Abstract
The free energy of Penner's model exhibits a logarithmic singularity in the continuum limit. We show, however, that the one-and two-point correlators of the usual loop-operators do not exhibit a logarithmic singularity. The continuum Schwinger-Dyson equations involving these correlation functions are derived, and it is found that within the space of the corresponding couplings, the resulting constraints obey a Virasoro algebra. The one-and two-point functions of the puncture operator and the one-point function of a set of operators are found to have logarithmic scaling violation.
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