Bi-Local Holography in the SYK Model: Perturbations

Abstract

We continue the study of the Sachdev-Ye-Kitaev model in the Large $N$ limit. Following our formulation in terms of bi-local collective fields with dynamical reparametrization symmetry, we perform perturbative calculations around the conformal IR point.

arXiv comment27 pages, 1 figure; v2: minor corrections and reference added; v3: minor corrections, reference added, and version to appear in JHEP; v4: corrected evaluations given

References in corpus (18)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• An Investigation of AdS${}_2$ Backreaction and Holography
• Bekenstein-Hawking Entropy and Strange Metals
• Holographic metals and the fractionalized Fermi liquid
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Numerical study of fermion and boson models with infinite-range random interactions
• Mean-Field Theory of a Quantum Heisenberg Spin Glass
• Landau theory of quantum spin glasses of rotors and Ising spins
• Digital Quantum Simulation of Minimal AdS/CFT
• Large-N Collective Fields and Holography
• Models of AdS_2 Backreaction and Holography
• Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space
• Holographic impurities and Kondo effect
• 1/N and Loop Corrections in Higher Spin AdS_4/CFT_3 Duality
• Aspects of AdS${}_2$ holography with non-constant dilaton

Cited by in corpus (15)

• A Generalization of Sachdev-Ye-Kitaev
• AdS${}_2$ holography and the SYK model
• Universality in Chaos of Particle Motion near Black Hole Horizon
• Nearly AdS2 Sugra and the Super-Schwarzian
• Correlators in tensor models from character calculus
• Ward identities and combinatorics of rainbow tensor models
• Rainbow tensor model with enhanced symmetry and extreme melonic dominance
• Cut and join operator ring in Aristotelian tensor model
• Thickening and sickening the SYK model
• From Kronecker to tableau pseudo-characters in tensor models
• A Note on Sachdev-Ye-Kitaev Like Model without Random Coupling
• Bilocal fields and gravity
• Complete Solution of a Gauged Tensor Model
• Bilocal theory and gravity I
• New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and Applications