# Analogous BMS Symmetry in QED and Quantum Anomaly in Dirac and Weyl Semimetals

## TL;DR

This paper demonstrates that the asymptotic gauge symmetries in QED become anomalous in Dirac and Weyl semimetals, leading to observable effects related to BMS symmetries and QED soft theorems.

## Contribution

It reveals the anomalous behavior of BMS-like symmetries in semimetals and connects these to observable currents and memory effects.

## Key findings

- Anomalous gauge symmetries induce new currents in semimetals.
- Observable memory effects linked to BMS symmetry in materials.
- Connection between quantum anomalies and condensed matter phenomena.

## Abstract

We show that the asymptotic infinite dimensional enlarged gauge symmetries constructed for QED are anomalous in Dirac and Weyl semimetals. This symmetry is particularly important in particle physics for its analogy with the Bondi-Metzner-Sachs (BMS) symmetries in gravity, as well as for its connection with QED soft IR theorems. This leads to observable effects, because of the induction of a new current in the material, which carries a memory of the BMS symmetry precursor.