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We investigate cosmological constraints on the holographic dark energy (HDE) using the state-of-the-art cosmological datasets: Planck CMB angular power spectra and weak lensing power spectra, Atacama Cosmology Telescope (ACT) temperature power spectra, baryon acoustic oscillation (BAO) and redshift-space distortion (RSD) measurements from six-degree-field galaxy survey and Sloan Digital Sky Survey (DR12 & DR16) and the Cepheids-Supernovae measurement from SH0ES team (R22).
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Note3, notice that perturbation of HDE itself and its interactions are considered in [ 89 ] , and Chunshan Lin (2021) [ 88 ] introduced a covariant local field theory for the HDE model, providing a method to study its perturbations
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