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

Abstract

We study supersymmetric AdS_3times M^4 solutions of N=2 gauged supergravity in seven dimensions coupled to three vector multiplets with SO(4)sim SO(3)times 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=Sigma ^2times Sigma ^2 with Sigma ^2 being a Riemann surface, we obtain a large class of supersymmetric AdS_3times Sigma ^2times Sigma ^2 solutions preserving four supercharges and SO(2)times SO(2) symmetry for one of the Sigma ^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_3times H^2times H^2 solutions exist. Some of these are also solutions of pure N=2 gauged supergravity with SU(2)sim 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=Sigma ^2times Sigma ^2 case, it is possible to twist by SO(3)_{text {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_3times M^4times S^4 solutions in M-theory.