Correlators between Wilson loop and chiral operators in N = 2 $$ \mathcal{N}=2 $$ conformal gauge theories

• Main Authors: M. Billò, F. Galvagno, P. Gregori, A. Lerda
• Format: Article
• Language: English
• Published: SpringerOpen 2018-03-01
• Series: Journal of High Energy Physics
• Subjects: Extended Supersymmetry; Wilson; ’t Hooft and Polyakov loops; Conformal Field Theory; Supersymmetric Gauge Theory
• Online Access: http://link.springer.com/article/10.1007/JHEP03(2018)193

Abstract We consider conformal N = 2 $$ \mathcal{N}=2 $$ super Yang-Mills theories with gauge group SU(N) and N f = 2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the expectation value of this system also encodes the one-point functions of chiral scalar operators in presence of the Wilson loop. We obtain evidence of this conjecture by successfully comparing, at finite N and at the two-loop order, the one-point functions computed in field theory with the vacuum expectation values of the corresponding normal-ordered operators in the matrix model. For the part of these expressions with transcendentality ζ(3), we also obtain results in the large-N limit that are exact in the ’t Hooft coupling λ.