par Kleinschmidt, Axel ;Palmkvist, Jakob
Référence The Journal of high energy physics, 2013, 3, 044
Publication Publié, 2013
Article révisé par les pairs
Résumé : 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 E11-D . We here explain how the Borcherds algebras in different dimensions are embedded into each other and can be constructed from a unifying Borcherds algebra. The construction also has a natural physical explanation in terms of oxidation. We then go on to show that the Hodge duality that is present in the tensor hierarchy has an algebraic counterpart. For D > 8 the Borcherds algebras we find differ from the ones existing in the literature although they generate the same tensor hierarchy. © 2013 SISSA.