A folded string dual for the Sachdev-Ye-Kitaev model

2025/09/05 by David Vegh, Vegh, David · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Chromodynamics and Particle Interactions #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2509.05435

openalex publication_date 2025/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a folded string moving in rigid AdS₂ with imaginary radius squared as a dual of the Sachdev-Ye-Kitaev (SYK) model at its conformal fixed point. In standard AdS₂, the string is represented by two massless particles connected by straight string segments. The particles move at the speed of light, abruptly reversing direction at turning points. We describe the system using the lightcone coordinates of these points, with the Poisson structure obtained from the Peierls bracket. In AdS₂ with imaginary radius squared, quantization of the string's mass-squared in momentum-fraction space yields a Pöschl-Teller equation, reproducing the SYK operator spectrum.

Citations

• Quantizing the folded string in AdS₂
• The Discreet Charm of the Discrete Series in DS₂
• Integrable Feynman Graphs and Yangian Symmetry on the Loom
• The 't Hooft equation as a quantum spectral curve
• Comments on the Sachdev-Ye-Kitaev model
• Segmented strings coupled to a B-field
• Segmented strings from a different angle
• Folded Strings in Curved Spacetime

Cited by

• Stringy algebras, stretched horizons, and quantum-connected wormholes

Related

• Quantizing the folded string in AdS₂
• Folded Strings in Curved Spacetime
• AdS String: Classical Solutions and Moduli Dynamics
• Segmented strings from a different angle
• Spiky strings in \varkappa-deformed AdS