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D2 or M2? A Note on Membrane Scattering · Around

2008

D2 or M2? A Note on Membrane Scattering

Verlinde, Herman

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Motivated by a physical interpretation of its correlation functions as membrane scattering amplitudes, we re-address whether the Lorentzian BLG theory can be quantized such that it preserves SO(8) superconformal symmetry.

We find that this appears to be possible.
While the model seems to adequately reproduce protected quantities such as chiral primary amplitudes and the four derivative effective action, we conclude that, as understood at present, it gives a relatively unpractical parametrization of the IR dynamics of M2-branes.

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S. Paban, S. Sethi and M. Stern, Adv. Theor. Math. Phys. 3
Original
1999
Earlier work this paper cites.
J. Bagger and N. Lambert, “Modeling multiple M2’s,” Phys. Rev. D 75
Original
2008
Earlier work this paper cites.

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J. Bagger and N. Lambert, “Comments On Multiple M2-branes,” JHEP 0802
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2008
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A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th];
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O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” arXiv:0806.1218 [hep-th]
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J. Gomis, G. Milanesi and J. G. Russo, “Bagger-Lambert Theory for General Lie Algebras,” arXiv:0805.1012 [hep-th]
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S. Benvenuti, D. Rodriguez-Gomez, E. Tonni and H. Verlinde, “N=8 superconformal gauge theories and M2 branes,” arXiv:0805.1087 [hep-th]
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P. M. Ho, Y. Imamura, Y. Matsuo, “M2 to D2 revisited,” arXiv:0805.1202 [hep-th]
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M. A. Bandres, A. E. Lipstein and J. H. Schwarz, “Ghost-Free Superconformal Action for Multiple M2-Branes,” arXiv:0806.0054 [hep-th]
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B. Ezhuthachan, S. Mukhi, C. Papageorgakis, “D2 to D2,” arXiv:0806.1639 [hep-th]
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J. Gomis, D. Rodriguez-Gomez, M. Van Raamsdonk and H. Verlinde, arXiv:0806.0738 [hep-th], version 2
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Y. Honma, S. Iso, Y. Sumitomo and S. Zhang, arXiv:0805.1895 [hep-th]; “Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories,” arXiv:0806.3498 [hep-th]
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J. Gomis, D. Rodriguez-Gomez, M. Van Raamsdonk and H. Verlinde, “A Massive Study of M2-brane Proposals,” arXiv:0807.1074 [hep-th]
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S. Banerjee, A. Sen, “Interpreting the M2-brane Action,” arXiv:0805.3930 [hep-th]
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Cited in the paper.

Then

S. Mukhi and C. Papageorgakis, “M2 to D2,” JHEP 0805
Original
2008
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