Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-19
Nucl.Phys.B677:223-272,2004
Physics
High Energy Physics
High Energy Physics - Theory
59 pages, 29 figures
Scientific paper
10.1016/j.nuclphysb.2003.10.033
We map out and explore the zoo of possible 4d N=1 superconformal theories which are obtained as RG fixed points of N=1 SQCD with N_f fundamental and N_a adjoint matter representations. Using "a-maximization," we obtain exact operator dimensions at all RG fixed points and classify all relevant, Landau-Ginzburg type, adjoint superpotential deformations. Such deformations can be used to RG flow to new SCFTs, which are then similarly analyzed. Remarkably, the resulting 4d SCFT classification coincides with Arnold's ADE singularity classification. The exact superconformal R-charge and the central charge a are computed for all of these theories. RG flows between the different fixed points are analyzed, and all flows are verified to be compatible with the conjectured a-theorem.
Intriligator Ken
Wecht Brian
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