Families Index Theorem in Supersymmetric WZW Model and Twisted K-Theory: The SU(2) Case |
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| Authors: | Jouko Mickelsson Juha-Pekka Pellonpää |
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| Affiliation: | (1) Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014 Helsinki, Finland;(2) Mathematical Physics, KTH, Stockholm, SE-10691, Sweden;(3) Department of Physics, University of Turku, FI-20014 Turku, Finland |
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| 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 parametrized by a compact Lie group and the Chern character is explicitly computed in the case of SU(2). For large euclidean time, the character form is localized on a D-brane. |
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