Non-Invertible Symmetries in Supergravity

TL;DR

This paper explores the presence of non-invertible symmetries in supergravity theories, revealing infinite families of such defects in 10d and 11d supergravities and discussing their implications for quantum gravity.

Contribution

It introduces the study of non-invertible symmetries in supergravity, identifying infinite families of defects and analyzing their role in the context of quantum gravity and string theory.

Findings

Infinite families of non-invertible defects in 11d and 10d supergravities.

These defects influence probe branes and are removed in UV completions.

The existence of these symmetries supports the absence of global symmetries in quantum gravity.

Abstract

Non-invertible symmetries have been extensively studied in quantum field theories in recent years. In this note we initiate their study in supergravity. We find infinite families of non-invertible defects in 11d and 10d Type II supergravities. These operators display a rich action on different probe branes. We comment on how these symmetries are removed in the UV completion, M-theory and Type II String Theory and how their existence strengthens the link between the absence of global symmetries in Quantum Gravity and the Completeness Hypothesis.