Skip to main content
SpringerLink
Log in

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

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

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 ℙd − 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 ℙd − 1 that twists the chiral de Rham complex on the Calabi-Yau hypersurface.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. B. Anderson, Y. H. He, and A. Lukas, J. High Energy Phys. (online) 0707, 049 (2007); L. B. Anderson, Y. H. He, and A. Lukas, arXiv:hep-th/0702210v2; L. B. Anderson, Y. H. He, and A. Lukas, arXiv:hep-th/0805.2875v1; L. B. Anderson, Y. H. He, and A. Lukas, arXiv:hep-th/0911.0865v1.

    Article  MathSciNet  ADS  Google Scholar 

  2. D. Gepner, Phys. Lett. B 199, 380 (1987); D. Gepner, Nucl. Phys. B 296, 757 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  3. J. A. Harvey and G. Moore, arXiv:hep-th/9609017v2.

  4. L. A. Borisov, arXiv:math.AG/9809094.

  5. L. A. Borisov and A. Libgober, arXiv:math.AG//9904126v1.

  6. F. Malikov, V. Schechtman, and A. Vaintrob, arXiv:alggeom/9803041.

  7. V. Gorbounov and F. Malikov, arXiv:math.AG//0308114.

  8. S. E. Parkhomenko, JETP 111(3), 375 (2010).

    Article  ADS  Google Scholar 

  9. V. I. Danilov, Russ. Math. Surv. 33, 97 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  10. W. Fulton, Introduction to Toric Varieties (Princeton University Press, Princeton, New Jersey, United States, 1993).

    MATH  Google Scholar 

  11. L. Borisov and R. Kaufmann, arXiv:math.AG/1102. 5444v1.

Download references

Author information

Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Chernogolovka, Moscow oblast, 142432, Russia

    S. E. Parkhomenko

Authors
  1. S. E. Parkhomenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. E. Parkhomenko.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Parkhomenko, S.E. Fermionic screenings and line bundle twisted chiral de Rham complex on CY manifolds. J. Exp. Theor. Phys. 114, 39–47 (2012). https://doi.org/10.1134/S1063776111150088

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776111150088

Keywords

Search

Navigation