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

Abstract

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.

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

References in corpus (8)

• Electroweak symmetry breaking from dimensional deconstruction
• (De)Constructing Dimensions
• Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
• 4D Constructions of Supersymmetric Extra Dimensions and Gaugino Mediation
• 4D Models of Scherk-Schwarz GUT Breaking via Deconstruction
• Mother Moose: Generating Extra Dimensions from Simple Groups at Large N
• Exact Results in 5D from Instantons and Deconstruction
• Quantum Modified Mooses

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• Loop Corrections in Higher Dimensions via Deconstruction
• Quantum Modified Mooses
• Non-Critical String Duals of N=1 Quiver Theories
• Lectures on 4d N=1 dynamics and related topics