The Continuous Series of Critical Points of the Two-Matrix Model at N -> infinity in the Double Scaling Limit
arXiv:hep-th/9703161 · doi:10.1016/S0550-3213(98)00080-7
Abstract
The critical points of the continuous series are characterized by two complex numbers l_1,l_2 (Re(l_1,l_2)< 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 l_1 or l_2. We use the orthogonal polynomial method and solve the Schwinger-Dyson equations with a technique borrowed from conformal field theory.
24 pages, LaTeX