Skip to main content
SpringerLink
Log in

Flavor-symmetry breaking with charged probes

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We discuss the recombination of brane/anti-brane pairs carrying D3 brane charge in AdS 5 × S 5. These configurations are dual to co-dimension one defects in the \( \mathcal{N} \) = 4 super-Yang-Mills description. Due to their D3 charge, these defects are actually domain walls in the dual gauge theory, interpolating between vacua of different gauge symmetry. A pair of unjoined defects each carry localized (2 + 1) dimensional fermions and possess a global U(N) × U(N) flavor symmetry while the recombined brane/anti-brane pairs exhibit only a diagonal U(N). We study the thermodynamics of this flavor-symmetry breaking under the influence of external magnetic field.

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. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1133 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  2. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. E. D’Hoker and D.Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, hep-th/0201253 [INSPIRE].

  4. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [arXiv:0909.0518] [INSPIRE].

    Google Scholar 

  6. O. DeWolfe, D.Z. Freedman and H. Ooguri, Holography and defect conformal field theories, Phys. Rev. D 66 (2002) 025009 [hep-th/0111135] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  7. A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. T. Sakai and S. Sugimoto, Low energy hadron physics in holographic QCD, Prog. Theor. Phys. 113 (2005) 843 [hep-th/0412141] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  9. T. Sakai and S. Sugimoto, More on a holographic dual of QCD, Prog. Theor. Phys. 114 (2005) 1083 [hep-th/0507073] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  10. E. Antonyan, J. Harvey, S. Jensen and D. Kutasov, NJLS and QCD from string theory, hep-th/0604017 [INSPIRE].

  11. E. Antonyan, J. Harvey and D. Kutasov, Chiral symmetry breaking from intersecting D-branes, Nucl. Phys. B 784 (2007) 1 [hep-th/0608177] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. A. Parnachev and D.A. Sahakyan, Photoemission with chemical potential from QCD gravity dual, Nucl. Phys. B 768 (2007) 177 [hep-th/0610247] [INSPIRE].

    Article  ADS  Google Scholar 

  13. J.L. Davis, M. Gutperle, P. Kraus and I. Sachs, Stringy NJLS and Gross-Neveu models at finite density and temperature, JHEP 10 (2007) 049 [arXiv:0708.0589] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  14. O. Bergman, G. Lifschytz and M. Lippert, Response of holographic QCD to electric and magnetic fields, JHEP 05 (2008) 007 [arXiv:0802.3720] [INSPIRE].

    Article  ADS  Google Scholar 

  15. C.V. Johnson and A. Kundu, External fields and chiral symmetry breaking in the Sakai-Sugimoto model, JHEP 12 (2008) 053 [arXiv:0803.0038] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  16. C.V. Johnson and A. Kundu, Meson spectra and magnetic fields in the Sakai-Sugimoto model, JHEP 07 (2009) 103 [arXiv:0904.4320] [INSPIRE].

    Article  ADS  Google Scholar 

  17. A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT’s on branes with boundaries, JHEP 06 (2001) 063 [hep-th/0105132] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. R.C. Myers and M.C. Wapler, Transport properties of holographic defects, JHEP 12 (2008) 115 [arXiv:0811.0480] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. O. Bergman, N. Jokela, G. Lifschytz and M. Lippert, Quantum Hall effect in a holographic model, JHEP 10 (2010) 063 [arXiv:1003.4965] [INSPIRE].

    Article  ADS  Google Scholar 

  20. N. Jokela, G. Lifschytz and M. Lippert, Magneto-roton excitation in a holographic quantum Hall fluid, JHEP 02 (2011) 104 [arXiv:1012.1230] [INSPIRE].

    Article  ADS  Google Scholar 

  21. J.L. Davis, H. Omid and G.W. Semenoff, Holographic fermionic fixed points in D = 3, JHEP 09 (2011) 124 [arXiv:1107.4397] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. J. Polchinski, String theory. Volume 2: superstring theory and beyond, Cambridge University Press, Cambridge U.K. (1998), p. 531.

  23. P. Breitenlohner and D.Z. Freedman, Positive energy in Anti-de Sitter backgrounds and gauged extended supergravity, Phys. Lett. B 115 (1982) 197 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  24. P. Breitenlohner and D.Z. Freedman, Stability in gauged extended supergravity, Annals Phys. 144 (1982) 249 [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. J.L. Davis, P. Kraus and A. Shah, Gravity dual of a quantum Hall plateau transition, JHEP 11 (2008) 020 [arXiv:0809.1876] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  26. V. Gusynin, V. Miransky and I. Shovkovy, Catalysis of dynamical flavor symmetry breaking by a magnetic field in (2 + 1)-dimensions, Phys. Rev. Lett. 73 (1994) 3499 [Erratum ibid. 76 (1996) 1005] [hep-ph/9405262] [INSPIRE].

    Article  ADS  Google Scholar 

  27. F. Preis, A. Rebhan and A. Schmitt, Inverse magnetic catalysis in dense holographic matter, JHEP 03 (2011) 033 [arXiv:1012.4785] [INSPIRE].

    Article  ADS  Google Scholar 

  28. V.G. Filev, C.V. Johnson and J.P. Shock, Universal holographic chiral dynamics in an external magnetic field, JHEP 08 (2009) 013 [arXiv:0903.5345] [INSPIRE].

    Article  ADS  Google Scholar 

  29. V.G. Filev and R.C. Raskov, Magnetic catalysis of chiral symmetry breaking. A holographic prospective, Adv. High Energy Phys. 2010 (2010) 473206 [arXiv:1010.0444] [INSPIRE].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, B.C, V6T 1 W9, Canada

    Joshua L. Davis & Namshik Kim

Authors
  1. Joshua L. Davis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Namshik Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Namshik Kim.

Additional information

ArXiv ePrint: 1109.4952

Rights and permissions

Reprints and permissions

About this article

Cite this article

Davis, J.L., Kim, N. Flavor-symmetry breaking with charged probes. J. High Energ. Phys. 2012, 64 (2012). https://doi.org/10.1007/JHEP06(2012)064

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP06(2012)064

Keywords

Search

Navigation