Abstract
Polyakov's prescription for fermionic closed string amplitudes requires that we integrate over gauge-inequivalent geometries on a 2D supermanifold. These inequivalent geometries are parametrized by a finite-dimensional superspace of moduli. This space is described and an integration measure on it is proposed which comesfrom gauge-fixing the heterotic string. The measure thus obtained is free of conformal and Lorentz anomalies and so canbr used to compute invariant string amplitudes.
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