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Correlation functions of Coulomb branch operators

Author(s): Gerchkovuitz, Efrat; Gomis, Jaume; Ishtiaque, Nafiz; Karasik, Avner; Komargodski, Zohar; et al

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Abstract: We consider the correlation functions of Coulomb branch operators in four-dimensional N = 2 Superconformal Field Theories (SCFTs) involving exactly one antichiral operator. These extremal correlators are the “minimal” non-holomorphic local observables in the theory. We show that they can be expressed in terms of certain determinants of derivatives of the four-sphere partition function of an appropriate deformation of the SCFT. This relation between the extremal correlators and the deformed four-sphere partition function is non-trivial due to the presence of conformal anomalies, which lead to operator mixing on the sphere. Evaluating the deformed four-sphere partition function using supersymmetric localization, we compute the extremal correlators explicitly in many interesting examples. Additionally, the representation of the extremal correlators mentioned above leads to a system of integrable differential equations. We compare our exact results with previous perturbative computations and with the four-dimensional tt* equations. We also use our results to study some of the asymptotic properties of the perturbative series expansions we obtain in N = 2 SQCD.
Publication Date: Jan-2017
Electronic Publication Date: 24-Jan-2017
Citation: Gerchkovuitz, Efrat, Gomis, Jaume, Ishtiaque, Nafiz, Karasik, Avner, Komargodski, Zohar, Pufu, Silviu S. (2017). Correlation functions of Coulomb branch operators. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP01(2017)103
DOI: doi:10.1007/JHEP01(2017)103
ISSN: 1029-8479
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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