41 citations · 161 across the 15 of their papers we have counts for
15 papers
Principal SUSY and nonSUSY W-algebras and their Zhu algebras
Naoki Genra, Arim Song, Uhi Rinn Suh
This paper consists of two parts. In the first part, we prove that when is a simple basic Lie superalgebra with a principal odd nilpotent element , the W-algebra…
Reduction by stages for affine W-algebras
Naoki Genra, Thibault Juillard
Given a pair of nilpotent orbits in a simple Lie algebra, one can associate a pair of vertex algebras called affine W-algebras. Under some compatibility conditions on these orbits,…
Twisted Zhu algebras
Naoki Genra
Let be a freely generated pregraded vertex superalgebra, a Hamiltonian operator of , and a diagonalizable automorphism of V commuting with with modulus eigen…
Reduction by stages for finite W-algebras
Naoki Genra, Thibault Juillard
Let be a simple Lie algebra: its dual space is a Poisson variety. It is well known that for each nilpotent element in , it is poss…
Finite -algebras of and Ghost centers
Naoki Genra
We prove that the finite -algebra associated to and its principal nilpotent element is isomorphic to Gorelik's ghost center of $\mathfrak{osp}_…
Ordinary modules for vertex algebras of
Thomas Creutzig, Naoki Genra, Andrew Linshaw
We show that the affine vertex superalgebra at generic level embeds in the equivariant -algebra of times free…
Relaxed and logarithmic modules of
Drazen Adamovic, Thomas Creutzig, Naoki Genra
In [8], the affine vertex algebra is realized as a subalgebra of the vertex algebra , where is a simple Virasoro vertex algebra a…
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…
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…
Correspondences among CFTs with different W-algebra symmetry
Thomas Creutzig, Naoki Genra, Yasuaki Hikida +1
W-algebras are constructed via quantum Hamiltonian reduction associated with a Lie algebra and an -embedding into . We derive corresp…
The vertex algebras and
Drazen Adamovic, Thomas Creutzig, Naoki Genra +1
The vertex algebras and introduced in [2] are very interesting relatives of the famous triplet algebras of logarithmic CFT. The algebra (respectively,…
Ito's conjecture and the coset construction for
Naoki Genra, Andrew R. Linshaw
Many -(super)algebras which are defined by the generalized Drinfeld-Sokolov reduction are also known or expected to have coset realizations. For example, it was conje…
Strong generators of the subregular W-algebra and combinatorial description at critical level
Naoki Genra, Toshiro Kuwabara
We construct explicitly strong generators of the affine -algebra of subregular type . Moreover, we are able to describ…
Screening operators and Parabolic inductions for Affine W-algebras (with an appendix by Shigenori Nakatsuka)
Naoki Genra
(Affine) -algebras are a family of vertex algebras defined by the generalized Drinfeld-Sokolov reductions associated with a finite-dimensional reductive Lie algebra $\…
Screening operators for W-algebras
Naoki Genra
Let be a simple finite-dimensional Lie superalgebra with a non-degenerate supersymmetric even invariant bilinear form, a nilpotent element in the even part of $\…