Work

Entropic Order Parameters for Categorical Symmetries in 2D-CFT

Year: 2024

Type: article

Abstract: In this work, we propose an information theoretic order parameter able to characterize the presence and breaking of categorical symmetries in (1+1)-d rational conformal field theories (RCFTs). Specifically, we compute the quantum relative entropy between the ground states of RCFTs representing the critical point of phase transitions between different symmetry-broken phases of theories with categorical symmetries, and their symmetrized versions. We find that, at leading order in the high temperature limit, this relative entropy only depends on the expectation values of the quantum dimensions of the topological operators implementing the categorical symmetry. This dependence suggests that our proposal can be used to characterize the different broken phases of (1+1)-d theories with categorical symmetries.

Source: Entropy

DOI: 10.3390/e26121064

Authors: Javier Molina-Vilaplana, Pablo Saura-Bastida, Germán Sierra

Institutions: Universidad Politécnica de Cartagena, Consejo Superior de Investigaciones Científicas, Instituto de Física Teórica, Universidad Autónoma de Madrid

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: Fundación Séneca, Ministerio de Ciencia, Innovación y Universidades, Ministerio de Ciencia e Innovación