Skip to main content
SpringerLink
Log in

The gravity duals of SO/USp superconformal quivers

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

Abstract

We study the gravity duals of SO/USp superconformal quiver gauge theories realized by wrapping M5-branes on a Riemann surface (“G-curve”) together with a \( {\mathbb{Z}_{{2}}}{\text{ - quotient}} \). When the G-curve has no punctures, the gravity solutions are classified by the genus g of the G-curve and the torsion part of the four-form flux G 4. We also find that there is an interesting relation between anomaly contributions from two mysterious theories: T SO(2N ) theory with SO(2N)3 flavor symmetry and \( {\widetilde{T}_{{{\text{SO}}\left( {2N} \right)}}} \) theory with SO(2N ) × USp(2N − 2)2 flavor symmetry. The dual gravity solutions for various SO/USp-type tails are also studied.

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. D. Gaiotto, N = 2 dualities, arXiv:0904.2715 [INSPIRE].

  2. D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, arXiv:0904.4466 [INSPIRE].

  3. H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004)025 [hep-th/0409174] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. Y. Tachikawa, Six-dimensional D(N) theory and four-dimensional SO-USp quivers, JHEP 07 (2009)067 [arXiv:0905.4074] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. F. Benini, Y. Tachikawa and D. Xie, Mirrors of 3d Sicilian theories, JHEP 09 (2010) 063 [arXiv:1007.0992] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. Y. Tachikawa, N = 2 S-duality via Outer-automorphism Twists, J. Phys. A 44 (2011) 182001 [arXiv:1009.0339] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  7. D. Nanopoulos and D. Xie, More Three Dimensional Mirror Pairs, JHEP 05 (2011) 071 [arXiv:1011.1911] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. L. Hollands, C.A. Keller and J. Song, From SO/Sp instantons to W-algebra blocks, JHEP 03 (2011)053 [arXiv:1012.4468] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. O. Chacaltana and J. Distler, Tinkertoys for the D N series, arXiv:1106.5410 [INSPIRE].

  10. L. Hollands, C.A. Keller and J. Song, Towards a 4d/2d correspondence for Sicilian quivers, JHEP 10 (2011) 100 [arXiv:1107.0973] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. K. Hori, Consistency condition for five-brane in M theory on R 5/Z 2 orbifold, Nucl. Phys. B 539 (1999)35 [hep-th/9805141] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. N.J. Evans, C.V. Johnson and A.D. Shapere, Orientifolds, branes and duality of 4-D gauge theories, Nucl. Phys. B 505 (1997) 251 [hep-th/9703210] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. K. Landsteiner, E. Lopez and D.A. Lowe, N = 2 supersymmetric gauge theories, branes and orientifolds, Nucl. Phys. B 507 (1997) 197 [hep-th/9705199] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  14. A. Brandhuber, J. Sonnenschein, S. Theisen and S. Yankielowicz, M theory and Seiberg-Witten curves: Orthogonal and symplectic groups, Nucl. Phys. B 504 (1997) 175 [hep-th/9705232] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  15. J. de Boer, K. Hori, H. Ooguri and Y. Oz, Branes and dynamical supersymmetry breaking, Nucl. Phys. B 522 (1998) 20 [hep-th/9801060] [INSPIRE].

    Article  ADS  Google Scholar 

  16. E.G. Gimon, On the M theory interpretation of orientifold planes, hep-th/9806226 [INSPIRE].

  17. E. Witten, Solutions of four-dimensional field theories via M theory, Nucl. Phys. B 500 (1997)3 [hep-th/9703166] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  19. D. Gaiotto, G.W. Moore and A. Neitzke, Wall-crossing, Hitchin Systems and the WKB Approximation, arXiv:0907.3987 [INSPIRE].

  20. M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP 07 (1998) 023 [hep-th/9806087] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  21. J.A. Harvey, R. Minasian and G.W. Moore, NonAbelian tensor multiplet anomalies, JHEP 09 (1998) 004 [hep-th/9808060] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. P. Yi, Anomaly of (2,0) theories, Phys. Rev. D 64 (2001) 106006 [hep-th/0106165] [INSPIRE].

    ADS  Google Scholar 

  23. K.A. Intriligator, Anomaly matching and a Hopf-Wess-Zumino term in 6d, N = (2, 0) field theories, Nucl. Phys. B 581 (2000) 257 [hep-th/0001205] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  24. L.F. Alday, F. Benini and Y. Tachikawa, Liouville/Toda central charges from M5-branes, Phys. Rev. Lett. 105 (2010) 141601 [arXiv:0909.4776] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  25. F. Benini, Y. Tachikawa and B. Wecht, Sicilian gauge theories and N = 1 dualities, JHEP 01 (2010) 088 [arXiv:0909.1327] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  26. G. Bonelli and A. Tanzini, Hitchin systems, N = 2 gauge theories and W-gravity, Phys. Lett. B 691 (2010) 111 [arXiv:0909.4031] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  27. T. Nishioka and Y. Tachikawa, Central charges of para-Liouville and Toda theories from M-5-branes, Phys. Rev. D 84 (2011) 046009 [arXiv:1106.1172] [INSPIRE].

    ADS  Google Scholar 

  28. I. Bah, C. Beem, N. Bobev and B. Wecht, AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces, Phys. Rev. D 85 (2012) 121901 [arXiv:1112.5487] [INSPIRE].

    ADS  Google Scholar 

  29. I. Bah, C. Beem, N. Bobev and B. Wecht, Four-Dimensional SCFTs from M5-Branes, JHEP 06 (2012) 005 [arXiv:1203.0303] [INSPIRE].

    Article  ADS  Google Scholar 

  30. Y. Tachikawa, On W-algebras and the symmetries of defects of 6d N = (2, 0) theory, JHEP 03 (2011) 043 [arXiv:1102.0076] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  31. R. Reid-Edwards and B. Stefanski Jr., On type IIA geometries dual to N = 2 SCFTs, Nucl. Phys. B 849 (2011) 549 [arXiv:1011.0216] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for Quantum Spacetime (CQUeST), Sogang University, Shinsu-dong, Mapo-gu, Seoul, 121-742, Korea

    Takahiro Nishinaka

Authors
  1. Takahiro Nishinaka
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Takahiro Nishinaka.

Additional information

ArXiv ePrint: 1202.6613

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nishinaka, T. The gravity duals of SO/USp superconformal quivers. J. High Energ. Phys. 2012, 80 (2012). https://doi.org/10.1007/JHEP07(2012)080

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP07(2012)080

Keywords

Search

Navigation