Three-loop counterterms for extended supergravity

Physics

Scientific paper

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Scientific paper

An invariant three-loop counterterm is exhibited for O(2) supergravity;
its presence would imply nonrenormalizability. The analogous one-loop
invariant due to O(2) supermatter coupling is also given. Involved are
new conserved quantities due to the internal symmetry and to symmetry
between fields separated by one spin unit.

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