University of Hertfordshire

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Original languageEnglish
Article number1910021
Number of pages11
JournalFortschritte der Physik
Journal publication date1 Aug 2019
Early online date6 May 2019
Publication statusPublished - 1 Aug 2019


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.


11 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018. © 2019 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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