11 avril 2016 à 15 juillet 2016
Institut Henri Poincaré
Fuseau horaire Europe/Paris


Tudor Dimofte, Perimeter Institute and UC Davis

Title: 3d BPS states, monopoles, and a finite version of AGT

Abstract: While the richness of 4d wall crossing is absent in 3d theories, 3d BPS states still hold some fascinating structure. 3d N=4 theories have two distinct classes of half-BPS states, which might be called "particles'' and "vortices.'' I will describe the spectrum of BPS vortices in general 3d N=4 gauge theories, and the algebra of monopole operators that create and annihilate them. For particular theories, this leads to an action of finite W-algebras on the equivariant cohomology of vortex moduli spaces, thereby recovering and generalizing a "finite AGT correspondence" of Braverman-Feigin-Finkelberg-Rybnikov. (Similar constructions in 5d are expected to be related to the usual AGT correspondence.)

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