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A bstract We analyse the spectrum of KaluzaKlein excitations above three distinct families of $$ \mathcal{N} $$ N = 1 AdS 4 solutions of type IIB supergravity of typically nongeometric, Sfold type that have been recently found. For all three families, we provide the complete algebraic structure of their spectra, including the content of OSp(41) multiplets at all KaluzaKlein levels and their charges under the residual symmetry groups. We also provide extensive results for the multiplet dimensions using new methods derived from exceptional field theory, including complete, analytic results for one of the families. All three spectra show periodicity in the moduli that label the corresponding family of solutions. Finally, the compactness of these moduli is verified in some cases at the level of the fullyfledged type IIB uplifted solutions.more » « less

A bstract A holographic duality was recently established between an $$ \mathcal{N} $$ N = 4 nongeometric AdS 4 solution of type IIB supergravity in the socalled Sfold class, and a three dimensional conformal field theory (CFT) defined as a limit of $$ \mathcal{N} $$ N = 4 superYangMills at an interface. Using gauged supergravity, the $$ \mathcal{N} $$ N = 2 conformal manifold (CM) of this CFT has been assessed to be twodimensional. Here, we holographically characterise the large N operator spectrum of the marginallydeformed CFT. We do this by, firstly, providing the algebraic structure of the complete KaluzaKlein (KK) spectrum on the associated twoparameter family of AdS4 solutions. And, secondly, by computing the $$ \mathcal{N} $$ N = 2 supermultiplet dimensions at the first few KK levels on a lattice in the CM, using new exceptional field theory techniques. Our KK analysis also allows us to establish that, at least at large N , this $$ \mathcal{N} $$ N = 2 CM is topologically a noncompact cylindrical Riemann surface bounded on only one side.more » « less

A bstract New techniques based on Exceptional Field Theory have recently allowed for the calculation of the KaluzaKlein spectra of certain AdS 4 solutions of D = 11 and massive IIA supergravity. These are the solutions that consistently uplift on S 7 and S 6 from vacua of maximal fourdimensional supergravity with SO(8) and ISO(7) gaugings. In this paper, we provide an algorithmic procedure to compute the complete KaluzaKlein spectrum of five such AdS 4 solutions, all of them $$ \mathcal{N} $$ N = 1, and give the first few KaluzaKlein levels. These solutions preserve SO(3) and U(1) × U(1) internal symmetry in D = 11, and U(1) (two of them) and no continuous symmetry in type IIA. Together with previously discussed cases, our results exhaust the KaluzaKlein spectra of known supersymmetric AdS 4 solutions in D = 11 and type IIA in the relevant class.more » « less

null (Ed.)A bstract Exceptional Field Theory has been recently shown to be very powerful to compute KaluzaKlein spectra. Using these techniques, the mass matrix of KaluzaKlein vector perturbations about a specific class of AdS 4 solutions of D = 11 and massive type IIA supergravity is determined. These results are then employed to characterise the complete supersymmetric spectrum about some notable $$ \mathcal{N} $$ N = 2 and $$ \mathcal{N} $$ N = 3 AdS 4 solutions in this class, which are dual to specific threedimensional superconformal ChernSimons field theories.more » « less

null (Ed.)A bstract Using Exceptional Field Theory, we determine the infinitedimensional mass matrices for the gravitino and spin1 / 2 KaluzaKlein perturbations above a class of antide Sitter solutions of Mtheory and massive type IIA string theory with topologicallyspherical internal spaces. We then use these mass matrices to compute the spectrum of KaluzaKlein fermions about some solutions in this class with internal symmetry groups containing SU(3). Combining these results with previously known bosonic sectors of the spectra, we give the complete spectrum about some $$ \mathcal{N} $$ N = 1 and some nonsupersymmetric solutions in this class. The complete spectra are shown to enjoy certain generic features.more » « less

null (Ed.)A bstract A superpotential deformation that is cubic in one of the chiral superfields of ABJM makes the latter theory flow into a new $$ \mathcal{N} $$ N = 2 superconformal phase. This is holographically dual to a warped AdS 4 × w S 7 solution of Mtheory equipped with a squashed and stretched metric on S 7 . We determine the spectrum of spin2 operators of the cubic deformation at low energies by computing the spectrum of KaluzaKlein (KK) gravitons over the dual AdS 4 solution. We calculate, numerically, the complete graviton spectrum and, analytically, the spectrum of gravitons that belong to short multiplets. We also use group theory to assess the structure of the full KK spectrum, and conclude that $$ \mathcal{N} $$ N = 2 supermultiplets cannot be allocated KK level by KK level. This phenomenon, usually referred to as “space invaders scenario”, is also known to occur for another AdS 4 solution based on a different squashed S 7 .more » « less

null (Ed.)A bstract We classify the nonsupersymmetric, and perturbatively stable within D = 4, AdS vacua of maximal D = 4 supergravity with a dyonic ISO(7) gauging in a large sector of the supergravity. Seven such vacua are established within this sector, all of them giving rise to nonsupersymmetric AdS 4 × S 6 type IIA backgrounds with and without nontrivial warpings and with internal fluxes. Then, we analyse the dynamics of various probe D p  branes in these backgrounds searching for potential branejet instabilities. In all these cases, such instabilities are absent. Finally, an alternative decay channel through tunnelling is investigated, focusing on one of the seven backgrounds. We do not find instabilities either, but the analysis remains inconclusive.more » « less

null (Ed.)A bstract New renormalisation group flows of threedimensional ChernSimons theories with a single gauge group SU( N ) and adjoint matter are found holographically. These RG flows have an infrared fixed point given by a CFT with $$ \mathcal{N} $$ N = 3 supersymmetry and SU(2) flavour symmetry. The ultraviolet fixed point is again described by a CFT with either $$ \mathcal{N} $$ N = 2 and SU(3) symmetry or $$ \mathcal{N} $$ N = 1 and G 2 symmetry. The gauge/gravity duals of these RG flows are constructed as domainwall solutions of a gauged supergravity model in four dimensions that enjoys an embedding into massive IIA supergravity. A concrete RG flow that brings a mass deformation of the $$ \mathcal{N} $$ N = 2 CFT into the $$ \mathcal{N} $$ N = 3 CFT at low energies is described in detail.more » « less

null (Ed.)A bstract Vacua of different gaugings of D = 4 $$ \mathcal{N} $$ N = 8 supergravity that preserve the same supersymmetries and bosonic symmetry tend to exhibit the same universal mass spectrum within their respective supergravities. For AdS 4 vacua in gauged supergravities that arise upon consistent truncation of string/Mtheory, we show that this universality is lost at higher KaluzaKlein levels. However, universality is still maintained in a milder form, at least in the graviton sector: certain sums over a finite number of states remain universal. Further, we derive a mass matrix for KaluzaKlein gravitons which is valid for all the AdS 4 vacua in string/Mtheory that uplift from the gaugings of D = 4 $$ \mathcal{N} $$ N = 8 supergravity that we consider. The mild universality of graviton mass sums is related to the trace of this mass matrix.more » « less