The Dirac-ramond Operator on Loops in at Space Introduction 1. the Dirac-ramond Operator: a Heuristic Approach 2. Algebraic and Analytic Preliminaries 2.1 Incomplete Direct Products
نویسنده
چکیده
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 innnite direct product representations of the Canonical Anticommutation Relations algebra.
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