The Experts below are selected from a list of 253479 Experts worldwide ranked by ideXlab platform
David A. Lowe - One of the best experts on this subject based on the ideXlab platform.
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Massive IIA string Theory and Matrix Theory compactification
Nuclear Physics, 2003Co-Authors: David A. Lowe, Horatiu Nastase, Sanjaye RamgoolamAbstract:Abstract We propose a Matrix Theory approach to Romans' massive Type IIA supergravity. It is obtained by applying the procedure of Matrix Theory compactifications to Hull's proposal of the massive Type IIA string Theory as M-Theory on a twisted torus. The resulting Matrix Theory is a super-Yang–Mills Theory on large N three-branes with a space-dependent noncommutativity parameter, which is also independently derived by a T-duality approach. We give evidence showing that the energies of a class of physical excitations of the super-Yang–Mills Theory show the correct symmetry expected from massive Type IIA string Theory in a lightcone quantization.
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Massive IIA string Theory and Matrix Theory compactification
Nuclear Physics B, 2003Co-Authors: David A. Lowe, Horatiu Nastase, Sanjaye RamgoolamAbstract:We propose a Matrix Theory approach to Romans' massive Type IIA supergravity. It is obtained by applying the procedure of Matrix Theory compactifications to Hull's proposal of the Massive Type IIA String Theory as M-Theory on a twisted torus. The resulting Matrix Theory is a super-Yang Mills Theory on large N three-branes with a space dependent non-commutativity parameter, which is also independently derived by a T-duality approach. We give evidence showing that the energies of a class of physical excitations of the super-Yang Mills Theory show the correct symmetry expected from Massive Type IIA string Theory in a lightcone quantization.Comment: 38 pages, latex, references added, some typos fixe
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Statistical Origin of Black Hole Entropy in Matrix Theory
Physical Review Letters, 1998Co-Authors: David A. LoweAbstract:The statistical entropy of black holes in Matrix Theory is considered. Assuming Matrix Theory is the discretized light-cone quantization of a Theory with eleven-dimensional Lorentz invariance, we map the counting problem onto the original Gibbons-Hawking calculations of the thermodynamic entropy. {copyright} {ital 1998} {ital The American Physical Society}
Sanjaye Ramgoolam - One of the best experts on this subject based on the ideXlab platform.
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Linguistic Matrix Theory
arXiv: Computation and Language, 2017Co-Authors: Dimitri Kartsaklis, Sanjaye Ramgoolam, Mehrnoosh SadrzadehAbstract:Recent research in computational linguistics has developed algorithms which associate matrices with adjectives and verbs, based on the distribution of words in a corpus of text. These matrices are linear operators on a vector space of context words. They are used to construct the meaning of composite expressions from that of the elementary constituents, forming part of a compositional distributional approach to semantics. We propose a Matrix Theory approach to this data, based on permutation symmetry along with Gaussian weights and their perturbations. A simple Gaussian model is tested against word matrices created from a large corpus of text. We characterize the cubic and quartic departures from the model, which we propose, alongside the Gaussian parameters, as signatures for comparison of linguistic corpora. We propose that perturbed Gaussian models with permutation symmetry provide a promising framework for characterizing the nature of universality in the statistical properties of word matrices. The Matrix Theory framework developed here exploits the view of statistics as zero dimensional perturbative quantum field Theory. It perceives language as a physical system realizing a universality class of Matrix statistics characterized by permutation symmetry.
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Massive IIA string Theory and Matrix Theory compactification
Nuclear Physics, 2003Co-Authors: David A. Lowe, Horatiu Nastase, Sanjaye RamgoolamAbstract:Abstract We propose a Matrix Theory approach to Romans' massive Type IIA supergravity. It is obtained by applying the procedure of Matrix Theory compactifications to Hull's proposal of the massive Type IIA string Theory as M-Theory on a twisted torus. The resulting Matrix Theory is a super-Yang–Mills Theory on large N three-branes with a space-dependent noncommutativity parameter, which is also independently derived by a T-duality approach. We give evidence showing that the energies of a class of physical excitations of the super-Yang–Mills Theory show the correct symmetry expected from massive Type IIA string Theory in a lightcone quantization.
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Massive IIA string Theory and Matrix Theory compactification
Nuclear Physics B, 2003Co-Authors: David A. Lowe, Horatiu Nastase, Sanjaye RamgoolamAbstract:We propose a Matrix Theory approach to Romans' massive Type IIA supergravity. It is obtained by applying the procedure of Matrix Theory compactifications to Hull's proposal of the Massive Type IIA String Theory as M-Theory on a twisted torus. The resulting Matrix Theory is a super-Yang Mills Theory on large N three-branes with a space dependent non-commutativity parameter, which is also independently derived by a T-duality approach. We give evidence showing that the energies of a class of physical excitations of the super-Yang Mills Theory show the correct symmetry expected from Massive Type IIA string Theory in a lightcone quantization.Comment: 38 pages, latex, references added, some typos fixe
Rajamani Narayanan - One of the best experts on this subject based on the ideXlab platform.
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Overlap Dirac operator, eigenvalues and random Matrix Theory
arXiv: High Energy Physics - Lattice, 2000Co-Authors: Robert G. Edwards, Urs M. Heller, Joe Kiskis, Rajamani NarayananAbstract:Abstract The properties of the spectrum of the overlap Dirac operator and their relation to random Matrix Theory are studied. In particular, the predictions from chiral random Matrix Theory in topologically non-trivial gauge field sectors are tested.
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Overlap Dirac operator, eigenvalues and random Matrix Theory
Nuclear Physics B - Proceedings Supplements, 2000Co-Authors: Robert G. Edwards, Urs M. Heller, Joe Kiskis, Rajamani NarayananAbstract:The properties of the spectrum of the overlap Dirac operator and their relation to random Matrix Theory are studied. In particular, the predictions from chiral random Matrix Theory in topologically non-trivial gauge field sectors are tested.Comment: 3 pages latex with 1 postscript figure. Talk presented at LATTICE99(topology
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QUARK SPECTRA, TOPOLOGY, AND RANDOM Matrix Theory
Physical Review Letters, 1999Co-Authors: Robert G. Edwards, Urs M. Heller, Joe Kiskis, Rajamani NarayananAbstract:Quark spectra in QCD are linked to fundamental properties of the Theory including the identification of pions as the Goldstone bosons of spontaneously broken chiral symmetry. The lattice overlap Dirac operator provides a nonperturbative, ultraviolet-regularized description of quarks with the correct chiral symmetry. Properties of the spectrum of this operator and their relation to random Matrix Theory are studied here. In particular, the predictions from chiral random Matrix Theory in topologically nontrivial gauge field sectors are tested for the first time. {copyright} {ital 1999} {ital The American Physical Society}
Horatiu Nastase - One of the best experts on this subject based on the ideXlab platform.
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Massive IIA string Theory and Matrix Theory compactification
Nuclear Physics, 2003Co-Authors: David A. Lowe, Horatiu Nastase, Sanjaye RamgoolamAbstract:Abstract We propose a Matrix Theory approach to Romans' massive Type IIA supergravity. It is obtained by applying the procedure of Matrix Theory compactifications to Hull's proposal of the massive Type IIA string Theory as M-Theory on a twisted torus. The resulting Matrix Theory is a super-Yang–Mills Theory on large N three-branes with a space-dependent noncommutativity parameter, which is also independently derived by a T-duality approach. We give evidence showing that the energies of a class of physical excitations of the super-Yang–Mills Theory show the correct symmetry expected from massive Type IIA string Theory in a lightcone quantization.
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Massive IIA string Theory and Matrix Theory compactification
Nuclear Physics B, 2003Co-Authors: David A. Lowe, Horatiu Nastase, Sanjaye RamgoolamAbstract:We propose a Matrix Theory approach to Romans' massive Type IIA supergravity. It is obtained by applying the procedure of Matrix Theory compactifications to Hull's proposal of the Massive Type IIA String Theory as M-Theory on a twisted torus. The resulting Matrix Theory is a super-Yang Mills Theory on large N three-branes with a space dependent non-commutativity parameter, which is also independently derived by a T-duality approach. We give evidence showing that the energies of a class of physical excitations of the super-Yang Mills Theory show the correct symmetry expected from Massive Type IIA string Theory in a lightcone quantization.Comment: 38 pages, latex, references added, some typos fixe
Robert G. Edwards - One of the best experts on this subject based on the ideXlab platform.
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Overlap Dirac operator, eigenvalues and random Matrix Theory
arXiv: High Energy Physics - Lattice, 2000Co-Authors: Robert G. Edwards, Urs M. Heller, Joe Kiskis, Rajamani NarayananAbstract:Abstract The properties of the spectrum of the overlap Dirac operator and their relation to random Matrix Theory are studied. In particular, the predictions from chiral random Matrix Theory in topologically non-trivial gauge field sectors are tested.
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Overlap Dirac operator, eigenvalues and random Matrix Theory
Nuclear Physics B - Proceedings Supplements, 2000Co-Authors: Robert G. Edwards, Urs M. Heller, Joe Kiskis, Rajamani NarayananAbstract:The properties of the spectrum of the overlap Dirac operator and their relation to random Matrix Theory are studied. In particular, the predictions from chiral random Matrix Theory in topologically non-trivial gauge field sectors are tested.Comment: 3 pages latex with 1 postscript figure. Talk presented at LATTICE99(topology
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QUARK SPECTRA, TOPOLOGY, AND RANDOM Matrix Theory
Physical Review Letters, 1999Co-Authors: Robert G. Edwards, Urs M. Heller, Joe Kiskis, Rajamani NarayananAbstract:Quark spectra in QCD are linked to fundamental properties of the Theory including the identification of pions as the Goldstone bosons of spontaneously broken chiral symmetry. The lattice overlap Dirac operator provides a nonperturbative, ultraviolet-regularized description of quarks with the correct chiral symmetry. Properties of the spectrum of this operator and their relation to random Matrix Theory are studied here. In particular, the predictions from chiral random Matrix Theory in topologically nontrivial gauge field sectors are tested for the first time. {copyright} {ital 1999} {ital The American Physical Society}
