Two-dimensional RCFT's without Kac-Moody symmetry

Understand

Using the method of modular-invariant differential equations, we classify a family of Rational Conformal Field Theories with two and three characters having no Kac-Moody algebra.

• In addition to unitary and non-unitary minimal models, we find "dual" theories whose characters obey bilinear relations with those of the minimal models to give the Moonshine Module.
• In some ways this relation is analogous to cosets of meromorphic CFT's.
• The theory dual in this sense to the Ising model has central charge 47/2 and is related to the Baby Monster Module.