English

Strong coupling expansions in $\mathcal{N}=2$ quiver gauge theories

High Energy Physics - Theory 2023-02-08 v2

Abstract

We study the 3-point functions of gauge-invariant scalar operators in four dimensional N=2\mathcal{N}=2 superconformal quiver theories using supersymmetric localization in the planar limit of a large number of colors. By exploiting a web of nontrivial relations, we show that the 3-point functions can be expressed in terms of the 2-point functions through exact Ward-like identities that are valid for all values of the coupling constant. In this way, using recent results about the 2-point functions, we are able to obtain the asymptotic strong-coupling expansion of the 3-point functions and of the corresponding structure constants in the planar limit. Our results extend to sub-leading orders what has been recently found at leading order, where a precise match with calculations within the AdS/CFT correspondence at the supergravity level is possible. Therefore, our findings can be interpreted also as a prediction for the sub-leading string corrections to these holographic calculations.

Keywords

Cite

@article{arxiv.2211.11795,
  title  = {Strong coupling expansions in $\mathcal{N}=2$ quiver gauge theories},
  author = {M. Billo and M. Frau and A. Lerda and A. Pini and P. Vallarino},
  journal= {arXiv preprint arXiv:2211.11795},
  year   = {2023}
}

Comments

25 pages, 2 figures, a few references added