期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 353, 期 3, 页码 1059-1102出版社
SPRINGER
DOI: 10.1007/s00220-017-2882-1
关键词
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资金
- INFN
- MIUR-FIRB [RBFR10QS5J]
- Vetenskapsradet [2014-5517]
- STINT grant
- Knut and Alice Wallenberg foundation
- INFN
- MIUR-FIRB [RBFR10QS5J]
- Vetenskapsradet [2014-5517]
- STINT grant
- Knut and Alice Wallenberg foundation
We study partition functions of 3d 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-related commuting sets of q-Virasoro constraints. We generalize our construction to 3d unitary quiver gauge theories and as an example we give the free boson realization of the ABJ(M) model.
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