The OSP(2,2|16) superconformal theory is free!
Abstract
The SuperConformal theory in three space-time dimensions with SO(16) R-symmetry, 128 bosons, and 128 fermions, cannot sustain interactions. This result is obtained using both light-cone superspace techniques which rely on algebraic consistency, and covariant methods which rely on SO(16) Fierz identities which fail to produce the desired algebra.
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