TY - JOUR
T1 - Integrated correlators with a Wilson line in N = 4 SYM
AU - Billò, M.
AU - Galvagno, F.
AU - Frau, M.
AU - Lerda, A.
N1 - Publisher Copyright:
© 2023, The Author(s).
PY - 2023/12
Y1 - 2023/12
N2 - In the context of integrated correlators in N = 4 SYM, we study the 2-point functions of local operators with a superconformal line defect. Starting from the mass-deformed N = 2* theory in presence of a 12 -BPS Wilson line, we exploit the residual superconformal symmetry after the defect insertion, and show that the massive deformation corresponds to integrated insertions of the superconformal primaries belonging to the stress tensor multiplet with a specific integration measure which is explicitly derived after enforcing the superconformal Ward identities. Finally, we show how the Wilson line integrated correlator can be computed by the N = 2* Wilson loop vacuum expectation value on a 4-sphere in terms of a matrix model using supersymmetric localization. In particular, we reformulate previous matrix model computations by making use of recursion relations and Bessel kernels, providing a direct link with more general localization computations in N = 2 theories.
AB - In the context of integrated correlators in N = 4 SYM, we study the 2-point functions of local operators with a superconformal line defect. Starting from the mass-deformed N = 2* theory in presence of a 12 -BPS Wilson line, we exploit the residual superconformal symmetry after the defect insertion, and show that the massive deformation corresponds to integrated insertions of the superconformal primaries belonging to the stress tensor multiplet with a specific integration measure which is explicitly derived after enforcing the superconformal Ward identities. Finally, we show how the Wilson line integrated correlator can be computed by the N = 2* Wilson loop vacuum expectation value on a 4-sphere in terms of a matrix model using supersymmetric localization. In particular, we reformulate previous matrix model computations by making use of recursion relations and Bessel kernels, providing a direct link with more general localization computations in N = 2 theories.
KW - Extended Supersymmetry
KW - Matrix Models
KW - Wilson, ’t Hooft and Polyakov loops
UR - http://www.scopus.com/inward/record.url?scp=85179372431&partnerID=8YFLogxK
U2 - 10.1007/JHEP12(2023)047
DO - 10.1007/JHEP12(2023)047
M3 - Article
SN - 1029-8479
VL - 2023
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 12
M1 - 47
ER -