Three-point functions in a N $$ \mathcal{N} $$ = 2 superconformal gauge theory and their strong-coupling limit

Autor: M. Billò, M. Frau, A. Lerda, A. Pini, P. Vallarino
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2022, Iss 8, Pp 1-39 (2022)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2022)199
Popis: Abstract We study the 3-point functions of single-trace scalar operators in a four-dimensional N $$ \mathcal{N} $$ = 2 SYM theory with gauge group SU(N) and matter in the symmetric plus anti-symmetric representation, which has a vanishing β-function. By mapping this computation to the matrix model arising from localization on a 4-sphere we are able to resum the perturbative expansion in the large-N ’t Hooft limit and derive the behavior of the correlators at strong coupling. Finally, by combining our results on the 3-point functions with those on the 2-point functions that have been recently found, we obtain the normalized 3-point coefficients of this conformal field theory at strong coupling and find that they depend in a simple way on the conformal dimensions of the single-trace operators.
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