The Dirac-Ramond operator on loops in flat space

Mauro Spera, Tilmann Wurzbacher

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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
Publication statusPublished - 2003


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


Dive into the research topics of 'The Dirac-Ramond operator on loops in flat space'. Together they form a unique fingerprint.

Cite this