Conformal Bootstrap Analysis for Localization: Symplectic Case

Abstract: The localization phenomena due to the random potential scattering is widely discussed in the electron and photon systems, where the theoretical approach is the nonlinear $\sigma$ model with the replica method or with the supersymmetry. In this article, we discuss the application of the conformal bootstrap method to the localization by the small determinants. The possible correspondence to the symplectic Anderson localization is discussed.