Cosmological constraints on interacting holographic dark energy and extended Chaplygin gas in higher dimensions using MCMC analysis

In this work, we discuss the progression of logarithmic corrected interacting holographic dark energy in higher dimension. We calculate the equation of state parameter with scale factor defined by power law and found that it transits universe from quintessence [Formula: see text] to phantom [Formula: see text] era. Further we define correspondence between entropy corrected holographic dark energy (ECHDE) and extended Chaplygin gas to reconstruct the potential and dynamics of the scalar field in the presence of the ECHDE. To obtain the value of the EOS parameter we have considered scale factor defined by power law and interestingly the results thus obtained are consistent with the present observational findings. By using the Markov chain Monte Carlo (MCMC) method, we estimate the best fit values for the model parameters imposed from the combined datasets of Hubble + Pantheon data sets.