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Multiple self-dual strings on M5-branes

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Abstract

We show how to define Chern-Simons matter theories with boundary. Rather than imposing boundary conditions, we introduce new boundary degrees of freedom from the beginning and show how they can be used to cancel the gauge non-invariance of the Chern-Simons action. We apply this method to the ABJM theory with boundary. By imposing also boundary conformal invariance, we determine the required boundary action. This result allows us to derive the action for the multiple self-dual strings living on M5-branes.

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References

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

    MathSciNet  ADS  Google Scholar 

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

    MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  4. A. Gustavsson, Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  5. 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  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  7. S. Ray, A.A. Usmani, F. Rahaman, M. Kalam and K. Chakraborty, Electromagnetic mass model admitting conformal motion, arXiv:0806.3568 [SPIRES].

  8. O.-Kab Kwon, P. Oh and J. Sohn, Notes on supersymmetry enhancement of ABJM theory, arXiv:0806.4333.

  9. A. Strominger, Open p-branes, Phys. Lett. B 383 (1996) 44 [hep-th/9512059] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  10. E. Witten, Five-branes and M-theory on an orbifold, Nucl. Phys. B 463 (1996) 383 [hep-th/9512219] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  11. E. Witten, Some comments on string dynamics, hep-th/9507121 [SPIRES].

  12. P. Arvidsson, Superconformal theories in six dimensions, hep-th/0608014 [SPIRES].

  13. C.-S. Chu and D.J. Smith, Towards the quantum geometry of the M5-brane in a constant C-field from multiple membranes, JHEP 04 (2009) 097 [arXiv:0901.1847] [SPIRES].

    Article  ADS  Google Scholar 

  14. L. Motl, Proposals on nonperturbative superstring interactions, hep-th/9701025 [SPIRES].

  15. T. Banks, N. Seiberg and S.H. Shenker, Branes from matrices, Nucl. Phys. B 490 (1997) 91 [hep-th/9612157] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  16. R. Dijkgraaf, E.P. Verlinde and H.L. Verlinde, Matrix string theory, Nucl. Phys. B 500 (1997) 43 [hep-th/9703030] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  17. E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989) 351 [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  18. S. Elitzur, G.W. Moore, A. Schwimmer and N. Seiberg, Remarks on the canonical quantization of the Chern-Simons-Witten theory, Nucl. Phys. B 326 (1989) 108 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  19. D.S. Berman, L.C. Tadrowski and D.C. Thompson, Aspects of multiple membranes, Nucl. Phys. B 802 (2008) 106 [arXiv:0803.3611] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  20. D.S. Berman and D.C. Thompson, Membranes with a boundary, Nucl. Phys. B 820 (2009) 503 [arXiv:0904.0241] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  21. J. Wess and B. Zumino, Consequences of anomalous Ward identities, Phys. Lett. B 37 (1971) 95 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  22. B. Zumino, Chiral anomalies and differential geometry: lectures given at Les Houches (August 1983), B.S. DeWitt and R. Stora eds., North-Holland, Amsterdam The Netherlands (1984), reprinted in Current algebra and anomalies S.B. Treiman et al. eds., Princeton University Press, Princeton U.S.A. (1985).

    Google Scholar 

  23. E. Witten, Global aspects of current algebra, Nucl. Phys. B 223 (1983) 422 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  24. E. Witten, Nonabelian bosonization in two dimensions, Commun. Math. Phys. 92 (1984) 455 [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  25. C.-S. Chu, P.-M. Ho and B. Zumino, Non-abelian anomalies and effective actions for a homogeneous space G/H, Nucl. Phys. B 475 (1996) 484 [hep-th/9602093] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  26. S. Terashima, On M5-branes in N = 6 membrane action, JHEP 08 (2008) 080 [arXiv:0807.0197] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  27. K. Hanaki and H. Lin, M2-M5 systems in N = 6 Chern-Simons theory, JHEP 09 (2008) 067 [arXiv:0807.2074] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  28. M. Benna, I. Klebanov, T. Klose and M. Smedback, Superconformal Chern-Simons theories and AdS 4/CFT 3 correspondence, JHEP 09 (2008) 072 [arXiv:0806.1519] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  29. B. Zumino, Supersymmetry and Kähler manifolds, Phys. Lett. B 87 (1979) 203 [SPIRES].

    ADS  Google Scholar 

  30. L. Álvarez-Gaumé and D.Z. Freedman, Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model, Commun. Math. Phys. 80 (1981) 443 [SPIRES].

    Article  ADS  Google Scholar 

  31. P. Spindel, A. Sevrin, W. Troost and A. Van Proeyen, Complex structures on parallelized group manifolds and supersymmetric σ-models, Phys. Lett. B 206 (1988) 71 [SPIRES].

    ADS  Google Scholar 

  32. P. Spindel, A. Sevrin, W. Troost and A. Van Proeyen, Extended supersymmetric σ-models on group manifolds. 1. The complex structures, Nucl. Phys. B 308 (1988) 662 [SPIRES].

    Article  ADS  Google Scholar 

  33. A. Sevrin, W. Troost, A. Van Proeyen and P. Spindel, Extended supersymmetric σ-models on group manifolds. 2. Current algebras, Nucl. Phys. B 311 (1988) 465 [SPIRES].

    Article  ADS  Google Scholar 

  34. E.A. Ivanov, S.O. Krivonos and V.M. Leviant, Quantum N = 3, N = 4 superconformal WZW σ-models, Phys. Lett. B 215 (1988) 689 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  35. A. Gustavsson, Selfdual strings and loop space Nahm equations, JHEP 04 (2008) 083 [arXiv:0802.3456] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  36. P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [SPIRES].

    ADS  Google Scholar 

  37. P. Hořava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B 475 (1996) 94 [hep-th/9603142] [SPIRES].

    ADS  Google Scholar 

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Authors and Affiliations

  1. Centre for Particle Theory and Department of Mathematics, Durham University, Durham, DH1 3LE, U.K.

    Chong-Sun Chu & Douglas J. Smith

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  1. Chong-Sun Chu
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  2. Douglas J. Smith
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Correspondence to Chong-Sun Chu.

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ArXiv ePrint: 0909.2333

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Chu, CS., Smith, D.J. Multiple self-dual strings on M5-branes. J. High Energ. Phys. 2010, 1 (2010). https://doi.org/10.1007/JHEP01(2010)001

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  • DOI: https://doi.org/10.1007/JHEP01(2010)001

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