|
|
Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 97
Quantum Group Invariant Integrable n-State Vertex Models with Periodic Boundary Conditions M. Karowski, A. Zapletal
An U_q(sl(n)) invariant transfer matrix with periodic boundary conditions is analysed by means of the algebraic nested Bethe ansatz for the case of q being a root of unity. The transfer matrix corresponds to a 2-dimensional vertex model on a torus with topological interaction w.r.t. the 3-dimensional interior of the torus. By means of finite size analysis we find the central charge of the corresponding Virasoro algebra as c=(n-1)(1-n(n+1)/(r(r-1))).
Get a gzip-compressed PostScript copy of this preprint
preprint097.ps.gz (96 kB)