# On Superselection Theory of Quantum Fields in Low Dimensions

## TL;DR

This paper explores the structure of quantum field theories in low dimensions, focusing on their algebraic extensions, categorical aspects, and implications for conformal field theory invariants.

## Contribution

It provides a new perspective on the superselection theory of quantum fields in low dimensions, linking categorical structures with modular invariants.

## Key findings

- Connection between local extensions and categorical structures
- Insights into modular invariants in conformal field theory
- Mathematical implications for quantum field theory

## Abstract

We discuss finite local extensions of quantum field theories in low space time dimensions in connection with categorical structures and the question of modular invariants in conformal field theory, also touching upon purely mathematical ramifications.