Noncommutative cohomological field theory and GMS soliton
نویسندگان
چکیده
منابع مشابه
Noncommutative Cohomological Field Theory and GMS soliton
We show that it is possible to construct invariant field theory under the translation of noncommutative parameter θμν . This is achieved by noncommutative cohomological field theory. As an example, noncommutative cohomological scalar field theory is constructed, and its partition function is calculated. The partition function is the Euler number of Gopakumar, Minwalla and Strominger (GMS) solit...
متن کاملMatrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory
We construct an approximation to field theories on the noncommutative torus based on soliton projections and partial isometries which together form a matrix algebra of functions on the sum of two circles. The matrix quantum mechanics is applied to the perturbative dynamics of scalar field theory, to tachyon dynamics in string field theory, and to the Hamiltonian dynamics of noncommutative gauge...
متن کاملQuantum Aspects of GMS Solutions of Noncommutative Field
We investigate quantum aspects of Gopakumar-Minwalla-Strominger (GMS) solutions of noncommutative field theory (NCFT) at large noncommutativity limit, θ → ∞. Building up quantitative Weyl-Moyal map between operator formulation of 2-, respectively, (2+1)-dimensional NCFTs and large N matrix models of c = 0, respectively, c = 1 noncritical strings, we show that GMS solutions are quantum mechanica...
متن کاملQuantum Aspects of GMS Solutions of Noncommutative Field Theory and Large N Limit of Matrix Models ∗
We investigate quantum aspects of Gopakumar-Minwalla-Strominger (GMS) solutions of noncommutative field theory (NCFT) at large noncommutativity limit, θ → ∞. Building upon a quantitative map between operator formulation of 2(respectively, (2+1)-) dimensional NCFTs and large N matrix models of c = 0 (respectively, c = 1) noncritical strings, we show that GMS solutions are quantum mechanically se...
متن کاملNoncommutative Cohomological Field Theories and Topological Aspects of Matrix models
We study topological aspects of matrix models and noncommutative cohomological field theories (N.C.CohFT). N.C.CohFT have symmetry under the arbitrary infinitesimal noncommutative parameter θ deformation. This fact implies that N.C.CohFT possess a less sensitive topological property than K-theory, but the classification of manifolds by N.C.CohFT has a possibility to give a new view point of glo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2002
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1418428