# Local quantum energy conditions in non-Lorentz-invariant quantum field theories

## TL;DR

This paper establishes the first local quantum energy conditions in non-Lorentz-invariant quantum field theories, specifically in two-dimensional theories with infinite-dimensional symmetries relevant to flat space holography.

## Contribution

It introduces novel local quantum energy conditions for non-Lorentz-invariant theories, extending holographic energy condition results to new classes of quantum field theories.

## Key findings

- Energy conditions saturate for states dual to vacuum solutions in 3D Einstein gravity.
- First example of local quantum energy conditions in non-Lorentz-invariant QFTs.
- Connections to holographic quantum null energy conditions.

## Abstract

We provide the first example of local quantum energy conditions in quantum field theories that are not Lorentz invariant. We focus on field theories in two dimensions with infinite-dimensional symmetries, like the ones governed by the Bondi-van der Burg-Metzner-Sachs group that appear in the context of flat space holography. Reminiscent of holographic results on the quantum null energy condition, we prove that our new energy conditions saturate for states in the field theory that are dual to vacuum solutions of three-dimensional Einstein gravity with vanishing cosmological constant.