Holographic Rényi relative divergence in JT gravity

A bstract We holographically compute the Rényi relative divergence D α ( ρ + ||ρ − ) between two density matrices , prepared by path integrals with constant background fields λ ± coupled to a marginal operator in JT gravity. Our calculation is non-perturbative difference sources . When this large, bulk geometry becomes black hole maximal temperature allowed index In limit, we find an analytical expression of divergence, which given on shell action back reacted plus contribution coming from discontinuous change field.