Affiliation:
1. Centre of Quantum Mathematics, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
Abstract
We give a detailed introduction to the classical Chern–Simons gauge theory, including the mathematical preliminaries. We then explain the perturbative quantization of gauge theories via the Batalin–Vilkovisky (BV) formalism. We then define the perturbative Chern–Simons partition function at any (possibly non-acylic) reference flat connection using the BV formalism, using a Riemannian metric for gauge fixing. We show that it exhibits an anomaly known as the “framing anomaly” when the Riemannian metric is changed, that is, it fails to be gauge invariant. We explain how one can deal with this anomaly to obtain a topological invariant of framed manifolds.
Funder
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Publisher
World Scientific Pub Co Pte Ltd
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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