Noncommutative Differential Calculus for D-brane in Non-Constant B Field Background

Details Noncommutative Differential Calculus for D-brane in Non-Constant B Field Background Noncommutative Differential Calculus for D-brane in Non-Constant B Field Background

2001-05-19

arxiv.org/abs/hep-th/0105191v3

Phys.Rev.D64:126002,2001

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex file, references added, minor modification

Scientific paper

10.1103/PhysRevD.64.126002

In this paper we try to construct noncommutative Yang-Mills theory for generic Poisson manifolds. It turns out that the noncommutative differential calculus defined in an old work is exactly what we need. Using this calculus, we generalize results about the Seiberg-Witten map, the Dirac-Born-Infeld action, the matrix model and the open string quantization for constant B field to non-constant background with H=0.

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