Extending Mirror Conjecture to Calabi-Yau with Bundles

Details Extending Mirror Conjecture to Calabi-Yau with Bundles Extending Mirror Conjecture to Calabi-Yau with Bundles

1998-04-20

arxiv.org/abs/hep-th/9804131v2

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, minor corrections and additional references

Scientific paper

We define the notion of mirror of a Calabi-Yau manifold with a stable bundle in the context of type II strings in terms of supersymmetric cycles on the mirror. This allows us to relate the variation of Hodge structure for cohomologies arising from the bundle to the counting of holomorphic maps of Riemann surfaces with boundary on the mirror side. Moreover it opens up the possibility of studying bundles on Calabi-Yau manifolds in terms of supersymmetric cycles on the mirror.

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