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By integrating out the U(1)_B gauge field, we show that the U(n)xU(n) ABJMtheory at level k is equivalent to a Z_k identification of the(SU(n)xSU(n))/Z_n Chern-Simons theory, but only when n and k are coprime. As aconsequence, the k=1 ABJM model for two M2-branes in R^8 can be identified withthe N=8 (SU(2)xSU(2))/Z_2 theory. We also conjecture that the U(2)xU(2) ABJMmodel at k=2 is equivalent to the N=8 SU(2)xSU(2)-theory.

Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories