\(q\)-Virasoro/\(W\) algebra at root of unity and parafermions

DOI10.1016/j.nuclphysb.2014.10.006zbMath1326.81179arXiv1408.4216OpenAlexW2001083393MaRDI QIDQ895346

H. Itoyama, Takeshi Oota, Reiji Yoshioka

Publication date: 2 December 2015

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4216

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (14)

NSR singular vectors from Uglov polynomials ⋮ \(q\)-Virasoro modular double and 3d partition functions ⋮ Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations ⋮ Explicit examples of DIM constraints for network matrix models ⋮ Orbifolds and exact solutions of strongly-coupled matrix models ⋮ Extensions of the asymptotic symmetry algebra of general relativity ⋮ Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence ⋮ \(q\)-Virasoro constraints in matrix models ⋮ Elliptic algebra, Frenkel–Kac construction and root of unity limit ⋮ \((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces ⋮ Argyres-Douglas theories and Liouville irregular states ⋮ Virasoro constraint for Uglov matrix model ⋮ A slow review of the AGT correspondence ⋮ On refined Chern-Simons and refined ABJ matrix models

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