Topological States in Strongly Correlated Systems

Topological order in strongly correlated systems, including quantum spin liquids, quantum Hall states in lattices and topological superconductivity, is treated. Various metallic non-Fermi-liquid states are discussed, including fractionalized Fermi-liquid (FL∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^*$$\end{document}) and phase string theories. Classification of topological states and differences between quantum and classical topology is considered.