arXiv:cond-mat/0703630 · Nuclear Physics B

Integrable spin–boson models descending from rational six-vertex models

Luigi Amico A, Holger Frahm, Andreas Osterloh, G A P Ribeiro

Published Aug 1, 2007• 57 citations

arXiv HTML PDF

DOI: 10.1016/j.nuclphysb.2007.07.022

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arXiv:cond-mat/0703630 · Nuclear Physics B

Integrable spin–boson models descending from rational six-vertex models

Luigi Amico A, Holger Frahm, Andreas Osterloh, G A P Ribeiro

Published Aug 1, 2007• 57 citations

arXiv HTML PDF

DOI: 10.1016/j.nuclphysb.2007.07.022

Related papers

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Physics Letters BFeb 1, 19922 citations

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Nuclear Physics BJan 1, 198872 citations

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Jaco van Tonder

Nov 14, 20250 citations

Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of Unity

Helen Au-Yang, Jacques H. H. Perk

At roots of unity the $N$ -state integrable chiral Potts model and the six-vertex model descend from each other with the $τ_2$ model as the intermediate. We shall discuss how different gauge choices in the six-vertex model lead to two different quantum group constructions with different $q$ -Pochhammer symbols, one construction only working well for $N$ odd, the other equally well for all $N$ . We also address the generalization based on the sl $(m,n)$ vertex model.At roots of unity the $N$-state integrable chiral Potts model and the six-vertex model descend from each other with the $τ_2$ model as the intermediate. We shall discuss how different gauge choices in the six-vertex model lead to two different quantum group constructions with different $q$-Pochhammer symbols, one construction only working well for $N$ odd, the other equally well for all $N$. We also address the generalization based on the sl$(m,n)$ vertex model.

arXiv:1806.03359Jun 8, 20180 citations

Separation of variables for integrable spin–boson models

Luigi Amico A, Holger Frahm, Andreas Osterloh +1 more

arXiv:1005.5681Nuclear Physics BJul 14, 201065 citations

At roots of unity the

N

-state integrable chiral Potts model and the six-vertex model descend from each other with the

τ_2

model as the intermediate. We shall discuss how different gauge choices in the six-vertex model lead to two different quantum group constructions with different

q

-Pochhammer symbols, one construction only working well for

N

odd, the other equally well for all

N

. We also address the generalization based on the sl

(m,n)

vertex model.