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

Abstract

Abstract We study the 3-point functions of gauge-invariant scalar operators in four dimensional N $$ \mathcal{N} $$ = 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

• Extended Supersymmetry
• Supersymmetric Gauge Theory
• 1/N Expansion
• AdS-CFT Correspondence