Log in

M-branes and metastable states

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

Abstract

We study a supersymmetry breaking deformation of the M-theory background found in ar** a 3-sphere at a fixed azimuthal angle on the 4-sphere. This supersymmetry breaking state turns out to be metastable for \( {{p} \left/ {{\tilde{M}}} \right.}\mathop { < }\limits_\sim 0.054 \). We find a smooth O(3)-symmetric Euclidean bounce solution in the M5-brane world volume theory that describes the decay of the false vacuum. Calculation of the Euclidean action shows that the metastable state is extremely long-lived. We also describe the corresponding metastable states and their decay in the type IIA background obtained by reduction along one of the spatial directions of \( {\mathbb{R}^{2,1}} \).

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. Seiberg, Electric-magnetic duality in supersymmetric non-abelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  2. K.A. Intriligator, N. Seiberg and D. Shih, Dynamical SUSY breaking in meta-stable vacua, JHEP 04 (2006) 021 [hep-th/0602239] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  3. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].

    Article  MATH  MathSciNet  Google Scholar 

  4. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  5. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].

    MATH  MathSciNet  Google Scholar 

  6. S. Kachru, J. Pearson and H.L. Verlinde, Brane/flux annihilation and the string dual of a non-supersymmetric field theory, JHEP 06 (2002) 021 [hep-th/0112197] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  7. I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χ SB -resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  8. I.R. Klebanov and A.A. Tseytlin, Gravity duals of supersymmetric SU(N) × SU(N + M) gauge theories, Nucl. Phys. B 578 (2000) 123 [hep-th/0002159] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  9. O. DeWolfe, S. Kachru and M. Mulligan, A gravity dual of metastable dynamical supersymmetry breaking, Phys. Rev. D 77 (2008) 065011 [ar**v:0801.1520] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  10. I. Bena, M. Graña and N. Halmagyi, On the existence of meta-stable vacua in Klebanov-Strassler, JHEP 09 (2010) 087 [ar**v:0912.3519] [SPIRES].

    Article  ADS  Google Scholar 

  11. R.C. Myers, Dielectric-branes, JHEP 12 (1999) 022 [hep-th/9910053] [SPIRES].

    Article  ADS  Google Scholar 

  12. C. Bachas, M.R. Douglas and C. Schweigert, Flux stabilization of D-branes, JHEP 05 (2000) 048 [hep-th/0003037] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  13. B. Freivogel and M. Lippert, Evidence for a bound on the lifetime of de Sitter space, JHEP 12 (2008) 096 [ar**v:0807.1104] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  14. I.R. Klebanov and E. Witten, Superconformal field theory on threebranes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  15. A. Ceresole, G. Dall’Agata, R. D’Auria and S. Ferrara, M-theory on the Stiefel manifold and 3D conformal field theories, JHEP 03 (2000) 011 [hep-th/9912107] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  17. D.L. Jafferis, Quantum corrections to N =2 Chern-Simons theories with flavor and their AdS 4 duals, ar**v:0911.4324 [SPIRES].

  18. O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N =6 superconformal Chern-Simons-matter theories, M 2-branes and their gravity duals, JHEP 10 (2008) 091 [ar**v:0806.1218] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  19. M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, Ricci-flat metrics, harmonic forms and brane resolutions, Commun. Math. Phys. 232 (2003) 457 [hep-th/0012011] [SPIRES].

    MATH  ADS  Google Scholar 

  20. M. Stenzel, Ricci-flat metrics on the complexification of a compact rank one symmetric space, Manuscripta Math. 80 (1993) 151.

    Article  MATH  MathSciNet  Google Scholar 

  21. P. Candelas and X.C. de la Ossa, Comments on conifolds, Nucl. Phys. B 342 (1990) 246 [SPIRES].

    Article  ADS  Google Scholar 

  22. J. Lin, Bound state spectrum from gauge/gravity duality, Senior thesis, Princeton University, Princeton U.S.A. (2010).

  23. S.S. Pufu, I.R. Klebanov, T. Klose and J. Lin, Green’s functions and non-singlet glueballs on deformed conifolds, J. Phys. A 44 (2011) 055404 [ar**v:1009.2763] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  24. C.P. Herzog and I.R. Klebanov, Gravity duals of fractional branes in various dimensions, Phys. Rev. D 63 (2001) 126005 [hep-th/0101020] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  25. S.R. Coleman, The fate of the false vacuum. 1. Semiclassical theory, Phys. Rev. D 15 (1977) 2929 [SPIRES].

    ADS  Google Scholar 

  26. A. Bergman and C.P. Herzog, The volume of some non-spherical horizons and the AdS/CFT correspondence, JHEP 01 (2002) 030 [hep-th/0108020] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  27. A. Hatcher, Algebraic topology, Cambridge University Press, Cambridge U.K. (2002).

    MATH  Google Scholar 

  28. C.P. Herzog, I.R. Klebanov and P. Ouyang, D-branes on the conifold and N =1 gauge/gravity dualities, hep-th/0205100 [SPIRES].

  29. J. Polchinski, String theory. Volume 2: superstring theory and beyond, Cambridge University Press, Cambridge U.K. (1998).

  30. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  31. E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  32. A. Dymarsky, I.R. Klebanov and N. Seiberg, On the moduli space of the cascading SU(M + p) × SU(p) gauge theory, JHEP 01 (2006) 155 [hep-th/0511254] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  33. C.G. Callan Jr., A. Guijosa and K.G. Savvidy, Baryons and string creation from the fivebrane worldvolume action, Nucl. Phys. B 547 (1999) 127 [hep-th/9810092] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  34. C.G. Callan Jr., A. Guijosa, K.G. Savvidy and O. Tafjord, Baryons and flux tubes in confining gauge theories from brane actions, Nucl. Phys. B 555 (1999) 183 [hep-th/9902197] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  35. C.P. Herzog, String tensions and three dimensional confining gauge theories, Phys. Rev. D 66 (2002) 065009 [hep-th/0205064] [SPIRES].

    ADS  Google Scholar 

  36. C.G. Callan Jr. and I.R. Klebanov, D-brane boundary state dynamics, Nucl. Phys. B 465 (1996) 473 [hep-th/9511173] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  37. S.S. Gubser, C.P. Herzog and I.R. Klebanov, Symmetry breaking and axionic strings in the warped deformed conifold, JHEP 09 (2004) 036 [hep-th/0405282] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  38. A. Basu and J.A. Harvey, The M2-M5 brane system and a generalized Nahm’s equation, Nucl. Phys. B 713 (2005) 136 [hep-th/0412310] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  39. A. Hashimoto, Comments on domain walls in holographic duals of mass deformed conformal field theories, JHEP 07 (2011) 031 [ar**v:1105.3687] [SPIRES].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Silviu S. Pufu.

Additional information

Ar**v ePrint:1006.3587

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klebanov, I.R., Pufu, S.S. M-branes and metastable states. J. High Energ. Phys. 2011, 35 (2011). https://doi.org/10.1007/JHEP08(2011)035

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP08(2011)035

Keywords

Navigation