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

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.

LaTex, 13 pages

References in corpus (1)

• Heterotic Compactification, An Algorithmic Approach