Integrated correlators with a Wilson line in N = 4 SYM

M. Billò, F. Galvagno, M. Frau, A. Lerda

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

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.

Lingua originaleInglese
Numero di articolo47
RivistaJournal of High Energy Physics
Volume2023
Numero di pubblicazione12
DOI
Stato di pubblicazionePubblicato - dic 2023

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