Wrapped branes and punctured horizons

Abstract

Large classes of AdSpsupergravity backgrounds describing the IR dynamicsofp-branes wrapped on a Riemann surface are determined by a solution to the Liouvilleequation. The regular solutions of this equation lead to the well-known wrapped branesupergravity solutions associated with the constant curvature metric on a compact Riemannsurface. We show that some singular solutions of the Liouville equation have a physicalinterpretation as explicit point-like brane sources on the Riemann surface. We uncover thedetails of this picture by focusing onN= 1theories of classSarising from M5-branes on apunctured Riemann surface. We present explicit AdS5solutions dual to these SCFTs andcheck the holographic duality by showing the non-trivial agreement of ’t Hooft anomalies.