The $\mathcal{O}\mathcal{S}\mathcal{P}(2,2|16)$ 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.

14 pages

References in corpus (6)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• E_7(7) on the Light Cone
• The BLG Theory in Light-Cone Superspace