. If the heterotic dual to this geometry is known, the higher genus invariants can be identified with the degeneracies of BPS states contributing to gravitational threshold corrections and all genus checks on string duality in the perturbative regime are accomplished. We find, however, that the BPS degeneracies do not uniquely fix the non-perturbative completion of the heterotic string. For these geometries we can write the topological partition function in terms of the Donaldson-Thomas invariants and we perform a non-trivial check of S-duality in topological strings. We further investigate transitions via collapsing D5 del Pezzo surfaces and the occurrence of free Z2 quotients that lead to a new class of heterotic duals. |
hep-th/9507152 | Slavnov | A.A.Slavnov | Bosonization of Fermion Determinants | 9 pages, latex, no figures | Phys.Lett. B366 (1996) 253-260 | 10.1016/0370-2693(95)01366-0 | SMI-3-95 | hep-th hep-lat | null | A four dimensional fermion determinant is presented as a path integral of the
exponent of a local five dimensional action describing constrained bosonic
system. The construction is carried out both in the continuum theory and in the
lattice model.
| [
{
"created": "Thu, 27 Jul 1995 15:12:41 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Slavnov",
"A. A.",
""
]
] | A four dimensional fermion determinant is presented as a path integral of the exponent of a local five dimensional action describing constrained bosonic system. The construction is carried out both in the continuum theory and in the lattice model. |
2309.01917 | Xuanhua Wang | Ran Li, Xuanhua Wang, Kun Zhang, Jin Wang | Page Time as a Transition of Information Channels: High-fidelity
Information Retrieval for Radiating Black Holes | 5 pages. Short version of arXiv:2307.01454 | null | null | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effective field theory description of a radiating black hole introduces
redundant degrees of freedom that necessitate annihilation of those modes at
late stages to conserve entropy. The prevailing view is that such effective
process can result in information loss unless the redundant states are
annihilated in maximally entangled pairs, resembling quantum teleportation. In
this Letter, we demonstrate that this view can be relaxed in a new
postselection model. We investigate information recoverability in a radiating
black hole through the non-unitary dynamics that projects the randomly-selected
modes from a scrambling unitary. We show that the model has the merit of
producing the von Neumann entropy of black holes consistent with the island
formula calculation and that information in the black hole interior can be
decoded from the Hawking radiation without loss after the Page time. Moreover,
in this model the Page time gains a new interpretation as the transition point
between two channels of information transmission when sufficient amounts of
effective modes are annihilated inside the horizon. We present two decoding
strategies along with their quantum circuit realizations. The experimental
verification of the strategies employs 7-qubit IBM quantum processors,
demonstrating the viability of these strategies and the potential for quantum
processors to probe the black hole interior.
| [
{
"created": "Tue, 5 Sep 2023 03:12:48 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2023 06:38:18 GMT",
"version": "v2"
}
] | 2023-12-29 | [
[
"Li",
"Ran",
""
],
[
"Wang",
"Xuanhua",
""
],
[
"Zhang",
"Kun",
""
],
[
"Wang",
"Jin",
""
]
] | The effective field theory description of a radiating black hole introduces redundant degrees of freedom that necessitate annihilation of those modes at late stages to conserve entropy. The prevailing view is that such effective process can result in information loss unless the redundant states are annihilated in maximally entangled pairs, resembling quantum teleportation. In this Letter, we demonstrate that this view can be relaxed in a new postselection model. We investigate information recoverability in a radiating black hole through the non-unitary dynamics that projects the randomly-selected modes from a scrambling unitary. We show that the model has the merit of producing the von Neumann entropy of black holes consistent with the island formula calculation and that information in the black hole interior can be decoded from the Hawking radiation without loss after the Page time. Moreover, in this model the Page time gains a new interpretation as the transition point between two channels of information transmission when sufficient amounts of effective modes are annihilated inside the horizon. We present two decoding strategies along with their quantum circuit realizations. The experimental verification of the strategies employs 7-qubit IBM quantum processors, demonstrating the viability of these strategies and the potential for quantum processors to probe the black hole interior. |
hep-th/0211223 | Laxmidhar Maharana | B. B. Deo | A New Type of Superstring in four dimension | null | Phys.Lett. B557 (2003) 105-113 | 10.1016/S0370-2693(03)00136-9 | null | hep-th | null | A bosonic string in twenty six dimensions is effectively reduced to four
dimensions by eleven Majorana fermions which are vectors in the bosonic
represetation SO(d-1,1). By dividing the fermions in two groups, actions can be
written down which are world sheet supersymmetric, 2-d local and local 4-d
supersymmetric. The novel string is anomally free, free of ghosts and the
partition function is modular invariant.
| [
{
"created": "Sat, 23 Nov 2002 08:28:42 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 2002 15:39:06 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Dec 2002 12:49:35 GMT",
"version": "v3"
},
{
"created": "Tue, 31 Dec 2002 15:05:11 GMT",
"version": "v4"
},
{
"cr... | 2009-11-07 | [
[
"Deo",
"B. B.",
""
]
] | A bosonic string in twenty six dimensions is effectively reduced to four dimensions by eleven Majorana fermions which are vectors in the bosonic represetation SO(d-1,1). By dividing the fermions in two groups, actions can be written down which are world sheet supersymmetric, 2-d local and local 4-d supersymmetric. The novel string is anomally free, free of ghosts and the partition function is modular invariant. |
1409.6757 | Chethan Krishnan | Chethan Krishnan | A Generalization of Gravity | 7 pages, v2: minor typos fixed, refs added, v3: one more ref | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I consider theories of gravity built not just from the metric and affine
connection, but also other (possibly higher rank) symmetric tensor(s). The
Lagrangian densities are scalars built from them, and the volume forms are
related to Cayley's hyperdeterminants. The resulting diff-invariant actions
give rise to geometric theories that go beyond the metric paradigm (even
metric-less theories are possible), and contain Einstein gravity as a special
case. Examples contain theories with generalizeations of Riemannian geometry.
The 0-tensor case is related to dilaton gravity. These theories can give rise
to new types of spontaneous Lorentz breaking and might be relevant for "dark"
sector cosmology.
| [
{
"created": "Tue, 23 Sep 2014 20:54:56 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2020 08:08:36 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Apr 2020 04:25:20 GMT",
"version": "v3"
}
] | 2020-04-06 | [
[
"Krishnan",
"Chethan",
""
]
] | I consider theories of gravity built not just from the metric and affine connection, but also other (possibly higher rank) symmetric tensor(s). The Lagrangian densities are scalars built from them, and the volume forms are related to Cayley's hyperdeterminants. The resulting diff-invariant actions give rise to geometric theories that go beyond the metric paradigm (even metric-less theories are possible), and contain Einstein gravity as a special case. Examples contain theories with generalizeations of Riemannian geometry. The 0-tensor case is related to dilaton gravity. These theories can give rise to new types of spontaneous Lorentz breaking and might be relevant for "dark" sector cosmology. |
2205.01648 | Anirban Dinda | Sayantani Bhattacharyya, Parthajit Biswas, Anirban Dinda, Nilay Kundu | The zeroth law of black hole thermodynamics in arbitrary higher
derivative theories of gravity | References added, Minor typos corrected | null | 10.1007/JHEP10(2022)013 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider diffeomorphism invariant theories of gravity with arbitrary
higher derivative terms in the Lagrangian as corrections to the leading two
derivative theory of Einstein's general relativity. We construct a proof of the
zeroth law of black hole thermodynamics in such theories. We assume that a
stationary black hole solution in an arbitrary higher derivative theory can be
obtained by starting with the corresponding stationary solution in general
relativity and correcting it order by order in a perturbative expansion in the
coupling constants of the higher derivative Lagrangian. We prove that surface
gravity remains constant on its horizon when computed for such stationary black
holes, which is the zeroth law. We argue that the constancy of surface gravity
on the horizon is related to specific components of the equations of motion in
such theories. We further use a specific boost symmetry of the near horizon
space-time of the stationary black hole to constrain the off-shell structure of
the equations of motion. Our proof for the zeroth law is valid up to arbitrary
order in the expansion in the higher derivative couplings.
| [
{
"created": "Tue, 3 May 2022 17:22:28 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Oct 2022 11:38:02 GMT",
"version": "v2"
}
] | 2022-10-18 | [
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Biswas",
"Parthajit",
""
],
[
"Dinda",
"Anirban",
""
],
[
"Kundu",
"Nilay",
""
]
] | We consider diffeomorphism invariant theories of gravity with arbitrary higher derivative terms in the Lagrangian as corrections to the leading two derivative theory of Einstein's general relativity. We construct a proof of the zeroth law of black hole thermodynamics in such theories. We assume that a stationary black hole solution in an arbitrary higher derivative theory can be obtained by starting with the corresponding stationary solution in general relativity and correcting it order by order in a perturbative expansion in the coupling constants of the higher derivative Lagrangian. We prove that surface gravity remains constant on its horizon when computed for such stationary black holes, which is the zeroth law. We argue that the constancy of surface gravity on the horizon is related to specific components of the equations of motion in such theories. We further use a specific boost symmetry of the near horizon space-time of the stationary black hole to constrain the off-shell structure of the equations of motion. Our proof for the zeroth law is valid up to arbitrary order in the expansion in the higher derivative couplings. |
1302.4330 | Sergey Yu. Vernov | Emilio Elizalde, Ekaterina O. Pozdeeva, Sergey Yu. Vernov, Ying-li
Zhang | Cosmological Solutions of a Nonlocal Model with a Perfect Fluid | 35 pages, uses jcappub.sty, v2: Sections 3.6 and 4 added, references
added, accepted for publication in JCAP | JCAP 1307 (2013) 034 | 10.1088/1475-7516/2013/07/034 | YITP-13-13 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A nonlocal gravity model which does not assume the existence of a new
dimensional parameter in the action and includes a function $f(\Box^{-1} R)$,
with $\Box$ the d'Alembertian operator, is studied. By specifying an
exponential form for the function f and including a matter sector with a
constant equation of state parameter, all available power-law solutions in the
Jordan frame are obtained. New power-law solutions in the Einstein frame are
also probed. Furthermore, the relationship between power-law solutions in both
frames, established through conformal transformation, is substantially
clarified. The correspondence between power-law solutions in these two frames
is proven to be a very useful tool in order to obtain new solutions in the
Einstein frame.
| [
{
"created": "Mon, 18 Feb 2013 16:02:40 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jul 2013 19:36:43 GMT",
"version": "v2"
}
] | 2013-07-24 | [
[
"Elizalde",
"Emilio",
""
],
[
"Pozdeeva",
"Ekaterina O.",
""
],
[
"Vernov",
"Sergey Yu.",
""
],
[
"Zhang",
"Ying-li",
""
]
] | A nonlocal gravity model which does not assume the existence of a new dimensional parameter in the action and includes a function $f(\Box^{-1} R)$, with $\Box$ the d'Alembertian operator, is studied. By specifying an exponential form for the function f and including a matter sector with a constant equation of state parameter, all available power-law solutions in the Jordan frame are obtained. New power-law solutions in the Einstein frame are also probed. Furthermore, the relationship between power-law solutions in both frames, established through conformal transformation, is substantially clarified. The correspondence between power-law solutions in these two frames is proven to be a very useful tool in order to obtain new solutions in the Einstein frame. |
1803.05950 | Anastasios Petkou | Evangelos G. Filothodoros, Anastasios C. Petkou and Nicholas D.
Vlachos | The fermion-boson map for large d | 34 pages, 1 figure | null | 10.1016/j.nuclphysb.2019.01.015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the three-dimensional map between fermions and bosons at finite
temperature generalises for all odd dimensions $d>3$. We further argue that
such a map has a nontrivial large $d$ limit. Evidence comes from studying the
gap equations, the free energies and the partition functions of the $U(N)$
Gross-Neveu and CP$^{N-1}$ models for odd $d\geq 3$ in the presence of
imaginary chemical potential. We find that the gap equations and the free
energies can be written in terms of the Bloch-Wigner-Ramakrishnan $D_d(z)$
functions analysed by Zagier. Since $D_2(z)$ gives the volume of ideal
tetrahedra in 3$d$ hyperbolic space our three-dimensional results are related
to resent studies of complex Chern-Simons theories, while for $d>3$ they yield
corresponding higher dimensional generalizations. As a spinoff, we observe that
particular complex saddles of the partition functions correspond to the zeros
and the extrema of the Clausen functions $Cl_d(\theta)$ with odd and even index
$d$ respectively. These saddles lie on the unit circle at positions remarkably
well approximated by a sequence of rational multiples of $\pi$.
| [
{
"created": "Thu, 15 Mar 2018 19:00:04 GMT",
"version": "v1"
}
] | 2019-03-27 | [
[
"Filothodoros",
"Evangelos G.",
""
],
[
"Petkou",
"Anastasios C.",
""
],
[
"Vlachos",
"Nicholas D.",
""
]
] | We show that the three-dimensional map between fermions and bosons at finite temperature generalises for all odd dimensions $d>3$. We further argue that such a map has a nontrivial large $d$ limit. Evidence comes from studying the gap equations, the free energies and the partition functions of the $U(N)$ Gross-Neveu and CP$^{N-1}$ models for odd $d\geq 3$ in the presence of imaginary chemical potential. We find that the gap equations and the free energies can be written in terms of the Bloch-Wigner-Ramakrishnan $D_d(z)$ functions analysed by Zagier. Since $D_2(z)$ gives the volume of ideal tetrahedra in 3$d$ hyperbolic space our three-dimensional results are related to resent studies of complex Chern-Simons theories, while for $d>3$ they yield corresponding higher dimensional generalizations. As a spinoff, we observe that particular complex saddles of the partition functions correspond to the zeros and the extrema of the Clausen functions $Cl_d(\theta)$ with odd and even index $d$ respectively. These saddles lie on the unit circle at positions remarkably well approximated by a sequence of rational multiples of $\pi$. |
1408.4813 | Hayato Motohashi | Hayato Motohashi, Wayne Hu | Stability of cosmological solutions in extended quasidilaton massive
gravity | 11 pages; minor changes matching published version | Phys. Rev. D 90, 104008 (2014) | 10.1103/PhysRevD.90.104008 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the stability of self-accelerating solutions to extended
quasidilaton massive gravity in the presence of matter. By making a second or
extended fiducial metric dynamical in this model, matter can cause it to evolve
from a Lorentzian to Euclidean signature, triggering a ghost instability. We
study this possibility with scalar field matter as it can model a wide range of
cosmological expansion histories. For the $\Lambda$CDM expansion history,
stability considerations substantially limit the available parameter space
while for a kinetic energy dominated expansion, no choice of quasidilaton
parameters is stable. More generally these results show that there is no
mechanism intrinsic to the theory to forbid such pathologies from developing
from stable initial conditions and that stability can only be guaranteed for
particular choices for the matter configuration.
| [
{
"created": "Wed, 20 Aug 2014 20:17:55 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 2015 17:42:49 GMT",
"version": "v2"
}
] | 2015-05-29 | [
[
"Motohashi",
"Hayato",
""
],
[
"Hu",
"Wayne",
""
]
] | We consider the stability of self-accelerating solutions to extended quasidilaton massive gravity in the presence of matter. By making a second or extended fiducial metric dynamical in this model, matter can cause it to evolve from a Lorentzian to Euclidean signature, triggering a ghost instability. We study this possibility with scalar field matter as it can model a wide range of cosmological expansion histories. For the $\Lambda$CDM expansion history, stability considerations substantially limit the available parameter space while for a kinetic energy dominated expansion, no choice of quasidilaton parameters is stable. More generally these results show that there is no mechanism intrinsic to the theory to forbid such pathologies from developing from stable initial conditions and that stability can only be guaranteed for particular choices for the matter configuration. |
2212.03309 | Jos\'e Fernando Thuorst | Luciana Ebani, Thalis Jos\'e Girardi, and Jos\'e Fernando Thuorst | Symmetries in one loop solutions: The AV, AVV, and AVVV diagrams, from
2D, 4D, and 6D dimensions and the role of breaking integration linearity | Selecting journal for publication, 57 pages, 2 figures, and 3 tables | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigated relations among green functions defined in the context of an
alternative strategy for coping with the divergences, also called Implicit
Regularization. Our targets are fermionic amplitudes in even space-time
dimensions, where anomalous tensors connect to finite amplitudes. Those tensors
depend on surface terms, whose non-zero values arise from finite amplitudes as
requirements of consistency with the linearity of integration and uniqueness.
Maintaining these terms implies breaking momentum-space homogeneity and in a
later step the Ward identities. Meanwhile, eliminating them allows more than
one mathematical expression for the same amplitude. That is a consequence of
choices related to the involved Dirac traces. Independently of divergences, it
is impossible to satisfy all symmetry implications that require the vanishing
of surface terms and linearity simultaneously. Nonetheless, the symmetry
violations are globally independent of divergences and can be allocated
appropriately. From this perspective, we cast all the choices involved and the
different meanings, whose implications go beyond the scenario described.
| [
{
"created": "Tue, 6 Dec 2022 20:17:49 GMT",
"version": "v1"
}
] | 2022-12-08 | [
[
"Ebani",
"Luciana",
""
],
[
"Girardi",
"Thalis José",
""
],
[
"Thuorst",
"José Fernando",
""
]
] | We investigated relations among green functions defined in the context of an alternative strategy for coping with the divergences, also called Implicit Regularization. Our targets are fermionic amplitudes in even space-time dimensions, where anomalous tensors connect to finite amplitudes. Those tensors depend on surface terms, whose non-zero values arise from finite amplitudes as requirements of consistency with the linearity of integration and uniqueness. Maintaining these terms implies breaking momentum-space homogeneity and in a later step the Ward identities. Meanwhile, eliminating them allows more than one mathematical expression for the same amplitude. That is a consequence of choices related to the involved Dirac traces. Independently of divergences, it is impossible to satisfy all symmetry implications that require the vanishing of surface terms and linearity simultaneously. Nonetheless, the symmetry violations are globally independent of divergences and can be allocated appropriately. From this perspective, we cast all the choices involved and the different meanings, whose implications go beyond the scenario described. |
2010.02240 | Amitabh Virmani | Subhroneel Chakrabarti, Suresh Govindarajan, P Shanmugapriya, Yogesh
K. Srivastava, Amitabh Virmani | Black Hole Hair Removal For N=4 CHL Models | 64 pages, no figures, 4 tables; v2: typos corrected + ref and note
added + discussions added/improved in section 7, version to appear in JHEP;
v3: typos corrected + refs added; v4: table 3 + two paragraphs in section 7.1
corrected, footnote 8 added, supersedes published version | JHEP02 (2021) 125 | 10.1007/JHEP02(2021)125 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Although BMPV black holes in flat space and in Taub-NUT space have identical
near-horizon geometries, they have different indices from the microscopic
analysis. For K3 compactification of type IIB theory, Sen et al in a series of
papers identified that the key to resolving this puzzle is the black hole hair
modes: smooth, normalisable, bosonic and fermionic degrees of freedom living
outside the horizon. In this paper, we extend their study to N = 4 CHL orbifold
models. For these models, the puzzle is more challenging due to the presence of
the twisted sectors. We identify hair modes in the untwisted as well as twisted
sectors. We show that after removing the contributions of the hair modes from
the microscopic partition functions, the 4d and 5d horizon partition functions
agree. Special care is taken to present details on the smoothness analysis of
hair modes for rotating black holes, thereby filling an essential gap in the
literature.
| [
{
"created": "Mon, 5 Oct 2020 18:00:17 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 2021 17:03:01 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Feb 2021 03:19:32 GMT",
"version": "v3"
},
{
"created": "Tue, 26 Apr 2022 00:18:36 GMT",
"version": "v4"
}
] | 2022-04-27 | [
[
"Chakrabarti",
"Subhroneel",
""
],
[
"Govindarajan",
"Suresh",
""
],
[
"Shanmugapriya",
"P",
""
],
[
"Srivastava",
"Yogesh K.",
""
],
[
"Virmani",
"Amitabh",
""
]
] | Although BMPV black holes in flat space and in Taub-NUT space have identical near-horizon geometries, they have different indices from the microscopic analysis. For K3 compactification of type IIB theory, Sen et al in a series of papers identified that the key to resolving this puzzle is the black hole hair modes: smooth, normalisable, bosonic and fermionic degrees of freedom living outside the horizon. In this paper, we extend their study to N = 4 CHL orbifold models. For these models, the puzzle is more challenging due to the presence of the twisted sectors. We identify hair modes in the untwisted as well as twisted sectors. We show that after removing the contributions of the hair modes from the microscopic partition functions, the 4d and 5d horizon partition functions agree. Special care is taken to present details on the smoothness analysis of hair modes for rotating black holes, thereby filling an essential gap in the literature. |
hep-th/9910243 | Buchholz | Detlev Buchholz, Rudolf Haag | The Quest for Understanding in Relativistic Quantum Physics | Invited contribution to the Special Issue 2000 of the Journal of
Mathematical Physics, 38 pages, typos corrected and references added, as to
appear in JMP | J.Math.Phys. 41 (2000) 3674-3697 | 10.1063/1.533324 | null | hep-th hep-ph math-ph math.MP quant-ph | null | We discuss the status and some perspectives of relativistic quantum physics.
| [
{
"created": "Fri, 29 Oct 1999 15:26:52 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 1999 14:04:49 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Buchholz",
"Detlev",
""
],
[
"Haag",
"Rudolf",
""
]
] | We discuss the status and some perspectives of relativistic quantum physics. |
hep-th/0510239 | Eric Woolgar | T Oliynyk, V Suneeta, and E Woolgar | A Gradient Flow for Worldsheet Nonlinear Sigma Models | Accepted version for publication. Citations added to Friedan and to
Fateev, Onofri, and Zamolodchikov. Introduction modified slightly to discuss
these citations. 25 pages, LaTeX | Nucl.Phys. B739 (2006) 441-458 | 10.1016/j.nuclphysb.2006.01.036 | null | hep-th gr-qc math.DG | null | We discuss certain recent mathematical advances, mainly due to Perelman, in
the theory of Ricci flows and their relevance for renormalization group (RG)
flows. We consider nonlinear sigma models with closed target manifolds
supporting a Riemannian metric, dilaton, and 2-form B-field. By generalizing
recent mathematical results to incorporate the B-field and by decoupling the
dilaton, we are able to describe the 1-loop beta-functions of the metric and
B-field as the components of the gradient of a potential functional on the
space of coupling constants. We emphasize a special choice of diffeomorphism
gauge generated by the lowest eigenfunction of a certain Schrodinger operator
whose potential and kinetic terms evolve along the flow. With this choice, the
potential functional is the corresponding lowest eigenvalue, and gives the
order alpha' correction to the Weyl anomaly at fixed points of (g(t),B(t)).
Since the lowest eigenvalue is monotonic along the flow and reproduces the Weyl
anomaly at fixed points, it accords with the c-theorem for flows that remain
always in the first-order regime. We compute the Hessian of the lowest
eigenvalue functional and use it to discuss the linear stability of points
where the 1-loop beta-functions vanish, such as flat tori and K3 manifolds.
| [
{
"created": "Thu, 27 Oct 2005 19:06:29 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Jan 2006 01:41:44 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Oliynyk",
"T",
""
],
[
"Suneeta",
"V",
""
],
[
"Woolgar",
"E",
""
]
] | We discuss certain recent mathematical advances, mainly due to Perelman, in the theory of Ricci flows and their relevance for renormalization group (RG) flows. We consider nonlinear sigma models with closed target manifolds supporting a Riemannian metric, dilaton, and 2-form B-field. By generalizing recent mathematical results to incorporate the B-field and by decoupling the dilaton, we are able to describe the 1-loop beta-functions of the metric and B-field as the components of the gradient of a potential functional on the space of coupling constants. We emphasize a special choice of diffeomorphism gauge generated by the lowest eigenfunction of a certain Schrodinger operator whose potential and kinetic terms evolve along the flow. With this choice, the potential functional is the corresponding lowest eigenvalue, and gives the order alpha' correction to the Weyl anomaly at fixed points of (g(t),B(t)). Since the lowest eigenvalue is monotonic along the flow and reproduces the Weyl anomaly at fixed points, it accords with the c-theorem for flows that remain always in the first-order regime. We compute the Hessian of the lowest eigenvalue functional and use it to discuss the linear stability of points where the 1-loop beta-functions vanish, such as flat tori and K3 manifolds. |
1205.6205 | Vasilis Niarchos | Elias Kiritsis and Vasilis Niarchos | The holographic quantum effective potential at finite temperature and
density | 27 pages | null | 10.1007/JHEP08(2012)164 | CCTP-2012-12 | hep-th cond-mat.str-el gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a formalism that allows the computation of the quantum effective
potential of a scalar order parameter in a class of holographic theories at
finite temperature and charge density. The effective potential is a valuable
tool for studying the ground state of the theory, symmetry breaking patterns
and phase transitions. We derive general formulae for the effective potential
and apply them to determine the phase transition temperature and density in the
scaling region.
| [
{
"created": "Mon, 28 May 2012 20:00:05 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Kiritsis",
"Elias",
""
],
[
"Niarchos",
"Vasilis",
""
]
] | We develop a formalism that allows the computation of the quantum effective potential of a scalar order parameter in a class of holographic theories at finite temperature and charge density. The effective potential is a valuable tool for studying the ground state of the theory, symmetry breaking patterns and phase transitions. We derive general formulae for the effective potential and apply them to determine the phase transition temperature and density in the scaling region. |
1102.3640 | Richard Szabo | Richard J. Szabo, Miguel Tierz | Two-dimensional Yang-Mills theory, Painleve equations and the six-vertex
model | 27 pages, 1 figure; v2: Presentation of Section 2 improved; Final
version to be published in Journal of Physics A | J. Phys. A: Math. Theor. 45 085401 (2012) | 10.1088/1751-8113/45/8/085401 | HWM-11-3 , EMPG-11-04 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the chiral partition function of two-dimensional Yang-Mills
theory on the sphere can be mapped to the partition function of the homogeneous
six-vertex model with domain wall boundary conditions in the ferroelectric
phase. A discrete matrix model description in both cases is given by the
Meixner ensemble, leading to a representation in terms of a stochastic growth
model. We show that the partition function is a particular case of the
z-measure on the set of Young diagrams, yielding a unitary matrix model for
chiral Yang-Mills theory on the sphere and the identification of the partition
function as a tau-function of the Painleve V equation. We describe the role
played by generalized non-chiral Yang-Mills theory on the sphere in relating
the Meixner matrix model to the Toda chain hierarchy encompassing the
integrability of the six-vertex model. We also argue that the thermodynamic
behaviour of the six-vertex model in the disordered and antiferroelectric
phases are captured by particular q-deformations of two-dimensional Yang-Mills
theory on the sphere.
| [
{
"created": "Thu, 17 Feb 2011 17:20:36 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2012 08:49:24 GMT",
"version": "v2"
}
] | 2012-09-07 | [
[
"Szabo",
"Richard J.",
""
],
[
"Tierz",
"Miguel",
""
]
] | We show that the chiral partition function of two-dimensional Yang-Mills theory on the sphere can be mapped to the partition function of the homogeneous six-vertex model with domain wall boundary conditions in the ferroelectric phase. A discrete matrix model description in both cases is given by the Meixner ensemble, leading to a representation in terms of a stochastic growth model. We show that the partition function is a particular case of the z-measure on the set of Young diagrams, yielding a unitary matrix model for chiral Yang-Mills theory on the sphere and the identification of the partition function as a tau-function of the Painleve V equation. We describe the role played by generalized non-chiral Yang-Mills theory on the sphere in relating the Meixner matrix model to the Toda chain hierarchy encompassing the integrability of the six-vertex model. We also argue that the thermodynamic behaviour of the six-vertex model in the disordered and antiferroelectric phases are captured by particular q-deformations of two-dimensional Yang-Mills theory on the sphere. |
hep-th/0005192 | Gordon Chalmers | Gordon Chalmers and Johanna Erdmenger | Dual expansions of N=4 super Yang-Mills theory via IIB superstring
theory | LaTeX, 40 pages, 5 figures | Nucl.Phys. B585 (2000) 517-553 | 10.1016/S0550-3213(00)00384-9 | ANL-HEP-PR-00-055, MIT-CTP-2986 | hep-th | null | We examine the dual correspondence between holographic IIB superstring theory
and N=4 super Yang-Mills theory at finite values of the coupling constants. In
particular we analyze a field theory strong-coupling expansion which is the
S-dual of the planar expansion. This expansion arises naturally as the AdS/CFT
dual of the IIB superstring scattering amplitudes given a genus truncation
property due to modular invariance. The space-time structure of the
contributions to the field theory four-point correlation functions obtained
from the IIB scattering elements is investigated in the example of the product
of four conserved stress tensors, and is expressed as an infinite sum of field
theory triangle integrals. The OPE structure of these contributions to the
stress tensor four-point function is analyzed and shown not to give rise to any
poles. Quantization of the string in the background of a five-form field
strength is performed through a covariantized background field approach, and
relations to the N=4 topological string are found.
| [
{
"created": "Sun, 21 May 2000 23:55:31 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Chalmers",
"Gordon",
""
],
[
"Erdmenger",
"Johanna",
""
]
] | We examine the dual correspondence between holographic IIB superstring theory and N=4 super Yang-Mills theory at finite values of the coupling constants. In particular we analyze a field theory strong-coupling expansion which is the S-dual of the planar expansion. This expansion arises naturally as the AdS/CFT dual of the IIB superstring scattering amplitudes given a genus truncation property due to modular invariance. The space-time structure of the contributions to the field theory four-point correlation functions obtained from the IIB scattering elements is investigated in the example of the product of four conserved stress tensors, and is expressed as an infinite sum of field theory triangle integrals. The OPE structure of these contributions to the stress tensor four-point function is analyzed and shown not to give rise to any poles. Quantization of the string in the background of a five-form field strength is performed through a covariantized background field approach, and relations to the N=4 topological string are found. |
2211.06873 | Valentin Reys | Gabriel Lopes Cardoso, Abhiram Kidambi, Suresh Nampuri, Valentin Reys,
Mart\'i Rossell\'o | The gravitational path integral for $ N=4$ BPS black holes from black
hole microstate counting | 32 pages, 1 figure; v2: clarifications and references added, minor
typos corrected | null | 10.1007/s00023-023-01297-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the exact degeneracy formula of single-centred $\frac14$ BPS dyonic
black holes with unit torsion in 4D $N=4$ toroidally compactified heterotic
string theory to improve on the existing formulation of the corresponding
quantum entropy function obtained using supersymmetric localization. The result
takes the form of a sum over Euclidean backgrounds including orbifolds of the
Euclidean $AdS_2 \times S^2$ attractor geometry. Using an $N=2$ formalism, we
determine the explicit form of the Abelian gauge potentials supporting these
backgrounds. We further show how a rewriting of the degeneracy formula is
amenable, at a semi-classical level, to a gravitational interpretation
involving 2D Euclidean wormholes. This alternative picture is useful to
elucidate different aspects of the gravitational path integral capturing the
microstate degeneracies. We also comment on the relation between the associated
1D holographic models.
| [
{
"created": "Sun, 13 Nov 2022 10:55:58 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Mar 2023 13:33:14 GMT",
"version": "v2"
}
] | 2024-01-04 | [
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Kidambi",
"Abhiram",
""
],
[
"Nampuri",
"Suresh",
""
],
[
"Reys",
"Valentin",
""
],
[
"Rosselló",
"Martí",
""
]
] | We use the exact degeneracy formula of single-centred $\frac14$ BPS dyonic black holes with unit torsion in 4D $N=4$ toroidally compactified heterotic string theory to improve on the existing formulation of the corresponding quantum entropy function obtained using supersymmetric localization. The result takes the form of a sum over Euclidean backgrounds including orbifolds of the Euclidean $AdS_2 \times S^2$ attractor geometry. Using an $N=2$ formalism, we determine the explicit form of the Abelian gauge potentials supporting these backgrounds. We further show how a rewriting of the degeneracy formula is amenable, at a semi-classical level, to a gravitational interpretation involving 2D Euclidean wormholes. This alternative picture is useful to elucidate different aspects of the gravitational path integral capturing the microstate degeneracies. We also comment on the relation between the associated 1D holographic models. |
1711.02618 | Georgios Pastras | Dimitrios Katsinis and Georgios Pastras | An Inverse Mass Expansion for Entanglement Entropy in Free Massive
Scalar Field Theory | 35 pages, 5 figures | Eur.Phys.J. C78 (2018) no.4, 282 | 10.1140/epjc/s10052-018-5596-4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the entanglement entropy calculation performed in the seminal paper
by Srednicki for free real massive scalar field theories in 1+1, 2+1 and 3+1
dimensions. We show that the inverse of the scalar field mass can be used as an
expansion parameter for a perturbative calculation of the entanglement entropy.
We perform the calculation for the ground state of the system and for a
spherical entangling surface at third order in this expansion. The calculated
entanglement entropy contains a leading area law term, as well as subleading
terms that depend on the regularization scheme, as expected. Universal terms
are non-perturbative effects in this approach. Interestingly, this perturbative
expansion can be used to approximate the coefficient of the area law term, even
in the case of a massless scalar field in 2+1 and 3+1 dimensions. The presented
method provides the spectrum of the reduced density matrix as an intermediate
result, which is an important advantage in comparison to the replica trick
approach. Our perturbative expansion underlines the relation between the area
law and the locality of the underlying field theory.
| [
{
"created": "Tue, 7 Nov 2017 17:29:54 GMT",
"version": "v1"
}
] | 2018-04-10 | [
[
"Katsinis",
"Dimitrios",
""
],
[
"Pastras",
"Georgios",
""
]
] | We extend the entanglement entropy calculation performed in the seminal paper by Srednicki for free real massive scalar field theories in 1+1, 2+1 and 3+1 dimensions. We show that the inverse of the scalar field mass can be used as an expansion parameter for a perturbative calculation of the entanglement entropy. We perform the calculation for the ground state of the system and for a spherical entangling surface at third order in this expansion. The calculated entanglement entropy contains a leading area law term, as well as subleading terms that depend on the regularization scheme, as expected. Universal terms are non-perturbative effects in this approach. Interestingly, this perturbative expansion can be used to approximate the coefficient of the area law term, even in the case of a massless scalar field in 2+1 and 3+1 dimensions. The presented method provides the spectrum of the reduced density matrix as an intermediate result, which is an important advantage in comparison to the replica trick approach. Our perturbative expansion underlines the relation between the area law and the locality of the underlying field theory. |
hep-th/0309244 | Par Arvidsson | Par Arvidsson, Erik Flink and Mans Henningson | Supersymmetric coupling of a self-dual string to a (2,0) tensor
multiplet background | 12 pages, LaTeX | JHEP0311:015,2003 | 10.1088/1126-6708/2003/11/015 | null | hep-th | null | We construct an interaction between a (2,0) tensor multiplet in six
dimensions and a self-dual string. The interaction is a sum of a Nambu-Goto
term, with the tension of the string given by the modulus of the scalar fields
of the tensor multiplet, and a non-local Wess-Zumino term, that encodes the
electromagnetic coupling of the string to the two-form gauge field of the
tensor multiplet. The interaction is invariant under global (2,0)
supersymmetry, modulo the equations of motion of a free tensor multiplet. It is
also invariant under a local fermionic kappa-symmetry, as required by the
BPS-property of the string.
| [
{
"created": "Fri, 26 Sep 2003 14:42:18 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Arvidsson",
"Par",
""
],
[
"Flink",
"Erik",
""
],
[
"Henningson",
"Mans",
""
]
] | We construct an interaction between a (2,0) tensor multiplet in six dimensions and a self-dual string. The interaction is a sum of a Nambu-Goto term, with the tension of the string given by the modulus of the scalar fields of the tensor multiplet, and a non-local Wess-Zumino term, that encodes the electromagnetic coupling of the string to the two-form gauge field of the tensor multiplet. The interaction is invariant under global (2,0) supersymmetry, modulo the equations of motion of a free tensor multiplet. It is also invariant under a local fermionic kappa-symmetry, as required by the BPS-property of the string. |
hep-th/9203063 | null | Dileep P. Jatkar | The Spectrum of Sl(2, R)/U(1) Black Hole Conformal Field Theory | 21 pages | Nucl.Phys. B395 (1993) 167-184 | 10.1016/0550-3213(93)90213-9 | null | hep-th | null | We study string theory in the background of a two-dimensional black hole
which is described by an $SL(2, R)/U(1)$ coset conformal field theory. We
determine the spectrum of this conformal field theory using supersymmetric
quantum mechanics and give an explicit form of the vertex operators in terms of
the Jacobi functions. We also discuss the applicability of SUSY quantum
mechanics techniques to non-linear $\sigma$-models.
| [
{
"created": "Tue, 24 Mar 1992 16:22:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Jatkar",
"Dileep P.",
""
]
] | We study string theory in the background of a two-dimensional black hole which is described by an $SL(2, R)/U(1)$ coset conformal field theory. We determine the spectrum of this conformal field theory using supersymmetric quantum mechanics and give an explicit form of the vertex operators in terms of the Jacobi functions. We also discuss the applicability of SUSY quantum mechanics techniques to non-linear $\sigma$-models. |
1305.3713 | Mohammad Ali-Akbari | Mohammad Ali-Akbari, Ali Vahedi | Non-equilibrium Phase Transition from AdS/CFT | 17 pages, 8 figures, Published version in NPB | null | 10.1016/j.nuclphysb.2013.09.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using AdS/CFT correspondence we study non-equilibrium phase transition in the
presence of a constant external magnetic field. The transition occurs when the
sign of differential conductivity reverses. Utilizing numerical method we show
that the type of transition depends on the value of magnetic field as well as
the temperature of gauge theory. Moreover we show that this transition does not
depend on the supersymmetry and the subspace on which the fundamental matter
fields live.
| [
{
"created": "Thu, 16 May 2013 08:38:06 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Oct 2013 13:59:35 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Ali-Akbari",
"Mohammad",
""
],
[
"Vahedi",
"Ali",
""
]
] | Using AdS/CFT correspondence we study non-equilibrium phase transition in the presence of a constant external magnetic field. The transition occurs when the sign of differential conductivity reverses. Utilizing numerical method we show that the type of transition depends on the value of magnetic field as well as the temperature of gauge theory. Moreover we show that this transition does not depend on the supersymmetry and the subspace on which the fundamental matter fields live. |
hep-th/9311108 | Heinzl Thomas | T.Heinzl and E. Werner | Light-Front Quantisation as an Initial-Boundary Value Problem | 26 pages (including figure), tex, figure in latex, TPR 93-3 | Z.Phys. C62 (1994) 521-532 | 10.1007/BF01555913 | null | hep-th | null | In the light front quantisation scheme initial conditions are usually
provided on a single lightlike hyperplane. This, however, is insufficient to
yield a unique solution of the field equations. We investigate under which
additional conditions the problem of solving the field equations becomes well
posed. The consequences for quantisation are studied within a Hamiltonian
formulation by using the method of Faddeev and Jackiw for dealing with
first-order Lagrangians. For the prototype field theory of massive scalar
fields in 1+1 dimensions, we find that initial conditions for fixed light cone
time {\sl and} boundary conditions in the spatial variable are sufficient to
yield a consistent commutator algebra. Data on a second lightlike hyperplane
are not necessary. Hamiltonian and Euler-Lagrange equations of motion become
equivalent; the description of the dynamics remains canonical and simple. In
this way we justify the approach of discretised light cone quantisation.
| [
{
"created": "Thu, 18 Nov 1993 18:34:30 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Heinzl",
"T.",
""
],
[
"Werner",
"E.",
""
]
] | In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the field equations. We investigate under which additional conditions the problem of solving the field equations becomes well posed. The consequences for quantisation are studied within a Hamiltonian formulation by using the method of Faddeev and Jackiw for dealing with first-order Lagrangians. For the prototype field theory of massive scalar fields in 1+1 dimensions, we find that initial conditions for fixed light cone time {\sl and} boundary conditions in the spatial variable are sufficient to yield a consistent commutator algebra. Data on a second lightlike hyperplane are not necessary. Hamiltonian and Euler-Lagrange equations of motion become equivalent; the description of the dynamics remains canonical and simple. In this way we justify the approach of discretised light cone quantisation. |
hep-th/0606234 | Aleksandr Zheltukhin | A.A. Zheltukhin | A new type of supersymmetric twistors and higher spin chiral multiplets | Latex, 15 pages, no figures | null | null | Stockholm, USITP 06-02, June 2006 | hep-th math-ph math.MP | null | A new type of supersymmetric twistors is proposed and they are called
$\theta$-twistors versus the supertwistors. The $\theta$-twistor is a triple of
spinors including the spinor superspace coordinate $\theta$ instead of the
Grassmannian scalar in the supertwistor triple. The superspace of the
$\theta$-twistors is closed under the superconformal group transformations
except the (super)conformal boosts. Using the $\theta$-twistors in physics
preserves the auxiliary field F in the chiral (0,1/2) supermultiplet contrarily
to the supertwistor description. Moreover, it yields an infinite chain of
higher spin chiral supermultiplets (1/2,1), (1,3/2), (3/2,2),...,(S,S+1/2)
generalizing the scalar massless supermultiplet.
| [
{
"created": "Sun, 25 Jun 2006 19:28:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Zheltukhin",
"A. A.",
""
]
] | A new type of supersymmetric twistors is proposed and they are called $\theta$-twistors versus the supertwistors. The $\theta$-twistor is a triple of spinors including the spinor superspace coordinate $\theta$ instead of the Grassmannian scalar in the supertwistor triple. The superspace of the $\theta$-twistors is closed under the superconformal group transformations except the (super)conformal boosts. Using the $\theta$-twistors in physics preserves the auxiliary field F in the chiral (0,1/2) supermultiplet contrarily to the supertwistor description. Moreover, it yields an infinite chain of higher spin chiral supermultiplets (1/2,1), (1,3/2), (3/2,2),...,(S,S+1/2) generalizing the scalar massless supermultiplet. |
2209.07914 | Niayesh Afshordi | Niayesh Afshordi (Waterloo/PI) and Jo\~ao Magueijo (Imperial College) | Lower bound on the cosmological constant from the classicality of the
Early Universe | 9 pages, 4 figures, added figure and references | null | 10.1103/PhysRevD.106.123518 | null | hep-th astro-ph.CO gr-qc | http://creativecommons.org/licenses/by/4.0/ | We use the quantum unimodular theory of gravity to relate the value of the
cosmological constant, $\Lambda$, and the energy scale for the emergence of
cosmological classicality. The fact that $\Lambda$ and unimodular time are
complementary quantum variables implies a perennially quantum Universe should
$\Lambda$ be zero (or, indeed, fixed at any value). Likewise, the smallness of
$\Lambda$ puts an upper bound on its uncertainty, and so a lower bound on the
unimodular clock's uncertainty or the cosmic time for the emergence of
classicality. Far from being the Planck scale, classicality arises at around $7
\times 10^{11}$ GeV for the observed $\Lambda$, and taking the region of
classicality to be our Hubble volume. We confirm this argument with a direct
evaluation of the wavefunction of the Universe in the connection representation
for unimodular theory. Our argument is robust, with the only leeway being in
the comoving volume of our cosmological classical patch, which should be bigger
than that of the observed last scattering surface. Should it be taken to be the
whole of a closed Universe, then the constraint depends weakly on $\Omega_k$:
for $-\Omega_k < 10^{-3}$ classicality is reached at $ > 4 \times 10^{12}$ GeV.
If it is infinite, then this energy scale is infinite, and the Universe is
always classical within the minisuperspace approximation. It is a remarkable
coincidence that the only way to render the Universe classical just below the
Planck scale is to define the size of the classical patch as the scale of
non-linearity for a red spectrum with the observed spectral index $n_s =
0.967(4)$ (about $10^{11}$ times the size of the current Hubble volume). In the
context of holographic cosmology, we may interpret this size as the scale of
confinement in the dual 3D quantum field theory, which may be probed (directly
or indirectly) with future cosmological surveys.
| [
{
"created": "Fri, 16 Sep 2022 13:28:48 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Oct 2022 02:58:23 GMT",
"version": "v2"
}
] | 2023-01-04 | [
[
"Afshordi",
"Niayesh",
"",
"Waterloo/PI"
],
[
"Magueijo",
"João",
"",
"Imperial College"
]
] | We use the quantum unimodular theory of gravity to relate the value of the cosmological constant, $\Lambda$, and the energy scale for the emergence of cosmological classicality. The fact that $\Lambda$ and unimodular time are complementary quantum variables implies a perennially quantum Universe should $\Lambda$ be zero (or, indeed, fixed at any value). Likewise, the smallness of $\Lambda$ puts an upper bound on its uncertainty, and so a lower bound on the unimodular clock's uncertainty or the cosmic time for the emergence of classicality. Far from being the Planck scale, classicality arises at around $7 \times 10^{11}$ GeV for the observed $\Lambda$, and taking the region of classicality to be our Hubble volume. We confirm this argument with a direct evaluation of the wavefunction of the Universe in the connection representation for unimodular theory. Our argument is robust, with the only leeway being in the comoving volume of our cosmological classical patch, which should be bigger than that of the observed last scattering surface. Should it be taken to be the whole of a closed Universe, then the constraint depends weakly on $\Omega_k$: for $-\Omega_k < 10^{-3}$ classicality is reached at $ > 4 \times 10^{12}$ GeV. If it is infinite, then this energy scale is infinite, and the Universe is always classical within the minisuperspace approximation. It is a remarkable coincidence that the only way to render the Universe classical just below the Planck scale is to define the size of the classical patch as the scale of non-linearity for a red spectrum with the observed spectral index $n_s = 0.967(4)$ (about $10^{11}$ times the size of the current Hubble volume). In the context of holographic cosmology, we may interpret this size as the scale of confinement in the dual 3D quantum field theory, which may be probed (directly or indirectly) with future cosmological surveys. |
hep-th/0602288 | Branko Dragovich | Branko Dragovich and Zoran Rakic | Some Aspects of Noncommutativity on Real, p-Adic and Adelic Spaces | 17 pages, to appear in Proc. of the Conference 'Contemporay Geometry
and Related Topics', (June 26 - July 2, 2005, Belgrade, Serbia and
Montenegro) | null | null | null | hep-th | null | Classical and quantum mechanics for an extended Heisenberg algebra with
canonical commutation relations for position and momentum coordinates are
considered. In this approach additional noncommutativity is removed from the
algebra by linear transformation of phase space coordinates and transmitted to
the Hamiltonian (Lagrangian). This transformation does not change the quadratic
form of Hamiltonian (Lagrangian) and Feynman's path integral maintains its
well-known exact expression for quadratic systems. The compact matrix formalism
is presented and can be easily employed in particular cases. Some p-adic and
adelic aspects of noncommutativity are also considered.
| [
{
"created": "Tue, 28 Feb 2006 14:13:26 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dragovich",
"Branko",
""
],
[
"Rakic",
"Zoran",
""
]
] | Classical and quantum mechanics for an extended Heisenberg algebra with canonical commutation relations for position and momentum coordinates are considered. In this approach additional noncommutativity is removed from the algebra by linear transformation of phase space coordinates and transmitted to the Hamiltonian (Lagrangian). This transformation does not change the quadratic form of Hamiltonian (Lagrangian) and Feynman's path integral maintains its well-known exact expression for quadratic systems. The compact matrix formalism is presented and can be easily employed in particular cases. Some p-adic and adelic aspects of noncommutativity are also considered. |
1106.3147 | Takao Suyama | Takao Suyama | Eigenvalue Distributions in Matrix Models for Chern-Simons-matter
Theories | 32 pages, 7 figures, v2) references added | Nucl.Phys.B856:497-527,2012 | 10.1016/j.nuclphysb.2011.11.013 | SNUTP11-004 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The eigenvalue distribution is investigated for matrix models related via the
localization to Chern-Simons-matter theories. An integral representation of the
planar resolvent is used to derive the positions of the branch points of the
planar resolvent in the large 't Hooft coupling limit. Various known exact
results on eigenvalue distributions and the expectation value of Wilson loops
are reproduced.
| [
{
"created": "Thu, 16 Jun 2011 06:05:16 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jul 2011 07:00:22 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Suyama",
"Takao",
""
]
] | The eigenvalue distribution is investigated for matrix models related via the localization to Chern-Simons-matter theories. An integral representation of the planar resolvent is used to derive the positions of the branch points of the planar resolvent in the large 't Hooft coupling limit. Various known exact results on eigenvalue distributions and the expectation value of Wilson loops are reproduced. |
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