A family of solvable non-rational conformal field theories

2008/03/31 by Sylvain Ribault · 2 citations
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1126-6708/2008/05/073

published as JHEP 0805:073,2008 · 14 pages, v2: role of subsingular vectors clarified

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.

Cited by

• Disk one-point function for a family of non-rational conformal theories
• On the description of surface operators in N=2* super Yang-Mills

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