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arXiv · 1111.4234

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

Kevin J. Costello
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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 P^1 of twisted supersymmetric gauge theories.

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Kevin J. Costello. 2011-11-17. Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4. https://arxiv.org/abs/1111.4234

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