Work

q-Virasoro Modular Double and 3d Partition Functions

Year: 2017

Type: article

Abstract: We study partition functions of 3d $${\mathcal{N}=2}$$ $${{\rm U}(N)}$$ gauge theories on compact manifolds which are S 1 fibrations over S 2. We show that the partition functions are free field correlators of vertex operators and screening charges of the q-Virasoro modular double, which we define. The inclusion of supersymmetric Wilson loops in arbitrary representations allows us to show that the generating functions of Wilson loop vacuum expectation values satisfy two $${{\rm SL}(2,\mathbb{Z})}$$ -related commuting sets of q-Virasoro constraints. We generalize our construction to 3d $${\mathcal{N}=2}$$ unitary quiver gauge theories and as an example we give the free boson realization of the ABJ(M) model.

Source: Communications in Mathematical Physics

DOI: 10.1007/s00220-017-2882-1

Authors: Anton Nedelin, Fabrizio Nieri, Maxim Zabzine

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca, University of Milano-Bicocca, Uppsala University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Swedish Foundation for International Cooperation in Research and Higher Education, Ministero dell’Istruzione, dell’Università e della Ricerca, Knut och Alice Wallenbergs Stiftelse, Vetenskapsrådet