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<p>We suggest that the surprising one-loop finiteness of 6D half-maximal supergravities recently discovered in [<CitationRef CitationID="CR1">1</CitationRef>] might be related to anomaly-free <i>SO</i>(5, 21) G-duality symmetry in (2, 0) supergravity with 21 tensor multiplets and to anomaly-free <i>SO</i>(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 <i>E</i><sub>7(7)</sub> G-duality symmetry in the UV finiteness of a maximal 4D supergravity at 3 loops.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月1日

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  • Renata Kallosh

摘要

We suggest that the surprising one-loop finiteness of 6D half-maximal supergravities recently discovered in [1] 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 E7(7) G-duality symmetry in the UV finiteness of a maximal 4D supergravity at 3 loops.