Fermionic screenings and line bundle twisted chiral de Rham complex on CY manifolds
Abstract
We present a generalization of Borisov's construction of the chiral de Rham complex in the case of the line-bundle-twisted chiral de Rham complex on a Calabi-Yau hypersurface in a projective space. We generalize the differential associated with a polytope Δ of the projective space 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 the toric divisor of a line bundle on ℙ d - 1 that twists the chiral de Rham complex on the Calabi-Yau hypersurface.
- Publication:
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Soviet Journal of Experimental and Theoretical Physics
- Pub Date:
- January 2012
- DOI:
- 10.1134/S1063776111150088
- Bibcode:
- 2012JETP..114...39P