Communications in Mathematical Physics

, Volume 90, Issue 2, pp 161–173

Supersymmetry and the Atiyah-Singer index theorem

  • Luis Alvarez-Gaumé

DOI: 10.1007/BF01205500

Cite this article as:
Alvarez-Gaumé, L. Commun.Math. Phys. (1983) 90: 161. doi:10.1007/BF01205500


Using a recently introduced index for supersymmetric theories, we present a simple derivation of the Atiyah-Singer index theorem for classical complexes and itsG-index generalization using elementary properties of quantum mechanical supersymmetric systems.

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Luis Alvarez-Gaumé
    • 1
  1. 1.Joseph Henry LaboratoriesPrinceton UniversityPrincetonUSA
  2. 2.Lyman Laboratory of PhysicsHarvard UniversityCambridgeUSA