Absence of U(1) Anomalous Superamplitudes in $\mathcal{N}\geq 5$ Supergravities
| Autor: | Freedman, Daniel Z., Kallosh, Renata, Murli, Divyanshu, Van Proeyen, Antoine, Yamada, Yusuke |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | JHEP 1705 (2017) 067 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2017)067 |
| Popis: | 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. Comment: 32 pages, v2:typo corrected, reference added, v3:typos corrected |
| Databáze: | arXiv |
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