Minimal unitary representations from supersymmetry

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.

84 pages, Corrected version for publication in JHEP, additional comment on d^6 R^4 in four dimensions

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Cited by in corpus (8)

• $D^6{R}^4$ amplitudes in various dimensions
• Tetrahedral modular graph functions
• Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
• Superforms in Five-Dimensional, $N=1$ Superspace
• $\mathcal{E}{\nabla }^4{R}^4$ type invariants and their gradient expansion
• Discrete anomalies in supergravity and consistency of string backgrounds
• Fourier coefficients attached to small automorphic representations of ${\mathrm{SL}}_n(\mathbb{A})$
• Exotic Aspects of Extended Field Theories