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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1109.5521 | Harold Steinacker | Harold Steinacker | Non-commutative geometry and matrix models | 26 pages. Lectures delivered at the 3rd Quantum Geometry and Quantum
Gravity School, Zakopane 2011. V2,V3: minor improvements | PoS QGQGS2011 (2011) 004 | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes provide an introduction to the noncommutative matrix geometry
which arises within matrix models of Yang-Mills type. Starting from basic
examples of compact fuzzy spaces, a general notion of embedded noncommutative
spaces (branes) is formulated, and their effective Riemannian geometry is
elaborated. This class of configurations is preserved under small deformations,
and is therefore appropriate for matrix models. A realization of generic
4-dimensional geometries is sketched, and the relation with spectral geometry
and with noncommutative gauge theory is explained. In a second part, dynamical
aspects of these matrix geometries are discussed. The one-loop effective action
for the maximally supersymmetric IKKT or IIB matrix model is discussed, which
is well-behaved on 4-dimensional branes.
| [
{
"created": "Mon, 26 Sep 2011 10:51:11 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Oct 2011 07:01:42 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Jan 2013 10:37:24 GMT",
"version": "v3"
}
] | 2014-09-11 | [
[
"Steinacker",
"Harold",
""
]
] | These notes provide an introduction to the noncommutative matrix geometry which arises within matrix models of Yang-Mills type. Starting from basic examples of compact fuzzy spaces, a general notion of embedded noncommutative spaces (branes) is formulated, and their effective Riemannian geometry is elaborated. This class of configurations is preserved under small deformations, and is therefore appropriate for matrix models. A realization of generic 4-dimensional geometries is sketched, and the relation with spectral geometry and with noncommutative gauge theory is explained. In a second part, dynamical aspects of these matrix geometries are discussed. The one-loop effective action for the maximally supersymmetric IKKT or IIB matrix model is discussed, which is well-behaved on 4-dimensional branes. |
hep-th/0106275 | Delius | P. Baseilhac and G.W. Delius | Coupling integrable field theories to mechanical systems at the boundary | 16 pages | J.Phys.A34:8259-8270,2001 | 10.1088/0305-4470/34/40/304 | null | hep-th cond-mat math-ph math.MP nlin.SI | null | We present an integrable Hamiltonian which describes the sinh-Gordon model on
the half line coupled to a non-linear oscillator at the boundary. We explain
how we apply Sklyanin's formalism to a dynamical reflection matrix to obtain
this model. This method can be applied to couple other integrable field
theories to dynamical systems at the boundary. We also show how to find the
dynamical solution of the quantum reflection equation corresponding to our
particular example.
| [
{
"created": "Fri, 29 Jun 2001 21:05:32 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Baseilhac",
"P.",
""
],
[
"Delius",
"G. W.",
""
]
] | We present an integrable Hamiltonian which describes the sinh-Gordon model on the half line coupled to a non-linear oscillator at the boundary. We explain how we apply Sklyanin's formalism to a dynamical reflection matrix to obtain this model. This method can be applied to couple other integrable field theories to dynamical systems at the boundary. We also show how to find the dynamical solution of the quantum reflection equation corresponding to our particular example. |
1904.06582 | Kengo Kikuchi | Daisuke Kadoh, Kengo Kikuchi, Naoya Ukita | Supersymmetric gradient flow in the Wess-Zumino model | 19 pages; v2: published version | Phys. Rev. D 100, 014501 (2019) | 10.1103/PhysRevD.100.014501 | MISC-2019-01, KUNS-2756, UTCCS-P-116 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a supersymmetric gradient flow equation in the four-dimensional
Wess-Zumino model. The flow is constructed in two ways. One is based on the
off-shell component fields and the other is based on the superfield formalism,
in which the same result is provided. The obtained flow is supersymmetric
because the flow time derivative and the supersymmetry transformation commute
with each other. Solving the equation, we find that it has a damping
oscillation with the flow time for nonzero mass, which is different from the
Yang-Mills flow. The on-shell flow equation is also discussed.
| [
{
"created": "Sat, 13 Apr 2019 18:17:59 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Aug 2019 11:56:07 GMT",
"version": "v2"
}
] | 2019-08-06 | [
[
"Kadoh",
"Daisuke",
""
],
[
"Kikuchi",
"Kengo",
""
],
[
"Ukita",
"Naoya",
""
]
] | We propose a supersymmetric gradient flow equation in the four-dimensional Wess-Zumino model. The flow is constructed in two ways. One is based on the off-shell component fields and the other is based on the superfield formalism, in which the same result is provided. The obtained flow is supersymmetric because the flow time derivative and the supersymmetry transformation commute with each other. Solving the equation, we find that it has a damping oscillation with the flow time for nonzero mass, which is different from the Yang-Mills flow. The on-shell flow equation is also discussed. |
2210.14792 | Chiang-Mei Chen | Chiang-Mei Chen, Toshimasa Ishige, Sang Pyo Kim, Akitoshi Takayasu,
Chun-Yu Wei | Monodromy Approach to Pair Production of Charged Black Holes and
Electric Fields | version to appear in Chinese Journal of Physics | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | To find the pair production, absorption cross section and quasi-normal modes
in background fields, we advance the monodromy method that makes use of the
regular singular points of wave equations. We find the mean number of pairs
produced in background fields whose mode equations belong to the Riemann
differential equation and apply the method to the three particular cases: (i)
charges near the horizon of near-extremal black holes, (ii) charges with
minimal energy under the static balance in nonextremal charged black holes, and
(iii) charges in the Sauter-type electric fields. We then compare the results
from the monodromy with those from the exact wave functions in terms of the
hypergeometric functions with three regular singular points. The explicit
elaboration of monodromy and the model calculations worked out here seem to
reveal evidences that the monodromy may provide a practical technique to study
the spontaneous pair production in general black holes and electromagnetic
fields.
| [
{
"created": "Wed, 26 Oct 2022 15:39:21 GMT",
"version": "v1"
},
{
"created": "Mon, 1 May 2023 07:40:16 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Oct 2023 18:35:01 GMT",
"version": "v3"
}
] | 2023-10-10 | [
[
"Chen",
"Chiang-Mei",
""
],
[
"Ishige",
"Toshimasa",
""
],
[
"Kim",
"Sang Pyo",
""
],
[
"Takayasu",
"Akitoshi",
""
],
[
"Wei",
"Chun-Yu",
""
]
] | To find the pair production, absorption cross section and quasi-normal modes in background fields, we advance the monodromy method that makes use of the regular singular points of wave equations. We find the mean number of pairs produced in background fields whose mode equations belong to the Riemann differential equation and apply the method to the three particular cases: (i) charges near the horizon of near-extremal black holes, (ii) charges with minimal energy under the static balance in nonextremal charged black holes, and (iii) charges in the Sauter-type electric fields. We then compare the results from the monodromy with those from the exact wave functions in terms of the hypergeometric functions with three regular singular points. The explicit elaboration of monodromy and the model calculations worked out here seem to reveal evidences that the monodromy may provide a practical technique to study the spontaneous pair production in general black holes and electromagnetic fields. |
2406.12851 | Guanda Lin | Sean Colin-Ellerin, Guanda Lin | Generalized entropy of photons in AdS | 68 pages, 3 figures, 2 tables + appendices | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work analyzes the quantum corrections to holographic entanglement
entropy at first subleading order in $G_{N}$ due to photon excited states in
AdS. We compute the vacuum-subtracted von Neumann entropy of a $U(1)$ current
excited state for a polar cap region on the cylinder in any large-$N$,
strongly-coupled CFT$_{d}$ holographically dual to weakly-coupled Einstein
gravity for any dimension $d>2$. We then quantize a Maxwell field in
AdS$_{d+1}$ dual to the $U(1)$ current and consider a photon excited state
whose vacuum-subtracted generalized entropy for the entanglement wedge is
calculated. In order to factorise the Maxwell Hilbert space in AdS, we
construct an extended Hilbert space and the corresponding electromagnetic edge
modes. We find exact agreement between the CFT entanglement entropy and AdS
generalized entropy without the inclusion of entropy of the edge modes.
Finally, we show via explicit calculation that the contribution to the
vacuum-subtracted von Neumann entropy from electromagnetic edge modes indeed
vanishes, which is crucial for consistency with known holographic entropy
formulas.
| [
{
"created": "Tue, 18 Jun 2024 17:59:44 GMT",
"version": "v1"
}
] | 2024-06-19 | [
[
"Colin-Ellerin",
"Sean",
""
],
[
"Lin",
"Guanda",
""
]
] | This work analyzes the quantum corrections to holographic entanglement entropy at first subleading order in $G_{N}$ due to photon excited states in AdS. We compute the vacuum-subtracted von Neumann entropy of a $U(1)$ current excited state for a polar cap region on the cylinder in any large-$N$, strongly-coupled CFT$_{d}$ holographically dual to weakly-coupled Einstein gravity for any dimension $d>2$. We then quantize a Maxwell field in AdS$_{d+1}$ dual to the $U(1)$ current and consider a photon excited state whose vacuum-subtracted generalized entropy for the entanglement wedge is calculated. In order to factorise the Maxwell Hilbert space in AdS, we construct an extended Hilbert space and the corresponding electromagnetic edge modes. We find exact agreement between the CFT entanglement entropy and AdS generalized entropy without the inclusion of entropy of the edge modes. Finally, we show via explicit calculation that the contribution to the vacuum-subtracted von Neumann entropy from electromagnetic edge modes indeed vanishes, which is crucial for consistency with known holographic entropy formulas. |
1812.06394 | Kazuki Kiyoshige | Kazuki Kiyoshige and Takahiro Nishinaka | OPE Selection Rules for Schur Multiplets in 4D $\mathcal{N}=2$
Superconformal Field Theories | 39 pages | JHEP 04 (2019) 060 | 10.1007/JHEP04(2019)060 | OCU-PHYS 494 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute general expressions for two types of three-point functions of
(semi-)short multiplets in four-dimensional $\mathcal{N}=2$ superconformal
field theories. These (semi-)short multiplets are called "Schur multiplets" and
play an important role in the study of associated chiral algebras. The first
type of the three-point functions we compute involves two half-BPS Schur
multiplets and an arbitrary Schur multiplet, while the second type involves one
stress tensor multiplet and two arbitrary Schur multiplets. From these
three-point functions, we read off the corresponding OPE selection rules for
the Schur multiplets. Our results particularly imply that there are non-trivial
selection rules on the quantum numbers of Schur operators in these multiplets.
We also give a conjecture on the selection rules for general Schur multiplets.
| [
{
"created": "Sun, 16 Dec 2018 05:27:03 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Apr 2019 08:22:08 GMT",
"version": "v2"
}
] | 2019-05-01 | [
[
"Kiyoshige",
"Kazuki",
""
],
[
"Nishinaka",
"Takahiro",
""
]
] | We compute general expressions for two types of three-point functions of (semi-)short multiplets in four-dimensional $\mathcal{N}=2$ superconformal field theories. These (semi-)short multiplets are called "Schur multiplets" and play an important role in the study of associated chiral algebras. The first type of the three-point functions we compute involves two half-BPS Schur multiplets and an arbitrary Schur multiplet, while the second type involves one stress tensor multiplet and two arbitrary Schur multiplets. From these three-point functions, we read off the corresponding OPE selection rules for the Schur multiplets. Our results particularly imply that there are non-trivial selection rules on the quantum numbers of Schur operators in these multiplets. We also give a conjecture on the selection rules for general Schur multiplets. |
hep-th/0412080 | D. V. Ahluwalia-Khalilova | D. V. Ahluwalia-Khalilova, D. Grumiller | Spin half fermions with mass dimension one: theory, phenomenology, and
dark matter | 78 pages [Changes: referee-suggested improvements, additional
important references, and better readability] | JCAP 0507:012,2005 | 10.1088/1475-7516/2005/07/012 | ASGBG/CIU Preprint: 07.12.2004A; Leipzig Preprint: LU-ITP 2004/046 | hep-th astro-ph gr-qc math-ph math.MP | null | We provide the first details on the unexpected theoretical discovery of a
spin-one-half matter field with mass dimension one. It is based upon a complete
set of dual-helicity eigenspinors of the charge conjugation operator. Due to
its unusual properties with respect to charge conjugation and parity, it
belongs to a non-standard Wigner class. Consequently, the theory exhibits
non-locality with (CPT)^2 = - I. We briefly discuss its relevance to the
cosmological `horizon problem'. Because the introduced fermionic field is
endowed with mass dimension one, it can carry a quartic self-interaction. Its
dominant interaction with known forms of matter is via Higgs, and with gravity.
This aspect leads us to contemplate the new fermion as a prime dark matter
candidate. Taking this suggestion seriously we study a supernova-like explosion
of a galactic-mass dark matter cloud to set limits on the mass of the new
particle and present a calculation on relic abundance to constrain the relevant
cross-section. The analysis favours light mass (roughly 20 MeV) and relevant
cross-section of about 2 pb. Similarities and differences with the WIMP and
mirror matter proposals for dark matter are enumerated. In a critique of the
theory we bare a hint on non-commutative aspects of spacetime, and
energy-momentum space.
| [
{
"created": "Tue, 7 Dec 2004 21:29:06 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 2005 17:16:12 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Aug 2005 18:38:00 GMT",
"version": "v3"
}
] | 2011-06-16 | [
[
"Ahluwalia-Khalilova",
"D. V.",
""
],
[
"Grumiller",
"D.",
""
]
] | We provide the first details on the unexpected theoretical discovery of a spin-one-half matter field with mass dimension one. It is based upon a complete set of dual-helicity eigenspinors of the charge conjugation operator. Due to its unusual properties with respect to charge conjugation and parity, it belongs to a non-standard Wigner class. Consequently, the theory exhibits non-locality with (CPT)^2 = - I. We briefly discuss its relevance to the cosmological `horizon problem'. Because the introduced fermionic field is endowed with mass dimension one, it can carry a quartic self-interaction. Its dominant interaction with known forms of matter is via Higgs, and with gravity. This aspect leads us to contemplate the new fermion as a prime dark matter candidate. Taking this suggestion seriously we study a supernova-like explosion of a galactic-mass dark matter cloud to set limits on the mass of the new particle and present a calculation on relic abundance to constrain the relevant cross-section. The analysis favours light mass (roughly 20 MeV) and relevant cross-section of about 2 pb. Similarities and differences with the WIMP and mirror matter proposals for dark matter are enumerated. In a critique of the theory we bare a hint on non-commutative aspects of spacetime, and energy-momentum space. |
hep-th/9601062 | Krzysztof Meissner | Jerzy Kowalski-Glikman, Krzysztof A. Meissner | A Class of Exact Solutions of the Wheeler -- De Witt Equation | 9 pages, Latex, (one reference and one conclusion added, minor
corrections in the formulae) | Phys.Lett. B376 (1996) 48-52 | 10.1016/0370-2693(96)00268-7 | IFT/2/96 | hep-th gr-qc | null | After carefully regularizing the Wheeler -- De Witt operator, which is the
Hamiltonian operator of canonical quantum gravity, we find a class of exact
solutions of the Wheeler -- De Witt equation.
| [
{
"created": "Fri, 12 Jan 1996 11:45:44 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 1996 10:53:44 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Kowalski-Glikman",
"Jerzy",
""
],
[
"Meissner",
"Krzysztof A.",
""
]
] | After carefully regularizing the Wheeler -- De Witt operator, which is the Hamiltonian operator of canonical quantum gravity, we find a class of exact solutions of the Wheeler -- De Witt equation. |
0907.1466 | Jian-Zu Zhang | Jian-Zu Zhang | Consistent Deformed Bosonic Algebra in Noncommutative Quantum Mechanics | 14 pages | International Journal of Modern Physics A, Vol.23, N0.9 (2008)
1393-1403 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In two-dimensional noncommutive space for the case of both position -
position and momentum - momentum noncommuting, the consistent deformed bosonic
algebra at the non-perturbation level described by the deformed annihilation
and creation operators is investigated. A general relation between
noncommutative parameters is fixed from the consistency of the deformed
Heisenberg - Weyl algebra with the deformed bosonic algebra. A Fock space is
found, in which all calculations can be similarly developed as if in
commutative space and all effects of spatial noncommutativity are simply
represented by parameters.
| [
{
"created": "Thu, 9 Jul 2009 09:17:02 GMT",
"version": "v1"
}
] | 2009-07-10 | [
[
"Zhang",
"Jian-Zu",
""
]
] | In two-dimensional noncommutive space for the case of both position - position and momentum - momentum noncommuting, the consistent deformed bosonic algebra at the non-perturbation level described by the deformed annihilation and creation operators is investigated. A general relation between noncommutative parameters is fixed from the consistency of the deformed Heisenberg - Weyl algebra with the deformed bosonic algebra. A Fock space is found, in which all calculations can be similarly developed as if in commutative space and all effects of spatial noncommutativity are simply represented by parameters. |
hep-th/0104228 | Surujhdeo Seunarine | Surujhdeo Seunarine (1) and Douglas W. McKay (2) ((1)University of
Canterbury, Christchurch, New Zealand, (2)University of Kansas, Lawrence KS,
U.S.A.) | Additive and Multiplicative Noise Driven Systems in 1+1 Dimensions:
Waiting Time Extraction of Nucleation Rates | 38 pages, 20 figures, 6 tables | Phys.Rev. D64 (2001) 105015 | 10.1103/PhysRevD.64.105015 | null | hep-th hep-ph | null | We study the rate of true vacuum bubble nucleation numerically for a phi^4
field system coupled to a source of thermal noise. We compare in detail the
cases of additive and multiplicative noise. We pay special attention to the
choice of initial field configuration, showing the advantages of a version of
the quenching technique. We advocate a new method of extracting the nucleation
time scale that employs the full distribution of nucleation times. Large data
samples are needed to study the initial state configuration choice and to
extract nucleation times to good precision. The 1+1 dimensional models afford
large statistics samples in reasonable running times. We find that for both
additive and multiplicative models, nucleation time distributions are well fit
by a waiting time, or gamma, distribution for all parameters studied. The
nucleation rates are a factor three or more slower for the multiplicative
compared to the additive models with the same dimensionless parameter choices.
Both cases lead to high confidence level linear fits of ln(nucleation time) vs.
1/T plots, in agreement with semiclassical nucleation rate predictions.
| [
{
"created": "Thu, 26 Apr 2001 05:28:41 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Aug 2001 00:44:31 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Seunarine",
"Surujhdeo",
""
],
[
"McKay",
"Douglas W.",
""
]
] | We study the rate of true vacuum bubble nucleation numerically for a phi^4 field system coupled to a source of thermal noise. We compare in detail the cases of additive and multiplicative noise. We pay special attention to the choice of initial field configuration, showing the advantages of a version of the quenching technique. We advocate a new method of extracting the nucleation time scale that employs the full distribution of nucleation times. Large data samples are needed to study the initial state configuration choice and to extract nucleation times to good precision. The 1+1 dimensional models afford large statistics samples in reasonable running times. We find that for both additive and multiplicative models, nucleation time distributions are well fit by a waiting time, or gamma, distribution for all parameters studied. The nucleation rates are a factor three or more slower for the multiplicative compared to the additive models with the same dimensionless parameter choices. Both cases lead to high confidence level linear fits of ln(nucleation time) vs. 1/T plots, in agreement with semiclassical nucleation rate predictions. |
hep-th/9409143 | null | John F. Donoghue | The ideas of gravitational effective field theory | Talk presented at the XXVIII International Conference on High Energy
Physics, ICHEP94, Glasgow, July 1994, to be published in the proceedings.]
Latex, 5 pages, no figures, UMHEP-413 | null | null | null | hep-th gr-qc | null | I give a very brief introduction to the use of effective field theory
techniques in quantum calculations of general relativity. The gravitational
interaction is naturally organized as a quantum effective field theory and a
certain class of quantum corrections can be calculated.
| [
{
"created": "Fri, 23 Sep 1994 15:45:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Donoghue",
"John F.",
""
]
] | I give a very brief introduction to the use of effective field theory techniques in quantum calculations of general relativity. The gravitational interaction is naturally organized as a quantum effective field theory and a certain class of quantum corrections can be calculated. |
hep-th/0105041 | Marco Matone | Marco Matone | The Instanton Universal Moduli Space of N=2 Supersymmetric Yang-Mills
Theory | 1+4 pages, LaTeX. Minor changes. To appear in Phys. Lett. B | Phys.Lett. 514 (2001) 161 | 10.1016/S0370-2693(01)00783-3 | DFPD01/TH/13 | hep-th hep-ph math-ph math.AG math.MP | null | We use the recursive structure of the compactification of the instanton
moduli space of N=2 Super Yang-Mills theory with gauge group SU(2), to
construct, by inductive limit, a universal moduli space which includes all the
multi-instanton moduli spaces. Furthermore, with the aim of understanding the
field theoretic structure of the strong coupling expansion, we perform the
Borel sum which acts on the parameter defining such a universal moduli space.
| [
{
"created": "Fri, 4 May 2001 19:55:17 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jun 2001 13:56:41 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Matone",
"Marco",
""
]
] | We use the recursive structure of the compactification of the instanton moduli space of N=2 Super Yang-Mills theory with gauge group SU(2), to construct, by inductive limit, a universal moduli space which includes all the multi-instanton moduli spaces. Furthermore, with the aim of understanding the field theoretic structure of the strong coupling expansion, we perform the Borel sum which acts on the parameter defining such a universal moduli space. |
1207.3112 | Burkhard Eden | Burkhard Eden | Three-loop universal structure constants in N=4 susy Yang-Mills theory | 23 pages, LaTeX | null | null | HU-EP-12/20; HU-MATH-2012-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a conjecture for the normalisation of the twist two conformal
partial waves in a double OPE limit of the four-point function of stress tensor
multiplets in N = 4 super Yang-Mills theory up to three loops. This contains
information about the structure constants in the OPE. Like the twist two
anomalous dimensions our result is expressed as a linear combination of
harmonic sums whose argument is the spin of the exchanged operators. To arrive
at the result we derive asymptotic expansions for the twist two part of two
unknown three-loop integrals using the method of expansion by regions,
complemented by some intuition gained on the example of the ladder integrals up
to three loops.
| [
{
"created": "Thu, 12 Jul 2012 22:19:27 GMT",
"version": "v1"
}
] | 2012-07-18 | [
[
"Eden",
"Burkhard",
""
]
] | We present a conjecture for the normalisation of the twist two conformal partial waves in a double OPE limit of the four-point function of stress tensor multiplets in N = 4 super Yang-Mills theory up to three loops. This contains information about the structure constants in the OPE. Like the twist two anomalous dimensions our result is expressed as a linear combination of harmonic sums whose argument is the spin of the exchanged operators. To arrive at the result we derive asymptotic expansions for the twist two part of two unknown three-loop integrals using the method of expansion by regions, complemented by some intuition gained on the example of the ladder integrals up to three loops. |
hep-th/0012205 | Peter Jarvis | P D Jarvis, K S Fienberg (School of Mathematics and Physics,
University of Tasmania) | On schizosymmetric superfields and sl(2/1,C)_R supersymmetry | 8 pages, LaTeX | J.Phys.A34:3823-3830,2001 | 10.1088/0305-4470/34/18/310 | UTAS-PHYS-00-16 | hep-th | null | Superfield expansions over four-dimensional graded spacetime
$(x^\mu,\theta^\nu)$, with Minkowski coordinates $x$ extended by vector
Grassmann variables $\theta$, are investigated. By appropriate identification
of the physical Lorentz algebra in the even and odd parts of the superfield, a
typology of `schizofields' containing both integer and half-integer spin fields
is established. For two of these types, identified as `gauge potential'-like
and `field strength'-like schizofields, an $sl(2/1,{\mathbb C})_{\mathbb R}$
supersymmetry at the component field level is demonstrated. Prospects for a
schizofield calculus, and application of these types of fields to the particle
spectrum, are adumbrated.
| [
{
"created": "Thu, 21 Dec 2000 04:58:42 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Jarvis",
"P D",
"",
"School of Mathematics and Physics,\n University of Tasmania"
],
[
"Fienberg",
"K S",
"",
"School of Mathematics and Physics,\n University of Tasmania"
]
] | Superfield expansions over four-dimensional graded spacetime $(x^\mu,\theta^\nu)$, with Minkowski coordinates $x$ extended by vector Grassmann variables $\theta$, are investigated. By appropriate identification of the physical Lorentz algebra in the even and odd parts of the superfield, a typology of `schizofields' containing both integer and half-integer spin fields is established. For two of these types, identified as `gauge potential'-like and `field strength'-like schizofields, an $sl(2/1,{\mathbb C})_{\mathbb R}$ supersymmetry at the component field level is demonstrated. Prospects for a schizofield calculus, and application of these types of fields to the particle spectrum, are adumbrated. |
1808.03393 | Baomin Gu | Bao-Min Gu and Robert Brandenberger | Reheating and Entropy Perturbations in Fibre Inflation | 20 pages, 18 figures | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study reheating in some one and two field realizations of {\it Fibre
Inflation}. We find that reheating begins with a phase of preheating in which
long wavelength fluctuation modes are excited. In two field models there is a
danger that the parametric amplification of infrared fluctuations in the second
scalar field - associated with an entropy mode - might induce an instability of
the curvature fluctuations. We show that, at least in the models we consider,
the entropy mode has a sufficiently large mass to prevent this instability.
Hence, from the point of view of reheating the models we consider are
well-behaved.
| [
{
"created": "Fri, 10 Aug 2018 02:25:13 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Sep 2018 12:23:28 GMT",
"version": "v2"
}
] | 2018-09-05 | [
[
"Gu",
"Bao-Min",
""
],
[
"Brandenberger",
"Robert",
""
]
] | We study reheating in some one and two field realizations of {\it Fibre Inflation}. We find that reheating begins with a phase of preheating in which long wavelength fluctuation modes are excited. In two field models there is a danger that the parametric amplification of infrared fluctuations in the second scalar field - associated with an entropy mode - might induce an instability of the curvature fluctuations. We show that, at least in the models we consider, the entropy mode has a sufficiently large mass to prevent this instability. Hence, from the point of view of reheating the models we consider are well-behaved. |
hep-th/9312010 | Michael Freeman | Michael Freeman and Peter West | Parafermions, $W$ Strings and their BRST Charges | 12 pages, KCL-TH-93-14. (Minor corrections to equation 19 and
reference 9) | Phys.Lett.B324:322-327,1994 | 10.1016/0370-2693(94)90201-1 | null | hep-th | null | We show how to relate the parafermions that occur in the $W_3$ string to the
standard construction of parafermions. This result is then used to show that
one of the screening charges that occurs in parafermionic theories is precisely
the non-trivial part of the $W_3$ string BRST charge. A way of generalizing
this pattern for a $W_N$ string is explained. This enables us to construct the
full BRST charge for a $W_{2,N}$ string and to prove the relation of such a
string to the algebra $W_{N-1}$ for arbitrary $N$, We also show how to
calculate part of the BRST charge for a $W_N$ string, and we explain how our
method might be extended to obtain the full BRST charge for such a string.
| [
{
"created": "Thu, 2 Dec 1993 15:50:46 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 1993 14:26:09 GMT",
"version": "v2"
}
] | 2010-12-17 | [
[
"Freeman",
"Michael",
""
],
[
"West",
"Peter",
""
]
] | We show how to relate the parafermions that occur in the $W_3$ string to the standard construction of parafermions. This result is then used to show that one of the screening charges that occurs in parafermionic theories is precisely the non-trivial part of the $W_3$ string BRST charge. A way of generalizing this pattern for a $W_N$ string is explained. This enables us to construct the full BRST charge for a $W_{2,N}$ string and to prove the relation of such a string to the algebra $W_{N-1}$ for arbitrary $N$, We also show how to calculate part of the BRST charge for a $W_N$ string, and we explain how our method might be extended to obtain the full BRST charge for such a string. |
1312.4118 | Yan-Gang Miao | Yan-Gang Miao and Ying-Jie Zhao | Interpretation of the Cosmological Constant Problem within the Framework
of Generalized Uncertainty Principle | 10 pages, no figures; v2: clarifications added; v3: 11 pages, title
slightly changed, clarifications added, the final version to appear in IJMPD | Int. J. Mod. Phys. D 23 (2014) 1450062 | 10.1142/S021827181450062X | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an improved exponential Generalized Uncertainty Principle (GUP) by
introducing a positive integer $n$ called the suppressing index. Due to the
UV/IR mixing brought by the GUP, the states with momenta smaller than the
critical momentum ($P < P_{\rm Crit}$) are canceled by the states with momenta
larger than the critical momentum ($P > P_{\rm Crit}$) and thus have no
contributions to the energy density of the vacuum. By considering the
contributions just from the states with momenta larger than the critical
momentum ($P > P_{\rm Crit}$) and choosing a suitable suppressing index, $n
\sim 10^{123}$, we calculate the cosmological constant consistent with the
experimentally observed value.
| [
{
"created": "Sun, 15 Dec 2013 07:16:45 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2014 07:44:24 GMT",
"version": "v2"
},
{
"created": "Sun, 4 May 2014 03:31:59 GMT",
"version": "v3"
}
] | 2014-05-20 | [
[
"Miao",
"Yan-Gang",
""
],
[
"Zhao",
"Ying-Jie",
""
]
] | We propose an improved exponential Generalized Uncertainty Principle (GUP) by introducing a positive integer $n$ called the suppressing index. Due to the UV/IR mixing brought by the GUP, the states with momenta smaller than the critical momentum ($P < P_{\rm Crit}$) are canceled by the states with momenta larger than the critical momentum ($P > P_{\rm Crit}$) and thus have no contributions to the energy density of the vacuum. By considering the contributions just from the states with momenta larger than the critical momentum ($P > P_{\rm Crit}$) and choosing a suitable suppressing index, $n \sim 10^{123}$, we calculate the cosmological constant consistent with the experimentally observed value. |
hep-th/0501028 | Nemanja Kaloper | Nemanja Kaloper | Brane-Induced Gravity's Shocks | 4 pages, revtex4; v4: a sign error corrected; the correction
tantamount to swapping normal and self-inflating branch solutions; the only
significant change is that the spectacular new instability is on the
self-inflating branch in the limit of vanishing brane tension; more details
available in hep-th/0502035 | Phys.Rev.Lett. 94 (2005) 181601; Erratum-ibid. 95 (2005) 059901 | 10.1103/PhysRevLett.94.181601 | null | hep-th astro-ph gr-qc hep-ph | null | We construct exact gravitational field solutions for a relativistic particle
localized on a tensional brane in brane-induced gravity. They are a
generalization of gravitational shock waves in 4D de Sitter space. We provide
the metrics for both the normal branch and the self-inflating branch DGP
braneworlds, and compare them to the 4D Einstein gravity solution and to the
case when gravity resides only in the 5D bulk, without any brane-localized
curvature terms. At short distances the wave profile looks the same as in four
dimensions. The corrections appear only far from the source, where they differ
from the long distance corrections in 4D de Sitter space. We also discover a
new non-perturbative channel for energy emission into the bulk from the
self-inflating branch, when gravity is modified at the de Sitter radius.
| [
{
"created": "Thu, 6 Jan 2005 20:16:01 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2005 18:44:02 GMT",
"version": "v2"
},
{
"created": "Tue, 3 May 2005 17:44:05 GMT",
"version": "v3"
},
{
"created": "Sun, 22 May 2005 05:13:04 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Kaloper",
"Nemanja",
""
]
] | We construct exact gravitational field solutions for a relativistic particle localized on a tensional brane in brane-induced gravity. They are a generalization of gravitational shock waves in 4D de Sitter space. We provide the metrics for both the normal branch and the self-inflating branch DGP braneworlds, and compare them to the 4D Einstein gravity solution and to the case when gravity resides only in the 5D bulk, without any brane-localized curvature terms. At short distances the wave profile looks the same as in four dimensions. The corrections appear only far from the source, where they differ from the long distance corrections in 4D de Sitter space. We also discover a new non-perturbative channel for energy emission into the bulk from the self-inflating branch, when gravity is modified at the de Sitter radius. |
0707.3126 | Ofer Aharony | Ofer Aharony and Shamit Kachru | Stringy Instantons and Cascading Quivers | 17 pages, 6 figures, harvmac | null | 10.1088/1126-6708/2007/09/060 | SLAC-PUB-12680, SU-ITP-07/09, WIS/10/07-JUL-DPP | hep-th | null | D-brane instantons can perturb the quantum field theories on space-time
filling D-branes by interesting operators. In some cases, these D-brane
instantons are novel "stringy" effects (not interpretable directly as instanton
effects in the low-energy quantum field theory), while in others the D-brane
instantons can be directly interpreted as field theory effects. In this note,
we describe a situation where both perspectives are available, by studying
stringy instantons in quivers which arise at simple Calabi-Yau singularities.
We show that a stringy instanton which wraps an unoccupied node of the quiver,
and gives rise to a non-perturbative mass in the space-time field theory, can
be reinterpreted as a conventional gauge theory effect by going up in an
appropriate renormalization group cascade. Interestingly, in the cascade, the
contribution of the stringy instanton does not come from gauge theory
instantons but from strong coupling dynamics.
| [
{
"created": "Fri, 20 Jul 2007 18:48:01 GMT",
"version": "v1"
}
] | 2009-11-13 | [
[
"Aharony",
"Ofer",
""
],
[
"Kachru",
"Shamit",
""
]
] | D-brane instantons can perturb the quantum field theories on space-time filling D-branes by interesting operators. In some cases, these D-brane instantons are novel "stringy" effects (not interpretable directly as instanton effects in the low-energy quantum field theory), while in others the D-brane instantons can be directly interpreted as field theory effects. In this note, we describe a situation where both perspectives are available, by studying stringy instantons in quivers which arise at simple Calabi-Yau singularities. We show that a stringy instanton which wraps an unoccupied node of the quiver, and gives rise to a non-perturbative mass in the space-time field theory, can be reinterpreted as a conventional gauge theory effect by going up in an appropriate renormalization group cascade. Interestingly, in the cascade, the contribution of the stringy instanton does not come from gauge theory instantons but from strong coupling dynamics. |
hep-th/0605066 | Carl Bender | Carl M. Bender, Dorje C. Brody, Jun-Hua Chen, Hugh F. Jones, Kimball
A. Milton, and Michael C. Ogilvie | Equivalence of a Complex $\cP\cT$-Symmetric Quartic Hamiltonian and a
Hermitian Quartic Hamiltonian with an Anomaly | 19 pages, 7 figures, corrected references | Phys.Rev.D74:025016,2006 | 10.1103/PhysRevD.74.025016 | null | hep-th math-ph math.MP quant-ph | null | In a recent paper Jones and Mateo used operator techniques to show that the
non-Hermitian $\cP\cT$-symmetric wrong-sign quartic Hamiltonian $H=\half
p^2-gx^4$ has the same spectrum as the conventional Hermitian Hamiltonian
$\tilde H=\half p^2+4g x^4-\sqrt{2g} x$. Here, this equivalence is demonstrated
very simply by means of differential-equation techniques and, more importantly,
by means of functional-integration techniques. It is shown that the linear term
in the Hermitian Hamiltonian is anomalous; that is, this linear term has no
classical analog. The anomaly arises because of the broken parity symmetry of
the original non-Hermitian $\cP\cT$-symmetric Hamiltonian. This anomaly in the
Hermitian form of a $\cP\cT$-symmetric quartic Hamiltonian is unchanged if a
harmonic term is introduced into $H$. When there is a harmonic term, an
immediate physical consequence of the anomaly is the appearance of bound
states; if there were no anomaly term, there would be no bound states. Possible
extensions of this work to $-\phi^4$ quantum field theory in higher-dimensional
space-time are discussed.
| [
{
"created": "Fri, 5 May 2006 18:01:41 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 2006 21:02:18 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bender",
"Carl M.",
""
],
[
"Brody",
"Dorje C.",
""
],
[
"Chen",
"Jun-Hua",
""
],
[
"Jones",
"Hugh F.",
""
],
[
"Milton",
"Kimball A.",
""
],
[
"Ogilvie",
"Michael C.",
""
]
] | In a recent paper Jones and Mateo used operator techniques to show that the non-Hermitian $\cP\cT$-symmetric wrong-sign quartic Hamiltonian $H=\half p^2-gx^4$ has the same spectrum as the conventional Hermitian Hamiltonian $\tilde H=\half p^2+4g x^4-\sqrt{2g} x$. Here, this equivalence is demonstrated very simply by means of differential-equation techniques and, more importantly, by means of functional-integration techniques. It is shown that the linear term in the Hermitian Hamiltonian is anomalous; that is, this linear term has no classical analog. The anomaly arises because of the broken parity symmetry of the original non-Hermitian $\cP\cT$-symmetric Hamiltonian. This anomaly in the Hermitian form of a $\cP\cT$-symmetric quartic Hamiltonian is unchanged if a harmonic term is introduced into $H$. When there is a harmonic term, an immediate physical consequence of the anomaly is the appearance of bound states; if there were no anomaly term, there would be no bound states. Possible extensions of this work to $-\phi^4$ quantum field theory in higher-dimensional space-time are discussed. |
1612.06860 | Max-Niklas Newrzella | Johanna Erdmenger, Mario Flory, Max-Niklas Newrzella, Migael Strydom,
Jackson M.S. Wu | Quantum Quenches in a Holographic Kondo Model | 23 pages + appendices, 11 figures | null | 10.1007/JHEP04(2017)045 | MPP-2016-332 | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study non-equilibrium dynamics and quantum quenches in a recent
gauge/gravity duality model for a strongly coupled system interacting with a
magnetic impurity with $SU(N)$ spin. At large $N$, it is convenient to write
the impurity spin as a bilinear in Abrikosov fermions. The model describes an
RG flow triggered by the marginally relevant Kondo operator. There is a phase
transition at a critical temperature, below which an operator condenses which
involves both an electron and an Abrikosov fermion field. This corresponds to a
holographic superconductor in AdS$_2$ and models the impurity screening. We
study the time dependence of the condensate induced by quenches of the Kondo
coupling. The timescale for equilibration is generically given by the
lowest-lying quasinormal mode of the dual gravity model. This mode also governs
the formation of the screening cloud, which is obtained as the decrease of
impurity degrees of freedom with time. In the condensed phase, the leading
quasinormal mode is imaginary and the relaxation of the condensate is
over-damped. For quenches whose final state is close to the critical point of
the large $N$ phase transition, we study the critical slowing down and obtain
the combination of critical exponents $z\nu=1$. When the final state is exactly
at the phase transition, we find that the exponential ringing of the
quasinormal modes is replaced by a power-law behaviour of the form $\sim
t^{-a}\sin(b\log t)$. This indicates the emergence of a discrete scale
invariance.
| [
{
"created": "Tue, 20 Dec 2016 21:00:01 GMT",
"version": "v1"
}
] | 2017-04-26 | [
[
"Erdmenger",
"Johanna",
""
],
[
"Flory",
"Mario",
""
],
[
"Newrzella",
"Max-Niklas",
""
],
[
"Strydom",
"Migael",
""
],
[
"Wu",
"Jackson M. S.",
""
]
] | We study non-equilibrium dynamics and quantum quenches in a recent gauge/gravity duality model for a strongly coupled system interacting with a magnetic impurity with $SU(N)$ spin. At large $N$, it is convenient to write the impurity spin as a bilinear in Abrikosov fermions. The model describes an RG flow triggered by the marginally relevant Kondo operator. There is a phase transition at a critical temperature, below which an operator condenses which involves both an electron and an Abrikosov fermion field. This corresponds to a holographic superconductor in AdS$_2$ and models the impurity screening. We study the time dependence of the condensate induced by quenches of the Kondo coupling. The timescale for equilibration is generically given by the lowest-lying quasinormal mode of the dual gravity model. This mode also governs the formation of the screening cloud, which is obtained as the decrease of impurity degrees of freedom with time. In the condensed phase, the leading quasinormal mode is imaginary and the relaxation of the condensate is over-damped. For quenches whose final state is close to the critical point of the large $N$ phase transition, we study the critical slowing down and obtain the combination of critical exponents $z\nu=1$. When the final state is exactly at the phase transition, we find that the exponential ringing of the quasinormal modes is replaced by a power-law behaviour of the form $\sim t^{-a}\sin(b\log t)$. This indicates the emergence of a discrete scale invariance. |
1008.1877 | Sergei Kuzenko | Sergei M. Kuzenko | Variant supercurrents and Noether procedure | 6 pages | Eur.Phys.J.C71:1513,2011 | 10.1140/epjc/s10052-010-1513-1 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Consistent supercurrent multiplets are naturally associated with linearized
off-shell supergravity models. In arXiv:1002.4932 we presented the hierarchy of
such supercurrents which correspond to all the models for linearized 4D N = 1
supergravity classified a few years ago. Here we analyze the correspondence
between the most general supercurrent given in arXiv:1002.4932 and the one
obtained eight years ago in hep-th/0110131 using the superfield Noether
procedure. We apply the Noether procedure to the general N = 1 supersymmetric
nonlinear sigma-model and show that it naturally leads to the so-called
S-multiplet, revitalized in arXiv:1002.2228.
| [
{
"created": "Wed, 11 Aug 2010 10:11:33 GMT",
"version": "v1"
}
] | 2011-03-03 | [
[
"Kuzenko",
"Sergei M.",
""
]
] | Consistent supercurrent multiplets are naturally associated with linearized off-shell supergravity models. In arXiv:1002.4932 we presented the hierarchy of such supercurrents which correspond to all the models for linearized 4D N = 1 supergravity classified a few years ago. Here we analyze the correspondence between the most general supercurrent given in arXiv:1002.4932 and the one obtained eight years ago in hep-th/0110131 using the superfield Noether procedure. We apply the Noether procedure to the general N = 1 supersymmetric nonlinear sigma-model and show that it naturally leads to the so-called S-multiplet, revitalized in arXiv:1002.2228. |
1003.6120 | Till Bargheer | Till Bargheer, Florian Loebbert, Carlo Meneghelli | Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal
Chern-Simons Theory | 50 pages. v2, v3: References added, minor corrections | Phys.Rev.D82:045016,2010 | 10.1103/PhysRevD.82.045016 | AEI-2010-049 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Constraints of the osp(6|4) symmetry on tree-level scattering amplitudes in
N=6 superconformal Chern-Simons theory are derived. Supplemented by Feynman
diagram calculations, solutions to these constraints, namely the four- and
six-point superamplitudes, are presented and shown to be invariant under
Yangian symmetry. This introduces integrability into the amplitude sector of
the theory.
| [
{
"created": "Wed, 31 Mar 2010 19:14:38 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 2010 11:54:34 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jul 2010 13:30:33 GMT",
"version": "v3"
}
] | 2015-03-13 | [
[
"Bargheer",
"Till",
""
],
[
"Loebbert",
"Florian",
""
],
[
"Meneghelli",
"Carlo",
""
]
] | Constraints of the osp(6|4) symmetry on tree-level scattering amplitudes in N=6 superconformal Chern-Simons theory are derived. Supplemented by Feynman diagram calculations, solutions to these constraints, namely the four- and six-point superamplitudes, are presented and shown to be invariant under Yangian symmetry. This introduces integrability into the amplitude sector of the theory. |
1308.3199 | Ali Chamseddine | Ali H.Chamseddine, Viatcheslav Mukhanov | Who Ordered the Anti-de Sitter Tangent Group? | 6 pages | JHEP 1311 (2013) 095 | 10.1007/JHEP11(2013)095 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | General relativity can be unambiguously formulated with Lorentz, de Sitter
and anti-de Sitter tangent groups, which determine the fermionic
representations. We show that besides of the Lorentz group only anti-de Sitter
tangent group is consistent with all physical requirements.
| [
{
"created": "Wed, 14 Aug 2013 18:25:06 GMT",
"version": "v1"
}
] | 2013-12-02 | [
[
"Chamseddine",
"Ali H.",
""
],
[
"Mukhanov",
"Viatcheslav",
""
]
] | General relativity can be unambiguously formulated with Lorentz, de Sitter and anti-de Sitter tangent groups, which determine the fermionic representations. We show that besides of the Lorentz group only anti-de Sitter tangent group is consistent with all physical requirements. |
2309.16766 | Jonathan Sorce | Jonathan Sorce | An intuitive construction of modular flow | 38 pages; 9 figures; 9 pages in appendices; v2 corrects some typos,
adds some comments about the GNS construction, and is accepted to JHEP | JHEP 2023, 79 (2023) | 10.1007/JHEP12(2023)079 | MIT-CTP/5622 | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The theory of modular flow has proved extremely useful for applying
thermodynamic reasoning to out-of-equilibrium states in quantum field theory.
However, the standard proofs of the fundamental theorems of modular flow use
machinery from Fourier analysis on Banach spaces, and as such are not
especially transparent to an audience of physicists. In this article, I present
a construction of modular flow that differs from existing treatments. The main
pedagogical contribution is that I start with thermal physics via the KMS
condition, and derive the modular operator as the only operator that could
generate a thermal time-evolution map, rather than starting with the modular
operator as the fundamental object of the theory. The main technical
contribution is a new proof of the fundamental theorem stating that modular
flow is a symmetry. The new proof circumvents the delicate issues of Fourier
analysis that appear in previous treatments, but is still mathematically
rigorous.
| [
{
"created": "Thu, 28 Sep 2023 18:02:18 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Dec 2023 16:39:28 GMT",
"version": "v2"
}
] | 2024-02-07 | [
[
"Sorce",
"Jonathan",
""
]
] | The theory of modular flow has proved extremely useful for applying thermodynamic reasoning to out-of-equilibrium states in quantum field theory. However, the standard proofs of the fundamental theorems of modular flow use machinery from Fourier analysis on Banach spaces, and as such are not especially transparent to an audience of physicists. In this article, I present a construction of modular flow that differs from existing treatments. The main pedagogical contribution is that I start with thermal physics via the KMS condition, and derive the modular operator as the only operator that could generate a thermal time-evolution map, rather than starting with the modular operator as the fundamental object of the theory. The main technical contribution is a new proof of the fundamental theorem stating that modular flow is a symmetry. The new proof circumvents the delicate issues of Fourier analysis that appear in previous treatments, but is still mathematically rigorous. |
hep-th/0008176 | Federica Vian | A. Bassetto, L. Griguolo and F. Vian | Multiple vacua in two-dimensional Yang-Mills theory | 4 pages, elsart.sty, to appear in the proceedings of `Light-Cone
Meeting on Non-Perturbative QCD and Hadron Phenomenology', Heidelberg, June
2000 | Nucl.Phys.Proc.Suppl. 90 (2000) 61-63 | 10.1016/S0920-5632(00)00874-4 | null | hep-th | null | Two-dimensional SU(N) Yang-Mills theory is endowed with a non-trivial vacuum
structure (k-sectors). The presence of k-sectors modifies the energy spectrum
of the theory and its instanton content, the (Euclidean) space-time being
compactified on a sphere. For the exact solution, in the limit in which the
sphere is decompactified, a k-sector can be mimicked by the presence of
k-fundamental charges at infinity, according to a Witten's suggestion. However,
this property neither holds before decompactification nor for the genuine
perturbative solution which corresponds to the zero-instanton contribution on
the sphere.
| [
{
"created": "Tue, 22 Aug 2000 16:59:14 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bassetto",
"A.",
""
],
[
"Griguolo",
"L.",
""
],
[
"Vian",
"F.",
""
]
] | Two-dimensional SU(N) Yang-Mills theory is endowed with a non-trivial vacuum structure (k-sectors). The presence of k-sectors modifies the energy spectrum of the theory and its instanton content, the (Euclidean) space-time being compactified on a sphere. For the exact solution, in the limit in which the sphere is decompactified, a k-sector can be mimicked by the presence of k-fundamental charges at infinity, according to a Witten's suggestion. However, this property neither holds before decompactification nor for the genuine perturbative solution which corresponds to the zero-instanton contribution on the sphere. |
hep-th/0404070 | Nami Fux Svaiter | N. F. Svaiter | The Strong-Coupling Expansion and the Ultra-local Approximation in Field
Theory | 57 pages, LaTex | Physica A345:517-537,2005 | 10.1016/j.physa.2004.06.164 | CBPF-NF-014/03 | hep-th | null | We discuss the strong-coupling expansion in Euclidean field theory. In a
formal representation for the Schwinger functional, we treat the off-diagonal
terms of the Gaussian factor as a perturbation about the remaining terms of the
functional integral. We first study the strong-coupling expansion in the \phi^4
theory and also quantum electrodynamics. Assuming the ultra-local
approximation, we examine the analytic structure of the zero-dimensional
generating functions in the complex coupling constants plane. Second, we
discuss the ultra-local generating functional in two idealized field theory
models. To control the divergences of the strong-coupling perturbative
expansion two different steps are used. First, we introduce a lattice structure
to give meaning to the ultra-local generating functional. Using an analytic
regularization procedure we discuss briefly how it is possible to obtain a
renormalized Schwinger functional associated with these scalar models, going
beyond the ultra-local approximation. Using the strong-coupling perturbative
expansion we show how it is possible to compute the renormalized vacuum energy
of a self-interacting scalar field, going beyond the one-loop level.
| [
{
"created": "Thu, 8 Apr 2004 16:40:09 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Svaiter",
"N. F.",
""
]
] | We discuss the strong-coupling expansion in Euclidean field theory. In a formal representation for the Schwinger functional, we treat the off-diagonal terms of the Gaussian factor as a perturbation about the remaining terms of the functional integral. We first study the strong-coupling expansion in the \phi^4 theory and also quantum electrodynamics. Assuming the ultra-local approximation, we examine the analytic structure of the zero-dimensional generating functions in the complex coupling constants plane. Second, we discuss the ultra-local generating functional in two idealized field theory models. To control the divergences of the strong-coupling perturbative expansion two different steps are used. First, we introduce a lattice structure to give meaning to the ultra-local generating functional. Using an analytic regularization procedure we discuss briefly how it is possible to obtain a renormalized Schwinger functional associated with these scalar models, going beyond the ultra-local approximation. Using the strong-coupling perturbative expansion we show how it is possible to compute the renormalized vacuum energy of a self-interacting scalar field, going beyond the one-loop level. |
hep-th/9301036 | Mario Bergeron | Mario Bergeron, David Eliezer and Gordon Semenoff | Canonical Chern-Simons Theory and the Braid Group on a Riemann Surface | 12 pages, Latex | Phys.Lett.B311:137-146,1993 | 10.1016/0370-2693(93)90546-T | null | hep-th | null | We find an explicit solution of the Schr\"odinger equation for a Chern-Simons
theory coupled to charged particles on a Riemann surface, when the coefficient
of the Chern-Simons term is a rational number (rather than an integer) and
where the total charge is zero. We find that the wave functions carry a
projective representation of the group of large gauge transformations. We also
examine the behavior of the wave function under braiding operations which
interchange particle positions. We find that the representation of both the
braiding operations and large gauge transformations involve unitary matrices
which mix the components of the wave function. The set of wave functions are
expressed in terms of appropriate Jacobi theta functions. The matrices form a
finite dimensional representation of a particular (well known to
mathematicians) version of the braid group on the Riemann surface. We find a
constraint which relates the charges of the particles, $q$, the coefficient of
the Chern-Simons term, $k$ and the genus of the manifold, $g$: $q^2(g-1)/k$
must be an integer. We discuss a duality between large gauge transformations
and braiding operations.
| [
{
"created": "Mon, 11 Jan 1993 22:52:00 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Bergeron",
"Mario",
""
],
[
"Eliezer",
"David",
""
],
[
"Semenoff",
"Gordon",
""
]
] | We find an explicit solution of the Schr\"odinger equation for a Chern-Simons theory coupled to charged particles on a Riemann surface, when the coefficient of the Chern-Simons term is a rational number (rather than an integer) and where the total charge is zero. We find that the wave functions carry a projective representation of the group of large gauge transformations. We also examine the behavior of the wave function under braiding operations which interchange particle positions. We find that the representation of both the braiding operations and large gauge transformations involve unitary matrices which mix the components of the wave function. The set of wave functions are expressed in terms of appropriate Jacobi theta functions. The matrices form a finite dimensional representation of a particular (well known to mathematicians) version of the braid group on the Riemann surface. We find a constraint which relates the charges of the particles, $q$, the coefficient of the Chern-Simons term, $k$ and the genus of the manifold, $g$: $q^2(g-1)/k$ must be an integer. We discuss a duality between large gauge transformations and braiding operations. |
hep-th/9201047 | Dieter L\"ust | Dieter L\"ust and Carlos Mu\~noz | Duality-Invariant Gaugino Condensation and One-Loop Corrected Kahler
Potentials in String Theory | 18 pages | Phys.Lett.B279:272-280,1992 | 10.1016/0370-2693(92)90392-H | null | hep-th | null | The duality-invariant gaugino condensation with or without massive matter
fields is re-analysed, taking into account the dependence of the string
threshold corrections on the moduli fields and recent results concerning
one-loop corrected K\"ahler potentials. The scalar potential of the theory for
a generic superpotential is also calculated.
| [
{
"created": "Thu, 23 Jan 1992 15:39:27 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Lüst",
"Dieter",
""
],
[
"Muñoz",
"Carlos",
""
]
] | The duality-invariant gaugino condensation with or without massive matter fields is re-analysed, taking into account the dependence of the string threshold corrections on the moduli fields and recent results concerning one-loop corrected K\"ahler potentials. The scalar potential of the theory for a generic superpotential is also calculated. |
2107.11632 | Dibakar Roychowdhury | Hemant Rathi, Dibakar Roychowdhury | Holographic JT gravity with quartic couplings | Added refs, Version Accepted in JHEP | JHEP 10 (2021) 209 | 10.1007/JHEP10(2021)209 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the most general theory of 2D Einstein-dilaton gravity coupled
with $U(1)$ gauge fields that contains all the 2-derivative and the
4-derivative interactions allowed by the diffeomorphism invariance. We
renormalise the 2D action and obtain the vacuum solution as well as the black
hole solution. The vacuum solution in the UV is dominated by Lifshitz$_2$ with
dynamical exponent ($z=\frac{7}{3}$) while on the other hand, the spacetime
curvature diverges as we move towards the deep IR limit. We calculate the
holographic stress tensor and the central charge for the boundary theory. Our
analysis shows that the central charge goes as the inverse power of the
coupling associated to 4-derivative interactions. We also compute the Wald
entropy for 2D black holes and interpret its near horizon divergence in terms
of the density of states. We compare the Wald entropy with the Cardy formula
and obtain the eigen value of Virasoro operator ($L_0$) for our model. Finally,
we explore the near horizon structure of 2D black holes and calculate the
central charge corresponding to the CFT near horizon. We further show that the
near horizon CFT may be recast as a 2D Liouville theory with higher derivative
corrections. We study the Weyl invariance of this generalised Liouville theory
and identify the Weyl anomaly associated to it. We also comment on the
classical vacuum structure of the theory.
| [
{
"created": "Sat, 24 Jul 2021 15:20:30 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Oct 2021 10:11:50 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"Rathi",
"Hemant",
""
],
[
"Roychowdhury",
"Dibakar",
""
]
] | We construct the most general theory of 2D Einstein-dilaton gravity coupled with $U(1)$ gauge fields that contains all the 2-derivative and the 4-derivative interactions allowed by the diffeomorphism invariance. We renormalise the 2D action and obtain the vacuum solution as well as the black hole solution. The vacuum solution in the UV is dominated by Lifshitz$_2$ with dynamical exponent ($z=\frac{7}{3}$) while on the other hand, the spacetime curvature diverges as we move towards the deep IR limit. We calculate the holographic stress tensor and the central charge for the boundary theory. Our analysis shows that the central charge goes as the inverse power of the coupling associated to 4-derivative interactions. We also compute the Wald entropy for 2D black holes and interpret its near horizon divergence in terms of the density of states. We compare the Wald entropy with the Cardy formula and obtain the eigen value of Virasoro operator ($L_0$) for our model. Finally, we explore the near horizon structure of 2D black holes and calculate the central charge corresponding to the CFT near horizon. We further show that the near horizon CFT may be recast as a 2D Liouville theory with higher derivative corrections. We study the Weyl invariance of this generalised Liouville theory and identify the Weyl anomaly associated to it. We also comment on the classical vacuum structure of the theory. |
hep-th/0502057 | Francisco A. Brito | F.A. Brito, F.F. Cruz and J.F.N. Oliveira | Accelerating universes driven by bulk particles | To appear in Phys. Rev. D, 16 pages, 3 eps figures, minor changes and
references added | Phys.Rev. D71 (2005) 083516 | 10.1103/PhysRevD.71.083516 | null | hep-th astro-ph cond-mat.soft | null | We consider our universe as a 3d domain wall embedded in a 5d dimensional
Minkowski space-time. We address the problem of inflation and late time
acceleration driven by bulk particles colliding with the 3d domain wall. The
expansion of our universe is mainly related to these bulk particles. Since our
universe tends to be permeated by a large number of isolated structures, as
temperature diminishes with the expansion, we model our universe with a 3d
domain wall with increasing internal structures. These structures could be
unstable 2d domain walls evolving to fermi-balls which are candidates to cold
dark matter. The momentum transfer of bulk particles colliding with the 3d
domain wall is related to the reflection coefficient. We show a nontrivial
dependence of the reflection coefficient with the number of internal dark
matter structures inside the 3d domain wall. As the population of such
structures increases the velocity of the domain wall expansion also increases.
The expansion is exponential at early times and polynomial at late times. We
connect this picture with string/M-theory by considering BPS 3d domain walls
with structures which can appear through the bosonic sector of a
five-dimensional supergravity theory.
| [
{
"created": "Fri, 4 Feb 2005 19:15:34 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Mar 2005 17:31:13 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Apr 2005 20:41:53 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Brito",
"F. A.",
""
],
[
"Cruz",
"F. F.",
""
],
[
"Oliveira",
"J. F. N.",
""
]
] | We consider our universe as a 3d domain wall embedded in a 5d dimensional Minkowski space-time. We address the problem of inflation and late time acceleration driven by bulk particles colliding with the 3d domain wall. The expansion of our universe is mainly related to these bulk particles. Since our universe tends to be permeated by a large number of isolated structures, as temperature diminishes with the expansion, we model our universe with a 3d domain wall with increasing internal structures. These structures could be unstable 2d domain walls evolving to fermi-balls which are candidates to cold dark matter. The momentum transfer of bulk particles colliding with the 3d domain wall is related to the reflection coefficient. We show a nontrivial dependence of the reflection coefficient with the number of internal dark matter structures inside the 3d domain wall. As the population of such structures increases the velocity of the domain wall expansion also increases. The expansion is exponential at early times and polynomial at late times. We connect this picture with string/M-theory by considering BPS 3d domain walls with structures which can appear through the bosonic sector of a five-dimensional supergravity theory. |
hep-th/9711055 | Dmitri Sorokin | Igor Bandos, Nathan Berkovits and Dmitri Sorokin | Duality-Symmetric Eleven-Dimensional Supergravity and its Coupling to
M-Branes | Corrected a supersymmetry transformation, replaced a statement about
reference 12, included a paragraph on quantization difficulties, and added
references and acknowledgements | Nucl.Phys. B522 (1998) 214-233 | 10.1016/S0550-3213(98)00102-3 | IFT-P.070/97 | hep-th | null | The standard eleven-dimensional supergravity action depends on a three-form
gauge field and does not allow direct coupling to five-branes. Using previously
developed methods, we construct a covariant eleven-dimensional supergravity
action depending on a three-form and six-form gauge field in a
duality-symmetric manner. This action is coupled to both the M-theory two-brane
and five-brane, and corresponding equations of motion are obtained. Consistent
coupling relates D=11 duality properties with self-duality properties of the
M-5-brane. From this duality-symmetric formulation, one can derive an action
describing coupling of the M-branes to standard D=11 supergravity.
| [
{
"created": "Mon, 10 Nov 1997 19:58:02 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Nov 1997 12:43:37 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Bandos",
"Igor",
""
],
[
"Berkovits",
"Nathan",
""
],
[
"Sorokin",
"Dmitri",
""
]
] | The standard eleven-dimensional supergravity action depends on a three-form gauge field and does not allow direct coupling to five-branes. Using previously developed methods, we construct a covariant eleven-dimensional supergravity action depending on a three-form and six-form gauge field in a duality-symmetric manner. This action is coupled to both the M-theory two-brane and five-brane, and corresponding equations of motion are obtained. Consistent coupling relates D=11 duality properties with self-duality properties of the M-5-brane. From this duality-symmetric formulation, one can derive an action describing coupling of the M-branes to standard D=11 supergravity. |
hep-th/9204040 | null | S. Ferrara, P. Fr\`e, P. Soriani | On the Moduli Space of the $T^6/Z_3$ Orbifold and Its Modular Group | 15 pages | Class.Quant.Grav.9:1649-1662,1992 | 10.1088/0264-9381/9/7/002 | null | hep-th | null | We describe the duality group $\Gamma=SU(3,3,Z)$ for the Narain lattice of
the $T^6/Z_3$ orbifold and its action on the corresponding moduli space. A
symplectic embedding of the momenta and winding numbers allows us to connect
the orbifold lattice to the special geometry of the moduli space. As an
application, a formal expression for an automorphic function, which is a
candidate for a non--perturbative superpotential, is given.
| [
{
"created": "Fri, 10 Apr 1992 14:53:17 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Ferrara",
"S.",
""
],
[
"Frè",
"P.",
""
],
[
"Soriani",
"P.",
""
]
] | We describe the duality group $\Gamma=SU(3,3,Z)$ for the Narain lattice of the $T^6/Z_3$ orbifold and its action on the corresponding moduli space. A symplectic embedding of the momenta and winding numbers allows us to connect the orbifold lattice to the special geometry of the moduli space. As an application, a formal expression for an automorphic function, which is a candidate for a non--perturbative superpotential, is given. |
1202.5135 | Franco Ferrari | Franco Ferrari and Marcin Piatek | On a singular Fredholm-type integral equation arising in N=2 super
Yang-Mills theories | 16 pages, LaTeX + RevTex 4, no figures, final version accepted by
Phys. Lett. B | null | 10.1016/j.physletb.2012.11.069 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we study the Nekrasov-Shatashvili limit of the Nekrasov
instanton partition function of Yang-Mills field theories with N=2
supersymmetry and gauge group SU(n). The theories are coupled with fundamental
matter. The equation that determines the density of eigenvalues at the leading
order in the saddle-point approximation is exactly solved. The dominating
contribution to the instanton free energy is computed. The requirement that
this energy is finite imposes quantization conditions on the parameters of the
theory that are in agreement with analogous conditions that have been derived
in previous works. Using methods borrowed from the theory of matrix models, a
field theoretical expression of the full instanton partition function is
derived. It is checked that in the Nekrasov-Shatashvili (thermodynamic) limit
the action of the field theory obtained in this way reproduces exactly the
equation of motion used in the saddle-point calculations.
| [
{
"created": "Thu, 23 Feb 2012 09:43:04 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Feb 2012 18:34:15 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Jun 2012 20:15:16 GMT",
"version": "v3"
},
{
"created": "Sun, 30 Dec 2012 22:13:17 GMT",
"version": "v4"
}
] | 2015-06-04 | [
[
"Ferrari",
"Franco",
""
],
[
"Piatek",
"Marcin",
""
]
] | In this work we study the Nekrasov-Shatashvili limit of the Nekrasov instanton partition function of Yang-Mills field theories with N=2 supersymmetry and gauge group SU(n). The theories are coupled with fundamental matter. The equation that determines the density of eigenvalues at the leading order in the saddle-point approximation is exactly solved. The dominating contribution to the instanton free energy is computed. The requirement that this energy is finite imposes quantization conditions on the parameters of the theory that are in agreement with analogous conditions that have been derived in previous works. Using methods borrowed from the theory of matrix models, a field theoretical expression of the full instanton partition function is derived. It is checked that in the Nekrasov-Shatashvili (thermodynamic) limit the action of the field theory obtained in this way reproduces exactly the equation of motion used in the saddle-point calculations. |
hep-th/9902203 | Stepanyantz | K.Stepanyantz | The structure of the exact effective action and the quark confinement in
MSSM QCD | Final version to appear in Sov.J.Nucl.Phys. Some insignificant errors
and misprints are corrected | null | 10.1134/1.855721 | null | hep-th hep-ph nucl-th | null | An expression for the exact (nonperturbative) effective action of $N$=1
supersymmetric gauge theories is proposed, supposing, that all particles except
for the gauge bosons are massive. Analysis of its form shows, that instanton
effects in the supersymmetric theories can lead to the quark confinement. The
typical scale of confinement in MSSM QCD, calculated from the first principles,
is in agreement with the experimental data. The proposed explanation is quite
different from the dual Higgs mechanism.
| [
{
"created": "Fri, 26 Feb 1999 11:29:17 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jul 1999 11:19:57 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Stepanyantz",
"K.",
""
]
] | An expression for the exact (nonperturbative) effective action of $N$=1 supersymmetric gauge theories is proposed, supposing, that all particles except for the gauge bosons are massive. Analysis of its form shows, that instanton effects in the supersymmetric theories can lead to the quark confinement. The typical scale of confinement in MSSM QCD, calculated from the first principles, is in agreement with the experimental data. The proposed explanation is quite different from the dual Higgs mechanism. |
hep-th/9403003 | Montpetit Andre | P. Winternitz and G. Rideau | Spherical Functions for the Quantum Group su_q(2) | 8 pages | null | null | CRM-1932 | hep-th math.QA | null | The representation theory of the quantum group su$_q(2)$ is used to introduce
$q$-analogues of the Wigner rotation matrices, spherical functions, and
Legendre polynomials. The method amounts to an extension of variable separation
from Laplace equations to certain differential-dilation equations.
| [
{
"created": "Tue, 1 Mar 1994 20:46:40 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Winternitz",
"P.",
""
],
[
"Rideau",
"G.",
""
]
] | The representation theory of the quantum group su$_q(2)$ is used to introduce $q$-analogues of the Wigner rotation matrices, spherical functions, and Legendre polynomials. The method amounts to an extension of variable separation from Laplace equations to certain differential-dilation equations. |
2403.00906 | Bo Wang | Bo Wang | Positivity of the Hypergeometric Coon Amplitude | 23 pages, 4 figures | null | 10.1007/JHEP04(2024)143 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We utilize a novel method for the partial-wave unitarity recently suggested
in [1] to analyse the hypergeometric Coon amplitude. In this approach we use a
new type of harmonic numbers as a basis. Owing to the properties of the
harmonic numbers this method bypasses lots of difficulties and can be used to
derive a clear and unified form for the partial-wave coefficients. This new
approach further streamlines the partial-wave unitarity analysis. As an
instance, we re-derive the unitarity bounds from Regge trajectory analysis and
find the new critical condition of the hypergeometric Coon amplitude. Our new
method also benefits the discussion on the various limits of this amplitude.
Specifically, we demonstrate the manifest positivity of super string below
$d\leq10$ from our new perspective.
| [
{
"created": "Fri, 1 Mar 2024 19:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Mar 2024 06:32:44 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Mar 2024 15:22:00 GMT",
"version": "v3"
},
{
"created": "Sun, 28 Apr 2024 06:31:11 GMT",
"version": "v4"
}
] | 2024-04-30 | [
[
"Wang",
"Bo",
""
]
] | We utilize a novel method for the partial-wave unitarity recently suggested in [1] to analyse the hypergeometric Coon amplitude. In this approach we use a new type of harmonic numbers as a basis. Owing to the properties of the harmonic numbers this method bypasses lots of difficulties and can be used to derive a clear and unified form for the partial-wave coefficients. This new approach further streamlines the partial-wave unitarity analysis. As an instance, we re-derive the unitarity bounds from Regge trajectory analysis and find the new critical condition of the hypergeometric Coon amplitude. Our new method also benefits the discussion on the various limits of this amplitude. Specifically, we demonstrate the manifest positivity of super string below $d\leq10$ from our new perspective. |
hep-th/0702059 | Kallosh Renata | Renata Kallosh | On Inflation in String Theory | 38 pages, 8 figures. Based on an invited talk at "Inflation + 25",
22nd IAP Colloquim, Paris (June 2006). To be published in the Proceedings
(Springer Lecture Notes, 2007) | Lect.Notes Phys.738:119-156,2008 | 10.1007/978-3-540-74353-8_4 | null | hep-th astro-ph gr-qc hep-ph | null | In this talk we describe recent progress in construction of inflationary
models in the context of string theory with flux compactification and moduli
stabilization. We also discuss a possibility to test string theory by
cosmological observations.
| [
{
"created": "Thu, 8 Feb 2007 19:21:09 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Apr 2007 21:39:02 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Kallosh",
"Renata",
""
]
] | In this talk we describe recent progress in construction of inflationary models in the context of string theory with flux compactification and moduli stabilization. We also discuss a possibility to test string theory by cosmological observations. |
hep-th/0511194 | Yannick Meurice | J. J. Godina, L. Li, Y. Meurice and M. B. Oktay | High-accuracy critical exponents of O(N) hierarchical sigma models | 4 pages, 2 Figs., uses revtex | Phys.Rev. D73 (2006) 047701 | 10.1063/1.2359255 | null | hep-th cond-mat.stat-mech hep-lat | null | We perform high-accuracy calculations of the critical exponent gamma and its
subleading exponent for the 3D O(N) Dyson's hierarchical model, for N up to 20.
We calculate the critical temperatures for the nonlinear sigma model measure.
We discuss the possibility of extracting the first coefficients of the 1/N
expansion from our numerical data. We show that the leading and subleading
exponents agreewith Polchinski equation and the equivalent Litim equation, in
the local potential approximation, with at least 4 significant digits.
| [
{
"created": "Sat, 19 Nov 2005 03:36:22 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Godina",
"J. J.",
""
],
[
"Li",
"L.",
""
],
[
"Meurice",
"Y.",
""
],
[
"Oktay",
"M. B.",
""
]
] | We perform high-accuracy calculations of the critical exponent gamma and its subleading exponent for the 3D O(N) Dyson's hierarchical model, for N up to 20. We calculate the critical temperatures for the nonlinear sigma model measure. We discuss the possibility of extracting the first coefficients of the 1/N expansion from our numerical data. We show that the leading and subleading exponents agreewith Polchinski equation and the equivalent Litim equation, in the local potential approximation, with at least 4 significant digits. |
2109.13900 | Peng Zhao | Song He, Yihong Wang, Yong Zhang, Peng Zhao | Notes on Worldsheet-Like Variables for Cluster Configuration Spaces | null | SIGMA 19 (2023), 045, 24 pages | 10.3842/SIGMA.2023.045 | null | hep-th math.AG | http://creativecommons.org/licenses/by-sa/4.0/ | We continue the exploration of various appearances of cluster algebras in
scattering amplitudes and related topics in physics. The cluster configuration
spaces generalize the familiar moduli space ${\mathcal M}_{0,n}$ to finite-type
cluster algebras. We study worldsheet-like variables, which for classical types
have also appeared in the study of the symbol alphabet of Feynman integrals. We
provide a systematic derivation of these variables from $Y$-systems, which
allows us to express the dihedral coordinates in terms of them and to write the
corresponding cluster string integrals in compact forms. We mainly focus on the
$D_n$ type and show how to reach the boundaries of the configuration space, and
write the saddle-point equations in terms of these variables. Moreover, these
variables make it easier to study various topological properties of the space
using a finite-field method. We propose conjectures about quasi-polynomial
point count, dimensions of cohomology, and the number of saddle points for the
$D_n$ space up to $n=10$, which greatly extend earlier results.
| [
{
"created": "Tue, 28 Sep 2021 17:52:30 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 2023 07:09:17 GMT",
"version": "v2"
}
] | 2023-07-13 | [
[
"He",
"Song",
""
],
[
"Wang",
"Yihong",
""
],
[
"Zhang",
"Yong",
""
],
[
"Zhao",
"Peng",
""
]
] | We continue the exploration of various appearances of cluster algebras in scattering amplitudes and related topics in physics. The cluster configuration spaces generalize the familiar moduli space ${\mathcal M}_{0,n}$ to finite-type cluster algebras. We study worldsheet-like variables, which for classical types have also appeared in the study of the symbol alphabet of Feynman integrals. We provide a systematic derivation of these variables from $Y$-systems, which allows us to express the dihedral coordinates in terms of them and to write the corresponding cluster string integrals in compact forms. We mainly focus on the $D_n$ type and show how to reach the boundaries of the configuration space, and write the saddle-point equations in terms of these variables. Moreover, these variables make it easier to study various topological properties of the space using a finite-field method. We propose conjectures about quasi-polynomial point count, dimensions of cohomology, and the number of saddle points for the $D_n$ space up to $n=10$, which greatly extend earlier results. |
hep-th/9805137 | Dmitri Diakonov | Dmitri Diakonov (NORDITA & St.Petersburg NPI) | Trying to understand confinement in the Schroedinger picture | 21 pages, 1 figure. Lecture given at the 4th St.Petersburg Winter
School in Theoretical Physics, Feb. 22-28, 1998 | Surveys High Energ.Phys.14:29-56,1999 | 10.1080/01422419908228838 | null | hep-th | null | We study the gauge-invariant gaussian ansatz for the vacuum wave functional
and show that it potentially possesses many desirable features of the
Yang--Mills theory, like asymptotic freedom, mass generation through the
transmutation of dimensions and a linear potential between static quarks. We
point out that these (and other) features can be studied in a systematic way by
combining perturbative and 1/n expansions. Contrary to the euclidean approach,
confinement can be easily formulated and easily built in, if not derived, in
the variational Schroedinger approach.
| [
{
"created": "Thu, 21 May 1998 18:26:02 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Diakonov",
"Dmitri",
"",
"NORDITA & St.Petersburg NPI"
]
] | We study the gauge-invariant gaussian ansatz for the vacuum wave functional and show that it potentially possesses many desirable features of the Yang--Mills theory, like asymptotic freedom, mass generation through the transmutation of dimensions and a linear potential between static quarks. We point out that these (and other) features can be studied in a systematic way by combining perturbative and 1/n expansions. Contrary to the euclidean approach, confinement can be easily formulated and easily built in, if not derived, in the variational Schroedinger approach. |
1307.3200 | Gustavo Lucena G\'omez | Gustavo Lucena G\'omez | Higher-Spin Theory - Part II: enter dimension three | [v3: typos corrected, minor comments added] proceedings of the Eighth
Modave Summer School in Mathematical Physics, Belgium, 2012 - 39pp | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes aim at providing a pedagogical and pedestrian introduction to the
subject and assume no previous knowledge apart from that of general relativity.
We shall first recall the "frame" formulation of the later theory, then
particularize it to three dimensions, and will end those preliminaries by
reviewing the formulation of three-dimensional gravity as a gauge theory
governed by a Chern-Simons action. An analogous path is then followed for
higher-spin fields at the free level. Once the equivalent Chern-Simons action
is established thereof, it is then explained how one can formulate
three-dimensional higher-spin theories at the non-linear level by considering
higher-spin Lie algebras. We then move on to commenting on what has already
been done in the context of these theories and what interesting areas of
research are currently under investigation.
| [
{
"created": "Thu, 11 Jul 2013 17:58:41 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Nov 2014 10:12:26 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Feb 2016 15:45:51 GMT",
"version": "v3"
}
] | 2016-02-09 | [
[
"Gómez",
"Gustavo Lucena",
""
]
] | These notes aim at providing a pedagogical and pedestrian introduction to the subject and assume no previous knowledge apart from that of general relativity. We shall first recall the "frame" formulation of the later theory, then particularize it to three dimensions, and will end those preliminaries by reviewing the formulation of three-dimensional gravity as a gauge theory governed by a Chern-Simons action. An analogous path is then followed for higher-spin fields at the free level. Once the equivalent Chern-Simons action is established thereof, it is then explained how one can formulate three-dimensional higher-spin theories at the non-linear level by considering higher-spin Lie algebras. We then move on to commenting on what has already been done in the context of these theories and what interesting areas of research are currently under investigation. |
hep-th/9912039 | Izumi Ojima | Noboru Nakanishi and Izumi Ojima | Notes on Unfair Papers by Mebarki et al. on ``Quantum Nonsymmetric
Gravity'' | 3pages, LaTeX | null | null | null | hep-th | null | It is pointed out that the essential parts of some recent papers by Mebarki
{\it et al.} (hep-th/9911045, hep-th/9911046, hep-th/9911048, hep-th/9911049,
dated 6 Nov.1999) are taken from a book written by Nakanishi and Ojima,
published in 1990.
| [
{
"created": "Mon, 6 Dec 1999 12:50:36 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nakanishi",
"Noboru",
""
],
[
"Ojima",
"Izumi",
""
]
] | It is pointed out that the essential parts of some recent papers by Mebarki {\it et al.} (hep-th/9911045, hep-th/9911046, hep-th/9911048, hep-th/9911049, dated 6 Nov.1999) are taken from a book written by Nakanishi and Ojima, published in 1990. |
1112.0565 | Raphael Benichou | Raphael Benichou, John Estes | The fate of Newton's law in brane-world scenarios | 8 pages, 3 figures | null | 10.1016/j.physletb.2012.05.031 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider brane-world scenarios embedded into string theory. We find that
the D-brane backreaction induces a large increase in the open string's proper
length. Consequently the stringy nature of elementary particles can be detected
at distances much larger than the fundamental string scale. As an example, we
compute the gravitational potential between two open strings ending on
backreacting D3-branes in four-dimensional compactifications of type II string
theory. We find that the Newtonian potential receives a correction that goes
like 1/r but that is not proportional to the inertial masses of the open
strings, implying a violation of the equivalence principle in the effective
gravitational theory. This stringy correction is screened by thermal effects
when the distance between the strings is greater than the inverse temperature.
This suggests new experimental tests for many phenomenological models in type
II string theory.
| [
{
"created": "Fri, 2 Dec 2011 21:00:00 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Benichou",
"Raphael",
""
],
[
"Estes",
"John",
""
]
] | We consider brane-world scenarios embedded into string theory. We find that the D-brane backreaction induces a large increase in the open string's proper length. Consequently the stringy nature of elementary particles can be detected at distances much larger than the fundamental string scale. As an example, we compute the gravitational potential between two open strings ending on backreacting D3-branes in four-dimensional compactifications of type II string theory. We find that the Newtonian potential receives a correction that goes like 1/r but that is not proportional to the inertial masses of the open strings, implying a violation of the equivalence principle in the effective gravitational theory. This stringy correction is screened by thermal effects when the distance between the strings is greater than the inverse temperature. This suggests new experimental tests for many phenomenological models in type II string theory. |
0911.5494 | Rafael I. Nepomechie | Rafael I. Nepomechie | Nested algebraic Bethe ansatz for open GL(N) spin chains with projected
K-matrices | 27 pages; v2: minor change; v3: references added | null | 10.1016/j.nuclphysb.2010.01.006 | UMTG-265 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider an open spin chain model with GL(N) bulk symmetry that is broken
to GL(M) x GL(N-M) by the boundary, which is a generalization of a model
arising in string/gauge theory. We prove the integrability of this model by
constructing the corresponding commuting transfer matrix. This construction
uses operator-valued "projected" K-matrices. We solve this model for general
values of N and M using the nested algebraic Bethe ansatz approach, despite the
fact that the K-matrices are not diagonal. The key to obtaining this solution
is an identity based on a certain factorization property of the reduced
K-matrices into products of R-matrices. Numerical evidence suggests that the
solution is complete.
| [
{
"created": "Sun, 29 Nov 2009 15:26:32 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 2009 10:43:46 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jan 2010 17:50:22 GMT",
"version": "v3"
}
] | 2015-05-14 | [
[
"Nepomechie",
"Rafael I.",
""
]
] | We consider an open spin chain model with GL(N) bulk symmetry that is broken to GL(M) x GL(N-M) by the boundary, which is a generalization of a model arising in string/gauge theory. We prove the integrability of this model by constructing the corresponding commuting transfer matrix. This construction uses operator-valued "projected" K-matrices. We solve this model for general values of N and M using the nested algebraic Bethe ansatz approach, despite the fact that the K-matrices are not diagonal. The key to obtaining this solution is an identity based on a certain factorization property of the reduced K-matrices into products of R-matrices. Numerical evidence suggests that the solution is complete. |
1011.5629 | Andrei Mironov | A.Mironov, A.Morozov and Sh.Shakirov | Towards a proof of AGT conjecture by methods of matrix models | 25 pages | International Journal of Modern Phsyics A27 (2012) 1230001 | 10.1142/S0217751X12300013 | FIAN/TD-10/10; ITEP/TH-44/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A matrix model approach to proof of the AGT relation is briefly reviewed. It
starts from the substitution of conformal blocks by the Dotsenko-Fateev
beta-ensemble averages and Nekrasov functions by a double deformation of the
exponentiated Seiberg-Witten prepotential in beta \neq 1 and g_s \neq 0
directions. Establishing the equality of these two quantities is a typical
matrix model problem, and it presumably can be ascertained by investigation of
integrability properties and developing an associated Harer-Zagier technique
for evaluation of the exact resolvent.
| [
{
"created": "Thu, 25 Nov 2010 13:55:35 GMT",
"version": "v1"
}
] | 2012-01-05 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Shakirov",
"Sh.",
""
]
] | A matrix model approach to proof of the AGT relation is briefly reviewed. It starts from the substitution of conformal blocks by the Dotsenko-Fateev beta-ensemble averages and Nekrasov functions by a double deformation of the exponentiated Seiberg-Witten prepotential in beta \neq 1 and g_s \neq 0 directions. Establishing the equality of these two quantities is a typical matrix model problem, and it presumably can be ascertained by investigation of integrability properties and developing an associated Harer-Zagier technique for evaluation of the exact resolvent. |
hep-th/0212196 | Hsien-chung Kao | Hsien-Chung Kao and Jen-Chi Lee | Decoupling of Degenerate Positive-norm States in Witten's String Field
Theory | 18 pages, use Latex with revtex4 | Phys.Rev. D67 (2003) 086003 | 10.1103/PhysRevD.67.086003 | null | hep-th | null | We show that the degenerate positive-norm physical propagating fields of the
open bosonic string can be gauged to the higher rank fields at the same mass
level. As a result, their scattering amplitudes can be determined from those of
the higher spin fields. This phenomenon arises from the existence of two types
of zero-norm states with the same Young representations as those of the
degenerate positive-norm states in the old covariant first quantized (OCFQ)
spectrum. This is demonstrated by using the lowest order gauge transformation
of Witten's string field theory (WSFT) up to the fourth massive level
(spin-five), and is found to be consistent with conformal field theory
calculation based on the first quantized generalized sigma-model approach. In
particular, on-shell conditions of zero-norm states in OCFQ stringy gauge
transformation are found to correspond, in a one-to-one manner, to the
background ghost fields in off-shell gauge transformation of WSFT. The
implication of decoupling of scalar modes on Sen's conjectures was also briefly
discussed.
| [
{
"created": "Tue, 17 Dec 2002 10:29:40 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Dec 2002 07:02:05 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kao",
"Hsien-Chung",
""
],
[
"Lee",
"Jen-Chi",
""
]
] | We show that the degenerate positive-norm physical propagating fields of the open bosonic string can be gauged to the higher rank fields at the same mass level. As a result, their scattering amplitudes can be determined from those of the higher spin fields. This phenomenon arises from the existence of two types of zero-norm states with the same Young representations as those of the degenerate positive-norm states in the old covariant first quantized (OCFQ) spectrum. This is demonstrated by using the lowest order gauge transformation of Witten's string field theory (WSFT) up to the fourth massive level (spin-five), and is found to be consistent with conformal field theory calculation based on the first quantized generalized sigma-model approach. In particular, on-shell conditions of zero-norm states in OCFQ stringy gauge transformation are found to correspond, in a one-to-one manner, to the background ghost fields in off-shell gauge transformation of WSFT. The implication of decoupling of scalar modes on Sen's conjectures was also briefly discussed. |
hep-th/9306144 | Shogo Tanimura | Shogo Tanimura | Quantum Mechanics on Manifolds | 34 pages | null | null | null | hep-th | null | A definition of quantum mechanics on a manifold $ M $ is proposed and a
method to realize the definition is presented. This scheme is applicable to a
homogeneous space $ M = G / H $. The realization is a unitary representation of
the transformation group $ G $ on the space of vector bundle-valued functions.
When $ H \ne \{ e \} $, there exist a number of inequivalent realizations. As
examples, quantum mechanics on a sphere $ S^n $, a torus $ T^n $ and a
projective space $ \RP $ are studied. In any case, it is shown that there are
an infinite number of inequivalent realizations.
| [
{
"created": "Mon, 28 Jun 1993 04:48:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Tanimura",
"Shogo",
""
]
] | A definition of quantum mechanics on a manifold $ M $ is proposed and a method to realize the definition is presented. This scheme is applicable to a homogeneous space $ M = G / H $. The realization is a unitary representation of the transformation group $ G $ on the space of vector bundle-valued functions. When $ H \ne \{ e \} $, there exist a number of inequivalent realizations. As examples, quantum mechanics on a sphere $ S^n $, a torus $ T^n $ and a projective space $ \RP $ are studied. In any case, it is shown that there are an infinite number of inequivalent realizations. |
2408.04005 | Gero von Gersdorff | Igor Carneiro and Gero von Gersdorff | The Heat Kernel in Riemann Normal Coordinates and Multiloop Feynman
Graphs in Curved Spacetime | null | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a formalism for computing arbitrary multi-loop Feynman graphs in
curved spacetime using the heat kernel approach. To this end, we compute the
off-diagonal components of the heat kernel in Riemann normal coordinates up to
second order in the curvature.
| [
{
"created": "Wed, 7 Aug 2024 18:00:07 GMT",
"version": "v1"
}
] | 2024-08-09 | [
[
"Carneiro",
"Igor",
""
],
[
"von Gersdorff",
"Gero",
""
]
] | We present a formalism for computing arbitrary multi-loop Feynman graphs in curved spacetime using the heat kernel approach. To this end, we compute the off-diagonal components of the heat kernel in Riemann normal coordinates up to second order in the curvature. |
0704.0732 | T. Damour | Thibault Damour | Cosmological Singularities and a Conjectured Gravity/Coset
Correspondence | 12 pages, 1 diagram, contribution to ``String Theory and Fundamental
Interactions'' -- in celebration of Gabriele Veneziano's 65th birthday --
eds. M. Gasperini and J. Maharana, Springer-Verlag, Heidelberg, 2007 | Lect.NotesPhys.737:941-948,2008 | null | null | hep-th | null | We review the recently discovered connection between the
Belinsky-Khalatnikov-Lifshitz-like ``chaotic'' structure of generic
cosmological singularities in eleven-dimensional supergravity and the ``last''
hyperbolic Kac-Moody algebra E(10). This intriguing connection suggests the
existence of a hidden ``correspondence'' between supergravity (or even
M-theory) and null geodesic motion on the infinite-dimensional coset space
K(E(10)). If true, this gravity/coset correspondence would offer a new view of
the (quantum) fate of space (and matter) at cosmological singularities.
| [
{
"created": "Thu, 5 Apr 2007 14:25:27 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Damour",
"Thibault",
""
]
] | We review the recently discovered connection between the Belinsky-Khalatnikov-Lifshitz-like ``chaotic'' structure of generic cosmological singularities in eleven-dimensional supergravity and the ``last'' hyperbolic Kac-Moody algebra E(10). This intriguing connection suggests the existence of a hidden ``correspondence'' between supergravity (or even M-theory) and null geodesic motion on the infinite-dimensional coset space K(E(10)). If true, this gravity/coset correspondence would offer a new view of the (quantum) fate of space (and matter) at cosmological singularities. |
2407.02707 | Glenn Barnich | Ankit Aggarwal and Glenn Barnich | Modular properties of massive scalar partition functions | 35 pages Latex file | null | null | null | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | We compute the exact thermal partition functions of a massive scalar field on
flat spacetime backgrounds of the form $\mathbb R^{d-q}\times \mathbb T^{q+1}$
and show that they possess an ${\rm SL}(q+1,\mathbb Z)$ symmetry. Non-trivial
relations between equivalent expressions for the result are obtained by doing
the computation using functional, canonical and worldline methods. For $q=1$,
the results exhibit modular symmetry and may be expressed in terms of massive
Maass-Jacobi forms. In the complex case with chemical potential for ${\rm
U}(1)$ charge turned on, the usual discussion of relativistic Bose-Einstein
condensation is modified by the presence of the small dimensions.
| [
{
"created": "Tue, 2 Jul 2024 23:02:24 GMT",
"version": "v1"
}
] | 2024-07-04 | [
[
"Aggarwal",
"Ankit",
""
],
[
"Barnich",
"Glenn",
""
]
] | We compute the exact thermal partition functions of a massive scalar field on flat spacetime backgrounds of the form $\mathbb R^{d-q}\times \mathbb T^{q+1}$ and show that they possess an ${\rm SL}(q+1,\mathbb Z)$ symmetry. Non-trivial relations between equivalent expressions for the result are obtained by doing the computation using functional, canonical and worldline methods. For $q=1$, the results exhibit modular symmetry and may be expressed in terms of massive Maass-Jacobi forms. In the complex case with chemical potential for ${\rm U}(1)$ charge turned on, the usual discussion of relativistic Bose-Einstein condensation is modified by the presence of the small dimensions. |
hep-th/0010198 | Boris Kors | Ralph Blumenhagen, Lars Goerlich, Boris Kors and Dieter Lust (Humboldt
University, Berlin) | Magnetic Flux in Toroidal Type I Compactification | 8 pages, 3 figures, contribution to the proceedings of the Ninth
Marcel Grossmann Meeting, Rome 2000, and the RTN Network Conference, Berlin
2000 | Fortsch.Phys.49:591-598,2001 | null | HUB-EP-00/44 | hep-th | null | We discuss the compactification of type I strings on a torus with additional
background gauge flux on the D9-branes. The solutions to the cancellation of
the RR tadpoles display various phenomenologically attractive features:
supersymmetry breaking, chiral fermions and the opportunity to reduce the rank
of the gauge group as desired. We also point out the equivalence of the concept
of various different background fields and noncommutative deformations of the
geometry on the individual D9-branes by constructing the relevant boundary
states to describe such objects.
| [
{
"created": "Mon, 23 Oct 2000 12:49:15 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Blumenhagen",
"Ralph",
"",
"Humboldt\n University, Berlin"
],
[
"Goerlich",
"Lars",
"",
"Humboldt\n University, Berlin"
],
[
"Kors",
"Boris",
"",
"Humboldt\n University, Berlin"
],
[
"Lust",
"Dieter",
"",
"Humboldt\n University, Berlin"
]
] | We discuss the compactification of type I strings on a torus with additional background gauge flux on the D9-branes. The solutions to the cancellation of the RR tadpoles display various phenomenologically attractive features: supersymmetry breaking, chiral fermions and the opportunity to reduce the rank of the gauge group as desired. We also point out the equivalence of the concept of various different background fields and noncommutative deformations of the geometry on the individual D9-branes by constructing the relevant boundary states to describe such objects. |
2405.00149 | Vahid Taghiloo | H.Adami, M.M.Sheikh-Jabbari, V.Taghiloo | Gravitational Stress Tensor and Current at Null Infinity in Three
Dimensions | 10 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the framework that reveals the intrinsic conserved stress tensor
and current associated with the null infinity of a three-dimensional ($3d$)
asymptotically flat spacetime. These are, respectively, canonical conjugates of
degenerate metric and Ehresmann connection of the boundary Carrollian geometry.
Their conservation reproduces the Bondi-mass and angular momentum conservation
equations if the asymptotic boundary is endowed with a torsional affine
connection that we specify. Our analysis and results shed further light on the
$3d$ flat holography; the stress tensor and current give rise to an
asymptotically flat fluid/gravity correspondence. The requirement of a
well-defined $3d$ action principle yields Schwarzian action at null infinity
governing the dynamics induced by reparametrizations over the celestial circle,
in accord with the codimension $2$ holography of $3d$ flat spacetimes.
| [
{
"created": "Tue, 30 Apr 2024 18:54:03 GMT",
"version": "v1"
}
] | 2024-05-02 | [
[
"Adami",
"H.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Taghiloo",
"V.",
""
]
] | We develop the framework that reveals the intrinsic conserved stress tensor and current associated with the null infinity of a three-dimensional ($3d$) asymptotically flat spacetime. These are, respectively, canonical conjugates of degenerate metric and Ehresmann connection of the boundary Carrollian geometry. Their conservation reproduces the Bondi-mass and angular momentum conservation equations if the asymptotic boundary is endowed with a torsional affine connection that we specify. Our analysis and results shed further light on the $3d$ flat holography; the stress tensor and current give rise to an asymptotically flat fluid/gravity correspondence. The requirement of a well-defined $3d$ action principle yields Schwarzian action at null infinity governing the dynamics induced by reparametrizations over the celestial circle, in accord with the codimension $2$ holography of $3d$ flat spacetimes. |
hep-th/0303145 | John A. Dixon | John Dixon | Composite Operators, Supersymmetry Anomalies and Supersymmetry Breaking
in the Wess-Zumino Model | 130 pages, 6 diagrams, 56 tables | null | null | null | hep-th | null | The field equations of the auxiliary fields are nonlinear and free of
derivatives. Hence, it is argued, a Legendre transform to generate the 1PI
Generating Functionals is not correct for the auxiliary fields. A corrected
formulation of the BRS symmetry must be constructed by integrating the
auxiliary fields. This necessarily destroys manifest supersymmetry. It also
generates a new "Physical BRS-ZJ" cohomology problem. The resulting "Physical
BRS-ZJ cohomology" is then described. The cohomology contains a rich spectrum
of potential supersymmetry anomalies in certain composite operators that have
spinor indices. Some examples of these composite operators are set out
explicitly. The examples depend on certain Constraint Equations that arise from
simple Generating Functions. The Constraint Equations constrain the mass and
Yukawa coefficients of the theory. The potential supersymmetry anomalies have
calculable one-loop coefficients that depend on the solutions to the Constraint
Equations. If these coefficients are non-zero, the anomalies will then
necessarily break supersymmetry with a calculable pattern, probably with a zero
cosmological constant.
| [
{
"created": "Mon, 17 Mar 2003 19:31:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dixon",
"John",
""
]
] | The field equations of the auxiliary fields are nonlinear and free of derivatives. Hence, it is argued, a Legendre transform to generate the 1PI Generating Functionals is not correct for the auxiliary fields. A corrected formulation of the BRS symmetry must be constructed by integrating the auxiliary fields. This necessarily destroys manifest supersymmetry. It also generates a new "Physical BRS-ZJ" cohomology problem. The resulting "Physical BRS-ZJ cohomology" is then described. The cohomology contains a rich spectrum of potential supersymmetry anomalies in certain composite operators that have spinor indices. Some examples of these composite operators are set out explicitly. The examples depend on certain Constraint Equations that arise from simple Generating Functions. The Constraint Equations constrain the mass and Yukawa coefficients of the theory. The potential supersymmetry anomalies have calculable one-loop coefficients that depend on the solutions to the Constraint Equations. If these coefficients are non-zero, the anomalies will then necessarily break supersymmetry with a calculable pattern, probably with a zero cosmological constant. |
hep-th/0308026 | Christopher Pope | M. Cvetic, G.W. Gibbons and C.N. Pope | A String and M-theory Origin for the Salam-Sezgin Model | Latex, 18 pages; minor corrections | Nucl.Phys.B677:164-180,2004 | 10.1016/j.nuclphysb.2003.10.016 | DAMTP-2003-75, MIFP-03-18, UPR-1049-T | hep-th | null | An M/string-theory origin for the six-dimensional Salam-Sezgin chiral gauged
supergravity is obtained, by embedding it as a consistent Pauli-type reduction
of type I or heterotic supergravity on the non-compact hyperboloid ${\cal
H}^{2,2}$ times $S^1$. We can also obtain embeddings of larger, non-chiral,
gauged supergravities in six dimensions, whose consistent truncation yields the
Salam-Sezgin theory. The lift of the Salam-Sezgin (Minkowski)$_4\times S^2$
ground state to ten dimensions is asymptotic at large distances to the
near-horizon geometry of the NS5-brane.
| [
{
"created": "Mon, 4 Aug 2003 19:24:10 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Aug 2003 21:31:23 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Aug 2003 08:07:36 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Cvetic",
"M.",
""
],
[
"Gibbons",
"G. W.",
""
],
[
"Pope",
"C. N.",
""
]
] | An M/string-theory origin for the six-dimensional Salam-Sezgin chiral gauged supergravity is obtained, by embedding it as a consistent Pauli-type reduction of type I or heterotic supergravity on the non-compact hyperboloid ${\cal H}^{2,2}$ times $S^1$. We can also obtain embeddings of larger, non-chiral, gauged supergravities in six dimensions, whose consistent truncation yields the Salam-Sezgin theory. The lift of the Salam-Sezgin (Minkowski)$_4\times S^2$ ground state to ten dimensions is asymptotic at large distances to the near-horizon geometry of the NS5-brane. |
1009.1885 | Dominik Nickel | Christiana Athanasiou, Paul M. Chesler, Hong Liu, Dominik Nickel,
Krishna Rajagopal | Radiation of a circulating quark in strongly coupled N=4 super
Yang-Mills theory | 8 pages, 2 figures - Talk presented by D. Nickel at QCD@Work, June
20-23rd, 2010, Martina Franca, Italy | AIP Conf.Proc.1317:346-353,2011 | 10.1063/1.3536583 | MIT-CTP 4177, INT-PUB-10-042 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The energy density and angular distribution of power radiated by a quark
undergoing circular motion in strongly coupled ${\cal N}=4$ supersymmetric
Yang-Mills (SYM) theory is computed using gauge/gravity duality. The results
are qualitatively similar to that of synchrotron radiation produced by an
electron in circular motion in classical electrodynamics: At large velocities
the quark emits radiation in a narrow beam along its velocity vector with a
characteristic opening angle $\alpha \sim 1/\gamma$ and radial thickness
scaling like $\sim 1/\gamma^3$.
| [
{
"created": "Thu, 9 Sep 2010 20:48:57 GMT",
"version": "v1"
}
] | 2011-02-01 | [
[
"Athanasiou",
"Christiana",
""
],
[
"Chesler",
"Paul M.",
""
],
[
"Liu",
"Hong",
""
],
[
"Nickel",
"Dominik",
""
],
[
"Rajagopal",
"Krishna",
""
]
] | The energy density and angular distribution of power radiated by a quark undergoing circular motion in strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory is computed using gauge/gravity duality. The results are qualitatively similar to that of synchrotron radiation produced by an electron in circular motion in classical electrodynamics: At large velocities the quark emits radiation in a narrow beam along its velocity vector with a characteristic opening angle $\alpha \sim 1/\gamma$ and radial thickness scaling like $\sim 1/\gamma^3$. |
1502.06090 | Antonino Flachi | Antonino Flachi, Kenji Fukushima, Vincenzo Vitagliano | Geometrically induced magnetic catalysis and critical dimensions | 5 pages; minor changes | Phys. Rev. Lett. 114, 181601 (2015) | 10.1103/PhysRevLett.114.181601 | null | hep-th cond-mat.str-el gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the combined effect of magnetic fields and geometry in interacting
fermionic systems. At leading order in the heat-kernel expansion, the infrared
singularity (that in flat space leads to the magnetic catalysis) is regulated
by the chiral gap effect, and the catalysis is deactivated by the effect of the
scalar curvature. We discover that an infrared singularity is found in
higher-order terms that mix the magnetic field with curvature, and these lead
to a novel form of geometrically induced magnetic catalysis. The dynamical mass
squared is then modified not only due to the chiral gap effect by an amount
proportional to the curvature, but also by a magnetic shift $\propto (4-D)eB$,
where $D$ represents the number of space-time dimensions. We argue that $D=4$
is a critical dimension across which the behavior of the magnetic shift changes
qualitatively.
| [
{
"created": "Sat, 21 Feb 2015 09:42:45 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 2015 23:18:30 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Flachi",
"Antonino",
""
],
[
"Fukushima",
"Kenji",
""
],
[
"Vitagliano",
"Vincenzo",
""
]
] | We discuss the combined effect of magnetic fields and geometry in interacting fermionic systems. At leading order in the heat-kernel expansion, the infrared singularity (that in flat space leads to the magnetic catalysis) is regulated by the chiral gap effect, and the catalysis is deactivated by the effect of the scalar curvature. We discover that an infrared singularity is found in higher-order terms that mix the magnetic field with curvature, and these lead to a novel form of geometrically induced magnetic catalysis. The dynamical mass squared is then modified not only due to the chiral gap effect by an amount proportional to the curvature, but also by a magnetic shift $\propto (4-D)eB$, where $D$ represents the number of space-time dimensions. We argue that $D=4$ is a critical dimension across which the behavior of the magnetic shift changes qualitatively. |
hep-th/0303161 | Marco Bertola | M. Bertola, B. Eynard | Mixed Correlation Functions of the Two-Matrix Model | 16 pages | J.Phys.A36:7733-7750,2003 | 10.1088/0305-4470/36/28/304 | CRM-2961, Saclay T03-028 | hep-th cond-mat nlin.SI | null | We compute the correlation functions mixing the powers of two non-commuting
random matrices within the same trace. The angular part of the integration was
partially known in the literature: we pursue the calculation and carry out the
eigenvalue integration reducing the problem to the construction of the
associated biorthogonal polynomials. The generating function of these
correlations becomes then a determinant involving the recursion coefficients of
the biorthogonal polynomials.
| [
{
"created": "Tue, 18 Mar 2003 19:15:33 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bertola",
"M.",
""
],
[
"Eynard",
"B.",
""
]
] | We compute the correlation functions mixing the powers of two non-commuting random matrices within the same trace. The angular part of the integration was partially known in the literature: we pursue the calculation and carry out the eigenvalue integration reducing the problem to the construction of the associated biorthogonal polynomials. The generating function of these correlations becomes then a determinant involving the recursion coefficients of the biorthogonal polynomials. |
1205.4025 | Marco Caldarelli | Yannis Bardoux, Marco M. Caldarelli and Christos Charmousis | Conformally coupled scalar black holes admit a flat horizon due to
axionic charge | 21 pages, 4 figures | null | 10.1007/JHEP09(2012)008 | CPHT-RR023.0512; LPT-ORSAY 12-44 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Static, charged black holes in the presence of a negative cosmological
constant and with a planar horizon are found in four dimensions. The solutions
have scalar secondary hair. We claim that these constitute the planar version
of the Martinez-Troncoso-Zanelli black holes, only known up to now for a curved
event horizon in four dimensions. Their planar version is rendered possible due
to the presence of two, equal and homogeneously distributed, axionic charges
dressing the flat horizon. The solutions are presented in the conformal and
minimal frame and their basic properties and thermodynamics analysed.
Entertaining recent applications to holographic superconductors, we expose two
branches of solutions: the undressed axionic Reissner-Nordstrom-AdS black hole,
and the novel black hole carrying secondary hair. We show that there is a
critical temperature at which the (bald) axionic Reissner-Nordstrom-AdS black
hole undergoes a second order phase transition to the hairy black hole
spontaneously acquiring scalar hair.
| [
{
"created": "Thu, 17 May 2012 20:00:02 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Bardoux",
"Yannis",
""
],
[
"Caldarelli",
"Marco M.",
""
],
[
"Charmousis",
"Christos",
""
]
] | Static, charged black holes in the presence of a negative cosmological constant and with a planar horizon are found in four dimensions. The solutions have scalar secondary hair. We claim that these constitute the planar version of the Martinez-Troncoso-Zanelli black holes, only known up to now for a curved event horizon in four dimensions. Their planar version is rendered possible due to the presence of two, equal and homogeneously distributed, axionic charges dressing the flat horizon. The solutions are presented in the conformal and minimal frame and their basic properties and thermodynamics analysed. Entertaining recent applications to holographic superconductors, we expose two branches of solutions: the undressed axionic Reissner-Nordstrom-AdS black hole, and the novel black hole carrying secondary hair. We show that there is a critical temperature at which the (bald) axionic Reissner-Nordstrom-AdS black hole undergoes a second order phase transition to the hairy black hole spontaneously acquiring scalar hair. |
0908.3029 | Mary K. Gaillard | Mary K. Gaillard | T-duality and the weakly coupled heterotic string | 12 pages, plenary talk at SUSY09, to appear in the proceedings | AIP Conf.Proc.1200:215-225,2010 | 10.1063/1.3327560 | UCB-PTH-09/26 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | T-duality is a symmetry of the heterotic string to all orders in string
perturbation theory. This results in an effective four dimensional supergravity
theory with desirable features for phenomenology. T-duality, as well as,
generically, an anomalous U(1), is broken by quantum anomalies of the effective
field theory. The structure of the full anomaly is presented, and the
mechanisms for anomaly cancellation are described.
| [
{
"created": "Thu, 20 Aug 2009 22:27:32 GMT",
"version": "v1"
}
] | 2015-05-14 | [
[
"Gaillard",
"Mary K.",
""
]
] | T-duality is a symmetry of the heterotic string to all orders in string perturbation theory. This results in an effective four dimensional supergravity theory with desirable features for phenomenology. T-duality, as well as, generically, an anomalous U(1), is broken by quantum anomalies of the effective field theory. The structure of the full anomaly is presented, and the mechanisms for anomaly cancellation are described. |
hep-th/9711054 | Bogdan Morariu | Michael Graesser and Bogdan Morariu | A Non-renormalization Theorem for the Wilsonian Gauge Couplings in
Supersymmetric Theories | 10 pages, LaTeX; added references and clarified credits | Phys.Lett.B429:313-318,1998 | 10.1016/S0370-2693(98)00485-7 | LBNL-41006, UCB-PTH-97/54 | hep-th | null | We show that the holomorphic Wilsonian beta-function of a renormalizable
asymptotically free supersymmetric gauge theory with an arbitrary semi-simple
gauge group, matter content, and renormalizable superpotential is exhausted at
1-loop with no higher loops and no non-perturbative contributions. This is a
non-perturbative extension of the well known result of Shifman and Vainshtein.
| [
{
"created": "Fri, 7 Nov 1997 21:45:36 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Dec 1997 05:26:45 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Graesser",
"Michael",
""
],
[
"Morariu",
"Bogdan",
""
]
] | We show that the holomorphic Wilsonian beta-function of a renormalizable asymptotically free supersymmetric gauge theory with an arbitrary semi-simple gauge group, matter content, and renormalizable superpotential is exhausted at 1-loop with no higher loops and no non-perturbative contributions. This is a non-perturbative extension of the well known result of Shifman and Vainshtein. |
2405.07846 | Istvan Nandori | Istvan Gabor Marian, Andrea Trombettoni, Istvan Nandori | Time Evolution and Thermal Renormalization Group Flow in Cosmology | 8 pages, 2 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Time-evolution of the Universe as described by the Friedmann equation can be
coupled to equations of motion of matter fields. Quantum effects may be
incorporated to improve these classical equations of motion by the
renormalization group (RG) running of their couplings. Since temporal and
thermal evolutions are linked to each other, astrophysical and cosmological
treatements based on zero-temperature RG methods require the extension to
finite-temperatures. We propose and explore a modification of the usual
finite-temperature RG approach by relating the temperature parameter to the
running RG scale as $T \equiv k_T = \tau k$ (in natural units), where $k_T$ is
acting as a running cutoff for thermal fluctuations and the momentum $k$ can be
used for the quantum fluctuations. In this approach, the temperature of the
expanding Universe is related to the dimensionless quantity $\tau$ (and not to
$k_T$). We show that by this choice dimensionless RG flow equations have no
explicit $k$-dependence, as it is convenient. We also discuss how this modified
thermal RG is used to handle high-energy divergences of the RG running of the
cosmological constant and to "solve the triviality"of the $\phi^4$ model by a
thermal phase transition in terms of $\tau$ in $d=4$ Euclidean dimensions.
| [
{
"created": "Mon, 13 May 2024 15:34:27 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 2024 15:00:46 GMT",
"version": "v2"
}
] | 2024-07-08 | [
[
"Marian",
"Istvan Gabor",
""
],
[
"Trombettoni",
"Andrea",
""
],
[
"Nandori",
"Istvan",
""
]
] | Time-evolution of the Universe as described by the Friedmann equation can be coupled to equations of motion of matter fields. Quantum effects may be incorporated to improve these classical equations of motion by the renormalization group (RG) running of their couplings. Since temporal and thermal evolutions are linked to each other, astrophysical and cosmological treatements based on zero-temperature RG methods require the extension to finite-temperatures. We propose and explore a modification of the usual finite-temperature RG approach by relating the temperature parameter to the running RG scale as $T \equiv k_T = \tau k$ (in natural units), where $k_T$ is acting as a running cutoff for thermal fluctuations and the momentum $k$ can be used for the quantum fluctuations. In this approach, the temperature of the expanding Universe is related to the dimensionless quantity $\tau$ (and not to $k_T$). We show that by this choice dimensionless RG flow equations have no explicit $k$-dependence, as it is convenient. We also discuss how this modified thermal RG is used to handle high-energy divergences of the RG running of the cosmological constant and to "solve the triviality"of the $\phi^4$ model by a thermal phase transition in terms of $\tau$ in $d=4$ Euclidean dimensions. |
hep-th/9910011 | Christian Schubert | P.S. Howe, C. Schubert, E. Sokatchev, P.C. West | Explicit construction of nilpotent covariants in N=4 SYM | 20 pages, standard latex | Nucl.Phys. B571 (2000) 71-90 | 10.1016/S0550-3213(99)00768-3 | KCL-MTH-99-41, LAPTH-746/99 | hep-th | null | Some aspects of correlation functions in N=4 SYM are discussed. Using N=4
harmonic superspace we study two and three-point correlation functions which
are of contact type and argue that these contact terms will not affect the
non-renormalisation theorem for such correlators at non-coincident points. We
then present a perturbative calculation of a five-point function at two loops
in N=2 harmonic superspace and verify that it reproduces the derivative of the
previously found four-point function with respect to the coupling. The
calculation of this four-point function via the five-point function turns out
to be significantly simpler than the original direct calculation. This
calculation also provides an explicit construction of an N=2 component of an
N=4 five-point nilpotent covariant that violates U(1)_Y symmetry.
| [
{
"created": "Fri, 1 Oct 1999 16:50:03 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Howe",
"P. S.",
""
],
[
"Schubert",
"C.",
""
],
[
"Sokatchev",
"E.",
""
],
[
"West",
"P. C.",
""
]
] | Some aspects of correlation functions in N=4 SYM are discussed. Using N=4 harmonic superspace we study two and three-point correlation functions which are of contact type and argue that these contact terms will not affect the non-renormalisation theorem for such correlators at non-coincident points. We then present a perturbative calculation of a five-point function at two loops in N=2 harmonic superspace and verify that it reproduces the derivative of the previously found four-point function with respect to the coupling. The calculation of this four-point function via the five-point function turns out to be significantly simpler than the original direct calculation. This calculation also provides an explicit construction of an N=2 component of an N=4 five-point nilpotent covariant that violates U(1)_Y symmetry. |
1910.13342 | Andjelo Samsarov | Marija Dimitrijevi\'c \'Ciri\'c, Nikola Konjik, Andjelo Samsarov | Search for footprints of quantum spacetime in black hole QNM spectrum | 11 pages, 12 figures; based on talks the authors gave at Prague,
Belgrade and Corfu in 2019 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black hole (BH) perturbation is followed by a ringdown phase which is
dominated by quasinormal modes (QNM). These modes may provide key signature of
the gravitational waves. The presence of a deformed spacetime structure may
distort this signal. In order to account for such effects, we consider a toy
model consisting of a noncommutative charged scalar field propagating in a
realistic black hole background. We then analyse the corresponding field
dynamics by applying the methods of the Hopf algebra deformation by Drinfeld
twist. The latter framework is well suited for incorporating deformed
symmetries into a study of this kind. As a result, we obtain the BH QNM
spectrum that, besides containing the intrinsic information about a black hole
that is being analysed, also carry the information about the underlying
structure of spacetime.
| [
{
"created": "Tue, 29 Oct 2019 15:59:17 GMT",
"version": "v1"
}
] | 2019-10-30 | [
[
"Ćirić",
"Marija Dimitrijević",
""
],
[
"Konjik",
"Nikola",
""
],
[
"Samsarov",
"Andjelo",
""
]
] | Black hole (BH) perturbation is followed by a ringdown phase which is dominated by quasinormal modes (QNM). These modes may provide key signature of the gravitational waves. The presence of a deformed spacetime structure may distort this signal. In order to account for such effects, we consider a toy model consisting of a noncommutative charged scalar field propagating in a realistic black hole background. We then analyse the corresponding field dynamics by applying the methods of the Hopf algebra deformation by Drinfeld twist. The latter framework is well suited for incorporating deformed symmetries into a study of this kind. As a result, we obtain the BH QNM spectrum that, besides containing the intrinsic information about a black hole that is being analysed, also carry the information about the underlying structure of spacetime. |
hep-th/0608185 | Shigeaki Yahikozawa | Yoichi Chizaki and Shigeaki Yahikozawa | Covariant BRST Quantization of Closed Strings in the PP-Wave Background | 30 pages | Prog.Theor.Phys.116:937-964,2007 | 10.1143/PTP.116.937 | RUP-06-1 | hep-th gr-qc quant-ph | null | We canonically quantize closed string theory in the pp-wave background with a
non-zero flux of the three-form field strength by using the covariant BRST
operator formalism. In this canonical quantization, we completely construct new
covariant free-mode representations, for which it is particularly important to
take account of the commutation relations of the zero mode of the light-cone
string coordinate X^{-} with other modes. All covariant string coordinates are
composed of the free-modes. Moreover, employing these covariant string
coordinates for the energy-momentum tensor, we calculate the anomaly in the
Virasoro algebra and determine the number of dimensions of spacetime and the
ordering constant from the nilpotency condition of the BRST charge in the
pp-wave background.
| [
{
"created": "Fri, 25 Aug 2006 15:04:46 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Aug 2006 04:38:47 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Nov 2006 09:41:07 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Chizaki",
"Yoichi",
""
],
[
"Yahikozawa",
"Shigeaki",
""
]
] | We canonically quantize closed string theory in the pp-wave background with a non-zero flux of the three-form field strength by using the covariant BRST operator formalism. In this canonical quantization, we completely construct new covariant free-mode representations, for which it is particularly important to take account of the commutation relations of the zero mode of the light-cone string coordinate X^{-} with other modes. All covariant string coordinates are composed of the free-modes. Moreover, employing these covariant string coordinates for the energy-momentum tensor, we calculate the anomaly in the Virasoro algebra and determine the number of dimensions of spacetime and the ordering constant from the nilpotency condition of the BRST charge in the pp-wave background. |
1008.3877 | Patrick Hearin | Patrick Hearin | Light-Cone Superspace BPS Theory | null | Nucl.Phys.B846:226-249,2011 | 10.1016/j.nuclphysb.2011.01.005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The BPS bound is formulated in light-cone superspace for the N = 4
superYang-Mills theory. As a consequence of the superalgebra all momenta are
shown to be expressed as a quadratic form in the relevant supertransformations,
and these forms are used to derive the light-cone superspace BPS equations.
Finally, the superfield expressions are expanded out to component form, and the
Wu-Yang Monopole boosted to the infinite momentum frame is shown to be a
solution.
| [
{
"created": "Mon, 23 Aug 2010 18:32:41 GMT",
"version": "v1"
}
] | 2011-02-15 | [
[
"Hearin",
"Patrick",
""
]
] | The BPS bound is formulated in light-cone superspace for the N = 4 superYang-Mills theory. As a consequence of the superalgebra all momenta are shown to be expressed as a quadratic form in the relevant supertransformations, and these forms are used to derive the light-cone superspace BPS equations. Finally, the superfield expressions are expanded out to component form, and the Wu-Yang Monopole boosted to the infinite momentum frame is shown to be a solution. |
0802.3796 | Allan Joseph Michael Medved | A.J.M. Medved | A Brief Editorial on de Sitter Radiation via Tunneling | 5 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Very recently (by which we mean two days ago), Y. Sekiwa submitted a paper
[arXiv:0802.3266] that dismisses some previous calculations of the de Sitter
radiative temperature. Significantly, these calculations employed the
(so-called) tunneling methodology, which the stated author then goes on to
correspondingly revise. After briefly commenting on what the tunneling
framework can be claimed to say and what it cannot, we respond to the author's
criticisms and proposed revision.
| [
{
"created": "Tue, 26 Feb 2008 20:53:05 GMT",
"version": "v1"
}
] | 2008-02-27 | [
[
"Medved",
"A. J. M.",
""
]
] | Very recently (by which we mean two days ago), Y. Sekiwa submitted a paper [arXiv:0802.3266] that dismisses some previous calculations of the de Sitter radiative temperature. Significantly, these calculations employed the (so-called) tunneling methodology, which the stated author then goes on to correspondingly revise. After briefly commenting on what the tunneling framework can be claimed to say and what it cannot, we respond to the author's criticisms and proposed revision. |
2012.04976 | Matej Pavsic | Matej Pav\v{s}i\v{c} | On Negative Energies, Strings, Branes, and Braneworlds: A Review of
Novel Approaches | 25 pages, 8 figures | International Journal of Modern Physics A, Volume No. 35, Issue
No. 33, Article No. 2030020, Year 2020 | 10.1142/S0217751X20300203 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | On the way towards quantum gravity and the unification of interaction,
several ideas have been rejected and avenues avoided because they were
perceived as physically unviable. But in the literature there are works in
which it was found the contrary, namely that those rejected topics make sense
after all. Such topics, reviewed in this article, are negative energies
occurring in higher derivative theories and ultrahyperbolic spaces, ordering
ambiguity of operators in curved spaces, the vast landscape of possible
compactifications of extra dimensions in string theory, and quantization of a
3-brane in braneworld scenarios.
| [
{
"created": "Wed, 9 Dec 2020 11:10:07 GMT",
"version": "v1"
}
] | 2020-12-10 | [
[
"Pavšič",
"Matej",
""
]
] | On the way towards quantum gravity and the unification of interaction, several ideas have been rejected and avenues avoided because they were perceived as physically unviable. But in the literature there are works in which it was found the contrary, namely that those rejected topics make sense after all. Such topics, reviewed in this article, are negative energies occurring in higher derivative theories and ultrahyperbolic spaces, ordering ambiguity of operators in curved spaces, the vast landscape of possible compactifications of extra dimensions in string theory, and quantization of a 3-brane in braneworld scenarios. |
2303.08210 | Alessandro Pini | Alessandro Pini, Paolo Vallarino | Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling | 22 pages | null | 10.1007/JHEP06(2023)050 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the correlation function between one single-trace scalar operator
and a circular Wilson loop in the $4d$ $\mathcal{N}=2$ superconformal field
theory with gauge group $SU(N)$ and matter transforming in the symmetric and
anti-symmetric representations. By exploiting supersymmetric localization, we
resum the perturbative expansion of this correlator in the large-$N$ 't Hooft
limit. Furthermore, using both analytical and numerical techniques, we provide
a prediction for the leading term of its strong coupling expansion and we
compare this prediction to numerical Pad\'e resummations of the perturbative
series.
| [
{
"created": "Tue, 14 Mar 2023 20:03:12 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2023 08:56:50 GMT",
"version": "v2"
}
] | 2023-06-19 | [
[
"Pini",
"Alessandro",
""
],
[
"Vallarino",
"Paolo",
""
]
] | We study the correlation function between one single-trace scalar operator and a circular Wilson loop in the $4d$ $\mathcal{N}=2$ superconformal field theory with gauge group $SU(N)$ and matter transforming in the symmetric and anti-symmetric representations. By exploiting supersymmetric localization, we resum the perturbative expansion of this correlator in the large-$N$ 't Hooft limit. Furthermore, using both analytical and numerical techniques, we provide a prediction for the leading term of its strong coupling expansion and we compare this prediction to numerical Pad\'e resummations of the perturbative series. |
1110.1619 | Andrew Neitzke | Andrew Neitzke | On a hyperholomorphic line bundle over the Coulomb branch | 27 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given an N=2 supersymmetric field theory in four dimensions, its dimensional
reduction on S^1 is a sigma model with hyperkahler target space M. We describe
a canonical line bundle V on M, equipped with a hyperholomorphic connection.
The construction of this connection is similar to the known construction of the
metric on M itself: one begins with a simple "semiflat" connection and then
improves it by including contributions weighed by the degeneracies of BPS
particles going around S^1. We conjecture that V describes the physics of the
theory dimensionally reduced on NUT space.
| [
{
"created": "Fri, 7 Oct 2011 19:46:02 GMT",
"version": "v1"
}
] | 2011-10-10 | [
[
"Neitzke",
"Andrew",
""
]
] | Given an N=2 supersymmetric field theory in four dimensions, its dimensional reduction on S^1 is a sigma model with hyperkahler target space M. We describe a canonical line bundle V on M, equipped with a hyperholomorphic connection. The construction of this connection is similar to the known construction of the metric on M itself: one begins with a simple "semiflat" connection and then improves it by including contributions weighed by the degeneracies of BPS particles going around S^1. We conjecture that V describes the physics of the theory dimensionally reduced on NUT space. |
2312.14240 | Emil Have | Arjun Bagchi, Aritra Banerjee, Jelle Hartong, Emil Have, Kedar S.
Kolekar, Mangesh Mandlik | Strings near black holes are Carrollian | A Christmas Carroll: From All of Us to All of You (7 pages, letter
format, 1 figure) v2: Added a reference | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that strings near the horizon of a Schwarzschild black hole,
when viewed by a stationary observer at infinity, probe a string Carroll
geometry, where the effective lightspeed is given by the distance from the
horizon. We expand the Polyakov action in powers of this lightspeed to find a
theory of Carrollian strings. We show that the string shrinks to a point to
leading order near the horizon, which follows a null geodesic in a
two-dimensional Rindler space. At the next-to-leading order the string
oscillates in the embedding fields associated with the near-horizon two-sphere.
| [
{
"created": "Thu, 21 Dec 2023 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Mar 2024 14:28:18 GMT",
"version": "v2"
}
] | 2024-03-28 | [
[
"Bagchi",
"Arjun",
""
],
[
"Banerjee",
"Aritra",
""
],
[
"Hartong",
"Jelle",
""
],
[
"Have",
"Emil",
""
],
[
"Kolekar",
"Kedar S.",
""
],
[
"Mandlik",
"Mangesh",
""
]
] | We demonstrate that strings near the horizon of a Schwarzschild black hole, when viewed by a stationary observer at infinity, probe a string Carroll geometry, where the effective lightspeed is given by the distance from the horizon. We expand the Polyakov action in powers of this lightspeed to find a theory of Carrollian strings. We show that the string shrinks to a point to leading order near the horizon, which follows a null geodesic in a two-dimensional Rindler space. At the next-to-leading order the string oscillates in the embedding fields associated with the near-horizon two-sphere. |
hep-th/9310034 | Hubert Saleur | H.Saleur | The winding angle distribution for Brownian and SAW revisited | 12 pages | null | null | null | hep-th | null | We study some generic aspects of the winding angle distribution around a
point in two dimensions for Brownian and self avoiding walks (SAW) using corner
transfer matrix and conformal field theory.
| [
{
"created": "Wed, 6 Oct 1993 20:59:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Saleur",
"H.",
""
]
] | We study some generic aspects of the winding angle distribution around a point in two dimensions for Brownian and self avoiding walks (SAW) using corner transfer matrix and conformal field theory. |
1908.04170 | John F. Donoghue | John F. Donoghue and Gabriel Menezes | The arrow of causality and quantum gravity | 5 pages, 2 figures | Phys. Rev. Lett. 123, 171601 (2019) | 10.1103/PhysRevLett.123.171601 | ACFI-T19-09 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Causality in quantum field theory is defined by the vanishing of field
commutators for space-like separations. However, this does not imply a
direction for causal effects. Hidden in our conventions for quantization is a
connection to the definition of an arrow of causality, i.e. what is the past
and what is the future. If we mix quantization conventions within the same
theory, we get a violation of microcausality. In such a theory with mixed
conventions the dominant definition of the arrow of causality is determined by
the stable states. In some quantum gravity theories, such as quadratic gravity
and possibly asymptotic safety, such a mixed causality condition occurs. We
discuss some of the implications.
| [
{
"created": "Mon, 12 Aug 2019 14:27:51 GMT",
"version": "v1"
}
] | 2019-10-30 | [
[
"Donoghue",
"John F.",
""
],
[
"Menezes",
"Gabriel",
""
]
] | Causality in quantum field theory is defined by the vanishing of field commutators for space-like separations. However, this does not imply a direction for causal effects. Hidden in our conventions for quantization is a connection to the definition of an arrow of causality, i.e. what is the past and what is the future. If we mix quantization conventions within the same theory, we get a violation of microcausality. In such a theory with mixed conventions the dominant definition of the arrow of causality is determined by the stable states. In some quantum gravity theories, such as quadratic gravity and possibly asymptotic safety, such a mixed causality condition occurs. We discuss some of the implications. |
hep-th/0210183 | David Berenstein | David Berenstein | Quantum moduli spaces from matrix models | 14 pages, Latex. v2: references added, minor corrections | Phys.Lett. B552 (2003) 255-264 | 10.1016/S0370-2693(02)03154-4 | null | hep-th | null | In this paper we show that the matrix model techniques developed by Dijkgraaf
and Vafa can be extended to compute quantum deformed moduli spaces of vacua in
four dimensional supersymmetric gauge theories. The examples studied give the
moduli space of a bulk D-brane probe in geometrically engineered theories, in
the presence of fractional branes at singularities.
| [
{
"created": "Fri, 18 Oct 2002 20:29:56 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2002 18:15:59 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Berenstein",
"David",
""
]
] | In this paper we show that the matrix model techniques developed by Dijkgraaf and Vafa can be extended to compute quantum deformed moduli spaces of vacua in four dimensional supersymmetric gauge theories. The examples studied give the moduli space of a bulk D-brane probe in geometrically engineered theories, in the presence of fractional branes at singularities. |
hep-th/0612014 | Samuel V\'azquez | Samuel E. Vazquez | Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin
Chains | 14 pages, 3 figures, revtex4 format | Phys.Rev.D75:125012,2007 | 10.1103/PhysRevD.75.125012 | null | hep-th cond-mat.stat-mech gr-qc | null | Using the AdS/CFT correspondence, we address the question of how to measure
complicated space-time metrics using gauge theory probes. In particular, we
consider the case of the 1/2 BPS geometries of type IIB supergravity. These
geometries are classified by certain "droplets" in a two dimensional space-like
hypersurface. We show how to reconstruct the full metric inside these droplets
using the one-loop ${\cal N} = 4$ SYM theory dilatation operator. This is done
by considering long operators in the SU(2) sector, which are dual to fast
rotating strings on the droplets. We develop new powerful techniques for large
$N$ complex matrix models that allow us to construct the Hamiltonian for these
strings. We find that the Hamiltonian can be mapped to a "dynamical" spin
chain. That is, the length of the chain is not fixed. Moreover, all of these
spin chains can be explicitly constructed using an interesting algebra which is
derived from the matrix model. Our techniques work for general droplet
configurations. As an example, we study a single elliptical droplet and the
"Hypotrochoid".
| [
{
"created": "Fri, 1 Dec 2006 23:52:38 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Vazquez",
"Samuel E.",
""
]
] | Using the AdS/CFT correspondence, we address the question of how to measure complicated space-time metrics using gauge theory probes. In particular, we consider the case of the 1/2 BPS geometries of type IIB supergravity. These geometries are classified by certain "droplets" in a two dimensional space-like hypersurface. We show how to reconstruct the full metric inside these droplets using the one-loop ${\cal N} = 4$ SYM theory dilatation operator. This is done by considering long operators in the SU(2) sector, which are dual to fast rotating strings on the droplets. We develop new powerful techniques for large $N$ complex matrix models that allow us to construct the Hamiltonian for these strings. We find that the Hamiltonian can be mapped to a "dynamical" spin chain. That is, the length of the chain is not fixed. Moreover, all of these spin chains can be explicitly constructed using an interesting algebra which is derived from the matrix model. Our techniques work for general droplet configurations. As an example, we study a single elliptical droplet and the "Hypotrochoid". |
1410.0671 | Bhabani Prasad Mandal Prof. | Mir Faizal, Sudhaker Upadhyay and Bhabani Prasad Mandal | Finite field-dependent BRST symmetry for ABJM theory in ${\cal N}=1$
superspace | 10 pages, Latex, No Figs. To appear in Phys. Lett. B | Phys. Lett. B 738 (2014) 201-205 | 10.1016/j.physletb.2014.09.042 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we analyse the ABJM theory in ${\cal N}=1$ superspace.
Firstly we study the linear and non-linear BRST transformations for the ABJM
theory. Then we derive the finite field dependent version of these BRST
(FFBRST) transformations. Further we show that such FFBRST transformations
relate the generating functional in linear gauge to the generating functional
in the non-linear gauge of ABJM theory.
| [
{
"created": "Sat, 20 Sep 2014 07:01:22 GMT",
"version": "v1"
}
] | 2014-10-07 | [
[
"Faizal",
"Mir",
""
],
[
"Upadhyay",
"Sudhaker",
""
],
[
"Mandal",
"Bhabani Prasad",
""
]
] | In this paper we analyse the ABJM theory in ${\cal N}=1$ superspace. Firstly we study the linear and non-linear BRST transformations for the ABJM theory. Then we derive the finite field dependent version of these BRST (FFBRST) transformations. Further we show that such FFBRST transformations relate the generating functional in linear gauge to the generating functional in the non-linear gauge of ABJM theory. |
2104.00007 | Jose Juan Fernandez-Melgarejo | Jose J. Fernandez-Melgarejo, Yuho Sakatani | Jacobi-Lie T-plurality | 30 pages; v2: minor corrections, references added; v3 matches the
published version: extended the discussion, an appendix and references added | SciPost Phys. 11, 038 (2021) | 10.21468/SciPostPhys.11.2.038 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a Leibniz algebra, to be called DD$^+$, which is a generalization
of the Drinfel'd double. We find that there is a one-to-one correspondence
between a DD$^+$ and a Jacobi--Lie bialgebra, extending the known
correspondence between a Lie bialgebra and a Drinfel'd double. We then
construct generalized frame fields $E_A{}^M\in\text{O}(D,D)\times\mathbb{R}^+$
satisfying the algebra $\mathcal{L}_{E_A}E_B = - X_{AB}{}^C\,E_C\,$, where
$X_{AB}{}^C$ are the structure constants of the DD$^+$ and $\mathcal{L}$ is the
generalized Lie derivative in double field theory. Using the generalized frame
fields, we propose the Jacobi-Lie T-plurality and show that it is a symmetry of
double field theory. We present several examples of the Jacobi-Lie T-plurality
with or without Ramond-Ramond fields and the spectator fields.
| [
{
"created": "Wed, 31 Mar 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Apr 2021 06:36:10 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Aug 2021 08:14:25 GMT",
"version": "v3"
}
] | 2021-09-17 | [
[
"Fernandez-Melgarejo",
"Jose J.",
""
],
[
"Sakatani",
"Yuho",
""
]
] | We propose a Leibniz algebra, to be called DD$^+$, which is a generalization of the Drinfel'd double. We find that there is a one-to-one correspondence between a DD$^+$ and a Jacobi--Lie bialgebra, extending the known correspondence between a Lie bialgebra and a Drinfel'd double. We then construct generalized frame fields $E_A{}^M\in\text{O}(D,D)\times\mathbb{R}^+$ satisfying the algebra $\mathcal{L}_{E_A}E_B = - X_{AB}{}^C\,E_C\,$, where $X_{AB}{}^C$ are the structure constants of the DD$^+$ and $\mathcal{L}$ is the generalized Lie derivative in double field theory. Using the generalized frame fields, we propose the Jacobi-Lie T-plurality and show that it is a symmetry of double field theory. We present several examples of the Jacobi-Lie T-plurality with or without Ramond-Ramond fields and the spectator fields. |
1302.5471 | Pablo Soler | Gary Shiu, Pablo Soler, and Fang Ye | Milli-Charged Dark Matter in Quantum Gravity and String Theory | 4 pages | null | 10.1103/PhysRevLett.110.241304 | MAD-TH-13-01 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the milli-charged dark matter scenario from a string theory
perspective. In this scenario, kinetic and mass mixings of the photon with
extra U(1) bosons are claimed to give rise to small electric charges, carried
by dark matter particles, whose values are determined by continuous parameters
of the theory. This seems to contradict folk theorems of quantum gravity that
forbid the existence of irrational charges in theories with a single massless
gauge field. By considering the underlying structure of the U(1) mass matrix
that appears in type II string compactifications, we show that milli-charges
arise exclusively through kinetic mixing, and require the existence of at least
two exactly massless gauge bosons.
| [
{
"created": "Fri, 22 Feb 2013 03:28:27 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Shiu",
"Gary",
""
],
[
"Soler",
"Pablo",
""
],
[
"Ye",
"Fang",
""
]
] | We examine the milli-charged dark matter scenario from a string theory perspective. In this scenario, kinetic and mass mixings of the photon with extra U(1) bosons are claimed to give rise to small electric charges, carried by dark matter particles, whose values are determined by continuous parameters of the theory. This seems to contradict folk theorems of quantum gravity that forbid the existence of irrational charges in theories with a single massless gauge field. By considering the underlying structure of the U(1) mass matrix that appears in type II string compactifications, we show that milli-charges arise exclusively through kinetic mixing, and require the existence of at least two exactly massless gauge bosons. |
1811.05650 | Calin Iuliu Lazaroiu | Calin Iuliu Lazaroiu, Mehdi Tavakol | B-type Landau-Ginzburg models with one-dimensional target | 10 pages, proceedings for the Group 32 conference, Prague, 2018 | Journal of Physics: Conf. Series 1194 (2019) 012066 | 10.1088/1742-6596/1194/1/012066 | null | hep-th math.AG math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We summarize the main results of our investigation of B-type topological
Landau-Ginzburg models whose target is an arbitrary open Riemann surface. Such
a Riemann surface need not be affine algebraic and in particular it may have
infinite genus or an infinite number of Freudenthal ends. Under mild conditions
on the Landau-Ginzburg superpotential, we give a complete description of the
triangulated structure of the category of topological D-branes in such models
as well as counting formulas for the number of topological D-branes considered
up to relevant equivalence relations.
| [
{
"created": "Wed, 14 Nov 2018 05:27:10 GMT",
"version": "v1"
}
] | 2019-04-30 | [
[
"Lazaroiu",
"Calin Iuliu",
""
],
[
"Tavakol",
"Mehdi",
""
]
] | We summarize the main results of our investigation of B-type topological Landau-Ginzburg models whose target is an arbitrary open Riemann surface. Such a Riemann surface need not be affine algebraic and in particular it may have infinite genus or an infinite number of Freudenthal ends. Under mild conditions on the Landau-Ginzburg superpotential, we give a complete description of the triangulated structure of the category of topological D-branes in such models as well as counting formulas for the number of topological D-branes considered up to relevant equivalence relations. |
hep-th/9402128 | null | L.Chandar | Fractional Quantum Hall Effect from Anomalies in WZNW Model | 14 pages, SU-4240-569 | Mod.Phys.Lett. A9 (1994) 3403-3412 | 10.1142/S0217732394003233 | null | hep-th cond-mat hep-ph | null | An approach to understand Fractional Quantum Hall Effect (FQHE) using
anomalies is studied in this paper. More specifically, this is done by looking
at the anomaly in the current conservation equation of a WZNW theory describing
fields living at the edge of the two dimensional Hall sample. This WZNW theory
itself comes from the non-Abelian bosonisation of fermions living at the edge.
It is shown that this model can describe both integer and fractional
quantization of conductivities in a unified manner.
| [
{
"created": "Wed, 23 Feb 1994 03:52:22 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 1994 03:12:45 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Apr 1994 00:51:00 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Chandar",
"L.",
""
]
] | An approach to understand Fractional Quantum Hall Effect (FQHE) using anomalies is studied in this paper. More specifically, this is done by looking at the anomaly in the current conservation equation of a WZNW theory describing fields living at the edge of the two dimensional Hall sample. This WZNW theory itself comes from the non-Abelian bosonisation of fermions living at the edge. It is shown that this model can describe both integer and fractional quantization of conductivities in a unified manner. |
hep-th/0212217 | Constantin Bachas | Constantin Bachas (ENS, Paris) | Relativistic String in a Pulse | Tex file, uses harvmac, 30 pages with 4 figures. Reference added,
typos and one formula corrected. Final version to appear in Annals of Physics | Annals Phys. 305 (2003) 286-309 | 10.1016/S0003-4916(03)00065-4 | LPTENS-02/63 | hep-th gr-qc | null | I study a relativistic open string coupling through its endpoints to a plane
wave with arbitrary temporal profile. The string's transverse oscillations
respond linearly to the external field. This makes it possible to solve the
classical equations, and to calculate the quantum-mechanical S-matrix in closed
form. I analyze the dynamics of the string as the characteristic frequency and
duration of the pulse are continuously varied. I derive, in particular, the
multipole expansion in the adiabatic limit of very long wavelengths, and
discuss also more violent phenomena such as shock waves, cusps and null brane
intersections. Apart from their relevance to the study of time-dependence in
superstring theory, these results could have other applications, such as the
teleportation of gravitational wave bursts by cosmic strings.
| [
{
"created": "Wed, 18 Dec 2002 16:57:21 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2003 13:33:01 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Bachas",
"Constantin",
"",
"ENS, Paris"
]
] | I study a relativistic open string coupling through its endpoints to a plane wave with arbitrary temporal profile. The string's transverse oscillations respond linearly to the external field. This makes it possible to solve the classical equations, and to calculate the quantum-mechanical S-matrix in closed form. I analyze the dynamics of the string as the characteristic frequency and duration of the pulse are continuously varied. I derive, in particular, the multipole expansion in the adiabatic limit of very long wavelengths, and discuss also more violent phenomena such as shock waves, cusps and null brane intersections. Apart from their relevance to the study of time-dependence in superstring theory, these results could have other applications, such as the teleportation of gravitational wave bursts by cosmic strings. |
1612.06514 | Leonardo Rastelli | Federico Bonetti and Leonardo Rastelli | Supersymmetric Localization in AdS$_5$ and the Protected Chiral Algebra | 36 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | ${\cal N} =4$ super Yang-Mills theory admits \cite{Beem:2013sza} a protected
subsector isomorphic to a two-dimensional chiral algebra, obtained by passing
to the cohomology of a certain supercharge. In the large $N$ limit, we expect
this chiral algebra to have a dual description as a subsector of IIB
supergravity on $AdS_5 \times S^5$. This subsector can be carved out by a
version of supersymmetric localization, using the bulk analog of the boundary
supercharge. We illustrate this procedure in a simple model, the theory of an
${\cal N}=4$ vector multiplet in $AdS_5$, for which a convenient off-shell
description is available. This model can be viewed as the simplest truncation
of the full $AdS_5 \times S^5$ supergravity, in which case the vector multiplet
should be taken in the adjoint representation of ${\mathfrak g}_F = \mathfrak
{su}(2)_F$. Localization yields Chern-Simons theory on $AdS_3$ with gauge
algebra ${\mathfrak g}_F$, whose boundary dual is the affine Lie algebra
$\widehat {\mathfrak g}_F$. We comment on the generalization to the full bulk
theory. We propose that the large $N$ limit of the chiral algebra of ${\cal
N}=4$ SYM is again dual to Chern-Simons theory, with gauge algebra a suitable
higher-spin superalgebra.
| [
{
"created": "Tue, 20 Dec 2016 06:05:59 GMT",
"version": "v1"
}
] | 2016-12-21 | [
[
"Bonetti",
"Federico",
""
],
[
"Rastelli",
"Leonardo",
""
]
] | ${\cal N} =4$ super Yang-Mills theory admits \cite{Beem:2013sza} a protected subsector isomorphic to a two-dimensional chiral algebra, obtained by passing to the cohomology of a certain supercharge. In the large $N$ limit, we expect this chiral algebra to have a dual description as a subsector of IIB supergravity on $AdS_5 \times S^5$. This subsector can be carved out by a version of supersymmetric localization, using the bulk analog of the boundary supercharge. We illustrate this procedure in a simple model, the theory of an ${\cal N}=4$ vector multiplet in $AdS_5$, for which a convenient off-shell description is available. This model can be viewed as the simplest truncation of the full $AdS_5 \times S^5$ supergravity, in which case the vector multiplet should be taken in the adjoint representation of ${\mathfrak g}_F = \mathfrak {su}(2)_F$. Localization yields Chern-Simons theory on $AdS_3$ with gauge algebra ${\mathfrak g}_F$, whose boundary dual is the affine Lie algebra $\widehat {\mathfrak g}_F$. We comment on the generalization to the full bulk theory. We propose that the large $N$ limit of the chiral algebra of ${\cal N}=4$ SYM is again dual to Chern-Simons theory, with gauge algebra a suitable higher-spin superalgebra. |
hep-th/0405073 | K. Shizuya | K. Shizuya | Topological-charge anomalies in supersymmetric theories with domain
walls | 8 pages, Revtex | Phys.Rev. D70 (2004) 065003 | 10.1103/PhysRevD.70.065003 | YITP-04-25 | hep-th | null | Domain walls in 1+2 dimensions are studied to clarify some general features
of topological-charge anomalies in supersymmetric theories, by extensive use of
a superfield supercurrent. For domain walls quantum modifications of the
supercharge algebra arise not only from the short-distance anomaly but also
from another source of long-distance origin, induced spin in the domain-wall
background, and the latter dominates in the sum. A close look into the
supersymmetric trace identity, which naturally accommodates the central-charge
anomaly and its superpartners, shows an interesting consequence of the
improvement of the supercurrent: Via an improvement the anomaly in the central
charge can be transferred from induced spin in the fermion sector to an induced
potential in the boson sector. This fact reveals a dual character, both
fermionic and bosonic, of the central-charge anomaly, which reflects the
underlying supersymmetry. The one-loop superfield effective action is also
constructed to verify the anomaly and BPS saturation of the domain-wall
spectrum.
| [
{
"created": "Mon, 10 May 2004 10:05:02 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Shizuya",
"K.",
""
]
] | Domain walls in 1+2 dimensions are studied to clarify some general features of topological-charge anomalies in supersymmetric theories, by extensive use of a superfield supercurrent. For domain walls quantum modifications of the supercharge algebra arise not only from the short-distance anomaly but also from another source of long-distance origin, induced spin in the domain-wall background, and the latter dominates in the sum. A close look into the supersymmetric trace identity, which naturally accommodates the central-charge anomaly and its superpartners, shows an interesting consequence of the improvement of the supercurrent: Via an improvement the anomaly in the central charge can be transferred from induced spin in the fermion sector to an induced potential in the boson sector. This fact reveals a dual character, both fermionic and bosonic, of the central-charge anomaly, which reflects the underlying supersymmetry. The one-loop superfield effective action is also constructed to verify the anomaly and BPS saturation of the domain-wall spectrum. |
hep-th/0101024 | Yu. A. Sitenko | Yurii A. Sitenko (BITP, Kiev) | Self-adjointness of the two-dimensional massless Dirac Hamiltonian and
vacuum polarization effects in the background of a singular magnetic vortex | 41 pages, 4 EPS figures | Annals Phys. 282 (2000) 167-217 | 10.1006/aphy.2000.5999 | null | hep-th | null | A massless spinor field is quantized in the background of a singular static
magnetic vortex in 2+1-dimensional space-time. The method of self-adjoint
extensions is employed to define the most general set of physically acceptable
boundary conditions at the location of the vortex. Under these conditions, all
effects of polarization of the massless fermionic vacuum in the vortex
background are determined. Absence of anomaly is demonstrated, and patterns of
both parity and chiral symmetry breaking are discussed.
| [
{
"created": "Wed, 3 Jan 2001 15:24:32 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Sitenko",
"Yurii A.",
"",
"BITP, Kiev"
]
] | A massless spinor field is quantized in the background of a singular static magnetic vortex in 2+1-dimensional space-time. The method of self-adjoint extensions is employed to define the most general set of physically acceptable boundary conditions at the location of the vortex. Under these conditions, all effects of polarization of the massless fermionic vacuum in the vortex background are determined. Absence of anomaly is demonstrated, and patterns of both parity and chiral symmetry breaking are discussed. |
hep-th/9705221 | Nathan Seiberg | Nathan Seiberg | Matrix Description of M-theory on $T^5$ and $T^5/Z_2$ | harvmac, 13 pages, minor changes | Phys.Lett.B408:98-104,1997 | 10.1016/S0370-2693(97)00805-8 | RU-97-42 | hep-th | null | We present four infinite series of new quantum theories with super-Poincare
symmetry in six dimensions, which are not local quantum field theories. They
have string like excitations but the string coupling is of order one.
Compactifying these theories on $T^5$ we find a Matrix theory description of M
theory on $T^5$ and on $T^5/\IZ_2$, which is well defined and is manifestly
U-duality invariant.
| [
{
"created": "Wed, 28 May 1997 17:32:19 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 1997 16:02:23 GMT",
"version": "v2"
}
] | 2009-09-15 | [
[
"Seiberg",
"Nathan",
""
]
] | We present four infinite series of new quantum theories with super-Poincare symmetry in six dimensions, which are not local quantum field theories. They have string like excitations but the string coupling is of order one. Compactifying these theories on $T^5$ we find a Matrix theory description of M theory on $T^5$ and on $T^5/\IZ_2$, which is well defined and is manifestly U-duality invariant. |
1503.08578 | Hidenori Sonoda | H. Sonoda | Equivalence of Wilson Actions | 21 papges, no figure, LaTeX2e, updated version with Appendices C and
D | null | 10.1093/ptep/ptv130 | KOBE-TH-15-02 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the concept of equivalence among Wilson actions. Applying the
concept to a real scalar theory on a euclidean space, we derive the exact
renormalization group transformation of K. G. Wilson, and give a simple proof
of universality of the critical exponents at any fixed point of the exact
renormalization group transformation. We also show how to reduce the original
formalism of Wilson to the simplified formalism by J. Polchinski.
| [
{
"created": "Mon, 30 Mar 2015 07:55:46 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Aug 2015 05:38:03 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Sep 2015 02:05:20 GMT",
"version": "v3"
}
] | 2016-06-21 | [
[
"Sonoda",
"H.",
""
]
] | We introduce the concept of equivalence among Wilson actions. Applying the concept to a real scalar theory on a euclidean space, we derive the exact renormalization group transformation of K. G. Wilson, and give a simple proof of universality of the critical exponents at any fixed point of the exact renormalization group transformation. We also show how to reduce the original formalism of Wilson to the simplified formalism by J. Polchinski. |
1811.09638 | Nadav Drukker | Michael Cooke, Amit Dekel, Nadav Drukker, Diego Trancanelli and
Edoardo Vescovi | Deformations of the circular Wilson loop and spectral (in)dependence | 25 pages. v2: minor correction and added (with sincere appologies)
missing acknowlegments | JHEP 1901 (2019) 076 | 10.1007/JHEP01(2019)076 | Imperial-TP-EV-2018-01, NORDITA 2018-120 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the expectation value of deformations of the circular
Wilson loop in ${\cal N}=4$ super Yang-Mills theory. The leading order
deformation, known as the Bremsstrahlung function, can be obtained exactly from
supersymmetric localization, so our focus is on deformations at higher orders.
We find simple expressions for the expectation values for generic deformations
at the quartic order at one-loop at weak coupling and at leading order at
strong coupling. We also present a very simple algorithm (not requiring
integration) to evaluate the two-loop result. We find that an exact symmetry of
the strong coupling sigma-model, known as the spectral-parameter independence,
is an approximate symmetry at weak coupling, modifying the expectation value
starting only at the sextic order in the deformation. Furthermore, we find very
simple patterns for how the spectral parameter can appear in the weak coupling
calculation, suggesting all-order structures.
| [
{
"created": "Fri, 23 Nov 2018 19:00:06 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Jan 2019 09:31:27 GMT",
"version": "v2"
}
] | 2019-01-15 | [
[
"Cooke",
"Michael",
""
],
[
"Dekel",
"Amit",
""
],
[
"Drukker",
"Nadav",
""
],
[
"Trancanelli",
"Diego",
""
],
[
"Vescovi",
"Edoardo",
""
]
] | In this paper we study the expectation value of deformations of the circular Wilson loop in ${\cal N}=4$ super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from supersymmetric localization, so our focus is on deformations at higher orders. We find simple expressions for the expectation values for generic deformations at the quartic order at one-loop at weak coupling and at leading order at strong coupling. We also present a very simple algorithm (not requiring integration) to evaluate the two-loop result. We find that an exact symmetry of the strong coupling sigma-model, known as the spectral-parameter independence, is an approximate symmetry at weak coupling, modifying the expectation value starting only at the sextic order in the deformation. Furthermore, we find very simple patterns for how the spectral parameter can appear in the weak coupling calculation, suggesting all-order structures. |
2010.15293 | Eduardo Folco Capossoli | Nathan G. Caldeira, Eduardo Folco Capossoli, Carlos A. D. Zarro and
Henrique Boschi-Filho | Fluctuation and dissipation within a deformed holographic model with
backreaction | V2: 14 pages, 2 figures. Abstract changed. Text improved. Typos
corrected. Results unchanged. This version matches the published one in PLB | Phys.Lett. B815 (2021) | 10.1016/j.physletb.2021.136140 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we study the fluctuation and dissipation of a string attached to
a brane in a deformed and backreated AdS-Schwarzschild spacetime. This space is
a solution of Einstein-dilaton equations and contains a conformal exponential
factor $\exp(k/r^2)$ in the metric. We consider the backreaction contributions
coming only from the exponential warp factor on the AdS-Schwarzschild black
hole, where the string and brane are in the probe approximation.
Within this Lorentz invariant holographic model we have computed the
admittance, the diffusion coefficient, the two-point functions and the
regularized mean square displacement $s^2_{reg}$. From this quantity we obtain
the diffuse and ballistic regimes characteristic of the Brownian motion. From
the two-point functions and the admittance, we also have checked the well know
fluctuation-dissipation theorem in this set up.
| [
{
"created": "Thu, 29 Oct 2020 00:53:09 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Feb 2021 03:10:13 GMT",
"version": "v2"
}
] | 2021-02-19 | [
[
"Caldeira",
"Nathan G.",
""
],
[
"Capossoli",
"Eduardo Folco",
""
],
[
"Zarro",
"Carlos A. D.",
""
],
[
"Boschi-Filho",
"Henrique",
""
]
] | In this work we study the fluctuation and dissipation of a string attached to a brane in a deformed and backreated AdS-Schwarzschild spacetime. This space is a solution of Einstein-dilaton equations and contains a conformal exponential factor $\exp(k/r^2)$ in the metric. We consider the backreaction contributions coming only from the exponential warp factor on the AdS-Schwarzschild black hole, where the string and brane are in the probe approximation. Within this Lorentz invariant holographic model we have computed the admittance, the diffusion coefficient, the two-point functions and the regularized mean square displacement $s^2_{reg}$. From this quantity we obtain the diffuse and ballistic regimes characteristic of the Brownian motion. From the two-point functions and the admittance, we also have checked the well know fluctuation-dissipation theorem in this set up. |
hep-th/0004109 | Jaume Garriga | Jaume Garriga, Oriol Pujolas and Takahiro Tanaka | Radion effective potential in the Brane-World | 23 pages, 5 figures, replaced with minor typographycal corrections
and with references added | Nucl.Phys.B605:192-214,2001 | 10.1016/S0550-3213(01)00144-4 | UAB-FT 486, YITP 00-20 | hep-th astro-ph gr-qc hep-ph | null | We show that in brane-world scenarios with warped extra dimensions, the
Casimir force due to bulk matter fields may be sufficient to stabilize the
radion field $\phi$. In particular, we calculate one loop effective potential
for $\phi$ induced by bulk gravitons and other possible massless bulk fields in
the Randall-Sundrum background. This potential has a local extremum, which can
be a maximum or a minimum depending on the detailed bulk matter content. If the
parameters of the background are chosen so that the hierarchy problem is solved
geometrically, then the radion mass induced by Casimir corrections is
hierarchycally smaller than the $TeV$. Hence, in this important case, we must
invoke an alternative mechanism (classical or nonperturbative) which gives the
radion a sizable mass, to make it compatible with observations.
| [
{
"created": "Fri, 14 Apr 2000 14:31:16 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2000 15:23:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Garriga",
"Jaume",
""
],
[
"Pujolas",
"Oriol",
""
],
[
"Tanaka",
"Takahiro",
""
]
] | We show that in brane-world scenarios with warped extra dimensions, the Casimir force due to bulk matter fields may be sufficient to stabilize the radion field $\phi$. In particular, we calculate one loop effective potential for $\phi$ induced by bulk gravitons and other possible massless bulk fields in the Randall-Sundrum background. This potential has a local extremum, which can be a maximum or a minimum depending on the detailed bulk matter content. If the parameters of the background are chosen so that the hierarchy problem is solved geometrically, then the radion mass induced by Casimir corrections is hierarchycally smaller than the $TeV$. Hence, in this important case, we must invoke an alternative mechanism (classical or nonperturbative) which gives the radion a sizable mass, to make it compatible with observations. |
0710.4011 | Kazutoshi Ohta | Kazutoshi Ohta | Counting BPS Solitons and Applications | Submitted for the SUSY07 proceedings, 4 pages, LaTeX, 3 eps figures | null | null | TU-784 | hep-th | null | We propose a novel and simple method of computing the volume of the moduli
space of BPS solitons in supersymmetric gauge theory. We use a D-brane
realization of vortices and T-duality relation to domain walls. We there use a
special limit where domain walls reduce to gas of hard (soft) one-dimensional
rods for the Abelian (non-Abelian) cases. In the simpler cases of the
Abelian-Higgs model on a torus, our results agree with exact results which are
geometrically derived by an explicit integration over the moduli space of the
vortices. On the other side of the limit, we can compute the volume of the
moduli space in the combinatorial way, where the problem on the random (plane)
partition appears as well as the four dimensional instanton calculus. A part of
this talk is based on collaboration with M. Eto, T. Fujimori, M. Nitta, K.
Ohashi and N. Sakai [hep-th/0703197].
| [
{
"created": "Mon, 22 Oct 2007 11:02:51 GMT",
"version": "v1"
}
] | 2007-10-23 | [
[
"Ohta",
"Kazutoshi",
""
]
] | We propose a novel and simple method of computing the volume of the moduli space of BPS solitons in supersymmetric gauge theory. We use a D-brane realization of vortices and T-duality relation to domain walls. We there use a special limit where domain walls reduce to gas of hard (soft) one-dimensional rods for the Abelian (non-Abelian) cases. In the simpler cases of the Abelian-Higgs model on a torus, our results agree with exact results which are geometrically derived by an explicit integration over the moduli space of the vortices. On the other side of the limit, we can compute the volume of the moduli space in the combinatorial way, where the problem on the random (plane) partition appears as well as the four dimensional instanton calculus. A part of this talk is based on collaboration with M. Eto, T. Fujimori, M. Nitta, K. Ohashi and N. Sakai [hep-th/0703197]. |
hep-th/0205117 | J. K. Slingerland | F.A. Bais, B.J. Schroers and J.K. Slingerland | Broken quantum symmetry and confinement phases in planar physics | 4 pages, revtex | Phys.Rev.Lett. 89 (2002) 181601 | 10.1103/PhysRevLett.89.181601 | ITFA-2002-15, HWM-02-17, EMPG-02-10 | hep-th cond-mat | null | Many two-dimensional physical systems have symmetries which are
mathematically described by quantum groups (quasi-triangular Hopf algebras). In
this letter we introduce the concept of a spontaneously broken Hopf symmetry
and show that it provides an effective tool for analysing a wide variety of
phases exhibiting many distinct confinement phenomena.
| [
{
"created": "Mon, 13 May 2002 15:38:28 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Bais",
"F. A.",
""
],
[
"Schroers",
"B. J.",
""
],
[
"Slingerland",
"J. K.",
""
]
] | Many two-dimensional physical systems have symmetries which are mathematically described by quantum groups (quasi-triangular Hopf algebras). In this letter we introduce the concept of a spontaneously broken Hopf symmetry and show that it provides an effective tool for analysing a wide variety of phases exhibiting many distinct confinement phenomena. |
hep-th/0402003 | Peter Orland | Peter Orland (Grad. School and Univ. Center and Baruch College,
C.U.N.Y.) | Gauge-Invariant Coordinates on Gauge-Theory Orbit Space | Typos corrected, more about the non-Abelian decomposition and inner
products, more discussion of the mass gap in 3+1 dimensions. Now 23 pages | Phys.Rev. D70 (2004) 045014 | 10.1103/PhysRevD.70.045014 | BCCUNY-HEP 2004/01 | hep-th hep-lat hep-ph | null | A gauge-invariant field is found which describes physical configurations,
i.e. gauge orbits, of non-Abelian gauge theories. This is accomplished with
non-Abelian generalizations of the Poincare'-Hodge formula for one-forms. In a
particular sense, the new field is dual to the gauge field. Using this field as
a coordinate, the metric and intrinsic curvature are discussed for Yang-Mills
orbit space for the (2+1)- and (3+1)-dimensional cases. The sectional, Ricci
and scalar curvatures are all formally non-negative. An expression for the new
field in terms of the Yang-Mills connection is found in 2+1 dimensions. The
measure on Schroedinger wave functionals is found in both 2+1 and 3+1
dimensions; in the former case, it resembles Karabali, Kim and Nair's measure.
We briefly discuss the form of the Hamiltonian in terms of the dual field and
comment on how this is relevant to the mass gap for both the (2+1)- and
(3+1)-dimensional cases.
| [
{
"created": "Mon, 2 Feb 2004 17:15:41 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 2004 19:36:42 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Feb 2004 21:28:36 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Orland",
"Peter",
"",
"Grad. School and Univ. Center and Baruch College,\n C.U.N.Y."
]
] | A gauge-invariant field is found which describes physical configurations, i.e. gauge orbits, of non-Abelian gauge theories. This is accomplished with non-Abelian generalizations of the Poincare'-Hodge formula for one-forms. In a particular sense, the new field is dual to the gauge field. Using this field as a coordinate, the metric and intrinsic curvature are discussed for Yang-Mills orbit space for the (2+1)- and (3+1)-dimensional cases. The sectional, Ricci and scalar curvatures are all formally non-negative. An expression for the new field in terms of the Yang-Mills connection is found in 2+1 dimensions. The measure on Schroedinger wave functionals is found in both 2+1 and 3+1 dimensions; in the former case, it resembles Karabali, Kim and Nair's measure. We briefly discuss the form of the Hamiltonian in terms of the dual field and comment on how this is relevant to the mass gap for both the (2+1)- and (3+1)-dimensional cases. |
hep-th/9610204 | Marco Matone | Marco Matone | Modular Invariance and Structure of the Exact Wilsonian Action of N=2
SYM | 10 pages, LaTeX file, misprints and a factor 2 in the derivation of
alpha corrected | Phys.Rev.Lett. 78 (1997) 1412-1415 | 10.1103/PhysRevLett.78.1412 | DFPD96/TH/50 | hep-th alg-geom dg-ga hep-ph math.AG math.DG | null | We construct modular invariants on the moduli space of quantum vacua of N=2
SYM with gauge group SU(2). We also introduce a nonchiral function K which is
expressed in terms of the Seiberg-Witten and Poincare' metrics. It turns out
that K has all the expected properties of the next to leading term in the
Wilsonian effective action whose modular properties are considered in the
framework of the dimensional regularization.
| [
{
"created": "Fri, 25 Oct 1996 19:21:41 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 1997 18:06:44 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Feb 1997 17:30:41 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Matone",
"Marco",
""
]
] | We construct modular invariants on the moduli space of quantum vacua of N=2 SYM with gauge group SU(2). We also introduce a nonchiral function K which is expressed in terms of the Seiberg-Witten and Poincare' metrics. It turns out that K has all the expected properties of the next to leading term in the Wilsonian effective action whose modular properties are considered in the framework of the dimensional regularization. |
hep-th/0108054 | Jorgen Rasmussen | Jorgen Rasmussen | A non-reductive N=4 superconformal algebra | 10 pages, LaTeX, version to be published | J.Phys.A35:2037-2044,2002 | 10.1088/0305-4470/35/8/316 | null | hep-th math.QA | null | A new N=4 superconformal algebra (SCA) is presented. Its internal affine Lie
algebra is based on the seven-dimensional Lie algebra su(2)\oplus g, where g
should be identified with a four-dimensional non-reductive Lie algebra. Thus,
it is the first known example of what we choose to call a non-reductive SCA. It
contains a total of 16 generators and is obtained by a non-trivial
In\"on\"u-Wigner contraction of the well-known large N=4 SCA. The recently
discovered asymmetric N=4 SCA is a subalgebra of this new SCA. Finally, the
possible affine extensions of the non-reductive Lie algebra g are classified.
The two-form governing the extension appearing in the SCA differs from the
ordinary Cartan-Killing form.
| [
{
"created": "Wed, 8 Aug 2001 20:37:52 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 2002 01:33:32 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Rasmussen",
"Jorgen",
""
]
] | A new N=4 superconformal algebra (SCA) is presented. Its internal affine Lie algebra is based on the seven-dimensional Lie algebra su(2)\oplus g, where g should be identified with a four-dimensional non-reductive Lie algebra. Thus, it is the first known example of what we choose to call a non-reductive SCA. It contains a total of 16 generators and is obtained by a non-trivial In\"on\"u-Wigner contraction of the well-known large N=4 SCA. The recently discovered asymmetric N=4 SCA is a subalgebra of this new SCA. Finally, the possible affine extensions of the non-reductive Lie algebra g are classified. The two-form governing the extension appearing in the SCA differs from the ordinary Cartan-Killing form. |
0805.3705 | Matthew Johnson | Matthew C Johnson, Magdalena Larfors | Field dynamics and tunneling in a flux landscape | 23 PRD-style pages with 11 embedded figures. Added refs, corrected
typos, and clarified Sec. V. Replaced to match published version | Phys.Rev.D78:083534,2008 | 10.1103/PhysRevD.78.083534 | UUITP-09/08, CALT-68.2687 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate field dynamics and tunneling between metastable minima in a
landscape of Type IIB flux compactifications, utilizing monodromies of the
complex structure moduli space to continuously connect flux vacua. After
describing the generic features of a flux-induced potential for the complex
structure and Type IIB axio-dilaton, we specialize to the Mirror Quintic
Calabi--Yau to obtain an example landscape. Studying the cosmological dynamics
of the complex structure moduli, we find that the potential generically does
not support slow-roll inflation and that in general the landscape separates
neatly into basins of attraction of the various minima. We then discuss
tunneling, with the inclusion of gravitational effects, in many-dimensional
field spaces. A set of constraints on the form of the Euclidean paths through
field space are presented, and then applied to construct approximate instantons
mediating the transition between de Sitter vacua in the flux landscape. We find
that these instantons are generically thick-wall and that the tunneling rate is
suppressed in the large-volume limit. We also consider examples where
supersymmetry is not broken by fluxes, in which case near-BPS thin-wall bubbles
can be constructed. We calculate the bubble wall tension, finding that it
scales like a D- or NS-brane bubble, and comment on the implications of this
correspondence. Finally, we present a brief discussion of eternal inflation in
the flux-landscape.
| [
{
"created": "Sun, 25 May 2008 20:55:29 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2008 16:42:32 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Nov 2008 22:07:17 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Johnson",
"Matthew C",
""
],
[
"Larfors",
"Magdalena",
""
]
] | We investigate field dynamics and tunneling between metastable minima in a landscape of Type IIB flux compactifications, utilizing monodromies of the complex structure moduli space to continuously connect flux vacua. After describing the generic features of a flux-induced potential for the complex structure and Type IIB axio-dilaton, we specialize to the Mirror Quintic Calabi--Yau to obtain an example landscape. Studying the cosmological dynamics of the complex structure moduli, we find that the potential generically does not support slow-roll inflation and that in general the landscape separates neatly into basins of attraction of the various minima. We then discuss tunneling, with the inclusion of gravitational effects, in many-dimensional field spaces. A set of constraints on the form of the Euclidean paths through field space are presented, and then applied to construct approximate instantons mediating the transition between de Sitter vacua in the flux landscape. We find that these instantons are generically thick-wall and that the tunneling rate is suppressed in the large-volume limit. We also consider examples where supersymmetry is not broken by fluxes, in which case near-BPS thin-wall bubbles can be constructed. We calculate the bubble wall tension, finding that it scales like a D- or NS-brane bubble, and comment on the implications of this correspondence. Finally, we present a brief discussion of eternal inflation in the flux-landscape. |
1907.02410 | Jan Troost | Sujay K. Ashok and Jan Troost | Topological Open/Closed String Dualities: Matrix Models and Wave
Functions | 24 pages | null | 10.1007/JHEP09(2019)064 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We sharpen the duality between open and closed topological string partition
functions for topological gravity coupled to matter. The closed string
partition function is a generalised Kontsevich matrix model in the large
dimension limit. We integrate out off-diagonal degrees of freedom associated to
one source eigenvalue, and find an open/closed topological string partition
function, thus proving open/closed duality. We match the resulting open
partition function to the generating function of intersection numbers on moduli
spaces of Riemann surfaces with boundaries and boundary insertions. Moreover,
we connect our work to the literature on a wave function of the KP integrable
hierarchy and clarify the role of the extended Virasoro generators that include
all time variables as well as the coupling to the open string observable.
| [
{
"created": "Thu, 4 Jul 2019 14:05:27 GMT",
"version": "v1"
}
] | 2019-10-02 | [
[
"Ashok",
"Sujay K.",
""
],
[
"Troost",
"Jan",
""
]
] | We sharpen the duality between open and closed topological string partition functions for topological gravity coupled to matter. The closed string partition function is a generalised Kontsevich matrix model in the large dimension limit. We integrate out off-diagonal degrees of freedom associated to one source eigenvalue, and find an open/closed topological string partition function, thus proving open/closed duality. We match the resulting open partition function to the generating function of intersection numbers on moduli spaces of Riemann surfaces with boundaries and boundary insertions. Moreover, we connect our work to the literature on a wave function of the KP integrable hierarchy and clarify the role of the extended Virasoro generators that include all time variables as well as the coupling to the open string observable. |
hep-th/0602144 | Jose' P. S. Lemos | Goncalo A. S. Dias, Jose' P. S. Lemos | Conformal entropy from horizon states: Solodukhin's method for
spherical, toroidal, and hyperbolic black holes in D-dimensional anti-de
Sitter spacetimes | 21 pages | Phys.Rev.D74:044024,2006 | 10.1103/PhysRevD.74.044024 | null | hep-th cond-mat.stat-mech gr-qc quant-ph | null | A calculation of the entropy of static, electrically charged, black holes
with spherical, toroidal, and hyperbolic compact and oriented horizons, in D
spacetime dimensions, is performed. These black holes live in an anti-de Sitter
spacetime, i.e., a spacetime with negative cosmological constant. To find the
entropy, the approach developed by Solodukhin is followed. The method consists
in a redefinition of the variables in the metric, by considering the radial
coordinate as a scalar field. Then one performs a 2+(D-2) dimensional
reduction, where the (D-2) dimensions are in the angular coordinates, obtaining
a 2-dimensional effective scalar field theory. This theory is a conformal
theory in an infinitesimally small vicinity of the horizon. The corresponding
conformal symmetry will then have conserved charges, associated with its
infinitesimal conformal generators, which will generate a classical Poisson
algebra of the Virasoro type. Shifting the charges and replacing Poisson
brackets by commutators, one recovers the usual form of the Virasoro algebra,
obtaining thus the level zero conserved charge eigenvalue L_0, and a nonzero
central charge c. The entropy is then obtained via the Cardy formula.
| [
{
"created": "Tue, 14 Feb 2006 23:57:46 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dias",
"Goncalo A. S.",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] | A calculation of the entropy of static, electrically charged, black holes with spherical, toroidal, and hyperbolic compact and oriented horizons, in D spacetime dimensions, is performed. These black holes live in an anti-de Sitter spacetime, i.e., a spacetime with negative cosmological constant. To find the entropy, the approach developed by Solodukhin is followed. The method consists in a redefinition of the variables in the metric, by considering the radial coordinate as a scalar field. Then one performs a 2+(D-2) dimensional reduction, where the (D-2) dimensions are in the angular coordinates, obtaining a 2-dimensional effective scalar field theory. This theory is a conformal theory in an infinitesimally small vicinity of the horizon. The corresponding conformal symmetry will then have conserved charges, associated with its infinitesimal conformal generators, which will generate a classical Poisson algebra of the Virasoro type. Shifting the charges and replacing Poisson brackets by commutators, one recovers the usual form of the Virasoro algebra, obtaining thus the level zero conserved charge eigenvalue L_0, and a nonzero central charge c. The entropy is then obtained via the Cardy formula. |
2004.07069 | Katarzyna Ole\'s | C. Naya and K. Oles | Background fields and self-dual Skyrmions | refs added | Phys. Rev. D 102, 025007 (2020) | 10.1103/PhysRevD.102.025007 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that a suitable background field can bring a non-BPS topological
soliton into its BPS, self-dual, counterpart. As an example we consider
Skyrmions in the minimal Skyrme model. We prove the triviality of the
corresponding moduli space. This means that the resulting self-dual Skyrmion
does statically interact with the background field. We also show that the
originally self-dual Skyrmions (e.g. solutions of the BPS Skyrme model) can
preserve the self-duality after a coupling with a background field. In this
case, BPS Skyrmions can be effortless moved with respect to the background.
| [
{
"created": "Wed, 15 Apr 2020 13:01:04 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Apr 2020 14:51:02 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Sep 2021 21:33:27 GMT",
"version": "v3"
}
] | 2021-09-10 | [
[
"Naya",
"C.",
""
],
[
"Oles",
"K.",
""
]
] | We show that a suitable background field can bring a non-BPS topological soliton into its BPS, self-dual, counterpart. As an example we consider Skyrmions in the minimal Skyrme model. We prove the triviality of the corresponding moduli space. This means that the resulting self-dual Skyrmion does statically interact with the background field. We also show that the originally self-dual Skyrmions (e.g. solutions of the BPS Skyrme model) can preserve the self-duality after a coupling with a background field. In this case, BPS Skyrmions can be effortless moved with respect to the background. |
1308.5765 | Yen-Wei Liu | Mariam Bouhmadi-Lopez, Yen-Wei Liu, Keisuke Izumi, Pisin Chen | Tensor Perturbations from Brane-World Inflation with Curvature Effects | 13 pages, 5 figures. Version accepted in PRD | Phys. Rev. D 89, 063501 (2014) | 10.1103/PhysRevD.89.063501 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The brane-world scenario provides an intriguing possibility to explore the
phenomenological cosmology implied by string/M theory. In this paper, we
consider a modified Randall-Sundrum single brane model with two natural
generalizations: a Gauss-Bonnet term in the five-dimensional bulk action as
well as an induced gravity term in the four-dimensional brane action, which are
the leading-order corrections to the Randall-Sundrum model. We study the
influence of these combined effects on the evolution of the primordial
gravitational waves generated during an extreme slow-roll inflation on the
brane. The background, for the early inflationary era, is then modeled through
a de Sitter brane embedded within an anti-de Sitter bulk. In this framework, we
show that both effects tend to suppress the Randall-Sundrum enhancement of the
amplitude of the tensor perturbations at relatively high energies. Moreover,
the Gauss-Bonnet effect, relative to standard general relativity, will abruptly
enhance the tensor-to-scalar ratio and break the standard consistency relation
at high energies, which cannot be evaded by invoking the induced gravity
effect, even though the induced gravity strength would mildly counterbalance
these significant changes at high energies. We note that the brane-world model
with or without the induced gravity effect fulfills the consistency relation.
Finally, we discuss some implications of the observational constraints.
| [
{
"created": "Tue, 27 Aug 2013 06:42:38 GMT",
"version": "v1"
},
{
"created": "Mon, 5 May 2014 09:54:45 GMT",
"version": "v2"
}
] | 2014-05-06 | [
[
"Bouhmadi-Lopez",
"Mariam",
""
],
[
"Liu",
"Yen-Wei",
""
],
[
"Izumi",
"Keisuke",
""
],
[
"Chen",
"Pisin",
""
]
] | The brane-world scenario provides an intriguing possibility to explore the phenomenological cosmology implied by string/M theory. In this paper, we consider a modified Randall-Sundrum single brane model with two natural generalizations: a Gauss-Bonnet term in the five-dimensional bulk action as well as an induced gravity term in the four-dimensional brane action, which are the leading-order corrections to the Randall-Sundrum model. We study the influence of these combined effects on the evolution of the primordial gravitational waves generated during an extreme slow-roll inflation on the brane. The background, for the early inflationary era, is then modeled through a de Sitter brane embedded within an anti-de Sitter bulk. In this framework, we show that both effects tend to suppress the Randall-Sundrum enhancement of the amplitude of the tensor perturbations at relatively high energies. Moreover, the Gauss-Bonnet effect, relative to standard general relativity, will abruptly enhance the tensor-to-scalar ratio and break the standard consistency relation at high energies, which cannot be evaded by invoking the induced gravity effect, even though the induced gravity strength would mildly counterbalance these significant changes at high energies. We note that the brane-world model with or without the induced gravity effect fulfills the consistency relation. Finally, we discuss some implications of the observational constraints. |
2209.09764 | H. Arthur Weldon | H. Arthur Weldon | Thermodynamic pressure for massless QCD and the trace anomaly | 4 pages. Error corrected in Sec III.A now gives complete agreement
with Ref [11] | null | 10.1103/PhysRevD.106.105013 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | From statistical mechanics the trace of the thermal average of any
energy-momentum tensor is $\langle T^{\mu}_{\;\;\mu}\rangle =T\partial
P/\partial T-4P$. The renormalization group formula $\langle
T^{\mu}_{\;\;\mu}\rangle =\beta(g_{M})\partial P/\partial g_{M}$ for QCD with
massless fermions requires the pressure to have the structure \begin{equation}
P=T^{4}\sum_{n=0}^{\infty} \phi_{n}(g_{M})\big[\ln\big({M\over 4\pi
T}\big)\big]^{n},\end{equation} where the factor $4\pi$ is for later
convenience. The functions $\phi_{n}(g_{M})$ for $n\ge 1$ may be calculated
from $\phi_{0}(g_{M})$ using the recursion relation
$n\,\phi_{n}(g_{M})=-\beta(g_{M})d\phi_{n-1}/dg_{M}$. This is checked against
known perturbation theory results by using the terms of order $(g_{M})^{2},
(g_{M})^{3}$, $(g_{M})^{4}$ in $\phi_{0}(g_{M})$ to obtain the known terms of
order $(g_{M})^{4}, (g_{M})^{5}$, $(g_{M})^{6}$ in $\phi_{1}(g_{M})$ and the
known term of order $(g_{M})^{6}$ in $\phi_{2}(g_{M})$. The above series may be
summed and gives the same result as choosing $M=4\pi T$, viz.
$T^{4}\phi_{0}(g_{4\pi T})$.
| [
{
"created": "Tue, 20 Sep 2022 14:47:10 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Nov 2022 21:39:18 GMT",
"version": "v2"
}
] | 2022-11-30 | [
[
"Weldon",
"H. Arthur",
""
]
] | From statistical mechanics the trace of the thermal average of any energy-momentum tensor is $\langle T^{\mu}_{\;\;\mu}\rangle =T\partial P/\partial T-4P$. The renormalization group formula $\langle T^{\mu}_{\;\;\mu}\rangle =\beta(g_{M})\partial P/\partial g_{M}$ for QCD with massless fermions requires the pressure to have the structure \begin{equation} P=T^{4}\sum_{n=0}^{\infty} \phi_{n}(g_{M})\big[\ln\big({M\over 4\pi T}\big)\big]^{n},\end{equation} where the factor $4\pi$ is for later convenience. The functions $\phi_{n}(g_{M})$ for $n\ge 1$ may be calculated from $\phi_{0}(g_{M})$ using the recursion relation $n\,\phi_{n}(g_{M})=-\beta(g_{M})d\phi_{n-1}/dg_{M}$. This is checked against known perturbation theory results by using the terms of order $(g_{M})^{2}, (g_{M})^{3}$, $(g_{M})^{4}$ in $\phi_{0}(g_{M})$ to obtain the known terms of order $(g_{M})^{4}, (g_{M})^{5}$, $(g_{M})^{6}$ in $\phi_{1}(g_{M})$ and the known term of order $(g_{M})^{6}$ in $\phi_{2}(g_{M})$. The above series may be summed and gives the same result as choosing $M=4\pi T$, viz. $T^{4}\phi_{0}(g_{4\pi T})$. |
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