The geometry of string perturbation theory

Eric D'Hoker and D. H. Phong
Rev. Mod. Phys. 60, 917 – Published 1 October 1988
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Abstract

This paper is devoted to recent progress made towards the understanding of closed bosonic and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean space-time. Special emphasis is put on the fundamental role of Riemann surfaces and supersurfaces. The differential and complex geometry of their moduli space is developed as needed. New results for the superstring presented here include the supergeometric construction of amplitudes, their chiral and superholomorphic splitting and a global formulation of supermoduli space and amplitudes.

    DOI:https://doi.org/10.1103/RevModPhys.60.917

    ©1988 American Physical Society

    Authors & Affiliations

    Eric D'Hoker*

    • Department of Physics, Princeton University, Princeton, New Jersey 08544

    D. H. Phong

    • Department of Mathematics, Columbia University, New York, New York 10027

    • *Present address: Department of Physics, University of California, Los Angeles, CA 90024.

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    Issue

    Vol. 60, Iss. 4 — October - December 1988

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