3 papers
math.QA2026
Zhu algebras of superconformal vertex algebras
Ryo Sato, Shintarou Yanagida
The purpose of this note is to demonstrate the advantages of Y.-Z.~Huang's definition of the Zhu algebra (Comm.\ Contemp.\ Math., 7 (2005), no.~5, 649--706) for an arbitrary vertex…
math.QA2024
SUSY structure of chiral de Rham complex from the factorization structure
Takumi Iwane, Shintarou Yanagida
We elucidate the comment in (Kapranov-Vasserot, Adv.\ Math., 2011, Remark 5.3.4) that the -dimensional factorization structure of the formal superloop space of a smooth algebr…
math.RT2024
-Racah probability distribution
Masahito Hayashi, Akihito Hora, Shintarou Yanagida
We introduce a certain discrete probability distribution having non-negative integer parameters and quantum parameter which arises from a zonal spheri…