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

Anastasia Doikou, Rafael I. Nepomechie

Research output: Contribution to journalArticle

34 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 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.

Original languageEnglish (US)
Pages (from-to)641-664
Number of pages24
JournalNuclear Physics B
Volume530
Issue number3
DOIs
StatePublished - 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

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