Wrapped branes and punctured horizons

Large classes of AdSp supergravity backgrounds describing the IR dynamics of p-branes wrapped on a Riemann surface are determined by a solution to the Liouville equation. The regular solutions of this equation lead to the well-known wrapped brane supergravity solutions associated with the constant curvature metric on a compact Riemann surface. We show that some singular solutions of the Liouville equation have a physical interpretation as explicit point-like brane sources on the Riemann surface. We uncover the details of this picture by focusing on N = 1 theories of class S arising from M5-branes on a punctured Riemann surface. We present explicit AdS(5) solutions dual to these SCFTs and check the holographic duality by showing the non-trivial agreement of 't Hooft anomalies.