# Twisted Drinfeld Centers and Framed String-Nets

## TL;DR

This paper introduces a string-net construction on 2-framed surfaces using a finite, rigid tensor category, revealing that the resulting circle categories compute twisted Drinfeld centers influenced by the double dual functor.

## Contribution

It develops a novel string-net framework on 2-framed surfaces that computes twisted Drinfeld centers without requiring pivotal or semi-simple categories.

## Key findings

- Circle categories correspond to twisted Drinfeld centers
- Construction works with non-pivotal, non-semi-simple categories
- Provides new insights into tensor category invariants

## Abstract

We discuss a string-net construction on 2-framed surfaces, taking as algebraic input a finite, rigid tensor category, which is neither assumed to be pivotal nor semi-simple. It is shown that circle categories of our framed string-net construction essentially compute Drinfeld centers twisted by powers of the double dual functor.