Decomposition, condensation defects, and fusion
Abstract
In this paper we outline the application of decomposition to condensation defects and their fusion rules. Briefly, a condensation defect is obtained by gauging a higher-form symmetry along a submanifold, and so there is a natural interplay with notions of decomposition, the statement that d-dimensional quantum field theories with global (d-1)-form symmetries are equivalent to disjoint unions of other quantum field theories. We will also construct new (sometimes non-invertible) defects, and compute their fusion products, again utilizing decomposition. An important role will be played in all these analyses by theta angles for gauged higher-form symmetries, which can be used to select individual universes in a decomposition.
Cite
@article{arxiv.2208.05982,
title = {Decomposition, condensation defects, and fusion},
author = {Ling Lin and Daniel G. Robbins and Eric Sharpe},
journal= {arXiv preprint arXiv:2208.05982},
year = {2022}
}
Comments
47 pages, LaTeX; v2: references added