Emanuel Malek (Germany): Exceptional geometry of supersymmetric AdS vacua

In this talk, I will show how exceptional field theory can be used to construct 1/2‐ maximally supersymmetric AdS vacua of 10/11‐dimensional supergravity and their consistent truncations. In particular, I will show how to easily recover the class of infinitely‐many supersymmetric AdS_7 vacua of massive IIA and AdS_6 vacua of IIB which were recently constructed in the literature. Next, I will show how this framework can be used to immediately obtain the "minimal" consistent truncation around these
AdS vacua in which only the gravitational supermultiplet of the lower‐dimensional
supergravity is kept. Finally, I will classify all possible consistent truncations around
these AdS vacua containing additional matter multiplets. I will thus show there are no
consistent truncations with vector multiplets for the AdS_7 vacua with Roman's mass
and give precise differential conditions for the AdS_6 vacua of IIB to allow consistent
truncations vector multiplets