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math-ph2026
(1,k) CFT and RH problem with the c=-2 case
Mikhail Bershtein, Andrei Grigorev, Anton Shchechkin
Following approach of Iorgov--Lisovyy--Teschner, we construct solutions of the (modified) Riemann--Hilbert problem using conformal blocks of Virasoro models. For case…
math.RT2026
Athinization of irreducible -modules with dominant highest weights
Mikhail Bershtein, Evgeny Mukhin, Leonid Rybnikov +1
We study the Gelfand-Tsetlin realization of generic Verma modules for the affine Lie algebra by viewing them as thin modules over the affine Yangian $Y(…
math.QA2026
Deformed W-algebras and chiralized cluster seeds: subregular W-algebras and Inverse Quantum Hamiltonian Reduction
Mikhail Bershtein, Jean-Emile Bourgine, Ethan Fursman
The recently introduced formalism of chiral cluster seeds replaces quantum cluster variables with deformed vertex operators. In this framework, a decorated quiver associated with a…