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Calabi-Yau mirror symmetry as a gauge theory duality

Aganagic, Mina and Karch, Andreas (2000) Calabi-Yau mirror symmetry as a gauge theory duality. Classical and Quantum Gravity, 17 (5). pp. 919-927. ISSN 0264-9381. doi:10.1088/0264-9381/17/5/301.

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Using brane set-ups we construct dual gauge theories in two dimensions with calN = (2,2) supersymmetry. Two different dualities are realized. One is basically a consequence of three-dimensional mirror symmetry. The nonlinear sigma model with a 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 on the dual, realizing a T-dual target space with torsion. The second dual is genuine to two dimensions. In addition to swapping Higgs and Coulomb branches it trades twisted for untwisted multiplets, implying a sign flip of the left-moving U (1)R charge. Successive application of both dualities leads to geometric mirror symmetry for the Calabi-Yau target space.

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Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2000. Received 18 October 1999, Print publication: Issue 5 (7 March 2000)
Issue or Number:5
Record Number:CaltechAUTHORS:AGAcqg00
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3138
Deposited By: Archive Administrator
Deposited On:16 May 2006
Last Modified:12 Jul 2022 19:40

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