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**1 - 3**of**3**### WITS-CTP-106 From Schurs to Giants in ABJ(M)

"... In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4 × CP3 as well as sheds more light on giant ..."

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In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4 × CP3 as well as sheds more light on giant graviton solutions in this background with additional NS B-field. Our main tool is a formula that we derive for extremal n-point functions of the single trace chiral primary operators in the free field theory limit. The formula expresses the correlators in terms of the two-point function of Schur polynomials labeled by hook diagrams and is valid for a large class of gauge theories. In particular, in N = 4 SYM, it proves the conjecture of [1].

### Dualities from large N orbifold 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 Chern-Simons-matter theory is described by AdS4 ×M7 where the tri-Sasaki manifold M7 is known as the Eschenburg space. We fin ..."

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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 AdS4 ×M7 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 a 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 confine-ment/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.