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arXiv · 1903.02842

Supergravity Fluxes and Generalised Geometry

Charles Strickland-Constable
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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.

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Charles Strickland-Constable. 2019-03-07. Supergravity Fluxes and Generalised Geometry. https://doi.org/10.1002/prop.201910021

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