Non-Abelian conifold transitions and N = 4 dualities in three dimensions
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CitationHori, Kentaro, Hirosi Ooguri, and Cumrun Vafa. 1997. “Non-Abelian Conifold Transitions and N = 4 Dualities in Three Dimensions.” Nuclear Physics B 504 (1–2): 147–74. https://doi.org/10.1016/s0550-3213(97)00529-4.
AbstractWe show how the Higgs mechanism for non-Abelian N = 2 gauge theories in four dimensions is geometrically realized in the context of type II strings as transitions among compactifications of Calabi-Yau 3-folds. We use this result and T-duality of a further compactification on a circle to derive N = 4, d = 3 dual field theories. This reduces the dualities for N = 4 gauge systems in three dimensions to perturbative symmetries of string theory. Moreover, we find that the dual of a gauge system always exists but may or may not correspond to a Lagrangian system. In particular, we verify a conjecture of Intriligator and Seiberg that an ordinary gauge system is dual to compactification of exceptional tensionless string theory down to three dimensions.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41385077
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