Hidden Conformal Symmetry and Emergent Holographic Structure in the AdS Teo Rotating Wormhole

TL;DR

This paper reveals a hidden conformal symmetry in the scalar perturbations of a rotating AdS Teo wormhole, linking it to holographic structures and spectral properties without horizons.

Contribution

It demonstrates emergent conformal symmetry in a horizonless rotating wormhole and explores its holographic implications and boundary correlators.

Findings

Radial Klein-Gordon equation exhibits conformal structure.

Constructed quasinormal modes and boundary two-point functions.

Established holographic interpretation of the wormhole geometry.

Abstract

We study scalar perturbations of the rotating Teo wormhole embedded in asymptotically Anti-de Sitter (AdS) spacetime and demonstrate that the radial Klein Gordon equation exhibits an emergent conformal structure. The smooth traversable throat induces a logarithmic tortoise coordinate that allows the radial equation to be recast as the quadratic Casimir eigenvalue equation, paralleling the hidden conformal symmetry of the rotating Kerr black hole but arising here in a horizonless geometry. The AdS-Teo spacetime possesses two disconnected timelike AdS conformal boundaries that remain causally connected through the wormhole throat, in contrast to the two-sided eternal AdS black hole where horizons play a central role. Using the emergent conformal symmetry, we construct the near-throat generators, derive the effective potential, and obtain a discrete quasinormal-mode spectrum determined by regularity at the throat and standard AdS boundary conditions at infinity. The AdS embedding further enables a minimal holographic interpretation. As an explicit illustration, we compute an equal-time two-point function in the large-Delta (geodesic) limit from a regulated spacelike geodesic that traverses the wormhole, showing how the bulk geometry couples the two asymptotic boundaries. Together, these results provide a unified description of hidden conformal structure, spectral properties, and boundary correlators in a rotating, horizonless asymptotically AdS wormhole.