Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Refined 3d-3d correspondence.

Alday, Luis F. and Genolini, Pietro Benetti and Bullimore, Mathew and van Loon, Mark (2017) 'Refined 3d-3d correspondence.', Journal of high energy physics., 2017 (4). p. 170.

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.

Item Type:Article
Full text:(VoR) Version of Record
Available under License - Creative Commons Attribution.
Download PDF
(838Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP04(2017)170
Publisher statement:© 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.
Date accepted:21 April 2017
Date deposited:08 June 2018
Date of first online publication:28 April 2017
Date first made open access:08 June 2018

Save or Share this output

Export:
Export
Look up in GoogleScholar