M2-Branes and Fano 3-folds
  A class of supersymmetric gauge theories arising from M2-branes probing Calabi-Yau 4-folds which are cones over smooth toric Fano 3-folds is investigated. For each model, the toric data of the mesonic moduli space is derived using the forward algorithm. The generators of the mesonic moduli space are determined using Hilbert series. The spectrum of scaling dimensions for chiral operators is computed. 
John Davey, Amihay Hanany, Noppadol Mekareeya and Giuseppe Torri
hep-th