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

TL;DR

This paper investigates semiclassical observables in a specific AdS/CFT duality involving a warped $AdS_4$ background and a 3D ${ m SYM}$-CS theory, revealing novel behaviors and dualities.

Contribution

It provides new insights into the behavior of baryon vertices, Wilson loops, and giant operators in the Guarino-Jafferis-Varela duality, highlighting level-rank duality and scaling laws.

Findings

Baryon vertices show unusual $N$ and $k$ dependence.

Wilson loops and high-spin operator dimensions scale as $(N/k)^{3/2}$.

Giant magnons and gravitons follow known laws from ${ m N}=4$ SYM.

Abstract

We study various semiclassical observables in the duality proposed by Guarino, Jafferis and Varela, between a warped $AdS_4\times$ squashed $S^6$ gravitational solution and a 3 dimensional ${\cal N}=2$ SYM-CS$_k$ conformal gauge theory, deformed from the maximal $SU(N)$ ${\cal N}=8$ SYM. Baryon vertices corresponding to particle-like branes have unusual behaviour 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 ${\cal N}=4$ SYM, and giant gravitons are also sub-determinant operators.