Exceptional scalar theories in de Sitter space

Bonifacio, James; Hinterbichler, Kurt; Joyce, Austin; Roest, Diederik

doi:10.48550/arxiv.2112.12151

Cited by 4 publications

(4 citation statements)

References 71 publications

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“…From a formal standpoint, this situation is already of interest, but of course our ultimate aim is to understand the properties of the wavefunction in cosmological spacetimes. The most obvious and straightforward extension is to study the analogue of our results in a fixed de Sitter background for the exceptional scalar theories constructed in [71,72]. The fields appearing in these theories have particular masses in de Sitter space, so that the relevant time integrals are related to those in flat space in a simple fashion.…”

Section: Discussionmentioning

confidence: 90%

Soft limits of the wavefunction in exceptional scalar theories

Noah¹,

Joyce²

2022

Preprint

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We study the structure of the flat space wavefunctional in scalar field theories with nonlinearly realized symmetries. These symmetries imply soft theorems that are satisfied by wavefunction coefficients in the limit where one of the external momenta is scaled to zero. After elucidating the structure of these soft theorems in the nonlinear sigma model, Dirac-Born-Infeld, and galileon scalar theories, we combine them with information about the singularity structure of the wavefunction to bootstrap the wavefunction coefficients of these theories. We further systematize this construction through two types of recursion relations: one that utilizes the flat space scattering amplitude plus minimal information about soft limits, and an alternative that does not require amplitude input, but does require subleading soft information.

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Section: Discussionmentioning

confidence: 90%

Soft limits of the wavefunction in exceptional scalar theories

Noah¹,

Joyce²

2022

Preprint

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“…Note that this is the mass value for a k = 1 Galileon/DBI shift-symmetric scalar in de Sitter[47][48][49][50][51]. The shift symmetry is the broken conformal symmetry.…”

mentioning

confidence: 86%

On the EFT of Conformal Symmetry Breaking

Hinterbichler¹,

Liang²,

Trodden³

2022

Preprint

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Conformal symmetry can be spontaneously broken due to the presence of a defect or other background, which gives a symmetry-breaking vacuum expectation value (VEV) to some scalar operators. We study the effective field theory of fluctuations around these backgrounds, showing that it organizes as an expansion in powers of the inverse of the VEV, and computing some of the leading corrections. We focus on the case of space-like defects in a four-dimensional Lorentzian theory relevant to the pseudo-conformal universe scenario, although the conclusions extend to other kinds of defects and to the breaking of conformal symmetry to Poincaré symmetry.

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“…The above analysis suggests a clear-cut strategy for constructing the double copy of the NLSM in curved spacetime. Based on what is known in flat space [71,87], the resulting theory should be the special Galileon (SG) [90,91], appropriately generalized to curved spacetime [92,93]. To this end, we define a generalization of the chiral tensor of the SG [71] on a symmetric manifold,…”

Section: Special Galileonmentioning

confidence: 99%

On-shell correlators and color-kinematics duality in curved symmetric spacetimes

Cheung

Parra-Martinez

Sivaramakrishnan

2022

J. High Energ. Phys.

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We define a perturbatively calculable quantity — the on-shell correlator — which furnishes a unified description of particle dynamics in curved spacetime. Specializing to the case of flat and anti-de Sitter space, on-shell correlators coincide precisely with on-shell scattering amplitudes and boundary correlators, respectively. Remarkably, we find that symmetric manifolds admit a generalization of on-shell kinematics in which the corresponding momenta are literally the isometry generators of the spacetime acting on the external kinematic data. These isometric momenta are intrinsically non-commutative but exhibit on-shell conditions that are identical to those of flat space, thus providing a common language for computing and representing on-shell correlators which is agnostic about the underlying geometry. Afterwards, we compute tree-level on-shell correlators for biadjoint scalar (BAS) theory and the nonlinear sigma model (NLSM) and learn that color-kinematics duality is manifested at the level of fields under a mapping of the color algebra to the algebra of gauged isometries on the spacetime manifold. Last but not least, we present a field theoretic derivation of the fundamental BCJ relations for on-shell correlators following from the existence of certain conserved currents in BAS theory and the NLSM.

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Exceptional scalar theories in de Sitter space

Cited by 4 publications

References 71 publications

Soft limits of the wavefunction in exceptional scalar theories

Soft limits of the wavefunction in exceptional scalar theories

On the EFT of Conformal Symmetry Breaking

On-shell correlators and color-kinematics duality in curved symmetric spacetimes

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