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

Eric D'Hoker·D. H. Phong
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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.

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Eric D'Hoker, D. H. Phong. 2001-11-01. Two-Loop Superstrings III, Slice Independence and Absence of Ambiguities. https://doi.org/10.1016/s0550-3213(02)00432-7

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