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Superspace formulation of the Chern character of a theta-summable Fredholm module

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Abstract

We apply the concepts of superanalysis to present an intrinsically supersymmetric formulation of the Chern character in entire cyclic cohomology. We show that the cocycle condition is closely related to the invariance under supertranslations. Using the formalism of superfields, we find a path integral representation of the index of the generalized Dirac operator.

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Authors and Affiliations

  1. Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA

    Andrzej Lesniewski

  2. Department of Mathematics, ETH, 8092, Zürich, Switzerland

    Konrad Osterwalder

Authors
  1. Andrzej Lesniewski
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  2. Konrad Osterwalder
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Additional information

Communicated by A. Jaffe

Supported in part by the Department of Energy under grant DE-FG02-88ER25065

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Lesniewski, A., Osterwalder, K. Superspace formulation of the Chern character of a theta-summable Fredholm module. Commun.Math. Phys. 168, 643–650 (1995). https://doi.org/10.1007/BF02101847

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  • DOI: https://doi.org/10.1007/BF02101847

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