English

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

High Energy Physics - Theory 2015-06-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0111216,
  title  = {Multi-graviton theories : yes-go and no-go results},
  author = {Nicolas Boulanger},
  journal= {arXiv preprint arXiv:hep-th/0111216},
  year   = {2015}
}

Comments

6 pages, Latex. Talk given at the RTN meeting ``The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions'', Corfu, 13-20 September 2001