Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-03-14
Nucl.Phys. B664 (2003) 477-511
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 1 figure. v2: note added in proof
Scientific paper
10.1016/S0550-3213(03)00391-2
We construct a parafermionic conformal theory with the symmetry Z_N, for N odd, based on the second solution of Fateev-Zamolodchikov for the corresponding parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group D_N, as singlet, doublet 1,2,...,(N-1)/2, and disorder operators. In an assumed Coulomb gas scenario, the corresponding vertex operators are accommodated by the weight lattice of the Lie algebra B_(N-1)/2. The unitary theories are representations of the coset SO_n(N) x SO_2(N) / SO_{n+2}(N), with n=1,2,... . Physically, they realise the series of multicritical points in statistical theories having a D_N symmetry.
Dotsenko Vladimir S.
Jacobsen Jesper Lykke
Santachiara Raoul
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