We study the 3-point functions of gauge-invariant scalar operators in four dimensional 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.

Strong coupling expansions in N = 2 quiver gauge theories

Billo', M.;Frau, M.;Pini, A.;Vallarino, P.
2023-01-01

Abstract

We study the 3-point functions of gauge-invariant scalar operators in four dimensional 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.
2023
2023
119
1
26
Extended Supersymmetry, Supersymmetric Gauge Theory, 1/N Expansion, AdS-CFT Correspondence
Billo', M.; Frau, M.; Lerda, A.; Pini, A.; Vallarino, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1888798
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