The continuous series of critical points of the two-matrix model at N → ∞ in the double scaling limit Original Research Article

The critical points of the continuous series are characterized by two complex numbers l1,2 (Re(l1,2 < 0), and a natural number n (n ⩾ 3) which enters the string susceptibility constant through γ = −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.