Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry

Abstract

We bootstrap the $4$-point amplitude of $\mathcal{N}=2$ hypermultiplets in ${\text{AdS}}_2\times {\text{S}}^2$ at tree-level and for arbitrary external weights. We hereby explicitly demonstrate the existence of a hidden four-dimensional conformal symmetry that was used as an assumption in previous studies to derive this result.

v1: 23+3 pages, 1 brane scan, 3 Witten diagrams, v2: added ref and comments

References in corpus (16)

• Holography from Conformal Field Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Local bulk S-matrix elements and CFT singularities
• A tauberian theorem for the conformal bootstrap
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• String scattering in flat space and a scaling limit of Yang-Mills correlators
• Double Copy Relation for AdS
• All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• Super Gluon Five-Point Amplitudes in AdS Space
• More on holographic correlators: Twisted and dimensionally reduced structures
• Mellin amplitudes for 1$d$ CFT
• Higher-Dimensional Symmetry of AdS${}_2\times$S${}^2$ Correlators
• Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory