Skip to main content
Log in

Note on non-Abelian two-form gauge fields

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

Abstract

Motivated by application to multiple M5-branes, we study some properties of non-Abelian two-form gauge theories. We emphasize that the fake curvature condition which is commonly used in the literature would restrict the dynamics to be either a free theory or a topological system. We then propose a modification of transformation law which simplifies the gauge transformation of 3-form field strength and enables us to write down a gauge invariant action. We then argue that a generalization of Stueckelberg mechanism naturally gives mass to the two-form gauge field. For the application to multiple M5-branes, it should be identified with the KK modes.

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. M.R. Douglas, On D = 5 super Yang-Mills theory and (2,0) theory, JHEP 02 (2011) 011 [arXiv:1012.2880] [INSPIRE].

    ADS  Google Scholar 

  2. N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, M5-Branes, D4-branes and Quantum 5D super-Yang-Mills, JHEP 01 (2011) 083 [arXiv:1012.2882] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. P. Aschieri and B. Jurčo, Gerbes, M5-brane anomalies and E 8 gauge theory, JHEP 10 (2004) 068 [hep-th/0409200] [INSPIRE].

    Article  ADS  Google Scholar 

  4. N. Lambert and C. Papageorgakis, Nonabelian (2,0) Tensor Multiplets and 3-algebras, JHEP 08 (2010) 083 [arXiv:1007.2982] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. S. Kawamoto, T. Takimi and D. Tomino, Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra, J. Phys. A 44 (2011) 325402 [arXiv:1103.1223] [INSPIRE].

    MathSciNet  Google Scholar 

  6. Y. Honma, M. Ogawa and S. Shiba, Dp-branes, NS5-branes and U-duality from nonabelian (2,0) theory with Lie 3-algebra, JHEP 04 (2011) 117 [arXiv:1103.1327] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. P.-M. Ho, K.-W. Huang and Y. Matsuo, A Non-Abelian Self-Dual Gauge Theory in 5 + 1 Dimensions, JHEP 07 (2011) 021 [arXiv:1104.4040] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. K.-W. Huang, Non-Abelian Chiral 2-Form and M5-Branes, arXiv:1206.3983 [INSPIRE].

  9. H. Samtleben, E. Sezgin and R. Wimmer, (1,0) superconformal models in six dimensions, JHEP 12 (2011) 062 [arXiv:1108.4060] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  10. C.-S. Chu and S.-L. Ko, Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors, JHEP 05 (2012) 028 [arXiv:1203.4224] [INSPIRE].

    Article  ADS  Google Scholar 

  11. B. Czech, Y.-t. Huang and M. Rozali, Amplitudes for Multiple M5 Branes, arXiv:1110.2791 [INSPIRE].

  12. D. Fiorenza, H. Sati and U. Schreiber, Multiple M5-branes, String 2-connections and 7d nonabelian Chern-Simons theory, arXiv:1201.5277 [INSPIRE].

  13. S. Palmer and C. Sämann, M-brane Models from Non-Abelian Gerbes, JHEP 07 (2012) 010 [arXiv:1203.5757] [INSPIRE].

    Article  ADS  Google Scholar 

  14. C. Sämann and M. Wolf, Non-Abelian Tensor Multiplet Equations from Twistor Space, arXiv:1205.3108 [INSPIRE].

  15. L. Breen and W. Messing, Differential geometry of GERBES, Adv. Math. 198 (2005) 732 [math/0106083] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  16. J.C. Baez and J. Huerta, An Invitation to Higher Gauge Theory, arXiv:1003.4485 [INSPIRE].

  17. J.-L. Brylinski, Loop Spaces, Characteristic Classes and Geometric Quantization, Birkhäuser, Boston U.S.A. (1993).

  18. 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 

  19. 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 

  20. P. Pasti, D.P. Sorokin and M. Tonin, On Lorentz invariant actions for chiral p forms, Phys. Rev. D 55 (1997) 6292 [hep-th/9611100] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  21. 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].

    MathSciNet  ADS  Google Scholar 

  22. H.-C. Kim, S. Kim, E. Koh, K. Lee and S. Lee, On instantons as Kaluza-Klein modes of M5-branes, JHEP 12 (2011) 031 [arXiv:1110.2175] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pei-Ming Ho.

Additional information

ArXiv ePrint: 1206.5643

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ho, PM., Matsuo, Y. Note on non-Abelian two-form gauge fields. J. High Energ. Phys. 2012, 75 (2012). https://doi.org/10.1007/JHEP09(2012)075

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP09(2012)075

Keywords

Navigation