SU(N) Meander Determinants

Details SU(N) Meander Determinants SU(N) Meander Determinants

1997-02-25

arxiv.org/abs/hep-th/9702181v1

J.Math.Phys. 38 (1997) 5905-5943

Physics

High Energy Physics

High Energy Physics - Theory

TeX using harvmac.tex and epsf.tex, 60 pages (l-mode), 5 figures

Scientific paper

10.1063/1.532173

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.

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