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We study large N orbifold equivalences involving three-dimensional N=3 andN=4 supersymmetric quiver Chern-Simons-matter theories. The gravity dual of theN=3 Chern-Simons-matter theory is described by AdS4xM7 where the tri-Sasakimanifold M7 is known as the Eschenburg space. We find evidence that a large Norbifold equivalence for the N=4 case continues from the M-theory limit to theweak-coupling limit. For the N=3 case, we find consistent large N equivalencesinvolving a projection changing the nodes of the gauge groups, and also for aprojection changing Chern-Simons levels where for the latter projection, theBPS monopole operators behave as expected in large N equivalence. For bothcases we show, using the gravity dual, that the critical temperature of theconfinement/deconfinement transition does not change and the entropy behaves asexpected under the orbifold equivalence. We show that large N orbifoldequivalence changing Chern-Simons levels can be explained using the planarequivalence in the mirror dual.

Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor