Abstract
We elaborate on the recent claim [1] that non-perturbative effects in α′, which are at the core of the FZZ duality, render the region just behind the horizon of the SL(2, ℝ)k/U(1) black hole singular already at the classical level (gs = 0). We argue that the 2D classical SL(2, ℝ)k/U(1) black hole could shed some light on quantum black holes in higher dimensions including large black holes in AdS5 × S5.
Highlights
The fact that the classical SL(2, R)k/U(1) BH seems to have structure at the horizon, suggests that this model captures some aspects of horizons of higher dimensional quantum BHs
We elaborate on the recent claim [1] that non-perturbative effects in α, which are at the core of the FZZ duality, render the region just behind the horizon of the SL(2, R)k/U(1) black hole singular already at the classical level
We argue that the 2D classical SL(2, R)k/U(1) black hole could shed some light on quantum black holes in higher dimensions including large black holes in AdS5 × S5
Summary
The fact that the classical SL(2, R)k/U(1) BH seems to have structure at the horizon, suggests that this model captures some aspects of horizons of higher dimensional quantum BHs. We point out a relationship between the BH singularity and the reflection coefficient of a wave that scatters on the BH at high energies. We find that the non-perturbative corrections in α push the singularity all the way to the horizon.
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