Multi-graviton theories : yes-go and no-go results
arXiv:hep-th/0111216 · doi:10.1002/1521-3978(200209)50:8/9<858::AID-PROP858>3.0.CO;2-7
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.
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
Cited by in corpus (8)
- On massive spin 2 interactions
- Consistent couplings between spin-2 and spin-3 massless fields
- Multi-graviton theory, a latticized dimension, and the cosmological constant
- Looking for partially-massless gravity
- Multi-(super)graviton theory on topologically non-trivial backgrounds
- Non-Relativistic Limits of Colored Gravity in Three Dimensions
- Vacuum Energy from an Extra Dimension with UV/IR Connection
- Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds