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.
29 pages LaTeX. The introduction is extended. The discussion of chiral rings is made more explicit. An example is included

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