The superconformal algebra in higher dimensions

1988/11/01 by Steven Shnider · 2 voices · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · doi:10.1007/bf00402046

Cited by

• Lectures on Conformal Field Theory
• Towards an M5-brane model I: A 6d superconformal field theory
• Massive spin 2 excitations in AdS6 × S2 warped spacetimes

Discussions

• I'm looking at the proof that superconformal algebras exists only at $d\le 6$ , while supersymmetry exists in arbitrarily large dimensions. In Eberhardt's notes https://arxiv.org/abs/2006.13280 sectio [stackexchange, 10 points]
• Be aware that Refs. 1-3 are considering complex Lie superalgebras $\mathfrak{g}=\mathfrak{g}_0\oplus\mathfrak{g}_1$ , which are easier to classify. Complexifications do always exist, cf. e.g. this Phy [stackexchange, 3 points]