On elliptic algebras and large-n supersymmetric gauge theories

In this note we further develop the duality between supersymmetric gauge theories in various dimensions and elliptic integrable systems such as Ruijsenaars-Schneider model and periodic intermediate long wave hydrodynamics. These models arise in instanton counting problems and are described by certai...

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Bibliographic Details
Published in:Journal of mathematical physics 2016-11, Vol.57 (11), p.112302
Main Authors: Koroteev, Peter, Sciarappa, Antonio
Format: Article
Language:English
Subjects:
Algebra
Computational fluid dynamics
Fluid flow
Fluid mechanics
Gauge theory
Hydrodynamics
Physics
Supersymmetry
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Summary:In this note we further develop the duality between supersymmetric gauge theories in various dimensions and elliptic integrable systems such as Ruijsenaars-Schneider model and periodic intermediate long wave hydrodynamics. These models arise in instanton counting problems and are described by certain elliptic algebras. We discuss the correspondence between the two types of models by employing the large-n limit of the dual gauge theory. In particular, we provide non-Abelian generalization of our previous result on the intermediate long wave model.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4966641