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arXiv · hep-th/9910184

Calabi-Yau Mirror Symmetry as a Gauge Theory Duality

Mina Aganagic·Andreas Karch
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Abstract

We show that there are two different dualities of two dimensional gauge theories with N=(2,2) supersymmetry. One is basically a consequence of 3d mirror symmetry. The non-linear sigma model with Calabi-Yau target space on the Higgs branch of the gauge theory is mapped into an equivalent non-linear sigma model on the Coulomb branch of the dual theory, realizing a T-dual target space with torsion. The second duality is genuine to two dimensions. In addition to swapping Higgs and Coulomb branch it trades twisted for untwisted multiplets, implying a sign flip of the left moving U(1)_R charge. Succesive application of both dualities leads to geometric mirror symmetry for the target space Calabi-Yau.

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Mina Aganagic, Andreas Karch. 1999-10-22. Calabi-Yau Mirror Symmetry as a Gauge Theory Duality. https://doi.org/10.1088/0264-9381%2F17%2F5%2F301

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