Lecture Notes on Chern-Simons Perturbation Theory
Mathematical Physics
2019-11-25 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1911.09744,
title = {Lecture Notes on Chern-Simons Perturbation Theory},
author = {Konstantin Wernli},
journal= {arXiv preprint arXiv:1911.09744},
year = {2019}
}
Comments
These are the notes for a lecture series given at KMPG at Humboldt-Universit\"at Berlin in Summer 2019. Comments appreciated