K-Theory in Quantum Field Theory

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We 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.
56 pages, expanded version of lectures at "Current Developments in Mathematics"

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Mathematical Physics, High Energy Physics - Theory, Algebraic Topology, Differential Geometry, K-Theory and Homology, 81T30, 81T45, 81T50, 19L99

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http://salesiana.dossiersoluciones.com/handle/123456789/57090

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0206031
 http://arxiv.org/abs/math-ph/0206031

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arXiv