Integrability and matrix models

@article{Morozov1993IntegrabilityAM,
  title={Integrability and matrix models},
  author={Aleksey Morozov},
  journal={Physics-Uspekhi},
  year={1993},
  volume={37},
  pages={1 - 55}
}
  • A. Morozov
  • Published 24 March 1993
  • Engineering
  • Physics-Uspekhi
The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Discrete 1-matrix, 2-matrix, 'conformal' (multicomponent) and Kontsevich models are considered in some detail, together with the Ward identites ('W-constraints'), determinantal formulas and continuum limits, taking one kind of model into another. Subtle points and directions of the future research are also discussed. 
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