Dualities in Field Theories and the Role of K-Theory

Details Dualities in Field Theories and the Role of K-Theory Dualities in Field Theories and the Role of K-Theory

2011-07-25

arxiv.org/abs/1107.5015v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, based on talks at the Closing Meeting on Perspectives in Deformation Quantization and Noncommutative Geometry, RIMS,

Scientific paper

It is now known (or in some cases just believed) that many quantum field theories exhibit dualities, equivalences with the same or a different theory in which things appear very different, but the overall physical implications are the same. We will discuss some of these dualities from the point of view of a mathematician, focusing on "charge conservation" and the role played by K-theory and noncommutative geometry. Some of the work described here is joint with Mathai Varghese and Stefan Mendez-Diez; the last section is new.

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