Stokes graphs of AdS black holes

Interactive Stokes graphs accompanying Expiscating the black hole singularity in holography. Explore the general-momentum and core regimes of planar and global Schwarzschild–AdS black holes and planar Reissner–Nordström–AdS₅.

Coordinates, frequency conventions and turning-point labels follow the manuscript. Parameters are stated for each example.

General momentum Stokes graphs and continuation route

General momentum

Planar and global Schwarzschild–AdS in d = 4, 6, and planar Reissner–Nordström–AdS₅. Compare ζ = 0.35, 0.65, 0.96 at three frequency phases.

Primary turning points: tags j₀, j₁, …. The roots stay fixed as the frequency phase changes.

Explore 45 graphs → · 15-page print atlas

General momentum — 15 pages · Neutral core — two pages

One notation, two root families

Primary roots r_j and core roots b_i

The tags j₀, j₁, … identify primary WKB turning points; b₀, b₁, … identify the core roots. Neutral and RN root conventions are given in the notation guide. A separate boundary turning point appears in the finite-frequency core graphs. Coordinates and turning points →