### Abstract

By introducing a ∫ dt g (TrΦ^{2}(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 Δ^{2}log 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 Δ^{2} log Δ.

Original language | English (US) |
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Pages (from-to) | 35-42 |

Number of pages | 8 |

Journal | Physics Letters B |

Volume | 340 |

Issue number | 1-2 |

DOIs | |

State | Published - Dec 1 1994 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

Gubser, S. S., & Klebanov, I. R. (1994). A modified c = 1 matrix model with new critical behavior.

*Physics Letters B*,*340*(1-2), 35-42. https://doi.org/10.1016/0370-2693(94)91294-7