64 citations
19 papers
Form factors of spin 1 analogue of the eight-vertex model
Yas-Hiro Quano
The twenty-one-vertex model, the spin analogue of the eight-vertex model is considered on the basis of free field representations of vertex operators in the -fold fu…
A Vertex Operator Approach for Form Factors of Belavin's -Symmetric Model and Its Application
Yas-Hiro Quano
A vertex operator approach for form factors of Belavin's -symmetric model is constructed on the basis of bosonization of vertex operators in the $A^{(1)}_…
Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice
Rei Inoue, Shinsuke Iwao
We study the generalized ultradiscrete periodic Toda lattice T(M,N) which has tropical spectral curve. We introduce a tropical analogue of Fay's trisecant identity, and apply it to…
Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Types C_r, F_4, and G_2
Rei Inoue, Osamu Iyama, Bernhard Keller +2
We prove the periodicities of the restricted T and Y-systems associated with the quantum affine algebra of type C_r, F_4, and G_2 at any level. We also prove the dilogarithm identi…
Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r
Rei Inoue, Osamu Iyama, Bernhard Keller +2
We prove the periodicities of the restricted T and Y-systems associated with the quantum affine algebra of type B_r at any level. We also prove the dilogarithm identities for the Y…
Vertex operator approach for form factors of Belavin's -symmetric model
Yas-Hiro Quano
Belavin's -symmetric model is considered on the basis of bosonization of vertex operators in the model and vertex-face transformation. Fre…