Fermionic string field theory of c = 1 two-dimensional quantum gravity

David J. Gross, Igor R. Klebanov

Research output: Contribution to journalArticlepeer-review

105 Scopus citations

Abstract

The matrix model representation of c = 1 matter coupled to two-dimensional quantum gravity is analyzed as a string theory. It is shown that a natural representation of the string field theory is that of free, two-dimensional Dirac fermions. One of the dimensions is that of the target space, the other arises from the space of the eigenvalues of the matrices and is identified with the zero mode of the Liouville field. The higher-order contributions to the correlation functions of the observables arise from translationally non-invariant corrections to the fermion kinetic energy. We discuss the integrability of this model and present some calculations of correlation functions using this formalism.

Original languageEnglish (US)
Pages (from-to)671-688
Number of pages18
JournalNuclear Physics, Section B
Volume352
Issue number3
DOIs
StatePublished - Apr 1 1991

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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