Two-Loop Superstrings III, Slice Independence and Absence of Ambiguities

Preprint

1 November 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0111016

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_\alpha. 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_\alpha, as well as from the superghost insertion points p_a, q_\alpha introduced earlier as computational devices. In particular, the measure is completely unambiguous. The limit x_\alpha = q_\alpha is 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.

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Version 1, 2001-11-01, ArXiv
Published version: Nuclear Physics B, 636 (1-2), 61.

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