Finite $N$ Hilbert Spaces of Bilocal Holography

Robert de Mello Koch; Antal Jevicki; Junggi Yoon

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arXiv · 2602.20788

Finite $N$ Hilbert Spaces of Bilocal Holography

Robert de Mello Koch·Antal Jevicki·Junggi Yoon

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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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Robert de Mello Koch, Antal Jevicki, Junggi Yoon. 2026-02-24. Finite $N$ Hilbert Spaces of Bilocal Holography. https://arxiv.org/abs/2602.20788

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