Interactions for Partially-Massless Spin-2 Fields

Boulanger, Nicolas; García-Sáenz, Sebastián; Traina, Lucas

doi:10.1134/s1547477120050064

Cited by 4 publications

(2 citation statements)

References 71 publications

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“…Given the similarity of the generalised conformal graviton to the partially massless graviton, and the various no-go theorems regarding self-interactions of the latter (see for instance [53][54][55] and references therein), the supermultiplet (3.1) could play an important role in such an analysis (cf. the discussions in [38,56]).…”

Section: Discussionmentioning

confidence: 93%

Generalised superconformal higher-spin multiplets

Kuzenko,

Ponds,

Raptakis

2020

Preprint

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We propose generalised N = 1 superconformal higher-spin (SCHS) gauge multiplets of depth t,At the component level, for t > 2 they contain generalised conformal higher-spin (CHS) gauge fields with depths t − 1, t and t + 1. The supermultiplets with t = 1 and t = 2 include both ordinary and generalised CHS gauge fields. Super-Weyl and gauge invariant actions describing the dynamics of Υ (t) α(n) α(m) on conformally-flat superspace backgrounds are then derived. For the case n = m = t = 1, corresponding to the maximal-depth conformal graviton supermultiplet, we extend this action to Bach-flat backgrounds. Models for superconformal non-gauge multiplets, which are expected to play an important role in the Bach-flat completions of the models for Υ (t) α(n) α(m) , are also provided. Finally we show that, on Bach-flat backgrounds, requiring gauge and Weyl invariance does not always determine a model for a CHS field uniquely.

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Section: Discussionmentioning

confidence: 93%

Generalised superconformal higher-spin multiplets

Kuzenko,

Ponds,

Raptakis

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Given the similarity of the generalised conformal graviton to the partially massless graviton, and the various no-go theorems regarding self-interactions of the latter (see for instance [54][55][56] and references therein), the supermultiplet (3.1) could play an important role in such an analysis (cf. the discussions in [38,57]).…”

Section: Jhep03(2021)183mentioning

confidence: 93%

Generalised superconformal higher-spin multiplets

Kuzenko

Ponds

Raptakis

2021

J. High Energ. Phys.

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We propose generalised $$ \mathcal{N} $$ N = 1 superconformal higher-spin (SCHS) gauge multiplets of depth t, $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t , with n ≥ m ≥ 1. At the component level, for t > 2 they contain generalised conformal higher-spin (CHS) gauge fields with depths t − 1, t and t + 1. The supermultiplets with t = 1 and t = 2 include both ordinary and generalised CHS gauge fields. Super-Weyl and gauge invariant actions describing the dynamics of $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t on conformally-flat superspace backgrounds are then derived. For the case n = m = t = 1, corresponding to the maximal-depth conformal graviton supermultiplet, we extend this action to Bach-flat backgrounds. Models for superconformal non-gauge multiplets, which are expected to play an important role in the Bach-flat completions of the models for $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t , are also provided. Finally we show that, on Bach-flat backgrounds, requiring gauge and Weyl invariance does not always determine a model for a CHS field uniquely.

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Black holes in multimetric gravity

Wood,

Saffin,

Avgoustidis

2024

Phys. Rev. D

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We construct a wide class of black hole solutions to the general theory of ghost-free multimetric gravity in arbitrary spacetime dimension, extending and generalizing the known results in four-dimensional dRGT massive gravity and bigravity. The solutions are split into three generic classes based on whether the metrics can be simultaneously diagonalized—one of which does not exist in dRGT massive gravity nor bigravity, and is only possible when one has more than two interacting metric fields. We also linearize the general multimetric theory to determine the dynamics of the massive spin-2 modes, including examples where this can be done analytically, and use the linear theory to discuss the stability of the four-dimensional multi-Schwarzschild and multi-Kerr solutions. We explain how the instabilities that plague these solutions in dRGT massive gravity and bigravity carry across to the general multimetric theory, touching upon ideas of dimensional deconstruction to make sense of the results. Published by the American Physical Society 2024

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Interactions for Partially-Massless Spin-2 Fields

Cited by 4 publications

References 71 publications

Generalised superconformal higher-spin multiplets

Generalised superconformal higher-spin multiplets

Generalised superconformal higher-spin multiplets

Black holes in multimetric gravity

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