Fermionic screenings and line bundle twisted chiral de Rham complex on CY manifolds

  • S. E. ParkhomenkoEmail author
Nuclei, Particles, Fields, Gravitation, and Astrophysics


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.


Line Bundle Elliptic Genus Vertex Operator Algebra Toric Manifold Hodge Number 
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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsChernogolovka, Moscow oblastRussia

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