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Flag Integrable Models and Generalized Graded Algebras

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arxiv 2210.06495 v2 pith:YVT7KVYC submitted 2022-10-12 hep-th math-phmath.MP

Marius de Leeuw , Rafael I. Nepomechie , Ana L. Retore This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords modelsflaggeneralizedgradedintegrablealgebraalgebrasbethe-ansatz
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We introduce new classes of integrable models that exhibit a structure similar to that of flag vector spaces. We present their Hamiltonians, R-matrices and Bethe-ansatz solutions. These models have a new type of generalized graded algebra symmetry.

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  1. Weak ergodicity breaking with isolated integrable sectors

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

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