Pure and Applied Mathematics Quarterly

Volume 15 (2019)

Number 1

Special Issue on Super Riemann Surfaces and String Theory

Guest Editor: Edward Witten

Notes on supermanifolds and integration

Pages: 3 – 56

DOI: https://dx.doi.org/10.4310/PAMQ.2019.v15.n1.a1


Edward Witten (School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey, U.S.A.)


These are notes on the theory of supermanifolds and integration on them, aiming to collect results that are useful for a better understanding of superstring perturbation theory in the RNS formalism.

Research supported in part by NSF grant PHY-0969448. I thank P. Deligne for much valuable advice over the years on matters related to supergeometry. Helpful comments on the manuscript have been given by G. Moore, T. Voronov, P. Zhao, and especially D. Robbins and B. Safdi.

Received 6 September 2018

Published 2 April 2019