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FIELD Phys:StringTheory
DATE November 22 (Thu), 2018
TIME 12:00-14:00
PLACE 1423
SPEAKER Marcus Sperling
HOST Song, Jaewon
INSTITUTE Yau Mathematical Science Center
TITLE Resolutions of nilpotent orbit closures via the monopole formula

The monopole formula provides the Hilbert series of the Coulomb branch for a 3d N=4 gauge theory. After a brief reminder of the set-up, I will discuss how the two geometric notions "fan" and "monoid" can be very fruitful for the understanding of the monopole formula. In particular, these concepts allow to prove properties of the Hilbert series for any gauge theory and to identify a sufficient set of chiral ring generators.
In the second half, the focus will be placed on Coulomb branches of 3d N=4 quivers that are closures of (height two) nilpotent orbits of classical or exceptional Lie algebras. Turning on real mass deformations via background flavour charges in the monopole formula allows to systematically study resolutions of nilpotent orbits. I will exemplify how the results reproduce the existence and form of the resolution as well as the Mukai flops between multiple resolutions of the same orbit.

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