Skip to main content
Log in

Tests of AdS4/CFT3 correspondence for \( \mathcal{N} = {2} \) chiral-like theory

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

Abstract

We investigate the superconformal index and the partition function for the chiral-like Chern-Simons-matter theory proposed for M2-branes probing the cones over M 3,2 and find perfect agreements with the gravity index and the gravitational free energy.

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.H. Schwarz, Superconformal Chern-Simons theories, JHEP 11 (2004) 078 [hep-th/0411077] [INSPIRE].

    Article  ADS  Google Scholar 

  2. K. Hosomichi, K.-M. Lee, S. Lee, S. Lee and J. Park, N = 4 superconformal Chern-Simons theories with hyper and twisted hyper multiplets, JHEP 07 (2008) 091 [arXiv:0805.3662] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. K. Hosomichi, K.-M. Lee, S. Lee, S. Lee and J. Park, N = 5, 6 superconformal Chern-Simons theories and M2-branes on orbifolds, JHEP 09 (2008) 002 [arXiv:0806.4977] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. O. Aharony, O. Bergman, D.L. Jafferis and J.M. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. N. Drukker, M. Mariño and P. Putrov, From weak to strong coupling in ABJM theory, Commun. Math. Phys. 306 (2011) 511 [arXiv:1007.3837] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  6. C.P. Herzog, I.R. Klebanov, S.S. Pufu and T. Tesileanu, Multi-matrix models and tri-Sasaki Einstein spaces, Phys. Rev. D 83 (2011) 046001 [arXiv:1011.5487] [INSPIRE].

    ADS  Google Scholar 

  7. S. Kim, The complete superconformal index for N = 6 Chern-Simons theory, Nucl. Phys. B 821 (2009) 241 [arXiv:0903.4172] [INSPIRE].

    Article  ADS  Google Scholar 

  8. Y. Imamura and S. Yokoyama, A monopole index for N = 4 Chern-Simons theories, Nucl. Phys. B 827 (2010) 183 [arXiv:0908.0988] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. Y. Imamura and S. Yokoyama, Twisted sectors in gravity duals of N = 4 Chern-Simons theories, JHEP 11 (2010) 059 [Erratum ibid. 04 (2011) 068] [arXiv:1008.3180] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  10. J. Choi, S. Lee and J. Song, Superconformal indices for orbifold Chern-Simons theories, JHEP 03 (2009) 099 [arXiv:0811.2855] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. Y. Imamura and S. Yokoyama, Index for three dimensional superconformal field theories with general R-charge assignments, JHEP 04 (2011) 007 [arXiv:1101.0557] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. Y. Imamura, D. Yokoyama and S. Yokoyama, Superconformal index for large-N quiver Chern-Simons theories, JHEP 08 (2011) 011 [arXiv:1102.0621] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. C. Krattenthaler, V. Spiridonov and G. Vartanov, Superconformal indices of three-dimensional theories related by mirror symmetry, JHEP 06 (2011) 008 [arXiv:1103.4075] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  14. A. Kapustin and B. Willett, Generalized superconformal index for three dimensional field theories, arXiv:1106.2484 [INSPIRE].

  15. D.L. Jafferis, Quantum corrections to N = 2 Chern-Simons theories with flavor and their AdS 4 duals, arXiv:0911.4324 [INSPIRE].

  16. F. Benini, C. Closset and S. Cremonesi, Chiral flavors and M2-branes at toric CY4 singularities, JHEP 02 (2010) 036 [arXiv:0911.4127] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  17. S. Franco, A. Hanany, J. Park and D. Rodriguez-Gomez, Towards M2-brane theories for generic toric singularities, JHEP 12 (2008) 110 [arXiv:0809.3237] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. D. Martelli and J. Sparks, Moduli spaces of Chern-Simons quiver gauge theories and AdS 4 /CFT 3, Phys. Rev. D 78 (2008) 126005 [arXiv:0808.0912] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  19. A. Hanany and A. Zaffaroni, Tilings, Chern-Simons theories and M2 branes, JHEP 10 (2008) 111 [arXiv:0808.1244] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  20. F. Benini, C. Closset and S. Cremonesi, Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS 4 /CFT 3, JHEP 09 (2011) 005 [arXiv:1105.2299] [INSPIRE].

    Article  ADS  Google Scholar 

  21. D. Martelli and J. Sparks, AdS 4 /CFT 3 duals from M2-branes at hypersurface singularities and their deformations, JHEP 12 (2009) 017 [arXiv:0909.2036] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. D.L. Jafferis, The exact superconformal R-symmetry extremizes Z, arXiv:1012.3210 [INSPIRE].

  23. D.L. Jafferis, I.R. Klebanov, S.S. Pufu and B.R. Safdi, Towards the F-theorem: N = 2 field theories on the three-sphere, JHEP 06 (2011) 102 [arXiv:1103.1181] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  24. S. Cheon, H. Kim and N. Kim, Calculating the partition function of N = 2 gauge theories on S 3 and AdS/CFT correspondence, JHEP 05 (2011) 134 [arXiv:1102.5565] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  25. D. Martelli and J. Sparks, The large-N limit of quiver matrix models and Sasaki-Einstein manifolds, Phys. Rev. D 84 (2011) 046008 [arXiv:1102.5289] [INSPIRE].

    ADS  Google Scholar 

  26. S. Cheon, D. Gang, S. Kim and J. Park, Refined test of AdS 4 /CFT 3 correspondence for N = 2,3 theories,JHEP 05 (2011) 027 [arXiv:1102.4273] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. A. Amariti and M. Siani, Z extremization in chiral-like Chern Simons theories, arXiv:1109.4152 [INSPIRE].

  28. A. Amariti, C. Klare and M. Siani, The large-N limit of toric Chern-Simons matter theories and their duals, arXiv:1111.1723 [INSPIRE].

  29. D. Gang, E. Koh, K. Lee and J. Park, ABCD of 3d \( \mathcal{N} = {8} \) and 4 superconformal field theories, arXiv:1108.3647 [INSPIRE].

  30. D. Fabbri et al., 3D superconformal theories from Sasakian seven manifolds: new nontrivial evidences for AdS 4 /CFT 3, Nucl. Phys. B 577 (2000) 547 [hep-th/9907219] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jaemo Park.

Additional information

ArXiv ePrint: 1111.4529

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gang, D., Hwang, C., Kim, S. et al. Tests of AdS4/CFT3 correspondence for \( \mathcal{N} = {2} \) chiral-like theory. J. High Energ. Phys. 2012, 79 (2012). https://doi.org/10.1007/JHEP02(2012)079

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP02(2012)079

Keywords

Navigation