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Departamento de Matemática Técnico Técnico

Encontros Iberian Strings  RSS

19/01/2017, 12:00 — 12:30 — Anfiteatro Abreu Faro
Oscar Lasso Andino, Autónoma University of Madrid

On $SO(3)$-gauged maximal $d=8$ supergravities

I will show how the tensor hierarchy of generic, bosonic, $8$-dimensional field theories is built. Studying the form of the most general 8-dimensional bosonic theory with Abelian gauge symmetries only and no massive deformations we determined the tensors that occur in the Chern-Simons terms of the (electric and magnetic) field strengths and the action for the electric fields. Having constructed the most general Abelian theory we study the most general gaugings of its global symmetries and the possible massive deformations using the embedding tensor formalism, constructing the complete tensor hierarchy using the Bianchi identities. We find the explicit form of all the field strengths of the gauged theory up to the $6$-forms and also the equations of motion. We find that some equations of motion are not simply the Bianchi identities of the dual fields, but combinations of them. With the results at hand I will show how to construct explicitly a $1$-parameter family of $SO(3)$-gauged maximal $d=8$ supergravities that interpolates continuously between the theory constructed by Salam and Sezgin by Scherk-Schwarz compactification of $d=11$ supergravity and the theory constructed in arXiv:hep-th/0012032 by dimensional reduction of the so called massive $11$-dimensional supergravity proposed by Meessen and Ortín earlier.

The talk is based on the articles: arXiv:hep-th/1605.05882v1, arXiv:hep-th/1605.09629v2.

Ver também

Oscar Lasso Andino - On SO(3) families of gauged supergravities in 8-dimensions.pdf