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Absence of U(1) anomalous superamplitudes in N$$ \mathcal{N} $$ ≥ 5 supergravities

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A bstractWe list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in N$$ \mathcal{N} $$ ≥ 5 supergravities. The relevant chiral superinvariants are… Click to show full abstract

A bstractWe list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in N$$ \mathcal{N} $$ ≥ 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$$ \mathcal{N} $$ = 4, are shown to be absent in N$$ \mathcal{N} $$ ≥ 5. In N$$ \mathcal{N} $$ = 6 supergravity the result is deduced from the double-copy (N$$ \mathcal{N} $$ = 4)Y M × (N$$ \mathcal{N} $$ = 2)Y M model, whereas in N$$ \mathcal{N} $$ = 5, 8 the result on absence of anomalous amplitudes is derived in supergravities as well as in the (N$$ \mathcal{N} $$ = 4)Y M × (N$$ \mathcal{N} $$ − 4)Y M double-copy models.

Keywords: mathcal mathcal; superamplitudes mathcal; absence anomalous; mathcal supergravities; anomalous superamplitudes

Journal Title: Journal of High Energy Physics
Year Published: 2017

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