2019/03/07 by Charles Strickland‐Constable, Charles Strickland-Constable
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Deformation (meteorology) #Domain (mathematical analysis) #Heterotic string theory #Holomorphic function #Homotopy and Cohomology in Algebraic Topology #Integrable system #Nonlinear Waves and Solitons #Space (punctuation) #Supergravity #Superpotential #hep-th
paper · pdf · doi:10.1002/prop.201910021
11 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018
arxiv created 2019/03/07 · openalex created_date 2019/03/22 · openalex publication_date 2019/05/06 · arxiv updated 2021/07/28 · openalex updated_date 2026/08/05
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 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 ‐algebra associated to a holomorphic Courant algebroid, with the superpotential itself becoming an analogue of a holomorphic Chern–Simons functional.