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Proof of completeness of the local conserved quantities in the one-dimensional Hubbard model

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arxiv 2309.09354 v3 pith:UGFICOAL submitted 2023-09-17 cond-mat.stat-mech math-phmath.MPnlin.SI

classification cond-mat.stat-mechmath-phmath.MPnlin.SI
keywords conservedlocalquantitieshubbardmodelone-dimensionalcompletenessconclude
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We rigorously prove that the local conserved quantities in the one-dimensional Hubbard model are uniquely determined for each locality up to the freedom to add lower-order ones. From this, we can conclude that the local conserved quantities are exhausted by those obtained from the expansion of the transfer matrix.

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