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University of Sydney Algebra Seminar

Justine Fasquel

Friday 14 Apr, 12-1pm, Place: Carslaw 173

Rationality and orthosymplectic Feigin-Semikhatov duality

W-algebras are vertex algebras associated to nilpotent elements of simple Lie algebras. They play an important role in physics as well as in mathematics. The rationality of W-algebras - i.e. the complete reducibility of modules - is a major and still open problem. In this talk, I will present several rationality results for W-algebras associated to subregular nilpotent elements of the Lie algebra so(2n+1) and applications to W-superalgebras. This is a joint work with Shigenori Nakatsuka (U. Alberta).