MIRROR SYMMETRY OF CALABI-YAU MANIFOLDS AND FLAT COORDINATES

Authors
NOGUCHI M
Citation
M. Noguchi, MIRROR SYMMETRY OF CALABI-YAU MANIFOLDS AND FLAT COORDINATES, International journal of modern physics A, 12(27), 1997, pp. 4973-4995
Citations number
30
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
International journal of modern physics A → ACNP
ISSN journal
0217751X
Volume
12
Issue
27
Year of publication
1997
Pages
4973 - 4995
Database
ISI
SICI code
0217-751X(1997)12:27<4973:MSOCMA>2.0.ZU;2-V
Abstract
We study mirror symmetry of Calabi-Yau manifolds within the framework of the Gauss-Manin system. Applying the flat coordinates to the Gauss- Manin system for the periods, we derive differential equations for the mirror map in addition to the ordinary Picard-Fuchs equations for the periods. These equations ate obtained for a class of one-parameter mo dels and a two-parameter model of Fermat type Calabi-Yau manifolds.