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arXiv · 1805.11076

Localization and Non-Renormalization in Chern-Simons Theory

Yale Fan
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Abstract

We revisit and clarify some aspects of perturbative renormalization in pure Chern-Simons theory by means of a localization principle associated with an underlying supersymmetry. This perspective allows the otherwise perturbative one-loop shifts to be interpreted as nonperturbative consequences of a non-renormalization theorem, while providing a unified understanding of their origin (particularly in the case of Wilson lines). We illustrate this approach explicitly for $SU(2)$ Chern-Simons theory in flat space, on Seifert manifolds, and on a solid torus.

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Yale Fan. 2018-05-28. Localization and Non-Renormalization in Chern-Simons Theory. https://doi.org/10.1007/jhep01(2019)065

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