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Inconsistency of interacting, multi-graviton theories

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Boulanger, Nicolas, Damour, Thibault, Gualtieri, Leonardo, Henneaux, Marc·2001·Nuclear Physics B

Abstract

We investigate, in any space-time dimension ≥3, the problem of consistent couplings for a (finite or infinite) collection of massless, spin-2 fields described, in the free limit, by a sum of Pauli-Fierz actions. We show that there is no consistent (ghost-free) coupling, with at most two derivatives of the fields, that can mix the various "gravitons". In other words, there are no Yang-Mills-like spin-2 theories. The only possible deformations are given by a sum (or integral) of individual Einstein-Hilbert actions. The impossibility of cross-couplings subsists in the presence of scalar matter. Our approach is based on the BRST-based deformation point of view and uses results on the so-called "characteristic cohomology" for massless spin-2 fields which are explained in detail. © 2001 Elsevier Science B.V.

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Metadata

Authors
Boulanger, N., Damour, T., Gualtieri, L., & Henneaux, M.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
2001-03
Volume
597
Issue
1-3
Pages
127-171
ISSN
0550-3213 (ISSN-L)
OpenAlex
W2093584451
Cited by
272
References
1
FWCI
6.63
Type
journal article
Language
en
Open access
green

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