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Large D limit of general relativity: Near-boundary structure and Ricci flow

Feb. 06 - 14:30 - 2020

Speaker: Ryotaku Suzuki (Barcelona)

Title: Large D limit of General Relativity: Near-boundary structure and Ricci flow

In the large dimension limit, the black hole dynamics is known to be simplified remarkably, in which the horizon deformations are reconstructed as a fluid-like effective theory on the horizon, while the boundary degrees of freedom are decoupled away from the near horizon. Recently, it turns out that these boundary degrees of freedom have another mathematical description: Ricci flow. With some knowledge of the Ricci flow, we could understand analytically the topology-changing transition between the non-uniform black string and localized black hole at large D. Through this example, we will see how can the near-boundary structures be solved by the Ricci flow. We will also discuss about the possibilities of the other application like bulk reconstruction from the boundary in AdS.

Keywords: Higher dimensional black holes, Large D limit of General Relativity, Gregory-Laflamme instability

Room: Sala de Reuniões e Seminários (2nd Floor of physics building)

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