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

TL;DR

This paper investigates large N orbifold equivalences in three-dimensional supersymmetric Chern-Simons-matter theories with flavor, demonstrating their validity across different coupling regimes and analyzing their gravity duals and phase transition behaviors.

Contribution

It provides new evidence for large N orbifold equivalences in N=3 and N=4 supersymmetric theories, including cases involving gauge node projections and Chern-Simons level changes, supported by gravity dual analysis.

Findings

Large N orbifold equivalence persists from M-theory to weak coupling in N=4 theories.

Consistent orbifold equivalences are found for N=3 theories involving gauge node and Chern-Simons level projections.

Critical temperature and entropy of phase transitions remain unchanged under orbifold projections.

Abstract

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