Touching Random Surfaces and Liouville Gravity

Details Touching Random Surfaces and Liouville Gravity Touching Random Surfaces and Liouville Gravity

1994-07-25

arxiv.org/abs/hep-th/9407167v2

Phys.Rev. D51 (1995) 1836-1841

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, PUPT-1486 (last paragraph of sec. 2 revised)

Scientific paper

10.1103/PhysRevD.51.1836

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

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