Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity

We study supersymmetric AdS${}_3$×M${}^4$ solutions of N=2 gauged supergravity in seven dimensions coupled to three vector multiplets with SO(4)∼SO(3)×SO(3) gauge group and M${}^4$ being a four-manifold with constant curvature. The gauged supergravity admits two supersymmetric AdS${}_7$ critical points with SO(4) and SO(3) symmetries corresponding to N=(1,0) superconformal field theories (SCFTs) in six dimensions. For M${}^4$=Σ${}^2$×Σ${}^2$ with Σ${}^2$ being a Riemann surface, we obtain a large class of supersymmetric AdS${}_3$×Σ${}^2$×Σ${}^2$ solutions preserving four supercharges and SO(2)×SO(2) symmetry for one of the Σ${}^2$ being a hyperbolic space H${}^2$, and the solutions are dual to N=(2,0) SCFTs in two dimensions. For a smaller symmetry SO(2), only AdS${}_3$×H${}^2$×H${}^2$ solutions exist. Some of these are also solutions of pure N=2 gauged supergravity with SU(2)∼SO(3) gauge group. We numerically study domain walls interpolating between the two supersymmetric AdS${}_7$ vacua and these geometries. The solutions describe holographic RG flows across dimensions from N=(1,0) SCFTs in six dimensions to N=(2,0) two-dimensional SCFTs in the IR. Similar solutions for M${}^4$ being a Kahler four-cycle with negative curvature are also given. In addition, unlike M${}^4$=Σ${}^2$×Σ${}^2$ case, it is possible to twist by SO(3)diag gauge fields resulting in two-dimensional N=(1,0) SCFTs. Some of the solutions can be uplifted to eleven dimensions and provide a new class of AdS${}_3$×M${}^4$×S${}^4$ solutions in M-theory.