Bulk Correlation Functions in 2d Quantum Gravity
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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.
Keywordsnoncritical strings conformal field theory two-dimensional gravity loop gas
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- 6.I. K. Kostov and V. B. Petkova, “Non-rational 2D quantum gravity: Ground ring versus loop gas,” in preparation.Google Scholar
- 17.B. Nienhuis, “Coulomb gas formulation of 2-d phase transitions,” in: Phase Transitions and Critical Phenomena (C. C. Domb and J. L. Lebowitz, eds.), Vol. 11, Acad. Press, London (1987), p. 1.Google Scholar