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The tensor hierarchy of maximal supergravity in D dimensions is known to be closely related to a Borcherds (super)algebra that is constructed from the global symmetry group E(11-D).
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P. C. West, E 11 E_{11} and M-theory
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T. Damour, M. Henneaux and H. Nicolai, E 10 E_{10} and a ‘small tension expansion’ of M-theory
2002
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P. Henry-Labordere, B. Julia and L. Paulot, Borcherds symmetries in M-theory
2002
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A. Kleinschmidt, I. Schnakenburg and P. C. West, Very extended Kac-Moody algebras and their interpretation at low levels
2004
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B. de Wit and H. Samtleben, Gauged maximal supergravities and hierarchies of nonAbelian vector-tensor systems
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U. Ray, Automorphic forms and Lie superalgebras · 2006
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F. Riccioni and P. C. West, The E 11 E_{11} origin of all maximal supergravities
B. de Wit, H. Nicolai and H. Samtleben, Gauged Supergravities, Tensor Hierarchies, and M-Theory
2008
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2011
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M. Henneaux, B. L. Julia and J. Levie, E 11 E_{11} , Borcherds algebras and maximal supergravity
2012
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J. Palmkvist, Tensor hierarchies, Borcherds algebras and E 11 E_{11}
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2007
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E. A. Bergshoeff, I. De Baetselier and T. A. Nutma, E 11 E_{11} and the embedding tensor
2007
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F. Riccioni and P. C. West, Dual fields and E 11 E_{11}
2007
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B. Julia, Kac-Moody Symmetry Of Gravitation And Supergravity Theories
Cited in the paper.
A. J. Feingold and H. Nicolai, Subalgebras of hyperbolic Kac-Moody algebras
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2012
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J. Palmkvist, Borcherds and Kac-Moody extensions of simple finite-dimensional Lie algebras
2012
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2012
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A. Kleinschmidt, Counting supersymmetric branes
2025
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