A comment on the solutions of the generalized Faddeev-Volkov model

Abstract

We consider two recent generalizations of the Faddeev-Volkov model, which is exactly solvable Ising-type lattice spin model. The first generalization based on using of the non-compact quantum dilogarithm over Pontryagin self-dual LCA group R × Z/N Z, and another one constructed in a recent study via the gauge/YBE correspondence. We show that weight functions of these models obtained by different techniques are the same up to a constant.

Application of GIS in Solid Waste Management in Gara Garayev Avenue, Nizami district, Baku city, Azerbaijan.

“…Finally, there are many integrable lattice models [17,60,61,62,63,64] obtained recently via exact results from supersymmetric gauge theories. A similar approach can be used for obtaining corresponding inversion relations.…”

On Bailey pairs for $$ \mathcal{N} $$ = 2 supersymmetric gauge theories on $$ {S}_b^3/{\mathbb{Z}}_r $$

“…of lattice spin models (Ising-like and IRF-type) in statistical mechanics and pentagon identity as a 2 − 3 Pachner move [28,31,32,41]. In this work, we have constructed Bailey pairs that generate these integral identities.…”

“…In recent years, the remarkable concept of hypergeometric identities sits at the intersection of diverse studies such as exact results in supersymmetric gauge theories [1][2][3][4][5][6][7][8][9][10][11][12][13][14] and their mathematical structures interacting with various fields in mathematics, see, e.g., [15][16][17][18], star-triangle relation (Yang-Baxter equation) [19][20][21][22][23][24][25][26][27][28] or star-star relation [29][30][31][32] for spin lattice models, knot theory [33], pentagon identities [33][34][35][36][37][38][39][40][41], Bailey pairs [23,[42][43][44][45], quantum algebras [28,…”