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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Communicated by M.R. Douglas
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Mickelsson, J., Pellonpää, JP. Families Index Theorem in Supersymmetric WZW Model and Twisted K-Theory: The SU(2) Case. Commun. Math. Phys. 271, 775–789 (2007). https://doi.org/10.1007/s00220-006-0186-y
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DOI: https://doi.org/10.1007/s00220-006-0186-y