ABCD of qq-characters
High Energy Physics - Theory
2023-09-01 v2 Mathematical Physics
math.MP
Abstract
The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d pure Yang-Mills theories with BCD-type gauge groups, by focusing on the unrefined limit. Using these expressions, we investigate the relationships among qq-characters of classical gauge groups. For SO(n) gauge groups, we construct a quantum-toroidal-like algebra via the Ward-identity approach, which allows us to derive the qq-characters.
Cite
@article{arxiv.2302.00525,
title = {ABCD of qq-characters},
author = {Satoshi Nawata and Kilar Zhang and Rui-Dong Zhu},
journal= {arXiv preprint arXiv:2302.00525},
year = {2023}
}
Comments
27+18 pages; Mathematica file attached; explanations added in v2