TY - JOUR
T1 - BPS wilson loops in generic conformal N = 2 SU(N) SYM theories
AU - Billò, M.
AU - Galvagno, F.
AU - Lerda, A.
N1 - Publisher Copyright:
© 2019, The Author(s).
PY - 2019/8/1
Y1 - 2019/8/1
N2 - We consider the 1/2 BPS circular Wilson loop in a generic N = 2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite N and in the large-N limit, using the interacting matrix model provided by localization results. We single out some families of theories for which the Wilson loop vacuum expectation values approaches the N = 4 result in the large-N limit, in agreement with the fact that they possess a simple holographic dual. At finite N and in the generic case, we explicitly compare the matrix model result with the field-theory perturbative expansion up to order g8 for the terms proportional to the Riemann value ζ (5), finding perfect agreement. Organizing the Feynman diagrams as suggested by the structure of the matrix model turns out to be very convenient for this computation.
AB - We consider the 1/2 BPS circular Wilson loop in a generic N = 2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite N and in the large-N limit, using the interacting matrix model provided by localization results. We single out some families of theories for which the Wilson loop vacuum expectation values approaches the N = 4 result in the large-N limit, in agreement with the fact that they possess a simple holographic dual. At finite N and in the generic case, we explicitly compare the matrix model result with the field-theory perturbative expansion up to order g8 for the terms proportional to the Riemann value ζ (5), finding perfect agreement. Organizing the Feynman diagrams as suggested by the structure of the matrix model turns out to be very convenient for this computation.
KW - Conformal Field Theory
KW - Extended Supersymmetry
KW - Supersymmetric Gauge Theory
KW - Wilson
KW - ’t Hooft and Polyakov loops
UR - https://www.scopus.com/pages/publications/85071730369
U2 - 10.1007/JHEP08(2019)108
DO - 10.1007/JHEP08(2019)108
M3 - Article
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 108
ER -