Holographic evidence for nonsupersymmetric conformal manifolds

Giambrone, Alfredo; Guarino, Adolfo; Malek, Emanuel; Samtleben, Henning; Sterckx, Colin; Trigiante, Mario

doi:10.1103/physrevd.105.066018

Cited by 25 publications

(41 citation statements)

References 44 publications

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“…This S-fold solution appeared originally in [8] and has later been reinterpreted in [25]. Taking advantage of the SO(4) ∼ SO(3) 1 × SO(3) 2 symmetry of the solution, which is identified with the R-symmetry group of the dual N = 4 S-fold CFT, it proves convenient to describe the five-sphere S 5 as a product of two two-spheres S 2 𝑖=1,2 fibered over an interval 𝐼.…”

Section: N = 4 and So(4) Symmetric S-foldmentioning

confidence: 90%

“…The 𝜕 𝛼 O 𝜕 𝛼 Ō deformation is not a holomorphic deformation of the superpotential and therefore would break all the supersymmetries. This was used as evidence for the existence of non-supersymmetric conformal manifolds in [25]. Additional insights into the holographic aspects of the S-fold backgrounds discussed in this proceeding have also come from the study of holographic RG-flows on the D3-brane [22,42].…”

Section: Flat Deformations Of Type Iib S-folds: Holographic Picturementioning

confidence: 95%

“…It was previously stated that the 𝜒 𝑖 deformations turn out to be compact parameters in a higher-dimensional picture. To illustrate this in an example, we present here the ten-dimensional uplift of the ( 𝜒 1 , 𝜒 2 )-family of deformations of the N = 4 S-fold [25]. Choosing an appropriate Cartan subalgebra of so(4) to parameterise the constant deformations ( 𝜒 1 , 𝜒 2 ), one finds the same ten-dimensional S-fold solution as in section 2.1 with one crucial difference: the one-forms 𝑑𝜑 𝑖 along the azimutal angles of the two-spheres S 2 𝑖 in ( 8)-( 9) get replaced by new one-forms 𝑑𝜑 𝑖 + 𝜒 𝑖 𝑑𝜂.…”

Section: Ten-dimensional Picturementioning

confidence: 99%

“…level [25]. In other words, modes sitting at different KK levels get reshuffled amongst themselves but the full (higher-dimensional) KK spectrum becomes periodic under the shift 𝜒 𝑖 → 𝜒 𝑖 + 2 𝜋 𝑇 .…”

Section: Ten-dimensional Picturementioning

confidence: 99%

“…Moreover, it was further argued that a shift 𝑊 eff → 𝑊 eff + 𝜆 Tr(𝜇 𝐻 𝜇 𝐶 ) with 𝜆 ∈ C would represent an exactly marginal deformation breaking N = 4 down to N = 2 [26] . Building upon these ideas, it was subsequently suggested in [25] that adding an additional 𝜒-like flat deformation would also correspond to an exactly marginal deformation of the three-dimensional Lagrangian of the form 𝜕 𝛼 O 𝜕 𝛼 Ō with O ≡ Tr(𝜇 𝐻 μ𝐶 ) with 𝜕 𝛼 denoting the partial derivatives with respect to (real) scalar fields. The 𝜕 𝛼 O 𝜕 𝛼 Ō deformation is not a holomorphic deformation of the superpotential and therefore would break all the supersymmetries.…”

Section: Flat Deformations Of Type Iib S-folds: Holographic Picturementioning

confidence: 99%

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Type IIB S-folds: flat deformations, holography and stability

Guarino¹,

Sterckx²

2022

Preprint

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We review recent progress in the study of S-folds in light of the gauge/gravity duality and the AdS swampland conjecture. S-folds correspond to non-geometric backgrounds of type IIB supergravity of the form AdS 4 × S 1 × M that involve a non-trivial SL(2, Z) (S-duality) monodromy for the type IIB fields when moving around the S 1 . We present four such solutions with M = S 5 that preserve N = 4, 2, 1, 0 supersymmetries. Via the AdS/CFT correspondence, these solutions are conjectured to describe new strongly coupled three-dimensional CFT's on a localised interface of SYM. We discuss the existence of flat deformations in the gravity side dual to marginal deformations of the conjectured S-fold CFT's. From a geometrical perspective, the flat deformations induce a monodromy ℎ on M and replace S 1 × M by the so-called mapping torus 𝑇 (M) ℎ . Interestingly, the flat deformations provide a controlled mechanism of supersymmetry breaking for N ≥ 2 S-folds. We present a class of such non-supersymmetric S-folds obtained by flat-deforming the N = 4 S-fold and discuss their (non-)perturbative stability.

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Section: N = 4 and So(4) Symmetric S-foldmentioning

confidence: 90%

Section: Flat Deformations Of Type Iib S-folds: Holographic Picturementioning

confidence: 95%

Section: Ten-dimensional Picturementioning

confidence: 99%

Section: Ten-dimensional Picturementioning

confidence: 99%

Section: Flat Deformations Of Type Iib S-folds: Holographic Picturementioning

confidence: 99%

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Type IIB S-folds: flat deformations, holography and stability

Guarino¹,

Sterckx²

2022

Preprint

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The complete Kaluza-Klein spectra of $$ \mathcal{N} $$ = 1 and $$ \mathcal{N} $$ = 0 M-theory on AdS4 × (squashed S7)

Karlsson,

Nilsson

2024

J. High Energ. Phys.

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The squashed seven-sphere operator spectrum is completed by deriving the spectrum of the spin-3/2 operator. The implications of the results for the AdS4$$ \mathcal{N} $$ N = 1 supermultiplets obtained from compactification of eleven-dimensional supergravity are analysed. The weak G2 holonomy plays an important role when solving the eigenvalue equations on the squashed sphere. Here, a novel and more universal algebraic approach to the whole eigenvalue problem on coset manifolds is provided. Having obtained full control of all the operator spectra, we can finally determine the irreps D(E0, s) for all supermultiplets in the left-squashed vacuum. This includes an analysis of possible boundary conditions. By performing an orientation flip on the seven-sphere, we also obtain the full spectrum for the non-supersymmetric right-squashed compactification which is of interest in the swampland context and in particular for the AdS swampland conjecture. Here, a number of boundary condition ambiguities arise making the analysis of dual marginal operators somewhat involved. This work is a direct continuation of [1] and [2].

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Singular limits in STU supergravity

Larios,

Pope,

Zhang

2024

J. High Energ. Phys.

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We analyse the STU sectors of the four-dimensional maximal gauged supergravities with gauge groups SO(8), SO(6) ⋉ ℝ12 and [SO(6) × SO(2)] ⋉ ℝ12, and construct new domain-wall black-hole solutions in D = 4. The consistent Kaluza-Klein embedding of these theories is obtained using the techniques of Exceptional Field Theory combined with the 4d tensor hierarchies, and their respective uplifts into D = 11 and type IIB supergravities are connected through singular limits that relate the different gaugings.

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Holographic evidence for nonsupersymmetric conformal manifolds

Cited by 25 publications

References 44 publications

Type IIB S-folds: flat deformations, holography and stability

Type IIB S-folds: flat deformations, holography and stability

The complete Kaluza-Klein spectra of $$ \mathcal{N} $$ = 1 and $$ \mathcal{N} $$ = 0 M-theory on AdS4 × (squashed S7)

Singular limits in STU supergravity

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