PT-invariance and representations of the Temperley-Lieb algebra on the unit circle
Mathematical Physics
2008-01-02 v2 math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We present in detail a recent conjecture on self-adjoint representations of the Temperley-Lieb algebra for particular values on the unit circle. The formulation in terms of graphical calculus is emphasized and discussed for several examples. The role of PT (parity and time reversal) invariance is highlighted as it might prove important for generalising the construction to other cases.
Keywords
Cite
@article{arxiv.0712.2205,
title = {PT-invariance and representations of the Temperley-Lieb algebra on the unit circle},
author = {Christian Korff},
journal= {arXiv preprint arXiv:0712.2205},
year = {2008}
}
Comments
12 pages, 18 figures. Proceedings contribution for RAQUIS, Annecy, France, Sep 2007; revised version: some typos fixed and references added