Naoki Genra

activity

20182022

collaborators

7 papers

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.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 $sl (1∣ n), osp (2∣2 n)$ . The type A case…

hep-th2020

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 $g$ and an $sl (2)$ -embedding into $g$ . We derive corresp…

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…