Skip to main content
SpringerLink
Log in

Higher derivative corrections in holographic Zamolodchikov–Polchinski theorem

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We study higher derivative corrections in holographic dual of Zamolodchikov–Polchinski theorem that states the equivalence between scale invariance and conformal invariance in unitary d-dimensional Poincaré invariant field theories. From the dual holographic perspective, we find that a sufficient condition to show the holographic theorem is the generalized strict null-energy condition of the matter sector in effective (d+1)-dimensional gravitational theory. The same condition has appeared in the holographic dual of the “c-theorem” and our theorem suggests a deep connection between the two, which was manifested in two-dimensional field theoretic proof of the both.

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. A.B. Zamolodchikov, JETP Lett. 43, 730 (1986) [Pisma Zh. Eksp. Teor. Fiz. 43, 565 (1986)]

    MathSciNet  ADS  Google Scholar 

  2. J. Polchinski, Nucl. Phys. B 303, 226 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  3. M. Lüscher, G. Mack, unpublished (1976)

  4. G. Mack, in Nonperturbative Quantum Field Theory. Proceedings, NATO Advanced Study Institute, Cargese, France, July 16–30, 1987

    Google Scholar 

  5. Y. Nakayama, arXiv:0907.0227 [hep-th]

  6. Y. Nakayama, J. High Energy Phys. 1001, 030 (2010). arXiv:0909.4297 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  7. Y. Nakayama, arXiv:1003.5729 [hep-th]

  8. L. Girardello, M. Petrini, M. Porrati, A. Zaffaroni, J. High Energy Phys. 9812, 022 (1998). arXiv:hep-th/9810126

    Article  MathSciNet  ADS  Google Scholar 

  9. D.Z. Freedman, S.S. Gubser, K. Pilch, N.P. Warner, Adv. Theor. Math. Phys. 3, 363 (1999). arXiv:hep-th/9904017

    MathSciNet  MATH  Google Scholar 

  10. R.C. Myers, A. Sinha, arXiv:1006.1263 [hep-th]

  11. A. Strominger, J. High Energy Phys. 0111, 049 (2001). arXiv:hep-th/0110087

    Article  MathSciNet  ADS  Google Scholar 

  12. A. Sinha, arXiv:1008.4315 [hep-th]

  13. R.C. Myers, A. Sinha, J. High Energy Phys. 1101, 125 (2011). arXiv:1011.5819 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  14. D. Dorigoni, V.S. Rychkov, arXiv:0910.1087 [hep-th]

  15. M. Guica, T. Hartman, W. Song, A. Strominger, Phys. Rev. D 80, 124008 (2009). arXiv:0809.4266 [hep-th]

    MathSciNet  ADS  Google Scholar 

  16. G.W. Gibbons, in Supersymmetry, Supergravity and Related Topics, ed. by F. de Aguila, J.A. de Azcarraga, L.E. Ibanez (World Scientific, Singapore, 1985)

    Google Scholar 

  17. Y. Nakayama, S. Rey, work in progress

Download references

Author information

Authors and Affiliations

  1. California Institute of Technology, Pasadena, CA, 91125, USA

    Yu Nakayama

Authors
  1. Yu Nakayama
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu Nakayama.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nakayama, Y. Higher derivative corrections in holographic Zamolodchikov–Polchinski theorem. Eur. Phys. J. C 72, 1870 (2012). https://doi.org/10.1140/epjc/s10052-012-1870-z

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-012-1870-z

Keywords

Search

Navigation