Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4

Published 17 Nov 2011 in math.QA | (1111.4234v3)

Abstract: These notes explore some aspects of formal derived geometry related to classical field theory. One goal is to explain how many important classical field theories in physics -- such as supersymmetric gauge theories and supersymmetric sigma-models -- can be described very cleanly using derived geometry. In particular, I describe a mathematically natural construction of Kapustin-Witten's P¹ of twisted supersymmetric gauge theories.

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Authors (1)

Kevin J. Costello

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