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Elliptic modular double and 4d partition functions
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0001-8934-8836
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0002-5845-2283
2018 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 51, no 4, article id 045402Article in journal (Refereed) Published
Abstract [en]

We consider 4d supersymmetric (special) unitary Gamma quiver gauge theories on compact manifolds which are T-2 fibrations over S-2. We show that their partition functions are correlators of vertex operators and screening charges of the modular double version of elliptic W-q,(t);(q ')(Gamma) algebras. We also consider a generating function of BPS surface defects supported on T-2 and show that it can be identified with a particular coherent state in the Fock module over the elliptic Heisenberg algebra.

Place, publisher, year, edition, pages
IOP PUBLISHING LTD , 2018. Vol. 51, no 4, article id 045402
Keywords [en]
supersymmetric gauge theories, deformed W algebras, matrix models
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-338956DOI: 10.1088/1751-8121/aa9a2dISI: 000418550700002OAI: oai:DiVA.org:uu-338956DiVA, id: diva2:1175729
Funder
Swedish Research Council, 2014-5517The Swedish Foundation for International Cooperation in Research and Higher Education (STINT)Knut and Alice Wallenberg FoundationAvailable from: 2018-01-18 Created: 2018-01-18 Last updated: 2018-01-18Bibliographically approved

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Lodin, RebeccaNieri, FabrizioZabzine, Maxim

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