Granovskii-Zhedanov scar states in XYZ models are described via spectrum-generating algebra with perturbative and optimized constructions, and lattice-independent versions exist only on specific uniform and non-uniform higher-dimensional lattices.
However, this is not the only possible set of operators that defines the generalized SGA
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Granovskii-Zhedanov Scars of XYZ Models: Modern Algebraic Perspectives and Realization in Higher Dimensional Lattices
Granovskii-Zhedanov scar states in XYZ models are described via spectrum-generating algebra with perturbative and optimized constructions, and lattice-independent versions exist only on specific uniform and non-uniform higher-dimensional lattices.