Tensor hierarchies, Borcherds algebras and \(E_{11}\)

DOI10.1007/JHEP02(2012)066zbMath1309.81169arXiv1110.4892OpenAlexW1992921898MaRDI QIDQ2340616

Jakob Palmkvist

Publication date: 20 April 2015

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

Full work available at URL: https://arxiv.org/abs/1110.4892

zbMATH Keywords

M-theorysupergravity models

Mathematics Subject Classification ID

Supergravity (83E50) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Superalgebras (17A70) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items

Oxidizing Borcherds symmetries, Forms and algebras in (half-)maximal supergravity theories, \(E_{8}\) geometry, Superalgebras, constraints and partition functions, Exceptional geometry and Borcherds superalgebras, Duality hierarchies and differential graded Lie algebras, Half‐Maximal Supersymmetry from Exceptional Field Theory, Symmetries of M-theory and free Lie superalgebras, A study on free roots of Borcherds-Kac-Moody Lie superalgebras, Infinity-enhancing of Leibniz algebras, Hidden \(Q\)-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions, \(L_{\infty}\) algebras and tensor hierarchies in exceptional field theory and gauged supergravity, Locally non-geometric fluxes and missing momenta in M-theory, Beyond \(E_{11}\), The tensor hierarchy algebra, Borcherds and Kac-Moody extensions of simple finite-dimensional Lie algebras, Half-maximal supergravity in three dimensions: supergeometry, differential forms and algebraic structure, Non-gravitational exceptional supermultiplets, Tensor hierarchy algebra extensions of over-extended Kac-Moody algebras, Generators and relations for Lie superalgebras of Cartan type

Cites Work

• Unnamed Item
• \(E_{11}\), Borcherds algebras and maximal supergravity
• Unifying \( \mathcal{N} = 5 \) and \( \mathcal{N} = 6 \)
• Maximal supergravity in \(D=10\): forms, Borcherds algebras and superspace cohomology
• The general gaugings of maximal \(d = 9\) supergravity
• Classification of linearly compact simple algebraic \(N=6\) 3-algebras
• Automorphic forms and Lie superalgebras
• The maximal \(D=5\) supergravities
• Supergravity and M-theory
• Generalized Kac-Moody algebras
• A characterization theorem for a certain class of graded Lie superalgebras
• A character formula for generalized Kac-Moody superalgebras
• IIA/IIB supergravity and ten-forms
• E ₁₁ and M theory
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>and a Small Tension Expansion of M Theory
• $\mathcal {N}=5$ N = 5 three-algebras and 5-graded Lie superalgebras
• Three-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>Chern-Simons gauge theories
• Superconformal M2-branes and generalized Jordan triple systems
• Generalized conformal realizations of Kac–Moody algebras
• Gauged maximal supergravities and hierarchies of nonabelian vector‐tensor systems
• Three-algebras, triple systems and 3-graded Lie superalgebras