Thermal flow in the gravitational O(n) model

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We study the massless flow from the critical point (dilute loops) to the low-temperature phase (dense loops) of the O(n) loop gas model when the model is coupled to 2D gravity. The flow is generated by the gravitationally dressed thermal operator Φ_{1,3} coupled to the renormalized loop tension λ~ T-T_c. We find that the susceptibility as a function of the thermal coupling λand the cosmological constant μsatisfies a simple transcendental equation.
14 pages, 2 figures; contribution to QTS-4, Varna, Bulgaria

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