# Entanglement entropy and the colored Jones polynomial

@article{Balasubramanian2018EntanglementEA, title={Entanglement entropy and the colored Jones polynomial}, author={Vijay Balasubramanian and Matthew P. DeCross and Jackson R. Fliss and Arjun Kar and Robert G. Leigh and Onkar Parrikar}, journal={Journal of High Energy Physics}, year={2018}, volume={2018}, pages={1-41} }

A bstractWe study the multi-party entanglement structure of states in Chern-Simons theory created by performing the path integral on 3-manifolds with linked torus boundaries, called link complements. For gauge group SU(2), the wavefunctions of these states (in a particular basis) are the colored Jones polynomials of the corresponding links. We first review the case of U(1) Chern-Simons theory where these are stabilizer states, a fact we use to re-derive an explicit formula for the entanglement… Expand

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