Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models

Details Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models Singularities of N=1 Supersymmetric Gauge Theory and Matrix Models

2003-07-31

arxiv.org/abs/hep-th/0308001v2

JHEP 0311 (2003) 025

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 1 figure. Revised section 1, fixed misprints in section 3.1, added clarifications and references

Scientific paper

10.1088/1126-6708/2003/11/025

In N=1 supersymmetric U(N) gauge theory with adjoint matter $\Phi$ and polynomial tree-level superpotential $W(\Phi)$, the massless fluctuations about each quantum vacuum are generically described by $U(1)^n$ gauge theory for some n. However, by tuning the parameters of $W(\Phi)$ 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 Argyres-Douglas 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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