On the Berezinian of a moduli space of curves in Pn|n+1
Abstract
A supermanifold P3|4 is a target space for twistor string theory. In this note we identify a line bundle of holomorphic volume elements BerMgP3|4 defined on the moduli space of curves of genus g in P3|4 with a pullback of a line bundle defined on Mg(pt). We also give some generalizations of this fact.
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