### 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 a nonconstant background with H=0.

Original language | English |
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Article number | 126002 |

Journal | Physical Review D |

Volume | 64 |

Issue number | 12 |

Publication status | Published - 2001 Dec 15 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*64*(12), [126002].

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*Physical Review D*, vol. 64, no. 12, 126002.

**Noncommutative differential calculus for a D-brane in a nonconstant B field background with H=0.** / Ho, Pei Ming; Miao, Shun-Pei.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Noncommutative differential calculus for a D-brane in a nonconstant B field background with H=0

AU - Ho, Pei Ming

AU - Miao, Shun-Pei

PY - 2001/12/15

Y1 - 2001/12/15

N2 - 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 a nonconstant background with H=0.

AB - 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 a nonconstant background with H=0.

UR - http://www.scopus.com/inward/record.url?scp=0035893893&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035893893&partnerID=8YFLogxK

M3 - Article

VL - 64

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 12

M1 - 126002

ER -