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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference30 articles.
1. J. Fang and C. Fronsdal, Massless Fields with Half Integral Spin, Phys. Rev. D 18 (1978) 3630 [INSPIRE].
2. C. Aragone and S. Deser, Consistency Problems of Hypergravity, Phys. Lett. B 86 (1979) 161 [INSPIRE].
3. X. Bekaert, N. Boulanger and P. Sundell, How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples, Rev. Mod. Phys. 84 (2012) 987 [arXiv:1007.0435] [INSPIRE].
4. X. Bekaert et al., Snowmass White Paper: Higher Spin Gravity and Higher Spin Symmetry, arXiv:2205.01567 [INSPIRE].
5. M.F. Atiyah and I.M. Singer, The Index of elliptic operators. IV, Annals Math. 93 (1971) 119 [INSPIRE].
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献