545 citations · 13.6k across the 195 of their papers we have counts for
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T^σ_ρ(G) Theories and Their Hilbert Series
Stefano Cremonesi, Amihay Hanany, Noppadol Mekareeya +1
We give an explicit formula for the Higgs and Coulomb branch Hilbert series for the class of 3d N=4 superconformal gauge theories T^σ_ρ(G) corresponding to a set of D3 branes endin…
Coulomb Branch and The Moduli Space of Instantons
Stefano Cremonesi, Giulia Ferlito, Amihay Hanany +1
The moduli space of instantons on C^2 for any simple gauge group is studied using the Coulomb branch of N=4 gauge theories in three dimensions. For a given simple group G, the Hilb…
Highest Weight Generating Functions for Hilbert Series
Amihay Hanany, Rudolph Kalveks
We develop a new method for representing Hilbert series based on the highest weight Dynkin labels of their underlying symmetry groups. The method draws on plethystic functions and…
Mass-deformed Brane Tilings
Massimo Bianchi, Stefano Cremonesi, Amihay Hanany +3
We study renormalization group flows among N=1 SCFTs realized on the worldvolume of D3-branes probing toric Calabi-Yau singularities, thus admitting a brane tiling description. The…
Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 SCFT's
Michele Del Zotto, Amihay Hanany
The strongly interacting 4d N=2 SCFT's of type are the simplest examples of models in the class introduced by Cecotti, Neitzke, and Vafa in arXiv:1006.34…
Hilbert Series and Moduli Spaces of k U(N) Vortices
Amihay Hanany, Rak-Kyeong Seong
We study the moduli spaces of k U(N) vortices which are realized by the Higgs branch of a U(k) supersymmetric gauge theory. The theory has 4 supercharges and lives on k D1-branes i…