Abstract
We revisit anomalies of (4, 0) and (3, 1) maximally supersymmetric tensor theories in d = 6. A (4, 0) on-shell tensor multiplet descends to that of the d = 5 maximal supergravity upon a dimensional reduction, hypothesized to offer a strong-coupled UV completion of the latter in the same sense of (2, 0) theories as the UV completion of d = 5 \( \mathcal{N} \) = 2 pure Yang-Mills. The gravitational anomalies, found to be nonvanishing, had been computed, although its relevance in the absence of the d = 6 metric is not obvious. We perform a comprehensive anomaly computation for (4, 0) and (3, 1) tensor supermultiplets, respectively, for Sp(4) and Sp(3) × Sp(1) R-symmetry anomalies and the mixed R-gravitational anomaly thereof, and find that anomalies involving R-symmetries cancel out identically. We close with questions on how to address the anomaly in this class of theories with no general covariance.
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Acknowledgments
We thank Qiang Jia, Victor Lekeu, Hong Lü, Ruben Minasian, Yi Pang and Yi-Nan Wang for discussions. PY is particularly grateful to Sungjay Lee for bringing the (4, 0) theory and Hull’s proposal to his attention and also for several key discussions thereafter. YZ would like to thank Korea Institute for Advanced Study for their warm hospitality during this project. We are also grateful to the 18th Kavli Asian Winter School on Strings, Particles and Cosmology with the meeting number: YITP-W-23-13. YZ is supported by National Science Foundation of China under Grant No. 12305077 and under Grant No. 12175004 and also by the Office of China Postdoc Council (OCPC) and Peking University under Grant No. YJ20220018. PY is supported by KIAS individual grant (PG005705).
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Yi, P., Zhang, Y. Axial anomalies of maximally supersymmetric tensor theories. J. High Energ. Phys. 2024, 7 (2024). https://doi.org/10.1007/JHEP07(2024)007
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DOI: https://doi.org/10.1007/JHEP07(2024)007