Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-20
Nucl.Phys. B649 (2003) 101-129
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, 4 figures, v2: numerical factors in section 2.3 and Appendix C corrected, report number corrected
Scientific paper
10.1016/S0550-3213(02)01018-0
The reparametrization symmetries of Witten's vertex in ordinary or vacuum string field theories can be used to extract useful information about classical solutions of the equations of motion corresponding to D-branes. It follows, that the vacuum string field theory in general has to be regularized. For the regularization recently considered by Gaiotto et al., we show that the identities we derive, are so constraining, that among all surface states they uniquely select the simplest butterfly projector discovered numerically by those authors. The reparametrization symmetries are also used to give a simple proof that the butterfly states and their generalizations are indeed projectors.
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