<p>Fetching techniques from generalized geometry and exceptional field theory, we develop a new method to identify consistent subsectors of four-dimensional gauged maximal supergravities that possess a (locally) geometric embedding in type IIB or 11D supergravity. We show that a subsector that is invariant under a structure group <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">G</mi></mrow><mrow><mi mathvariant="normal">S</mi></mrow></msub><mo>⊂</mo><msub><mrow><mi mathvariant="normal">E</mi></mrow><mrow><mn>7</mn><mo stretchy="false">(</mo><mn>7</mn><mo stretchy="false">)</mo></mrow></msub></mrow></math> can define a consistent truncation, even when <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">G</mi><mi mathvariant="normal">S</mi></msub></math> is not part of the symmetry of the gauged maximal supergravity. As an illustration of the method, type IIB supergravity on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi mathvariant="normal">S</mi><mn>1</mn></msup><mo>×</mo><msup><mi mathvariant="normal">S</mi><mn>5</mn></msup></math> is shown to admit a consistent truncation to pure <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mo>=</mo><mn>4</mn></math> gauged supergravity. Explicit uplift formulae are presented which provide a type IIB alternative to the M-theory embedding constructed by Cvetic, Lu, and Pope 25 years ago.</p>

Spain

Adolfo Guarino

Italy

Colin Sterckx

Mario Trigiante

Consistent <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi><mo>=</mo><mn>4</mn></math> truncation of type IIB supergravity on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">S</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>×</mo><msup><mrow><mi mathvariant="normal">S</mi></mrow><mrow><mn>5</mn></mrow></msup></mrow></math>

We construct the universal AdS4 black hole that asymptotes to the (φ, χ)-family of type IIB S-fold backgrounds dual to the conformal manifold of   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 2 S-fold CFT’s. We present the explicit type IIB embedding of such a universal black hole for two particular asymptotics: the   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 2 S-fold with U(2) symmetry at (φ, χ) = (0, 0) and the   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 4 S-fold with SO(4) symmetry at (φ, χ) = (1, 0). As a byproduct, we also present a novel two-parameter family of AdS2 × M8 supersymmetric S-fold backgrounds with M8 = ℍ 2 × S5 × S1 that features a parametrically-controlled scale separation involving some of the internal directions.

South Africa

Anik Rudra

Blackening S-folds

We use holography and four-dimensional   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 4 gauged supergravity to collect evidence for a large class of interconnected three-dimensional   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 2 conformal field theories. On the gravity side, we construct a one-parameter family of ISO(3) × ISO(3) gaugings of half-maximal supergravity containing a rich structure of   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 2 AdS4 solutions at fixed radius. By looking at excitations around these AdS4 solutions, the spectrum of low lying operators in the dual   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 2 CFT3’s is computed and further arranged into 𝔬𝔰(2|4) supermultiplets. Upon suitable removal of gauge redundancies, we identify the Zamolodchikov metric on the conformal manifold dual to the AdS4 moduli space, and recover previous results in the S-fold literature. Two special points of   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 4 supersymmetry enhancement occur. While one describes an S-fold CFT3 dual to a non-geometric type IIB twisted compactification, the string-theoretic realisation of the other, if any, is still lacking.

Miguel Chamorro-Burgos

Belgium

<math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 2 CFT3’s from   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 4 gauged supergravity

We provide the first holographic evidence for the existence of a nonsupersymmetric conformal manifold arising from exactly marginal but supersymmetry-breaking deformations of a superconformal three-dimensional field theory. In particular, we construct a 2-parameter nonsupersymmetric deformation of a supersymmetric AdS nongeometric background in type IIB string theory. We prove that the nonsupersymmetric backgrounds are perturbatively stable and also do not suffer from various nonperturbative instabilities. Finally, we argue that diffeomorphism symmetry protects our solutions against higher-derivative string corrections.

Alfredo Giambrone

Germany

Emanuel Malek

France

Henning Samtleben

Holographic evidence for nonsupersymmetric conformal manifolds

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   <math> <mi>s</mi> <mfenced> <mn>6</mn> </mfenced> </math>  $$ \mathfrak{s}(6) $$ -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   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 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.

Flat deformations of type IIB S-folds

Type IIB S-folds of the form AdS4 × S1 × S5 are conjectured to correspond to new strongly coupled three-dimensional CFT’s on a localised interface of SYM4. In this work we construct holographic RG flows on the D3-brane that generically connect anisotropic deformations of SYM4 in the UV to various S-fold CFT’s in the IR with different amounts of supersymmetry and flavour symmetries. Examples of holographic RG flows between S-fold CFT’s are also presented. Lastly a geometric interpretation of axion deformations is provided in terms of monodromies on the internal S5 when moving around the S1. Special attention is paid to the monodromy-induced patterns of symmetry breaking as classified by the mapping torus T  h (S5).

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

The S-fold description of Janus-type solutions of type IIB supergravity is investigated. This is done by first studying a U(1) × U (1) invariant sector of the four­ dimensional dyonically-gauged [SO(1) × SO(6)] × ℝ12 maximal supergravity that arises upon reduction of type IIB supergravity on ℝ × S5. Two AdS4 solutions preserving SU(3) and SO (6) gauge symmetry together with   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 1 and   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 0 supersymmetry are found within this sector. Fetching techniques from the E 7(7) exceptional field theory, these solutions are uplifted to ten-dimensional S-folds of type IIB Janus-type solutions of the form AdS4 × ℝ × M5. The solutions presented here are natural candidates for the holographic duals of three-dimensional   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 1 and   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 0 interface super-Yang-Mills theories with SU(3) and SU(4) internal symmetry.