S Yajima et al 2007 Class. Quantum Grav. 24 965 doi:10.1088/0264-9381/24/4/015
Gravitational anomalies in higher dimensional Riemann–Cartan space
S Yajima1, S Tokuo1, M Fukuda1, Y Higashida2, Y Kamo3, S-I Kubota4 and H Taira1
Show affiliationsBy applying the covariant Taylor expansion method of the heat kernel, the covariant Einstein anomalies associated with a Weyl fermion of spin 
in four-, six- and eight-dimensional Riemann–Cartan space are manifestly given. Many unknown terms with torsion tensors appear in these anomalies. The Lorentz anomaly is intimately related to the Einstein anomaly even in Riemann–Cartan space. The explicit form of the Lorentz anomaly corresponding to the Einstein anomaly is also obtained.
- PACS
- MSC
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41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
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Issue 4 (21 February 2007)
Received 3 October 2006, in final form 29 December 2006
Published 29 January 2007
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Gravitational anomalies in higher dimensional Riemann–Cartan space
S Yajima et al 2007 Class. Quantum Grav. 24 965
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