Observables in the Guarino-Jafferis-Varela/CS-SYM duality

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 N=2SYM−CSk conformal gauge theory, deformed from the maximal SU(N) N= 8 S Y 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 N=4SYM, and giant gravitons are also sub-determinant operators.