The Continuous Series of Critical Points of the Two-Matrix Model at N -> infinity in the Double Scaling Limit
Abstract
The critical points of the continuous series are characterized by two complex numbers l1,l2 (Re(l1,l2)< 0), and a natural number n (n>=3) which enters the string susceptibility constant through gamma = -2/(n-1). The critical potentials are analytic functions with a convergence radius depending on l1 or l2. We use the orthogonal polynomial method and solve the Schwinger-Dyson equations with a technique borrowed from conformal field theory.
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