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.
|Original language||English (US)|
|Number of pages||17|
|Journal||Nuclear Physics B|
|State||Published - Nov 11 1996|
- Mirror symmetry
ASJC Scopus subject areas
- Nuclear and High Energy Physics