# Dimensional reduction and the equivariant Chern character

## TL;DR

This paper introduces a dimensional reduction method within the Stolz--Teichner framework for supersymmetric Euclidean field theories, providing a geometric interpretation of the Chern character for orbifolds and manifolds with finite group actions.

## Contribution

It develops a new dimensional reduction procedure tailored for orbifold field theories and offers a geometric perspective on the Chern character in this context.

## Key findings

- A novel dimensional reduction approach for orbifold EFTs
- Geometric interpretation of the Chern character for manifolds with finite group actions
- Framework applicable to supersymmetric Euclidean field theories

## Abstract

We propose a dimensional reduction procedure in the Stolz--Teichner framework of supersymmetric Euclidean field theories (EFTs) that is well-suited in the presence of a finite gauge group or, more generally, for field theories over an orbifold. As an illustration, we give a geometric interpretation of the Chern character for manifolds with an action by a finite group.