The Dirac–Ramond operator on loops in flat space

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 relat...

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Bibliographic Details
Published in:Journal of functional analysis 2003-01, Vol.197 (1), p.110-139
Main Authors: Spera, Mauro, Wurzbacher, Tilmann
Format: Article
Language:English
Subjects:
Dirac–Ramond operator
Equivariant L2-index
Infinite tensor products
Spinors on loop spaces
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Summary: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.
ISSN:0022-1236
1096-0783
DOI:10.1016/S0022-1236(02)00178-7