Noncommutative Differential Calculus for D-brane in Non-Constant B Field Background
arXiv:hep-th/0105191 · doi:10.1103/PhysRevD.64.126002
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.
21 pages, Latex file, references added, minor modification
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- Braided Symmetries in Noncommutative Field Theory
- Noncommutative Field Theory on Homogeneous Gravitational Waves
- Non-commutative gauge theory on D-branes in Melvin Universes
- Diffeomorphism covariant star products and noncommutative gravity
- Noncommutative gauge theory using covariant star product defined between Lie-valued differential forms
- Non-commutative tachyon action and D-brane geometry
- A Star Product for Differential Forms on Symplectic Manifolds
- On Supergravity Solutions of Branes in Melvin Universes
- Tensor calculus on noncommutative spaces
- Gauge field theories with covariant star-product
- Covariant star product on symplectic and Poisson spacetime manifolds
- Dynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first variation, and the equations of motion for D-branes --- with remarks on the non-Abelian Chern-Simons/Wess-Zumino term
- Conformal Anomalies in Noncommutative Gauge Theories
- Noncommutativity Parameter As a Field on the String Worldsheet