Thermodynamics and weak cosmic censorship conjecture of the high dimensional hairy AdS spacetime

In order to further verify the weak cosmic censorship conjecture in highdimensional hairy space-time, we discuss the thermodynamics and the weak cosmic censorship conjecture from a five-dimensional hairy AdS black hole. With the absorption fermions by hairy AdS black holes, the energy-momentum relationship at the horizon is obtained via Dirac equations. Based on this energy-momentum relationship, we derive entropy variation and the change of the function that determines the minimum value of the event horizon. It turns out the first and second laws of black hole thermodynamics and the weak cosmic censorship conjecture are valid in high-dimensional hairy space-time.