Shift symmetries in (anti) de Sitter space

Bonifacio, James; Hinterbichler, Kurt; Joyce, Austin; Rosen, Rachel A.

doi:10.1007/jhep02(2019)178

Cited by 45 publications

(94 citation statements)

References 152 publications

(330 reference statements)

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“…11 The two exceptional EFTs are the scalar DBI and special galileon [28] (the more general galileon EFT [27] is the σ = 2 extended shift symmetry). See [50] for a classification in dS/AdS space.…”

Section: Soft Degree σmentioning

confidence: 99%

The cosmological phonon: symmetries and amplitudes on sub-horizon scales

Grall

Jazayeri

Stefanyszyn

2020

J. High Energ. Phys.

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In contrast to massless spinning particles, scalars are not heavily constrained by unitarity and locality. Off-shell, no gauge symmetries are required to write down manifestly local theories, while on-shell consistent factorisation is trivial. Instead a useful classification scheme for scalars is based on the symmetries they can non-linearly realise. Motivated by the breaking of Lorentz boosts in cosmology, in this paper we classify the possible symmetries of a shift-symmetric scalar that is assumed to non-linearly realise Lorentz boosts as, for example, in the EFT of inflation. Our classification method is algebraic; guided by the coset construction and inverse Higgs constraints. We rediscover some known phonon theories within the superfluid and galileid classes, and discover a new galileid theory which we call the extended galileid. Generic galileids correspond to the broken phase of galileon scalar EFTs and our extended galileids correspond to special subsets where each galileon coupling is fixed by an additional symmetry. We discuss the broken phase of theories that also admit a perturbation theory around Poincaré invariant vacua and we show that the so-called exceptional EFTs, the DBI scalar and special galileon, do not admit such a broken phase. Concentrating on DBI we provide a detailed account of this showing that the scattering amplitudes are secretly Poincaré invariant when the theory is expanded around the superfluid background used in the EFT of inflation. We point out that DBI is an exception to the common lore that the residue of the total energy pole of cosmological correlators is proportional to the amplitude. We also discuss the inevitability of poles in 2 → 2 scattering amplitudes when boost are spontaneously broken meaning that such theories do not admit Adler zeros and generalisations even in the presence of a shift symmetry.

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Section: Soft Degree σmentioning

confidence: 99%

The cosmological phonon: symmetries and amplitudes on sub-horizon scales

Grall

Jazayeri

Stefanyszyn

2020

J. High Energ. Phys.

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“…Interacting theories of scalars in (A)dS space with k ≤ 2 shift symmetries were studied in Ref. [21], which are generalizations of the galileon and special galileon to (A)dS space. Here we have shown that there also exist interacting vector theories with a non-abelian k = 0 shift symmetry.…”

Section: Discussionmentioning

confidence: 99%

“…Consider a free massive spin-1 field, A µ , on (A)dS 4 with mass m, as described by the Proca Lagrangian It was shown in Ref. [21] that for particular values of the mass the free theory (2.1) acquires various shift symmetries. In particular, at the mass value…”

Section: Symmetries Of the Free (A)ds Spin-1 Theorymentioning

confidence: 99%

Shift-symmetric spin-1 theories

Bonifacio

Hinterbichler

Johnson

et al. 2019

J. High Energ. Phys.

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We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors. We show how they emerge from the massless limit of massive spin-2 theories on (A)dS space. In the case of massive gravity, the corresponding spin-1 theory realizes a symmetry breaking pattern that takes two copies of the (A)dS isometry group down to a diagonal subgroup. By taking the flat space limit of this theory, we find a new symmetry of the decoupling limit of massive gravity in flat space. This symmetry acts on the vector modes, is parametrized by an antisymmetric tensor, and fixes the nonlinear structure of the scalar-vector sector of the decoupling limit.

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“…For classifications of non-linearly realized symmetries in the cosmological background, using Lagrangian and algebraic methods, see [82,83]. A similar classification to the one presented in this thesis for AdS backgrounds appears in [81].…”

Section: Possibilities For Future Researchmentioning

confidence: 67%

“…While this theory propagates a ghost (and does not allow for gauge symmetry or a central extension), it might be related to a sensible EFT by including a cosmological constant: in AdS space-time there is a theory of a massive vector with a double copy of the AdS isometries as non-linear symmetries, which arises in a specific decoupling limit of massive gravity. [81,172] It would be very interesting to investigate the relations of this theory to its flat space-time counterpart discussed here. Exceptional EFTs with N = 1 supersymmetry…”

Section: Vector Goldstone Modesmentioning

confidence: 99%

Classification of symmetry breaking patterns in the theory of non-linear realizations

Werkman

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Shift symmetries in (anti) de Sitter space

Cited by 45 publications

References 152 publications

The cosmological phonon: symmetries and amplitudes on sub-horizon scales

The cosmological phonon: symmetries and amplitudes on sub-horizon scales

Shift-symmetric spin-1 theories

Classification of symmetry breaking patterns in the theory of non-linear realizations

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