Virasoro-type Symmetries in Solvable Models

Abstract

Virasoro-type symmetries and their roles in solvable models are reviewed. These symmetries are described by the two-parameter Virasoro-type algebra $Vi{r}_{p,q}$ by choosing the parameters p and q suitably.

LaTeX file, 35 pages

Cited by in corpus (10)

• Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra
• 3d & 5d gauge theory partition functions as q-deformed CFT correlators
• Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra
• Holomorphic blocks and the 5d AGT correspondence
• The deformed Virasoro algebra at roots of unity
• Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence
• From finite geometry exact quantities to (elliptic) scattering amplitudes for spin chains: the 1/2-XYZ
• Central extensions of classical and quantum q-Viraroso algebras
• Note on the Algebra of Screening Currents for the Quantum Deformed W-Algebra
• Singular Vector of Ding-Iohara-Miki Algebra and Hall-Littlewood Limit of 5D AGT Conjecture