String field theory at large B-field and noncommutative geometry

Details String field theory at large B-field and noncommutative geometry String field theory at large B-field and noncommutative geometry

2000-10-05

arxiv.org/abs/hep-th/0010034v3

JHEP 0011 (2000) 031

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, JHEP style, v2: minor corrections, reference added, v3: few typos in formulas corrected

Scientific paper

10.1088/1126-6708/2000/11/031

In the search for the exact minimum of the tachyon potential in the Witten's cubic string field theory we try to learn as much as possible from the string field theory in the large B-field background. We offer a simple alternative proof of the Witten's factorization, carry out the analysis of string field equations also for the noncommutative torus and find some novel relations to the algebraic K-theory. We note an intriguing relation between Chern-Simons and Chern classes of two noncommutative bundles. Finally we observe a certain pattern which enables us to make a plausible conjecture about the exact form of the minimum.

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