Refined 3d-3d correspondence

Alday, Luis F.; Genolini, Pietro Benetti; Bullimore, Mathew; van Loon, Mark

doi:10.1007/jhep04(2017)170

Refined 3d-3d correspondence

Alday, Luis F.; Genolini, Pietro Benetti; Bullimore, Mathew; van Loon, Mark

Authors

Luis F. Alday

Pietro Benetti Genolini

Professor Mathew Bullimore mathew.r.bullimore@durham.ac.uk
Early Career Fellowship

Mark van Loon

Abstract

We explore aspects of the correspondence between Seifert 3-manifolds and 3d N = 2 supersymmetric theories with a distinguished abelian flavour symmetry. We give a prescription for computing the squashed three-sphere partition functions of such 3d N = 2 theories constructed from boundary conditions and interfaces in a 4d N = 2∗ theory, mirroring the construction of Seifert manifold invariants via Dehn surgery. This is extended to include links in the Seifert manifold by the insertion of supersymmetric Wilson-’t Hooft loops in the 4d N = 2∗ theory. In the presence of a mass parameter cfor the distinguished flavour symmetry, we recover aspects of refined Chern-Simons theory with complex gauge group, and in particular construct an analytic continuation of the S-matrix of refined Chern-Simons theory.

Citation

Alday, L. F., Genolini, P. B., Bullimore, M., & van Loon, M. (2017). Refined 3d-3d correspondence. Journal of High Energy Physics, 2017(4), Article 170. https://doi.org/10.1007/jhep04%282017%29170

Journal Article Type	Article
Acceptance Date	Apr 21, 2017
Online Publication Date	Apr 28, 2017
Publication Date	Apr 28, 2017
Deposit Date	Jun 7, 2018
Publicly Available Date	Jun 8, 2018
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2017
Issue	4
Article Number	170
DOI	https://doi.org/10.1007/jhep04%282017%29170

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© The Author(s) 2017 Open Access 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.