Witten's Open String Field Theory in Constant B-Field Background

Abstract

In this paper we consider Witten's bosonic open string field theory in the presence of a constant background of the second-rank antisymmetric tensor field $B_{ij}$. We extend the operator formulation of Gross and Jevicki in this situation and construct the overlap vertices explicitly. As a result we find a noncommutative structure of the Moyal type only in the zero-mode sector, which is consistent with the result of the correlation functions among vertex operators in the world sheet formulation. Furthermore we find out a certain unitary transformation of the string field which absorbs the Moyal type noncommutative structure. It can be regarded as a microscopic origin of the transformation between the gauge fields in commutative and noncommutative gauge theories discussed by Seiberg and Witten.

35 pages, LaTeX, no figures, Arguments about string coupling constants are modified. final version to be published in JHEP

References in corpus (4)

• D-branes and Deformation Quantization
• Noncommutative Yang-Mills in IIB Matrix Model
• Derivative corrections to Dirac-Born-Infeld Lagrangian and non-commutative gauge theory
• On Open String Sigma-Model and Noncommutative Gauge Fields

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