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High Energy Physics - Theory

arXiv:1805.11076 (hep-th)
[Submitted on 28 May 2018 (v1), last revised 10 Jan 2019 (this version, v2)]

Title:Localization and Non-Renormalization in Chern-Simons Theory

Authors: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.
Comments: 62 pages + appendices, comments very welcome; v2: minor improvements (published version is abridged)
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1805.11076 [hep-th]
  (or arXiv:1805.11076v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.11076
Related DOI: https://doi.org/10.1007/JHEP01%282019%29065

Submission history

From: Yale Fan [view email]
[v1] Mon, 28 May 2018 17:33:50 UTC (114 KB)
[v2] Thu, 10 Jan 2019 11:10:29 UTC (114 KB)
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