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3-point function of currents for holographic cosmology and monopole non-Gaussianities
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3-point function of currents for holographic cosmology and monopole non-Gaussianities
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In this paper we present the calculation of the three-point function in momentum space of currents for a $SO(3)$ global symmetry, in a three-dimensional toy model within phenomenological holographic cosmology. Since the two-point function gives, via electric-magnetic duality, the resolution of the cosmological monopole problem, the three-point function is related to the monopole non-Gaussianities. We check that the final result is UV and IR finite and satisfies the transverse Ward identities and consider the $k_1\ll k_2,k_3$ case, relevant for cosmology. We also show that the two-loop result for the 3-point function is completely independent of the explicit form of the potential, meaning that, like the solution to the monopole problem, also the non-Gaussianities are universal within the phenomenological holographic cosmology.
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Cited by 1 Pith paper
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Cross-Correlations of Metric and Monopole Perturbations from Holographic Cosmology
At 1-loop in holographic cosmology, f_NL^{ξÃÃ}=0 while the angle-averaged f_NL^{γÃÃ}=6, from a full ⟨TJJ⟩ computation including contact terms.
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