Gravitational anomalies of fermionic higher-spin fields
arXiv:2205.15005 · doi:10.1007/JHEP09(2022)027
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.
11 pages. v2: Comments and references added, published version