High Energy Physics - Theory
[Submitted on 27 Jul 2000 (v1), last revised 5 Oct 2000 (this version, v2)]
Title:Inconsistency of interacting, multi-graviton theories
View PDFAbstract: We investigate, in any spacetime dimension >=3, the problem of consistent couplings for a finite 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 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.
Submission history
From: Leonardo Gualtieri [view email][v1] Thu, 27 Jul 2000 15:51:19 UTC (46 KB)
[v2] Thu, 5 Oct 2000 11:46:18 UTC (47 KB)
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