Supersymmetry and the Atiyah-Singer index theorem

@article{AlvarezGaum1983SupersymmetryAT,
  title={Supersymmetry and the Atiyah-Singer index theorem},
  author={Lu{\'i}s Alvarez-Gaum{\'e}},
  journal={Communications in Mathematical Physics},
  year={1983},
  volume={90},
  pages={161-173}
}
  • L. Alvarez-Gaumé
  • Published 1 June 1983
  • Physics, Mathematics
  • Communications in Mathematical Physics
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. 
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384 Citations
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384 Citations

SUPERSYMMETRIC DERIVATION OF THE ATIYAH-SINGER INDEX AND THE CHIRAL ANOMALY
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SummaryThe purpose of this paper is to give two heat equation proofs of the Index Theorem of Atiyah-Singer for a family of Dirac operators.
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