Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction

Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction

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 appro...

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Bibliographic Details
Main Authors: Micha Berkooz, Prithvi Narayan, Joan Simón
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of High Energy Physics
Subjects:
1/N Expansion
Random Systems
2D Gravity
Gauge-gravity correspondence
Online Access:http://link.springer.com/article/10.1007/JHEP08(2018)192
Description
Summary: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.
ISSN:1029-8479

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