Mirror Symmetry on Arbitrary Dimensional Calabi-Yau Manifold with a few moduli

Abstract

We calculate the B-model on the mirror pair of $X_{2N-2}(2,2,\cdots ,2,1,1)$ , which is an $(N-2)$-dimensional Calabi-Yau manifold and has two marginal operators i.e. $h^{1,1}(X_{2N-2}(2,2,\cdots ,2,1,1))=2$. In \cite{nagandjin} we have discussed about mirror symmetry on $X_N(1,1,\cdots ,1)$ and its mirror pair. However, $X_N(1,1,\cdots ,1)$ had only one moduli. In this paper we extend its methods to the case with a few moduli using toric geometry.

10pages,UT-689, [email protected]

Cited by in corpus (2)

• Calabi-Yau fourfolds for M- and F-Theory compactifications
• Mirror Symmetry, N=1 Superpotentials and Tensionless Strings on Calabi-Yau Four-Folds