Criticality of QCD in a holographic QCD model with critical end point

Thermodynamics of strongly interacting matter near critical end point are investigated in a holographic QCD model, which could describe the QCD phase diagram in $T-\mu$ plane qualitatively. Critical exponents along different axis ($\alpha ,\beta ,\gamma ,\delta$) are extracted numerically. It is given that $\alpha \approx 0,\beta \approx 0.54,\gamma \approx 1.04,\delta \approx 3.0$, the same as 3D Ising mean-field approximation and previous holographic QCD model calculations. We also discuss the possibilities to go beyond mean field approximation by including the full back-reaction of chiral dynamics in the holographic framework.