Bulk Correlation Functions in 2d Quantum Gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 1, pp. 132-145
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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.
Keywords:
noncritical strings, conformal field theory, two-dimensional gravity, loop gas.
@article{TMF_2006_146_1_a10,
author = {I. K. Kostov and V. B. Petkova},
title = {Bulk {Correlation} {Functions} in 2d {Quantum} {Gravity}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {132--145},
publisher = {mathdoc},
volume = {146},
number = {1},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a10/}
}
I. K. Kostov; V. B. Petkova. Bulk Correlation Functions in 2d Quantum Gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 1, pp. 132-145. http://geodesic.mathdoc.fr/item/TMF_2006_146_1_a10/