Barrow holographic dark energy model with different infrared cutoffs in dynamical Chern–Simons modified gravity

Barrow Holographic Dark Energy (BHDE), that modifies the standard holographic dark energy framework by incorporating quantum-gravity-induced deformation through a Barrow entropy measure, demonstrated in [E. N. Saridakis, Barrow holographic dark energy, Phys. Rev. D 102(12) (2020) 123525], is investigated and studied in the framework of the Chern–Simons modified gravity framework. We bring into focus the BHDE with two different IR cutoffs. The BHDE density is reconstructed in the Chern–Simons modified gravity framework and accordingly the equation of state parameter is reconstructed and studied for different ranges of [Formula: see text], which is the deformation parameter indicating the amount of the quantum gravitational deformation effects to the horizon structure associated with BHDE. The relevant expressions of the Hubble parameter [Formula: see text] and reconstructed BHDE density are also studied. Finally, the four energy conditions are analyzed for the reconstruction models.