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

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

2011-05-23

arxiv.org/abs/1105.4439v3

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 13 pages

Scientific paper

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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