Abstract
We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in \( \mathcal{N} \) = 4 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 AdS2 regions and in the other phase is given by two disconnected AdS2 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.
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Acknowledgments
We thank Simone Giombi for some clarifications regarding [27] and Juan Maldacena for comments. DHC and GAS are partially supported by PICT 2020-03749, PICT 2020-03826, PIP 02229, UNLP X791, UNLP X910 and PUE084 “Búsqueda de nueva física”. The work of AF is supported by CONICYT FONDECYT Regular #1201145 and ANID/ACT210100 Anillo Grant “Holography and its applications to High Energy Physics, Quantum Gravity and Condensed Matter Systems.” The work of WM is partially supported by the INFN, research initiative STEFI. LPZ is partially supported by the U.S. Department of Energy under grant DE-SC0007859, he also acknowledges support from an IBM Einstein Fellowship at the Institute for Advanced Study. The five of us are grateful to ICTP for bringing us to Trieste under various programs (associateships (DHC, AF, LPZ), Giornate Uomo (WM) and the visiting programme (GAS)) during the initial stages of this project.
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Correa, D.H., Faraggi, A., Mück, W. et al. Beyond AdS2/dCFT1: insertions in two Wilson loops. J. High Energ. Phys. 2023, 127 (2023). https://doi.org/10.1007/JHEP10(2023)127
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DOI: https://doi.org/10.1007/JHEP10(2023)127