Analytic continuation of Saito–Givental theories between Gepner and large-complex-structure points

Let W0=WW^{\vee}_0=W^{\vee} be the Gepner point and W=ixiW^{\vee}_{\infty}=\prod_i x_i the large complex structure point in the deformation space of WW^{\vee}. Let the corresponding Saito–Givental theories be defined near these two points. Gepner/large-complex-structure continuation. The Saito–Givental theories at W0W^{\vee}_0 and WW^{\vee}_{\infty} are related by analytic continuation and a symplectic transformation. This conjectural relation is intended to connect the Landau–Ginzburg and Calabi–Yau descriptions through the two distinguished points; the source gives no general proof.

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Primary source

Alessandro Chiodo and Yongbin Ruan, “A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence”, arXiv:1307.0939 (2013).

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