Anomaly cancellation and one-loop finiteness of 6D half-maximal supergravities

Renata Kallosh

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arXiv · 2512.05082

Anomaly cancellation and one-loop finiteness of 6D half-maximal supergravities

Renata Kallosh

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Abstract

We suggest that the surprising one-loop finiteness of 6D half-maximal supergravities recently discovered in \cite{Huang:2025nyr} might be related to anomaly-free $SO(5, 21)$ G-duality symmetry in $(2,0)$ supergravity with 21 tensor multiplets and to anomaly-free $SO(4, 20)$ G-duality symmetry of $(1,1)$ supergravity with 20 vector multiplets. Our argument is reminiscent of the analogous role of the anomaly-free $E_{7(7)}$ G-duality symmetry in the UV finiteness of a maximal 4D supergravity at 3 loops.

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Renata Kallosh. 2025-12-04. Anomaly cancellation and one-loop finiteness of 6D half-maximal supergravities. https://arxiv.org/abs/2512.05082

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