A1 Refereed original research article in a scientific journal
Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
Authors: Mickelsson J, Pellonpaa JP
Publisher: SPRINGER
Publication year: 2007
Journal:: Communications in Mathematical Physics
Journal name in source: COMMUNICATIONS IN MATHEMATICAL PHYSICS
Journal acronym: COMMUN MATH PHYS
Volume: 271
Issue: 3
First page : 775
Last page: 789
Number of pages: 15
ISSN: 0010-3616
DOI: https://doi.org/10.1007/s00220-006-0186-y
Abstract
The construction of twisted K-theory classes on a compact Lie group is reviewed using the supersymmetric Wess-Zumino-Wittenmodel 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.
The construction of twisted K-theory classes on a compact Lie group is reviewed using the supersymmetric Wess-Zumino-Wittenmodel 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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