期刊
CLASSICAL AND QUANTUM GRAVITY
卷 40, 期 21, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1361-6382/acf9d8
关键词
conformally covariant operators; metric affine theories of gravity; mixed symmetry tensors
We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension, completing the classification of conformal actions for arbitrary tensors with three indices. We also discuss the degrees of freedom and interacting metric-affine theories that enjoy the conformal actions in the Gaussian limit.
We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension d. Our results complete the classification of conformal actions that are quadratic on arbitrary tensors with three indices, which allows to write corresponding conformal actions for all tensor species that appear in the decomposition of the distorsion tensor of an arbitrary metric-affine theory of gravity including both torsion and nonmetricity. We also discuss the degrees of freedom that such theories are propagating, as well as interacting metric-affine theories that enjoy the conformal actions in the Gaussian limit.
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