TY - JOUR
T1 - Strong coupling expansions in N = 2 quiver gauge theories
AU - Billò, M.
AU - Frau, M.
AU - Lerda, A.
AU - Pini, A.
AU - Vallarino, P.
N1 - Publisher Copyright:
© 2023, The Author(s).
PY - 2023/1
Y1 - 2023/1
N2 - 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.
AB - 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.
KW - 1/N Expansion
KW - AdS-CFT Correspondence
KW - Extended Supersymmetry
KW - Supersymmetric Gauge Theory
UR - http://www.scopus.com/inward/record.url?scp=85146802885&partnerID=8YFLogxK
U2 - 10.1007/JHEP01(2023)119
DO - 10.1007/JHEP01(2023)119
M3 - Article
SN - 1029-8479
VL - 2023
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 119
ER -