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 𝒩 = 1 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.
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Acknowledgments
We would like to thank Yutaka Matsuo and Go Noshita for the comments on the draft, and we are also grateful to Sung-Soo Kim, Xiaobin Li and Futoshi Yagi for discussions. S.N. wants to express gratitude to Southeast Jiaotong University for the warm hospitality where a part of the work was carried out. The research of S.N. is supported by National Science Foundation of China No.12050410234 and Shanghai Foreign Expert grant No. 22WZ2502100. K.Z. (Hong Zhang) thanks Shanghai city for the fund, which unfortunately cannot be disclosed here. R.Z. is supported by National Natural Science Foundation of China No. 12105198 and the High-level personnel project of Jiangsu Province (JSSCBS20210709).
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Nawata, S., Zhang, K. & Zhu, RD. ABCD of qq-characters. J. High Energ. Phys. 2023, 200 (2023). https://doi.org/10.1007/JHEP08(2023)200
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DOI: https://doi.org/10.1007/JHEP08(2023)200