Exact coefficients for higher dimensional operators with sixteen supersymmetries

Understand

We consider constraints on higher dimensional operators for supersymmetric effective field theories.

• In four dimensions with maximal supersymmetry and SU(4) R-symmetry, we demonstrate that the coefficients of abelian operators F^n with MHV helicity configurations must satisfy a recursion relation, and are completely determined by that of F^4.
• As the F^4 coefficient is known to be one-loop exact, this allows us to derive exact coefficients for all such operators.
• We also argue that the results are consistent with the SL(2,Z) duality symmetry.