The holographic conformal manifold of 3d $$ \mathcal{N} $$ = 2 S-fold SCFTs
Nikolay Bobev, Friðrik Freyr Gautason, Jesse van Muiden
Abstract
A bstract We employ a non-compact gauging of four-dimensional maximal supergravity to construct a two-parameter family of AdS 4 J-fold solutions preserving $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 supersymmetry. All solutions preserve $$ \mathfrak{u} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>u</mml:mi> </mml:math> (1) × $$ \mathfrak{u} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>u</mml:mi> </mml:math> (1) global symmetry and in special limits we recover the previously known $$ \mathfrak{su} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>su</mml:mi> </mml:math> (2) × $$ \mathfrak{u} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>u</mml:mi> </mml:math> (1) invariant $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 and $$ \mathfrak{su} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>su</mml:mi> </mml:math> (2) × $$ \mathfrak{su} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>su</mml:mi> </mml:math> (2) invariant $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 J-fold solutions. This family of AdS 4 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 $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 T [U( N )] theory of Gaiotto-Witten. We find the spectrum of supergravity excitations of the AdS 4 solutions and use it to study how the operator spectrum of the three-dimensional SCFT depends on the exactly marginal couplings.