The associahedron as a holographic entanglement polytope

Abstract

By employing the ${\mathrm{AdS}}_3/{\mathrm{CFT}}_2$ correspondence in this note we observe an analogy between the structures found in connection with the Arkani-Hamed-Bai-He-Yan (ABHY) associahedron used for understanding scattering amplitudes, and the one used for understanding space-time emerging from patterns of entanglement. The analogy suggests the natural interpretation for the associahedron as a holographic entanglement polytope associated to the ${\mathrm{CFT}}_2$ vacuum. Our observations hint at the possibility that the factorization properties of scattering amplitudes are connected to the notion of separability of space-time as used in the theory of holographic quantum entanglement.

arXiv comment15 pages , 5 figures LaTeX

References in corpus (1)

• Tessellations of Moduli Spaces and the Mosaic Operad