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

Anastasia Doikou, Rafael I. Nepomechie

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

36 Citations (Scopus)

Abstract

We show that the transfer matrix of the A_{N-1}^(1) open spin chain with diagonal boundary fields has the symmetry U_q (SU(L)) x U_q (SU(N-L)) x U(1), as well as a ``duality'' symmetry which interchanges L and N - L. We exploit these symmetries to compute exact boundary S matrices in the regime with q real.

Original language	English
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
Publication status	Published - 19 Oct 1998

Keywords

hep-th
nlin.SI
solv-int

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10.1016/S0550-3213(98)00567-7

Cite this

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title = "Duality and quantum-algebra symmetry of the AN-1(1) open spin chain with diagonal boundary fields",

abstract = "We show that the transfer matrix of the A\_\{N-1\}\textasciicircum{}(1) open spin chain with diagonal boundary fields has the symmetry U\_q (SU(L)) x U\_q (SU(N-L)) x U(1), as well as a ``duality'' symmetry which interchanges L and N - L. We exploit these symmetries to compute exact boundary S matrices in the regime with q real.",

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author = "Anastasia Doikou and \{I. Nepomechie\}, Rafael",

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AU - Doikou, Anastasia

AU - I. Nepomechie, Rafael

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PY - 1998/10/19

Y1 - 1998/10/19

N2 - We show that the transfer matrix of the A_{N-1}^(1) open spin chain with diagonal boundary fields has the symmetry U_q (SU(L)) x U_q (SU(N-L)) x U(1), as well as a ``duality'' symmetry which interchanges L and 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_{N-1}^(1) open spin chain with diagonal boundary fields has the symmetry U_q (SU(L)) x U_q (SU(N-L)) x U(1), as well as a ``duality'' symmetry which interchanges L and N - L. We exploit these symmetries to compute exact boundary S matrices in the regime with q real.

KW - hep-th

KW - nlin.SI

KW - solv-int

U2 - 10.1016/S0550-3213(98)00567-7

DO - 10.1016/S0550-3213(98)00567-7

M3 - Article

SN - 0550-3213

VL - 530

SP - 641

EP - 664

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

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

Abstract

Keywords

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