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Bounds on SCFTs from Conformal Perturbation Theory

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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 Δ = 1 + ϵ with its complex conjugate always contains an operator of dimension less than 2Δ. Our bounds apply to Banks-Zaks fixed points and their generalizations, as we illustrate using several examples.

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Authors and Affiliations

  1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    Daniel Green

  2. NHETC, Dept. of Physics, Rutgers University, Piscataway, NJ, 08854, U.S.A.

    David Shih

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  1. Daniel Green
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  2. David Shih
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Correspondence to David Shih.

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ArXiv ePrint: 1203.5129

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Green, D., Shih, D. Bounds on SCFTs from Conformal Perturbation Theory. J. High Energ. Phys. 2012, 26 (2012). https://doi.org/10.1007/JHEP09(2012)026

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