Categories of quantum liquids II
Category Theory
2024-08-27 v3 Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Algebra
Abstract
We continue to develop the theory of separable higher categories, including center functors, higher centralizers, modular extensions and group theoretical higher fusion categories. Moreover, we outline a theory of orthogonal higher categories to treat anti-unitary symmetries. Using these results we derive a systematic classification of gapped quantum liquids and predict many new SPT orders in spacetime dimension .
Keywords
Cite
@article{arxiv.2107.03858,
title = {Categories of quantum liquids II},
author = {Liang Kong and Hao Zheng},
journal= {arXiv preprint arXiv:2107.03858},
year = {2024}
}
Comments
35 pages. Final version