New integrable lattice models from Fuss-Catalan algebras

P. Di Francesco

doi:10.1016/S0550-3213(98)00603-8

New integrable lattice models from Fuss-Catalan algebras

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

Abstract

We construct new hyperbolic solutions of the Yang-Baxter equation, using the Fuss-Catalan algebras, a set of multi-colored versions of the Temperley-Lieb algebra, recently introduced by Bisch and Jones. These lead to new two-dimensional integrable lattice models, describing dense gases of colored loops.

Original language	English (US)
Pages (from-to)	609-634
Number of pages	26
Journal	Nuclear Physics B
Volume	532
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(98)00603-8
State	Published - Nov 9 1998
Externally published	Yes

Keywords

Integrable models
Loop models
Yang-Baxter equation

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(98)00603-8

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title = "New integrable lattice models from Fuss-Catalan algebras",

abstract = "We construct new hyperbolic solutions of the Yang-Baxter equation, using the Fuss-Catalan algebras, a set of multi-colored versions of the Temperley-Lieb algebra, recently introduced by Bisch and Jones. These lead to new two-dimensional integrable lattice models, describing dense gases of colored loops.",

keywords = "Integrable models, Loop models, Yang-Baxter equation",

author = "{Di Francesco}, P.",

note = "Funding Information: We thank A. Ram for pointing out Ref. \[10\] to us, and P. Pearce for interesting discussions. This work was partly supported by the NSF grant PHY-9722060.",

year = "1998",

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doi = "10.1016/S0550-3213(98)00603-8",

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AU - Di Francesco, P.

N1 - Funding Information: We thank A. Ram for pointing out Ref. \[10\] to us, and P. Pearce for interesting discussions. This work was partly supported by the NSF grant PHY-9722060.

PY - 1998/11/9

Y1 - 1998/11/9

N2 - We construct new hyperbolic solutions of the Yang-Baxter equation, using the Fuss-Catalan algebras, a set of multi-colored versions of the Temperley-Lieb algebra, recently introduced by Bisch and Jones. These lead to new two-dimensional integrable lattice models, describing dense gases of colored loops.

AB - We construct new hyperbolic solutions of the Yang-Baxter equation, using the Fuss-Catalan algebras, a set of multi-colored versions of the Temperley-Lieb algebra, recently introduced by Bisch and Jones. These lead to new two-dimensional integrable lattice models, describing dense gases of colored loops.

KW - Integrable models

KW - Loop models

KW - Yang-Baxter equation

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JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

New integrable lattice models from Fuss-Catalan algebras

Abstract

Keywords

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