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Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
M. Berkooz, , J. Simón
Published in Springer Verlag
Volume: 2018
Issue: 8
Pages: 1 - 39
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. © 2018, The Author(s).
About the journal
JournalData powered by TypesetJournal of High Energy Physics
PublisherData powered by TypesetSpringer Verlag
Open AccessNo