Beyond AdS$_2$/dCFT$_1$: Insertions in Two Wilson Loops
Abstract
We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of two Wilson-Maldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS regions and in the other phase is given by two disconnected AdS caps; this configuration breaks supersymmetry as well as conformal invariance. We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.
Cite
@article{arxiv.2303.17635,
title = {Beyond AdS$_2$/dCFT$_1$: Insertions in Two Wilson Loops},
author = {Diego H. Correa and Alberto Faraggi and Wolfgang Mück and Leopoldo A. Pando Zayas and Guillermo A. Silva},
journal= {arXiv preprint arXiv:2303.17635},
year = {2023}
}