Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity

TL;DR

This paper studies finite cutoff JT gravity, analyzing black hole interior growth, baby universe emission, and matrix duality, revealing how deformations affect spectral properties, ERB length, and complexity measures.

Contribution

It introduces a finite cutoff deformation in JT gravity and explores its effects on black hole interior growth, baby universes, and matrix model dualities.

Findings

ERB length saturates faster than in pure JT gravity

Baby universe emission probability is altered by the deformation

Saturation time depends on inverse temperature

Abstract

In this paper, as an application of the `Complexity = Volume' proposal, we calculate the growth of the interior of a black hole at late times for finite cutoff JT gravity. Due to this integrable, irrelevant deformation, the spectral properties are modified non-trivially. The Einstein-Rosen Bridge (ERB) length saturates faster than pure JT gravity. We comment on the possible connection between Krylov Complexity and ERB length for the deformed theory. Apart from this, we compute the emission probability of baby universes in the deformed theory and find that it changes due to the deformation parameter only if we turn on Lorentzian evolution. We also find that the saturation time of the deformed theory relative to the undeformed one depends on the inverse temperature. We also highlight the subtleties involved in the dual matrix model and comment on the possible one-cut universality. Finally, we comment on the possible correction to the volume of the moduli space arising from the non-perturbative correction of the spectral curve induced by the finite boundary cutoff.