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The light cone OPE limit provides a significant amount of informationregarding the conformal field theory (CFT), like the high-low temperature limitof the partition function. We started with the light cone bootstrap in the {\itgeneral} CFT ${}_2$ with $c>1$. For this purpose, we needed an explicitasymptotic form of the Virasoro conformal blocks in the limit $z \to 1$, whichwas unknown until now. In this study, we computed it in general by studying thepole structure of the {\it fusion matrix} (or the crossing kernel). Applyingthis result to the light cone bootstrap, we obtained the universal total twist(or equivalently, the universal binding energy) of two particles at a largeangular momentum. In particular, we found that the total twist is saturated bythe value $\frac{c-1}{12}$ if the total Liouville momentum exceeds beyond the{\it BTZ threshold}. This might be interpreted as a black hole formation inAdS${}_3$. As another application of our light cone singularity, we studied thedynamics of entanglement after a global quench and found a Renyi phasetransition as the replica number was varied. We also investigated the dynamicsof the 2nd Renyi entropy after a local quench. We also provide a universal formof the Regge limit of the Virasoro conformal blocks from the analysis of thelight cone singularity. This Regge limit is related to the general $n$-th Renyientropy after a local quench and out of time ordered correlators.

Light Cone Bootstrap in General 2D CFTs and Entanglement from Light Cone Singularity