2019/03/07 by Olaf Hohm, Henning Samtleben · 18 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Computer science #Embedding #Gauge theory #Geometry #Homogeneous space #Lie algebra #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quadratic equation #Representation theory #hep-th
paper · pdf · doi:10.1002/prop.201910008
published in Fortschritte der Physik 67(8-9) (Wiley) · 18 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 We review the higher gauge symmetries in double and exceptional field theory from the viewpoint of an embedding tensor construction. This is based on a (typically infinite‐dimensional) Lie algebra and a choice of representation R . The embedding tensor is a map from the representation space R into satisfying a compatibility condition (‘quadratic constraint'). The Lie algebra structure on is transported to a Leibniz–Loday algebra on R , which in turn gives rise to an ‐structure. We review how the gauge structures of double and exceptional field theory fit into this framework.