Restrictions Imposed by Superconformal Invariance on Quantum Field Theories

1997/12/08 by Shiraz Minwalla · 2 voices · 1 citation
#hep-th

paper · pdf

Abstract

We derive unitarity restrictions on the scaling dimensions of primary operators in a superconformal quantum field theory, in d=3,4,5,6.

Cited by

• M2-brane indices on Higgs vacua

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]

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