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K-Theory in Quantum Field Theory | | Daniel S. Freed
; | | Date: |
18 Jun 2002 | | Subject: | Mathematical Physics; Algebraic Topology; K-Theory and Homology; Differential Geometry MSC-class: 81T30, 81T45, 81T50, 19L99 | math-ph hep-th math.AT math.DG math.KT math.MP | | Abstract: | 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. | | Source: | arXiv, math-ph/0206031 | | Services: | Forum | Review | PDF | Favorites | |
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