TY - JOUR
T1 - Correlators between Wilson loop and chiral operators in N= 2 conformal gauge theories
AU - Billò, M.
AU - Galvagno, F.
AU - Gregori, P.
AU - Lerda, A.
N1 - Publisher Copyright:
© 2018, The Author(s).
PY - 2018/3/1
Y1 - 2018/3/1
N2 - 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 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.
AB - 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 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.
KW - Conformal Field Theory
KW - Extended Supersymmetry
KW - Supersymmetric Gauge Theory
KW - Wilson
KW - ’t Hooft and Polyakov loops
UR - http://www.scopus.com/inward/record.url?scp=85044941372&partnerID=8YFLogxK
U2 - 10.1007/JHEP03(2018)193
DO - 10.1007/JHEP03(2018)193
M3 - Article
SN - 1126-6708
VL - 2018
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 3
M1 - 193
ER -