Decompactification and the Flat-Space Limit of AdS5× S5 Master Correlators
Abstract
We study the flat-space limit of AdS5/CFT4 holographic correlators while accounting for the simultaneous decompactification of the internal S5. We show that this limit is naturally formulated in terms of master propagators and correlators, which resum the infinite tower of Kaluza--Klein modes. For boundary correlators, the resulting expressions can be interpreted in terms of amplitudes with kinematics restricted to 5d. We then consider master correlators whose external insertions are kept in the AdS5×S5 bulk before taking the limit, and argue that they recover flat-space amplitudes with unrestricted kinematics in 10d Minkowski space. Finally, we show that the flat-space limit commutes with the boundary limit if we analytically continue the sphere so that the bulk geometry becomes AdS5 ×dS5, and the resulting formulae suggest an interpretation in terms of amplitudes in flat space with two time directions and with 10d kinematics satisfying two simultaneous null constraints. We discuss the implications of these constructions for flat-space holography and its relation to the Carrollian limit of the dual CFT.
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BibTeX
@misc{eden2026decompactification,
title = {{Decompactification and the Flat-Space Limit of AdS$_5\times$ S$^5$ Master Correlators}},
author = {Burkhard Eden and Paul Heslop and Harshal Kulkarni and Arthur Lipstein and Romain Ruzziconi and Akshay Yelleshpur Srikant},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05409},
eprint = {2609.05409},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05760374v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Decompactification and the Flat-Space Limit of AdS_5× S^5 Master Correlators
AU - Burkhard Eden
AU - Paul Heslop
AU - Harshal Kulkarni
AU - Arthur Lipstein
AU - Romain Ruzziconi
AU - Akshay Yelleshpur Srikant
PY - 2026
DA - 2026/09/04
PB - HAL
DO - 10.48550/arxiv.2609.05409
UR - https://hal.science/hal-05760374v1
AB - We study the flat-space limit of AdS_5/CFT_4 holographic correlators while accounting for the simultaneous decompactification of the internal S^5. We show that this limit is naturally formulated in terms of master propagators and correlators, which resum the infinite tower of Kaluza--Klein modes. For boundary correlators, the resulting expressions can be interpreted in terms of amplitudes with kinematics restricted to 5d. We then consider master correlators whose external insertions are kept in the AdS_5×S^5 bulk before taking the limit, and argue that they recover flat-space amplitudes with unrestricted kinematics in 10d Minkowski space. Finally, we show that the flat-space limit commutes with the boundary limit if we analytically continue the sphere so that the bulk geometry becomes AdS_5 ×dS_5, and the resulting formulae suggest an interpretation in terms of amplitudes in flat space with two time directions and with 10d kinematics satisfying two simultaneous null constraints. We discuss the implications of these constructions for flat-space holography and its relation to the Carrollian limit of the dual CFT.
ER -