Dual Description for SUSY SO(N) Gauge Theory with a Symmetric Tensor

We consider \caln=1 supersymmetric SO(N) gauge theory with a symmetric traceless tensor. This theory saturates 't Hooft matching conditions at the origin of the moduli space. This naively suggests a confining phase, but Brodie, Cho, and Intriligator have conjectured that the origin of the moduli space is in a Non-Abelian Coulomb phase. We construct a dual description by the deconfinement method, and also show that the theory indeed has an infrared fixed point for certain values of N. This result supports their argument.Comment: 12 pages, LaTeX, No figure

Doublet-Triplet Splitting and Fat Branes

We consider the doublet-triplet splitting problem in supersymmetric SU(5) grand unified theory in five dimensions where the fifth dimension is non-compact. We point out that an unnatural fine-tuning of parameters in order to obtain the light Higgs doublets is not required due to the exponential suppression of the overlap of the wave functions.Comment: 10 pages, LaTeX, no figures, the version to appear in Phys. Lett.

Negative dimensional group extrapolation and dualities in N = 1 supersymmetric gauge theories

We point out that the similarities in N = 1 supersymmetric SO, SP gauge theories can be explained by using the trick of extrapolating the groups to the negative dimensions. One of the advantages of this trick is that anomaly matching is automatically satisfied.Comment: 6 pages, LaTeX, no figure, Manuscript has been substantially modified because the duality we proposed before as an application of our method was wrong. The title itself has been changed accordingl