# Supersymmetric Euclidean Field Theories and K-theory

## TL;DR

This paper constructs spaces of 1D supersymmetric Euclidean field theories that model real and complex K-theory, revealing novel connections in the bordism category.

## Contribution

It introduces a new construction of supersymmetric Euclidean field theories that represent K-theory, with a unique bordism category structure connecting identity and positive length intervals.

## Key findings

- Spaces of 1D supersymmetric Euclidean field theories model K-theory.
- The bordism category features a connected identity bordism to positive length intervals.
- The work bridges supersymmetric field theories and algebraic topology through K-theory.

## Abstract

We construct spaces of 1-dimensional supersymmetric Euclidean field theories and show that they represent real or complex K-theory. A noteworthy feature of our bordism category is that the identity bordism of a point is connected to intervals of positive length.