Unitarity at the late time boundary of de Sitter

Şengör, Gizem; Skordis, Constantinos

doi:10.1007/jhep06(2020)041

Cited by 18 publications

(50 citation statements)

References 95 publications

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“…The work of [15,16] on the unitarity, and existence of scalar operators with a range of weights, and the comparison of their 2-point function to those of scalar fields and their conjugate momenta; is a pertinent example of the type of analysis to which it would be possible to apply our spinor construction. We have included statements on the limiting behaviour of the Wightman function in the late time regime for spinors in eq.…”

Section: Discussionmentioning

confidence: 99%

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Tensors and Spinors in de Sitter Space

Pethybridge,

Schaub

2021

Preprint

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We construct the Wightman function for symmetric traceless tensors and Dirac fermions in dS d+1 in a coordinate and index free formalism using a d + 2 dimensional ambient space. We expand the embedding space formalism to cover spinor and tensor fields in any even or odd dimension. Our goal is to furnish a self-contained toolkit for the study of fields of arbitrary spin in de Sitter, with applications to cosmological perturbation theory. The construction for spinors is shown in extensive detail. Concise expressions for the action of isometry generators on generic bulk fields, the 2-point function of bulk spinors, and a derivation of the uplift of the spinorial covariant derivative are included.

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Section: Discussionmentioning

confidence: 99%

“…These operators are naturally classified by their representation of SO(1, d + 1), and therefore specified by a complex weight ∆, and a representation of SO(d). Examples of scalar operators of this type are discussed in [15,16].…”

Section: Introductionmentioning

confidence: 99%

Tensors and Spinors in de Sitter Space

Pethybridge,

Schaub

2021

Preprint

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“…We now move on to a discussion of the quantized scalar field in dS 2 given the above realizations, following [49,58,59]. We can decompose our scalar field in modes Explicitly, we find…”

Section: Quantizationmentioning

confidence: 99%

An invitation to the principal series

Anous

Skulte

2020

SciPost Phys.

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Scalar unitary representations of the isometry group of dd-dimensional de Sitter space SO(1,d)SO(1,d) are labeled by their conformal weights \DeltaΔ. A salient feature of de Sitter space is that scalar fields with sufficiently large mass compared to the de Sitter scale 1/\ell1/ℓ have complex conformal weights, and physical modes of these fields fall into the unitary continuous principal series representation of SO(1,d)SO(1,d). Our goal is to study these representations in d=2d=2, where the relevant group is SL(2,\mathbb{R})SL(2,ℝ). We show that the generators of the isometry group of dS_22 acting on a massive scalar field reproduce the quantum mechanical model introduced by de Alfaro, Fubini and Furlan (DFF) in the early/late time limit. Motivated by the ambient dS_22 construction, we review in detail how the DFF model must be altered in order to accommodate the principal series representation. We point out a difficulty in writing down a classical Lagrangian for this model, whereas the canonical Hamiltonian formulation avoids any problem. We speculate on the meaning of the various de Sitter invariant vacua from the point of view of this toy model and discuss some potential generalizations.

show abstract

“…We now move on to a discussion of the quantized scalar field in dS 2 given the above realizations, following [49,58,59]. We can decompose our scalar field in modes…”

Section: Quantizationmentioning

confidence: 99%

An invitation to the principal series

Anous,

Skulte

2020

Preprint

View full text Add to dashboard Cite

Scalar unitary representations of the isometry group of d-dimensional de Sitter space SO(1, d) are labeled by their conformal weights ∆. A salient feature of de Sitter space is that scalar fields with sufficiently large mass compared to the de Sitter scale 1/ have complex conformal weights, and physical modes of these fields fall into the unitary continuous principal series representation of SO(1, d). Our goal is to study these representations in d = 2, where the relevant group is SL(2, R). We show that the generators of the isometry group of dS 2 acting on a massive scalar field reproduce the quantum mechanical model introduced by de Alfaro, Fubini and Furlan (DFF) in the early/late time limit. Motivated by the ambient dS 2 construction, we review in detail how the DFF model must be altered in order to accommodate the principal series representation. We point out a difficulty in writing down a classical Lagrangian for this model, whereas the canonical Hamiltonian formulation avoids any problem. We speculate on the meaning of the various de Sitter invariant vacua from the point of view of this toy model and discuss some potential generalizations.

show abstract

Unitarity at the late time boundary of de Sitter

Cited by 18 publications

References 95 publications

Tensors and Spinors in de Sitter Space

Tensors and Spinors in de Sitter Space

An invitation to the principal series

An invitation to the principal series

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