Fractional-Level Kac-Moody Algebras and Nonunitary Coset Conformal Theories
Fractional-Level Kac-Moody Algebras and Nonunitary Coset Conformal Theories
In the coset construction, the admissible representations of Kaö-Moody algebras at fractional level give rise to nonunitary conformal field theories. We simplify the description (due to Kač and Wakimoto) of the possible highest weights of admissible representations. For every subgroup of the centre of a finite Lie algebra, we find …