Galois conjugates of String-net Model
Abstract
We revisit a class of non-Hermitian topological models that are Galois conjugates of their Hermitian counter parts. Particularly, these are Galois conjugates of unitary string-net models. We demonstrate these models necessarily have real spectra, and that topological numbers are recovered as matrix elements of operators evaluated in appropriate bi-orthogonal basis, that we conveniently reformulate as a concomitant Hilbert space here. We also compute in the bi-orthogonal basis thetopological entanglement entropy, demonstrating that its real part is related to the quantum dimension of the topological order. While we focus mostly on the Yang-Lee model, the results in the paper apply generally to Galois conjugates.
Cite
@article{arxiv.2108.05730,
title = {Galois conjugates of String-net Model},
author = {Chao-Yi Chen and Bing-Xin Lao and Xin-Yang Yu and Ling-Yan Hung},
journal= {arXiv preprint arXiv:2108.05730},
year = {2022}
}
Comments
10 pages, 2 figures, Chen and Lao are co-first authors of the manuscript