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…
Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
Stefano Cremonesi, Amihay Hanany, Noppadol Mekareeya +1
We evaluate the Coulomb branch Hilbert series of mirrors of three dimensional Sicilian theories, which arise from compactifying the theory with symmetry on a circl…
Coulomb branch Hilbert series and Hall-Littlewood polynomials
Stefano Cremonesi, Amihay Hanany, Noppadol Mekareeya +1
There has been a recent progress in understanding the chiral ring of 3d superconformal gauge theories by explicitly constructing an exact generating function (Hilbe…
Mirror Symmetry in Three Dimensions via Gauged Linear Quivers
Anindya Dey, Amihay Hanany, Peter Koroteev +1
Starting from mirror pairs consisting only of linear (framed A-type) quivers, we demonstrate that a wide class of three-dimensional quiver gauge theories with N=4 supersymmetry and…