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On the chiral ring of Calabi-Yau hypersurfaces in toric varieties

Anvar R. Mavlyutov
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Abstract

We study the B-model chiral ring of Calabi-Yau hypersurfaces in Batyrev's mirror construction. The main result is an explicit description of a subring of the chiral ring of semiample regular (transversal to torus orbits) Calabi-Yau hypersurfaces. This subring includes the marginal operators and contains all information about the correlation functions used by physicists. Computation of the chiral ring passes through a description of cohomology of semiample hypersurfaces. Here, we develop the techniques for calculating of the cohomology of resolutions.

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Anvar R. Mavlyutov. 2000-10-31. On the chiral ring of Calabi-Yau hypersurfaces in toric varieties. https://arxiv.org/abs/math/0010318

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