<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 initiate a systematic study of type II orientifold flux vacua in three dimensions including gauge and metric fluxes, O-planes and D-branes. We derive simple flux models (we dub them RSTU-models) that admit a description in terms of gauged supergravities with half-maximal   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 8 supersymmetry in three dimensions. As a landscape appetizer, we present various multi-parametric families of supersymmetric and non-supersymmetric AdS3 and Mkw3 vacua. Remarkably, negative masses turn out to be always absent in the spectrum of scalar fluctuations, thus making all the vacua perturbatively stable within half-maximal supergravity. We provide examples of non-supersymmetric type IIB AdS3 flux vacua which feature parametrically-controlled scale separation and come along with integer-valued conformal dimensions of the would-be dual CFT2 operators. We also comment on the implications of our results in light of the Swampland Program.

Álvaro Arboleya

Matteo Morittu

Type II orientifold flux vacua in 3D

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

Multiparametric families of nonsupersymmetric <math><mrow><msub><mrow><mi>EAdS</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math> flows as well as asymptotically <math><mrow><msub><mrow><mi>EAdS</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math> solitons and wormholes are constructed within the four-dimensional SO(8) gauged supergravity that describes the compactification of M-theory on <math><msup><mi>S</mi><mn>7</mn></msup></math>. More concretely, the solutions are found within the so-called STU model that describes the <math><mi>U</mi><mo>(</mo><mn>1</mn><msup><mo>)</mo><mn>4</mn></msup></math> invariant sector of the theory. The on-shell action and gravitational free energy are computed for the regular solutions, the latter being zero for the wormholes irrespective of supersymmetry. There are special loci in parameter space yielding solutions with enhanced (super)symmetry. Examples include a supersymmetric <math><mrow><msub><mrow><mi>EAdS</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math> flow with <math><mrow><mi>SO</mi><mo>(</mo><mn>4</mn><mo>)</mo><mo>×</mo><mi>SO</mi><mo>(</mo><mn>4</mn><mo>)</mo></mrow></math> symmetry dual to a specific real mass deformation of ABJM on <math><mrow><msup><mrow><mi>S</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></math> as well as a nonsupersymmetric wormhole with <math><mrow><mi>SU</mi><mo>(</mo><mn>3</mn><mo>)</mo><mo>×</mo><mi>U</mi><mo>(</mo><mn>1</mn><msup><mrow><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mrow></math> symmetry. Uplift formulas for these and other examples to Euclidean solutions of 11-dimensional supergravity are presented and their complex nature discussed.

Chile

Brazil

Andrés Anabalón

Euclidean flows, solitons, and wormholes in AdS space from M-theory

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

Multi-parametric and analytic families of four-dimensional AdS3 × ℝ (Janus) and AdS3 × ℝ+ (Hades) solutions are constructed in the SO(8) gauged supergravity that arises from the consistent reduction of eleven-dimensional supergravity on S7 . The solutions are generically non-supersymmetric, involve non-trivial running scalars and preserve a U(1)4 symmetry. Different patterns of (super) symmetry enhancement occur upon suitable adjustment of the free parameters which further control the boundary conditions of the running scalars. We concentrate on the non-supersymmetric Janus and Hades solutions with SU(3) × U(1)2 symmetry and provide their higher-dimensional description in terms of M-theory fluxes and membranes. Special attention is paid to a class of such Hades solutions dubbed “ridge flows” which resemble dielectric rotations of Coulomb branch flows previously investigated in the literature.

Janus and Hades in M-theory

We investigate supersymmetric flows in type IIB supergravity that preserve an SO(2, 2) space-time symmetry and asymptote to AdS 5 × S 5 at both endpoints. The flows are constructed as Janus-type ℝ × AdS 3 BPS domain-walls in the effective four-dimensional [SO(1, 1) × SO(6)] ⋉ ℝ12 gauged maximal supergravity describing the massless sector of type IIB supergravity compactified on S 1 × S 5. The compactification includes an S-duality hyperbolic twist along the S 1 which, when combined with an appropriate choice of boundary conditions for the running scalars, generates special flows that develop an S-fold regime at their core, thus enhancing the space-time symmetry there to SO(2, 3). Via the AdS/CFT correspondence, the flows constructed here are conjectured to describe conformal interfaces in a circle compactification of   <math> <mi>N</mi> </math>  $$ \mathcal{N} $$  = 4 SYM4.

South Korea

Minwoo Suh

S-folds and AdS 3 flows from the D3-brane

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).