Correction to the tunneling radiation of arbitrary spin fermions in Kerr Anti-de Sitter black hole

According to the dispersion relation that stems from the string theory and the quantum gravitational theory, we study the dynamic equation of fermions, that is Rarita- Schwinger equation. Based on the Lorentz dispersion relation modified in the high-energy case, the dynamic equation of arbitrary spin fermions is accurately corrected in the Kerr Anti-de Sitter black hole, then the action of fermions with arbitrary spin is computed. To do so, we obtain the new expressions for tunneling rate, Hawking temperature and entropy of the black hole. At last, some comments are made on the results of our work.