Abstract
We consider the quantum Knizhnik-Zamolodchikov-Bernard equation for a face model with elliptic weights, the SOS model. We provide explicit solutions as theta functions. On the so-called combinatorial line, in which the model is equivalent to the three-colour model, these solutions are shown to be eigenvectors of the transfer matrix with periodic boundary conditions.
| Original language | English |
|---|---|
| Article number | 064001 |
| Number of pages | 26 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 49 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 12 Feb 2016 |
Keywords
- quantum Knizhnik-Zamolodchikov equation
- SOS model
- three-colour model
- FREE-FIELD CONSTRUCTION
- ZUMINO-WITTEN MODELS
- 8-VERTEX MODEL
- POLYNOMIAL SOLUTIONS
- BETHE-ANSATZ
- SPIN CHAINS
- SOS MODEL
- XXZ CHAIN
- LATTICE
- COMBINATORICS
