6 + 1 Vacua in Supersymmetric QCD with G_2 Gauge Group

Details 6 + 1 Vacua in Supersymmetric QCD with G_2 Gauge Group 6 + 1 Vacua in Supersymmetric QCD with G_2 Gauge Group

1998-01-13

arxiv.org/abs/hep-th/9801078v1

Phys.Rev.D58:105014,1998

Physics

High Energy Physics

High Energy Physics - Theory

15 pages LaTeX, 1 Postscript figure

Scientific paper

10.1103/PhysRevD.58.105014

We consider N=1 supersymmetric QCD based on the G_2 gauge group and including 3 chiral matter 7-plets. In that case, the gauge symmetry is broken completely and the instanton-generated superpotential on the classical moduli space is present. If the theory involves the Yukawa term, there are six chirally asymmetric vacua. In the limit when the Yukawa coupling vanishes, two of the vacua run away to infinity and only 4 asymmetric vacuum states are left. Besides, a chirally symmetric state is always present. We consider also an O(7) model with 4 chiral multiplets in spinor representation. In that case, there are 4 extra "virtual vacua" dwelling at infinity of the moduli space. In a non-renormalizable theory involving a quartic term in the superpotential, they show up at finite moduli values.

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