Abstract
We explore further our recent generalization of the = 4 superconformal Chern-Simons theories of Gaiotto and Witten. We find and construct explicitly theories of enhanced = 5 or 6 supersymmetry, especially = 5, Sp(2M) × O(N) and = 6, Sp(2M) × O(2) theories. The U(M) × U(N) theory coincides with the = 6 theory of Aharony, Bergman, Jafferis and Maldacena (ABJM). We argue that the = 5 theory with Sp(2N) × O(2N) gauge group can be understood as an orientifolding of the ABJM model with U(2N) × U(2N) gauge group. We briefly discuss the Type IIB brane construction of the = 5 theory and the geometry of the M-theory orbifold.
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