Supergravity Fluxes and Generalised Geometry

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.

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

References in corpus (10)

• Generalised Geometry for M-Theory
• Exceptional Field Theory III: E${}_{8(8)}$
• $L_{\infty }$ Algebras and Field Theory
• AdS_6 solutions of type II supergravity
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Half-maximal supersymmetry from exceptional field theory
• Extended geometries
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• N = 2 supersymmetric AdS4 solutions of type IIB supergravity

Cited by in corpus (2)

• Hitchhiker's Guide to Courant Algebroid Relations
• Graded Generalized Geometry