Families Index Theorem in Supersymmetric WZW Model and Twisted K-Theory: The SU(2) Case

被引：0
作者：
Jouko Mickelsson
Juha-Pekka Pellonpää
机构：
[1] University of Helsinki,Department of Mathematics and Statistics
[2] KTH,Mathematical Physics
[3] University of Turku,Department of Physics
来源：
Communications in Mathematical Physics | 2007年 / 271卷
关键词：
Line Bundle; Dirac Operator; Cohomology Class; Principal Bundle; Loop Group;
D O I：
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学科分类号：
摘要：
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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页码：775 / 789
页数：14
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共 22 条
  • [1] Atiyah M.(2004)Localization formulas, superconnections, and the index theorem for families Ukr. Mat. Visn. 1 287-330
  • [2] Segal G.(1986)Twisted K-theory and K-theory of bundle gerbes Commun. Math. Phys. 103 127-166
  • [3] Twisted K-theory.(2002)The universal gerbe, Dixmier-Douady class, and gauge theory Commun. Math. Phys. 228 17-49
  • [4] Bismut J.-M.(2002)Index theory, gerbes, and hamiltonian quantization Lett. Math. Phys. 59 47-60
  • [5] Bouwknegt P.(1997)Graded Brauer groups and K-theory with local coefficients Commun. Math. Phys. 183 707-722
  • [6] Carey A.(1970)On the twisted K-homology of simple Lie groups Inst. Hautes Études Sci. Publ. Math. No. 38 5-25
  • [7] Mathai V.(2006)WZW branes and gerbes Topology 45 955-988
  • [8] Murray M.K.(2002)Twisted K theory invariants Rev. Math. Phys. 14 1281-1334
  • [9] Stevenson D.(2005)Superconnections and the Chern character Lett. Math. Phys. 71 109-121
  • [10] Carey A.L.(1985)Continuous-trace algebras from the bundle theoretic point of view Topology 24 89-95
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