| Speaker: | Marcus Sperling (U Vienna) |
|---|---|
| Title: | Algebraic properties of the monopole formula |
| Date (JST): | 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. |
