Covariant Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{A}\mathrm{d}{\mathrm{S}}_3\mathrm{/}\mathrm{C}\mathrm{F}{\mathrm{T}}_2$

We propose a covariant holographic entanglement negativity constructionfor time-dependent mixed states of adjacent intervals in $(1+1)$-dimensional conformal field theories dual to non-static bulk $\mathrm{A}\mathrm{d}{\mathrm{S}}_3$ configurations. Our construction applied to $(1+1)$-dimensional conformal field theories with a conserved charge dual to non-extremal and extremal rotating BTZ black holes exactly reproduces the corresponding replica technique results, in the large central charge limit. We also utilize our conjecture to obtain the time-dependent holographic entanglement negativity for the mixed state in question for the $(1+1)$- dimensional CFT dual to a bulk Vaidya-$\mathrm{A}\mathrm{d}{\mathrm{S}}_3$ configuration.