Vortices and the non-singlet sector of the c = 1 matrix model

David J. Gross, Igor R. Klebanov

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75 Scopus citations


The role of the non-singlet sector of the matrix model representation of c = 1 matter coupled to two-dimensional quantum gravity is studied in the case where the target space is a circle of finite radius. It is argued that this sector decouples for large enough radius, since the non-singlet state energies are logarithmically divergent in the double scaling limit that reproduces continuum surfaces. We identify the degrees of freedom described by this sector as vortices on the world-sheet, which are dynamically irrelevant for large radius (low temperature) but condense at a critical value of the radius, giving rise to a Kosterlitz-Thouless phase transition.

Original languageEnglish (US)
Pages (from-to)459-474
Number of pages16
JournalNuclear Physics, Section B
Issue number2-3
StatePublished - May 6 1991

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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