# University of Hertfordshire

## Supergravity Fluxes and Generalised Geometry

Research output: Contribution to journalArticle

### Documents

• 1903.02842v1

Accepted author manuscript, 222 KB, PDF-document

Original language English Fortschritte der Physik 7 Mar 2019 Accepted/In press - 7 Mar 2019

### Abstract

We briefly review the description of the internal sector of supergravity theories in the language of generalised geometry and how this gives rise to a description of supersymmetric backgrounds as integrable geometric structures. We then review recent work, featuring holomorphic Courant algebroids, on the description of $\mathcal N=1$ heterotic flux vacua. This work studied the finite deformation problem of the Hull-Strominger system, guided by consideration of the superpotential functional on the relevant space of geometries. It rewrote the system in terms of the Maurer-Cartan set of a particular $L_\infty$-algebra associated to a holomorphic Courant algebroid, with the superpotential itself becoming an analogue of a holomorphic Chern-Simons functional.

### Notes

11 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018

ID: 16455982