Minimal D 4 truncations of type I lA

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Exceptional Field Theory has been recently shown to be very powerful to compute Kaluza-Klein spectra. Using these techniques, the mass matrix of Kaluza-Klein vector perturbations about a specific class of AdS4 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 AdS4 solutions in this class, which are dual to specific three-dimensional superconformal Chern-Simons field theories.

“…in [63], in agreement with the general arguments of [64,65]. A similar result holds [66] for the CPW solution.…”

Section: Spectrum Of the N = 2 Solutionsupporting

confidence: 88%

“…Nonlinear consistent truncations to theories containing some of these multiplets are known. The consistent truncation predicted by[64,65] to the pure N = 3 gravity multiplet, MGRAV3, was constructed in[63]. A truncation that retains the singlet MGRAV3 and the LGINO3 was described in[62,68].…”

mentioning

confidence: 99%

Super-Chern-Simons spectra from exceptional field theory

Varela

2021

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“…Another way to engineer AdS 4 vacua with explicit 3d N = 2 field theory duals is to use D2branes in massive IIA string theory, see [55,56]. As shown recently in [57], building on the results in [4], this class of solutions again admits a truncation to minimal gauged supergravity in four dimensions. Using these results we can find an explicit realization of the black hole in Section 2 in massive IIA supergravity.…”

Section: D2-branesmentioning

confidence: 98%

Universal spinning black holes and theories of class $$ \mathcal{R} $$

Bobev

Crichigno

2019

We study a supersymmetric, rotating, electrically charged black hole in AdS 4 which is a solution of four-dimensional minimal gauged supergravity. Using holography we show that the free energy on S 3 and the superconformal index of the dual three-dimensional N = 2 SCFT, in the planar limit, are related in a simple universal way. This result applies to large classes of SCFTs constructed from branes in string and M-theory which we discuss in some detail. For theories of class R, which arise from N M5-branes wrapped on hyperbolic three-manifolds, we show that the superconformal index agrees with the black hole entropy in the large N limit. arXiv:1909.05873v2 [hep-th]

“…Whenever needed, the individual components of these matrices will be denoted m ij and bî j , following the notation of [15] with the index conventions of [46]. In fact, the uplifting formulae below take on the exact same form for the entire N = 4 , SO(3) R -invariant scalar sector [15] of ISO (7) supergravity, when m and b in (D.1) are replaced with the general SO(3) R -invariant expressions given in [15].…”

Section: Symmetries Along the Gy Flowmentioning

confidence: 99%

Flowing to $$ \mathcal{N} $$ = 3 Chern-Simons-matter theory

Guarino

Tarrío

Varela

2020

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New renormalisation group flows of three-dimensional Chern-Simons 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 N = 3 supersymmetry and SU(2) flavour symmetry. The ultraviolet fixed point is again described by a CFT with either N = 2 and SU(3) symmetry or N = 1 and G 2 symmetry. The gauge/gravity duals of these RG flows are constructed as domain-wall 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 N = 2 CFT into the N = 3 CFT at low energies is described in detail. arXiv:1910.06866v2 [hep-th] 30 Oct 2019 N = 1 and SU(3) flavour symmetry. The N = 2 and N = 3 gauge/gravity duals have concrete proposals [4] in terms of the field theories of [1, 2] with appropriate superpotentials.A network of BPS domain-wall configurations connecting two supersymmetric AdS 4 solutions with at least SU(3) gauge symmetry was uncovered in [14]. These domain-walls are displayed with black solid lines in Figure 1. The holographic duals of such domain-walls are renormalisation group (RG) flows between two different CFTs with at least SU(3) flavour symmetry. In addition, there are RG flows connecting a non-conformal theory in the ultraviolet (UV) to a CFT in the infrared (IR). The non-conformal theory is identified with the maximally supersymmetric Yang-Mills theory (SYM) in three dimensions deformed with a CS term, and describes the worldvolume of a stack of D2-branes in massive IIA. The domainwalls reaching the D2-branes in the UV are also represented in Figure 1 with black dashed lines. Flows involving the N = 3 CFT with SU(2) ≡ SO(3) R flavour symmetry as a fixed point were excluded from the analysis of [14]. The purpose of this paper is to fill this gap. We will show that this N = 3 CFT can serve as an IR fixed point by constructing new domain-wall solutions that end at this critical point. A natural, simplifying assumption is to request that the flows preserve the SO(3) R flavour of the IR phase. The SO(3) R -invariant sector of N = 8 ISO(7) supergravity that we recently constructed in [15] is thus the natural arena to construct these solutions.