Supersymmetry and the Atiyah-Singer Index Theorem I: Peierls Brackets, Green's Functions, and a Supersymmetric Proof of the Index Theorem

Details Supersymmetry and the Atiyah-Singer Index Theorem I: Peierls Brackets, Green's Functions, and a Supersymmetric Proof of the Index Theorem Supersymmetry and the Atiyah-Singer Index Theorem I: Peierls Brackets, Green's Functions, and a Supersymmetric Proof of the Index Theorem

1993-09-10

arxiv.org/abs/hep-th/9309059v1

J.Math.Phys. 35 (1994) 1095-1124

Physics

High Energy Physics

High Energy Physics - Theory

47 pages

Scientific paper

10.1063/1.530630

The Peierls bracket quantization scheme is applied to the supersymmetric
system corresponding to the twisted spin index theorem. A detailed study of the
quantum system is presented, and the Feynman propagator is exactly computed.
The Green's function methods provide a direct derivation of the index formula.
Note: This is essentially a new SUSY proof of the index theorem.

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