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The invariants in half-maximal supergravity theories in D=4,5 are discussed in detail up to dimension eight (e.g.
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Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, D. A. Kosower and R. Roiban, “Three-loop superfiniteness of 𝒩 = 8 \mathcal{N}=8 Supergravity,” Phys. Rev. Lett. 98
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1989
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E. Sokatchev, “An off-shell formulation of 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–mills theory in twistor harmonic superspace,” Phys. Lett. B 217
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F. Brandt, “Supersymmetry algebra cohomology I: Definition and general structure,” J. Math. Phys. 51
2010
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R. Kallosh, “On absence of 3-loop divergence in 𝒩 = 4 \mathcal{N}=4 supergravity,” Phys. Rev. D 85
2012
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