Communications in Mathematical Physics

, Volume 90, Issue 2, pp 161-173

First online:

Supersymmetry and the Atiyah-Singer index theorem

  • Luis Alvarez-GauméAffiliated withJoseph Henry Laboratories, Princeton University

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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.