2014/09/15 by Marco Baggio, Vasilis Niarchos, Kyriakos Papadodimas · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Exact solutions in general relativity #Gauge theory #Mathematical physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevlett.113.251601
published as Phys. Rev. Lett. 113, 251601 (2014) · 5 pages
arxiv created 2014/09/15 · openalex publication_date 2014/12/15 · arxiv updated 2014/12/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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 nontrivial 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 the SU(N) gauge group.