String field theory at large B-field and noncommutative geometry
arXiv:hep-th/0010034 · doi:10.1088/1126-6708/2000/11/031
Abstract
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.
12 pages, JHEP style, v2: minor corrections, reference added, v3: few typos in formulas corrected
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- Quantum deformation of cubic string field theory
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- Moyal Representation of the String Field Star Product in the Presence of a B-background
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