Large-party limit of topological entanglement entropy in Chern-Simons theory

• URL: http://arxiv.org/abs/2601.00406v1
• Date: Thu, 01 Jan 2026 17:42:11 GMT
• Title: Large-party limit of topological entanglement entropy in Chern-Simons theory
• Authors: Simran Sain, Siddharth Dwivedi,
• Abstract summary: We focus on the quantum states associated with the $T_dm,dn$ torus link complements.<n>We show that the entanglement measures in this limit will receive contributions only from the Abelian anyons.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the topological entanglement entropy of quantum states arising in the context of three-dimensional Chern-Simons theory with compact gauge group $G$ and Chern-Simons level $k$. We focus on the quantum states associated with the $T_{dm,dn}$ torus link complements, which is a $d$-party pure quantum state, and analyze its large-party limit, i.e., $d\to \infty$ limit. We show that the entanglement measures in this limit will receive contributions only from the Abelian anyons, and non-Abelian sectors are suppressed in the large-party limit. Consequently, the large-party limiting value of the entanglement entropy has an upper bound of $\ln |Z_G|$, where $|Z_G|$ is the order of the center of the group $G$. As an explicit example, we perform quantitative analysis for the simplest case of the SU(2) group and $T_{d,dn}$ torus link to obtain the large-party limit of the entanglement entropy. We further investigate the semiclassical ($k \to \infty$) limit of the entropies after taking the large-party limit for this particular example.

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