The Hilbert basis method for D-flat directions and the superpotential

Understand

We discuss, using the Hilbert basis method, how to efficiently construct a complete basis for D-flat directions in supersymmetric Abelian and non-Abelian gauge theories.

• We extend the method to discrete (R and non-R) symmetries.
• This facilitates the construction of a basis of all superpotential terms in a theory with given symmetries.