On Gaiotto-Rapcak's dualities in W-superalgebras and their affine cosets

2020/05/28 Thu 10:30 - 12:00
Shigenori Nakatsuka
Kavli IPMU

The principal affine W-algebras enjoy the Feigin-Frenkel duality and the Goddard-Kent-Olive construction if associated with simply-laced Lie algebras. Recently, Gaiotto and Rapcak proposed a generalization of this triality (or dualities) among W-superalgebras(and their affine cosets) by using the 4-dimensional N=4 super Yang-Mills theories. In this talk, we prove the Feigin-Frenkel type duality between the Heisenberg cosets of the subregular W-algebras and the principal W-superalgebras for A and B-types. This is a joint work with T. Creutzig and N. Genra.

(This seminar was held on zoom.)