Bulk correlation functions in 2D quantum gravity

Details Bulk correlation functions in 2D quantum gravity Bulk correlation functions in 2D quantum gravity

2005-05-09

arxiv.org/abs/hep-th/0505078v2

Theor.Math.Phys. 146 (2006) 108-118; Teor.Mat.Fiz. 146 (2006) 132-145

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 figures

Scientific paper

10.1007/s11232-006-0011-y

We compute bulk 3- and 4-point tachyon correlators in the 2d Liouville gravity with non-rational matter central charge c<1, following and comparing two approaches. The continuous CFT approach exploits the action on the tachyons of the ground ring generators deformed by Liouville and matter ``screening charges''. A by-product general formula for the matter 3-point OPE structure constants is derived. We also consider a ``diagonal'' CFT of 2D quantum gravity, in which the degenerate fields are restricted to the diagonal of the semi-infinite Kac table. The discrete formulation of the theory is a generalization of the ADE string theories, in which the target space is the semi-infinite chain of points.

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