Work

Categorical Landau Paradigm for Gapped Phases

Year: 2024

Type: article

Abstract: We propose a unified framework to classify gapped infrared 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, which is a one dimension higher topological field theory with two boundaries that we choose to be topological. We illustrate the general idea for (1+1)D gapped phases with categorical symmetries and suggest higher-dimensional extensions.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.133.161601

Authors: Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer, Sakura Schäfer-Nameki

Institution: University of Oxford

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750