Wrapped branes and punctured horizons

DOI10.1007/JHEP06(2020)011zbMATH Open1437.83147arXiv1912.04779WikidataQ126048660 ScholiaQ126048660MaRDI QIDQ783820

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Publication date: 4 August 2020

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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 $mathcalN=1$ theories of class $mathcalS$ 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.

Full work available at URL: https://arxiv.org/abs/1912.04779

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