This article is cited in 40 papers

Bulk Correlation Functions in 2d Quantum Gravity

I. K. Kostov^a, V. B. Petkova<sup>b

a</sup> CEA, Service de Physique Théorique
^b Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences

Abstract: We compute the bulk three- and four-point tachyon correlators in the 2d Liouville gravity with a nonrational matter central charge $c < 1$, using and comparing two approaches. The continuous CFT approach exploits the action on the tachyons of the ground-ring generators deformed with Liouville and matter screening charges. We derive a general formula for the matter three-point OPE structure constants as a by-product. 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.

Keywords: noncritical strings, conformal field theory, two-dimensional gravity, loop gas.

DOI: 10.4213/tmf2014

 English version: Theoretical and Mathematical Physics, 2006, 146:1, 108–118

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