3d one-form mixed anomaly and entanglement entropy

• Published in: The journal of high energy physics Vol. 2019; no. 7; pp. 1 - 27
• Main Author: Zhou, Yang
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019; Springer Nature B.V; SpringerOpen
• Subjects: Anomalies in Field and String Theories; Chern-Simons Theories; Classical and Quantum Gravitation; Discrete Symmetries; Elementary Particles; Entropy; Field theory (physics); High energy physics; Hilbert space; Physics; Physics and Astronomy; Quantum entanglement; Quantum Field Theories; Quantum Field Theory; Quantum mechanics; Quantum Physics; Quantum theory; Regular Article - Theoretical Physics; Relativity Theory; Spacetime; String Theory; Symmetry; Topological States of Matter; Discrete Symmetries; Chern-Simons Theories; Topological States of Matter; Anomalies in Field and String Theories
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP07(2019)091

A bstract We study mixed anomaly between G 1 and G 2 of one-form finite symmetry G 1 × G 2 in 3 d Chern-Simons theories. We assign a quantum entanglement structure to two linked G -symmetry lines (Wilson loops) and compute the entanglement entropy S [ G ]. We find a measure of the mixed anomaly by computing S [ G 1 × G 2 ] − S [ G 1 ] − S [ G 2 ].