# Drinfeld center of enriched monoidal categories

**Authors:** Liang Kong, Hao Zheng

arXiv: 1704.01447 · 2020-06-05

## TL;DR

This paper introduces a new construction of the Drinfeld center for enriched monoidal categories and demonstrates that all modular tensor categories can be realized as such centers, with applications in physics.

## Contribution

It defines the Drinfeld center for enriched monoidal categories and shows that every modular tensor category arises as a center of a self-enriched category, extending previous frameworks.

## Key findings

- Every modular tensor category can be realized as a Drinfeld center of a self-enriched monoidal category.
- The construction generalizes to important applications in physics.
- Provides a new perspective on the structure of modular tensor categories.

## Abstract

We define the Drinfeld center of a monoidal category enriched over a braided monoidal category, and show that every modular tensor category can be realized in a canonical way as the Drinfeld center of a self-enriched monoidal category. We also give a generalization of this result for important applications in physics.

## Full text

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## References

16 references — full list in the complete paper: https://tomesphere.com/paper/1704.01447/full.md

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Source: https://tomesphere.com/paper/1704.01447