Developing the Covariant Batalin-Vilkovisky approach to String Theory

Details Developing the Covariant Batalin-Vilkovisky approach to String Theory Developing the Covariant Batalin-Vilkovisky approach to String Theory

1993-01-23

arxiv.org/abs/hep-th/9301097v2

Annals Phys. 229 (1994) 177-216

Physics

High Energy Physics

High Energy Physics - Theory

39 pp. MIT-CTP-2184. --Extra references added--

Scientific paper

10.1006/aphy.1994.1006

We investigate the variation of the string field action under changes of the string field vertices giving rise to different decompositions of the moduli spaces of Riemann surfaces. We establish that any such change in the string action arises from a field transformation canonical with respect to the Batalin-Vilkovisky (BV) antibracket, and find the explicit form of the generator of the infinitesimal transformations. Two theories using different decompositions of moduli space are shown to yield the same gauge fixed action upon use of different gauge fixing conditions. We also elaborate on recent work on the covariant BV formalism, and emphasize the necessity of a measure in the space of two dimensional field theories in order to extend a recent analysis of background independence to quantum string field theory.

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