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arXiv · 1703.03879

Absence of U(1) Anomalous Superamplitudes in $\mathcal{N}\geq 5$ Supergravities

Daniel Z. Freedman·Renata Kallosh·Divyanshu Murli·Antoine Van Proeyen·Yusuke Yamada
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Abstract

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

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Daniel Z. Freedman, Renata Kallosh, Divyanshu Murli, Antoine Van Proeyen, Yusuke Yamada. 2017-05-19. Absence of U(1) Anomalous Superamplitudes in $\mathcal{N}\geq 5$ Supergravities. https://doi.org/10.1007/jhep05(2017)067

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