Wrapped Branes and Punctured Horizons

Abstract

Large classes of AdS${}_p$ 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 $\mathcal{N}=1$ theories of class $\mathcal{S}$ 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.

arXiv comment58 pages, 8 figures

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Cited by in corpus (12)

• Euclidean Black Saddles and AdS${}_4$ Black Holes
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Holographic Duals of Argyres-Douglas Theories
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• Anomaly Inflow Methods for SCFT Constructions in Type IIB
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Holographic description of SCFT${}_5$ compactifications
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Holographic Uniformization and Black Hole Attractors
• Holographic Generalised Gukov-Witten Defects
• The Massive Supermembrane on a Knot
• Wrapped M5-branes and AdS${}_5$ Black Holes