Varghese Mathai and Hisham Sati JHEP03(2004)016 doi:10.1088/1126-6708/2004/03/016
Varghese Mathai1 and Hisham Sati1,2
Show affiliationsRecently, Diaconescu, Moore and Witten provided a nontrivial link between K-theory and M-theory, by deriving the partition function of the Ramond-Ramond fields of type IIA string theory from an E 8 gauge theory in eleven dimensions. We give some relations between twisted K-theory and M-theory by adapting the method of [1,2]. In particular, we construct the twisted K-theory torus which defines the partition function, and also discuss the problem from the loop group picture, in which the Dixmier-Douady class is the Neveu-Schwarz field. In the process of doing this, we encounter some mathematics that is new to the physics literature. In particular, the eta differential form, which is the generalization of the eta invariant, arises naturally in this context. We conclude with several open problems in mathematics and string theory.
E-print Number: hep-th/0312033
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Issue 03 (March 2004)
Received 4 December 2003, accepted for publication 4 March 2004
Published 15 April 2004
Varghese Mathai and Hisham Sati JHEP03(2004)016
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