Abstract
We discuss some of the issues arising in trying to extend the ABJM action to include couplings to background fields. This is analogous to the Myers-Chern-Simons terms of the multiple Dp-brane action. We review and extend previous results to include terms which are quadratic in the background fields. These are fixed by requiring that we recover the correct Myers-type terms upon using the novel Higgs mechanism to reduce to the multiple D2-brane action.
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References
J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955] [SPIRES].
J. Bagger and N. Lambert, Comments on multiple M2-branes, JHEP 02 (2008) 105 [arXiv:0712.3738] [SPIRES].
A. Gustavsson, Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260] [SPIRES].
J.P. Gauntlett and J.B. Gutowski, Constraining maximally supersymmetric membrane actions, JHEP 06 (2008) 053 [arXiv:0804.3078] [SPIRES].
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].
O.-K. Kwon, P. Oh and J. Sohn, Notes on supersymmetry enhancement of ABJM theory, JHEP 08 (2009) 093 [arXiv:0906.4333] [SPIRES].
S. Mukhi and C. Papageorgakis, M2 to D2, JHEP 05 (2008) 085 [arXiv:0803.3218] [SPIRES].
Y. Pang and T. Wang, From N M2’sto N D2’s, Phys. Rev. D 78 (2008) 125007 [arXiv:0807.1444] [SPIRES].
R.C. Myers, Dielectric-branes, JHEP 12 (1999) 022 [hep-th/9910053] [SPIRES].
N. Lambert and P. Richmond, M2-branes and background fields, JHEP 10 (2009) 084 [arXiv:0908.2896] [SPIRES].
Y. Kim, O.-K. Kwon, H. Nakajima and D.D. Tolla, Coupling between M2-branes and form fields, JHEP 10 (2009) 022 [arXiv:0905.4840] [SPIRES].
Y. Kim, O.-K. Kwon, H. Nakajima and D.D. Tolla, Interaction between M2-branes and bulk form fields, JHEP 11 (2010) 069 [arXiv:1009.5209] [SPIRES].
J. Adam, J. Gheerardyn, B. Janssen and Y. Lozano, The gauge invariance of the non-abelian Chern-Simons action for D-branes revisited, Phys. Lett. B 589 (2004) 59 [hep-th/0312264] [SPIRES].
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ArXiv ePrint: 1104.5397
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Allen, J.P., Smith, D.J. Coupling M2-branes to background fields. J. High Energ. Phys. 2011, 78 (2011). https://doi.org/10.1007/JHEP08(2011)078
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DOI: https://doi.org/10.1007/JHEP08(2011)078