This paper is devoted to study some holographic dark energy models in the context of Chern-Simon modified gravity by considering FRW universe. We analyze the equation of state parameter using Granda and Oliveros infrared cut-off proposal which describes the accelerated expansion of the universe under the restrictions on the parameter $\alpha$. It is shown that for the accelerated expansion phase $ -1<\omega_{ \Lambda}<-\frac{ 1}{ 3}$, the parameter $\alpha$ varies according as $1<\alpha<\frac{ 3}{ 2}$. Furthermore, for $0<\alpha<1$, the holographic energy and pressure density illustrates phantom-like theory of the evolution when $\omega_{ \Lambda}<-1$. Also, we discuss the correspondence between the quintessence, K-essence, tachyon and dilaton field models and holographic dark energy models on similar fashion. To discuss the accelerated expansion of the universe, we explore the potential and the dynamics of quintessence, K-essence, tachyon and dilaton field models.
Categories: gr-qc