Integrable boundary conditions in the antiferromagnetic Potts model
Abstract
We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine D22 Lie algebra. Using the known relations between the staggered six-vertex model and the antiferromagnetic Potts model, this mapping allows us to study the latter model using tools from integrability. We show that there is a simple interpretation of one of the known K -matrices of the D22 model in terms of Temperley-Lieb algebra generators, and use this to present an integrable Hamiltonian that turns out to be in the same universality class as the antiferromagnetic Potts model with free boundary conditions. The intriguing degeneracies in the spectrum observed in related works ([12, 13]) are discussed.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2020
- DOI:
- 10.1007/JHEP05(2020)144
- arXiv:
- arXiv:2003.03261
- Bibcode:
- 2020JHEP...05..144R
- Keywords:
-
- Bethe Ansatz;
- Lattice Integrable Models;
- Conformal Field Theory;
- Mathematical Physics;
- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Theory
- E-Print:
- 32 pages