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 language | English |
|---|---|
| Number of pages | 1 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 64 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2001 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
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Noncommutative differential calculus for a D-brane in a nonconstant [Formula Presented] field background with [Formula Presented]. / Ho, Pei Ming; Miao, Shun-Pei.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 64, No. 12, 01.01.2001.Research output: Contribution to journal › Article
TY - JOUR
T1 - Noncommutative differential calculus for a D-brane in a nonconstant [Formula Presented] field background with [Formula Presented]
AU - Ho, Pei Ming
AU - Miao, Shun-Pei
PY - 2001/1/1
Y1 - 2001/1/1
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 (Formula presented)
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 (Formula presented)
UR - http://www.scopus.com/inward/record.url?scp=85038277610&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85038277610&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.64.126002
DO - 10.1103/PhysRevD.64.126002
M3 - Article
VL - 64
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 12
ER -