Black hole collapse in the \(1/c\) expansion. (English) Zbl 1390.83170
Summary: We present a first-principles CFT calculation corresponding to the spherical collapse of a shell of matter in three dimensional quantum gravity. In field theory terms, we describe the equilibration process, from early times to thermalization, of a CFT following a sudden injection of energy at time \(t = 0\). By formulating a continuum version of Zamolodchikov’s monodromy method to calculate conformal blocks at large central charge \(c\), we give a framework to compute a general class of probe observables in the collapse state, incorporating the full backreaction of matter fields on the dual geometry. This is illustrated by calculating a scalar field two-point function at time-like separation and the time-dependent entanglement entropy of an interval, both showing thermalization at late times. The results are in perfect agreement with previous gravity calculations in the \(\mathrm{AdS}_{3}\)-Vaidya geometry. Information loss appears in the CFT as an explicit violation of unitarity in the \(1/c\) expansion, restored by nonperturbative corrections.
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