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The rotation-equivariant index of the Dirac-Ramond operator in the flat case

  • Tilmann Wurzbacher (Université de Metz et C.N.R.S., Laboratoire de Mathématiques, France)
A3 01 (Sophus-Lie room)

Abstract

We give rigorous construction of the S1-equivariant Dirac operator (i.e., Dirac-Ramond operator) on the space of (mean zero) loops in Rd and compute its equivariant L2-index. Essential use is made of infinite tensor product representations of the Canonical Anticommutation Relations algebra.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail