Matrix Models of 2D Gravity and Isomonodromic Deformation

1 January 1990

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics Supplement

Vol. 102, 255-285
https://doi.org/10.1143/ptps.102.255

Abstract

We study the double scaling limit of orthogonal polynomials arising in matrix models of 2D gravity. These “Baker-Akhiezer functions” satisfy linear differential equations whose compatibility conditions are the string and KP flow equations. Moreover, these functions may be interpreted as two-point functions for a 2D field theory on the eigenvalue plane.

Keywords

LINEAR DIFFERENTIAL EQUATION
SATISFIABILITY
ORTHOGONAL POLYNOMIAL
EIGENVALUES
SCALING LIMIT
FIELD THEORY

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