SKM 2021 – wissenschaftliches Programm

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SYQC: Symposium Facets of many-body quantum chaos

SYQC 1: Facets of many-body quantum chaos

SYQC 1.1: Hauptvortrag

Dienstag, 28. September 2021, 13:30–14:00, Audimax 2

Holographic interpretation of SYK quantum chaos — •Alexander Altland — Institute for theoretical physics, University of Cologne, Germany

Since its introduction in 2015, the SYK model has been intensively researched, and at this point is the perhaps best understood model system of many body quantum chaos. However, when Kitaev first proposed the model, his motivation was to define the boundary theory of a two-to-one dimensional holographic correspondence. In this talk, we will address the question what the lessons learned about the SYK system in the past five years can teach us about the nature of candidate bulk theories. Looking at the problem through the lens of quantum chaos, we will argue that perturbative studies inspired by periodic orbit analysis go a long way, but not all, in identifying the gravitational bulk. The solution of the problem might lie in a symmetry breaking principle realized in all universality classes of quantum chaos, but not so far in the proposed bulk duals. We will suggest that this symmetry breaking must be present in bulk duals of chaotic boundary theories, and that the search for it might turn into a creative resource.