Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure
High Energy Physics - Theory
2010-04-05 v2 Condensed Matter
Mathematical Physics
math.MP
Quantum Algebra
Abstract
We discuss the q-state Potts models for q<=4, in the scaling regimes close to their critical or tricritical points. Starting from the kink S-matrix elements proposed by Chim and Zamolodchikov, the bootstrap is closed for the scaling regions of all critical points, and for the tricritical points when 4>q>=2. We also note a curious appearance of the extended last line of Freudenthal's magic square in connection with the Potts models.
Keywords
Cite
@article{arxiv.hep-th/0208111,
title = {Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure},
author = {Patrick Dorey and Andrew Pocklington and Roberto Tateo},
journal= {arXiv preprint arXiv:hep-th/0208111},
year = {2010}
}
Comments
43 pages, many figures. Latex 2e, uses amssymb,cite,graphicx. v2: typos corrected and references added; discussion of the link with Deligne's conjecture expanded