On Correlation Functions of BPS Operators in 3d \({\mathcal{N} = 6}\) Superconformal Theories

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• 作者：Pedro Liendo ; Carlo Meneghelli ; Vladimir Mitev
• 刊名：Communications in Mathematical Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：350
• 期：1
• 页码：387-419
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Mathematical Physics; Quantum Physics; Complex Systems; Classical and Quantum Gravitation, Relativity Theory;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-0916
• 卷排序：350

文摘

We introduce a novel harmonic superspace for \({3d \mathcal{N}=6}\) superconformal field theories that is tailor made for the study of correlation functions of BPS operators. We calculate a host of two- and three-point functions in full generality and put strong constraints on the form of four-point functions of some selected BPS multiplets. For the four-point function of \({\frac{1}{2}}\)-BPS operators we obtain the associated Ward identities by imposing the absence of harmonic singularities. The latter imply the existence of a solvable subsector in which the correlator becomes topological. This mechanism can be explained by cohomological reduction with respect to a special nilpotent supercharge.