TL;DR
This paper explores the structure of supergravity theories, focusing on how non-abelian gaugings relate to M-theory and the role of p-form hierarchies within duality groups.
Contribution
It analyzes the group-theoretical structure of p-form hierarchies in maximal supergravity and their connections to M-theory, highlighting restrictions on gaugings.
Findings
Classification of allowed gaugings in maximal supergravity.
Identification of p-form hierarchies linked to duality groups.
Connections between supergravity deformations and M-theory structures.
Abstract
Supergravity provides the effective field theories for string compactifications. The deformation of the maximal supergravities by non-abelian gauge interactions is only possible for a restricted class of charges. Generically these `gaugings' involve a hierarchy of p-form fields which belong to specific representations of the duality group. The group-theoretical structure of this p-form hierarchy exhibits many interesting features. In the case of maximal supergravity the class of allowed deformations has intriguing connections with M/string theory.
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