Some Relations between Twisted K-theory and E8 Gauge Theory

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dc.creatorMathai, Varghese
dc.creatorSati, Hisham
dc.date2003-12-03
dc.date2005-06-20
dc.date.accessioned2026-07-07T10:49:47Z
dc.date.available2026-07-07T10:49:47Z
dc.descriptionRecently, 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 E8 gauge theory in eleven dimensions. We give some relations between twisted K-theory and M-theory by adapting the method of Diaconescu-Moore-Witten and Moore-Saulina. In particular, we construct the twisted K-theory torus which defines the partition function, and also discuss the problem from the E8 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.
dc.description23 pages, latex2e, corrected minor errors and typos in published version
dc.identifierhttps://arxiv.org/abs/hep-th/0312033
dc.identifierhttp://arxiv.org/abs/hep-th/0312033
dc.identifierJHEP0403:016,2004
dc.identifierdoi:10.1088/1126-6708/2004/03/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184338
dc.subjectHigh Energy Physics - Theory
dc.titleSome Relations between Twisted K-theory and E8 Gauge Theory
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