BPS black holes from massive IIA on S6

Self Cite

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.

Section: Motivationmentioning

confidence: 54%

Halving ISO(7) supergravity

Guarino

Tarrío

Varela

2019

Self Cite

“…Thus, not only the black hole considered in [12] uplifts to D = 10, but in fact any other solution of minimal N = 2 supergravity does through those consistent embedding formulae. For example, the SU(3)-invariant, supersymmetric Reissner-Nordström black hole with constant scalars discussed in [75,76] can be more economically regarded as a solution of minimal N = 2 gauged supergravity. Also this black hole uplifts to IIA using the same formulae in [12] and section 4.1 here, as any other solution, supersymmetric or otherwise, of minimal D = 4 N = 2 supergravity does.…”

Section: Discussionmentioning

confidence: 99%

Minimal D 4 truncations of type I lA

Varela

2019

Consistent embeddings are found of the minimal N = 2 and N = 3 gauged supergravities in four dimensions into its maximally supersymmetric, N = 8, counterpart with a dyonic ISO(7) gauging. These minimal truncations retain the metric along with relevant U(1) and SO(3) R-symmetry gauge fields selected from the ISO(7) ones. The remaining ISO(7) gauge fields are turned off, with subtleties introduced by the dyonic gauging, and the scalars are fixed to their expectation values at the N = 2 and N = 3 vacua of the N = 8 theory. Using the truncation formulae for massive type IIA supergravity on the sixsphere to D = 4 N = 8 ISO(7) supergravity, the minimal D = 4 N = 2 and N = 3 gauged supergravities are then uplifted consistently to ten dimensions.

“…Since our line of reasoning did not require the explicit solution beyond the AdS 4 boundary conditions, it should be straightforward to generalize these arguments to theories with charged hypermultiplets where solutions are harder to find [40][41][42][43][44][45] but there are more avenues for embedding such theories into string or M-theory. It would also seem likely that our methods will generalize to asymptotically AdS solutions in other dimensions.…”

Section: Discussionmentioning

confidence: 99%

On the on-shell: the action of AdS4 black holes

Halmagyi

Lal

2018

We compute the on-shell action of static, BPS black holes in AdS 4 from N = 2 gauged supergravity coupled to vector multiplets and show that for a certain class it is equal to minus the entropy of the black hole. Holographic renormalization is used to demonstrate that with Neumann boundary conditions on the scalar fields, the divergent and finite contributions from the asymptotic boundary vanish. The entropy arises from the extrinsic curvature on Σ g × S 1 evaluated at the horizon, where Σ g may have any genus g ≥ 0. This provides a clarification of the equivalence between the partition function of the twisted ABJM theory on Σ g × S 1 and the entropy of the dual black hole solutions. It also demonstrates that the complete entropy resides on the AdS 2 × Σ g horizon geometry, implying the absence of hair for these gravity solutions.