MS Seminar (Mathematics - String Theory)

Speaker: Marcus Sperling (U Vienna)
Title: Algebraic properties of the monopole formula
Date: Tue, Oct 24, 2017, 13:15 - 14:30
Place: Seminar Room A
Abstract: The monopole formula provides the Hilbert series of the Coulomb branch for a 3-dimensional N = 4 gauge theory. In this talk, I will discuss how the two geometric notions "fan" and "monoid" can be very fruitful for the understanding of the monopole formula.
After a brief reminder of the monopole formula, I will introduce the matter fan and reorganise the monopole formula accordingly. I then discuss the resulting benefits such as:
(1) Explicit expressions for the Hilbert series for any gauge group.
(2) Proof that the order of the pole at t=1 and t → ∞ equals the complex or quaternionic dimension of the Coulomb branch.
(3) Identification of a sufficient set of chiral ring generators.