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Supersymmetry and localization

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Abstract

We study conditions under which an odd symmetry of the integrand leads to localization of the corresponding integral over a (super)manifold. We also show that in many cases these conditions guarantee exactness of the stationary phase approximation of such integrals.

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Author notes

  1. Oleg Zaboronsky

    Present address: Institute of Theoretical and Experimental Physics, Moscow, Russia

Authors and Affiliations

  1. Department of Mathematics, University of California, 95616, Davis, CA, USA

    Albert Schwarz & Oleg Zaboronsky

Authors
  1. Albert Schwarz
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  2. Oleg Zaboronsky
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Additional information

Communicated by H. Araki

Research is partially supported by NSF grant No. DMS-9500704.

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Schwarz, A., Zaboronsky, O. Supersymmetry and localization. Commun.Math. Phys. 183, 463–476 (1997). https://doi.org/10.1007/BF02506415

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  • DOI: https://doi.org/10.1007/BF02506415

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