S-folds and holographic RG flows on the D3-brane

We construct a continuous one parameter family of AdS4× S1× S5 S-fold solutions of type IIB string theory which have nontrivial SL(2, ℤ) monodromy in the S1 direction. The solutions span a subset of a conformal manifold that contains the known $$ \mathcal{N} $$ N = 4 S-fold SCFT in d = 3, and generically preserve $$ \mathcal{N} $$ N = 2 supersymmetry. We also construct RG flows across dimensions, from AdS5× S5, dual to $$ \mathcal{N} $$ N = 4, d = 4 SYM compactified with a twisted spatial circle, to various AdS4×S1×S5 S-fold solutions, dual to d = 3 SCFTs. We construct additional flows between the AdS5 dual of the Leigh-Strassler SCFT and an $$ \mathcal{N} $$ N = 2 S-fold as well as RG flows between various S-folds.

Section: Note Addedmentioning

confidence: 95%

Marginal deformations and RG flows for type IIB S-folds

Arav

Gauntlett

Roberts

et al. 2021

“…Both of them are invariant under a Z 2 subgroup of the S 4 symmetry group of the 14-scalar model. The first family of solutions, which we call Family I, is the one found in [6] and recently analyzed further in [35,36]. It is invariant under the discrete action Z 2 = h 2 |h 4 = e .…”

Section: Ads 4 Solutionsmentioning

confidence: 98%

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

Bobev

Gautason

Muiden

2021

We employ a non-compact gauging of four-dimensional maximal supergravity to construct a two-parameter family of AdS4 J-fold solutions preserving $$ \mathcal{N} $$ N = 2 supersymmetry. All solutions preserve $$ \mathfrak{u} $$ u (1) × $$ \mathfrak{u} $$ u (1) global symmetry and in special limits we recover the previously known $$ \mathfrak{su} $$ su (2) × $$ \mathfrak{u} $$ u (1) invariant $$ \mathcal{N} $$ N = 2 and $$ \mathfrak{su} $$ su (2) × $$ \mathfrak{su} $$ su (2) invariant $$ \mathcal{N} $$ 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 $$ \mathcal{N} $$ 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.

“…This interpretation holds for the parameters in (1.1) determining the other families of N = 0, 1 S-folds: they are also compact and induce a non-trivial monodromy on the internal S 5 when moving around S 1 . The specific monodromy element h(χ 1,2,3 ) controls the patterns of symmetry breaking as classified by the mapping torus T h (S 5 ) [21]. It would then be interesting to uplift the flat deformations χ 1,2 of the N = 4 and SO(4) symmetric S-fold to ten dimensions using E 7(7) -covariant Exceptional Field Theory techniques along the lines of [1,3,4].…”

Section: Jhep11(2021)171mentioning

confidence: 99%

“…To conclude, group-theoretical arguments put forward in [21] suggest that axion-like deformations should be related to one-form deformations of N = 4 SYM on R 1,2 × S 1 [32]. Such one-forms are often discarded within the context of Janus solutions by a gauge-fixing argument without much regard for large gauge transformations.…”

Section: Jhep11(2021)171mentioning

confidence: 99%

Flat deformations of type IIB S-folds

Guarino

Sterckx

2021

Self Cite

Type IIB S-folds of the form AdS4× S1× S5 have been shown to contain axion-like deformations parameterising flat directions in the 4D scalar potential and corresponding to marginal deformations of the dual S-fold CFT’s. In this note we present a group-theoretical characterisation of such flat deformations and provide a 5D interpretation thereof in terms of $$ \mathfrak{s}(6) $$ s 6 -valued duality twists inducing a class of Cremmer-Scherk-Schwarz flat gaugings in a reduction from 5D to 4D. In this manner we establish the existence of two flat deformations for the $$ \mathcal{N} $$ N = 4 and SO(4) symmetric S-fold causing a symmetry breaking down to its U(1)2 Cartan subgroup. The result is a new two-parameter family of non-supersymmetric S-folds which are perturbatively stable at the lower-dimensional supergravity level, thus providing the first examples of such type IIB backgrounds.