Some disquisitions on cosmological 2-form dualities

Aoki, Katsuki; Jiménez, Jose Beltrán; Figueruelo, David

doi:10.1088/1475-7516/2023/04/059

Cited by 4 publications

(4 citation statements)

References 57 publications

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“…This relation tells us that a slowly decaying brane profile such that ε 1,2 ≪ 1 will necessary suffer from gradient instabilities for the perturbations propagating along the brane profile direction. This result is analogous to the gradient instabilities of cosmological quasi-de Sitter solutions with 2-forms [14], which is reminiscent of what occurs in shift-symmetric scalar field theories (see e.g. [15]).…”

Section: Stabilitymentioning

confidence: 52%

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Non-trivial thick brane realisations with 3-forms

Barros,

Jiménez

2024

J. High Energ. Phys.

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We explore the construction of four-dimensional thick branes supported by massless 3-forms in a five-dimensional bulk space. The required residual Poincaré symmetry on the brane is realised as a combination of the bulk symmetries and the internal gauge symmetry of the 3-form. We show the presence of a gradient instability for the perturbations orthogonal to the brane when its profile decays slowly in the asymptotic regions. In particular, we ascertain that the prevailing profiles found in the literature are susceptible to such instabilities. We confirm our results by transitioning to the dual formulation in terms of a shift-symmetric scalar. In this formulation, the residual Poincaré group is trivially realised without internal symmetries, and there is a diagonal translational invariance in the fifth dimension reminiscent of the invariance under translations orthogonal to the brane of the dual 3-form. We demonstrate the extension of our results to the cases of de Sitter and Anti de Sitter branes where the gradient instabilities of asymptotically slowly decaying branes persist. Finally, we briefly comment on the construction of thick branes with massive 3-forms and their 1-form duals.

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Section: Stabilitymentioning

confidence: 52%

“…10 9 Recall that the dualisation essentially corresponds to a canonical transformation where momenta and coordinates are exchanged. 10 A similar situation occurs for cosmological models with massive 2-forms and their 1-form duals [14].…”

Section: Massive 3-formsmentioning

confidence: 68%

Non-trivial thick brane realisations with 3-forms

Barros,

Jiménez

2024

J. High Energ. Phys.

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“…However, the cosmological symmetries can also be non-trivially realised with interesting phenomenological consequences (see e.g. [80][81][82][83][84][85][86]). The non-trivial realisations consist in using some internal symmetries (global or gauge) so that, despite having background fields that break some of the spatial rotations and/or translations, the presence of the internal symmetries allows for the existence of unbroken generators that permit to realise the cosmological symmetries.…”

Section: Jcap12(2023)010 3 Homogeneous and Isotropic Parallelismmentioning

confidence: 99%

General parallel cosmology

Aguiar Gomes,

Beltrán Jiménez,

Koivisto

2023

J. Cosmol. Astropart. Phys.

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General (tele)parallel Relativity, G∥R, is the relativistic completion of Einstein's theories of gravity. The focus of this article is the derivation of the homogeneous and isotropic solution in G∥R. The first-principles derivation, based on a non-trivial realisation of the symmetry, supersedes and unifies previous constructions of Riemannian and teleparallel cosmologies, and establishes the uniqueness of the physical solution. The constitutive law and the form of the material and inertial source currents is presented in the tensor (Palatini) formalism and adapted to the cosmological background, which exhibits novel features absent in the previously studied, static solutions to the theory. The results are contrasted with those in incomplete theories, such as sitting at the three corners of the geometrical trinity which correspond to particular reference frames in G∥R.

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“…For instance, in the case of cosmology, the background is given by the Friedmann-Lemaître-Robertson-Walker (FLRW) metric. Due to the high symmetry of the cosmological background, the relevant parameter space for both the scalar-tensor and vector-tensor theories significantly reduces [41][42][43][44][45][46][47][48][49][50][51][52]. Then, based on the universal description provided by the EFT method, model-independent predictions for the cosmological observables are possible.…”

Section: Introductionmentioning

confidence: 99%

Effective field theory of black hole perturbations in vector-tensor gravity

Aoki,

Gorji,

Mukohyama

et al. 2024

J. Cosmol. Astropart. Phys.

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We formulate the effective field theory (EFT) of vector-tensor gravity for perturbations around an arbitrary background with a timelike vector profile, which can be applied to study black hole perturbations. The vector profile spontaneously breaks both the time diffeomorphism and the U(1) symmetry, leaving their combination and the spatial diffeomorphism as the residual symmetries in the unitary gauge. We derive two sets of consistency relations which guarantee the residual symmetries of the EFT. Also, we provide the dictionary between our EFT coefficients and those of generalized Proca (GP) theories, which enables us to identify a simple subclass of the EFT that includes the GP theories as a special case. For this subclass, we consider the stealth Schwarzschild(-de Sitter) background solution with a constant temporal component of the vector field and study the decoupling limit of the longitudinal mode of the vector field, explicitly showing that the strong coupling problem arises due to vanishing sound speeds. This is in sharp contrast to the case of gauged ghost condensate, in which perturbations are weakly coupled thanks to certain higher-derivative terms, i.e., the scordatura terms. This implies that, in order to consistently describe this type of stealth solutions within the EFT, the scordatura terms must necessarily be taken into account in addition to those already included in the simple subclass.

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Some disquisitions on cosmological 2-form dualities

Cited by 4 publications

References 57 publications

Non-trivial thick brane realisations with 3-forms

Non-trivial thick brane realisations with 3-forms

General parallel cosmology

Effective field theory of black hole perturbations in vector-tensor gravity

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