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

DOI10.1007/JHEP08(2018)192zbMATH Open1396.83027arXiv1806.04380WikidataQ112153852 ScholiaQ112153852MaRDI QIDQ1783909

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Publication date: 21 September 2018

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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.

Full work available at URL: https://arxiv.org/abs/1806.04380

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