Dyonic ISO(7) supergravity and the duality hierarchy

Abstract

Motivated by its well defined higher dimensional origin, a detailed study of D = 4 N = 8 supergravity with a dyonically gauged ISO(7) = SO(7) R 7 gauge group is performed. We write down the Lagrangian and describe the tensor and duality hierarchies, focusing on an interesting subsector with closed field equations and supersymmetry transformations. We then truncate the N = 8 theory to some smaller sectors with N = 2 and N = 1 supersymmetry and SU(3), G 2 and SO(4) bosonic symmetry. Canonical and superpotential formulations for these sectors are given, and their vacuum structure and spectra is analysed. Unlike the purely electric ISO(7) gauging, the dyonic gauging displays a rich structure of vacua, all of them AdS. We recover all previously known ones and find a new N = 1 vacuum with SU(3) symmetry and various non-supersymmetric vacua, all of them stable within the full N = 8 theory.

3D τ RR -minimization in AdS4 gauged supergravity

“…An analogous discussion holds for magnetic gauging, however the situation is more delicate for dyonic gauging, where one should apply a symplectic rotation to identify the correct combinations leading to real R-charges. As discussed in section 2 dyonic gaugings can thus be more subtle [19,20] and deserve further investigations.…”

“…Notice that there are cases where this is not possible [19,20], and this requires modifications in the analysis. We will leave this point to further investigations.…”

“…It would be interesting to study if it can be extended to other classes of theories, for example quiver gauge theories which are conjectured to be dual to massive type IIA backgrounds [19,20,51].…”

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

“…Consider now that the string length is much larger than the AdS 4 radius, L ∼ L string , then S ≫ L 2 string , and it corresponds to the limit ω → 1. Taking ω ≈ 1 + 2η for η ≪ 1, one can easily obtain 2ρ 0 = ln(1/η) and 13) so that the cusp anomalous dimension is found to be 14) and the proportionality constants are easily obtained from (2.11). Note that, in contrast to [2,52], the anomalous cusp dimensional scales as λ 1/3 instead of λ 1/2 .…”

“…A related symmetry group, namely the ISO(7) = SO(7) ⋉ R 7 , can be obtained from SO(8) through a Inönü-Wigner contraction [13]. 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.…”