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6+1 vacua in supersymmetric QCD with the G2 gauge group

A. V. Smilga

  • ITEP, B. Cheremushkinskaya 25, Moscow 117218, Russia

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Phys. Rev. D 58, 105014 – Published 9 October, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.105014

Abstract

We consider N=1 supersymmetric QCD based on the G2 gauge group and involving 3 chiral matter 7-plets Sαi. 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 λfαβγSα1Sβ2Sγ3, there are six chirally asymmetric vacua. In the limit λ→0, two of the vacua run away to infinity and only 4 asymmetric vacuum states are left. In addition, a chirally symmetric state is always present. We consider also an O(7) model with 4 chiral multiplets in the spinor representation. In that case, there are 4 extra “virtual vacua” dwelling at infinity of the moduli space. In a non-renormalizable theory with a quartic term in the superpotential, they show up at finite moduli values.

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Phys. Rev. D 58, 105014– Published 9 October, 1998
  • Received 13 February 1998

© 1998 American Physical Society

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