A New Duality Between $\mathcal{N}=8$ Superconformal Field Theories in Three Dimensions

We propose a new duality between two 3d $\mathcal{N}=8$ superconformal Chern-Simons-matter theories: the $U(3{)}_1\times U(3{)}_{-1}$ ABJM theory and a theory consisting of the product between the $\left(SU(2)3\times SU(2){-3}\right)/$\mathbb{Z}$_2$BLGtheoryandafree${\cal N} = 8$ 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.