Gravitational anomalies of fermionic higher-spin fields

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.

arXiv comment11 pages. v2: Comments and references added, published version

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Cited by in corpus (1)

• Anomaly Inflow of Rarita-Schwinger Field in 3 Dimensions