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The Symmetry Enriched Center Functor is Fully Faithful | | Long Sun
; | | Date: |
1 Jan 2022 | | Abstract: | In this work, inspired by some physical intuitions, we define a series of
symmetry enriched categories to describe symmetry enriched topological (SET)
orders, and define a new tensor product, called the relative tensor product,
which describes the stacking of 2+1D SET orders. Then we choose and modify the
domain and codomain categories, and manage to make the Drinfeld center a fully
faithful symmetric monoidal functor. It turns out that this functor, named the
symmetry enriched center functor, provides a precise and rather complete
mathematical formulation of the boundary-bulk relation of symmetry enriched
topological (SET) orders. We also provide another description of the relative
tensor product via a condensable algebra. | | Source: | arXiv, 2201.00192 | | Services: | Forum | Review | PDF | Favorites | |
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