1 Se p 20 07 The Eight Vertex Model . New results . ∗
نویسندگان
چکیده
Whereas the tools to determine the eigenvalues of the eight-vertex transfer matrix T are well known there has been until recently incomplete knowledge about the eigenvectors of T . We describe the construction of eigenvectors of T corresponding to degenerate eigenvalues and discuss the related hidden elliptic symmetry.
منابع مشابه
Fe b 20 03 Free field constructions for the elliptic algebra A q , p ( ̂ sl 2 ) and Baxter ’ s eight - vertex model ∗
Free field constructions for the elliptic algebra A q,p (sl 2) and Baxter's eight-vertex model Abstract Three examples of free field constructions for the vertex operators of the elliptic quantum group A q,p (sl 2) are obtained. Two of these (for p 1/2 = ±q 3/2 , p 1/2 = −q 2) are based on representation theories of the deformed Virasoro algebra, which correspond to the level 4 and level 2 Z-al...
متن کاملA new approach for Modeling and Evaluation of efficiency and power generation in Sterling engine; Analytical study
Although, the Stirling engine (SE) was invented many years ago, the investigation on SE is still interesting due to variety of energy resources can be applied to power it (solar energy, fossil fuel, biomass and geothermal energy). In this paper, the thermodynamic cycle of SE is analyzed by employing a new analytical model and a new method is presented to evaluate output power and efficiency of ...
متن کامل80 91 76 v 1 2 5 Se p 19 98 1 Hopping expansion as a tool for handling dual variables in lattice models
The hopping expansion of 8-vertex models in their Grassmann representation is studied. We use the functional similarity of the Ising model in this expansion with the hopping expansion of 2-D Wilson fermions to show that the lattice fermions are equivalent to the Self-avoiding Loop Model at bending rigidity 1/ √ 2. 1. Grasssmann representation for 8-vertex models and the hopping expansion Many l...
متن کامل1 0 Se p 20 07 Hurwitz numbers , matrix models and enumerative geometry
We propose a new, conjectural recursion solution for Hurwitz numbers at all genera. This conjecture is based on recent progress in solving type B topological string theory on the mirrors of toric Calabi–Yau manifolds, which we briefly review to provide some background for our conjecture. We show in particular how this B-model solution, combined with mirror symmetry for the one-leg, framed topol...
متن کاملA pr 2 00 3 Free field constructions for the elliptic algebra A q , p ( ̂ sl 2 ) and Baxter ’ s eight - vertex model ∗
Free field constructions for the elliptic algebra A q,p (sl 2) and Baxter's eight-vertex model Abstract Three examples of free field constructions for the vertex operators of the elliptic quantum group A q,p (sl 2) are obtained. Two of these (for p 1/2 = ±q 3/2 , p 1/2 = −q 2) are based on representation theories of the deformed Virasoro algebra, which correspond to the level 4 and level 2 Z-al...
متن کامل