A new duality between N=8 superconformal field theories in three dimensions

We propose a new duality between two 3d N = 8 superconformal ChernSimons-matter theories: the U(3)(1) x U(3)(-1) ABJM theory and a theory consisting of the product between the (SU(2)(3) x SU(2)(-3)) /Z(2) BLG theory and a free N = 8 theory of eight real scalars and eight Majorana fermions. As evidence supporting this duality, we show that the moduli spaces, superconformal indices, S-3 partition functions, and certain OPE coefficients of BPS operators in the two theories agree.