65 citations · 527 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
Highest-weight vectors and three-point functions in GKO coset decomposition
Mikhail Bershtein, Boris Feigin, Aleksandr Trufanov
We revisit the classical Goddard-Kent-Olive coset construction. We find the formulas for the highest weight vectors in coset decomposition and calculate their norms. We also derive…
Twisted Fock module of toroidal algebra via DAHA and vertex operators
Mikhail Bershtein, Roman Gonin
We construct the twisted Fock module of quantum toroidal algebra with a slope using vertex operators of quantum affine . The proof is base…
Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of
Mikhail Bershtein, Roman Gonin
The work is devoted to a probably new connection between deformed Virasoro algebra and quantum . We give an explicit realization of Virasoro current via…