Strong coupling expansions in $\mathcal{N}=2$ quiver gauge theories
Abstract
We study the 3-point functions of gauge-invariant scalar operators in four dimensional 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