Pure and Applied Mathematics Quarterly
Volume 15 (2019)
Special Issue on Super Riemann Surfaces and String Theory
Guest Editor: Edward Witten
Perturbative superstring theory revisited
Pages: 213 – 516
Perturbative superstring theory is revisited, with the goal of giving a simpler and more direct demonstration that multiloop amplitudes are gauge-invariant (apart from known anomalies), satisfy space-time supersymmetry when expected, and have the expected infrared behavior. The main technical tool is to make the whole analysis, including especially those arguments that involve integration by parts, on supermoduli space, rather than after descending to ordinary moduli space.
Research partly supported by NSF grant PHY-0969448. I thank N. Berkovits, L. Brink, P. Goddard, J. Maldacena, V. Pestun, J. Polchinski, M. Rangamani, A. Sen, N. Seiberg, H. Verlinde, and B. Zwiebach and especially K. Becker, P. Deligne, G. Moore, D. Robbins, B. Safdi, and C. Thorn for helpful comments and discussions. M. Turansick assisted with the figures.
Received 6 September 2018
Published 2 April 2019