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

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

1999-12-27

arxiv.org/abs/hep-th/9912254v4

JHEP 0003 (2000) 017

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2000/03/017

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.

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