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Comments on BRST quantization of strings

Author(s) -

Ben Craps,

Kostas Skenderis

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/05/001

Subject(s) - brst quantization , moduli space , path integral formulation , physics , quantization (signal processing) , mathematical physics , invariant (physics) , riemann surface , gauge theory , topology (electrical circuits) , quantum , quantum mechanics , mathematics , pure mathematics , algorithm , combinatorics

The BRST quantization of strings is revisited and the derivation of the pathintegral measure for scattering amplitudes is streamlined. Gauge invariancesdue to zero modes in the ghost sector are taken into account by using theBatalin-Vilkovisky formalism. This involves promoting the moduli of Riemannsurfaces to quantum mechanical variables on which BRST transformations act. Thefamiliar ghost and antighost zero mode insertions are recovered uponintegrating out auxiliary fields. In contrast to the usual treatment, thegauge-fixed action including all zero mode insertions is BRST invariant.Possible anomalous contributions to BRST Ward identities due to boundaries ofmoduli space are reproduced in a novel way. Two models are discussedexplicitly: bosonic string theory and topological gravity coupled to thetopological A-model.Comment: 23 pages, latex; v2: typos fixed, footnote and reference adde

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