Sommaire:

I will explain how to compute the Hilbert series that
counts chiral operators parametrising the Coulomb branch of the
moduli space of 3d N=4 supersymmetric field theories. The formula has
applications to physics, such as to the study of infrared dualities
in three dimensions and of backgrounds with eight supercharges, as
well as to mathematics, where it provides a new way to characterise
hyperKähler cones as algebraic varieties. I will then show how the
Coulomb branch of certain 3d N=4 generalised quiver gauge theories
can be used to compute the Hilbert series of the moduli space
of k G-instantons, for any simple Lie group G.
The construction is alternative to the ADHM construction
that is only available for classical groups G.

Pour plus d'informations, merci de contacter Alexandrov S.