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

Abstract

We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in $\mathcal{N}\ge 5$ 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 $\mathcal{N}\ge 5$. 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.

32 pages, v2:typo corrected, reference added, v3:typos corrected

References in corpus (8)

• New Relations for Gauge-Theory Amplitudes
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• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• The D^{2k} R^4 Invariants of N=8 Supergravity
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• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• Manifesting enhanced cancellations in supergravity: integrands versus integrals
• Gravity loop integrands from the ultraviolet
• Duality Constraints on Counterterms in $\mathcal{N}=5,6$ Supergravities
• The Action with Manifest E7 Type Symmetry
• Supersymmetry constraints on U-duality invariant deformations of $N\ge 5$ Supergravity
• Conformal Anomaly and Off-Shell Extensions of Gravity
• Extended geometry of magical supergravities
• On quantum compatibility of counterterm deformations and duality symmetries in $\mathcal{N}\ge 5$ supergravities
• Deformation of d=4, N> 4 Supergravities Breaks Nonlinear Local Supersymmetry