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

作者：Fujita Mitsutoshi^*

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2013, 88(6): 065027.

DOI：10.1103/PhysRevD.88.065027

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 AdS(4) x 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 Bogomol'nyi Prasad-Sommer field 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.

• 出版日期2013-9-25