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23,513
A noncommutative version of the nonlinear
, 2000
"... We apply a (Moyal) deformation quantization to a bicomplex associated with the classical nonlinear Schrödinger equation. This induces a deformation of the latter equation to noncommutative spacetime while preserving the existence of an infinite set of conserved quantities. 1 ..."
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We apply a (Moyal) deformation quantization to a bicomplex associated with the classical nonlinear Schrödinger equation. This induces a deformation of the latter equation to noncommutative spacetime while preserving the existence of an infinite set of conserved quantities. 1
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 791 (8 self)
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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
Towards a noncommutative version of Gravitation
 AIP Conference Proceedings 1241 (2010) 588–594, arXiv:1003.5407
"... ar ..."
A NONCOMMUTATIVE VERSION OF THE FEJÉRRIESZ THEOREM
, 908
"... Abstract. Let X be the unital ∗algebra generated by the unilateral shift operator. It is shown that for any nonnegative operator X ∈ X there is an element Y ∈ X such that X = Y ∗ Y. 1. Introduction and Main Result Let P denote the ∗algebra of complex Laurent polynomials p(z, z −1) = ∑ n k=−n akz ..."
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Cited by 3 (0 self)
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Abstract. Let X be the unital ∗algebra generated by the unilateral shift operator. It is shown that for any nonnegative operator X ∈ X there is an element Y ∈ X such that X = Y ∗ Y. 1. Introduction and Main Result Let P denote the ∗algebra of complex Laurent polynomials p(z, z −1) = ∑ n k=−n akz k with involution p → p(z): = ∑ n k=−n akz −k, where n ∈
A Noncommutative version of the minimal supersymmetric standard model
 Eur. Phys. J. C
"... A minimal supersymmetric standard model on noncommutative spacetime (NC MSSM) is proposed. The model fulfils the requirements of noncommutative gauge invariance and absence of anomaly. The existence of supersymmetry with a scale of its breaking lower than the noncommutative scale is crucial in orde ..."
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Cited by 1 (0 self)
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A minimal supersymmetric standard model on noncommutative spacetime (NC MSSM) is proposed. The model fulfils the requirements of noncommutative gauge invariance and absence of anomaly. The existence of supersymmetry with a scale of its breaking lower than the noncommutative scale is crucial
A noncommutative version of the BanachStone theorem (II).
, 2001
"... In this paper, we extend the BanachStone theorem to the non commutative case, i.e, we give a partial answere to the question 2.1 of [13], and we prove that the structure of the postliminal C ∗algebras A determines the topology of its primitive ideals space. ..."
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In this paper, we extend the BanachStone theorem to the non commutative case, i.e, we give a partial answere to the question 2.1 of [13], and we prove that the structure of the postliminal C ∗algebras A determines the topology of its primitive ideals space.
Noncommutative Version of (Anti)SelfDual YangMills Equations
, 2000
"... A noncommutative version of the (anti) selfdual YangMills equations is shown to be related via dimensional reductions to noncommutative formulations of the generalized (SO(3)/SO(2)) nonlinear Schrödinger (NS) equations, of the super Korteweg de Vries (superKdV) as well as of the matrix KdV equ ..."
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A noncommutative version of the (anti) selfdual YangMills equations is shown to be related via dimensional reductions to noncommutative formulations of the generalized (SO(3)/SO(2)) nonlinear Schrödinger (NS) equations, of the super Korteweg de Vries (superKdV) as well as of the matrix Kd
Probabilistic derivation of a noncommutative version of Varadhan’s Theorem, to appear
 Proceedings of the Royal Irish Academy, (2006). FOR LARGE SYSTEMS OF RANDOM WALKS 41
"... We give a simple probabilistic derivation of a special case of a noncommutative version of Varadhan’s theorem, first proved by Petz, Raggio and Verbeure. It is based on a FeynmanKac representation combined with a standard large deviation argument. In the final section, this theorem is then extende ..."
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Cited by 3 (1 self)
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We give a simple probabilistic derivation of a special case of a noncommutative version of Varadhan’s theorem, first proved by Petz, Raggio and Verbeure. It is based on a FeynmanKac representation combined with a standard large deviation argument. In the final section, this theorem
Results 1  10
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23,513