Tensor hierarchy algebras and extended geometry. I: Construction of the algebra

DOI10.1007/JHEP02(2020)144zbMath1435.81088arXiv1908.08695OpenAlexW3099988359MaRDI QIDQ2188646

Martin Cederwall, Jakob Palmkvist

Publication date: 11 June 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08695

zbMATH Keywords

M-theorygauge symmetrygauged supergravitydifferential and algebraic geometryspace-time symmetries

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Supergravity (83E50) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Matrix models and tensor models for quantum field theory (81T32)

Related Items (10)

Duality hierarchies and differential graded Lie algebras ⋮ Tensor hierarchy algebras and extended geometry. II: Gauge structure and dynamics ⋮ The Puzzle of Global Double Field Theory: Open Problems and the Case for a Higher Kaluza‐Klein Perspective ⋮ Corrigendum to: ``From Lie algebra crossed modules to tensor hierarchies ⋮ The teleparallel complex ⋮ Supergravities and branes from Hilbert-Poincaré series ⋮ On exceptional QP-manifolds ⋮ A master exceptional field theory ⋮ Tensor hierarchy algebra extensions of over-extended Kac-Moody algebras ⋮ Teleparallelism in the algebraic approach to extended geometry

Cites Work

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• Generators and relations for Lie superalgebras of Cartan type
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• Three-algebras, triple systems and 3-graded Lie superalgebras
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