On the holomorphic factorization for superconformal fields

Abstract

For a generic value of the central charge, we prove the holomorphic factorization of partition functions for free superconformal fields which are defined on a compact Riemann surface without boundary. The partition functions are viewed as functionals of the Beltrami coefficients and their fermionic partners which variables parametrize superconformal classes of metrics.

5 pages, LATEX, MPI-Ph/92-78

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