Integral Transforms for Conformal Field Theories with a Boundary

Details Integral Transforms for Conformal Field Theories with a Boundary Integral Transforms for Conformal Field Theories with a Boundary

1995-07-05

arxiv.org/abs/hep-th/9507028v1

J.Phys. A28 (1995) 6915-6930

Physics

High Energy Physics

High Energy Physics - Theory

20 pagess, LateX file

Scientific paper

10.1088/0305-4470/28/23/031

A new method is developed for solving the conformally invariant integrals that arise in conformal field theories with a boundary. The presence of a boundary makes previous techniques for theories without a boundary less suitable. The method makes essential use of an invertible integral transform, related to the radon transform, involving integration over planes parallel to the boundary. For successful application of this method several nontrivial hypergeometric function relations are also derived.

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