Supersymmetric theories coupling O(4) extended supergravity to multiple O(4) self-dual multiplets are shown to have infinities at the one-loop level. Photon-photon and scalar-scalar scattering are explicitly shown to be finite in O(4), O(5), O(6), and O(8) supergravity.

• Received 13 February 1979

DOI:https://doi.org/10.1103/PhysRevD.20.396