# String Theory Seminar

### All $AdS_7$ solutions in type II supergravity, and their CFT duals

In M-theory, the only $AdS_7$ supersymmetric solutions are $AdS_7 \times S^4$ and its orbifolds. In this talk, I will first describe a classification of $AdS_7$ supersymmetric solutions in type II supergravity. While in IIB none exist, in IIA with Romans mass (which does not lift to M-theory) there are many new ones. Pure spinor methods determine the metric and fluxes without the need for any Ansatz, up to solving a system of ODEs. The internal space $M_3$ is an $S^2$ fibration over an interval. I will then propose the holographically dual $(1,0)$ CFTs in six dimensions. It is conjectured that the $AdS_7$ duals represent near-horizon limits of NS5-D6-D8 systems in flat space. The new field theories arise as endpoints of RG flows triggered by expectation values on the Higgs branch of the $(1,0)$ theory describing multiple M5 branes transverse to an orbifold singularity.