vix.ing · top · new · best · stats · spec

Size Operator and Spectral Clustering in the Two Coupled SYK Model

2026/08/03 by Juan Santos-Suárez, Martí Berenguer, Javier Mas +1
Physics and Astronomy · #hep-th #cond-mat.str-el #quant-ph

paper · pdf

5+22 pages, 4+5 figures

arxiv created 2026/08/03 · arxiv updated 2026/08/05

Abstract

At large N, two coupled Sachdev-Ye-Kitaev models realize an eternal traversable wormhole with a discrete spectrum. We show that at finite N the spectrum organizes into clusters labeled by operator size. Low-size clusters evolve into the conformal towers and define a weak-ergodicity-breaking subspace responsible for the long-lived wormhole revival dynamics. Moreover, the competition between size energy and size entropy provides a microscopic interpretation of the wormhole-black hole transition. These results reveal operator size as the bridge between the finite-N spectrum and the emergent gravitational physics at large N.

Citations