Naoki Genra

activity

20182024

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6 papers · 1 filter

math.RT2024

Twisted Zhu algebras

Naoki Genra

Let $V$ be a freely generated pregraded vertex superalgebra, $H$ a Hamiltonian operator of $V$ , and $g$ a diagonalizable automorphism of V commuting with $H$ with modulus $1$ eigen…

math.RT2022

Finite $W$ -algebras of $osp_{1∣2 n}$ and Ghost centers

Naoki Genra

We prove that the finite $W$ -algebra associated to $osp_{1∣2 n}$ and its principal nilpotent element is isomorphic to Gorelik's ghost center of $\mathfrak{osp}_…

math.RT2021

Relaxed and logarithmic modules of $sl_{3}$

Drazen Adamovic, Thomas Creutzig, Naoki Genra

In [8], the affine vertex algebra $L_{k} (sl_{2})$ is realized as a subalgebra of the vertex algebra $V i r_{c} \otimes Π (0)$ , where $V i r_{c}$ is a simple Virasoro vertex algebra a…

math.RT2019

Ito's conjecture and the coset construction for $W^{k} (sl (3∣2))$

Naoki Genra, Andrew R. Linshaw

Many $W$ -(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…

math.RT2018

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 $W$ -algebra $W^{K - N} (sl_{N}, f_{s u b})$ of subregular type $A$ . Moreover, we are able to describ…

math.RT2018

Screening operators and Parabolic inductions for Affine W-algebras (with an appendix by Shigenori Nakatsuka)

Naoki Genra

(Affine) $W$ -algebras are a family of vertex algebras defined by the generalized Drinfeld-Sokolov reductions associated with a finite-dimensional reductive Lie algebra $\…

Twisted Zhu algebras

Finite W-algebras of osp1∣2n​ and Ghost centers

Relaxed and logarithmic modules of sl3​​

Ito's conjecture and the coset construction for Wk(sl(3∣2))

Strong generators of the subregular W-algebra and combinatorial description at critical level

Screening operators and Parabolic inductions for Affine W-algebras (with an appendix by Shigenori Nakatsuka)

Finite $W$ -algebras of $osp_{1∣2 n}$ and Ghost centers

Relaxed and logarithmic modules of $sl_{3}$

Ito's conjecture and the coset construction for $W^{k} (sl (3∣2))$