The holographic conformal manifold of 3d N $$ \mathcal{N} $$ = 2 S-fold SCFTs

Abstract

Abstract We employ a non-compact gauging of four-dimensional maximal supergravity to construct a two-parameter family of AdS4 J-fold solutions preserving N $$ \mathcal{N} $$ = 2 supersymmetry. All solutions preserve u $$ \mathfrak{u} $$ (1) × u $$ \mathfrak{u} $$ (1) global symmetry and in special limits we recover the previously known su $$ \mathfrak{su} $$ (2) × u $$ \mathfrak{u} $$ (1) invariant N $$ \mathcal{N} $$ = 2 and su $$ \mathfrak{su} $$ (2) × su $$ \mathfrak{su} $$ (2) invariant N $$ \mathcal{N} $$ = 4 J-fold solutions. This family of AdS4 backgrounds can be uplifted to type IIB string theory and is holographically dual to the conformal manifold of a class of three-dimensional S-fold SCFTs obtained from the N $$ \mathcal{N} $$ = 4 T [U(N)] theory of Gaiotto-Witten. We find the spectrum of supergravity excitations of the AdS4 solutions and use it to study how the operator spectrum of the three-dimensional SCFT depends on the exactly marginal couplings.

Keywords

• AdS-CFT Correspondence
• Conformal Field Theory
• Gauge-gravity correspondence
• Superstring Vacua