The Dirac-Ramond operator on loops in flat space |
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| Authors: | Mauro Spera |
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| Affiliation: | a Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Padova, Via Belzoni 7, I-35131 Padova, Italy
b Laboratoire de Mathematiques, Université de Metz et CNRS, Ile du Saulcy, F-57045 Metz, France |
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| Abstract: | In this paper, a rigorous construction of the S1-equivariant Dirac operator (i.e., Dirac-Ramond operator) on the space of (mean zero) loops in  is given and its equivariant L2-index computed. Essential use is made of infinite tensor product representations of the canonical anticommutation relations algebra. |
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| Keywords: | Spinors on loop spaces Dirac-Ramond operator Infinite tensor products Equivariant L2-index |
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