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arXiv · 0803.2099

A family of solvable non-rational conformal field theories

Sylvain Ribault
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Abstract

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 associated to a subsingular vector of the symmetry algebra.

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Sylvain Ribault. 2008-05-23. A family of solvable non-rational conformal field theories. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F073

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