Bounds on SCFTs from Conformal Perturbation Theory
arXiv:1203.5129 · doi:10.1007/JHEP09(2012)026
Abstract
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 with its complex conjugate always contains an operator of dimension less than . Our bounds apply to Banks-Zaks fixed points and their generalizations, as we illustrate using several examples.
36 pages; v2: typos fixed, minor changes
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- General Messenger Higgs Mediation
- Minimal Distances Between SCFTs
- Higgs Mediation with Strong Hidden Sector Dynamics
- Quasi-fixed points from scalar sequestering and the little hierarchy problem in supersymmetry
- Non-Perturbative Constraints on Light Sparticles from Properties of the RG Flow
- A Note on Bounds of Scalar Operators in Perturbative SCFTs