Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model

García-García, Antonio M.; Sá, Lucas; Verbaarschot, Jacobus J. M.; Yin, Can

doi:10.1103/PhysRevLett.132.061603

Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model

Journal Article · Wed Feb 07 23:00:00 EST 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.132.061603· OSTI ID:2293634

García-García, Antonio M.; ; Verbaarschot, Jacobus J. M.;

In the infrared limit, a nearly anti–de Sitter spacetime in two dimensions ( ${AdS}_{2}$ ) perturbed by a weak double trace deformation and a two-site ( $q > 2$ )-body Sachdev-Ye-Kitaev (SYK) model with $N$ Majoranas and a weak $2 r$ -body intersite coupling share the same near-conformal dynamics described by a traversable wormhole. We exploit this relation to propose a symmetry classification of traversable wormholes depending on $N$ , $q$ , and $r$ , with $q > 2 r$ , and confirm it by a level statistics analysis using exact diagonalization techniques. Intriguingly, a time-reversed state never results in a new state, so only six universality classes occur—A, AI, BDI, CI, C, and D—and different symmetry sectors of the model may belong to distinct universality classes.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

OSTI ID:: 2293634

Alternate ID(s):: OSTI ID: 2579656

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 6 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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