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Topological quantum field theory.

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On the "integrality condition" of the bilinear form in the Chern-Simons action

Let $G$ be a Lie group with Lie algebra $\mathfrak{g}$ and let $\pi:P\to\mathcal{M}$ be a principal $G$-bundle over a smooth orientable manifold $\mathcal{M}$. Furthermore, let $\langle\cdot,\cdot\ran …
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3 votes

Reference on the Chern-Simons theory and WZW models for mathematicians

A general reference for Chern-Simons theory written for mathematicians are the two papers by D. S. Freed: D. S. Freed: Classical Chern-Simons Theory, Part 1. Advances in Mathematics, 113(2):237–303, …
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