Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-30
Nucl.Phys.B811:1-35,2009
Physics
High Energy Physics
High Energy Physics - Theory
40 pages; v2: refs added, minor corrections, version to be published in NPB
Scientific paper
10.1016/j.nuclphysb.2008.11.010
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.
Diffon Arnaud Le
Samtleben Henning
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