# True SYK or (con)sequences

## TL;DR

This paper explores generalizations of the SYK model, examining their symmetry breaking patterns and how these affect their holographic duals, thermodynamics, and spectral properties.

## Contribution

It introduces new generalizations of the SYK model and analyzes their reparametrization symmetry breaking and holographic dynamics.

## Key findings

- Generalized SYK models exhibit varied symmetry breaking patterns.
- Their Schwarzian dynamics relate to Liouvillian quantum mechanics.
- Spectral properties can be dissipative or discrete.

## 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.