3d3d correspondence revisited
In fivebrane compactifications on 3manifolds, 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 DimofteGaiottoGukov. As a result, we also consider the cutting and gluing of 3manifolds along smooth boundaries and the role played by all flat connections in this operation.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Institute for Advanced Study, Princeton, NJ (United States)
 California Inst. of Technology (CalTech), Pasadena, CA (United States); MaxPlanckInstitut fur Mathematik, Bonn (Germany)
 California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of Warsaw, Warsaw (Poland)
 Publication Date:
 Grant/Contract Number:
 FG0292ER40701
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersymmetric gauge theory; topological field theories; ChernSimons theories; supersymmetry and duality
 OSTI Identifier:
 1326969
Chung, Hee Joong, Dimofte, Tudor, Gukov, Sergei, and Sułkowski, Piotr. 3d3d correspondence revisited. United States: N. p.,
Web. doi:10.1007/JHEP04(2016)140.
Chung, Hee Joong, Dimofte, Tudor, Gukov, Sergei, & Sułkowski, Piotr. 3d3d correspondence revisited. United States. doi:10.1007/JHEP04(2016)140.
Chung, Hee Joong, Dimofte, Tudor, Gukov, Sergei, and Sułkowski, Piotr. 2016.
"3d3d correspondence revisited". United States.
doi:10.1007/JHEP04(2016)140. https://www.osti.gov/servlets/purl/1326969.
@article{osti_1326969,
title = {3d3d correspondence revisited},
author = {Chung, Hee Joong and Dimofte, Tudor and Gukov, Sergei and Sułkowski, Piotr},
abstractNote = {In fivebrane compactifications on 3manifolds, 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 DimofteGaiottoGukov. As a result, we also consider the cutting and gluing of 3manifolds along smooth boundaries and the role played by all flat connections in this operation.},
doi = {10.1007/JHEP04(2016)140},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2016,
place = {United States},
year = {2016},
month = {4}
}