Hidden conformal symmetry in AdS2×S2 beyond tree level

Heslop, P. J.; Lipstein, A. E.; Santagata, M.

Abstract

Correlators of N=2 hypermultiplets with two-derivative interactions in AdS2×S2 exhibit a hidden four-dimensional conformal symmetry which allows one to repackage all tree-level four-point correlators into a single four-dimensional object corresponding to a contact diagram arising from a massless ϕ4 theory in AdS2×S2. This theory serves as a toy model for IIB string theory in AdS5×S5 and is interesting in its own right because AdS2×S2 describes the near-horizon limit of extremal black holes in four dimensions. We argue that, after acting with an SU(1,1)×SU(2) Casimir, all one-loop correlators can similarly be encoded by a four-dimensional function which arises from a one-loop scalar bubble diagram in AdS2×S2, explaining how the hidden conformal symmetry extends beyond tree level. Finally, we conjecture a scalar effective field theory with a two-derivative interaction in AdS2×S2 whose Witten diagrams should directly reproduce four-point correlators to all loops without acting with Casimirs. Published by the American Physical Society 2024

Citation

Heslop, P., Lipstein, A., & Santagata, M. (2024). Hidden conformal symmetry in AdS2×S2 beyond tree level. Physical Review D, 110(6), Article L061902. https://doi.org/10.1103/physrevd.110.l061902

• Journal Article Type: Article
• Acceptance Date: Aug 13, 2024
• Online Publication Date: Sep 18, 2024
• Publication Date: Sep 18, 2024
• Deposit Date: Sep 19, 2024
• Publicly Available Date: Sep 19, 2024
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 110
• Issue: 6
• Article Number: L061902
• DOI: https://doi.org/10.1103/physrevd.110.l061902
• Public URL: https://durham-repository.worktribe.com/output/2868969