A modified c = 1 matrix model with new critical behavior

Steven S. Gubser, Igor R. Klebanov

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


By introducing a ∫ dt g (TrΦ2(t))2 term into the action of the c = 1 matrix model of two-dimensional quantum gravity, we find a new critical behavior for random surfaces. The planar limit of the path integral generates multiple spherical "bubbles" which touch one another at single points. At a special value of g, the sum over connected surfaces behaves as Δ2log Δ, where Δ is the cosmological constant (the sum over surfaces of area A goes as A-3). For comparison, in the conventional c = 1 model the sum over planar surfaces behaves as Δ2 log Δ.

Original languageEnglish (US)
Pages (from-to)35-42
Number of pages8
JournalPhysics Letters B
Issue number1-2
StatePublished - Dec 1 1994

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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