Tensor hierarchies and Leibniz algebras

DOI10.1016/j.geomphys.2019.05.014zbMath1462.17032arXiv1708.07068OpenAlexW2952931825WikidataQ123238616 ScholiaQ123238616MaRDI QIDQ2274425

Sylvain Lavau

Publication date: 19 September 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07068

zbMATH Keywords

Leibniz algebrasLoday algebraembedding tensortensor hierarchies

Mathematics Subject Classification ID

Supergravity (83E50) Supermanifolds and graded manifolds (58A50) Graded Lie (super)algebras (17B70) Leibniz algebras (17A32)

Related Items (15)

Duality hierarchies and differential graded Lie algebras ⋮ The embedding tensor, Leibniz-Loday algebras, and their higher gauge theories ⋮ Nonlinear realizations of Lie superalgebras ⋮ Tensor hierarchy algebras and extended geometry. II: Gauge structure and dynamics ⋮ 2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras ⋮ Nonabelian embedding tensors ⋮ From Lie algebra crossed modules to tensor hierarchies ⋮ On exceptional QP-manifolds ⋮ Infinity-enhancing of Leibniz algebras ⋮ The canonical formulation of \(E_{6(6)}\) exceptional field theory ⋮ The resurgence of \(L_\infty\) structures in field theory ⋮ The controlling \(L_\infty \)-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples ⋮ Brackets by any other name ⋮ The \(L_{\infty}\)-algebra of the S-matrix ⋮ Leibniz gauge theories and infinity structures

Cites Work

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