On rational \(R\)-matrices with adjoint \(\mathrm{SU}(n)\) symmetry (Q2834803)
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scientific article; zbMATH DE number 6655767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On rational \(R\)-matrices with adjoint \(\mathrm{SU}(n)\) symmetry |
scientific article; zbMATH DE number 6655767 |
Statements
24 November 2016
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\(R\)-matrices
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integrable spin chains
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\(\mathrm{SU}(n)\)
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On rational \(R\)-matrices with adjoint \(\mathrm{SU}(n)\) symmetry (English)
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Using the representation theory of Yangians [\textit{V. Chari} and \textit{A. Pressley}, Enseign. Math. (2) 36, No. 3--4, 267--302 (1990; Zbl 0726.17013); J. Reine Angew. Math. 417, 87--128 (1991; Zbl 0726.17014)], the authors construct the rational \(R\)-matrix which takes values in the adjoint representation of \(\mathrm{SU}(n)\) and derive an integrable \(\mathrm{SU}(n)\) spin chain with lattice spins transforming under the adjoint representation. It is shown that the resulting Hamiltonian is non-Hermitian.
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