Exact amplitudes in four dimensional non-critical string theories

Details Exact amplitudes in four dimensional non-critical string theories Exact amplitudes in four dimensional non-critical string theories

2001-07-11

arxiv.org/abs/hep-th/0107096v2

Nucl.Phys. B617 (2001) 348-364

Physics

High Energy Physics

High Energy Physics - Theory

20 pages; v2: typos corrected

Scientific paper

10.1016/S0550-3213(01)00476-X

The large Nc expansion of N=2 supersymmetric Yang-Mills theory with gauge group SU(Nc) has recently been shown to break down at singularities on the moduli space. We conjecture that by taking Nc to infinity 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 A_{n-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.

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