Evidence for the holographic dual of N = 3 solution in massive type IIA supergravity

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.

Section: Field Theorymentioning

confidence: 99%

“…3) with N f = 2 is not renormalised at strong coupling. At the extremum (3.10), the leading contribution of the N = 3 free energy becomes [30]…”

Section: Field Theorymentioning

confidence: 99%

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

Guarino

Tarrío

Varela

2020

“…The latter are dual [6] to three-dimensional superconformal field theories of the simple class discussed in [25,26], and arise as infrared Chern-Simons phases of the D2-brane field theory [27]. The field theory spectra have been partially determined holographically [28,29], and solutions of various types have been constructed in the gauged supergravity. These include domain-walls [27,30], defects [31] or black holes, both the full asymptotically-AdS geometries [32,33] and their near-horizon regions [34].…”

Section: Motivationmentioning

confidence: 99%

Halving ISO(7) supergravity

Guarino

Tarrío

Varela

2019

Half-maximal, N = 4 , sectors of D = 4 N = 8 supergravity with a dyonic ISO(7) gauging are investigated. We focus on a half-maximal sector including three vector multiplets, that arises as a certain SO(3) R -invariant sector of the full theory. We discuss the embedding of this sector into the largest halfmaximal sector of the N = 8 supergravity retaining six vector multiplets. We also provide its canonical N = 4 formulation and show that, from this perspective, our model leads in its own right to a new explicit gauging of N = 4 supergravity. Finally, expressions for the restricted duality hierarchy are given and the vacuum structure is investigated. Five new non-supersymmetric AdS vacua are found numerically. The previously known N = 2 and N = 3 AdS vacua are also contained in our N = 4 model. Unlike when embedded in previously considered sectors with fewer fields, these vacua exhibit their full N = 2 and N = 3 supersymmetry within our N = 4 model.

“…The first (flux-independent) term is proportional to 19) so at N = 0, the whole mass (WZ term plus DBI) is minimized by α = 0, at value M = 0. The second term however, is proportional to 3 + cos 2α 20) which is minimal at α = π/2 and maximal at α = 0.…”

Section: Jhep07(2017)020mentioning

confidence: 99%

“…Solutions with this symmetry also admit dyonic gaugings [10], studied further in [14], and it has been proved [15] that the purely electric solutions can be embedded into D = 11 supergravity as a consistent truncation on S 6 × S 1 . Moreover, the dyonic ISO(7) gauged SUGRA solutions arise as consistent truncations of massive type IIA solution on a squashed 6-sphere (shown also in [16]), that we denote by SS 5 , and preserve up to N = 3 supersymmetries [3,[17][18][19] of the total N = 8. The magnetic coupling constant m is identified with the Romans mass F 0 .…”

Section: Jhep07(2017)020 1 Introductionmentioning

confidence: 99%

Observables in the Guarino-Jafferis-Varela/CS-SYM duality

Araujo

Năstase

2017

Abstract:We study various semiclassical observables in the duality proposed by Guarino, Jafferis and Varela, between a warped AdS 4 × squashed S 6 gravitational solution and a 3 dimensional N = 2 SYM-CS k conformal gauge theory, deformed from the maximal SU(N ) N = 8 SYM. Baryon vertices corresponding to particle-like branes have unusual behaviour with N and k and present strong evidence for a certain level-rank duality. Wilson loops and the anomalous dimensions of operators of high spin scale like (N/k) 3/2 . The entanglement entropy behaves like in a usual CFT. Giant magnon operators obey the same law as in 4 dimensional N = 4 SYM, and giant gravitons are also sub-determinant operators.