Touching random surfaces and Liouville gravity

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Abstract

Large N matrix models modified by terms of the form g(Trn)2 generate random surfaces which touch at isolated points. Matrix model results indicate that, as g is increased to a special value gt, the string susceptibility exponent suddenly jumps from its conventional value to /(-1). We study this effect in Liouville gravity and attribute it to a change of the interaction term from Oe+ for g<gt to Oe- for g=gt (+ and - are the two roots of the conformal invariance condition for the Liouville dressing of a matter operator O). Thus, the new critical behavior is explained by the unconventional branch of Liouville dressing in the action.

Original languageEnglish (US)
Pages (from-to)1836-1841
Number of pages6
JournalPhysical Review D
Volume51
Issue number4
DOIs
StatePublished - 1995

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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