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

Abstract

Abstract We consider the expectation value W $$ \left\langle \mathcal{W}\right\rangle $$ of the circular BPS Wilson loop in N $$ \mathcal{N} $$ = 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 $$ \mathcal{N} $$ = 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS5 × S 5 superstring theory. On the string theory side W $$ \left\langle \mathcal{W}\right\rangle $$ is represented by the path integral expanded near the same AdS2 minimal surface as in the maximally supersymmetric case. Following the string theory argument in [5], we suggest that as in the N $$ \mathcal{N} $$ = 4 SYM case and in the N $$ \mathcal{N} $$ = 2 SU(N) × SU(N) superconformal quiver theory discussed in [19], the coefficient of the leading non-planar 1/N 2 correction in W $$ \left\langle \mathcal{W}\right\rangle $$ 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 $$ \left\langle \mathcal{W}\right\rangle $$ . 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.

Keywords

• AdS-CFT Correspondence
• 1/N Expansion
• Extended Supersymmetry