Singularities of N = 1 Supersymmetric Gauge Theory and Matrix Models


In N = 1 supersymmetric U(N) gauge theory with adjoint matter Φ and polynomial tree-level superpotential W (Φ), the massless fluctuations about each quantum vacuum are generically described by U(1) gauge theory for some n. However, by tuning the parameters of W (Φ) to non-generic values, we can reach singular vacua where additional fields become massless. Using both the matrix model prescription and the strong-coupling approach, we study in detail three examples of such singularities: the singularities of the n = 1 branch, intersections of n = 1 and n = 2 branches, and a class of N = 1 ArgyresDouglas points. In all three examples, we find that the matrix model description of the low-energy physics breaks down in some way at the singularity.

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@inproceedings{Shih2008SingularitiesON, title={Singularities of N = 1 Supersymmetric Gauge Theory and Matrix Models}, author={David Q Shih}, year={2008} }