A family of solvable non-rational conformal field theories
High Energy Physics - Theory
2009-12-10 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0803.2099,
title = {A family of solvable non-rational conformal field theories},
author = {Sylvain Ribault},
journal= {arXiv preprint arXiv:0803.2099},
year = {2009}
}
Comments
14 pages, v2: role of subsingular vectors clarified