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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 Aₙ A n type and their elliptic uplifts.
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Bayındırlı et al. (2026) studied this question.
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