Manifolds of Fixed Points and Duality in Supersymmetric Gauge Theories

Details Manifolds of Fixed Points and Duality in Supersymmetric Gauge Theories Manifolds of Fixed Points and Duality in Supersymmetric Gauge Theories

1996-02-05

arxiv.org/abs/hep-th/9602021v1

Prog.Theor.Phys.Suppl.123:373-380,1996

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1143/PTPS.123.373

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 ${\cal N}=4$ and ${\cal N}=2$ supersymmetric theories; many finite ${\cal N}=1$ 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 ${\cal N}=1$ duality of Seiberg and duality in finite ${\cal N}=2$ theories is found using this approach, giving further evidence for the former. This talk is based on work with Robert Leigh (hep-th/9503121).

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