Approach to general covariance in string space of BRST string field theory

Details Approach to general covariance in string space of BRST string field theory Approach to general covariance in string space of BRST string field theory

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.2317g&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 8, 15 April 1989, pp.2317-2321

Physics

1

Fundamental Problems And General Formalism

Scientific paper

We show that Becchi-Rouet-Stora-Tyutin (BRST) quantized string field theory can be made invariant under string-dependent general coordinate transformations &[x(σ)], where μ=0,1,...,D-1 and 0<=σ1<=π. This invariance is achieved by introducing a string-space metric tensor &[x(σ)] and following the usual steps of general relativity, with the following differences: A constraint, which we term ``tangent contravariance,'' must be imposed on the coordinate transformations and metric tensor. This restriction emerges from requiring that ∂σxμ transforms in string space as a contravariant vector. Further stringent constraints on the metric tensor, including Ricci flatness, arise from demanding nilpotence of the BRST charge.

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