FJRW rings and Landau-Ginzburg Mirror Symmetry - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: In this article, we study the Berglund-H\-ubsch transpose construction W^Tfor invertible quasihomogeneous potential W. We introduce the dual group G^Tand establish the state space isomorphism between the Fan-Jarvis-Ruan-WittenA-model of W-G and the orbifold Milnor ring B-model of W^T-G^T. Furthermore, weprove a mirror symmetry theorem at the level of Frobenius algebra structure forG^max. Then, we interpret Arnol-d strange duality of exceptional singularitiesW as mirror symmetry between W-J and its strange dual W^SD.



Author: Marc Krawitz

Source: https://arxiv.org/







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