Two-Loop Superstrings III, Slice Independence and Absence of Ambiguities
arXiv:hep-th/0111016 · doi:10.1016/S0550-3213(02)00432-7
Abstract
The chiral superstring measure constructed in the earlier papers of this series for general gravitino slices is examined in detail for slices supported at two points x_α. In this case, the invariance of the measure under infinitesimal changes of gravitino slices established previously is strengthened to its most powerful form: the measure is shown, point by point on moduli space, to be locally and globally independent from the points x_α, as well as from the superghost insertion points p_a, q_αintroduced earlier as computational devices. In particular, the measure is completely unambiguous. The limit x_α= q_αis then well defined. It is of special interest, since it elucidates some subtle issues in the construction of the picture-changing operator Y(z) central to the BRST formalism. The formula for the chiral superstring measure in this limit is derived explicitly.
20 pages, no figures
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