Noncommutative differential calculus for a D-brane in a nonconstant [Formula Presented] field background with [Formula Presented]

Pei Ming Ho, Shun-Pei Miao

Research output: Contribution to journalArticle

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 (Formula presented)

Original languageEnglish
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume64
Issue number12
DOIs
Publication statusPublished - 2001 Jan 1

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differential calculus
calculus
Yang-Mills theory
strings
matrices

All Science Journal Classification (ASJC) codes

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

Cite this

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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 (Formula presented)",
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