Deformed Virasoro algebras from elliptic quantum algebras

DOI10.1007/s00220-017-2909-7zbMath1425.17033arXiv1607.05050OpenAlexW3103079979MaRDI QIDQ2406839

Jean Avan, Eric Ragoucy, Luc Frappat

Publication date: 6 October 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05050

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Elliptic functions and integrals (33E05) Yang-Baxter equations (16T25)

Related Items (4)

Dynamical centers for the elliptic quantum algebra $ \newcommand{\elpb}[1{{{\mathcal{B}}_{q,\lambda}(\widehat{gl}_{#1})_c}} \newcommand{\e}{{\rm e}} \elpb{2}$] ⋮ On abelianity lines in elliptic \(W\)-algebras ⋮ The quantum determinant of the elliptic algebra $ {\mathcal{A}_{q, p}(\mathfrak{\widehat{gl}}_N)}$ ⋮ A slow review of the AGT correspondence

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