3d-3d Correspondence Revisited

Chung, Hee-Joong and Dimofte, Tudor and Gukov, Sergei and Sułkowski, Piotr (2016) 3d-3d Correspondence Revisited. Journal of High Energy Physics, 2016 (4). Art. No. 140. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:20160503-083907514

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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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://arxiv.org/abs/1405.3663	arXiv	Discussion Paper
http://dx.doi.org/10.1007/JHEP04(2016)140	DOI	Article
http://link.springer.com/article/10.1007%2FJHEP04%282016%29140	Publisher	Article

ORCID:

Author	ORCID
Gukov, Sergei	0000-0002-9486-1762
Sułkowski, Piotr	0000-0002-6176-6240

Additional Information:

© 2016 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: March 4, 2016; Accepted: April 13, 2016; Published: April 21, 2016. We would like to thank S. Nawata, S. Razamat, B. Willett, and E. Witten for useful discussions. Many ideas in this paper were developed at the 2013 Simons Summer Workshop in Mathematics and Physics, whose support and hospitality we gratefully acknowledge. The work of H.J.C. and S.G. is supported in part by DOE Grant DE-FG02-92ER40701. The work of T.D. is supported in part by DOE grant DE-SC0009988. This work has also been supported by the ERC Starting Grant no. 335739 "Quantum fields and knot homologies", funded by the European Research Council under the European Union's Seventh Framework Programme.

Funders:

Funding Agency	Grant Number
Department of Energy (DOE)	DE-FG02-92ER40701
Department of Energy (DOE)	DE-SC0009988
European Research Council (ERC)	335739
SCOAP3	UNSPECIFIED

Subject Keywords:

Supersymmetric gauge theory, Topological Field Theories, Chern-Simons Theories, Supersymmetry and Duality

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Record Number:

CaltechAUTHORS:20160503-083907514

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20160503-083907514

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

66607

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

03 May 2016 17:10

Last Modified:

11 Feb 2020 19:17

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