Manifolds of Fixed Points and Duality in Supersymmetric Gauge Theories

Abstract

There are many physically interesting superconformal gauge theories in four dimensions. In this talk I discuss a common phenomenon in these theories: the existence of continuous families of infrared fixed points. Well-known examples include finite $\mathcal{N}=4$ and $\mathcal{N}=2$ supersymmetric theories; many finite $\mathcal{N}=1$ examples are known also. These theories are a subset of a much larger class, whose existence can easily be established and understood using the algebraic methods explained here. A relation between the $\mathcal{N}=1$ duality of Seiberg and duality in finite $\mathcal{N}=2$ theories is found using this approach, giving further evidence for the former. This talk is based on work with Robert Leigh (hep-th/9503121).

Talk given at YKIS'95; 15 pp., uses ReVTeX, 3 uuencoded figures

References in corpus (2)

• The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups
• Reduction of Coupling Parameters

Cited by in corpus (10)

• String Expansion as Large N Expansion of Gauge Theories
• SDLCQ: Supersymmetric Discrete Light Cone Quantization
• On the Holomorphic Structure of a Low Energy Supersymmetric Wilson Effective Action
• On Renormalization Group Flows and Exactly Marginal Operators in Three Dimensions
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• Mapping Dirac gaugino masses
• The Perils of `Soft' SUSY Breaking
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• Physics of Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theories
• Flavor Symmetry Breaking in Strongly Coupled N=1 Supersymmetric SO(N_c) Gauge Theory with N_f=N_c-2