Skip to main content
SpringerLink
Log in

5d superconformal indices at large N and holography

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

Abstract

We propose a general formula for the perturbative large N superconformal index of 5d quiver fixed point theories that have an \( {{{Ad{S_6}\times {S^4}}} \left/ {{{{\mathbb{Z}}_n}}} \right.} \) supergravity dual. This index is obtained from the parent theory by projecting to orbifold-invariant states and adding the twisted sector contributions. Our result agrees with expectations from the dual supergravity description. We test our formula against the direct computation of the index for \( {{\mathbb{Z}}_2} \) and \( {{\mathbb{Z}}_3} \) and find complete agreement.

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. N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. 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].

    Article  MathSciNet  ADS  Google Scholar 

  3. A. Brandhuber and Y. Oz, The D-4 - D-8 brane system and five-dimensional fixed points, Phys. Lett. B 460 (1999) 307 [hep-th/9905148] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. O. Bergman and D. Rodriguez-Gomez, 5d quivers and their AdS 6 duals, JHEP 07 (2012) 171 [arXiv:1206.3503] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. O. Bergman and D. Rodriguez-Gomez, Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS 6, JHEP 12 (2012) 047 [arXiv:1210.0589] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. D.L. Jafferis and S.S. Pufu, Exact results for five-dimensional superconformal field theories with gravity duals, arXiv:1207.4359 [INSPIRE].

  7. B. Assel, J. Estes and M. Yamazaki, Wilson Loops in 5d N = 1 SCFTs and AdS/CFT, arXiv:1212.1202 [INSPIRE].

  8. A. Passias, A note on supersymmetric AdS 6 solutions of massive type IIA supergravity, JHEP 01 (2013) 113 [arXiv:1209.3267] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. Y. Lozano, E.O. Colgain, D. Rodriguez-Gomez and K. Sfetsos, New Supersymmetric AdS 6 via T-duality, arXiv:1212.1043 [INSPIRE].

  10. 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].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. 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].

    Article  ADS  Google Scholar 

  12. N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  13. D. Rodriguez-Gomez and G. Zafrir, On the 5d instanton index as a Hilbert series, arXiv:1305.5684 [INSPIRE].

  14. J. Polchinski and E. Witten, Evidence for heterotic - type-I string duality, Nucl. Phys. B 460 (1996) 525 [hep-th/9510169] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  15. 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].

    Article  MathSciNet  ADS  Google Scholar 

  16. O. Bergman, M.R. Gaberdiel and G. Lifschytz, String creation and heterotic type-I’ duality, Nucl. Phys. B 524 (1998) 524 [hep-th/9711098] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  17. J. Polchinski, Tensors from K3 orientifolds, Phys. Rev. D 55 (1997) 6423 [hep-th/9606165] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  18. A. Sen and S. Sethi, The Mirror transform of type-I vacua in six-dimensions, Nucl. Phys. B 499 (1997) 45 [hep-th/9703157] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. Y. Nakayama, Index for orbifold quiver gauge theories, Phys. Lett. B 636 (2006) 132 [hep-th/0512280] [INSPIRE].

    Article  ADS  Google Scholar 

  20. A. Gadde, E. Pomoni and L. Rastelli, The Veneziano Limit of N = 2 Superconformal QCD: Towards the String Dual of N = 2 SU(N c ) SYM with N f = 2N c, arXiv:0912.4918 [INSPIRE].

  21. R. D’Auria, S. Ferrara and S. Vaula, Matter coupled F(4) supergravity and the AdS 6 /CF T 5 correspondence, JHEP 10 (2000) 013 [hep-th/0006107] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  22. R. D’Auria, S. Ferrara and S. Vaula, AdS 6 /CF T 5 correspondence for F(4) supergravity, Fortsch. Phys. 49 (2001) 459 [hep-th/0101066] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Technion, Israel Institute of Technology, Haifa, 32000, Israel

    Oren Bergman & Gabi Zafrir

  2. Department of Physics, Universidad de Oviedo, Avda. Calvo Sotelo 18, 33007, Oviedo, Spain

    Diego Rodríguez-Gómez

Authors
  1. Oren Bergman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Diego Rodríguez-Gómez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Gabi Zafrir
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Diego Rodríguez-Gómez.

Additional information

ArXiv ePrint: 1305.6870

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bergman, O., Rodríguez-Gómez, D. & Zafrir, G. 5d superconformal indices at large N and holography. J. High Energ. Phys. 2013, 81 (2013). https://doi.org/10.1007/JHEP08(2013)081

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP08(2013)081

Keywords

Search

Navigation