2012/08/08 by Dmitry V. Belyaev, Dmitry Belyaev, Patrick Hearin +1
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic number #Black Holes and Theoretical Physics #Boson #Consistency (knowledge bases) #Cosmology and Gravitation Theories #Fermion #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Superconformal algebra #Superspace #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep11(2012)078
published in Journal of High Energy Physics 2012(11) (Springer Nature) · 14 pages
arxiv created 2012/08/08 · openalex publication_date 2012/11/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.