2019/03/07 by Andreas Deser
Mathematics · Physics and Astronomy · #Abelian group #Advanced Topics in Algebra #Combinatorics #Degree (music) #Duality (order theory) #Field (mathematics) #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Prime (order theory) #Pure mathematics #Symplectic geometry #hep-th
paper · pdf · doi:10.1002/prop.201910006
13 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018
arxiv created 2019/03/07 · openalex publication_date 2019/05/06 · arxiv updated 2021/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract Courant algebroids correspond to degree‐2 symplectic differential graded manifolds or NQ‐manifolds for short. We review how a similar construction shows that locally the gauge structure of Double Field Theory corresponds to degree‐2 symplectic pre‐NQ manifolds. To illustrate first steps towards a global understanding of the pre‐NQ case, we apply the local constructions to 3‐dimensional nilmanifolds carrying an abelian gerbe. These are among prime examples where T‐duality is well‐understood and allow us to investigate classic results in the graded language.