Light cone quantization of the c=2 matrix model

Simon Dalley, Igor R. Klebanov

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


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 languageEnglish (US)
Pages (from-to)79-87
Number of pages9
JournalPhysics Letters B
Issue number1-2
StatePublished - Jan 7 1993

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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