3d-3d Correspondence Revisited
High Energy Physics - Theory
2017-05-23 v2 Geometric Topology
Quantum Algebra
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.
Cite
@article{arxiv.1405.3663,
title = {3d-3d Correspondence Revisited},
author = {Hee-Joong Chung and Tudor Dimofte and Sergei Gukov and Piotr Sułkowski},
journal= {arXiv preprint arXiv:1405.3663},
year = {2017}
}
Comments
43 pages + 1 appendix, 6 figures Version 2: new appendix on flat connections in the 3d-3d correspondence