Skip to main content
SpringerLink
Log in

BPS states on M5-brane in large C-field background

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

Abstract

We extensively study BPS solutions of the low energy effective theory of M5- brane in large C-field background. This provides us an opportunity to explore the interactions turned on by C-field background through the Nambu-Poisson structure. The BPS states considered in this paper include the M-waves, the self-dual string (M2 ending on M5), tilted M5-brane, holomorphic embedding of M5-brane and the intersection of two M5-branes along a 3-brane.

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. E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. P. Townsend, The eleven-dimensional supermembrane revisited, Phys. Lett. B 350 (1995) 184 [hep-th/9501068] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. P.-M. Ho and Y. Matsuo, M 5 from M 2, JHEP 06 (2008) 105 [arXiv:0804.3629] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. P.-M. Ho, Y. Imamura, Y. Matsuo and S. Shiba, M 5-brane in three-form flux and multiple M 2-branes, JHEP 08 (2008) 014 [arXiv:0805.2898] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. P.-M. Ho, A concise review on M 5-brane in large C-field background, Chin. J. Phys. 48 (2010)1 [arXiv:0912.0445] [INSPIRE].

    ADS  Google Scholar 

  6. E. Bergshoeff, D. Berman, J. van der Schaar and P. Sundell, A noncommutative M-theory five-brane, Nucl. Phys. B 590 (2000) 173 [hep-th/0005026] [INSPIRE].

    Article  ADS  Google Scholar 

  7. M. Perry and J.H. Schwarz, Interacting chiral gauge fields in six-dimensions and Born-Infeld theory, Nucl. Phys. B 489 (1997) 47 [hep-th/9611065] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for a D = 11 five-brane with the chiral field, Phys. Lett. B 398 (1997) 41 [hep-th/9701037] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. I.A. Bandos et al., Covariant action for the superfive-brane of M-theory, Phys. Rev. Lett. 78 (1997) 4332 [hep-th/9701149] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. M. Aganagic, J. Park, C. Popescu and J.H. Schwarz, World volume action of the M-theory five-brane, Nucl. Phys. B 496 (1997) 191 [hep-th/9701166] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. P.S. Howe, E. Sezgin and P.C. West, Covariant field equations of the M-theory five-brane, Phys. Lett. B 399 (1997) 49 [hep-th/9702008] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. N. Seiberg and E. Witten, String theory and noncommutative geometry, JHEP 09 (1999) 032 [hep-th/9908142] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. P. Townsend, D-branes from M-branes, Phys. Lett. B 373 (1996) 68 [hep-th/9512062] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  14. T. Banks, W. Fischler, S. Shenker and L. Susskind, M theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  15. J. Bagger and N. Lambert, Modeling multiple M2’s, Phys. Rev. D 75 (2007) 045020 [hep-th/0611108] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  16. J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  17. J. Bagger and N. Lambert, Comments on multiple M2-branes, JHEP 02 (2008) 105 [arXiv:0712.3738] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. A. Gustavsson, Algebraic structures on parallel M 2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. C.-H. Chen, K. Furuuchi, P.-M. Ho and T. Takimi, More on the Nambu-Poisson M 5-brane theory: scaling limit, background independence and an all order solution to the Seiberg-Witten map, JHEP 10 (2010) 100 [arXiv:1006.5291] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  20. D. Youm, BPS solitons in M5 brane world volume theory with constant three form field, Phys. Rev. D 63 (2001) 045004 [hep-th/0009082] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  21. P.-M. Ho and C.-H. Yeh, D-brane in RR field background, JHEP 03 (2011) 143 [arXiv:1101.4054] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. P.M. Ho , C.T. Ma and C.H. Yeh, BPS states on D4-brane in large C-field background, in progress.

  23. W.-M. Chen and P.-M. Ho, Lagrangian formulations of self-dual gauge theories in diverse dimensions, Nucl. Phys. B 837 (2010) 1 [arXiv:1001.3608] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  24. N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, M 5-branes, D4-branes and quantum 5D super-Yang-Mills, JHEP 01 (2011) 083 [arXiv:1012.2882] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  25. A.M. Low, Worldvolume superalgebra of BLG theory with Nambu-Poisson structure, JHEP 04 (2010) 089 [arXiv:0909.1941] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  26. K. Furuuchi and T. Takimi, String solitons in the M 5-brane worldvolume action with Nambu-Poisson structure and Seiberg-Witten map, JHEP 08 (2009) 050 [arXiv:0906.3172] [INSPIRE].

    MathSciNet  Google Scholar 

  27. P.S. Howe, N. Lambert and P.C. West, The selfdual string soliton, Nucl. Phys. B 515 (1998) 203 [hep-th/9709014] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  28. Y. Michishita, The M 2 brane soliton on the M 5 brane with constant 3 form, JHEP 09 (2000) 036 [hep-th/0008247] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. P.S. Howe, N. Lambert and P.C. West, The three-brane soliton of the M-five-brane, Phys. Lett. B 419 (1998) 79 [hep-th/9710033] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan, R.O.C.

    Pei-Ming Ho, Chen-Te Ma & Chi-Hsien Yeh

  2. Center for Advanced Study in Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan, R.O.C.

    Pei-Ming Ho

  3. National Center for Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan, R.O.C.

    Pei-Ming Ho

Authors
  1. Pei-Ming Ho
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chen-Te Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chi-Hsien Yeh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Pei-Ming Ho.

Additional information

ArXiv ePrint: 1206.1467

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ho, PM., Ma, CT. & Yeh, CH. BPS states on M5-brane in large C-field background. J. High Energ. Phys. 2012, 76 (2012). https://doi.org/10.1007/JHEP08(2012)076

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP08(2012)076

Keywords

Search

Navigation