Higher-dimensional symmetry of AdS2×S2 correlators

Abl, Theresa; Heslop, Paul; Lipstein, Arthur E.

Abstract

It was recently shown that IIB supergravity on AdS5×S5 enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two complementary approaches to correlators of hypermultiplets in AdS2×S2. In particular, we show that 4-point correlators of 1/2-BPS operators in the 1d boundary can be computed using 4d conformal symmetry and a 4d effective action in the bulk. The 4d conformal symmetry is realised by acting with Casimirs of SU(1, 1|2), and is generically broken by higher derivative corrections. We point out similar structure underlying α′ corrections to IIB supergravity in AdS5×S5. In particular, while the α′3 corrections can be written in terms of a sixth order Casimir acting on a 10d conformal block, similar structure does not appear in higher-order corrections. We note however that a specific combination of higher derivative corrections can give rise to Witten diagrams with higher dimensional symmetry at the integrand level, with breaking then arising from the measure.

Citation

Abl, T., Heslop, P., & Lipstein, A. E. (2022). Higher-dimensional symmetry of AdS2×S2 correlators. Journal of High Energy Physics, 2022(3), Article 76. https://doi.org/10.1007/jhep03%282022%29076

• Journal Article Type: Article
• Acceptance Date: Feb 25, 2022
• Online Publication Date: Mar 11, 2022
• Publication Date: 2022
• Deposit Date: Mar 13, 2022
• Publicly Available Date: Mar 14, 2022
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2022
• Issue: 3
• Article Number: 76
• DOI: https://doi.org/10.1007/jhep03%282022%29076
• Public URL: https://durham-repository.worktribe.com/output/1212885
• Related Public URLs: https://arxiv.org/abs/2112.09597