Gravitational anomalies of fermionic higher-spin fields

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作者
Victor Lekeu
Yi Zhang
机构
[1] Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) Am Mühlenberg 1,Center for High Energy Physics
[2] Peking University,Institut de Physique Théorique
[3] Université Paris Saclay,undefined
[4] CNRS,undefined
关键词
Anomalies in Field and String Theories; Higher Spin Symmetry;
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摘要
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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