The generalized uncertainty principle and the entropy of the Schwarzschild–anti-de Sitter black hole with a global monopole due to spin fields

Using the corrected state density in accordance with the generalized uncertainty principle, we investigate the quantum entropy of the Schwarzschild–anti-de Sitter black hole with a global monopole arising from fields with arbitrary spin $s\le2$. We show that the quantum entropy depends not only on the black hole characteristics but also on the spin of the field and the gravity correction factor. The existence of the energy scale of symmetry breaking decreases the total entropy. Moreover, we show that the contribution of the gravitational interactions to the entropy is very important and should not be neglected.