Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-15
Phys.Rev.D53:3399-3405,1996
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, LaTeX (uses revtex.sty)
Scientific paper
10.1103/PhysRevD.53.3399
We give a simple description of the classical moduli space of vacua for supersymmetric gauge theories with or without a superpotential. The key ingredient in our analysis is the observation that the lagrangian is invariant under the action of the complexified gauge group $\Gc$. From this point of view the usual $D$-flatness conditions are an artifact of Wess--Zumino gauge. By using a gauge that preserves $\Gc$ invariance we show that every constant matter field configuration that extremizes the superpotential is $\Gc$ gauge-equivalent (in a sense that we make precise) to a unique classical vacuum. This result is used to prove that in the absence of a superpotential the classical moduli space is the algebraic variety described by the set of all holomorphic gauge-invariant polynomials. When a superpotential is present, we show that the classical moduli space is a variety defined by imposing additional relations on the holomorphic polynomials. Many of these points are already contained in the existing literature. The main contribution of the present work is that we give a careful and self-contained treatment of limit points and singularities.
IV Washington Taylor
Luty Markus A.
No associations
LandOfFree
Varieties of vacua in classical supersymmetric gauge theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Varieties of vacua in classical supersymmetric gauge theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Varieties of vacua in classical supersymmetric gauge theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-422208