Speaker
Description
Understanding the black hole interior remains one of the central challenges in quantum gravity and holography. In this talk, we will argue that a special extremal slice inside an AdS black hole is dual to an absolutely maximally entangled (AME) state. This claim is supported by showing that the holographic n-th Rényi entropies are independent of n for arbitrary bipartitions of the corresponding subsystems, indicating a flat entanglement spectrum. Our result provides a holographic realization of an AME state in an infinite-volume system, with the effective local bond dimension set by the density of black hole entropy. In particular, this construction offers concrete support from the gravity side for the emergence of random structures and infinite-dimensional Hilbert spaces in recent non-isometric holographic codes. We will also comment on possible connections to non-Hermitian quantum systems.