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Decomposition, condensation defects, and fusion
- Source :
- Fortsch. Phys. 70 (2022) 2200130
- Publication Year :
- 2022
-
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.<br />Comment: 47 pages, LaTeX; v2: references added
- Subjects :
- High Energy Physics - Theory
Condensed Matter - Strongly Correlated Electrons
Subjects
Details
- Database :
- arXiv
- Journal :
- Fortsch. Phys. 70 (2022) 2200130
- Publication Type :
- Report
- Accession number :
- edsarx.2208.05982
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1002/prop.202200130