English

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

High Energy Physics - Theory 2009-05-12 v3

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0105191,
  title  = {Noncommutative Differential Calculus for D-brane in Non-Constant B Field Background},
  author = {Pei-Ming Ho and Shun-Pei Miao},
  journal= {arXiv preprint arXiv:hep-th/0105191},
  year   = {2009}
}

Comments

21 pages, Latex file, references added, minor modification

R2 v1 2026-07-22T15:04:16.523Z