Journal of High Energy Physics

, 2012:47 | Cite as

Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS6



We consider the warped \( Ad{S_6}\times {S^4}/{{\mathbb{Z}}_{\mathrm{n}}} \) backgrounds dual to certain 5d quiver gauge theories. By studying dual giant gravitons in the AdS 6 geometry we are able to partially probe the Higgs branch of these theories. We show how the quantization of the phase space of such dual giants coincides with the counting of holomorphic functions on \( {{\mathbb{C}}^2}/{{\mathbb{Z}}_{\mathrm{n}}} \), which is the geometric part of the Higgs branch for these theories.


Brane Dynamics in Gauge Theories Gauge-gravity correspondence AdSCFT Correspondence 


  1. [1]
    N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].MathSciNetADSGoogle Scholar
  2. [2]
    D.R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories, Nucl. Phys. B 483 (1997) 229 [hep-th/9609070] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  3. [3]
    K.A. Intriligator, D.R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces, Nucl. Phys. B 497 (1997) 56 [hep-th/9702198] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  4. [4]
    E. Witten, Phase transitions in M-theory and F-theory, Nucl. Phys. B 471 (1996) 195 [hep-th/9603150] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  5. [5]
    J. Polchinski and E. Witten, Evidence for heterotic-type-I string duality, Nucl. Phys. B 460 (1996)525 [hep-th/9510169] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  6. [6]
    D. Matalliotakis, H.-P. Nilles and S. Theisen, Matching the BPS spectra of heterotic type I and type I-prime strings, Phys. Lett. B 421 (1998) 169 [hep-th/9710247] [INSPIRE].MathSciNetADSGoogle Scholar
  7. [7]
    O. Bergman, M.R. Gaberdiel and G. Lifschytz, String creation and heterotic type-Iduality, Nucl. Phys. B 524 (1998) 524 [hep-th/9711098] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  8. [8]
    H.-C. Kim, S.-S. Kim and K. Lee, 5-dim superconformal index with enhanced en global symmetry, JHEP 10 (2012) 142 [arXiv:1206.6781] [INSPIRE].ADSCrossRefGoogle Scholar
  9. [9]
    A. Brandhuber and Y. Oz, The D4-D8 brane system and five-dimensional fixed points, Phys. Lett. B 460 (1999) 307 [hep-th/9905148] [INSPIRE].MathSciNetADSGoogle Scholar
  10. [10]
    O. Bergman and D. Rodriguez-Gomez, 5D quivers and their AdS 6 duals, JHEP 07 (2012) 171 [arXiv:1206.3503] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    D.L. Jafferis and S.S. Pufu, Exact results for five-dimensional superconformal field theories with gravity duals, arXiv:1207.4359 [INSPIRE].
  12. [12]
    A. Passias, A note on supersymmetric AdS 6 solutions of massive type IIA supergravity, arXiv:1209.3267 [INSPIRE].
  13. [13]
    Y. Lozano, E. O’Colgain, D. Rodriguez-Gomez and K. Sfetsos, New supersymmetric AdS 6 via T-duality, arXiv:1212.1043 [INSPIRE].
  14. [14]
    E. O’Colgain, Non-abelian T-duality, talk at the XVIII European Workshop on String Theory, September 19-27, Corfu, Greece (2012).Google Scholar
  15. [15]
    D. Tong, TASI lectures on solitons: Instantons, monopoles, vortices and kinks, hep-th/0509216 [INSPIRE].
  16. [16]
    G. Mandal and N.V. Suryanarayana, Counting 1/8-BPS dual-giants, JHEP 03 (2007) 031 [hep-th/0606088] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  17. [17]
    D. Martelli and J. Sparks, Dual giant gravitons in Sasaki-Einstein backgrounds, Nucl. Phys. B 759 (2006) 292 [hep-th/0608060] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  18. [18]
    J. Kinney, J.M. Maldacena, S. Minwalla and S. Raju, An index for 4 dimensional super conformal theories, Commun. Math. Phys. 275 (2007) 209 [hep-th/0510251] [INSPIRE].MathSciNetADSMATHCrossRefGoogle Scholar
  19. [19]
    I. Biswas, D. Gaiotto, S. Lahiri and S. Minwalla, Supersymmetric states of N = 4 Yang-Mills from giant gravitons, JHEP 12 (2007) 006 [hep-th/0606087] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  20. [20]
    J. Polchinski, Tensors from K3 orientifolds, Phys. Rev. D 55 (1997) 6423 [hep-th/9606165] [INSPIRE].MathSciNetADSGoogle Scholar
  21. [21]
    H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004)025 [hep-th/0409174] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  22. [22]
    S. Benvenuti, A. Hanany and N. Mekareeya, The Hilbert series of the one instanton moduli space, JHEP 06 (2010) 100 [arXiv:1005.3026] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  23. [23]
    D.R. Grayson and M.E. Stillman, Macaulay2, a software system for research in algebraic geometry, available at
  24. [24]
    A. Dey, A. Hanany, N. Mekareeya, D. Rodriguez-Gomez and R.K Seong, work in progress.Google Scholar
  25. [25]
    A. Gadde, L. Rastelli, S.S. Razamat and W. Yan, Gauge theories and Macdonald polynomials, arXiv:1110.3740 [INSPIRE].
  26. [26]
    V. Balasubramanian, M. Berkooz, A. Naqvi and M.J. Strassler, Giant gravitons in conformal field theory, JHEP 04 (2002) 034 [hep-th/0107119] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  27. [27]
    S. Corley, A. Jevicki and S. Ramgoolam, Exact correlators of giant gravitons from dual N =4 SYM theory,Adv. Theor. Math. Phys. 5(2002)809[hep-th/0111222][INSPIRE].MathSciNetGoogle Scholar
  28. [28]
    B. Janssen and Y. Lozano, A microscopical description of giant gravitons, Nucl. Phys. B 658 (2003)281 [hep-th/0207199] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  29. [29]
    B. Janssen, Y. Lozano and D. Rodriguez-Gomez, A microscopical description of giant gravitons. 2. The AdS 5 × S 5 background, Nucl. Phys. B 669 (2003) 363 [hep-th/0303183] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  30. [30]
    B. Janssen, Y. Lozano and D. Rodriguez-Gomez, Giant gravitons in AdS 3 × S 3 × T 4 as fuzzy cylinders, Nucl. Phys. B 711 (2005) 392 [hep-th/0406148] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  31. [31]
    B. Janssen, Y. Lozano and D. Rodriguez-Gomez, Giant gravitons and fuzzy CP 2, Nucl. Phys. B 712 (2005) 371 [hep-th/0411181] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Department of Physics, TechnionIsrael Institute of TechnologyHaifaIsrael

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