M2-Branes and Fano 3-folds

Understand

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.