String theory and loop space index theorems

Orlando Alvarez, T. P. Killingback, Michelangelo Mangano, Paul Windey

Research output: Contribution to journalArticle

45 Scopus citations

Abstract

We study index theorems for the Dirac-Ramond operator on a compact Riemannian manifold. The existence of a group action on the loop space makes possible the definition of a character valued index which we calculate by using a two-dimensional sigma model with N=1/2 supersymmetry. We compute the Euler characteristic, the Hirzebruch signature and the Dirac-Ramond genus of loop space. We compare our results to the calculations made by using the Atiyah-Singer character-valued index theorem.

Original languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalCommunications in Mathematical Physics
Volume111
Issue number1
DOIs
StatePublished - Mar 1 1987
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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