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math.QA2020
A geometric construction of integrable Hamiltonian hierarchies associated with the classical affine W-algebras
Shigenori Nakatsuka
A class of classical affine W-algebras are shown to be isomorphic as differential algebras to the coordinate rings of double coset spaces of certain prounipotent proalgebraic group…
math.QA2020
Duality of subregular W-algebras and principal W-superalgebras
Thomas Creutzig, Naoki Genra, Shigenori Nakatsuka
We prove Feigin-Frenkel type dualities between subregular W-algebras of type A, B and principal W-superalgebras of type . The type A case…
math.QA2020
On Miura maps for W-superalgebras
Shigenori Nakatsuka
We prove the injectivity of the Miura maps for W-superalgberas and the isomorphisms between the Poisson vertex superalgebras obtained as the associated graded of the W-superalgebra…