THE STRUCTURE OF REPRESENTATION FOR THE W(3) MINIMAL MODEL

1991 ◽  
Vol 06 (01) ◽  
pp. 133-162 ◽  
Author(s):  
S. MIZOGUCHI
Keyword(s):  
Representation Theory ◽  
Potts Model ◽  
Minimal Model ◽  
Character Formula ◽  
Exact Results ◽  
Fusion Rules ◽  
Minimal Theory ◽  
Verlinde Formula ◽  
Degenerate Representation ◽  
Diagonal Embedding

Some exact results in the representation theory of the W(3) algebra are presented. The embedding structure of the completely degenerate representation is studied in detail. The character formula is obtained by the Feigen-Fuchs-Rocha-Caridi method. It is manifestly irreducible and coincides with the branching coefficients of diagonal embedding [Formula: see text] in the unitary case. The W(n) character for general n can also be obtained completely in parallel. Four-point functions and fusion rules are calculated explicitly for the Z3 Potts model as a W(3) minimal theory, which agree with the Verlinde formula.

scholarly journals Potts model on recursive lattices: some new exact results

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
P. D. Alvarez ◽  
F. Canfora ◽  
S. A. Reyes ◽  
S. Riquelme
Keyword(s):  
Potts Model ◽  
Exact Results ◽  
Recursive Lattices

scholarly journals QUASI-PARTICLES IN THE CHIRAL POTTS MODEL

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3601-3621 ◽  
Author(s):  
RINAT KEDEM ◽  
BARRY M. McCOY
Keyword(s):  
Transfer Matrix ◽  
Potts Model ◽  
Numerical Study ◽  
Particle Spectrum ◽  
Exact Results ◽  
Chiral Potts Model ◽  
Quasi Particle ◽  
Massive Phase ◽  
Matrix Eigenvalues ◽  
Potts Chain

We study the quasi-particle spectrum of the integrable three-state chiral Potts chain in the massive phase by combining a numerical study of the zeros of associated transfer matrix eigenvalues with the exact results of the ferromagnetic three-state Potts chain and the three-state superintegrable chiral Potts model. We find that the spectrum is described in terms of quasi-particles with momenta restricted only to segments of the Brillouin zone 0≤P≤2π where the boundaries of the segments depend on the chiral angles of the model.

Exact results for the Potts model in two dimensions

1978 ◽  
Vol 19 (6) ◽  
pp. 623-632 ◽  
Author(s):  
A. Hintermann ◽  
H. Kunz ◽  
F. Y. Wu
Keyword(s):  
Potts Model ◽  
Two Dimensions ◽  
Exact Results
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