Elliptic modular double and 4d partition functions. (20th December 2017)

• Record Type: Journal Article
• Authors: Lodin, Rebecca; Nieri, Fabrizio; Zabzine, Maxim
• Is Part Of: Journal of physics. Volume 51:Number 4(2018)
• Publication Date: 2017-12-20
• Subjects: supersymmetric gauge theories -- deformed W algebras -- matrix models; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa9a2d
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We consider 4d supersymmetric (special) unitary Γ 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 ′ ( Γ ) 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.