Skip to main content
Log in

SuGra on G 2 structure backgrounds that asymptote to AdS4 and holographic duals of confining 2 + 1d gauge theories with \( \mathcal{N}=1 \) SUSY

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

Abstract

In this work the solution generated by performing a U-duality on a deformation of the Maldacena-Nastase solution is studied. This is a solution of type-IIA with a metric that is asymptotically AdS4 and supports a G 2 structure. It is believed to be dual to a 2+1d, \( \mathcal{N}=1 \) gaugetheorysimilartothebaryonicbranchofKlebanov-Strasslerwithanadditional intermediate scale. An improved radial coordinate is used allowing the derivation of UV series solutions to the BPS equation that persist to all orders. A study of the properties of the dual field theory is performed which includes an operator analysis, Wilson loops and a proposal for gauge couplings. The gauge theory dual appears to be a confining Chern-Simons quiver with gauge couplings that become constant at high energies.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Gaillard and D. Martelli, Fivebranes and resolved deformed G 2 manifolds, JHEP 05 (2011) 109 [arXiv:1008.0640] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. 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] [INSPIRE].

    Article  ADS  Google Scholar 

  3. E. Caceres, C. Núñez and L.A. Pando-Zayas, Heating up the baryonic branch with U-duality: a unified picture of conifold black holes, JHEP 03 (2011) 054 [arXiv:1101.4123] [INSPIRE].

    Article  ADS  Google Scholar 

  4. D. Elander, J. Gaillard, C. Núñez and M. Piai, Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler, JHEP 07 (2011) 056 [arXiv:1104.3963] [INSPIRE].

    Article  ADS  Google Scholar 

  5. J.M. Maldacena and H.S. Nastase, The supergravity dual of a theory with dynamical supersymmetry breaking, JHEP 09 (2001) 024 [hep-th/0105049] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. F. Canoura, P. Merlatti and A.V. Ramallo, The supergravity dual of 3d supersymmetric gauge theories with unquenched flavors, JHEP 05 (2008) 011 [arXiv:0803.1475] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. N.T. Macpherson, The holographic dual of 2+1 dimensional QFTs with N = 1 SUSY and massive fundamental flavours, JHEP 06 (2012) 136 [arXiv:1204.4222] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. 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] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. 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] [INSPIRE].

    Article  ADS  Google Scholar 

  10. J.M. Maldacena and C. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. J.M. 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] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  12. R. Casero, C. Núñez and A. Paredes, Towards the string dual of N = 1 SQCD-like theories, Phys. Rev. D 73 (2006) 086005 [hep-th/0602027] [INSPIRE].

    ADS  Google Scholar 

  13. R. Casero, C. Núñez and A. Paredes, Elaborations on the string dual to N = 1 SQCD, Phys. Rev. D 77 (2008) 046003 [arXiv:0709.3421] [INSPIRE].

    ADS  Google Scholar 

  14. C. Hoyos-Badajoz, C. Núñez and I. Papadimitriou, Comments on the string dual to N = 1 SQCD, Phys. Rev. D 78 (2008) 086005 [arXiv:0807.3039] [INSPIRE].

    ADS  Google Scholar 

  15. E. Conde, J. Gaillard, C. Núñez, M. Piai and A.V. Ramallo, A tale of two cascades: Higgsing and Seiberg-duality cascades from type IIB string theory, JHEP 02 (2012) 145 [arXiv:1112.3350] [INSPIRE].

    Article  ADS  Google Scholar 

  16. E. Conde, J. Gaillard and A.V. Ramallo, On the holographic dual of N = 1 SQCD with massive flavors, JHEP 10 (2011) 023 [arXiv:1107.3803] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  17. A. Barranco, E. Pallante and J.G. Russo, N = 1 SQCD-like theories with N f massive flavors from AdS/CFT and 1-functions, JHEP 09 (2011) 086 [arXiv:1107.4002] [INSPIRE].

    Article  ADS  Google Scholar 

  18. D. Marolf, Chern-Simons terms and the three notions of charge, hep-th/0006117 [INSPIRE].

  19. F. Benini, F. Canoura, S. Cremonesi, C. Núñez and A.V. Ramallo, Backreacting flavors in the Klebanov-Strassler background, JHEP 09 (2007) 109 [arXiv:0706.1238] [INSPIRE].

    Article  ADS  Google Scholar 

  20. J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136 [INSPIRE].

  21. I. Heemskerk and J. Polchinski, Holographic and Wilsonian renormalization groups, JHEP 06 (2011) 031 [arXiv:1010.1264] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. C. Núñez, M. Piai and A. Rago, Wilson loops in string duals of walking and flavored systems, Phys. Rev. D 81 (2010) 086001 [arXiv:0909.0748] [INSPIRE].

    ADS  Google Scholar 

  24. F. Bigazzi, A.L. Cotrone, C. Núñez and A. Paredes, Heavy quark potential with dynamical flavors: a first order transition, Phys. Rev. D 78 (2008) 114012 [arXiv:0806.1741] [INSPIRE].

    ADS  Google Scholar 

  25. M. Warschawski, Wilson loops of Klebanov-Strassler like wrapped brane models, arXiv:1212.3472 [INSPIRE].

  26. C. Núñez, I. Papadimitriou and M. Piai, Walking dynamics from string duals, Int. J. Mod. Phys. A 25 (2010) 2837 [arXiv:0812.3655] [INSPIRE].

    Article  ADS  Google Scholar 

  27. D. Elander and M. Piai, Light scalars from a compact fifth dimension, JHEP 01 (2011) 026 [arXiv:1010.1964] [INSPIRE].

    Article  ADS  Google Scholar 

  28. C.P. Herzog and I.R. Klebanov, On string tensions in supersymmetric SU(M) gauge theory, Phys. Lett. B 526 (2002) 388 [hep-th/0111078] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Niall T. Macpherson.

Additional information

ArXiv ePrint: 1301.5178

Rights and permissions

Reprints and permissions

About this article

Cite this article

Macpherson, N.T. SuGra on G 2 structure backgrounds that asymptote to AdS4 and holographic duals of confining 2 + 1d gauge theories with \( \mathcal{N}=1 \) SUSY. J. High Energ. Phys. 2013, 76 (2013). https://doi.org/10.1007/JHEP04(2013)076

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP04(2013)076

Keywords

Navigation