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Touching random surfaces and Liouville gravity

1995
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Physical Review D, Particles and fields
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Large $N$ matrix models modified by terms of the form $ g(\Tr\Phi^n)^2$ generate random surfaces which touch at isolated points. Matrix model results indicate that, as $g$ is increased to a special value $g_t$, the string susceptibility exponent suddenly jumps from its conventional value $\gamma$ to ${\gamma\over\gamma-1}$. We study this effect in \L\ gravity and attribute it to a change of the interaction term from $O e^{\alpha_+ \phi}$ for $g<g_t$ to $O e^{\alpha_- \phi}$ for $g=g_t$

doi:10.1103/physrevd.51.1836
pmid:10018650
fatcat:n7cx3l75fbcztfrhr7x3maomhe