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Chiral rings of vertex algebras of mirror symmetry

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Abstract.

We calculate chiral rings of the N=2 vertex algebras constructed from the combinatorial data of toric mirror symmetry and show that they coincide with the description of stringy cohomology conjectured previously in a joint work with A. Mavlyutov. This constitutes an important reality check of the vertex algebra approach to mirror symmetry.

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Authors and Affiliations

  1. University of Wisconsin-Madison, Mathematics Department, 480 Lincoln Dr, Madison, WI, 53706, 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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in final form: 12 November 2003

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Borisov, L. Chiral rings of vertex algebras of mirror symmetry. Math. Z. 248, 567–591 (2004). https://doi.org/10.1007/s00209-004-0670-z

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  • DOI: https://doi.org/10.1007/s00209-004-0670-z

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