Disordered vector models: from higher spins to incipient strings

Abstract

We present a one-parameter family of large $N$ disordered models, with and without supersymmetry, in three spacetime dimensions. They interpolate from the critical large $N$ vector model dual to a classical higher spin theory, towards a theory with a classical string dual. We analyze the spectrum and OPE data of the theories. While the supersymmetric model is always well-behaved the non-supersymmetric model is unitary only over a small parameter range. We offer some speculations on the origin of strings from the higher spins.

7 pages + appendix, several figures. v2: minor changes, published version

References in corpus (4)

• Holography from Conformal Field Theory
• More on Supersymmetric and 2d Analogs of the SYK Model
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills

Cited by in corpus (8)

• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• D-commuting SYK model: building quantum chaos from integrable blocks
• Multiway Junction Conditions: Booklets and Webs
• Disordered $\mathcal{N}=(2,2)$ Supersymmetric Field Theories
• Emergent Supersymmetry at Large $N$
• Gauging the complex SYK model