Structure Constants and Conformal Bootstrap in Liouville Field Theory

Details Structure Constants and Conformal Bootstrap in Liouville Field Theory Structure Constants and Conformal Bootstrap in Liouville Field Theory

1995-06-20

arxiv.org/abs/hep-th/9506136v2

Nucl.Phys.B477:577-605,1996

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 2 Postscript figures. Important note about existing (but unfortunately previously unknown to us) paper which has sig

Scientific paper

10.1016/0550-3213(96)00351-3

An analytic expression is proposed for the three-point function of the exponential fields in the Liouville field theory on a sphere. In the classical limit it coincides with what the classical Liouville theory predicts. Using this function as the structure constant of the operator algebra we construct the four-point function of the exponential fields and verify numerically that it satisfies the conformal bootstrap equations, i.e., that the operator algebra thus defined is associative. We consider also the Liouville reflection amplitude which follows explicitly from the structure constants.

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