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Title: 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 {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.

Authors:
 [1]
  1. Landau Institute for Theoretical Physics (Russian Federation)
Publication Date:
OSTI Identifier:
22027948
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 114; Journal Issue: 1; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHIRALITY; FERMIONS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; METRICS

Citation Formats

Parkhomenko, S. E., E-mail: spark@itp.ac.ru. Fermionic screenings and line bundle twisted chiral de Rham complex on CY manifolds. United States: N. p., 2012. Web. doi:10.1134/S1063776111150088.
Parkhomenko, S. E., E-mail: spark@itp.ac.ru. Fermionic screenings and line bundle twisted chiral de Rham complex on CY manifolds. United States. https://doi.org/10.1134/S1063776111150088
Parkhomenko, S. E., E-mail: spark@itp.ac.ru. 2012. "Fermionic screenings and line bundle twisted chiral de Rham complex on CY manifolds". United States. https://doi.org/10.1134/S1063776111150088.
@article{osti_22027948,
title = {Fermionic screenings and line bundle twisted chiral de Rham complex on CY manifolds},
author = {Parkhomenko, S. E., E-mail: spark@itp.ac.ru},
abstractNote = {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.},
doi = {10.1134/S1063776111150088},
url = {https://www.osti.gov/biblio/22027948}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 1,
volume = 114,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2012},
month = {Sun Jan 15 00:00:00 EST 2012}
}