# Fluctuations in glassy systems

## TL;DR

This paper presents a theoretical framework based on time-reparametrization invariance to explain dynamic fluctuations in glassy systems, supported by numerical checks and potential experimental tests.

## Contribution

It introduces a novel theoretical approach to understanding fluctuations in glassy systems, linking them to global time-reparametrization invariance and providing testable predictions.

## Key findings

- Numerical checks on 3d Edwards-Anderson spin-glass support the theory.
- The framework distinguishes unique fluctuation features from other mechanisms.
- Discussion on applicability to super-cooled liquids.

## Abstract

We summarize a theoretical framework based on global time-reparametrization invariance that explains the origin of dynamic fluctuations in glassy systems. We introduce the main ideas without getting into much technical details. We describe a number of consequences arising from this scenario that can be tested numerically and experimentally distinguishing those that can also be explained by other mechanisms from the ones that we believe, are special to our proposal. We support our claims by presenting some numerical checks performed on the 3d Edwards-Anderson spin-glass. Finally, we discuss up to which extent these ideas apply to super-cooled liquids that have been studied in much more detail up to present.