Finite N Hilbert Spaces of Bilocal Holography

2026/02/28 by Robert de Mello Koch, Antal Jevicki, Junggi Yoon
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep07(2026)084

34+1 pages; v2: minor corrections

arxiv created 2026/08/06 · arxiv updated 2026/08/07

Abstract

For vector/AdS and dS holography we establish the structure of the emergent Hilbert space. This is done through implementation of finite N trace relations on the infinite collective space. For fermionic theories a finite Hilbert space is established, while for bosonic theories a space of freely acting primaries multiplied by a finite set of secondaries emerges. The Hilbert space of states obey finite N cut off bounds, implying finiteness of traces and entropy.

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