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Multi-graviton theories : yes-go and no-go results
High Energy Physics - Theory · Submitted 23 Nov 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We report yes-go and no-go results on consistent cross-couplings for a collection of gravitons.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We report yes-go and no-go results on consistent cross-couplings for a collection of gravitons. | contribution 0.53 | 0.94 | 0.76 | asserted 0.98 |
| s1 | 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. | contribution 0.63 | 0.67 | 0.06 | asserted 0.68 |
| s2 | 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. | result 0.57 | 0.95 | 0.24 | asserted 1.00 |
| s3 | As the single-graviton Weyl theory, these theories do not have an energy bounded from below. | result 0.43 | 0.69 | 0.15 | asserted 1.00 |
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The paper
Original 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.
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2 arXiv papers cite this in 2 sentences
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Let us also refer to [ref] for reviews of the spin-2 and spin-3 deformation problems in Minkowski spacetime.
Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds · Problems addressed · 0.98
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