41 citations · 67 across the 18 of their papers we have counts for
18 papers
The Kazhdan-Lusztig category of W-algebras of simply-laced Lie algebras at irrational levels
Thomas Creutzig, Gurbir Dhillon, Shigenori Nakatsuka
Let be a simple, simply-laced Lie algebra and nilpotent. The Kazhdan-Lusztig category of the W-algebra associated with $(\…
Center of the affine at the critical level and pseudo-differential operators
Dražen Adamović, Boris Feigin, Shigenori Nakatsuka
We prove that the center of the affine Lie algebra at the critical level is generated by the coefficients in the expansion of the pseudo-differentia…
Quantum Hamiltonian reductions for W-algebras
Justine Fasquel, Shigenori Nakatsuka
In this paper, we establish a general criterion for good pairs, namely pairs consisting of a nilpotent orbit and an even good grading in a simple Lie algebra, which guarantees the…
Minimal W-algebras of at level minus one
Thomas Creutzig, Justine Fasquel, Vladimir Kovalchuk +2
For we show that the simple minimal -algebra of at level minus one is isomorphic to the even subalgebra of the tensor produ…
Center of affine at the critical level
Drazen Adamovic, Shigenori Nakatsuka
In this article, we shall describe the center of the universal affine vertex superalgebra associated with $\mathfrak g=\mathfrak{sl}_{2|1}, \mathfrak {gl}_{2…
On Virasoro-type reductions and inverse Hamiltonian reductions for -algebras and -algebras
Justine Fasquel, Vladimir Kovalchuk, Shigenori Nakatsuka
In this article, the Virasoro-type reduction and the corresponding inverse reductions are established for W-algebras associated with classical Lie type and nilpotent orbits of heig…
Connecting affine -algebras: A case study on
Justine Fasquel, Zachary Fehily, Ethan Fursman +1
We introduce the partial reductions and inverse Hamiltonian reductions between affine -algebras along the closure relations of associated nilpotent orbits in the case…
Some isomorphisms between exceptional W-algebras
Jethro van Ekeren, Shigenori Nakatsuka
We prove some isomorphisms between exceptional W-algebras associated with exceptional simple Lie algebras.
On the structure of W-algebras in type A
Thomas Creutzig, Justine Fasquel, Andrew R. Linshaw +1
We formulate and prove examples of a conjecture which describes the W-algebras in type A as successive quantum Hamiltonian reductions of affine vertex algebras associated with seve…
Orthosymplectic Feigin-Semikhatov duality
Justine Fasquel, Shigenori Nakatsuka
We study the representation theory of the subregular W-algebra of type B and the principal W-superalgebra $\mathcal{W}^\ell(\mathfrak{…
Quasi-lisse extension of affine à la Feigin--Tipunin
Thomas Creutzig, Shigenori Nakatsuka, Shoma Sugimoto
We study the affine analogue of the triplet algebra. We show that is quasi-lisse and the associated variety is the…
Cosets from equivariant W-algebras
Thomas Creutzig, Shigenori Nakatsuka
The equivariant -algebra of a simple Lie algebra is a BRST reduction of the algebra of chiral differential operators on the Lie group of .…
Feigin-Semikhatov conjecture and related topics
Shigenori Nakatsuka
Feigin-Semikhatov conjecture, now established, states algebraic isomorphisms between the cosets of the subregular -algebras and the principal -superalgebr…
Duality via convolution of W-algebras
Thomas Creutzig, Andrew R. Linshaw, Shigenori Nakatsuka +1
Feigin-Frenkel duality is the isomorphism between the principal -algebras of a simple Lie algebra and its Langlands dual Lie algebra .…
Correspondences of categories for subregular W-algebras and principal W-superalgebras
Thomas Creutzig, Naoki Genra, Shigenori Nakatsuka +1
Based on the Kazama-Suzuki type coset construction and its inverse coset between the subregular -algebras for and the principal -superal…
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…
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…
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…