Categorical Landau Paradigm for Gapped Phases

Autor:	Bhardwaj, Lakshya, Bottini, Lea E., Pajer, Daniel, Schafer-Nameki, Sakura
Rok vydání:	2023
Předmět:	Condensed Matter - Strongly Correlated Electrons High Energy Physics - Theory Mathematics - Category Theory
Druh dokumentu:	Working Paper
Popis:	We propose a unified framework to classify gapped infra-red (IR) phases with categorical symmetries, leading to a generalized, categorical Landau paradigm. This is applicable in any dimension and gives a succinct, comprehensive, and computationally powerful approach to classifying gapped symmetric phases. The key tool is the symmetry topological field theory (SymTFT), which is a one dimension higher TFT with two boundaries, which we choose both to be topological. We illustrate the general idea for (1+1)d gapped phases with categorical symmetries and suggest higher-dimensional extensions. Comment: 4 pages + supplementary material
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.03786 Zobrazit plný text záznamu View this record from Arxiv