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2–6 Sept 2024
University of Southampton
Europe/London timezone

The Harry Dym hierarchy and AdS_3 General Relativity

3 Sept 2024, 15:10
20m
B44/LTB (University of Southampton)

B44/LTB

University of Southampton

Talk in parallel session Symmetries Parallel sessions

Speaker

Francisco Reyes (Universidad de Santiago de Chile)

Description

The novel connection between the asymptotic dynamics of 2+1 General Relativity with Integrable Systems has been studied recently due the possibility to explore holography beyond conformal symmetry. In this regard, we construct a set of suitable boundary conditions for the gravitational field which deforms those of Brown-Henneaux using negative powers of the central charge. Through a recursive method , we construct a novel infinite tower of conserved charges in involution under Poisson bracket. The boundary dynamics corresponds to the equations belonging to the Harry Dym hierarchy. For the simplest case, the theory admits black hole solutions such as the BTZ black hole.

Link to publication (if applicable)

https://arxiv.org/abs/2401.12338

Authors

Francisco Reyes (Universidad de Santiago de Chile) Dr Kristiansen Lara (Centro de Estudios Científicos - Universidad San Sebastián) Dr Miguel Pino (Universidad de Santiago de Chile)

Presentation materials