The Dirac-Ramond operator on loops in flat space

Mauro Spera, Tilmann Wurzbacher

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In this paper, a rigorous construction of the S^1 -equivariant Dirac operator (i.e., Dirac– Ramond operator) on the space of (mean zero) loops in R^d is given and its equivariant L^2 - index computed. Essential use is made of infinite tensor product representations of the canonical anticommutation relations algebra.
Original languageEnglish
Pages (from-to)110-139
Number of pages30
JournalJournal of Functional Analysis
Volume197
DOIs
Publication statusPublished - 2003

Keywords

  • Dirac–Ramond operator
  • Equivariant L^2 -index
  • Infinite tensor products
  • Spinors on loop spaces

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