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

AN - SCOPUS:0035893893

VL - 64

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 12

M1 - 126002

ER -