SU(N) Meander Determinants
High Energy Physics - Theory
2009-10-30 v1 Quantum Algebra
q-alg
Abstract
We propose a generalization of meanders, i.e., configurations of non-selfintersecting loops crossing a line through a given number of points, to SU(N). This uses the reformulation of meanders as pairs of reduced elements of the Temperley-Lieb algebra, a SU(2)-related quotient of the Hecke algebra, with a natural generalization to SU(N). We also derive explicit formulas for SU(N) meander determinants, defined as the Gram determinants of the corresponding bases of the Hecke algebra.
Cite
@article{arxiv.hep-th/9702181,
title = {SU(N) Meander Determinants},
author = {P. Di Francesco},
journal= {arXiv preprint arXiv:hep-th/9702181},
year = {2009}
}
Comments
TeX using harvmac.tex and epsf.tex, 60 pages (l-mode), 5 figures