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arXiv · 1107.5015

Dualities in Field Theories and the Role of K-Theory

Jonathan Rosenberg
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Abstract

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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Jonathan Rosenberg. 2011-07-25. Dualities in Field Theories and the Role of K-Theory. https://arxiv.org/abs/1107.5015

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