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arxiv: hep-th/0212194 · v4 · submitted 2002-12-17 · ✦ hep-th

Boundary Correlators in 2D Quantum Gravity: Liouville versus Discrete Approach

classification ✦ hep-th
keywords boundarytwo-pointcorrelatorsfunctiongravityliouvillequantumzamolodchikov
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We calculate a class of two-point boundary correlators in 2D quantum gravity using its microscopic realization as loop gas on a random surface. We find a perfect agreement with the two-point boundary correlation function in Liouville theory, obtained by V. Fateev, A. Zamolodchikov and Al. Zamolodchikov. We also give a geometrical meaning of the functional equation satisfied by this two-point function.

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