## Abstract

We study the large N limit of an interacting two-dimensional matrix field theory, whose perturbative expansion generates the sum over planar random graphs embedded in two-dimensions. In the light cone quantization the theory possesses closed string excitations which become free as N→∞. If the longitudinal momenta are discretized, then the calculation of the free string spectrum reduces to finite matrix diagonalization, the size of the matrix growing as the cut-off is removed. Our numerical results suggest that, for a critical coupling, the light cone string spectrum becomes continuous. This would indicate the massless dynamics of the Liouville mode of two-dimensional gravity, which would constitute a third dimension of the string theory.

Original language | English (US) |
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Pages (from-to) | 79-87 |

Number of pages | 9 |

Journal | Physics Letters B |

Volume | 298 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 7 1993 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics