English

Supersymmetric Gauge Theories with an Affine Quantum Moduli Space

High Energy Physics - Theory 2009-10-30 v2

Abstract

All supersymmetric gauge theories based on simple groups which have an affine quantum moduli space, i.e. one generated by gauge invariants with no relations, W=0, and anomaly matching at the origin, are classified. It is shown that the only theories with no gauge invariants (and moduli space equal to a single point) are the two known examples, SU(5) with 5-bar + 10 and SO(10) with a spinor. The index of the matter representation must be at least as big as the index of the adjoint in theories which have a non-trivial relation among the gauge invariants.

Keywords

Cite

@article{arxiv.hep-th/9712010,
  title  = {Supersymmetric Gauge Theories with an Affine Quantum Moduli Space},
  author = {Gustavo Dotti and Aneesh V. Manohar},
  journal= {arXiv preprint arXiv:hep-th/9712010},
  year   = {2009}
}

Comments

Incorrect proof that theories with constraints must have mu >= mu(adj) replaced by a correct one (6 pages, uses revtex, amssymb, array)