Disk one-point function for non-rational conformal theories

Details Disk one-point function for non-rational conformal theories Disk one-point function for non-rational conformal theories

2010-05-14

arxiv.org/abs/1005.2607v2

JHEP 1009:077,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 pages. Version that matches the published one

Scientific paper

10.1007/JHEP09(2010)077

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.

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