Anyonic Excitations in Warped and Curved AdS Backgrounds

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.