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Vertex models and spin chains in formulas and pictures | | Kh. S. Nirov
; A. V. Razumov
; | | Date: |
23 Nov 2018 | | Abstract: | We systematise and develop the graphical approach to the investigation of
quantum integrable vertex statistical models and the corresponding quantum spin
chains. The graphical forms of the unitarity and various crossing relations are
introduced. Their explicit analytical forms for the case of integrable systems
associated with the quantum loop algebra $mathrm U_q(mathcal
L(mathfrak{sl}_{l + 1}))$ are given. The commutativity conditions for the
transfer operators of lattices with a boundary are derived by the graphical
method. Our consideration reveals useful advantages of the graphical approach
for certain problems in the theory of quantum integrable systems. | | Source: | arXiv, 1811.9401 | | Services: | Forum | Review | PDF | Favorites | |
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