Cancellation of Conformal and Chiral Anomalies in $N\ge 5$ supergravities

Abstract

A cancellation of conformal anomalies in d=4 for the $C^2+{\bar{C}}^2$ and of chiral anomalies for the $C^2-{\bar{C}}^2$ is known in N-extended supergravities with $N\ge 5$. We propose an explanation of these cancellations using supersymmetry and dimension of linearized chiral superfields. We contrast these models with the ones with $N<5$, where both types of anomalies are known to be present.

arXiv comment4 pages

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• Absence of U(1) Anomalous Superamplitudes in $\mathcal{N}\ge 5$ Supergravities
• Gravity loop integrands from the ultraviolet
• 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
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