A family of solvable non-rational conformal field theories

Sylvain Ribault (1)

1 LPTA - Laboratoire de Physique Théorique et Astroparticules

We find non-rational conformal field theories in two dimensions, which are solvable due to their correlators being related to correlators of Liouville theory. Their symmetry algebra consists of the dimension-two stress-energy tensor, and two dimension-one fields. The theories come in a family with two parameters: the central charge c and a complex number m. The special case m=0 corresponds to Liouville theory (plus two free bosons), and m=1 corresponds to the H3+ model. In the case m=2 we show that the correlators obey third-order differential equations, which are however not associated to null vectors.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]

Sylvain Ribault. A family of solvable non-rational conformal field theories. 2008. ⟨hal-00263673v1⟩