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arXiv · 2504.10098

Analyzing reduced density matrices in SU(2) Chern-Simons theory

Atesh Saini·Siddharth Dwivedi
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Abstract

We investigate the reduced density matrices obtained for the quantum states in the context of 3d Chern-Simons theory with gauge group SU(2) and Chern-Simons level $k$. We focus on the quantum states associated with the $T_{p,p}$ torus link complements, which is a $p$-party pure quantum state. The reduced density matrices are obtained by taking the $(1|p-1)$ bi-partition of the total system. We show that the characteristic polynomials of these reduced density matrices are monic polynomials with rational coefficients.

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Atesh Saini, Siddharth Dwivedi. 2025-04-14. Analyzing reduced density matrices in SU(2) Chern-Simons theory. https://doi.org/10.2991/978-94-6463-789-2_6

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