The Dirac-Ramond operator on loops in flat space

Mauro Spera, Tilmann Wurzbacher

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

4 Citazioni (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.
Lingua originaleEnglish
pagine (da-a)110-139
Numero di pagine30
RivistaJournal of Functional Analysis
Volume197
DOI
Stato di pubblicazionePubblicato - 2003

Keywords

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

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