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Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
Tekijät: Mickelsson J, Pellonpaa JP
Kustantaja: SPRINGER
Julkaisuvuosi: 2007
Lehti:: Communications in Mathematical Physics
Tietokannassa oleva lehden nimi: COMMUNICATIONS IN MATHEMATICAL PHYSICS
Lehden akronyymi: COMMUN MATH PHYS
Vuosikerta: 271
Numero: 3
Aloitussivu: 775
Lopetussivu: 789
Sivujen määrä: 15
ISSN: 0010-3616
DOI: https://doi.org/10.1007/s00220-006-0186-y
Tiivistelmä
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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