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Absence of divergences in type II and heterotic string multi-loop amplitudes

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Abstract

A detailed analysis is given of the two main types of degeneration of Riemann surface of arbitrary genus by domain variational theory. Explicit estimates for first and third Abelian functions are given. These estimates are used to analyse the possible divergences of type II or heterotic superstring multiloop amplitudes for the scattering of massless particles. They are all shown to be finite at arbitrary loop order.

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Authors and Affiliations

  1. Department of Physics, Simon Bolivar University, Caracas

    A. Restuccia

  2. Department of Mathematics, King's College London, WC2R 225, London, United Kingdom

    J. G. Taylor

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  1. A. Restuccia
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  2. J. G. Taylor
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Communicated by L. Alvarez-Gaumé

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Restuccia, A., Taylor, J.G. Absence of divergences in type II and heterotic string multi-loop amplitudes. Commun.Math. Phys. 112, 447–470 (1987). https://doi.org/10.1007/BF01218486

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