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        Supergravity Fluxes and Generalised Geometry : LMS/EPSRC Durham Symposium on Higher Structures in M theory

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        Charles_AAM.pdf (PDF, 241Kb)
        Author
        Strickland-Constable, Charles
        Attention
        2299/21354
        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.
        Publication date
        2019-08-01
        Published in
        Fortschritte der Physik
        Published version
        https://doi.org/10.1002/prop.201910021
        Other links
        http://hdl.handle.net/2299/21354
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