Decomposition, Condensation Defects, and Fusion

被引：41

作者：

Lin, Ling ^{[1
]}

Robbins, Daniel G. ^{[2
]}

Sharpe, Eric ^{[3
]}

机构：

[1] CERN, Theory Dept, CH-1211 Geneva, Switzerland

[2] SUNY Albany, Dept Phys, Albany, NY 12222 USA

[3] Virginia Tech, Dept Phys, MC 0435,850 West Campus Dr, Blacksburg, VA 24061 USA

来源：

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2022年 / 70卷 / 11期

关键词：

condensation defects; decomposition;

D O I：

10.1002/prop.202200130

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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)$(d-1)$-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.

引用

页数：20