Study of Information Restoring Effects in Virasoro Blocks

TL;DR

This paper explores how non-perturbative corrections affect the spectrum of heavy states and the late-time behavior of correlators in Virasoro blocks, shedding light on information recovery in AdS$_3$/CFT$_2$ black hole physics.

Contribution

It analyzes universal features of the heavy state spectrum and the transition from exponential to power-law decay in Virasoro blocks beyond the Page time.

Findings

Non-perturbative $e^{-c}$ corrections resolve information loss.

Correlators transition from exponential decay to power-law decay at late times.

Universal features of the spectrum of heavy states are identified.

Abstract

It is well-known that in the large central charge $c$ limit, the Virasoro blocks in CFT$_2$ suffer from information loss when studying the BTZ black holes in the dual AdS$_3$ theory. Recent studies have proved that non-perturbative $e^{-c}$ corrections resolves information loss. Here, we study universal features of the spectrum of heavy states from general properties of finite $c$ Virasoro conformal blocks. Furthermore, we investigate the behavior of correlators beyond "Page" time $ t \sim S_{BH}$, entropy of the black hole. In the Lorentzian regime, we wish to better understand the transition from an exponential decay behaviour of Virasoro blocks in the heavy-light limit to a power-law decay at late times.