Free field representation of level-\(k\) Yangian double \(DY(\text{sl}_2)_k\) and deformation of Wakimoto modules

DOI10.1023/A:1007359810740zbMath0936.17015arXivq-alg/9605045OpenAlexW3000104255MaRDI QIDQ1359681

Hitoshi Konno

Publication date: 24 August 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9605045

zbMATH Keywords

highest weight representationsaffine Lie algebrascentral extensionWakimoto modulesfree bosonic fieldsboson representation of vertex operatorsDrinfeld currentsYangian double

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) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23)

Related Items (5)

ℏ (YANGIAN) DEFORMATION OF THE MIURA MAP AND VIRASORO ALGEBRA ⋮ Free boson representation of DYℏ(glN)k and DYℏ(slN)k ⋮ Unnamed Item ⋮ An algebraic bootstrap for dimensionally reduced quantum gravity ⋮ On the vertex operators of the elliptic quantum algebra Uq,p(sl2̂)k

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