par Henneaux, Marc 
;Boulanger, Nicolas ;Damour, Thibault;Gualtieri, Leonardo
Référence Nuclear Physics B, 597, 1-3, page (127-171)
Publication Publié, 2000-07
;Boulanger, Nicolas ;Damour, Thibault;Gualtieri, Leonardo Référence Nuclear Physics B, 597, 1-3, page (127-171)
Publication Publié, 2000-07
Article révisé par les pairs
| Résumé : | 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. |
