# Pointed Drinfeld Center Functor

@article{Kong2019PointedDC, title={Pointed Drinfeld Center Functor}, author={Liang Kong and Wei Yuan and Hao Zheng}, journal={Communications in Mathematical Physics}, year={2019}, volume={381}, pages={1409-1443} }

In this work, using the functoriality of the Drinfeld center of fusion categories, we generalize the functoriality of the full center of simple separable algebras in a fixed fusion category to all fusion categories. This generalization produces a new center functor, which involves both Drinfeld center and full center and is called pointed Drinfeld center functor. We prove that this pointed Drinfeld center functor is a symmetric monoidal equivalence. It turns out that this functor provides a…

## 6 Citations

### A mathematical theory of gapless edges of 2d topological orders. Part I

- Physics, MathematicsJournal of High Energy Physics
- 2020

This is the first part of a two-part work on a unified mathematical theory of gapped and gapless edges of 2d topological orders. We analyze all the possible observables on the 1+1D world sheet of a…

### Classification of topological phases with finite internal symmetries in all dimensions

- MathematicsJournal of High Energy Physics
- 2020

Abstract
We develop a mathematical theory of symmetry protected trivial (SPT) orders and anomaly-free symmetry enriched topological (SET) orders in all dimensions via two different approaches with…

### The Symmetry Enriched Center Functor is Fully Faithful

- MathematicsCommunications in Mathematical Physics
- 2022

. 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…

### Categories of quantum liquids I

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We develop a mathematical theory of separable higher categories based on Gaiotto and Johnson-Freyd’s work on condensation completion. Based on this theory, we prove some fundamental results…

### Enriched monoidal categories I: centers

- Mathematics
- 2021

This work is the first one in a series, in which we develop a mathematical theory of enriched (braided) monoidal categories and their representations. In this work, we introduce the notion of the…

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This is the first part of a two-part work on a unified mathematical theory of gapped and gapless edges of 2d topological orders. We analyze all the possible observables on the 1+1D world sheet of a…

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