The character formulae for the C-disorder fields corresponding to the charge conjugation symmetry in the parafermionic conformal field theories of Zamolodchikov and Fateev are obtained. These characters span a unitary representation of the level 2 subgroup Γ(2) of the full modular group. The corresponding Γ(2)-invariant partition functions are calculated. Derivation of the character formula is based on the relation between the parafermionic theories and the twisted N = 2 superconformal algebra. A similar idea is applied to explicitly construct the highest weight modules of the twisted SU(2) Kac-Moody algebra. © 1988.
Ravanini F., Yang S.-K. (1988). C-disorder fields and Γ(2)-invariant partition functions in parafermionic conformal field theories. NUCLEAR PHYSICS. B, 295(2), 262-276 [10.1016/0550-3213(88)90256-8].
C-disorder fields and Γ(2)-invariant partition functions in parafermionic conformal field theories
Ravanini F.;
1988
Abstract
The character formulae for the C-disorder fields corresponding to the charge conjugation symmetry in the parafermionic conformal field theories of Zamolodchikov and Fateev are obtained. These characters span a unitary representation of the level 2 subgroup Γ(2) of the full modular group. The corresponding Γ(2)-invariant partition functions are calculated. Derivation of the character formula is based on the relation between the parafermionic theories and the twisted N = 2 superconformal algebra. A similar idea is applied to explicitly construct the highest weight modules of the twisted SU(2) Kac-Moody algebra. © 1988.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
