# Courant algebroids from double field theory in supergeometry

## TL;DR

This paper explores how Courant algebroids naturally arise from double field theory within supergeometry, linking fluxes, Bianchi identities, and R-flux solutions through graded symplectic manifolds.

## Contribution

It demonstrates the emergence of various Courant algebroids from double field theory using pre-QP-manifolds, highlighting the connection with R-flux solutions.

## Key findings

- Courant algebroids derived from double field theory
- Fluxes and Bianchi identities formulated via pre-QP-manifolds
- Poisson Courant algebroid related to R-flux as a solution

## Abstract

We provide a short review of Courant algebroids and graded symplectic manifolds and show how different Courant algebroids emerge from double field theory. Fluxes of double field theory and their Bianchi identities are formulated by using pre-QP-manifolds. We stress the relation of the Poisson Courant algebroid with R-flux as a solution of the double field theory section condition.