Integrability from 2d dualities. (1st September 2015)

• Record Type: Journal Article
• Authors: Yamazaki, Masahito; Yan, Wenbin
• Is Part Of: Journal of physics. Volume 48:Number 39(2015)
• Publication Date: 2015-09-01
• Subjects: 2d supersymmetry -- susy field theory -- Yang–Baxter equation; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/39/394001
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We study integrable models in the context of the recently discovered Gauge/YBE correspondence, where the Yang–Baxter equation (YBE) is promoted to a duality between two supersymmetric gauge theories. We study flavored elliptic genus of 2d quiver gauge theories, which are defined from statistical lattices regarded as quiver diagrams. Our R -matrices are written in terms of theta functions and simplify considerably when the gauge groups at the quiver nodes are Abelian. We also discuss the modularity properties of the R -matrix, reduction of 2d index to 1d Witten index, and string theory realizations of our theories.