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

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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.
Original languageEnglish
Article number1910021
Number of pages11
JournalFortschritte der Physik
Volume67
Issue number8-9
Early online date6 May 2019
DOIs
Publication statusPublished - 1 Aug 2019

Keywords

  • hep-th
  • moduli spaces
  • supergravity
  • -structures
  • supersymmetric flux backgrounds
  • generalised geometry

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