CALABI-YAU SUPERMODULI SPACE, FIELD-STRENGTH DUALITY AND MIRROR MANIFOLDS

Calabi-Yau moduli space have a super extension due to their relation to type II superstring compactifications. Supermoduli can be defined as N = 2 target space vector-supermultiplets containing both the moduli and their vector field bosonic superpartners. A change of basis in the cohomology vector space corresponds to (modular) duality transformations of target space vector field strengths. Target space two-forms will take values in the cohomology spaces of Calabi-Yau manifolds, and are therefore related to the Kähler class and complex structure deformations, which may be relevant for the description of mirror symmetries of (2, 2) superconformal field theories. © 1990.