ZhETF, Vol. 141,
p. 47 (January 2012)
(English translation - JETP,
Vol. 114, No. 1,
available online at www.springer.com
FERMIONIC SCREENINGS AND LINE BUNDLE TWISTED CHIRAL DE RHAM COMPLEX ON CY MANIFOLDS
Received: June 1, 2011
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 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 that twists the chiral de Rham complex on the Calabi-Yau hypersurface.