Mirror symmetry is T-duality

Andrew Strominger Shing-Tung Yau Eric Zaslow

Mathematical Physics mathscidoc:1912.43462

Nuclear Physics B, 479, 243-259, 1996.11
It is argued that every Calabi-Yau manifold <i>X</i> with a mirror <i>Y</i> admits a family of supersymmetric toroidal 3-cycles. Moreover the moduli space of such cycles together with their flat connections is precisely the space <i>Y</i>. The mirror transformation is equivalent to <i>T</i>-duality on the 3-cycles. The geometry of moduli space is addressed in a general framework. Several examples are discussed.
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  title={Mirror symmetry is T-duality},
  author={Andrew Strominger, Shing-Tung Yau, and Eric Zaslow},
  booktitle={Nuclear Physics B},
Andrew Strominger, Shing-Tung Yau, and Eric Zaslow. Mirror symmetry is T-duality. 1996. Vol. 479. In Nuclear Physics B. pp.243-259. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203416189460026.
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