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

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arxiv 2211.11795 v2 pith:VUAY4W7V submitted 2022-11-21 hep-th

classification hep-th
keywords functionspointcalculationscouplinglimitmathcalplanarquiver
verification ladder T0 review T1 audit T2 compute T3 formal
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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 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.

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  1. Hidden Symmetries of 4D N=2 Gauge Theories

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    The apparently broken SU(4) R-symmetry of the Z2 orbifold of N=4 SYM is recovered as a Lie algebroid and, after marginal deformation, as a Drinfeld-twisted non-associative algebroid under which the planar Lagrangian i...

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