par Palmkvist, Jakob
Référence The Journal of high energy physics, 2012, 2, 066
Publication Publié, 2012
Article révisé par les pairs
Résumé : Gauge deformations of maximal supergravity in D = 11-n dimensions generically give rise to a tensor hierarchy of p-form fields that transform in specific representations of the global symmetry group E n. We derive the formulas defining the hierarchy from a Borcherds superalgebra corresponding to E n. This explains why the E n representations in the tensor hierarchies also appear in the level decomposition of the Borcherds superalgebra. We show that the indefinite Kac-Moody algebra E 11 can be used equivalently to determine these representations, up to p = D, and for arbitrarily large p if E 11 is replaced by Er with sufficiently large rank r. © 2012 SISSA.