Supersymmetric AdS 7 and AdS 6 vacua and their consistent truncations with vector multiplets

Malek, Emanuel (0000 0001 0790 4262, grid.450243.4, Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, 14476, Potsdam, Germany) ; Samtleben, Henning (0000 0001 2175 9188, grid.15140.31, Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342, Lyon, France) ; Camell, Valentí (0000 0001 2163 2777, grid.9122.8, Institut für Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universität Hannover, Appelstrasse 2, D-30167, Hannover, Germany)

12 April 2019

Abstract: Using exceptional field theory we construct supersymmetric warped AdS 7 vacua of massive IIA and AdS 6 vacua of IIB, as well as their consistent truncations including vector multiplets. We show that there are no consistent truncations of massive IIA supergravity around its supersymmetric AdS 7 vacua with vector multiplets when the Romans mass is non-vanishing. For AdS 6 vacua of IIB supergravity, we find that in addition to the consistent truncation to pure F(4) gauged SUGRA, the only other half-maximal truncations that are consistent result in F(4) gauged SUGRA coupled to one or two Abelian vector multiplets, to three non-Abelian vector multiplets, leading to an ISO(3) gauged SUGRA, or to three non-Abelian plus one Abelian vector multiplet, leading to an ISO(3) × U(1) gauged SUGRA. These consistent truncations with vector multiplets exist when the two holomorphic functions that define the AdS 6 vacua satisfy certain differential conditions which we derive. We use these to deduce that no globally regular AdS 6 solutions admit a consistent truncation to F(4) gauged SUGRA with two vector multiplets, and show that the Abelian T-dual of the Brandhuber-Oz vacuum allows a consistent truncation to F(4) gauged SUGRA with a single vector multiplet.

Published in: JHEP 1904 (2019) 088 DOI: 10.1007/JHEP04(2019)088
arXiv: 1901.11039
License: CC-BY-4.0

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