Gravitational anomalies of fermionic higher-spin fields

Abstract

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.

Keywords

• Anomalies in Field and String Theories
• Higher Spin Symmetry