Supersymmetry and the Atiyah-Singer index theorem. 1: Peierls brackets, Green's functions, and a supersymmetric proof of the index theorem

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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