41 citations · 67 across the 18 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…