Open String Field Theory on Noncommutative Space
Author(s) -
Teruhiko Kawano,
Tomohiko Takahashi
Publication year - 2000
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.104.459
Subject(s) - string field theory , physics , relationship between string theory and quantum field theory , noncommutative geometry , non critical string theory , noncommutative quantum field theory , string phenomenology , string cosmology , type i string theory , theoretical physics , heterotic string theory , bosonic string theory , compactification (mathematics) , string theory , formalism (music) , mathematical physics , field theory (psychology) , quantum mechanics , pure mathematics , quantum gravity , mathematics , musical , art , visual arts , quantum
We study Witten's open string field theory in the presence of a constant Bfield. We construct the string field theory in the operator formalism and findthat, compared to the ordinary theory with no B field, the vertices in theresulting theory has an additional factor. The factor makes the zero modes ofstrings noncommutative. This is in agreement with the results in thefirst-quantized formulation. We also discuss background independence of thepurely cubic action derived from the above string field theory and then find aredefinition of string fields to remove the additional factor from the vertex.Furthermore, we briefly discuss the supersymmetric extension of our stringfield theory.Comment: 22 pages, lanlmac, references adde
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