# Families Index Theorem in Supersymmetric WZW Model and Twisted K-Theory: The SU(2) Case

@article{Mickelsson2005FamiliesIT,
title={Families Index Theorem in Supersymmetric WZW Model and Twisted K-Theory: The SU(2) Case},
author={Jouko Mickelsson and Juha-Pekka Pellonp{\"a}{\"a}},
journal={Communications in Mathematical Physics},
year={2005},
volume={271},
pages={775-789}
}
• Published 7 April 2005
• Mathematics, Physics
• Communications in Mathematical Physics
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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