Chiral rings of vertex algebras of mirror symmetry

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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.

Original languageEnglish (US)
Pages (from-to)567-591
Number of pages25
JournalMathematische Zeitschrift
Issue number3
StatePublished - Nov 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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