BPS Wilson loop in N = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation

• Published in: The journal of high energy physics Vol. 2021; no. 7
• Main Authors: Beccaria, M., Dunne, G. V., Tseytlin, A. A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 14.07.2021; Springer Nature B.V
• Subjects: Classical and Quantum Gravitation; Conformal mapping; Coupling; Elementary Particles; Forecasting; Gauge theory; High energy physics; Interpolation; Minimal surfaces; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Representations; String Theory; AdS-CFT Correspondence; 1; Expansion; Extended Supersymmetry
• ISSN: 1029-8479
• DOI: 10.1007/JHEP07(2021)085

A bstract We consider the expectation value W of the circular BPS Wilson loop in N = 2 superconformal SU( N ) gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This theory admits a regular large N expansion, is planar-equivalent to N = 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS 5 × S 5 superstring theory. On the string theory side W is represented by the path integral expanded near the same AdS 2 minimal surface as in the maximally supersymmetric case. Following the string theory argument in [5], we suggest that as in the N = 4 SYM case and in the N = 2 SU( N ) × SU( N ) superconformal quiver theory discussed in [19], the coefficient of the leading non-planar 1/ N 2 correction in W should have the universal λ 3/2 scaling at large ’t Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for W . We complement the analytic derivation of the λ 3/2 scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansion using conformal mapping improved Padé analysis.