Dualities from largeNorbifold equivalence in Chern-Simons-matter theories with flavor

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 ChernSimons matter theory is described by AdS 4 × M 7 , where the tri-Sasaki manifold M 7 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.

Holographic renormalization group flows inN=3Chern-Simons-Matter theory fromN=34D gauged supergravity

“…It has been argued that the com- The structure of N = 3 multiplets and some properties of the dual SCFT have been studied in [12][13][14][15][16][17]. Furthermore, a generalization to quiver gauge theories has been considered more recently in [18][19][20][21][22][23].…”