Touching random surfaces and Liouville gravity

Igor R. Klebanov
1995 Physical Review D, Particles and fields  
Large N matrix models modified by terms of the form g(Φ^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 γ to γγ-1. We study this effect in Ł gravity and attribute it to a change of the interaction term from O e^α_+ ϕ for g<g_t to O e^α_- ϕ for g=g_t (α_+ and α_- are the two roots of the conformal invariance condition for the Ł
more » ... ressing of a matter operator O). Thus, the new critical behavior is explained by the unconventional branch of Ł dressing in the action.
doi:10.1103/physrevd.51.1836 pmid:10018650 fatcat:n7cx3l75fbcztfrhr7x3maomhe