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Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2007 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 271, no 3, 775-789 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 271, no 3, 775-789 p.
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Physical Sciences
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URN: urn:nbn:se:kth:diva-37080DOI: 10.1007/s00220-006-0186-yISI: 000247964400008Scopus ID: 2-s2.0-33947362044OAI: oai:DiVA.org:kth-37080DiVA: diva2:432013
Available from: 2011-07-28 Created: 2011-07-28 Last updated: 2017-12-08Bibliographically approved

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