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The half-maximal supergravity theories in three dimensions, which have local $SO(8)\xz SO(n)$ and rigid SO(8,n) symmetries, are discussed in a superspace setting starting from the superconformal theory.
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P. Henry-Labordere, B. Julia and L. Paulot, “Real Borcherds superalgebras and M-theory,” JHEP 0304
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J. Palmkvist, “Tensor hierarchies, Borcherds algebras and E11,” JHEP 1202
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2012
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E. Bergshoeff, J. Gomis, T. Nutma and D. Roest, “Kac-Moody Spectrum of (Half-)Maximal Supergravities,” JHEP 0802
2035
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