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On R-matrix formulation of qq-characters

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arxiv 2310.02587 v1 pith:HENBZ4LR submitted 2023-10-04 hep-th math-phmath.MP

Mehmet Batu Bay{i}nd{i}rl{i} , Dilan Nur Demirtaş , Can Kozçaz , Yegor Zenkevich This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords formulationqq-charactersr-matrixcorrespondingtypealgebrabranesconstruction
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abstract

We introduce an R-matrix formulation of qq-characters and corresponding Frenkel-Reshetikhin deformed W-algebras. The R-matrix featuring in the construction is of Ding-Iohara-Miki (DIM) algebra, while the type of the qq-character is determined by the network of Fock representations corresponding to a web of 5-branes geometrically engineering a quiver gauge theory. Our formulation gives a unified description of qq-characters of $A_n$ type and their elliptic uplifts.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gauge Origami and BPS/CFT correspondence

    hep-th 2025-02 conditional novelty 5.0 of 10

    The gauge origami partition function on C4 is realized as a correlation function of BPS qq-character operators, with D6 and D8 characters labeled by plane and solid partitions.

  2. Classical elliptic integrable systems from the moduli space of instantons

    math-ph 2024-12 conditional novelty 4.0 of 10

    A review that derives Krichever's elliptic Calogero-Moser Lax matrix from qq-characters of instanton moduli spaces, with K-theoretic and elliptic counterparts, plus Lax eigenvectors from folded instantons.

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