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Exact correlation functions in SU(2) N=2 superconformal QCD

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arxiv 1409.4217 v1 pith:E56ITYUS submitted 2014-09-15 hep-th hep-ph

Exact correlation functions in SU(2) N=2 superconformal QCD

classification hep-th hep-ph
keywords functionscorrelationequationsexactgaugetheoryadditionalaspects
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are non-trivial functions of the gauge coupling, obeying differential equations which take the form of the semi-infinite Toda chain. We solve these equations recursively in terms of the Zamolodchikov metric that can be determined exactly from supersymmetric localization on the four-sphere. Our results are verified independently in perturbation theory with a Feynman diagram computation up to 2-loops. This is a short version of a companion paper that contains detailed technical remarks, additional material and aspects of an extension to SU(N) gauge group.

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