# Theory for multiple partially massless spin-2 fields

@article{Boulanger2019TheoryFM,
title={Theory for multiple partially massless spin-2 fields},
author={N. Boulanger and C. Deffayet and S. Garcia-Saenz and L. Traina},
journal={Physical Review D},
year={2019}
}
We revisit the problem of building consistent interactions for a multiplet of partially massless spin-2 fields in (anti-)de Sitter space. After rederiving and strengthening the existing no-go result on the impossibility of Yang-Mills type non-abelian deformations of the partially massless gauge algebra, we prove the uniqueness of the cubic interaction vertex and field-dependent gauge transformation that generalize the structures known from single-field analyses. Unlike in the case of one… Expand
5 Citations
Interactions for Partially-Massless Spin-2 Fields
• Physics
• 2020
Partially massless (PM) fields of spin-2 have been subject to renewed attention in recent years after the important advances made in the understanding of massive gravity [1,2]. In four-dimensional deExpand
Supersymmetric partially massless fields and non-unitary superconformal representations
• Physics
• 2018
A bstractWe find and classify the N=1$$\mathcal{N}=1$$ SUSY multiplets on AdS4 which contain partially massless fields. We do this by studying the non-unitary representations of the d = 3Expand
Pure Lorentz spin connection theories and uniqueness of General Relativity
• Physics
• 2021
General Relativity can be reformulated as a diffeomorphism invariant gauge theory of the Lorentz group, with Lagrangian of the type f(F ∧ F ), where F is the curvature 2-form of the spin connection.Expand
$$\mathcal{N}$$ = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations
• Physics
• 2021
We find and classify the simplest ${\cal N}=2$ SUSY multiplets on AdS$_4$ which contain partially massless fields. We do this by studying representations of the ${\cal N}=2$, $d=3$ superconformalExpand
The cosmological bootstrap: weight-shifting operators and scalar seeds
• Physics
• 2019
A key insight of the bootstrap approach to cosmological correlations is the fact that all correlators of slow-roll inflation can be reduced to a unique building block---the four-point function ofExpand

#### References

SHOWING 1-10 OF 102 REFERENCES
A theory for multiple partially massless spin-2 fields
• Physics
• 2020
We revisit the problem of building consistent interactions for a multiplet of partially massless spin-2 fields in (anti-)de Sitter space. After rederiving and strengthening the existing no-go resultExpand
Looking for partially-massless gravity
• Physics
• 2019
We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PMExpand
No-go theorems for unitary and interacting partially massless spin-two fields.
• Physics, Medicine
• Physical review letters
• 2014
There cannot exist a unitary theory of a PM spin-two field coupled to Einstein gravity with a perturbatively local Lagrangian, and it is shown that the PM limit of massive gravity also lacks the PM gauge symmetry. Expand
Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
• Physics
• 2017
We construct a non-linear theory of interacting spin-2 fields that is invariant under the partially massless (PM) symmetry to all orders. This theory is based on the SO(1, 5) group, in analogy withExpand
No-go for partially massless spin-2 Yang-Mills
• Physics
• 2015
A bstractThere are various no-go results forbidding self-interactions for a single partially massless spin-2 field. Given the photon-like structure of the linear partially massless field, it isExpand
Inconsistency of interacting, multi-graviton theories
• Physics
• 2001
We investigate, in any space-time dimension ≥3, the problem of consistent couplings for a (finite or infinite) collection of massless, spin-2 fields described, in the free limit, by a sum ofExpand
Dual actions for massless, partially-massless and massive gravitons in (A)dS
• Physics
• 2018
Abstract We provide a unified treatment of electric–magnetic duality, at the action level and with manifest Lorentz invariance, for massive, massless as well as partially-massless gravitonsExpand
Partially massless higher-spin theory
• Physics
• 2016
A bstractWe study a generalization of the D-dimensional Vasiliev theory to include a tower of partially massless fields. This theory is obtained by replacing the usual higher-spin algebra of KillingExpand
Partially massless higher-spin theory II: one-loop effective actions
• Physics
• 2016
We continue our study of a generalization of the D-dimensional linearized Vasiliev higher-spin equations to include a tower of partially massless (PM) fields. We compute one-loop effective actions byExpand
Supersymmetric partially massless fields and non-unitary superconformal representations
• Physics
• 2018
A bstractWe find and classify the N=1$$\mathcal{N}=1$$ SUSY multiplets on AdS4 which contain partially massless fields. We do this by studying the non-unitary representations of the d = 3Expand