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Interactions of multiple spin-2 fields beyond pairwise couplings
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Interactions of multiple spin-2 fields beyond pairwise couplings
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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.
Forward citations
Cited by 2 Pith papers
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On the Uniqueness of Ghost-Free Multi-Gravity -- II: Constraining antisymmetrised multi spin-2 interactions
The known ghost-free multivielbein theory is the unique ghost-free theory with genuine multi-field interactions for more than two vielbeins.
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Bimetric interactions based on metric congruences
Bimetric interactions are defined via a congruence matrix, with the square root shown as the unique power series solution and algebraic equivalence to the unconstrained vielbein formulation.
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