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P. Berglund, P. Candelas, X. de la Ossa, A. Font, T. Hubsch, D. Jancic and F. Quevedo: Nucl. Phys. B419 (1994) 352, hep-th/9308005.

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Three Point Functions on the Sphere of Calabi-Yau d-Folds - Sugiyama   (Correct)

....for the mirror pairs (M, W) it is becoming possible to obtain the A(M) model correlators from the B(W) model ones indirectly but in a form involving all the quantum corrections. Now it may fairly be said that the analyses of the Calabi Yau 3 folds under the mirror symmetries have been established [8, 9, 10, 11, 12, 13, 14, 15, 16]. In this article, we study the A(M) model correlators of some d dimensional Calabi Yau manifolds as mathematical physics applications under the mirror symmetry furthermore [17, 18, 19] Because both the A model and the B model are pseudo topological theories, they are characterized by their two ....

P. Berglund, P. Candelas, X. de la Ossa, A. Font, T. Hubsch, D. Janci'c and F. Quevedo, Nucl. Phys. B419 (1994) 352.


Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P .. - Candelas, Ossa, Katz (1995)   (1 citation)  Self-citation (Candelas Ossa)   (Correct)

....whose mirror does not appear in the list Consider the manifold M = IP 4 (21;37;108;295;424) 885] which has b 11 = 295 and b 21 = 7. This is a manifold that appears in the lists of Klemm and Schimmrigk, and Kreuzer and Skarke. No mirror of this manifold appears in the list. It is shown in[24] that the periods of a given Calabi Yau manifold M are most easily written as hypergeometric functions in terms of the weights k of the mirror of M. Since we are able to write the periods directly we may read off the weights of the mirror. Alternatively we may apply the Berglund Hubsch ....

....to a singular Calabi Yau manifold with a conifold singularity at X 1 = X 2 = X 3 = X 6 = 0, which gives phase I or phase II depending on the choice of blowup. Phase III X 3 = X 6 = X 4 = X 5 = 0 ; X 0 6= 0 and r 2 0 ; r 2 4r 1 7 : This phase corresponds to a hybrid of a IP (1;3;8;12) 3 [24] ( K3) Landau Ginzburg orbifold fibered over the IP 1 defined by the coordinates (X 1 ; X 2 ) The effective potential for the Landau Ginzburg orbifold is W eff = r jr 2 j 24 (c 1 X 24 6 c 2 X 8 3 X 3 4 X 2 5 ) and, obviously, the quantum symmetry is ZZ 24 . In the boundary ....

P. Berglund, P. Candelas, X. de la Ossa, A. Font, T. Hubsch, D. Jancic and F. Quevedo: Nucl. Phys. B419 (1994) 352, hep-th/9308005.

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