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.
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.
|Full text:||(VoR) Version of Record|
Available under License - Creative Commons Attribution.
Download PDF (838Kb)
|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
|Look up in GoogleScholar|