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

Journal Article · Sun Jan 15 00:00:00 EST 2012 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776111150088· OSTI ID:22027948

Parkhomenko, S. E., E-mail: [e-mail] ^[1]

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1. Landau Institute for Theoretical Physics (Russian Federation)

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 {Delta} of the projective space Double-Struck-Capital-P {sup 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 Double-Struck-Capital-P {sup d-1} that twists the chiral de Rham complex on the Calabi-Yau hypersurface.

• OSTI ID: 22027948
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 114, Issue 1; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

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