Work

Krylov Spread Complexity as Holographic Complexity beyond Jackiw-Teitelboim Gravity

Year: 2025

Type: article

Abstract: One of the important open problems in quantum black hole physics is a dual interpretation of holographic complexity proposals. To date the only quantitative match is the equality between the Krylov spread complexity in the triple-scaled Sachdev-Ye-Kitaev (SYK) model and the complexity = volume proposal in classical Jackiw-Teitelboim gravity. Our Letter utilizes the recent connection between the double-scaled SYK model and sine dilaton gravity to show that the quantitative relation between Krylov spread complexity and complexity = volume extends to finite temperatures and to full quantum regime on the gravity side at disk level. Furthermore, we isolate the first quantum correction to the complexity = volume proposal and propose to view it as a complexity of quantum fields in the bulk. The key lesson from our Letter is that gravity demands to assign complexity also to Euclidean state preparation.

Source: Physical Review Letters

DOI: 10.1103/spcr-jgm6

Authors: Michal P. Heller, Jacopo Papalini, Tim Schuhmann

Institution: Ghent University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: European Commission, Fonds Wetenschappelijk Onderzoek, European Research Council