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Vacuum string field theory without matter-ghost factorization
Author(s) -
Nadav Drukker,
Yuji Okawa
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/06/032
Subject(s) - string field theory , physics , factorization , boundary (topology) , mathematical physics , conformal field theory , operator (biology) , string theory , string (physics) , brane , field (mathematics) , non critical string theory , boundary value problem , field theory (psychology) , string cosmology , conformal map , theoretical physics , relationship between string theory and quantum field theory , mathematics , quantum mechanics , mathematical analysis , pure mathematics , quantum gravity , biochemistry , chemistry , algorithm , repressor , transcription factor , quantum , gene
We show that vacuum string field theory with the singular kinetic operatorconjectured by Gaiotto, Rastelli, Sen and Zwiebach can be obtained by fieldredefinition from a regular theory constructed by Takahashi and Tanimoto. Wesolve the equation of motion both by level truncation and by a series expansionusing the regulated butterfly state, and we find evidence that the energydensity of a D25-brane is well defined and finite. Although the equation ofmotion naively factorizes into the matter and ghost sectors in the singularlimit, subleading terms in the kinetic operator are relevant and thefactorization does not strictly hold. Nevertheless, solutions corresponding todifferent D-branes can be constructed by changing the boundary condition in theboundary conformal field theory formulation of string field theory, and ratiosof D-brane tensions are shown to be reproduced correctly.Comment: 31 pages, 1 figure, LaTeX2e; v2: one reference added, minor change

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