{ "id": "2211.11795", "version": "v1", "published": "2022-11-21T19:01:02.000Z", "updated": "2022-11-21T19:01:02.000Z", "title": "Strong coupling expansions in $\\mathcal{N}=2$ quiver gauge theories", "authors": [ "M. Billo", "M. Frau", "A. Lerda", "A. Pini", "P. Vallarino" ], "comment": "25 pages, 2 figures", "categories": [ "hep-th" ], "abstract": "We study the 3-point functions of gauge-invariant scalar operators in four dimensional $\\mathcal{N}=2$ 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 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.", "revisions": [ { "version": "v1", "updated": "2022-11-21T19:01:02.000Z" } ], "analyses": { "keywords": [ "quiver gauge theories", "strong coupling expansions", "planar limit", "gauge-invariant scalar operators", "superconformal quiver theories" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }