12 citations · 26 across the 5 of their papers we have counts for
5 papers
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…
Kazama-Suzuki coset construction and its inverse
Ryo Sato
We study the representation theory of the Kazama-Suzuki coset vertex operator superalgebra associated with the pair of a complex simple Lie algebra and its Cartan subalgebra. In th…
On resolution of highest weight modules over the superconformal algebra
Shinji Koshida, Ryo Sato
In this paper we construct Bernstein--Gelfand--Gelfand type resolution of simple highest weight modules over the simple vertex operator superalgebra of central char…
Equivalences between weight modules via coset constructions
Ryo Sato
In this paper we introduce a variant of weight modules for certain conformal vertex superalgebras as an appropriate framework of the supersymmetric coset constructi…