The general gaugings of maximal d = 9 supergravity

• Published in: The journal of high energy physics Vol. 2011; no. 10
• Main Authors: Fernández-Melgarejo, J. J., Ortín, T., Torrente-Luján, E.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.10.2011; Springer Nature B.V
• Subjects: Classical and Quantum Gravitation; Deformation; Electric fields; Elementary Particles; Embedding; High energy physics; Mathematical analysis; Parameter identification; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; Supergravity; Supersymmetry; Tensors; Supergravity Models; p-branes; Extended Supersymmetry
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP10(2011)068

We use the embedding tensor method to construct the most general maxi-malgauged/massive supergravity in d  = 9 dimensions and to determine its extended field content. Only the 8 independent deformation parameters (embedding tensor components, mass parameters etc.) identified by Bergshoeff et al. (an triplet, two doublets and a singlet) can be consistently introduced in the theory, but their simultaneous use is subject to a number of quadratic constraints. These constraints have to be kept and enforced because they cannot be used to solve some deformation parameters in terms of the rest. The deformation parameters are associated to the possible 8-forms of the theory, and the constraints are associated to the 9-forms, all of them transforming in the conjugate representations. We also give the field strengths and the gauge and supersymmetry transformations for the electric fields in the most general case. We compare these results with the predictions of the E 11 approach, finding that the latter predicts one additional doublet of 9-forms, analogously to what happens in N  = 2 d  = 4, 5, 6 theories.