Publication details for Mathew Bullimore

Alday, Luis F., Genolini, Pietro Benetti, Bullimore, Mathew & van Loon, Mark (2017). Refined 3d-3d correspondence. Journal of High Energy Physics 2017(4): 170.

• Publication type: Journal Article
• ISSN/ISBN: 1029-8479 (electronic)
• DOI: 10.1007/JHEP04(2017)170
• Further publication details on publisher web site
• Durham Research Online (DRO) - may include full text

Author(s) from Durham

• Mathew Bullimore

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.