Finiteness calculations for O(4) through O(8) extended supergravity and O(4) supergravity coupled to self-dual O(4) matter

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Abstract

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.

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