The one-loop partition function for non-relativistic de Sitter gravity yields a T² prefactor consistent with four symmetry generators, and the bulk admits a torsionless Newton-Cartan geometry satisfying the non-relativistic JT equations.
Sárosi,AdS 2 holography and the SYK model,PoSModave2017(2018) 001 [1711.08482]
5 Pith papers cite this work. Polarity classification is still indexing.
abstract
These are lecture notes based on a series of lectures presented at the XIII Modave Summer School in Mathematical physics aimed at PhD students and young postdocs. The goal is to give an introduction to some of the recent developments in understanding holography in two bulk dimensions, and its connection to microscopics of near extremal black holes. The first part reviews the motivation to study, and the problems (and their interpretations) with holography for AdS$_2$ spaces. The second part is about the Jackiw-Teitelboim theory and nearly-AdS$_2$ spaces. The third part introduces the Sachdev-Ye-Kitaev model, reviews some of the basic calculations and discusses what features make the model exciting.
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In gapped random matrix systems with parametrically many degenerate ground states, the spectral form factor at low temperatures is dominated by the disconnected contribution at all times, while the connected form factor depends only on the non-degenerate eigenvalues.
In the double-scaled SYK model with an end-of-the-world brane, the boundary algebra for a single-sided black hole is a type II1 von Neumann factor with non-trivial commutant, preventing full bulk reconstruction and creating a no man's island behind the horizon.
Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via higher-dimensional AdS/CFT.
Numerical confirmation that SYK models reproduce RMT spectral edge statistics, yielding power-law quenched entropy at low T and enabling large-N entanglement entropy calculations for supersymmetric wormholes.
citing papers explorer
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Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
The one-loop partition function for non-relativistic de Sitter gravity yields a T² prefactor consistent with four symmetry generators, and the bulk admits a torsionless Newton-Cartan geometry satisfying the non-relativistic JT equations.
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Spectral Form Factor of Gapped Random Matrix Systems
In gapped random matrix systems with parametrically many degenerate ground states, the spectral form factor at low temperatures is dominated by the disconnected contribution at all times, while the connected form factor depends only on the non-degenerate eigenvalues.
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Single-Sided Black Holes in Double-Scaled SYK Model and No Man's Island
In the double-scaled SYK model with an end-of-the-world brane, the boundary algebra for a single-sided black hole is a type II1 von Neumann factor with non-trivial commutant, preventing full bulk reconstruction and creating a no man's island behind the horizon.
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Probing decoupled Throats of AdS$_{D}$ Black Holes in $D=6,7$
Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via higher-dimensional AdS/CFT.
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Exploring the Spectral Edge in SYK Models
Numerical confirmation that SYK models reproduce RMT spectral edge statistics, yielding power-law quenched entropy at low T and enabling large-N entanglement entropy calculations for supersymmetric wormholes.