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Disk one-point function for a family of non-rational conformal theories

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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 [1], 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 \( m \in \mathbb{Z} \), 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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Authors and Affiliations

  1. Departamento de Física, Universidad de Buenos Aires FCEN-UBA, Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina

    Juan Pablo Babaro & Gaston Giribet

  2. Instituto de Física de Buenos Aires IFIBA-CONICET, Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina

    Gaston Giribet

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  1. Juan Pablo Babaro
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  2. Gaston Giribet
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Correspondence to Gaston Giribet.

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Babaro, J.P., Giribet, G. Disk one-point function for a family of non-rational conformal theories. J. High Energ. Phys. 2010, 77 (2010). https://doi.org/10.1007/JHEP09(2010)077

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