Abstract
Using the Atiyah-Singer index theorem, we formally compute gravitational anomalies for fermionic higher-spin fields in two, six and ten dimensions, as well as the U(1) mixed gauge-gravitational anomaly in four dimensions. In all cases, anomaly cancellations are found for an infinite tower of fields with alternating chiralities.
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Lekeu, V., Zhang, Y. Gravitational anomalies of fermionic higher-spin fields. J. High Energ. Phys. 2022, 27 (2022). https://doi.org/10.1007/JHEP09(2022)027
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DOI: https://doi.org/10.1007/JHEP09(2022)027