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Spectator Composes a Gravitational Canon: Spectator-field-triggered Phase Transition During Inflation and its Anisotropic Gravitational Wave Signals
High Energy Physics - Phenomenology · Submitted 7 Jan 2026 · Published version
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim More generally, our framework applies to a wide class of spectator-modulated phenomena, providing a generic mechanism for producing anisotropic GW signals.
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The abstract, sentence by sentence
We propose a general framework in which a phase transition is triggered during cosmic inflation by the slow-roll dynamics of a spectator field. The topological defects formed at the transition are inflated outside the horizon, reenter it after inflation, and can subsequently generate characteristic gravitational-wave (GW) signals. Quantum fluctuations of the spectator field modulate the timing of the transition, imprinting large-scale anisotropies in the resulting GW background. As an explicit realization, the spectator field may be identified with the Higgs field in a supersymmetric Standard Model. More generally, our framework applies to a wide class of spectator-modulated phenomena, providing a generic mechanism for producing anisotropic GW signals.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a general framework in which a phase transition is triggered during cosmic inflation by the slow-roll dynamics of a spectator field. | contribution 0.99 | 0.80 | 0.27 | asserted 0.66 |
| s1 | The topological defects formed at the transition are inflated outside the horizon, reenter it after inflation, and can subsequently generate characteristic gravitational-wave (GW) signals. | contribution 0.35 | 0.27 | 0.19 | hedged possibility 0.73 |
| s2 | Quantum fluctuations of the spectator field modulate the timing of the transition, imprinting large-scale anisotropies in the resulting GW background. | result 0.60 | 0.52 | 0.31 | asserted 0.96 |
| s3 | As an explicit realization, the spectator field may be identified with the Higgs field in a supersymmetric Standard Model. | contribution 0.44 | 0.36 | 0.06 | hedged possibility 1.00 |
| s4 | More generally, our framework applies to a wide class of spectator-modulated phenomena, providing a generic mechanism for producing anisotropic GW signals. | interpretation 0.71 | 0.55 | 0.34 | asserted 0.95 |
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The paper
Original abstract
We propose a general framework in which a phase transition is triggered during cosmic inflation by the slow-roll dynamics of a spectator field. The topological defects formed at the transition are inflated outside the horizon, reenter it after inflation, and can subsequently generate characteristic gravitational-wave (GW) signals. Quantum fluctuations of the spectator field modulate the timing of the transition, imprinting large-scale anisotropies in the resulting GW background. As an explicit realization, the spectator field may be identified with the Higgs field in a supersymmetric Standard Model. More generally, our framework applies to a wide class of spectator-modulated phenomena, providing a generic mechanism for producing anisotropic GW signals.
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References
How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 29 sentences without a confident label
Uses the method or tool of 4 papers
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We match our $(ℓ,f)$ to the spherical harmonic coefficients $Ω_GW, ℓ^m$ of the directional GW spectrum [equation] on the celestial sphere [ref] .
Probing Anisotropies of the Stochastic Gravitational Wave Background with LISA · Sensitivities for GW Anisotropy · 0.92
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We match our $(ℓ,f)$ to the spherical harmonic coefficients $Ω_GW, ℓ^m$ of the directional GW spectrum [equation] on the celestial sphere [ref] .
Unraveling Cosmological Anisotropies within Stochastic Gravitational Wave Backgrounds · Sensitivities for GW Anisotropy · 0.92
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The curvature perturbations can be computed using the $δN$ formalism [ref] .
A new approach to the evolution of cosmological perturbations on large scales · Cosmic Strings · 0.99
Uses data or values from 6 papers
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Using the Planck constraint at $k_low = 0.002^-1$ in which $Δ^2_NDI(k_low) ≲7.4%Δ_ζ^2 ≲1.6×10^-10$, we find that [equation] However, if we take the NANOGrav constraint on stable cosmic strings $G μ≲10^-9.5$ [ref] , then we conclude that $Ω_GW/Ω_rad ≲6.4×10^-7$.
The NANOGrav 15-year Data Set: Search for Signals from New Physics · Cosmic Strings · 0.96
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Recasting the Planck constraint $f_NL^a,aa ≲5.1$ [ref] , we find that the anistropic GW signal must be smaller than [equation]
Planck 2018 results. IX. Constraints on primordial non-Gaussianity · Domain Walls · 0.97
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This is because the gravitational wave emission rate is $∼τ/^2$ in which $τ$ denotes the wall tension while the decay rate of the network is $∼H_re$ (immediate collapse upon reentry) so that $ρ_GW ≈ϵτρ_DW/(8π^2 H_re)$ around walls' reentry $t_re$ in which the efficiency factor $ϵ≈0.7$ [ref] and $ρ_DW(t_re) = τH_re$.
On the estimation of gravitational wave spectrum from cosmic domain walls · Domain Walls · 0.92
Cites as support 2 papers
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This is because almost all the energy of the source of GWs, namely, cosmic strings, goes to GWs rather than other forms of radiation [ref] .
Radiation from cosmic string standing waves · Gravitational-Wave Anisotropy Signal · 0.98
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This is because almost all the energy of the source of GWs, namely, cosmic strings, goes to GWs rather than other forms of radiation [ref] .
On the evolution of abelian-Higgs string networks · Gravitational-Wave Anisotropy Signal · 0.98
Cites as background 25 papers
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Anisotropies in GWs sourced by scalar perturbations [ref] and by phase transitions [ref] have been studied previously.
Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered · Introduction · 0.97
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Anisotropies in GWs sourced by scalar perturbations [ref] and by phase transitions [ref] have been studied previously.
Non-Gaussian Stochastic Gravitational Waves from Phase Transitions · Introduction · 0.97
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Anisotropies in GWs sourced by scalar perturbations [ref] and by phase transitions [ref] have been studied previously.
Complete analysis of the background and anisotropies of scalar-induced gravitational waves: primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ considered · Introduction · 0.97
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