D. Klyuev

collaborators

4 papers

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…

hep-th2026

Positive Traces on Certain $SL (2)$ Coulomb Branches

Daniil Klyuev, Joseph Vulakh

For a noncommutative algebra $A$ and an antilinear automorphism $I ¨ $ of $A$ , there is a notion of a positive trace. When we have a three-dimensional $\mathcal{N…

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…

Residue construction of quantized Coulomb branches

Positive Traces on Certain SL(2) Coulomb Branches

Positive traces on quantized abelian Coulomb branches

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

Positive Traces on Certain $SL (2)$ Coulomb Branches

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