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Free energy v.s. Sasaki-Einstein volume for infinite families of M2-brane theories

Free energy v.s. Sasaki-Einstein volume for infinite families of M2-brane theories

We investigate infinite families of 3d N=2 superconformal Chern-Simons quivers with an arbitrarily large number of gauge groups arising on M2-branes over toric CY_4's. These theories have the same matter content and superpotential of those on D3-branes probing cones over L^{a,b,a} Sasaki-Einstein manifolds. For all these infinite families, we explicitly …