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Anyonic Excitations in Warped and Curved AdS Backgrounds
Tzu-Miao Chou·May 23, 2025
Physics
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Abstract
This work studies anyonic excitations in warped and curved AdS$_3$ backgrounds via Chern-Simons theory. By incorporating geometric deformations such as conical defects, it is shown that curvature modifies the fusion and braiding properties through corrections to modular data in SU($N$)$_k$ models. Analytical models and numerical simulations reveal how these deformations affect the topological structure and influence holographic duals, especially in relation to entanglement and quantum error correction.