Absence of U(1) anomalous superamplitudes in N ≥ 5 supergravities

Abstract

We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in N ≥ 5 supergravities. The relevant chiral superinvariants are constructed from linearized chiral superfields and define the corresponding superamplitudes. The anomalous amplitudes, of the kind present in N = 4, are shown to be absent in N ≥ 5. In N = 6 supergravity the result is deduced from the double-copy (N = 4) Y M × (N = 2) Y M model, whereas in N = 5, 8 the result on absence of anomalous amplitudes is derived in supergravities as well as in the (N = 4) Y M × (N − 4) Y M double-copy models.