2018/03/05 by Andreas Deser, Deser, Andreas, Christian Saemann +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1803.01659
openalex publication_date 2018/03/05 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Derived brackets as introduced and studied by Kosmann-Schwarzbach and Voronov\nare a powerful tool for describing and understanding infinitesimal symmetry\nactions relevant in physics. Roytenberg and Weinstein showed that this\ncontinues to hold for the categorified symmetries arising in Hitchin's\ngeneralized geometry. After reviewing some well-established examples, we prove\nthat derived brackets also underlie the symmetries of Double Field Theory and\nheterotic Double Field Theory. This leads to a common framework for large\nclasses of symmetries, which suggests that derived bracket constructions can\nfunction as a guiding principle in the description of infinitesimal actions of\nsymmetries in physics. As a new result, we present sufficient conditions on a\nbracket to give rise to a Lie 2-algebra of symmetries via antisymmetrized\nderived brackets.\n