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Comments on BRST quantization of strings

Ben Craps1 and Kostas Skenderis1

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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.

Keywords

Topological Strings

BRST Quantization

Bosonic Strings

Conformal Field Models in String Theory

 

E-print Number: hep-th/0503038

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

11.10.Cd Axiomatic approach

11.10.Lm Nonlinear or nonlocal theories and models

Subjects

Particle physics and field theory

Dates

Issue 05 (May 2005)

Received 15 March 2005, accepted for publication 12 April 2005

Published 2 May 2005



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