Families index theorem in supersymmetric WZW model and twisted K-theory
Abstract
The construction of twisted K-theory classes on a compact Lie group is reviewed using the supersymmetric Wess-Zumino-Witten model on a cylinder. The Quillen superconnection is introduced for a family of supercharges and the Chern character for the family is given and its relation to twisted cohomology is discussed.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2005
- DOI:
- 10.48550/arXiv.hep-th/0504063
- arXiv:
- arXiv:hep-th/0504063
- Bibcode:
- 2005hep.th....4063M
- Keywords:
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- High Energy Physics - Theory;
- Mathematics - Algebraic Topology
- E-Print:
- Invited talk at "Problemi Attuali di Fisica Teorica", Vietri sul Mare, March 24, 2005. 12 pages AmsTex