A Representation-Theoretic Approach to -Characters

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Liu, Henry
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211814
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Representation-Theoretic Approach to -Characters. Henry Liu. SIGMA 18 (2022), 090, 20 pages

We raise the question of whether (a slightly generalized notion of) -characters can be constructed purely representation-theoretically. In the main example of the quantum toroidal ₁ algebra, geometric engineering of adjoint matter produces an explicit vertex operator which computes certain -charact...