2012

Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories

Amariti, Antonio, Franco, Sebastian

Understand

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 show the correspondence between the free energy F on S^3 and the volume of the 7-dimensional base of the associated CY_4, even before extremization.
Our results add to those existing in the literature, providing further support for the correspondence.

Built on

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