Layered Kitaev-Ising spin-orbital models map to N-flavor Hubbard models with emergent SU(N) symmetry; mean-field for N=3 yields intertwined orders and spin fragmentation with liquid orbitals.
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Quadratic-band-touching Hamiltonians in 2D possess USp(2N) symmetry; respecting interactions are limited to two terms that either preserve the symmetry or break it to USp(N) x USp(N), while lattice versions reduce to U(N) symmetry.
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Fractionalization, emergent SU($N$) symmetries, and fragmentation in layered quantum spin-orbital models
Layered Kitaev-Ising spin-orbital models map to N-flavor Hubbard models with emergent SU(N) symmetry; mean-field for N=3 yields intertwined orders and spin fragmentation with liquid orbitals.
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Symplectic symmetry of quadratic-band-touching Hamiltonians in two dimensions
Quadratic-band-touching Hamiltonians in 2D possess USp(2N) symmetry; respecting interactions are limited to two terms that either preserve the symmetry or break it to USp(N) x USp(N), while lattice versions reduce to U(N) symmetry.