2014/06/30 by Guillaume Bossard, Valentin Verschinin · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep10(2014)008
84 pages, Corrected version for publication in JHEP, additional comment on d^6 R^4 in four dimensions
arxiv created 2014/09/26 · arxiv updated 2015/06/22
We compute the supersymmetry constraints on the R4 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 R4 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 d4 R4 and the d6 R4 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.