Semiclassics of three-dimensional SCFTs from holography

Abstract

We use holography to compute the large-N effective field theory along the moduli space of vacua of an infinite class of three-dimensional N = 2 SCFTs admitting a dual M-theory description. We focus in particular on toric models and show how the spectrum of large R-charge SCFT chiral scalar operators corresponds to a set of explicit semiclassical solutions of our effective field theory, which describe bound states of backreacting giant gravitons and baryonic-like M5branes. Our semiclassical description allows for a direct computation of the scaling dimensions of these operators and provides a starting point for a semiclassical investigation of the SCFT data in the large R-charge sector. We consider the models corresponding to the Y 12 (P 2 ) and Q 111 Sasaki-Einstein spaces as explicit examples.