The Vertex-Face Correspondence and Correlation Functions of the Fusion Eight-Vertex Model I: The General Formalism
Kojima, Takeo ; Konno, Hitoshi ; Weston, Robert
arXiv, 0504433 / Harvested from arXiv
Text on arXiv
Based on the vertex-face correspondence, we give an algebraic analysis formulation of correlation functions of the $k\times k$ fusion eight-vertex model in terms of the corresponding fusion SOS model. Here $k\in Z_{>0}$. A general formula for correlation functions is derived as a trace over the space of states of lattice operators such as the corner transfer matrices, the half transfer matrices (vertex operators) and the tail operator. We give a realization of these lattice operators as well as the space of states as objects in the level $k$ representation theory of the elliptic algebra $U_{q,p}(\hat{sl}_2)$.
Publié le : 2005-04-21
Classification:  Mathematics - Quantum Algebra,  High Energy Physics - Theory,  Mathematical Physics,  82B23 (Primary) 81R50, 81R12 (Secondary) 
@article{0504433,
     author = {Kojima, Takeo and Konno, Hitoshi and Weston, Robert},
     title = {The Vertex-Face Correspondence and Correlation Functions of the Fusion
  Eight-Vertex Model I: The General Formalism},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504433}
}

Kojima, Takeo; Konno, Hitoshi; Weston, Robert. The Vertex-Face Correspondence and Correlation Functions of the Fusion
  Eight-Vertex Model I: The General Formalism. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504433/