Fjrw-rings and Landau-ginzburg Mirror Symmetry
نویسنده
چکیده
Abstract. In this article, we study the Berglund–Hübsch transpose construction W T for invertible quasihomogeneous potential W . We introduce the dual group G and establish the state space isomorphism between the Fan–Jarvis–Ruan–Witten A-model of W/G and the orbifold Milnor ring B-model of W T /G . Furthermore, we prove a mirror symmetry theorem at the level of Frobenius algebra structure for G. Then, we interpret Arnol’d strange duality of exceptional singularities W as mirror symmetry between W/ 〈J〉 and its strange dual W .
منابع مشابه
Fjrw-rings and Landau-ginzburg Mirror Symmetry in Two Dimensions
For any non-degenerate, quasi-homogeneous hypersurface singularity W and an admissible group of diagonal symmetries G, Fan, Jarvis, and Ruan have constructed a cohomological field theory which is a candidate for the mathematical structure behind the Landau-Ginzburg A-model. When using the orbifold Milnor ring of a singularity W as a B-model, and the Frobenius algebra HW,G constructed by Fan, Ja...
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