Abstract

We study various semiclassical observables in the duality proposed by Guarino, Jafferis and Varela, between a warped AdS4× squashed S6 gravitational solution and a 3 dimensional mathcal{N}=2 mathrm{S}mathrm{Y}mathrm{M}-{mathrm{CS}}_k conformal gauge theory, deformed from the maximal SU(N) mathcal{N}=8mathrm{S}mathrm{Y}mathrm{M} . Baryonverticescorrespondingtoparticle-likebraneshaveunusualbehaviour with N and k and present strong evidence for a certain level-rank duality. Wilson loops and the anomalous dimensions of operators of high spin scale like (N/k)3/2. The entanglement entropy behaves like in a usual CFT. Giant magnon operators obey the same law as in 4 dimensional mathcal{N}=4 mathrm{S}mathrm{Y}mathrm{M} , and giant gravitons are also sub-determinant operators.

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