Three-point functions in a $\mathcal{N}=2$ superconformal gauge theory and their strong-coupling limit
| Autor: | Billo, M., Frau, M., Lerda, A., Pini, A., Vallarino, P. |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP08(2022)199 |
| Popis: | We study the 3-point functions of single-trace scalar operators in a four-dimensional $\mathcal{N}=2$ SYM theory with gauge group $\mathrm{SU}(N)$ and matter in the symmetric plus anti-symmetric representation, which has a vanishing $\beta$-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. Comment: 38 pages, 10 figures, several footnotes, a couple of references and one appendix added; to be published in JHEP |
| Databáze: | arXiv |
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