Interactions of multiple spin-2 fields beyond pairwise couplings

Hassan, S.F.; Schmidt-May, Angnis

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Interactions of multiple spin-2 fields beyond pairwise couplings

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Hassan, S.F.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Schmidt-May, Angnis
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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https://arxiv.org/pdf/1804.09723.pdf
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Citation

Hassan, S., & Schmidt-May, A. (2019). Interactions of multiple spin-2 fields beyond pairwise couplings. Physical Review Letters, 122, 251101. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-66.

Cite as: https://hdl.handle.net/21.11116/0000-0005-D66F-E

Abstract

Thus far, all known ghost-free interactions of multiple spin-2 fields have involved at most pairwise couplings of the fields, which are direct generalizations of bimetric interactions. Here we present a class of spin-2 theories with genuine multi-field interactions, and explicitly demonstrate the absence of ghost instabilities. The construction involves integrating out a nondynamical field in a theory of spin-2 fields with only pairwise ghost-free interactions. The new multi-vierbein interactions generated are not always expressible in terms of the associated metrics.