Disk one-point function for non-rational conformal theories
arXiv:1005.2607 · doi:10.1007/JHEP09(2010)077
Abstract
We consider an infinite family of non-rational conformal field theories in the presence of a conformal boundary. These theories, which have been recently proposed in arXiv:0803.2099, are parameterized by two real numbers (b,m) in such a way that the corresponding central charges c_{b,m} are given by c_{b,m}=3+6(b+b^{-1}(1-m))^{2}. For the disk geometry, we explicitly compute the expectation value of a bulk vertex operator in the case m \in Z, such that the result reduces to the Liouville one-point function when m=0. We perform the calculation of the disk one-point function in two different ways, obtaining results in perfect agreement, and giving the details of both the path integral and the free field derivations.
25 pages. Version that matches the published one
References in corpus (9)
- H^+_3 WZNW model from Liouville field theory
- Branes in the GL(1|1) WZNW-Model
- Structure constants of the OSP(1|2) WZNW model
- Geometry of branes on supergroups
- Boundary action of the H3+ model
- Branes in the OSP(1|2) WZNW model
- Black Hole - String Transition and Rolling D-brane
- A correspondence between H3+ WZW and Liouville theories on discs
- AdS2 D-branes in AdS3 spacetime