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arXiv · hep-th/9312155

Conformal Field Theory and Hyperbolic Geometry

P. Kleban·I. Vassileva
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Abstract

We examine the correspondence between the conformal field theory of boundary operators and two-dimensional hyperbolic geometry. By consideration of domain boundaries in two-dimensional critical systems, and the invariance of the hyperbolic length, we motivate a reformulation of the basic equation of conformal covariance. The scale factors gain a new, physical interpretation. We exhibit a fully factored form for the three-point function. A doubly-infinite discrete series of central charges with limit c=-2 is discovered. A correspondence between the anomalous dimension and the angle of certain hyperbolic figures emerges. Note: email after 12/19: kleban@maine.maine.edu

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P. Kleban, I. Vassileva. 1993-12-17. Conformal Field Theory and Hyperbolic Geometry. https://doi.org/10.1103/physrevlett.72.3929

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