Localization and Non-Renormalization in Chern-Simons Theory
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866913691509719040 |
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| author | Fan, Yale |
| author_facet | Fan, Yale |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_11076 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Localization and Non-Renormalization in Chern-Simons Theory Fan, Yale High Energy Physics - Theory 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. |
| title | Localization and Non-Renormalization in Chern-Simons Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/1805.11076 |