Chiral rings of vertex algebras of mirror symmetry

Lev A. Borisov

doi:10.1007/s00209-004-0670-z

Chiral rings of vertex algebras of mirror symmetry

Lev A. Borisov

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English (US)
Pages (from-to)	567-591
Number of pages	25
Journal	Mathematische Zeitschrift
Volume	248
Issue number	3
DOIs	https://doi.org/10.1007/s00209-004-0670-z
State	Published - Nov 2004
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s00209-004-0670-z

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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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AB - 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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Chiral rings of vertex algebras of mirror symmetry

Abstract

All Science Journal Classification (ASJC) codes

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