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Edge theory approach to topological entanglement entropy, mutual information, and entanglement negativity in Chern-Simons theories

Edge theory approach to topological entanglement entropy, mutual information, and entanglement negativity in Chern-Simons theories

We develop an approach based on edge theories to calculate the entanglement entropy and related quantities in (2+1)-dimensional topologically ordered phases. Our approach is complementary to, e.g., the existing methods using replica trick and Witten's method of surgery, and applies to a generic spatial manifold of genus $g$, which can …