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ABCD of qq-characters

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arxiv 2302.00525 v2 pith:U4OASM6I submitted 2023-02-01 hep-th math-phmath.MP

Satoshi Nawata , Kilar Zhang , Rui-Dong Zhu This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords qq-charactersgaugegroupsexpressionstheoriesabcdalgebraallows
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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 $\mathcal{N} = 1$ 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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Cited by 2 Pith papers

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  1. O-vertex, O7$^+$-plane, and Topological Vertex

    hep-th 2024-12 conditional novelty 7.0 of 10

    A new O7+ topological vertex formalism, based on O7+ ~ Z2 + 4 D7, reproduces the SO(2N) instanton partition function previously computed from O5-plane webs.

  2. More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations

    hep-th 2026-02 conditional novelty 6.0 of 10

    For 5d N=1 pure gauge theories, Wilson-loop blowup equations can be fixed using one-form symmetry and low-instanton data, and one-instanton free energies admit a universal v=sqrt(q1q2) expansion resembling Hilbert series.

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