D. Klyuev

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20242026

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math.RT2026

Residue construction of quantized Coulomb branches

Daniil Klyuev

We describe the image of a quantized BFN Coulomb branch $A_{G, N}^{ℏ = 1}$ under localization (abelianization) map for any $G, N$ . In most cases, such as quiver gauge the…

math.RT2025

Positive traces on quantized abelian Coulomb branches

Daniil Klyuev

Let $A = A_{G, N}^{ℏ = 1}$ be a quantized Coulomb branch with an antilinear automorphism $I ¨ $ . A map $T : A \to C$ is called a positive trace if $T (a I ¨ (a)) > 0$ for all non…

math.RT2025

Unitarizability of Harish-Chandra bimodules over generalized Weyl and $q$ -Weyl algebras

Daniil Klyuev

Let $A$ be a quantized ( $K$ -theoretic) BFN Coulomb branch with $G = C^{*}$ and any $N$ , that is, $A$ is a generalized Weyl or $q$ -Weyl algebra. Let $M$ be…

math.RT2024

A different approach to positive traces on generalized q-Weyl algebras

Daniil Klyuev

Positive twisted traces are mathematical objects that could be useful in computing certain parameters of superconformal field theories. The case when $A$ is a $q$ -Weyl al…

Residue construction of quantized Coulomb branches

Positive traces on quantized abelian Coulomb branches

Unitarizability of Harish-Chandra bimodules over generalized Weyl and q-Weyl algebras

A different approach to positive traces on generalized q-Weyl algebras

Unitarizability of Harish-Chandra bimodules over generalized Weyl and $q$ -Weyl algebras