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arXiv · 2208.05982

Decomposition, condensation defects, and fusion

Ling Lin·Daniel G. Robbins·Eric Sharpe
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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.

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Ling Lin, Daniel G. Robbins, Eric Sharpe. 2022-08-11. Decomposition, condensation defects, and fusion. https://doi.org/10.1002/prop.202200130

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