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arXiv · 1406.5527

Minimal unitary representations from supersymmetry

Guillaume Bossard·Valentin Verschinin
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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 d^4 R^4 and the d^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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Guillaume Bossard, Valentin Verschinin. 2014-09-26. Minimal unitary representations from supersymmetry. https://doi.org/10.1007/jhep10(2014)008

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