Abstract
We compute the supersymmetry constraints on the R 4 type corrections in maximal supergravity in dimension 8, 6, 4 and 3, and determine the tensorial differential equations satisfied by the function of the scalar fields multiplying the R 4 term in the corresponding invariants. The second-order derivative of this function restricted to the Joseph ideal vanishes in dimension lower than six. These results are extended to the ∇4 R 4 and the ∇6 R 4 corrections, based on the harmonic superspace construction of these invariants in the linearised approximation. We discuss the solutions of these differential equations and analysis the consequences on the non-perturbative type II low energy string theory effective action.
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Bossard, G., Verschinin, V. Minimal unitary representations from supersymmetry. J. High Energ. Phys. 2014, 8 (2014). https://doi.org/10.1007/JHEP10(2014)008
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DOI: https://doi.org/10.1007/JHEP10(2014)008