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Berglund-Hübsch Mirror Symmetry via Vertex Algebras

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Abstract

We give a vertex algebra proof of the Berglund-Hübsch 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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Authors and Affiliations

  1. Mathematics Department, Rutgers University, 110 Frelinghuysen Rd, Piscataway, NJ, 08854, USA

    Lev A. Borisov

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  1. Lev A. Borisov
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Correspondence to Lev A. Borisov.

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Communicated by N. A. Nekrasov

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Borisov, L.A. Berglund-Hübsch Mirror Symmetry via Vertex Algebras. Commun. Math. Phys. 320, 73–99 (2013). https://doi.org/10.1007/s00220-013-1717-y

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  • DOI: https://doi.org/10.1007/s00220-013-1717-y

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