2025/02/18 by Arpan Bhattacharyya, Saptaswa Ghosh, Bhattacharyya, Arpan +5
Physics and Astronomy · Computer Science · Economics, Econometrics and Finance · #Cosmology and Gravitation Theories #Computational Physics and Python Applications #Complex Systems and Time Series Analysis
paper · pdf · doi:10.1093/ptep/ptag083
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 Jackiw–Teitelboim (JT) gravity. Due to this integrable irrelevant deformation, the spectral properties are modified nontrivially. The Einstein–Rosen bridge (ERB) length saturates faster than in 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 nonperturbative correction of the spectral curve induced by the finite boundary cutoff.