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2008

N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds

Hosomichi, Kazuo, Lee, Ki-Myeong, Lee, Sangmin et al.

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We explore further our recent generalization of the $\mathcal{N}=4$ superconformal Chern-Simons theories of Gaiotto and Witten.

We find and construct explicitly theories of enhanced $\mathcal{N}=5$ or 6 supersymmetry, especially $\mathcal{N}=5$, $Sp(2M)\times O(N)$ and $\mathcal{N}=6$, $Sp(2M)\times O(2)$ theories.
The $U(M)\times U(N)$ theory coincides with the $\mathcal{N}=6$ theory of Aharony, Bergman, Jafferis and Maldacena (ABJM).
We argue that the $\mathcal{N}=5$ theory with $Sp(2N)\times O(2N)$ gauge group can be understood as an orientifolding of the ABJM model with $U(2N)\times U(2N)$ gauge group.

N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds · Around

Built on

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K. M. Lee and H. U. Yee, “New AdS(4) x X(7) geometries with N = 6 in M theory,” JHEP 0703
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A. Gustavsson, “Algebraic structures on parallel M2-branes,” arXiv:0709.1260 [hep-th]
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Then

S. Lee, S. Lee and J. Park, “Toric AdS 4 /CFT 3 duals and M-theory crystals,” JHEP 0705
2007
Later among the works it cites.
S. Franco , A. Hanany , D. Krefl , J. Park , A. M. Uranga and D. Vegh, “Dimers and orientifolds,” JHEP 0709
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2007
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J. Bagger and N. Lambert, “Gauge Symmetry and Supersymmetry of Multiple M2-Branes,” Phys. Rev. D 77
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2008
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J. Bagger and N. Lambert, “Comments On Multiple M2-branes,” JHEP 0802
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A. Gustavsson, “Selfdual strings and loop space Nahm equations,” arXiv:0802.3456 [hep-th]

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M. Van Raamsdonk, “Comments on the Bagger-Lambert theory and multiple M2-branes,” arXiv:0803.3803 [hep-th]

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N. Lambert and D. Tong, “Membranes on an Orbifold,” arXiv:0804.1114 [hep-th]

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J. Distler, S. Mukhi, C. Papageorgakis and M. Van Raamsdonk, “M2-branes on M-folds,” arXiv:0804.1256 [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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