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arxiv: 1007.2633 · v4 · submitted 2010-07-15 · 🧮 math.AG · math.DG

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Berglund-H\"ubsch mirror symmetry via vertex algebras

Lev A. Borisov
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classification 🧮 math.AG math.DG
keywords berglund-hdualityubschvertexalgebraalgebrasbatyrev-borisovcones
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We give a vertex algebra proof of the Berglund-H\"ubsch duality of nondegenerate invertible potentials. We suggest a way to unify it with the Batyrev-Borisov duality of reflexive Gorenstein cones.

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    Deformations in algebraic superstring models indicate a non-algebraic generalization that aligns with mirror duality requirements.