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In the last decade a number of experimental and theoretical discoveries have caused a notable revival of interest in systems with large local Hilbert spaces which realize a variety of intriguing and largely unexplored phenomena such as non-Fermi-liquid behavior, exotic quantum criticality, orbitally selective Mott physics, multipolar/hidden orders and more. While many models have been proposed for each of these phenomena, a single framework to understand the systems with multiple degrees of freedom and, consequently, richer order parameters and richer quasiparticles, is missing.
