Skip to main content
SpringerLink
Log in

Scalar and vector mesons of flavor chiral symmetry breaking in the Klebanov-Strassler background

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

Abstract

Recently, Dymarsky, Kuperstein and Sonnenschein constructed an embedding of flavor D7- and anti-D7-branes in the Klebanov-Strassler geometry that breaks the super-symmetry of the background, yet is stable. In this article, we study in detail the spectrum of vector mesons in this new model of flavor chiral symmetry breaking and commence an analytical study of the scalar mesons in this setup.

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) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].

    Article  MATH  MathSciNet  Google Scholar 

  2. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].

    MATH  MathSciNet  Google Scholar 

  3. S.S. Gubser and A. Karch, From gauge-string duality to strong interactions: a Pedestrian’s Guide, Ann. Rev. Nucl. Part. Sci. 59 (2009) 145 [arXiv:0901.0935] [SPIRES].

    Article  ADS  Google Scholar 

  4. M. Sharma [STAR Collaboration], Bulk measurements at RHIC and the perfect liquid conjecture, AIP Conf. Proc. 1182 (2009) 763 [SPIRES].

    Article  ADS  Google Scholar 

  5. G. Policastro, D.T. Son and A.O. Starinets, The shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [SPIRES].

    Article  ADS  Google Scholar 

  6. G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  7. G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics. II: Sound waves, JHEP 12 (2002) 054 [hep-th/0210220] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  9. C.P. Herzog, Lectures on Holographic Superfluidity and Superconductivity, J. Phys. A 42 (2009) 343001 [arXiv:0904.1975] [SPIRES].

    Google Scholar 

  10. S.S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [SPIRES].

    ADS  Google Scholar 

  11. S.S. Gubser, Colorful horizons with charge in anti-de Sitter space, Phys. Rev. Lett. 101 (2008) 191601 [arXiv:0803.3483] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  12. S.S. Gubser and S.S. Pufu, The gravity dual of a p-wave superconductor, JHEP 11 (2008) 033 [arXiv:0805.2960] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  13. H. Boschi-Filho and N.R.F. Braga, QCD/String holographic mapping and high energy scattering amplitudes, Phys. Lett. B 560 (2003) 232 [hep-th/0207071] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  14. H. Boschi-Filho and N.R.F. Braga, QCD/String holographic mapping and glueball mass spectrum, Eur. Phys. J. C 32 (2004) 529 [hep-th/0209080] [SPIRES].

    ADS  Google Scholar 

  15. H. Boschi-Filho and N.R.F. Braga, Gauge/string duality and scalar glueball mass ratios, JHEP 05 (2003) 009 [hep-th/0212207] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  16. J. Erlich, E. Katz, D.T. Son and M.A. Stephanov, QCD and a Holographic Model of Hadrons, Phys. Rev. Lett. 95 (2005) 261602 [hep-ph/0501128] [SPIRES].

    Article  ADS  Google Scholar 

  17. U. Gürsoy and E. Kiritsis, Exploring improved holographic theories for QCD: Part I, JHEP 02 (2008) 032 [arXiv:0707.1324] [SPIRES].

    Article  Google Scholar 

  18. I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and χSB-resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  19. S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  20. C.P. Burgess, R. Kallosh and F. Quevedo, de Sitter String Vacua from Supersymmetric D-terms, JHEP 10 (2003) 056 [hep-th/0309187] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  21. S. Kachru et al., Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  22. D. Baumann et al., On D3-brane potentials in compactifications with fluxes and wrapped D-branes, JHEP 11 (2006) 031 [hep-th/0607050] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  23. D. Baumann, A. Dymarsky, I.R. Klebanov and L. McAllister, Towards an Explicit Model of D-brane Inflation, JCAP 01 (2008) 024 [arXiv:0706.0360] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  24. I. Bena, M. Graña and N. Halmagyi, On the Existence of Meta-stable Vacua in Klebanov-Strassler, JHEP 09 (2010) 087 [arXiv:0912.3519] [SPIRES].

    Article  ADS  Google Scholar 

  25. E. Caceres and R. Hernandez, Glueball masses for the deformed conifold theory, Phys. Lett. B 504 (2001) 64 [hep-th/0011204] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  26. M. Mia, K. Dasgupta, C. Gale and S. Jeon, Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas, Nucl. Phys. B 839 (2010) 187 [arXiv:0902.1540] [SPIRES].

    Article  ADS  Google Scholar 

  27. R. Gwyn and A. Knauf, The Geometric Transition Revisited, Rev. Mod. Phys. 8012 (2008) 1419 [hep-th/0703289] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  28. A. Butti, M. Graña, R. Minasian, M. Petrini and A. Zaffaroni, The baryonic branch of Klebanov-Strassler solution: A supersymmetric family of SU(3) structure backgrounds, JHEP 03 (2005) 069 [hep-th/0412187] [SPIRES].

    Article  ADS  Google Scholar 

  29. A. Dymarsky, I.R. Klebanov and N. Seiberg, On the moduli space of the cascading SU(M + p) × SU(p) gauge theory, JHEP 01 (2006) 155 [hep-th/0511254] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  30. J. Maldacena and D. Martelli, The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory, JHEP 01 (2010) 104 [arXiv:0906.0591] [SPIRES].

    Article  MathSciNet  Google Scholar 

  31. J. Gaillard, D. Martelli, C.Núñez and I. Papadimitriou, The warped, resolved, deformed conifold gets flavoured, Nucl. Phys. B 843 (2011) 1 [arXiv:1004.4638] [SPIRES].

    Article  ADS  Google Scholar 

  32. C. Krishnan and S. Kuperstein, The Mesonic Branch of the Deformed Conifold, JHEP 05 (2008) 072 [arXiv:0802.3674] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  33. A. Dymarsky, S. Kuperstein and J. Sonnenschein, Chiral Symmetry Breaking with non-SUSY D 7-branes in ISD backgrounds, JHEP 08 (2009) 005 [arXiv:0904.0988] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  MATH  ADS  Google Scholar 

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

    Article  MATH  ADS  Google Scholar 

  36. S. Kuperstein and J. Sonnenschein, A New Holographic Model of Chiral Symmetry Breaking, JHEP 09 (2008) 012 [arXiv:0807.2897] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  37. I.R. Klebanov and E. Witten, Superconformal field theory on threebranes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  38. A. Dymarsky, D. Melnikov and J. Sonnenschein, Attractive Holographic Baryons, JHEP 06 (2011) 145 [arXiv:1012.1616] [SPIRES].

    Article  ADS  Google Scholar 

  39. T. Sakai and J. Sonnenschein, Probing flavored mesons of confining gauge theories by supergravity, JHEP 09 (2003) 047 [hep-th/0305049] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  40. C.A.B. Bayona, H. Boschi-Filho, M. Ihl and M.A.C. Torres, Pion and Vector Meson Form Factors in the Kuperstein-Sonnenschein holographic model, JHEP 08 (2010) 122 [arXiv:1006.2363] [SPIRES].

    Article  ADS  Google Scholar 

  41. M. Graña and J. Polchinski, Supersymmetric three-form flux perturbations on AdS5, Phys. Rev. D 63 (2001) 026001 [hep-th/0009211] [SPIRES].

    ADS  Google Scholar 

  42. S.S. Gubser, Supersymmetry and F-theory realization of the deformed conifold with three-form flux, hep-th/0010010 [SPIRES].

  43. S. Kuperstein, Meson spectroscopy from holomorphic probes on the warped deformed conifold, JHEP 03 (2005) 014 [hep-th/0411097] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  44. K. Becker, M. Becker and A. Strominger, Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  45. M. Mariño, R. Minasian, G.W. Moore and A. Strominger, Nonlinear instantons from supersymmetric p-branes, JHEP 01 (2000) 005 [hep-th/9911206] [SPIRES].

    Article  ADS  Google Scholar 

  46. I.R. Klebanov and N.A. Nekrasov, Gravity duals of fractional branes and logarithmic RG flow, Nucl. Phys. B 574 (2000) 263 [hep-th/9911096] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  47. I.R. Klebanov and A.A. Tseytlin, Gravity Duals of Supersymmetric SU(N) × SU(N + M) Gauge Theories, Nucl. Phys. B 578 (2000) 123 [hep-th/0002159] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  48. Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [SPIRES].

    ADS  Google Scholar 

  49. E. Witten, Baryons and branes in anti de Sitter space, JHEP 07 (1998) 006 [hep-th/9805112] [SPIRES].

    ADS  Google Scholar 

  50. H. Hata, T. Sakai, S. Sugimoto and S. Yamato, Baryons from instantons in holographic QCD, Prog. Theor. Phys. 117 (2007) 1157 [hep-th/0701280] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  51. K. Hashimoto, T. Sakai and S. Sugimoto, Holographic Baryons: Static Properties and Form Factors from Gauge/String Duality, Prog. Theor. Phys. 120 (2008) 1093 [arXiv:0806.3122] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  52. S. Seki and J. Sonnenschein, Comments on Baryons in Holographic QCD, JHEP 01 (2009) 053 [arXiv:0810.1633] [SPIRES].

    Article  ADS  Google Scholar 

  53. K. Hashimoto, T. Sakai and S. Sugimoto, Nuclear Force from String Theory, Prog. Theor. Phys. 122 (2009) 427 [arXiv:0901.4449] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  54. V. Kaplunovsky and J. Sonnenschein, Searching for an Attractive Force in Holographic Nuclear Physics, JHEP 05 (2011) 058 [arXiv:1003.2621] [SPIRES].

    Article  ADS  Google Scholar 

  55. G. Papadopoulos and A.A. Tseytlin, Complex geometry of conifolds and 5-brane wrapped on 2-sphere, Class. Quant. Grav. 18 (2001) 1333 [hep-th/0012034] [SPIRES].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  56. P. Candelas and X.C. de la Ossa, Comments on Conifolds, Nucl. Phys. B 342 (1990) 246 [SPIRES].

    Article  ADS  Google Scholar 

  57. R. Minasian and D. Tsimpis, On the geometry of non-trivially embedded branes, Nucl. Phys. B 572 (2000) 499 [hep-th/9911042] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  58. J. Evslin and S. Kuperstein, Trivializing and Orbifolding the Conifold’s Base, JHEP 04 (2007) 001 [hep-th/0702041] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  59. E.G. Gimon, L.A. Pando Zayas, J. Sonnenschein and M.J. Strassler, A soluble string theory of hadrons, JHEP 05 (2003) 039 [hep-th/0212061] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21941-972, Rio de Janeiro, RJ, Brasil

    Matthias Ihl, Marcus A. C. Torres & Henrique Boschi-Filho

  2. Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Urca, 22290-180, Rio de Janeiro, RJ, Brasil

    C. A. Ballon Bayona

  3. Centre for Particle Theory, University of Durham, Science Laboratories, South Road, Durham, DH1 3LE, United Kingdom

    C. A. Ballon Bayona

Authors
  1. Matthias Ihl
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marcus A. C. Torres
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Henrique Boschi-Filho
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. C. A. Ballon Bayona
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Henrique Boschi-Filho.

Additional information

ArXiv ePrint: 1010.0993

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ihl, M., Torres, M.A.C., Boschi-Filho, H. et al. Scalar and vector mesons of flavor chiral symmetry breaking in the Klebanov-Strassler background. J. High Energ. Phys. 2011, 26 (2011). https://doi.org/10.1007/JHEP09(2011)026

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP09(2011)026

Keywords

Search

Navigation