2005/09/30 by Jouko Mickelsson, Juha-Pekka Pellonpää · 9 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Character (mathematics) #Euclidean geometry #Geometry #Group (periodic table) #Lie group #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #hep-th #math.AT
paper · pdf · doi:10.1007/s00220-006-0186-y
published in Communications in Mathematical Physics 271(3), 775-789 (Springer Science+Business Media) · Version 2: Essentially simplified proof of the main result using a map from twisted K-theory to gerbes modulo the twisting gerbe; references added + minor corrections
arxiv created 2006/06/28 · openalex publication_date 2007/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.