On Elliptic Algebras and Large-n Supersymmetric Gauge Theories
arXiv:1601.08238 · doi:10.1063/1.4966641
Abstract
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.
45 pages, 2 figures
References in corpus (11)
- A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
- BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
- Defects and Quantum Seiberg-Witten Geometry
- Integrable hydrodynamics of Calogero-Sutherland model: Bidirectional Benjamin-Ono equation
- AGT conjecture and Integrable structure of Conformal field theory for c=1
- Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
- Six-dimensional supersymmetric gauge theories, quantum cohomology of instanton moduli spaces and gl(N) Quantum Intermediate Long Wave Hydrodynamics
- Gromov-Witten invariants of target curves via Symplectic Field Theory
- On spectrum of ILW hierarchy in conformal field theory II: coset CFT's
- Quantum Cohomology and Quantum Hydrodynamics from Supersymmetric Quiver Gauge Theories
- The Condensate from Torus Knots
Cited by in corpus (11)
- Quiver elliptic W-algebras
- A slow review of the AGT correspondence
- -Virasoro modular double and 3d partition functions
- The Quantum DELL System
- Quantum toroidal algebras and solvable structures in gauge/string theory
- Dualities in quantum integrable many-body systems and integrable probabilities -- I
- On Quiver W-algebras and Defects from Gauge Origami
- On Dimensional Transmutation in 1+1D Quantum Hydrodynamics
- The non-chiral intermediate Heisenberg ferromagnet equation
- Quasi-Hopf twist and elliptic Nekrasov factor
- Generalized Gibbs Ensemble of 2D CFTs with U(1) Charge from the AGT Correspondence