Multi-graviton theories : yes-go and no-go results

Details Multi-graviton theories : yes-go and no-go results Multi-graviton theories : yes-go and no-go results

2001-11-23

arxiv.org/abs/hep-th/0111216v1

Fortsch.Phys. 50 (2002) 858-863

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex. Talk given at the RTN meeting ``The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Int

Scientific paper

We report yes-go and no-go results on consistent cross-couplings for a collection of gravitons. Motivated by the search of theories where multiplets of massless spin-two fields cross-interact, we look for all the consistent deformations of a positive sum of Pauli-Fierz actions. We also investigate the problem of deforming a (positive and negative) sum of linearized Weyl gravity actions and show explicitly that there exists multi-Weyl-graviton theories. As the single-graviton Weyl theory, these theories do not have an energy bounded from below.

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