Duality and quantum-algebra symmetry of the A(1)N - 1 open spin chain with diagonal boundary fields

Anastasia Doikou; Rafael I. Nepomechie

doi:10.1016/S0550-3213(98)00567-7

Duality and quantum-algebra symmetry of the A⁽¹⁾_{N - 1} open spin chain with diagonal boundary fields

Anastasia Doikou, Rafael I. Nepomechie

Physics

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

We show that the transfer matrix of the A^{(1)N - 1} open spin chain with diagonal boundary fields has the symmetry U_q(SU(l)) × U_q(SU(N - l)) × U(1), as well as a "duality" symmetry which maps l ↔ N - l. We exploit these symmetries to compute exact boundary S-matrices in the regime with q real.

Original language	English (US)
Pages (from-to)	641-664
Number of pages	24
Journal	Nuclear Physics B
Volume	530
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(98)00567-7
State	Published - Oct 19 1998

Keywords

Bethe ansatz
Boundary S-matrix
Boundary Yang-Baxter equation
Duality
Integrable spin chain
Quantum group

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/S0550-3213(98)00567-7

Cite this

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abstract = "We show that the transfer matrix of the A(1)N - 1 open spin chain with diagonal boundary fields has the symmetry Uq(SU(l)) × Uq(SU(N - l)) × U(1), as well as a {"}duality{"} symmetry which maps l ↔ N - l. We exploit these symmetries to compute exact boundary S-matrices in the regime with q real.",

keywords = "Bethe ansatz, Boundary S-matrix, Boundary Yang-Baxter equation, Duality, Integrable spin chain, Quantum group",

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AU - Nepomechie, Rafael I.

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N2 - We show that the transfer matrix of the A(1)N - 1 open spin chain with diagonal boundary fields has the symmetry Uq(SU(l)) × Uq(SU(N - l)) × U(1), as well as a "duality" symmetry which maps l ↔ N - l. We exploit these symmetries to compute exact boundary S-matrices in the regime with q real.

AB - We show that the transfer matrix of the A(1)N - 1 open spin chain with diagonal boundary fields has the symmetry Uq(SU(l)) × Uq(SU(N - l)) × U(1), as well as a "duality" symmetry which maps l ↔ N - l. We exploit these symmetries to compute exact boundary S-matrices in the regime with q real.

KW - Bethe ansatz

KW - Boundary S-matrix

KW - Boundary Yang-Baxter equation

KW - Duality

KW - Integrable spin chain

KW - Quantum group

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