$$ \mathcal{N}=2 $$ moduli of AdS4 vacua: a fine-print study

Abstract

Abstract We analyze the moduli spaces near $$ \mathcal{N}=4 $$ N = 4 supersymmetric AdS4 vacua of string theory by combining and comparing various approaches: (a) the known exact solutions of Type IIB string theory with localized 5-brane sourcees; (b) the holographically dual 3d quiver gauge theories; (c) gauged supergravity; and (d) the representations of the superconformal algebra $$ \mathfrak{o}\mathfrak{s}\mathfrak{p}\left(4\left|4\right|\right) $$ o s p 4 4 . Short multiplets containing the marginal $$ \mathcal{N}=2 $$ N = 2 deformations transform in the (2; 0), (0; 2) or (1; 1) representations of the R-symmetry group SU(2) H × SU(2) C . The first two are classified by the chiral rings of the Higgs and Coulomb branches, while the latter contain mixed-branch operators. We identify the origin of these moduli in string theory, matching in particular the operators of the chiral rings with open strings on the magnetized 5-brane sources. Our results provide new evidence for the underlying holographic duality. The existence of a large number of bound-state moduli highlights the limitations of effective supergravity.