Journal
THEORETICAL AND MATHEMATICAL PHYSICS
Volume 146, Issue 1, Pages 108-118Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1007/s11232-006-0011-y
Keywords
noncritical strings; conformal field theory; two-dimensional gravity; loop gas
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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.
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