On Abelianity Lines in Elliptic 𝑊-Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Avan, Jean, Frappat, Luc, Ragoucy, Eric
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211026
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Abelianity Lines in Elliptic 𝑊-Algebras. Jean Avan, Luc Frappat and Eric Ragoucy. SIGMA 16 (2020), 094, 18 pages

We present a systematic derivation of the abelianity conditions for the q-deformed 𝑊-algebras constructed from the elliptic quantum algebra Aq,ₚ(𝖌𝔩ˆ(𝘕)c). We identify two sets of conditions on a given critical surface yielding abelianity lines in the moduli space (𝑝, 𝑞, 𝘤). Each line is identified a...