An Algebraic Theory of Gapped Domain Wall Partons

TL;DR

This paper introduces a categorical framework for understanding 'parton' quantum numbers associated with gapped domain walls in topological phases, linking to generalized symmetries and SymTFT.

Contribution

It provides the first categorical description of partons, connecting entanglement bootstrap insights with algebraic and symmetry-based approaches.

Findings

Categorical model for partons on gapped domain walls

Connection between partons, generalized symmetries, and SymTFT

New insights into quantum numbers in topological phases

Abstract

The entanglement bootstrap program has generated new quantum numbers associated with degrees of freedom living on gapped domain walls between topological phases in two dimensions. Most fundamental among these are the so-called "parton" quantum numbers, which give rise to a zoo of composite sectors. In this note, we propose a categorical description of partons. Along the way, we make contact with ideas from generalized symmetries and SymTFT.