Hidden Conformal Symmetry and Emergent Holographic Structure in the AdS Teo Rotating Wormhole
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910023016251392 |
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| author | Radhakrishnan, Ramesh Cleaver, Gerald B. Julius, William |
| author_facet | Radhakrishnan, Ramesh Cleaver, Gerald B. Julius, William |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13923 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hidden Conformal Symmetry and Emergent Holographic Structure in the AdS Teo Rotating Wormhole Radhakrishnan, Ramesh Cleaver, Gerald B. Julius, William General Relativity and Quantum Cosmology 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. |
| title | Hidden Conformal Symmetry and Emergent Holographic Structure in the AdS Teo Rotating Wormhole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2602.13923 |