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

David J. Gross; Igor R. Klebanov

doi:10.1016/0550-3213(91)90103-5

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

David J. Gross, Igor R. Klebanov

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112 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 language	English (US)
Pages (from-to)	671-688
Number of pages	18
Journal	Nuclear Physics, Section B
Volume	352
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(91)90103-5
State	Published - Apr 1 1991

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(91)90103-5

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

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.",

author = "Gross, {David J.} and Klebanov, {Igor R.}",

note = "Funding Information: * Research supported in part by NSF grant PHY80-19754 . * * Research supported in part by DOE grant DE-AC02-76WRO3072.",

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AU - Gross, David J.

AU - Klebanov, Igor R.

N1 - Funding Information: * Research supported in part by NSF grant PHY80-19754 . * * Research supported in part by DOE grant DE-AC02-76WRO3072.

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N2 - 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.

AB - 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.

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

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