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Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case

Jouko Mickelsson·Juha-Pekka Pellonpää
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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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Jouko Mickelsson, Juha-Pekka Pellonpää. 2006-06-28. Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case. https://doi.org/10.1007/s00220-006-0186-y

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