Vacuum string field theory without matter-ghost factorization

Details Vacuum string field theory without matter-ghost factorization Vacuum string field theory without matter-ghost factorization

2005-03-07

arxiv.org/abs/hep-th/0503068v2

JHEP 0506 (2005) 032

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 1 figure, LaTeX2e; v2: one reference added, minor changes

Scientific paper

10.1088/1126-6708/2005/06/032

We show that vacuum string field theory with the singular kinetic operator conjectured by Gaiotto, Rastelli, Sen and Zwiebach can be obtained by field redefinition from a regular theory constructed by Takahashi and Tanimoto. We solve the equation of motion both by level truncation and by a series expansion using the regulated butterfly state, and we find evidence that the energy density of a D25-brane is well defined and finite. Although the equation of motion naively factorizes into the matter and ghost sectors in the singular limit, subleading terms in the kinetic operator are relevant and the factorization does not strictly hold. Nevertheless, solutions corresponding to different D-branes can be constructed by changing the boundary condition in the boundary conformal field theory formulation of string field theory, and ratios of D-brane tensions are shown to be reproduced correctly.

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