Open String Field Theory on Noncommutative Space

Details Open String Field Theory on Noncommutative Space Open String Field Theory on Noncommutative Space

1999-12-30

arxiv.org/abs/hep-th/9912274v2

Prog.Theor.Phys. 104 (2000) 459-476

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, lanlmac, references added

Scientific paper

10.1143/PTP.104.459

We study Witten's open string field theory in the presence of a constant B field. We construct the string field theory in the operator formalism and find that, compared to the ordinary theory with no B field, the vertices in the resulting theory has an additional factor. The factor makes the zero modes of strings noncommutative. This is in agreement with the results in the first-quantized formulation. We also discuss background independence of the purely cubic action derived from the above string field theory and then find a redefinition of string fields to remove the additional factor from the vertex. Furthermore, we briefly discuss the supersymmetric extension of our string field theory.

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