Mirror Symmetry
Abstract
We prove mirror symmetry for supersymmetric sigma models on Kahler manifolds in 1+1 dimensions. The proof involves establishing the equivalence of the gauged linear sigma model, embedded in a theory with an enlarged gauge symmetry, with a Landau-Ginzburg theory of Toda type. Standard R -> 1/R duality and dynamical generation of superpotential by vortices are crucial in the derivation. This provides not only a proof of mirror symmetry in the case of (local and global) Calabi-Yau manifolds, but also for sigma models on manifolds with positive first Chern class, including deformations of the action by holomorphic isometries.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2000
- DOI:
- 10.48550/arXiv.hep-th/0002222
- arXiv:
- arXiv:hep-th/0002222
- Bibcode:
- 2000hep.th....2222H
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 91 pages