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$K$-theoretic Hall algebras and Coulomb branches

Published 19 May 2026 in math.RT, hep-th, math-ph, math.AG, and math.QA | (2605.19487v1)

Abstract: We construct a surjective homomorphism from the (suitably interpreted) double loop-nilpotent $K$-theoretic Hall algebra to the Coulomb branch algebra of a quiver gauge theory, using the shuffle algebra interpretation.

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