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arxiv: hep-th/0703010 · v2 · submitted 2007-03-01 · ✦ hep-th · math-ph· math.CO· math.MP

Paths for Z_k parafermionic models

classification ✦ hep-th math-phmath.COmath.MP
keywords pathsparafermionicbijectionrsosbasisbressoudcorrespondencedescribe
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We present a simple bijection between restricted (Bressoud) lattice paths and RSOS paths in regime II. Both types of paths describe states in Z_k parafermionic irreducible modules. The bijection implies a direct correspondence between a RSOS path and a parafermionic state in a quasi-particle basis.

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