Momentum Analyticity and Finiteness of the 1-Loop Superstring Amplitude

Abstract

The Type II Superstring amplitude to 1-loop order is given by an integral of $\vartheta$-functions over the moduli space of tori, which diverges for real momenta. We construct the analytic continuation which renders this amplitude well defined and finite, and we find the expected poles and cuts in the complex momentum plane.

10pp, /UCLA/93/TEP/1

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