Abstract :
The large N expansion of N=2 supersymmetric Yang–Mills theory with gauge group SU(N) has recently been shown to break down at singularities on the moduli space. We conjecture that by taking N→∞ and approaching the singularities in a correlated way, all the observables of the theory have a finite universal limit yielding amplitudes in string theories dual to field theories describing the light degrees of freedom. We explicitly calculate the amplitudes corresponding to the Seiberg–Witten period integrals for an An−1 series of multicritical points as well as for other critical points exhibiting a scaling reminiscent of the c=1 matrix model. Our results extend the matrix model approach to non-critical strings in less than one dimension to non-critical strings in four dimensions.
