Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
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In this article, the exact 2-point function of certain physically motivated operators in SYK-like spin glass models is computed, bypassing the Schwinger-Dyson equations, and the results are exact at all time scales.Abstract:
The exact 2-point function of certain physically motivated operators in SYK-like spin glass models is computed, bypassing the Schwinger-Dyson equations. The models possess an IR low energy conformal window, but our results are exact at all time scales. The main tool developed is a new approach to the combinatorics of chord diagrams, allowing to rewrite the spin glass system using an auxiliary Hilbert space, and Hamiltonian, built on the space of open chord diagrams. We argue the latter can be interpreted as the bulk description and that it reduces to the Schwarzian action in the low energy limit.read more
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Defects in Jackiw-Teitelboim Quantum Gravity
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The Schwarzian theory — a Wilson line perspective
TL;DR: In this paper, a holographic perspective on correlation functions in Schwarzian quantum mechanics, as boundary-anchored Wilson line correlators in Jackiw-Teitelboim gravity, is provided.
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The Schwarzian Theory - A Wilson Line Perspective
TL;DR: In this article, a holographic perspective on correlation functions in Schwarzian quantum mechanics, as boundary-anchored Wilson line correlators in Jackiw-Teitelboim gravity, is provided.
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Fine structure of Jackiw-Teitelboim quantum gravity
TL;DR: In this article, structural aspects of JT gravity through its BF description are investigated, and it is found that the one-sided gravity degrees of freedom are described not just by a Schwarzian on the asymptotic boundary, but also by frozen SL+(2, ℝ) degrees on the horizon.
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Liouville quantum gravity -- holography, JT and matrices
TL;DR: In this article, Liouville gravity and minimal string theory on spaces with fixed length boundaries were studied, and explicit formulas describing the gravitational dressing of bulk and boundary correlators in the disk were given.
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