Partition functions, intertwiners and the Coxeter element

Dorey, Patrick

doi:10.1142/S0217751X93000084

Partition functions, intertwiners and the Coxeter element

Patrick Dorey
(
- Saclay
)

May, 1992

20 pages

Published in:

Int.J.Mod.Phys.A 8 (1993) 193-208

e-Print:

hep-th/9205040 [hep-th]

DOI:

10.1142/S0217751X93000084

Report number:

SACLAY-SPH-T-92-053,
SACLAY-PREPRINT-SPHT-92-053

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Abstract:

The partition functions of Pasquier models on the cylinder, and the associated intertwiners, are considered. It is shown that earlier results due to Saleur and Bauer can be rephrased in a geometrical way, reminiscent of formulae found in certain purely elastic scattering theories. This establishes the positivity of these intertwiners in a general way and elucidates connections between these objects and the finite subgroups of SU(2). It also offers the hope that analogous geometrical structures might lie behind the so-far mysterious results found by Di Francesco and Zuber in their search for generalisations of these models.

Note:

18 pages

References(26)

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