Multi-leg integrable ladder models

D. Arnaudon; A. Sedrakyan; Tigrans Sedrakyan

doi:10.1016/j.nuclphysb.2003.11.004

Multi-leg integrable ladder models

D. Arnaudon, A. Sedrakyan, Tigrans Sedrakyan

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

4 Scopus citations

Abstract

We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang-Baxter equations. This construction yields P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry and present algebraic Bethe ansatz (ABA) solution.

Original language	English (US)
Pages (from-to)	615-636
Number of pages	22
Journal	Nuclear Physics B
Volume	676
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2003.11.004
State	Published - Jan 12 2004
Externally published	Yes

Bibliographical note

Funding Information:
The authors A.S. and T.S. acknowledge the LAPTH for hospitality, where this work was carried out. T.S. acknowledge also SCOPE grant of SNF, Volkswagen foundation, INTAS grant 00561 and A.S. INTAS grant 00-390 for partial financial support.

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title = "Multi-leg integrable ladder models",

abstract = "We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang-Baxter equations. This construction yields P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry and present algebraic Bethe ansatz (ABA) solution.",

author = "D. Arnaudon and A. Sedrakyan and Tigrans Sedrakyan",

note = "Funding Information: The authors A.S. and T.S. acknowledge the LAPTH for hospitality, where this work was carried out. T.S. acknowledge also SCOPE grant of SNF, Volkswagen foundation, INTAS grant 00561 and A.S. INTAS grant 00-390 for partial financial support. ",

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doi = "10.1016/j.nuclphysb.2003.11.004",

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T1 - Multi-leg integrable ladder models

AU - Arnaudon, D.

AU - Sedrakyan, A.

AU - Sedrakyan, Tigrans

N1 - Funding Information: The authors A.S. and T.S. acknowledge the LAPTH for hospitality, where this work was carried out. T.S. acknowledge also SCOPE grant of SNF, Volkswagen foundation, INTAS grant 00561 and A.S. INTAS grant 00-390 for partial financial support.

PY - 2004/1/12

Y1 - 2004/1/12

N2 - We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang-Baxter equations. This construction yields P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry and present algebraic Bethe ansatz (ABA) solution.

AB - We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang-Baxter equations. This construction yields P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry and present algebraic Bethe ansatz (ABA) solution.

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U2 - 10.1016/j.nuclphysb.2003.11.004

DO - 10.1016/j.nuclphysb.2003.11.004

M3 - Article

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SN - 0550-3213

VL - 676

SP - 615

EP - 636

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Multi-leg integrable ladder models

Abstract

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