We consider conformal N = 2 super Yang-Mills theories with gauge group SU(N ) and Nf = 2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wil- son 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 pres- ence 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.
Correlators between Wilson loop and chiral operators in N= 2 conformal gauge theories
Billò, M.;GALVAGNO, FRANCESCO;GREGORI, PAOLO;Lerda, A.
2018-01-01
Abstract
We consider conformal N = 2 super Yang-Mills theories with gauge group SU(N ) and Nf = 2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wil- son 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 pres- ence 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.File | Dimensione | Formato | |
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