Published March 7, 2000
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Calabi-Yau mirror symmetry as a gauge theory duality
- Creators
- Aganagic, Mina
- Karch, Andreas
Abstract
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.
Additional Information
Copyright © Institute of Physics and IOP Publishing Limited 2000. Received 18 October 1999, Print publication: Issue 5 (7 March 2000)Files
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Additional details
- Eprint ID
- 3138
- Resolver ID
- CaltechAUTHORS:AGAcqg00
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2006-05-16Created from EPrint's datestamp field
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2022-07-12Created from EPrint's last_modified field