Supersymmetric gauge theories with a free algebra of invariants

Details Supersymmetric gauge theories with a free algebra of invariants Supersymmetric gauge theories with a free algebra of invariants

1998-03-11

arxiv.org/abs/hep-th/9803087v2

Nucl.Phys. B531 (1998) 507-524

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Section 2.1 extended, references added

Scientific paper

10.1016/S0550-3213(98)00523-9

We study the low-energy dynamics of all N=1 supersymmetric gauge theories whose basic gauge invariant fields are unconstrained. This set includes all theories whose matter Dynkin index is less than the index of the adjoint representation. We study the dynamically generated superpotential in these theories, and show that there is a W=0 branch if and only if anomaly matching is satisfied at the origin. An interesting example studied in detail is SO(13) with a spinor, a theory with a dynamically generated W and no anomaly matching at the origin. It flows via the Higgs mechanism to SU(6) with a three-index antisymmetric tensor, a theory with a W=0 branch and anomaly matching at the origin.

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