Noncommutative Differential Calculus for D - brane in Non - Constant B Field Background Pei - Ming Ho , Shun -
نویسنده
چکیده
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.
منابع مشابه
Noncommutative Differential Calculus for D - brane in Non - Constant B Field Background
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 b...
متن کاملNoncommutative D-Brane in Non-Constant NS-NS B Field Background
We show that when the field strength H of the NS-NS B field does not vanish, the coordinates X and momenta P of an open string endpoints satisfy a set of mixed commutation relations among themselves. Identifying X and P with the coordinates and derivatives of the D-brane world volume, we find a new type of noncommutative spaces which is very different from those associated with a constant B fie...
متن کاملNoncommutative Geometry and D - Branes
We apply noncommutative geometry to a system of N parallel D-branes, which is interpreted as a quantum space. The Dirac operator defining the quantum differential calculus is identified to be the zero-momentum mode of the supercharge for strings connecting D-branes. As a result of the calculus, Connes' Yang-Mills action functional on the quantum space reproduces the dimensionally reduced U(N) s...
متن کاملConsistent Quantization of Noncommutative D-brane in Non-constant B Field Background
We perform the consistent quantization of open string D-brane in nonconstant NS-NS closed string B field background by directly imposing the worldsheet conformal symmetry. In addition to the previous noncommutative D-brane coordinates quantization with constant noncommutative parameter θ, we obtain a set of constraints on the B field. Noncommutative, D-brane. Typeset using REVTEX ∗e-mail: jccle...
متن کاملNoncommutative D-brane in a nonconstant NS-NS B field background.
We show that, when the field strength H of the NS-NS B field does not vanish, the coordinates x and momenta p of open string end points satisfy a set of mixed commutation relations among themselves. Identifying x and p with the coordinates and derivatives of the D-brane world volume, we find a new type of noncommutative space which is very different from those associated with a constant B field...
متن کامل