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arxiv: hep-th/9606040 · v2 · submitted 1996-06-07 · ✦ hep-th · alg-geom· math.AG

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Mirror Symmetry is T-Duality

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classification ✦ hep-th alg-geommath.AG
keywords cyclesmirrorspacemodulit-dualityaddressedadmitsargued
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It is argued that every Calabi-Yau manifold $X$ with a mirror $Y$ admits a family of supersymmetric toroidal 3-cycles. Moreover the moduli space of such cycles together with their flat connections is precisely the space $Y$. The mirror transformation is equivalent to T-duality on the 3-cycles. The geometry of moduli space is addressed in a general framework. Several examples are discussed.

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