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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Fan, Y. Localization and non-renormalization in Chern-Simons theory. J. High Energ. Phys. 2019, 65 (2019). https://doi.org/10.1007/JHEP01(2019)065
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DOI: https://doi.org/10.1007/JHEP01(2019)065