A Note on Entanglement Entropy for Primary Fermion Fields in JT Gravity

In this paper we analyse and discuss 2D Jackiw-Teitelboim (JT) gravity coupled to primary fermion fields in asymptotically anti-de Sitter (AdS) spacetimes. We get a particular solution of the massless Dirac field outside extremal black hole horizon find for dilaton JT gravity. Two dimensional spacetime is conformally flat, calculate two point correlators under Weyl transformations. The key work present standard technique which called resolvent rather than CFT methods. redefine terms conformal factor as fields, use derive renormalized entanglement entropy