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

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

2005-09-09

arxiv.org/abs/hep-th/0509064v2

Commun.Math.Phys.271:775-789,2007

Physics

High Energy Physics

High Energy Physics - Theory

Version 2: Essentially simplified proof of the main result using a map from twisted K-theory to gerbes modulo the twisting ger

Scientific paper

10.1007/s00220-006-0186-y

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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