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arXiv · 1911.09744

Lecture Notes on Chern-Simons Perturbation Theory

Konstantin Wernli
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Abstract

The goal of these lectures is to exhibit the framing anomaly in the Batalin-Vilkovisky formulation of perturbative Chern-Simons theory. Concretely, we show that the partition function fails to satisfy the Quantum Master Equation, and show that this can be remedied at the cost of introducing a framing. Along the way, we discuss principal bundles and connections, the Chern-Simons action functional, and perturbative quantization of gauge theories in the Batalin-Vilkovisky formalism.

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Konstantin Wernli. 2019-11-21. Lecture Notes on Chern-Simons Perturbation Theory. https://arxiv.org/abs/1911.09744

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