Bounds on SCFTs from Conformal Perturbation Theory

Details Bounds on SCFTs from Conformal Perturbation Theory Bounds on SCFTs from Conformal Perturbation Theory

2012-03-22

arxiv.org/abs/1203.5129v2

Physics

High Energy Physics

High Energy Physics - Theory

36 pages; v2: typos fixed, minor changes

Scientific paper

The operator product expansion (OPE) in 4d (super)conformal field theory is of broad interest, for both formal and phenomenological applications. In this paper, we use conformal perturbation theory to study the OPE of nearly-free fields coupled to SCFTs. Under fairly general assumptions, we show that the OPE of a chiral operator of dimension $\Delta = 1+\epsilon$ with its complex conjugate always contains an operator of dimension less than $2 \Delta$. Our bounds apply to Banks-Zaks fixed points and their generalizations, as we illustrate using several examples.

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