Fermionic screenings and chiral de Rham complex on CY manifolds with line bundles

Sergei E. Parkhomenko

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arXiv · 1105.4439

Fermionic screenings and chiral de Rham complex on CY manifolds with line bundles

Sergei E. Parkhomenko

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Abstract

We represent a generalization of Borisov's construction of chiral de Rham complex for the case of line bundle twisted chiral de Rham complex on Calabi-Yau hypersurface in projective space. We generalize the differential associated to the polytope $\Delta$ of the projective space $\mathbb{P}^{d-1}$ by allowing nonzero modes for the screening currents forming this differential. It is shown that the numbers of screening current modes define the support function of toric divisor of a line bundle on $\mathbb{P}^{d-1}$ that twists the chiral de Rham complex on Calabi-Yau hypersurface.

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Sergei E. Parkhomenko. 2011-05-23. Fermionic screenings and chiral de Rham complex on CY manifolds with line bundles. https://arxiv.org/abs/1105.4439

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