113 research outputs found

    Messages for QCD from the Superworld

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    Recent discoveries in supersymmetric gauge theories have significant implications for our understanding for QCD and of field theory in general. The phases of N=1 supersymmetric QCD (SQCD) are discussed, and the possibility of similar phases in non-supersymmetric QCD is emphasized. It is described how duality in SQCD links many previously known duality transformations that were thought to be distinct, including Olive-Montonen duality of N=4 supersymmetric gauge theory and quark-hadron duality in (S)QCD. A link between Olive-Montonen duality and the confining strings of (S)QCD is explained, in which a picture of confinement via non-abelian monopole condensation --- a generalized dual Meissner effect --- emerges explicitly. In this picture, unlike previous ones, the confining flux tubes carry the correct Z_N discrete charges. A number of studies of these subjects, which could be carried out using lattice gauge theory, are proposed.Comment: Talk given at YKIS '97, Kyoto, Japan. 24 pages, 3 figures, uses ptptex.sty,ptpprep.st

    Manifolds of Fixed Points and Duality in Supersymmetric Gauge Theories

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    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 N=4{\cal N}=4 and N=2{\cal N}=2 supersymmetric theories; many finite N=1{\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 N=1{\cal N}=1 duality of Seiberg and duality in finite N=2{\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).Comment: Talk given at YKIS'95; 15 pp., uses ReVTeX, 3 uuencoded figure
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