True SYK or (con)sequences

Abstract

Some generalizations of the Sachdev-Ye-Kitaev (SYK) model and different patterns of their reparametrization symmetry breaking are discussed. The analysis of such (pseudo)holographic systems relates their generalized one-dimensional Schwarzian dynamics to (quasi) two-dimensional Liouvillian quantum mechanics. As compared to the original SYK case, the latter might be dissipative or have discrete states in its spectrum, either of which properties alters thermodynamics and correlations while preserving the underlying $SL(2,R)$ symmetry.

Latex, no figures

References in corpus (7)

• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• All point correlation functions in SYK
• Three Dimensional View of the SYK/AdS Duality
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Bosonic Tensor Models at Large $N$ and Small $\epsilon$
• On the relation between the magnitude and exponent of OTOCs

Cited by in corpus (3)

• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• SYK does not Transit Gloria Mundi just yet
• Phase space holography with no strings attached