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Moyal Deformation of 2D Euler Equation and
"... In this paper we discuss the Moyal deformed 2D Euler flows and its Lax pairs. This in turn yields the semidiscrete version of 2D Euler equation. 1 ..."
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In this paper we discuss the Moyal deformed 2D Euler flows and its Lax pairs. This in turn yields the semidiscrete version of 2D Euler equation. 1
Moyal Deformation, SeibergWittenMap, and Integrable Models
, 2000
"... A covariant formalism for Moyal deformations of gauge theory and differential equations which determine SeibergWitten maps is presented. Replacing the ordinary product of functions by the noncommutative Moyal product, noncommutative versions of integrable models can be constructed. We explore how a ..."
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Cited by 4 (0 self)
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A covariant formalism for Moyal deformations of gauge theory and differential equations which determine SeibergWitten maps is presented. Replacing the ordinary product of functions by the noncommutative Moyal product, noncommutative versions of integrable models can be constructed. We explore how
Extension of Moyaldeformed hierarchies of soliton equations
 in Proceedings of the XIth International Conference Symmetry Methods in Physics
, 2004
"... Moyaldeformed hierarchies of soliton equations can be extended to larger hierarchies by including additional evolution equations with respect to the deformation parameters. A general framework is presented in which the extension is universally determined and which applies to several deformed hierar ..."
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Cited by 5 (1 self)
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Moyaldeformed hierarchies of soliton equations can be extended to larger hierarchies by including additional evolution equations with respect to the deformation parameters. A general framework is presented in which the extension is universally determined and which applies to several deformed
On the Moyal deformation of Nahm Equations in seven dimensions 1
"... We show how the reduced (anti)selfdual YangMills equations in seven dimensions described by the Nahm equations can be carried over to the WeylWignerMoyal formalism. In the process some new solutions for the cases of gauge groups SU(2) and SL(2, R) are explicitly obtained. ..."
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We show how the reduced (anti)selfdual YangMills equations in seven dimensions described by the Nahm equations can be carried over to the WeylWignerMoyal formalism. In the process some new solutions for the cases of gauge groups SU(2) and SL(2, R) are explicitly obtained.
Bicomplex formulation and Moyal deformation of 2 + 1dimensional FordyKulish systems
, 2000
"... Using bicomplex formalism we construct generalizations of FordyKulish systems of matrix nonlinear Schrödinger equations on twodimensional spacetime in two respects. Firstly, we obtain corresponding equations in three spacetime dimensions. Secondly, a Moyal deformation is applied to the spacetim ..."
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Using bicomplex formalism we construct generalizations of FordyKulish systems of matrix nonlinear Schrödinger equations on twodimensional spacetime in two respects. Firstly, we obtain corresponding equations in three spacetime dimensions. Secondly, a Moyal deformation is applied to the space
Branes from Moyal deformation quantization of generalized YangMills ” [arXiv.org
 Gravity 18, L17
, 2001
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VACBT/05/12, GNPHE/05/12 and IC/2005 SOME ASPECTS OF MOYAL DEFORMED INTEGRABLE SYSTEMS
, 2005
"... Besides its various applications in string and Dbrane physics, the θdeformation of space (time) coordinates (naively called the noncommutativity of coordinates), based on the ⋆product, behaves as a more general framework providing more mathematical and physical informations about the associated ..."
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system. Similarly to the GelfandDickey framework of pseudo differential operators, the Moyal θdeformation applied to physical problems makes the study more systematic. Using these facts as well as the backgrounds of Moyal momentum algebra introduced in previous works [21, 25, 26], we look
String theory and noncommutative geometry
 JHEP
, 1999
"... We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from ..."
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Cited by 801 (8 self)
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We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from this limit. Our analysis leads us to an equivalence between ordinary gauge fields and noncommutative gauge fields, which is realized by a change of variables that can be described explicitly. This change of variables is checked by comparing the ordinary DiracBornInfeld theory with its noncommutative counterpart. We obtain a new perspective on noncommutative gauge theory on a torus, its Tduality, and Morita equivalence. We also discuss the D0/D4 system, the relation to Mtheory in DLCQ, and a possible noncommutative version of the sixdimensional (2, 0) theory. 8/99
A MOYAL QUANTIZATION OF THE CONTINUOUS TODA FIELD
, 1997
"... Since the lightcone self dual spherical membrane, moving in flat target backgrounds, has a direct correspondence with the SU(∞) Nahm equations and the continuous Toda theory, we construct the Moyal deformations of the self dual membrane in terms of the Moyal deformations of the continuous Toda theor ..."
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Since the lightcone self dual spherical membrane, moving in flat target backgrounds, has a direct correspondence with the SU(∞) Nahm equations and the continuous Toda theory, we construct the Moyal deformations of the self dual membrane in terms of the Moyal deformations of the continuous Toda
Results 1  10
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2,758