Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.
Supergravities without an Action: Gauging the Trombone
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abstract
We present a systematic account of supergravity theories in which the global scaling symmetry is gauged. This generalizes the standard gaugings of non-abelian off-shell symmetries. A particular feature of these theories is an additional positive contribution to the effective cosmological constant. As the scaling symmetry is an on-shell symmetry, the resulting gaugings do no longer possess an action. We develop the algebraic framework for the maximal theories in various dimensions and construct explicit solutions to the algebraic consistency constraints - related to `pure-spinor-like' structures for the exceptional groups. As an example, we explicitly work out the modified supersymmetry transformation rules and equations of motion in three dimensions. Finally, we speculate about the role of these theories from the perspective of very extended Kac-Moody algebras.
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New family of maximal 4D gauged supergravities with trombone gauging admits supersymmetric AdS vacua related to M5-branes and provides sufficient conditions for consistent subtruncations from groups not contained in the N=8 gauge group.
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Maximal trombone supergravity from wrapped M5-branes
Certain maximal 4D supergravities with trombone gaugings arise as consistent truncations of 11D supergravity from M5-branes wrapped on supersymmetric three-cycles.
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Consistent subsectors of maximal supergravity and wrapped M5-branes
New family of maximal 4D gauged supergravities with trombone gauging admits supersymmetric AdS vacua related to M5-branes and provides sufficient conditions for consistent subtruncations from groups not contained in the N=8 gauge group.