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

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

2008-06-30

arxiv.org/abs/0806.4977v2

JHEP 0809:002,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages. v2: SUSY of mass deformed theory proven, minor improvements

Scientific paper

10.1088/1126-6708/2008/09/002

We explore further our recent generalization of the $\CN=4$ superconformal Chern-Simons theories of Gaiotto and Witten. We find and construct explicitly theories of enhanced $\CN=5$ or 6 supersymmetry, especially $\CN=5$, $Sp(2M)\times O(N)$ and $\CN=6$, $Sp(2M)\times O(2)$ theories. The $U(M)\times U(N)$ theory coincides with the $\CN=6$ theory of Aharony, Bergman, Jafferis and Maldacena (ABJM). We argue that the $\CN=5$ 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. We briefly discuss the Type IIB brane construction of the $\CN=5$ theory and the geometry of the M-theory orbifold.

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