Bounds on SCFTs from Conformal Perturbation Theory

Bounds on SCFTs from Conformal Perturbation Theory
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共形微扰理论对 SCFT 的界限

DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
D. Shih
D. Shih
中科院分区：
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文献类型：
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作者：
D. Green;D. Shih

文献摘要

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四维（超）共形场论中的算符乘积展开（OPE）在形式和唯象两方面都有广泛的应用。本文利用共形微扰理论研究了近自由场与超导薄膜晶体管耦合时的光学参量效应。在相当一般的假设下，我们证明了维数为Δ = 1 + λ的手征算子及其复共轭的OPE总是包含维数小于2Δ的算子.我们的界限适用于班克斯-扎克斯不动点及其推广，我们用几个例子来说明。
A bstractThe 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.