Symmetry enhancement and closing of knots in 3d/3d correspondence

Dongmin Gang, Kazuya Yonekura

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We revisit Dimofte-Gaiotto-Gukov’s construction of 3d gauge theories associated to 3-manifolds with a torus boundary. After clarifying their construction from a viewpoint of compactification of a 6d N= (2 0) theory of A1-type on a 3-manifold, we propose a topological criterion for SU(2)/SO(3) flavor symmetry enhancement for the u(1) symmetry in the theory associated to a torus boundary, which is expected from the 6d viewpoint. Base on the understanding of symmetry enhancement, we generalize the construction to closed 3-manifolds by identifying the gauge theory counterpart of Dehn filling operation. The generalized construction predicts infinitely many 3d dualities from surgery calculus in knot theory. Moreover, by using the symmetry enhancement criterion, we show that theories associated to all hyperboilc twist knots have surprising SU(3) symmetry enhancement which is unexpected from the 6d viewpoint.

Original languageEnglish
Article number145
JournalJournal of High Energy Physics
Volume2018
Issue number7
DOIs
Publication statusPublished - Jul 1 2018

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closing
augmentation
symmetry
gauge theory
calculus
surgery

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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Symmetry enhancement and closing of knots in 3d/3d correspondence. / Gang, Dongmin; Yonekura, Kazuya.

In: Journal of High Energy Physics, Vol. 2018, No. 7, 145, 01.07.2018.

Research output: Contribution to journalArticle

Gang, Dongmin ; Yonekura, Kazuya. / Symmetry enhancement and closing of knots in 3d/3d correspondence. In: Journal of High Energy Physics. 2018 ; Vol. 2018, No. 7.
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