3d-3d Correspondence Revisited

Hee-Joong Chung, Tudor Dimofte, Sergei Gukov, Piotr Sułkowski

Research output: Contribution to journalArticlepeer-review

Abstract

In fivebrane compactifications on 3-manifolds, we point out the importance of all flat connections in the proper definition of the effective 3d N=2 theory. The Lagrangians of some theories with the desired properties can be constructed with the help of homological knot invariants that categorify colored Jones polynomials. Higgsing the full 3d theories constructed this way recovers theories found previously by Dimofte-Gaiotto-Gukov. We also consider the cutting and gluing of 3-manifolds along smooth boundaries and the role played by all flat connections in this operation.
Original languageEnglish
Article number140
Number of pages43
Journal Journal of High Energy Physics
Volume2016
DOIs
Publication statusPublished - 21 Apr 2016

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