Cross-Correlations of Metric and Monopole Perturbations from Holographic Cosmology
Abstract
In this paper, we present the 1-loop calculation of the three-point function ⟨ TJJ ⟩ of the stress-energy tensor and two insertions of SO(3) global currents, using a 3d toy model for holographic cosmology. By applying the holographic dictionary that relates these QFT n-point functions to cosmological correlators, together with the Sl(2,ℤ) duality that maps the electric Noether current to a magnetic vortex current dual to cosmological magnetic monopoles, we relate the ⟨ TJJ ⟩ correlator to the cross-correlations between metric perturbations and the bulk magnetic monopole field, specifically mapping to the non-Gaussianities ⟨ ξà à ⟩ and ⟨ γà à ⟩. We calculate the semi-local contact terms necessary to achieve the exact factorization of the cosmological correlators in the squeezed limit, p1 → 0. Finally, we evaluate the effective non-linear parameters, showing that the scalar-monopole cross-correlation vanishes at leading order, fNLξà à = 0, while the tensor-monopole cross-correlation yields a non-zero fNLγÃÃ. These results respect the expected amplitude hierarchy of the non-Gaussian correlators, while pointing at new directions in which holographic cosmology can be tested experimentally.
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BibTeX
@misc{cravo2026crosscorrelations,
title = {{Cross-Correlations of Metric and Monopole Perturbations from Holographic Cosmology}},
author = {Matheus Cravo and Juliana Z. Finotti and Horatiu Nastase},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.24989},
eprint = {2607.24989},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.24989},
}
RIS
TY - UNPB
TI - Cross-Correlations of Metric and Monopole Perturbations from Holographic Cosmology
AU - Matheus Cravo
AU - Juliana Z. Finotti
AU - Horatiu Nastase
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2607.24989
UR - https://arxiv.org/abs/2607.24989
AB - In this paper, we present the 1-loop calculation of the three-point function ⟨ TJJ ⟩ of the stress-energy tensor and two insertions of SO(3) global currents, using a 3d toy model for holographic cosmology. By applying the holographic dictionary that relates these QFT n-point functions to cosmological correlators, together with the Sl(2,ℤ) duality that maps the electric Noether current to a magnetic vortex current dual to cosmological magnetic monopoles, we relate the ⟨ TJJ ⟩ correlator to the cross-correlations between metric perturbations and the bulk magnetic monopole field, specifically mapping to the non-Gaussianities ⟨ ξà à ⟩ and ⟨ γà à ⟩. We calculate the semi-local contact terms necessary to achieve the exact factorization of the cosmological correlators in the squeezed limit, p_1 → 0. Finally, we evaluate the effective non-linear parameters, showing that the scalar-monopole cross-correlation vanishes at leading order, f_NL^ξà à = 0, while the tensor-monopole cross-correlation yields a non-zero f_NL^γÃÃ. These results respect the expected amplitude hierarchy of the non-Gaussian correlators, while pointing at new directions in which holographic cosmology can be tested experimentally.
ER -