Lecture Notes on Chern-Simons Perturbation Theory
arXiv:1911.09744
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.
arXiv commentThese are the notes for a lecture series given at KMPG at Humboldt-Universität Berlin in Summer 2019. Comments appreciated
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