K-Theory in Quantum Field Theory

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dc.creatorFreed, Daniel S.
dc.date2002-06-18
dc.date.accessioned2026-07-07T04:29:16Z
dc.date.available2026-07-07T04:29:16Z
dc.descriptionWe survey three different ways in which K-theory in all its forms enters quantum field theory. In Part 1 we give a general argument which relates topological field theory in codimension two with twisted K-theory, and we illustrate with some finite models. Part 2 is a review of pfaffians of Dirac operators, anomalies, and the relationship to differential K-theory. Part 3 is a geometric exposition of Dirac charge quantization, which in superstring theories also involves differential K-theory. Parts 2 and 3 are related by the Green-Schwarz anomaly cancellation mechanism. An appendix, joint with Jerry Jenquin, treats the partition function of Rarita-Schwinger fields.
dc.description56 pages, expanded version of lectures at "Current Developments in Mathematics"
dc.identifierhttps://arxiv.org/abs/math-ph/0206031
dc.identifierhttp://arxiv.org/abs/math-ph/0206031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57090
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subject81T30, 81T45, 81T50, 19L99
dc.titleK-Theory in Quantum Field Theory
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