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arXiv · 2205.15005

Gravitational anomalies of fermionic higher-spin fields

Victor Lekeu·Yi Zhang
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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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Victor Lekeu, Yi Zhang. 2022-08-09. Gravitational anomalies of fermionic higher-spin fields. https://doi.org/10.1007/jhep09(2022)027

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