3D–3D correspondence from Seifert fibering operators. (3rd May 2021)

• Record Type: Journal Article
• Authors: Fan, Yale
• Is Part Of: Journal of physics. Volume 54:Number 22(2021)
• Publication Date: 2021-05-03
• Subjects: supersymmetric gauge theory -- topological field theory -- 3D–3D correspondence; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/abf769
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Using recently developed Seifert fibering operators for 3D N = 2 gauge theories, we formulate the necessary ingredients for a state-integral model of the topological quantum field theory dual to a given Seifert manifold under the 3D–3D correspondence, focusing on the case of Seifert homology spheres with positive orbifold Euler characteristic. We further exhibit a set of difference operators that annihilate the wavefunctions of this TQFT on hyperbolic three-manifolds, generalizing similar constructions for lens space partition functions and holomorphic blocks. These properties offer intriguing clues as to the structure of the underlying TQFT.