General solutions in Chern-Simons gravity and T T-deformations

2019/12/31 by Eva Llabrés, Llabrés, Eva
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1912.13330

openalex publication_date 2019/12/31 · openalex created_date 2021/01/18 · openalex updated_date 2026/07/28

Abstract

We find the most general solution to Chern-Simons AdS₃ gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection. We define a variational principle for Dirichlet boundary conditions and find the boundary stress tensor in the Chern-Simons formalism. Using this variational principle as the departure point, we show how to treat other choices of boundary conditions in this formalism, such as, including the mixed boundary conditions corresponding to a T T-deformation.

Citations

• 2 + 1 dimensional gravity as an exactly soluble system
• TT deformations in general dimensions
• Comments on holographic entanglements in cutoff AdS

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