4 problems
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Mutual commutativity conjecture for XYZ-chain transfer matrices and conserved quantities
Transfer-matrix commutativity conjecture. The transfer matrices are mutually commuting and commute with all these local conserved quantities:
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Commutativity conjecture for the XYZ-chain transfer matrices
Transfer-matrix commutativity conjecture. Transfer matrices with different spectral parameters mutually commute:
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Bound-pair conjecture for remaining eigenstates of the periodic XYZ chain
Let with , and let be Bethe roots in the BAE for the periodic XYZ chain. Let denote the elliptic function appearing in those equations, and…
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Bound-pair conjecture for missing eigenstates of the periodic XYZ chain
Let be the even length of the periodic XYZ chain, and let the chiral basis be the basis constructed in the paper. The Bethe ansatz equations (BAE) determine eigenstates, whi…