Categories of quantum liquids II

Fuente: arXiv
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Main Authors: Kong, Liang, Zheng, Hao
Format: Preprint
Published: 2021
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author Kong, Liang
Zheng, Hao
author_facet Kong, Liang
Zheng, Hao
contents 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 $\ge3$.
format Preprint
id arxiv_https___arxiv_org_abs_2107_03858
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Categories of quantum liquids II
Kong, Liang
Zheng, Hao
Category Theory
Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Algebra
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 $\ge3$.
title Categories of quantum liquids II
topic Category Theory
Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Algebra
url https://arxiv.org/abs/2107.03858