Operator mixing in large N superconformal field theories on S^4 and correlators with Wilson loops

We find a general formula for the operator mixing on the S4 of chiral primary operators for the N=4 theory at large N in terms of Chebyshev polynomials. As an application, we compute the correlator of a chiral primary operator and a Wilson loop, reproducing an earlier result by Giombi and Pestun obt...

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Bibliographic Details
Authors: Rodríguez Gómez, Diego, Russo, J. G. (Jorge Guillermo)
Format: article
Status:Published version
Publication Date:2016
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/146502
Online Access:https://hdl.handle.net/2445/146502
Access Level:Open access
Keyword:Supersimetria
Teoria de camps (Física)
Supersymmetry
Field theory (Physics)
Description
Summary:We find a general formula for the operator mixing on the S4 of chiral primary operators for the N=4 theory at large N in terms of Chebyshev polynomials. As an application, we compute the correlator of a chiral primary operator and a Wilson loop, reproducing an earlier result by Giombi and Pestun obtained from a two-matrix model proposal. Finally, we discuss a simple method to obtain correlators in general N=2 superconformal field theories in perturbation theory in terms of correlators of the N=4 theory.