One-dimensional bosonization and the SYK model

2018/12/31 by Jeff Murugan, Horatiu Nastase
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Bosonization #Class (philosophy) #Dual (grammatical number) #Duality (order theory) #Effective action #Noncommutative and Quantum Gravity Theories #Sequence (biology) #Syk #hep-th

paper · pdf · doi:10.1007/jhep08(2019)117

19 pages, no figures, reference added

openalex publication_date 2019/08/01 · arxiv created 2019/08/07 · openalex created_date 2019/08/29 · arxiv updated 2019/10/02 · openalex updated_date 2026/08/06

Abstract

A bstract We explore the possibility of extending the familiar bosonization of two dimensions to (0 + 1)-dimensional systems with a large number of degrees of freedom. As an application of this technique, we consider a class of SYK-type models, and argue that the corresponding action on the gravity dual of the SYK model is given by an STS sequence of dualities.

Citations

• Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators
• The (2 + 1)-dimensional black hole
• Properties of CFTs dual to charged BTZ black hole
• Mandelstam-'t Hooft duality in abelian lattice models
• The Large-N Limit of Superconformal Field Theories and Supergravity
• Comments on the Sachdev-Ye-Kitaev model
• AdS₂ holography and the SYK model