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Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces

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arxiv hep-th/9702198 v2 pith:HJFGEIZC submitted 1997-02-27 hep-th

K. Intriligator , D.R. Morrison , N. Seiberg This is my paper · ORCID
classification hep-th
keywords calabi-yaugaugetheoriesfixedpointssomecasesclassification
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We discuss five-dimensional supersymmetric gauge theories. An anomaly renders some theories inconsistent and others consistent only upon including a Wess-Zumino type Chern-Simons term. We discuss some necessary conditions for existence of nontrivial renormalization group fixed points and find all possible gauge groups and matter content which satisfy them. In some cases, the existence of these fixed points can be inferred from string duality considerations. In other cases, they arise from M-theory on Calabi-Yau threefolds. We explore connections between aspects of the gauge theory and Calabi-Yau geometry. A consequence of our classification of field theories with nontrivial fixed points is a fairly complete classification of a class of singularities of Calabi-Yau threefolds which generalize the ``del Pezzo contractions'' and occur at higher codimension walls of the K\"{a}hler cone.

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Cited by 13 Pith papers

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