Hori, KentaroOoguri, HirosiVafa, Cumrun2019-09-221997Hori, Kentaro, Hirosi Ooguri, and Cumrun Vafa. 1997. β€œNon-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)00529-4.0169-68230550-32131873-1562http://nrs.harvard.edu/urn-3:HUL.InstRepos:41385077We 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.en-USNon-Abelian conifold transitions and N = 4 dualities in three dimensionsJournal Article2019-09-2210.1016/S0550-3213(97)00529-4