N=1 Supersymmetric $SU(2)^r$ Moose Theories

Details N=1 Supersymmetric $SU(2)^r$ Moose Theories N=1 Supersymmetric $SU(2)^r$ Moose Theories

2002-09-30

arxiv.org/abs/hep-th/0209266v4

Phys.Rev.D67:085023,2003

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 4 figures. A few comments and references added. To appear in PRD

Scientific paper

10.1103/PhysRevD.67.085023

We study the quantum moduli spaces and dynamical superpotentials of four dimensional $SU(2)^r$ linear and ring moose theories with $\mathcal{N}=1$ supersymmetry and link chiral superfields in the fundamental representation. Nontrivial quantum moduli spaces and dynamical superpotentials are produced. When the moduli space is perturbed by generic tree level superpotentials, the vacuum space becomes discrete. The ring moose is in the Coulomb phase and we find two singular submanifolds with a nontrivial modulus that is a function of all the independent gauge invariants needed to parameterize the quantum moduli space. The massive theory near these singularities confines. The Seiberg-Witten elliptic curve that describes the quantum moduli space of the ring moose is produced.

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