Entanglement entropy from SU(2) Chern-Simons theory and symmetric webs
High Energy Physics - Theory
2017-07-13 v1 Strongly Correlated Electrons
Geometric Topology
Quantum Physics
Abstract
A path integral on a link complement of a three-sphere fixes a vector (the "link state") in Chern-Simons theory. The link state can be written in a certain basis with the colored link invariants as its coefficients. We use symmetric webs to systematically compute the colored link invariants, by which we can write down the multi-partite entangled state of any given link. It is still unknown if a product state necessarily implies that the corresponding components are unlinked, and we leave it as a conjecture.
Keywords
Cite
@article{arxiv.1707.03525,
title = {Entanglement entropy from SU(2) Chern-Simons theory and symmetric webs},
author = {Sungbong Chun and Ning Bao},
journal= {arXiv preprint arXiv:1707.03525},
year = {2017}
}