Iberian Strings Meetings 

16/01/2017, 11:30 — 12:00 — Abreu Faro Amphitheatre
Federico Carta, Autónoma University of Madrid

Hilbert Series and Mixed Branches of $3d$, $N=4$, $T[SU(N)]$ theories

We consider mixed branches of $3d$, $N=4$, $T[SU(N)]$ theories. Motivated by the type IIB brane construction, we propose a restriction rule acting on the Hilbert Series of the full Coulomb branch that will truncate the magnetic charge summation only to the subset of BPS dressed monopole operators that arise in the Coulomb branch part of a given mixed branch. We check this proposal in explicit examples, and we further generalize it to the Higgs branch part of a given mixed branch, by exploiting $3d$ mirror symmetry. As a result, we are able to compute the Hilbert Series of any mixed branch of $T[SU(N)]$.

See also

CartaFederico.pdf