String Theory Origin of DyonicN=8Supergravity and Its Chern-Simons Duals

Abstract

We clarify the higher-dimensional origin of a class of dyonic gaugings of D = 4 N = 8 supergravity recently discovered, when the gauge group is chosen to be ISO(7). This dyonically-gauged maximal supergravity arises from consistent truncation of massive IIA supergravity on S 6 , and its magnetic coupling constant descends directly from the Romans mass. The critical points of the supergravity uplift to new AdS4 massive type IIA vacua. We identify the corresponding CFT3 duals as superChern-Simons-matter theories with simple gauge group SU(N ) and level k given by the Romans mass. In particular, we find a critical point that uplifts to the first explicit N = 2 AdS4 massive IIA background. We compute its free energy and that of the candidate dual Chern-Simons theory by localisation to a solvable matrix model, and find perfect agreement. This provides the first AdS4/CFT3 precision match in massive type IIA string theory.

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

“…In [3] the authors showed that a consistent truncation of a massive type IIA SUGRA on the six sphere S 6 gives rise to the ISO(7)-dyonically-gauged SUGRA with the magnetic coupling constant related to the Romans mass. They also showed that this supergravity solution has a fixed point which uplifts to a new N = 2 AdS 4 × SS 5 solution, where SS 5 is the suspension of S 5 and is topologically equivalent to the six sphere S 6 [20].…”

“…where F (6) = −e φ/2 * F 4 , and the Hodge dual is taken with relation to the Einstein frame metric (2.1a), as the authors of [3] have shown. This integer will correspond to the rank of the gauge group in the field theory.…”

“…In this case, the field theory is an N = 2 Chern-Simons quiver gauge theory U(N ) G , where G is the Euler number of the resolved manifold. The authors in [20] argued that in the low energy, the D2-brane theory flows to a modification (resolution) of the gravity dual N = 2 AdS4 × SS 5 of GJV [3].…”

“…Recently however, a very interesting duality has been proposed in 3 dimensions by Guarino, Jafferis and Varela, between a fixed point of an N = 2 supersymmetric SU(N ) SYM gauge theory with a Chern-Simons term of level k added and string theory in a certain warped, squashed AdS 4 × S 6 background of massive type IIA theory [3]. The theory is still superconformal, but has less supersymmetry, has an extra parameter k that forms a 't Hooft coupling λ = N/k, and has both the SYM term interesting for particle physics and a CS term at level k that as we will see can dominate the IR and imply a certain interesting level-rank duality.…”

“…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 .…”