Comments on BRST quantization of strings

Details Comments on BRST quantization of strings Comments on BRST quantization of strings

2005-03-04

arxiv.org/abs/hep-th/0503038v2

JHEP 0505 (2005) 001

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, latex; v2: typos fixed, footnote and reference added

Scientific paper

10.1088/1126-6708/2005/05/001

The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the ghost sector are taken into account by using the Batalin-Vilkovisky formalism. This involves promoting the moduli of Riemann surfaces to quantum mechanical variables on which BRST transformations act. The familiar ghost and antighost zero mode insertions are recovered upon integrating out auxiliary fields. In contrast to the usual treatment, the gauge-fixed action including all zero mode insertions is BRST invariant. Possible anomalous contributions to BRST Ward identities due to boundaries of moduli space are reproduced in a novel way. Two models are discussed explicitly: bosonic string theory and topological gravity coupled to the topological A-model.

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