Beltrami differentials and 2d (super)gravity in the chiral gauge

Details Beltrami differentials and 2d (super)gravity in the chiral gauge Beltrami differentials and 2d (super)gravity in the chiral gauge

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22..889g&link_type=abstract

General Relativity and Gravitation, Volume 22, Issue 8, pp.889-911

Physics

7

Scientific paper

We consider the Beltrami parametrization of a 2-dimensional metric and work out the basic transformation laws of the constituting fields. These results are then applied to investigate the geometric structure of 2-dimensional gravity in Polyakov's light-cone gauge. Subsequently, we elaborate on the supersymmetric generalization of this theory. The general relation to the superconformai gauge is presented in detail and the corresponding change of coordinates is shown to satisfy simple super Beltrami equations.

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