Index theorems and loop space geometry

  title={Index theorems and loop space geometry},
  author={Antero Hietamaki and Antti J. Niemi},
  journal={Physics Letters B},
Abstract We investigate the evaluation of the Dirac index using symplectic geometry in the loop space of the corresponding supersymmetric quantum mechanical model. In particular, we find that if we impose a simple first class constraint, we can evaluate the Callias index of an odd-dimensional Dirac operator directly from the quantum mechanical model which yields the Atiyah-Singer index of an even-dimensional Dirac operator in one more dimension. The effective action obtained by BRST… Expand
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