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Summary: This research focuses on two-dimensional Liouville gravity and minimal string theory on spaces with fixed length boundaries. It investigates the gravitational dressing of bulk and boundary correlators in the disk and compares the results with a matrix model calculation for the (2, p) minimal string theory. Additionally, it explores the connection with a quantum deformation of SL(2,) and discusses the interpretation of the bulk theory as a 2D dilaton gravity model.
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Summary: The proposal suggests including a new class of topologies in the path integral of three-dimensional pure gravity to address negative aspects in the spectrum, leading to a nonperturbative shift of the BTZ extremality bound. A two-dimensional calculation using dimensionally reduced theory can capture the primary effects in the near extremal limit, as demonstrated through a study of a related two-dimensional theory of Jackiw-Teitelboim gravity with dynamic defects, which is shown to be equivalent to a matrix integral.
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Summary: Various two dimensional quantum gravity theories of Jackiw-Teitelboim (JT) form can be described as random matrix models, providing explicit descriptions of microstate degrees of freedom. By using a Fredholm determinant det(1-K), the statistics of energy levels and quenched free energy F-Q (T) of the system can be computed. These results are also relevant to quantum properties of black holes in higher dimensions.
PHYSICAL REVIEW LETTERS
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(2021)
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